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All Textbook Solutions for PREALGEBRA

In the following exercises, solve the equation. a0.4=20In the following exercises, solve the equation. b0.3=9In the following exercises, solve the equation. x0.7=0.4In the following exercises, solve the equation. y0.8=0.7In the following exercises, solve the equation. p5=1.65In the following exercises, solve the equation. q4=5.92In the following exercises, solve the equation. r1.2=6In the following exercises, solve the equation. s1.5=3In the following exercises , solve the equation. Then check your solution. 325. x5=11In the following exercises , solve the equation. Then check your solution. 326. 25=x+34In the following exercises , solve the equation. Then check your solution. p+8=2In the following exercises , solve the equation. Then check your solution. p+23=112In the following exercises , solve the equation. Then check your solution. 329. 4.2m=33.6In the following exercises, solve the equation. Then check your solution. 330. q+9.5=14In the following exercises, solve the equation. Then check your solution. q+56=112In the following exercises, solve the equation. Then check your solution. 8.615=dIn the following exercises, solve the equation. Then check your solution. 78m=110In the following exercises, solve the equation. Then check your solution. j6.2=3In the following exercises, solve the equation. Then check your solution. q+56=112In the following exercises, solve the equation. Then check your solution. 336. s1.75=3.2In the following exercises, solve the equation. Then check your solution. 1120=fIn the following exercises, solve the equation. Then check your solution. 3.6b=2.52In the following exercises, solve the equation. Then check your solution. 339. 4.2a=3.36In the following exercises, solve the equation. Then check your solution. 9.1n=63.7In the following exercises, solve the equation. Then check your solution. r1.25=2.7In the following exercises, solve the equation. Then check your solution. 14n=710In the following exercises, solve the equation. Then check your solution. h3=8In the following exercises, solve the equation. Then check your solution. y7.82=16In the following exercises, translate and solve. The difference of n amd 1.96 os 3.4.In the following exercises, translate and solve. The difference of n amd 1.5 os 0.8.In the following exercises, translate and solve. The product of -6.2 and x is -4.96.In the following exercises, translate and solve. The product of -4.6 and x is -3.22.In the following exercises, translate and solve. The quotient of y and -1.7 is -5.In the following exercises, translate and solve. The quotient of z and -.3.6 is 3.In the following exercises, translate and solve. The sum of n and -7.3 is 2.4.In the following exercises, translate and solve. The sum of n and -5.1 is 3.8.Shawn bought a pair of shoes on sale for $78 . Solve the equation 0.75/5 = 78 to find the original price of the shoes, p.Mary bought a new refrigerator. The total price including sales tax was $1,350. Find the retail price r, of the refrigerator before tax by solving the equation 1.08r = 1,350.Think abaout solving the equation 1.2y = 60, but do not actually solve it. Do you think the solution should be greater than 60 or less than 60 ? Explain your reasoning. Then solve the equation to see if your thinking was correct.Think about solving the equation 0.8x = 200, but do not actually solve it. Do you think the solution should be greater than 2(X) or less than 200? Explain your reasoning. Then solve the equation to see if your thinking was correct.TRY IT: 5.97 Find the mean of the numbers: 8, 9, 7, 12, 10, 5.TRY IT: 5.98 Find the mean of the numbers: 9, 13, 11, 7, 5.TRY IT: 5.99 The ages of the four students in Ben's carpool are 25, 18, 21, and 22. Find the mean age of the students.TRY IT : 5.100 Yen counted the number of emails she received last week. The numbers were 4, 9, 15, 12, 10, 12, and 8. Find the mean number of emails.TRY IT : 5.101 Last week Ray recorded how much he spent for