Skip to main content

Bartleby Sitemap - Textbook Solutions

All Textbook Solutions for Intermediate Algebra

In the following exercises, solve using a geometry formula. 218. The length of the rectangle is 1.1 meters less than the width. The perimeter of a rectangle is 49.4 meters. Find the dimensions of the rectangle.In the following exercises, solve using a geometry formula. 219. The perimeter of a rectangle of 150 feet. The length of the rectangle is twice the width. Find the length and width of the rectangle.In the following exercises, solve using a geometry formula. 220. The length of the rectangle is three times the width. The perimeter of a rectangle is 72 feet. Find the length and width of the rectangle.In the following exercises, solve using a geometry formula. 221. The length of the rectangle is three meters less than twice the width. The perimeter of a rectangle is 36 meters. Find the dimensions of the rectangle.In the following exercises, solve using a geometry formula. 222. The length of a rectangle is five inches more than twice the width. The perimeter is 34 inches. Find the length and width.In the following exercises, solve using a geometry formula. 223. The perimeter of a triangle is 39 feet. One side of the triangle is one foot longer than the second side. The third side is two feet longer than the second side. Find the length of each side.In the following exercises, solve using a geometry formula. 224. The perimeter of a triangle is 35 feet. One side of the triangle is five feet longer than the second side. The third side is three feet longer than the second side. Find the length of each side.In the following exercises, solve using a geometry formula. 225. One side of a triangle is twice the smallest side. The third side is five feet more than the shortest side. The perimeter is 17 feet. Find the lengths of all three sides.In the following exercises, solve using a geometry formula. 226. One side of a triangle is three times the smallest side. The third side is three feet more than the shortest side. The perimeter is 13 feet. Find the lengths of all three sides.In the following exercises, solve using a geometry formula. 227. The perimeter of a rectangular field is 560 yards. The length is 40 yards more than the width. Find the length and width of the field.In the following exercises, solve using a geometry formula. 228. The perimeter of a rectangular atrium is 160 feet. The length is 16 feet more than the width. Find the length and width of the atrium.In the following exercises, solve using a geometry formula. 229. A rectangular parking lot has perimeter 250 feet. The length is five feet more than twice the width. Find the length and width of the parking lot.In the following exercises, solve using a geometry formula. 230. A rectangular rug has perimeter 240 inches. The length is 12 inches more than twice the width. Find the length and width of the rug.In the following exercises, solve. Approximate answers to the nearest tenth, if necessary. 231. A 13-foot string of lights will be attached to the top of a 12-foot pole for a holiday display as shown. How far from the base of the pole should the end of the string of lights be anchored?In the following exercises, solve. Approximate answers to the nearest tenth, if necessary. 232. am wants to put a banner across her garage door diagonally, as shown, to congratulate her son for his college graduation. The garage door is 12 feet high and 16 feet wide. Approximately how long should the banner be to fit the garage door?In the following exercises, solve. Approximate answers to the nearest tenth, if necessary. 233. Chi is planning to put a diagonal path of paving stones through her flower garden as shown. The flower garden is a square with side 10 feet. What will the length of the path be?In the following exercises, solve. Approximate answers to the nearest tenth, if necessary. 234. Brian borrowed a 20-foot extension ladder to use when he paints his house. If he sets the base of the ladder six feet from the house as shown, how far up will the top of the ladder reach?Converting temperature While on a tour in Greece, Tatyana saw that the temperature was 40° Celsius. Solve for F in the formula C=59(F32) to find the Fahrenheit temperature.Converting temperature Yon was visiting the United States and he saw that the temperature in Seattle one day was 50° Fahrenheit. Solve for C in the formula F=95C+32 to find the Celsius temperature.Christa wants to put a fence around her triangular flowerbed. The sides of the flowerbed are six feet, eight feet and 10 feet. How many feet of fencing will she need to enclose her flowerbed?Jose just removed the children’s play set from his back yard to make room for a rectangular garden. He wants to put a fence around the garden to keep the dog out. He has a 50-foot roll of fence in his garage that he plans to use. To fit in the backyard, the width of the garden must be 10 feet. How long can he make the other side?If you need to put tile on your kitchen floor, do you need to know the perimeter or the area of the kitchen? Explain your reasoning.If you need to put a fence around your backyard, do you need to know the perimeter or the area of the backyard? Explain your reasoning.Look at the two figures below. (a) Which figure looks like it has the larger area? Which looks like it has the larger perimeter? (b) Now calculate the area and perimeter of each figure. Which has the larger area? Which has the larger perimeter? (c) Were the results of part (b) the same as your answers in part (a)? Is that surprising to you?Write a geometry word problem that relates to your life experience, then solve it and explain all your steps.Jesse has $6.55 worth of quarters and nickels in his pocket. The number of nickels is five more than two times the number of quarters. How many nickels and how many quarters does Jesse have?Elane has $7.00 total in dimes and nickels in her coin jar. The number of dimes that Elane has is seven less than three times the number of nickels. How many of each coin does Elane have?Eric paid $19.88 for stamps. The number of 49-cent stamps was eight more than twice the number of 35-cent stamps. How many 49-cent stamps and how many 35-cent stamps did Eric buy?Kailee paid $14.74 for stamps. The number of 49-cent stamps was four less than three times the number of 20-cent stamps. How many 49-cent stamps and how many 20-cent stamps did Kailee buy?During her shift at the museum ticket booth, Leah sold 115 tickets for a total of $1,163. Adult tickets cost $12 and student tickets cost $5. How many adult tickets and how many student tickets did Leah sell?Galen sold 810 tickets for his church’s carnival for a total revenue of $2,820. Children’s tickets cost $3 each and adult tickets cost $5 each. How many children’s tickets and how many adult tickets did he sell?Orlando is mixing nuts and cereal squares to make a party mix. Nuts sell for $7 a pound and cereal squares sell for $4 a pound. Orlando wants to make 30 pounds of party mix at a cost of $6.50 a pound, how many pounds of nuts and how many pounds of cereal squares should he use?Becca wants to mix fruit juice and soda to make a punch. She can buy fruit juice for $3 a gallon and soda for $4 a gallon. If she wants to make 28 gallons of punch at a cost of $3.25 a gallon, how many gallons of fruit juice and how many gallons of soda should she buy?An express train and a local train leave Pittsburgh to travel to Washington, D.C. The express train can make the trip in four hours and the local train takes five hours for the trip. The speed of the express train is 12 miles per hour faster than the speed of the local train. Find the speed of both trains.Jeromy can drive from his house in Cleveland to his college in Chicago in 4.5 hours. It takes his mother six hours to make the same drive. Jeromy drives 20 miles per hour faster than his mother. Find Jeromy’s speed and his mother’s speed.Christopher and his parents live 115 miles apart. They met at a restaurant between their homes to celebrate his mother’s birthday. Christopher drove one and a half hours while his parents drove one hour to get to the restaurant. Christopher’s average speed was ten miles per hour faster than his parents’ average speed. What were the average speeds of Christopher and of his parents as they drove to the restaurant?Ashley goes to college in Minneapolis, 234 miles from her home in Sioux Falls. She wants her parents to bring her more winter clothes, so they decide to meet at a restaurant on the road between Minneapolis and Sioux Falls. Ashley and her parents both drove two hours to the restaurant. Ashley’s average speed was seven miles per hour faster than her parents’ average speed. Find Ashley’s and her parents’ average speed.Pierre and Monique leave their home in Portland at the same time. Pierre drives north on the turnpike at a speed of 75 miles per hour while Monique drives south at a speed of 68 miles per hour. How long will it take them to be 429 miles apart?Thanh and Nhat leave their office in Sacramento at the same time. Thanh drives north on I-5 at a speed of 72 miles per hour. Nhat drives south on I-5 at a speed of 76 miles per hour. How long will it take them to be 330 miles apart?Suzy takes 50 minutes to hike uphill from the parking lot to the lookout tower. It takes her 30 minutes to hike back down to the parking lot. Her speed going downhill is 1.2 miles per hour faster than her speed going uphill. Find Suzy’s uphill and downhill speeds.Llewyn takes 45 minutes to drive his boat upstream from the dock to his favorite fishing spot. It takes him 30 minutes to drive the boat back downstream to the dock. The boat’s speed going downstream is four miles per hour faster than its speed going upstream. Find the boat’s upstream and downstream speeds.Hamilton loves to travel to Las Vegas, 255 miles from his home in Orange County. On his last trip, he left his house at 2:00 p.m. The first part of his trip was on congested city freeways. At 4:00 pm, the traffic cleared and he was able to drive through the desert at a speed 1.75 times faster than when he drove in the congested area. He arrived in Las Vegas at 6:30 p.m. How fast was he driving during each part of his trip?Phuong left home on his bicycle at 10:00. He rode on the flat street until 11:15, then rode uphill until 11:45. He rode a total of 31 miles. His speed riding uphill was 0.6 times his speed on the flat street. Find his speed biking uphill and on the flat street.In the following exercises, solve each coin word problem. 243. Michaela has $2.05 in dimes and nickels in her change purse. She has seven more dimes than nickels. How many coins of each type does she have?In the following exercises, solve each coin word problem. 244. Liliana has $2.10 in nickels and quarters in her backpack. She has 12 more nickels than quarters. How many coins of each type does she have?In the following exercises, solve each coin word problem. 245. In a cash drawer there is $125 in $5 and $10 bills. The number of $10 bills is twice the number of $5 bills. How many of each type of bill is in the drawer?In the following exercises, solve each coin word problem. 246. Sumanta has $175 in $5 and $10 bills in his drawer. The number of $5 bills is three times the number of $10 bills. How many of each are in the drawer?In the following exercises, solve each coin word problem. 247. Chi has $11.30 in dimes and quarters. The number of dimes is three more than three times the number of quarters. How many of each are there?In the following exercises, solve each coin word problem. 248. Alison has $9.70 in dimes and quarters. The number of quarters is eight more than four times the number of dimes. How many of each coin does she have?In the following exercises, solve each coin word problem. 249. Mukul has $3.75 in quarters, dimes and nickels in his pocket. He has five more dimes than quarters and nine more nickels than quarters. How many of each coin are in his pocket?In the following exercises, solve each coin word problem. 250. Vina has $4.70 in quarters, dimes and nickels in her purse. She has eight more dimes than quarters and six more nickels than quarters. How many of each coin are in her purse?In the following exercises, solve each ticket or stamp word problem. 251. The first day of a water polo tournament the total value of tickets sold was $17,610. One-day passes sold for $20 and tournament passes sold for $30. The number of tournament passes sold was 37 more than the number of day passes sold. How many day passes and how many tournament passes were sold?In the following exercises, solve each ticket or stamp word problem. 252. At the movie theater, the total value of tickets sold was $2,612.50. Adult tickets sold for $10 each and senior/child tickets sold for $7.50 each. The number of senior/child tickets sold was 25 less than twice the number of adult tickets sold. How many senior/child tickets and how many adult tickets were sold?In the following exercises, solve each ticket or stamp word problem. 253. Julie went to the post office and bought both $0.41 stamps and $0.26 postcards. She spent $51.40. The number of stamps was 20 more than twice the number of postcards. How many of each did she buy?In the following exercises, solve each ticket or stamp word problem. 254. Jason went to the post office and bought both $0.41 stamps and $0.26 postcards and spent $10.28. The number of stamps was four more than twice the number of postcards. How many of each did he buy?In the following exercises, solve each ticket or stamp word problem. 