lunch each workday. He spent $6.50, $7.25, $4.90, $5.30, and $12.00. Find the mean of how much he spent each day.TRY IT : 5.102 Lisa has kept the receipts from the past four trips to the gas station. The receipts show the following amounts: $34.87, $42.31, $38.04, and $43.26. Find the means.TRY IT : 5.103 Find the median of the data set: 43, 38, 51, 40, 46.TRY IT : 5.104 Find the median of the data set: 15, 35, 20, 45, 50, 25, 30.TRY IT : 5.105 Find the median of the data set: 8, 7, 5, 10, 9, 12.TRY IT: 5.106 Find the median of the data set: 21, 25, 19, 17, 22, 18, 20, 24.TRY IT: 5.107 The number of sick days employees used last year: 3, 6, 2, 3, 7, 5, 6, 2, 4, 2. Identify the mode.TRY IT: 5.108 The number of handbags owned by women in a book club: 5, 6, 3, 1, 5, 8, 1, 5, 8, 5. Identify the mode.TRY IT: 5.109 The ages of the students in a statistics class are listed here: 19, 20, 23, 23, 38, 21, 19, 21, 19, 21, 20, 43, 20, 23, 17, 21, 21, 20, 29, 18, 28. What is the mode?TRY IT: 5.110 Students listed the number of members in their household as follows: 6, 2, 5, 6, 3, 7, 5, 6, 5, 3, 4, 4, 5, 7, 6, 4, 5, 2, 2, 1, 5. What is the mode?TRY IT: 5.111 Ignaly is attending a fashion show where the guests are seated at tables of ten. One guest from each table will be selected at random to receive a door prize. (a) Find the probability Ignaly will win the door prize for her table. (b) Convert the fraction to a decimal.TRY IT: 5.112 Hoang is among 20 people available to sit on a jury. One person will be chosen at random from the 20. (a) Find the probability Hoang will be chosen. (b) Convert the fraction to a decimal.TRY IT: 513 A bowl of Halloween candy contains 5 chocolate candies and 3 lemon candies. Tanya will choose one piece of candy at random. (a) Find the probability Tanya will choose a chocolate candy. (b ) Convert the fraction to a decimal.TRY IT: 5114 Dan has 2 pairs of black socks and 6 pairs of blue socks. He will choose one pair at random to wear tomorrow. (a) Find the probability Dan will choose a pair of black socks (b) Convert the fraction to a decimal.In the following exercises, find the mean. 3,8,2,2,5In the following exercises, find the mean. 6, 1, 9, 3, 4, 7In the following exercises, find the mean. 65, 13, 48, 32, 19, 33In the following exercises, find the mean. 34, 45, 29, 61, and 41In the following exercises, find the mean. 202, 241, 265, 274In the following exercises, find the mean. 525, 532, 558, 574In the following exercises, find the mean. 12.45, 12.99, 10.50, 11. 25 9.99, 12.72In the following exercises, find the mean. 28.8, 32.9, 32.5, 27.9, 30.4, 32.5, 31.6, 32.7In the following exercises, find the mean. Four girls leaving a mall were asked how much money they had just spent. The amounts were $0, $14.95, $35.25, and $25.16. Find the mean amount of money spent. *In the following exercises, find the mean. Juan bought 5 shirts to wear to his new job. The costs of the shirts were $32.95, $38.50, $30.00, $17.45 r and $24.25. Find the mean cost.In the following exercises, find the mean. The number of minutes it took Jim to ride his bike to school for each of the past six days was, 21, 18, 16, 19, 24, and 19. Find the mean number of minutes.In the following exercises, find the mean. Norris bought six books for his classes this semester. The costs of the books were $74.28, $120.95, $52.40, 10.59, $35.89, and $59.24. Find the mean cost.In the following exercises, find the mean. The top eight hitters in a softball league have batting averages of .373 .360, .321, .311, .320, .312, .311, .311, Find the mean of the batting averages. Round your answer to the nearest thousandth.In the following exercises, find the mean. The monthly snowfall at a ski resort over a six-month period 60.3, 79.7, 50.9,28.0, 47.4, and 46.1 inches. Find the mean snowfall.In the following exercises, find the median. 24, 19, 18, 29, 21In the following exercises, find the median. 48, 51, 46, 42, 50In the following exercises, find the median. 65, 56, 35, 34, 44, 39, 55, 52,45In the following exercises, find the median. 