255. Hilda has $210 worth of $10 and $12 stock shares. The number of $10 shares is five more than twice the number of $12 shares. How many of each type of share does she have?In the following exercises, solve each ticket or stamp word problem. 256. Mario invested $475 in $45 and $25 stock shares. The number of $25 shares was five less than three times the number of $45 shares. How many of each type of share did he buy?In the following exercises, solve each ticket or stamp word problem. 257. The ice rink sold 95 tickets for the afternoon skating session, for a total of $828. General admission tickets cost $10 each and youth tickets cost $8 each. How many general admission tickets and how many youth tickets were sold?In the following exercises, solve each ticket or stamp word problem. 258. For the 7:30 show time, 140 movie tickets were sold. Receipts from the $13 adult tickets and the $10 senior tickets totaled $1,664. How many adult tickets and how many senior tickets were sold?In the following exercises, solve each ticket or stamp word problem. 259. The box office sold 360 tickets to a concert at the college. The total receipts were $4,170. General admission tickets cost $15 and student tickets cost $10. How many of each kind of ticket was sold?In the following exercises, solve each ticket or stamp word problem. 260. Last Saturday, the museum box office sold 281 tickets for a total of $3,954. Adult tickets cost $15 and student tickets cost $12. How many of each kind of ticket was sold?In the following exercises, solve each mixture word problem. 261. Macario is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound and almonds cost $5.25 per pound. How many pounds of macadamia nuts and how many pounds of almonds should Macario use for the mixture to cost $6.50 per pound to make?In the following exercises, solve each mixture word problem. 262. Carmen wants to tile the floor of his house. He will need 1,000 square feet of tile. He will do most of the floor with a tile that costs $1.50 per square foot, but also wants to use an accent tile that costs $9.00 per square foot. How many square feet of each tile should he plan to use if he wants the overall cost to be $3 per square foot?In the following exercises, solve each mixture word problem. 263. Riley is planning to plant a lawn in his yard. He will need nine pounds of grass seed. He wants to mix Bermuda seed that costs $4.80 per pound with Fescue seed that costs $3.50 per pound. How much of each seed should he buy so that the overall cost will be $4.02 per pound?In the following exercises, solve each mixture word problem. 264. Vartan was paid $25,000 for a cell phone app that he wrote and wants to invest it to save for his son’s education. He wants to put some of the money into a bond that pays 4% annual interest and the rest into stocks that pay 9% annual interest. If he wants to earn 7.4% annual interest on the total amount, how much money should he invest in each account?In the following exercises, solve each mixture word problem. 265. Vern sold his 1964 Ford Mustang for $55,000 and wants to invest the money to earn him 5.8% interest per year. He will put some of the money into Fund A that earns 3% per year and the rest in Fund B that earns 10% per year. How much should he invest into each fund if he wants to earn 5.8% interest per year on the total amount?In the following exercises, solve each mixture word problem. 266. Dominic pays 7% interest on his $15,000 college loan and 12% interest on his $11,000 car loan. What average interest rate does he pay on the total $26,000 he owes? (Round your answer to the nearest tenth of a percent.)In the following exercises, solve each mixture word problem. 267. Liam borrowed a total of $35,000 to pay for college. He pays his parents 3% interest on the $8,000 he borrowed from them and pays the bank 6.8% on the rest. What average interest rate does he pay on the total $35,000? (Round your answer to the nearest tenth of a percent.)In the following exercises, solve. 268. Lilah is moving from Portland to Seattle. It takes her three hours to go by train. Mason leaves the train station in Portland and drives to the train station in Seattle with all Lilah’s boxes in his car. It takes him 2.4 hours to get to Seattle, driving at 15 miles per hour faster than the speed of the train. Find Mason’s speed and the speed of the train.In the following exercises, solve. 269. Kathy and Cheryl are walking in a fundraiser. Kathy completes the course in 4.8 hours and Cheryl completes the course in eight hours. Kathy walks two miles per hour faster than Cheryl. Find Kathy’s speed and Cheryl’s speed.the following exercises, solve. 270. Two busses go from Sacramento to San Diego. The express bus makes the trip in 6.8 hours and the local bus takes 10.2 hours for the trip. The speed of the express bus is 25 mph faster than the speed of the local bus. Find the speed of both busses.In the following exercises, solve. 271. A commercial jet and a private airplane fly from Denver to Phoenix. It takes the commercial jet 5.8% hours for the flight, and it takes the private airplane 1.8 hours. The speed of the commercial jet is 210 miles per hour faster than the speed of the private airplane. Find the speed of both airplanes.In the following exercises, solve. 272. Saul drove his truck three hours from Dallas towards Kansas City and stopped at a truck stop to get dinner. At the truck stop he met Erwin, who had driven four hours from Kansas City towards Dallas. The distance between Dallas and Kansas City is 542 miles, and Erwin’s speed was eight miles per hour slower than Saul’s speed. Find the speed of the two truckers.In the following exercises, solve. 273. Charlie and Violet met for lunch at a restaurant between Memphis and New Orleans. Charlie had left Memphis and drove 4.8 hours towards New Orleans. Violet had left New Orleans and drove two hours towards Memphis, at a speed 10 miles per hour faster than Charlie’s speed. The distance between Memphis and New Orleans is 394 miles. Find the speed of the two drivers.In the following exercises, solve. 274. Sisters Helen and Anne live 332 miles apart. For Thanksgiving, they met at their other sister’s house partway between their homes. Helen drove 3.2 hours and Anne drove 2.8 hours. Helen’s average speed was four miles per hour faster than Anne’s. Find Helen’s average speed and Anne’s average speed.In the following exercises, solve. 275. Ethan and Leo start riding their bikes at the opposite ends of a 65-mile bike path. After Ethan has ridden 1.5 hours and Leo has ridden two hours, they meet on the path. Ethan’s speed is six miles per hour faster than Leo’s speed. Find the speed of the two bikers.In the following exercises, solve. 