121 , 115, 135, 109, 136, 147, 127, 119, 110In the following exercises, find the median. 4, 8, 1, 5, 14, 3, 1, 12In the following exercises, find the median. 3, 9, 2, 6, 20, 3, 3, 10In the following exercises, find the median. 99.2, 10.9, 98.6, 99.5, 100.8 99.8In the following exercises, find the median. 28.8, 32.9, 32.5, 27.9, 30.4, 32.5, 31.6, 32.7In the following exercises, find the median. Last week Ray recorded how much he spent for lunch each workday. He spent $6.50 , $7.25 , $4.90, $5.30, and $12.00. Find the median.In the following exercises, find the median. Michaela is in charge of 6 two-year olds at a daycare center. Their ages, in months, are 25, 24, 28, 32, 29, and 31. Find the median age.In the following exercises, find the median. Brian is teaching a swim class for 6 three-year olds. Their ages, 38, 41, 45, 36, 40, and 42. Find the median age.In the following exercises, find the median. Sal recorded the amount he spent for gas each week for the past 8 weeks. The amounts were $38.65, $32.18, $40.23, $51.50, $43.68, $30.96, $41.37, and $44.72. Find the median amount.In the following exercises, identify the mode. 2, 5, 1, 5, 2, 1, 2, 3, 2, 3, 1In the following exercises, identify the mode. 8, 5, 1, 3, 7, 1, 1, 7, 1, 8, 7In the following exercises, identify the mode. 18, 22, 17, 20, 19, 20, 22, 19, 29, 18, 23, 25, 22, 24, 23, 22, 18, 20, 22, 20In the following exercises, identify the mode. 42, 28, 32, 35, 24, 32, 48, 32, 32, 24, 35, 28, 30, 35, 45, 32, 28, 32, 42, 42, 30In the following exercises, identify the mode. The number of children per house on one block: 1 , 4, 2, 3, 3, 2, 6, 2, 4, 2, 0, 3, 0.In the following exercises, identify the mode. The number of movies watched each month last year: 2, 0, 3, 0, 0, 8, 6, 5, 0, 1, 2, 3.In the following exercises, identify the mode. The number of units being taken by students in one class: 12, 5, 11, 10, 10, 11, 5, 11, 11, 11, 10, 12.In the following exercises, identify the mode. The number of hours of sleep per night for the past two weeks: 8, 5, 7, 8, 8, 6, 6, 6, 6, 8, 7, 8, 8, 8.In the following exercises, express the probability as both a fraction and a decimal. (Round to three decimal places, if necessary.) Josue is in a book club with 20 members. One member is chosen at random each month to select the next month's book. Find the probability that Josue will be chosen next month.In the following exercises, express the probability as both a fraction and a decimal. (Round to three decimal places, if necessary.) Jessica is one of eight kindergarten teachers at Mandela Elementary School. One of the kindergarten teachers will be selected at random to attend a summer workshop. Find the probability that Jessica will be selected.In the following exercises, express the probability as both a fraction and a decimal. (Round to three decimal places, if necessary.) There are 24 people whowork in Dane's department. Next week, one person will be selected at random to bring in doughnuts. Find the probability that Dane will be selected. Round your answer to the mearest thousandth.In the following exercises, express the probability as both a fraction and a decimal. (Round to three decimal places, if necessary.) Monica has two strawberry yogurts and six banana yogurts in her refrigerator. She will choose one yogurt at random to take to work. Find the probability Monica will choose a strawberry yogurt.In the following exercises, express the probability as both a fraction and a decimal. (Round to three decimal places, if necessary.) Michel has four rock CDs and six country CDs in his car. He will pick one CD to play on his way to work. Find the probability Michel will pick a rock CD.In the following exercises, express the probability as both a fraction and a decimal. (Round to three decimal places, if necessary.) Noah is planning his summer camping trip. He can't decide among six campgrounds at the beach and twelve campgrounds in the mountains, so he will choose one campground at random. Find the probability that Noah will choose a