276. Elvira and Aletheia live 3.1 miles apart on the same street. They are in a study group that meets at a coffee shop between their houses. It took Elvira half an hour and Aletheia two-thirds of an hour to walk to the coffee shop. Aletheia’s speed is 0.6 miles per hour slower than Elvira’s speed. Find both women’s walking speeds.In the following exercises, solve. 277. DaMarcus and Fabian live 23 miles apart and play soccer at a park between their homes. DaMarcus rode his bike for three-quarters of an hour and Fabian rode his bike for half an hour to get to the park. Fabian’s speed was six miles per hour faster than DaMarcus’ speed. Find the speed of both soccer players.In the following exercises, solve. 278. Cindy and Richard leave their dorm in Charleston at the same time. Cindy rides her bicycle north at a speed of 18 miles per hour. Richard rides his bicycle south at a speed of 14 miles per hour. How long will it take them to be 96 miles apart?In the following exercises, solve. 279. Matt and Chris leave their uncle’s house in Phoenix at the same time. Matt drives west on I-60 at a speed of 76 miles per hour. Chris drives east on I-60 at a speed of 82 miles per hour. How many hours will it take them to be 632 miles apart?In the following exercises, solve. 280. Two busses leave Billings at the same time. The Seattle bus heads west on I-90 at a speed of 73 miles per hour while the Chicago bus heads east at a speed of 79 miles an hour. How many hours will it take them to be 532 miles apart?In the following exercises, solve. 281. Two boats leave the same dock in Cairo at the same time. One heads north on the Mississippi River while the other heads south. The northbound boat travels four miles per hour. The southbound boat goes eight miles per hour. How long will it take them to be 54 miles apart?In the following exercises, solve. 282. Lorena walks the path around the park in 30 minutes. If she jogs, it takes her 20 minutes. Her jogging speed is 1.5 miles per hour faster than her walking speed. Find Lorena’s walking speed and jogging speed.In the following exercises, solve. 283. Julian rides his bike uphill for 45 minutes, then turns around and rides back downhill. It takes him 15 minutes to get back to where he started. His uphill speed is 3.2 miles per hour slower than his downhill speed. Find Julian’s uphill and downhill speed.In the following exercises, solve. 284. Cassius drives his boat upstream for 45 minutes. It takes him 30 minutes to return downstream. His speed going upstream is three miles per hour slower than his speed going downstream. Find his upstream and downstream speeds.In the following exercises, solve. 285. It takes Darline 20 minutes to drive to work in light traffic. To come home, when there is heavy traffic, it takes her 36 minutes. Her speed in light traffic is 24 miles per hour faster than her speed in heavy traffic. Find her speed in light traffic and in heavy traffic.In the following exercises, solve. 286. At 1:30, Marlon left his house to go to the beach, a distance of 7.6 miles. He rode his skateboard until 2:15, and then walked the rest of the way. He arrived at the beach at 3:00. Marlon’s speed on his skateboard is 2.5 times his walking speed. Find his speed when skateboarding and when walking.In the following exercises, solve. 287. Aaron left at 9:15 to drive to his mountain cabin 108 miles away. He drove on the freeway until 10:45 and then drove on a mountain road. He arrived at 11:05. His speed on the freeway was three times his speed on the mountain road. Find Aaron’s speed on the freeway and on the mountain road.In the following exercises, solve. 288. Marisol left Los Angeles at 2:30 to drive to Santa Barbara, a distance of 95 miles. The traffic was heavy until 3:20. She drove the rest of the way in very light traffic and arrived at 4:20. Her speed in heavy traffic was 40 miles per hour slower than her speed in light traffic. Find her speed in heavy traffic and in light traffic.In the following exercises, solve. 289. Lizette is training for a marathon. At 7:00 she left her house and ran until 8:15 then she walked until 11:15. She covered a total distance of 19 miles. Her running speed was five miles per hour faster than her walking speed. Find her running and walking speeds.John left his house in Irvine at 8:35 a.m. to drive to a meeting in Los Angeles, 45 miles away. He arrived at the meeting at 9:50 a.m.. At 6:30 p.m. he left the meeting and drove home. He arrived home at 7:18 p.m. (a) What was his average speed on the drive from Irvine to Los Angeles? (b) What was his average speed on the drive from Los Angeles to Irvine? (c) What was the total time he spent driving to and from this meeting?Sarah wants to arrive at her friend’s wedding at 3:00. The distance from Sarah’s house to the wedding is 95 miles. Based on usual traffic patterns, Sarah predicts she can drive the first 15 miles at 60 miles per hour, the next 10 miles at 30 miles per hour, and the remainder of the drive at 70 miles per hour. (a) How long will it take Sarah to drive the first 15 miles? (b) How long will it take Sarah to drive the next 10 miles? (c) How long will it take Sarah to drive the rest of the trip? (d) What time should Sarah leave her house?Suppose you have six quarters, nine dimes, and four pennies. Explain how you find the total value of all the coins.Do you find it helpful to use a table when solving coin problems? Why or why not?In the table used to solve coin problems, one column is labeled “number” and another column is labeled “value.” What is the difference between the “number” and the “value”?When solving a uniform motion problem, how does drawing a diagram of the situation help you?Graph each inequality on the number line and write in interval notation: (a) x2 (b) x1.5 (c) x34 .Graph each inequality on the number line and write in interval notation: (a) x4 (b) x0.5 (c) x23 .Graph each inequality on the number line and write in interval notation: (a) 2x1 (b) 5x4 (c) 1x4.25 Graph each inequality on the number line and write in interval notation: (a) 6x2 (b) 3x1 (c) 2.5x6 Solve each inequality, graph the solution on the number line, and write the solution in interval notation: (a) p3416 (b) 9c72 (c) 2438m Solve each inequality, graph the solution on the number line, and write the solution in interval notation: (a) r13712 (b) 12d60 (c) 2443n Solve each inequality, graph the solution on the number line, and write the solution in interval notation: (a) 8q32 (b) k1215 .Solve each inequality, graph the solution on the number line, and write the solution in interval notation: (a) 7r70 (b) u416 .Solve the inequality, graph the solution on the number line, and write the solution in interval notation: 3q7q23 .Solve the inequality, graph the solution on the number line, and write the solution in interval notation: 6x10x+19 .Solve the inequality 9y+2(y+6)5y24 , graph the solution on the number line, and write the solution in interval notation.Solve the inequality 6u+8(u1)10u+32 , graph the solution on the number line, and write the solution in interval notation.Solve the inequality 4b3(3b)5(b6)+2b , graph the solution on the number line, and write the solution in interval notation.Solve the inequality 9h7(2h)8(h+11)+8h , graph the solution on the number line, and write the solution in interval notation.Solve the inequality 14x112x16x+78 , graph the solution on the number line, and write the solution in interval notation.Solve the inequality 25z13z115z35 , graph the solution on the number line, and write the solution in interval notation.Translate and solve. Then graph the solution on the number line, and write the solution in interval notation. Nineteen less than p is no less than 47.Translate and solve. Then graph the solution on the number line, and write the solution in interval notation. Four more than a is at most 15.Angie has $20 to spend on juice boxes for her son’s preschool picnic. Each pack of juice boxes costs $2.63. What is the maximum number of packs she can buy?Daniel wants to surprise his girlfriend with a birthday party at her favorite restaurant. It will cost $42.75 per person for dinner, including tip and tax. His budget for the party is $500. What is the maximum number of people Daniel can have at the party?Sergio and Lizeth have a very tight vacation budget. They plan to rent a car from a company that charges $75 a week plus $0.25 a mile. How many miles can they travel during the week and still keep within their $200 budget?Rameen’s heating bill is $5.42 per month plus $1.08 per therm. How many therms can Rameen use if he wants his heating bill to be a maximum of $87.50.Caleb has a pet sitting business. He charges $32 per hour. His monthly expenses are $2,272. How many hours must he work in order to earn a profit of at least $800 per month?Elliot has a landscape maintenance business. His monthly expenses are $1,100. If he charges $60 per job, how many jobs must he do to earn a profit of at least $4,000 a month?Brenda’s best friend is having a destination wedding and the event will last three days. Brenda has $500 in savings and can earn $15 an hour babysitting. She expects to pay $350 airfare, $375 for food and entertainment and $60 a night for her share of a hotel room. How many hours must she babysit to have enough money to pay for the trip?Josue wants to go on a 10-night road trip with friends next spring. It will cost him $180 for gas, $450 for food, and $49 per night to share a motel room. He has $520 in savings and can earn $30 per driveway shoveling snow. How many driveways must he shovel to have enough money to pay for the trip?In the following exercises, graph each inequality on the number line and write in interval notation. 296. (a) x2 (b) x3.5 (c) x23 In the following exercises, graph each inequality on the number line and write in interval notation. 297. (a) x3 (b) x0.5 (c) x13 In the following exercises, graph each inequality on the number line and write in interval notation. 298. (a) x4 (b) x2.5 (c) x32 In the following exercises, graph each inequality on the number line and write in interval notation. 299. (a) x5 (b) x1.5 (c) x73 In the following exercises, graph each inequality on the number line and write in interval notation. 300. (a) 5xx2 (b) 3x1 (c) 0x1.5 In the following exercises, graph each inequality on the number line and write in interval notation. 301. (a) 2x0 (b) 5x3 (c) 0x3.5 In the following exercises, graph each inequality on the number line and write in interval notation. 302. (a) 1x3 (b) 3x2 (c) 1.25x0 In the following exercises, graph each inequality on the number line and write in interval notation. 303. (a) 4x2 (b) 5x2 (c) 3.75x0 In the following exercises, graph each inequality on the number line and write in interval notation. 304. (a) a+34710 (b) 8x72 (c) 2025h In the following exercises, graph each inequality on the number line and write in interval notation. 305. (a) b+7816 (b) 6y48 (c) 4058k In the following exercises, graph each inequality on the number line and write in interval notation. 306. (a) f1320512 (b) 9t27 (c) 76j42 In the following exercises, graph each inequality on the number line and write in interval notation. 307. (a) g1112518 (b) 7s28 (c) 94g36 In the following exercises, graph each inequality on the number line and write in interval notation. 308. (a) 5u65 (b) a39 In the following exercises, graph each inequality on the number line and write in interval notation. 309. (a) 8v96 (b) b1030 In the following exercises, graph each inequality on the number line and write in interval notation. 310. (a) 9c126 (b) 25p5 In the following exercises, graph each inequality on the number line and write in interval notation. 311. (a) 7d105 (b) 18q6 In the following exercises, graph each inequality on the number line and write in interval notation. 312. 4v9v40 In the following exercises, graph each inequality on the number line and write in interval notation. 313. 5u8u21 In the following exercises, graph each inequality on the number line and write in interval notation. 314. 13q7q29 In the following exercises, graph each inequality on the number line and write in interval notation. 315. 9p14p18 In the following exercises, graph each inequality on the number line and write in interval notation. 316. 12x+3(x+7)10x24 In the following exercises, graph each inequality on the number line and write in interval notation. 317. 9y+5(y+3)4y35 In the following exercises, graph each inequality on the number line and write in interval notation. 318. 6h4(h1)7h11 In the following exercises, graph each inequality on the number line and write in interval notation. 319. 4k(k2)7k26 In the following exercises, graph each inequality on the number line and write in interval notation. 320. 8m2(14m)7(m4)+3m In the following exercises, graph each inequality on the number line and write in interval notation. 321. 6n12(3n)9(n4)+9n In the following exercises, graph each inequality on the number line and write in interval notation. 322. 34b13b512b12 In the following exercises, graph each inequality on the number line and write in interval notation. 323. 9u+5(2u5)12(u1)+7u In the following exercises, graph each inequality on the number line and write in interval notation. 324. 23g12(g14)16(g+42)In the following exercises, graph each inequality on the number line and write in interval notation. 325. 45h23(h9)115(2h+90)In the following exercises, graph each inequality on the number line and write in interval notation. 326. 56a14a712a+23 In the following exercises, graph each inequality on the number line and write in interval notation. 327. 12v+3(4v1)19(v2)+5v In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 328. 15k40 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 329. 35k77 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 330. 23p2(65p)3(11p4)In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 331. 18q4(103q)5(6q8)In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 332. 94x512 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 333. 218y1528 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 334. c+3499 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 335. d+2961 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 336. m184 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 337. n136 In the following exercises, translate and solve. Then graph the solution on the number line and write the solution in interval notation. 338. Three more than h is no less than 25.In the following exercises, translate and solve. Then graph the solution on the number line and write the solution in interval notation. 339. Six more than k exceeds 25.In the following exercises, translate and solve. Then graph the solution on the number line and write the solution in interval notation. 340. Ten less than w is at least 39.In the following exercises, translate and solve. Then graph the solution on the number line and write the solution in interval notation. 341. Twelve less than x is no less than 21.In the following exercises, translate and solve. Then graph the solution on the number line and write the solution in interval notation. 342. Negative five times r is no more than 95.In the following exercises, translate and solve. Then graph the solution on the number line and write the solution in interval notation. 343. Negative two times s is lower than 56.In the following exercises, translate and solve. Then graph the solution on the number line and write the solution in interval notation. 344. Nineteen less than b is at most 22 .In the following exercises, translate and solve. Then graph the solution on the number line and write the solution in interval notation. 345. Fifteen less than a is at least 7 .In the following exercises, solve. 346. Alan is loading a pallet with boxes that each weighs 45 pounds. The pallet can safely support no more than 900 pounds. How many boxes can he safely load onto the pallet?In the following exercises, solve. 347. The elevator in Yehire’s apartment building has a sign that says the maximum weight is 2100 pounds. If the average weight of one person is 150 pounds, how many people can safely ride the elevator?In the following exercises, solve. 348. Andre is looking at apartments with three of his friends. They want the monthly rent to be no more than $2,360. If the roommates split the rent evenly among the four of them, what is the maximum rent each will pay?In the following exercises, solve. 349. Arleen got a $20 gift card for the coffee shop. Her favorite iced drink costs $3.79. What is the maximum number of drinks she can buy with the gift card?In the following exercises, solve. 350. Teegan likes to play golf. He has budgeted $60 next month for the driving range. It costs him $10.55 for a bucket of balls each time he goes. What is the maximum number of times he can go to the driving range next month?In the following exercises, solve. 351. Ryan charges his neighbors $17.50 to wash their car. How many cars must he wash next summer if his goal is to earn at least $1,500?In the following exercises, solve. 352. Keshad gets paid $2,400 per month plus 6% of his sales. His brother earns $3,300 per month. For what amount of total sales will Keshad’s monthly pay be higher than his brother’s monthly pay?In the following exercises, solve. 353. Kimuyen needs to earn $4,150 per month in order to pay all her expenses. Her job pays her $3,475 per month plus 4% of her total sales. What is the minimum Kimuyen’s total sales must be in order for her to pay all her expenses?In the following exercises, solve. 354. Andre has been offered an entry-level job. The company offered him $48,000 per year plus 3.5% of his total sales. Andre knows that the average pay for this job is $62,000. What would Andre’s total sales need to be for his pay to be at least as high as the average pay for this job?In the following exercises, solve. 355. Nataly is considering two job offers. The first job would pay her $83,000 per year. The second would pay her $66,500 plus 15% of her total sales. What would her total sales need to be for her salary on the second offer be higher than the first?In the following exercises, solve. 356. Jake’s water bill is $24.80 per month plus $2.20 per ccf (hundred cubic feet) of water. What is the maximum number of ccf Jake can use if he wants his bill to be no more than $60?In the following exercises, solve. 357. Kiyoshi’s phone plan costs $17.50 per month plus $0.15 per text message. What is the maximum number of text messages Kiyoshi can use so the phone bill is no more than $56.60?In the following exercises, solve. 358. Marlon’s TV plan costs $49.99 per month plus $5.49 per first-run movie. How many first-run movies can he watch if he wants to keep his monthly bill to be a maximum of $100?In the following exercises, solve. 359. Kellen wants to rent a banquet room in a restaurant for her cousin’s baby shower. The restaurant charges $350 for the banquet room plus $32.50 per person for lunch. How many people can Kellen have at the shower if she wants the maximum cost to be $1,500?In the following exercises, solve. 360. Moshde runs a hairstyling business from her house. She charges $45 for a haircut and style. Her monthly expenses are $960. She wants to be able to put at least $1,200 per month into her savings account order to open her own salon. How many “cut & styles” must she do to save at least $1,200 per month?In the following exercises, solve. 361. Noe installs and configures software on home computers. He charges $125 per job. His monthly expenses are $1,600. How many jobs must he work in order to make a profit of at least $2,400?In the following exercises, solve. 362. Katherine is a personal chef. She charges $115 per four-person meal. Her monthly expenses are $3,150. How many four-person meals must she sell in order to make a profit of at least $1,900?In the following exercises, solve. 363. Melissa makes necklaces and sells them online. She charges $88 per necklace. Her monthly expenses are $3,745. How many necklaces must she sell if she wants to make a profit of at least $1,650?In the following exercises, solve. 364. Five student government officers want to go to the state convention. It will cost them $110 for registration, $375 for transportation and food, and $42 per person for the hotel. There is $450 budgeted for the convention in the student government savings account. They can earn the rest of the money they need by having a car wash. If they charge $5 per car, how many cars must they wash in order to have enough money to pay for the trip?In the following exercises, solve. 365. Cesar is planning a four-day trip to visit his friend at a college in another state. It will cost him $198 for airfare, $56 for local transportation, and $45 per day for food. He has $189 in savings and can earn $35 for each lawn he mows. How many lawns must he mow to have enough money to pay for the trip?In the following exercises, solve. 366. Alonzo works as a car detailer. He charges $175 per car. He is planning to move out of his parents’ house and rent his first apartment. He will need to pay $120 for application fees, $950 for security deposit, and first and last months’ rent at $1,140 per month. He has $1,810 in savings. How many cars must he detail tohave enough money to rent the apartment?In the following exercises, solve. 367. Eun-Kyung works as a tutor and earns $60 per hour. She has $792 in savings. She is planning an anniversary party for her parents. She would like to invite 40 guests. The party will cost her $1,520 for food and drinks and $150 for the photographer. She will also have a favor for each of the guests, and each favor will cost $7.50. How many hours must she tutor to have enough money for the party?Maximum load on a stage In 2014, a high school stage collapsed in Fullerton, California, when 250 students got on stage for the finale of a musical production. Two dozen students were injured. The stage could support a maximum of 12,750 pounds. If the average weight of a student is assumed to be 140 pounds, what is the maximum number of students who could safely be on the stage?Maximum weight on a boat In 2004, a water taxi sank in Baltimore harbor and five people drowned. The water taxi had a maximum capacity of 3,500 pounds (25 people with average weight 140 pounds). The average weight of the 25 people on the water taxi when it sank was 168 pounds per person. What should the maximum number of people of this weight have been?Wedding budget Adele and Walter found the perfect venue for their wedding reception. The cost is $9850 for up to 100 guests, plus $38 for each additional guest. How many guests can attend if Adele and Walter want the total cost to be no more than $12,500?Shower budget Penny is planning a baby shower for her daughter-in-law. The restaurant charges $950 for up to 25 guests, plus $31.95 for each additional guest. How many guests can attend if Penny wants the total cost to be no more than $1,500?Explain why it is necessary to reverse the inequality when solving 5x10 .Explain why it is necessary to reverse the inequality when solving n312 .Solve the compound inequality. Graph the solution and write the solution in interval notation: 4x79 and 5x+83 .Solve the compound inequality. Graph the solution and write the solution in interval notation: 3x45 and 4x+91 .Solve the compound inequality. Graph the solution and write the solution in interval notation: 2(3x+1)20 and 4(x1)2 .Solve the compound inequality. Graph the solution and write the solution in interval notation: 5(3x1)10 and 4(x+3)8 .Solve the compound inequality. Graph the solution and write the solution in interval notation: 14x31 and 3(x2)2 .Solve the compound inequality. Graph the solution and write the solution in interval notation: 15x53 and 4(x1)2 .Solve the compound inequality. Graph the solution and write the solution in interval notation: 54x17 .Solve the compound inequality. Graph the solution and write the solution in interval notation: 32x51 .Solve the compound inequality. Graph the solution and write the solution in interval notation: 12x3 or 7+3x4 .Solve the compound inequality. Graph the solution and write the solution in interval notation: 25x3 or 5+2x3 .Solve the compound inequality. Graph the solution and write the solution in interval notation: 3 5 x71 or 1 3 ( x+6 )2.Solve the compound inequality. Graph the solution and write the solution in interval notation: 34x33 or 25(x+10)0 .Due to the drought in California, many communities now have tiered water rates. There are different rates for Conservation Usage, Normal Usage and Excessive Usage. The usage is measured in the number of hundred cubic feet (hcf) the property owner uses. During the summer, a property owner will pay $24.72 plus $1.32 per hcf for Conservation Usage. The bill for Conservation Usage would be between or equal to $31.32 and $52.12. How many hcf can the owner use if she wants her usage to stay in the conservation range?Due to the drought in California, many communities have tiered water rates. There are different rates for Conservation Usage, Normal Usage and Excessive Usage. The usage is measured in the number of hundred cubic feet (hcf) the property owner uses. During the winter, a property owner will pay $24.72 plus $1.54 per hcf for Normal Usage. The bill for Normal Usage would be between or equal to $49.36 and $86.32. How many hcf will he be allowed to use if he wants his usage to stay in the normal range?In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 376. x3 and x1 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 377 x4 and x2 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 378.x4 and x1 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 379. x6 and x3 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 380. 5x28 and 6x+93 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 381. 4x17 and 2x+84 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 382. 4x+62 and 2x+15 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 383. 4x24 and 7x18 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 384. 2x115 and 3x85 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 385. 7x86 and 5x+73 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 386. 4(2x1)12 and 2(x+1)4 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 387. 5(3x2)5 and 3(x+3)3 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 388. 3(2x3)3 and 4(x+5)4 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 389. 3(x+4)0 and 1(3x1)7 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 390. 12(3x4)1 and 13(x+1)4 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 391. 34(x8)3 and 15(x5)3 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 392. 5x23x+4 and 3x42x+1 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 393. 34x52 and 3(x+1)6 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 394. 23x64 and 4(x+2)0 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 395. 12(x6)+25 and 423x6 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 396. 54x17 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 397. 32x51 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 398. 54x+19 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 399. 13x+28 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 400. 85x+23 In the following exercises, solve each inequality, graph the solution, and write the solution in interval notation. 401. 64x22 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 402. x2 or x3 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 403. x4 or x3 In the following exercises, solve each inequality, graph the solution on the number line,and write the solution in interval notation. 404. x2 or x5 In the following exercises, solve each inequality, graph the solution on the number line,and write the solution in interval notation. 405. x0 or x4 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 406. 2+3x4 or 52x1 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 407. 43x2 or 2x15 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 408. 2(3x1)4 or 3x51 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 409. 3(2x3)5 or 4x13 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 410. 34x24 or 4(2x)0 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 411. 23x35 or 3(5x)6 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 412. 3x24 or 5x37 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 413. 2(x+3)0 or 3(x+4)6 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 414. 12x34 or 13(x6)2 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 415. 34x+21 or 12(x+8)3 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 416. 3x+71 and 2x+35 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 417. 6(2x1)6 and 5(x+2)0 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 418.47x3 and 5(x3)+83 In the following exercises, solve each inequality, graph the solution on the number line,and write the solution in interval notation. 419. 12x53 and 14(x8)3 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 420. 52x17 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 421. 15(x5)+64 and 323x5 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 422. 4x26 and 3x12 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 423. 6x31 and 5x16 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 424. 2(3x4)2 and 4(x1)2 In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 425. 53x24 In the following exercises, solve. 426. Penelope is playing a number game with her sister June. Penelope is thinking of a number and wants June to guess it. Five more than three times her number is between 2and 32. Write a compound inequality that shows the range of numbers that Penelope might be thinking of.In the following exercises, solve. 427. Gregory is thinking of a number and he wants his sister Lauren to guess the number. His first clue is that six less than twice his number is between four and forty-two. Write a compound inequality that shows the range of numbers that Gregory might be thinking of.In the following exercises, solve. 428.Andrew is creating a rectangular dog run in his back yard. The length of the dog run is 18 feet. The perimeter of the dog run must be at least 42 feet and no more than 72 feet. Use a compound inequality to find the range of values for the width of the dog run.In the following exercises, solve. 429. Elouise is creating a rectangular garden in her back yard. The length of the garden is 12 feet. The perimeter of the garden must be at least 36 feet and no more than 48 feet. Use a compound inequality to find the range of values for the width of the garden.Blood Pressure A person’s blood pressure is measured with two numbers. The systolic blood pressure measures the pressure of the blood on the arteries as the heart beats. The diastolic blood pressure measures the pressure while the heart is resting. (a) Let x be your systolic blood pressure. Researchand then write the compound inequality that shows you what a normal systolic blood pressure should be for someone your age. (b) Let y be your diastolic blood pressure. Researchand then write the compound inequality that shows you what a normal diastolic blood pressure should be for someone your age.]Body Mass Index (BMI) is a measure of body fat is determined using your heightand weight. (a) Let x be your BMI. Researchand then write the compound inequality to show the BMI range for you to be considered normal weight. (b) Research a BMI calculatorand determine your BMI. Is it a solution to the inequality in part (a)?In your own words, explain the difference between the properties of equality and the properties of inequality.Explain the steps for solving the compound inequality 27x5 or 4(x3)+73 .Solve: (a) |x|=2 (b) |y|=4 (c) |z|=0 Solve: (a) |x|=11 (b) |y|=5 (c) |z|=0 Solve |3x5|1=6 .Solve |4x3|5=2 .Solve 3|x4|4=8 .Solve 2|x5|+3=9 .Solve |34x5|+9=4 .Solve |56x+3|+8=6 .Solve |7x3|=|3x+7| .Solve |6x5|=|3x+4| .Graph the solution and write the solution in interval notation: |x|9 .Graph the solution and write the solution in interval notation: |x|1 .Solve |2x1|5 . Graph the solution and write the solution in interval notation:Solve |4x5|3 . Graph the solution and write the solution in interval notation:Solve |x|2 . Graph the solution and write the solution in interval notation.Solve |x|1 . Graph the solution and write the solution in interval notation.Solve |4x3|5 . Graph the solution and write the solution in interval notation.Solve |3x4|2 . Graph the solution and write the solution in interval notation.The ideal diameter of a rod needed for a machine is 80 mm. The actual diameter can vary from the ideal diameter by 0.009 mm. What range of diameters will be acceptable to the customer without causing the rod to be rejected?The ideal diameter of a rod needed for a machine is 75 mm. The actual diameter can vary from the ideal diameterby 0.05 mm. What range of diameters will be acceptable to the customer without causing the rod to be rejected?In the following exercises, solve. 434. (a) |x|=6 (b) |y|=3 (c)|z|=0 In the following exercises, solve. 435. (a) |x|=4 (b) |y|=5 (c)|z|=0 In the following exercises, solve. 436. (a)|x|=7 (b) |y|=11 (c) |z|=0 In the following exercises, solve. 437. (a) |x|=3 (b) |y|=1 (c)|z|=0 In the following exercises, solve. 438. |2x3|4=1 In the following exercises, solve. 439. |4x1|3=0 In the following exercises, solve. 440. |3x4|+5=7 In the following exercises, solve. 441. |4x+7|+2=5

Page: [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]