campground at the beach.In the following exercises, express the probability as both a fraction and a decimal. (Round to three decimal places, if necessary.) Donovan is considering transferring to a 4-y ear college. He is considering 10 out-of state colleges and 4 colleges in his state. He will choose one college at random to visit during spring break. Find the probability that Donovan will choose an out-of- state college.In the following exercises, express the probability as both a fraction and a decimal. (Round to three decimal places, if necessary.) There are 258,890,850 number combinations possible in chosen at random. Brent chooses his favorite number combination probability Brent will win the jackpot. Round the decimal to the write the name of the decimal.Joaquin gets paid every Friday. FI is paychecks for the past 8 Fridays were $315, $236.25, $236.25, $236.25, $315, $315, $236.25, $393.75. Find the (a) mean, (b) median, and (c) mode.The cash register receipts each day last week at a coffee shop were $1,845. $1,520. $1,438, $1,682, $1,850, $2,721, $2,539. Find the (a) mean, (b) median, and (c) mode.Explain in your own words the difference between the mean, median, and mode of a set of numbers.Make an example of probability that relates to your life. Write your answer as a fraction and explain what the numerator and denominator represent.TRY IT : 5.115 Write each ratio as a fraction: (a) 21 to 56 (b) 48 to 32.TRY IT : 5.116 Write each ratio as a fraction: (a) 27 to 72 (b) 51 to 34.TRY IT : 5.117 Write each ratio as a fraction: (a) 4.6 to 11.5 (b) 2.3 to 0.69.TRY IT: 5.118 Write each ratio as a fraction: (a) 3.4 to 15.3 (b) 3.4 to 0.68.TRY IT : ; 5.119 Write each ratio as a fraction: 134to258.TRY IT : 5.120 Write each ratio as a fraction : 118to234.TRY IT : 5.121 Find the patient's ratio of total cholesterol to HDL cholesterol using the given information.Total cholesterol is 185 mg/dL and HDL cholesterol is 40 mg/dL.TRY IT : 5.122 Find the patient's ratio of total cholesterol to HDL cholesterol using the given information. Total cholesterol is 204 mg/dL and HDL cholesterol is 38 mg/dL.TRY IT: 5.123 Find the ratio of the first length to the second length: 32 inches to 1 foot.TRY IT: 5.124 Find the ratio of the first length to the second length: 1 foot to 54 inches.TRY IT : 5.125 Write the rate as a fraction: 492 miles in 8 hours.TRY IT : 5.126 Write the rate as a fraction: 242 miles in 6 hours.TRY IT : 5127 Find the unit rate: $630 for 35 hours.TRY IT : 5.128 Find the unit rate: $684 for 36 hours.TRY IT: 5129 Find the unit rate: 423 miles to 18 gallons of gas.TRY IT : 5.130 Find the unit rate: 406 miles to 14.5 gallons of gas.TRY IT : 5.131 Find the unit price. Round your answer to the nearest cent if necessary. 24-pack of juice boxes for $6.99TRY IT : 5.132 Find the unit price. Round your answer to the nearest cent if necessary. 24-pack of bottles of ice tea for $12.72TRY IT : 5133 Find each unit price and then determine the better buy. Round to the nearest cent if necessary. Brand A Storage Bags, $4.59 for 40 count, or Brand B Storage Bags, $3.99 for 30 countTRY IT : 5.134 Find each unit price and then determine the better buy. Round to the nearest cent if necessary. Brand C Chicken Noodle Soup, $1.89 for 26 ounces, or Brand D Chicken Noodle Soup, $0.95 for 10.75 ouncesTRY IT : : 5.135 Translate the word phrase into an algebraic expression. (a) 689 miles per h hours (b) y parents to 22 students (c) d dollars for 9 minutesTRY IT : 5.136 Translate the word phrase into an algebraic expression. (a) m miles per 9 hours (b) x students to 8 buses (c) y dollars for 40 hoursIn the following exercise s, write each ratio as a fraction. 20 to 36In the following exercise s, write each ratio as a fraction. 20 to 32In the following exercise s, write each ratio as a fraction. 42 to 48In the following exercise s, write each ratio as a fraction. 45 to 54In the following exercise s, write each ratio as a fraction. 49 to 21In the following exercise s, write each ratio as a fraction. 56 to 16In the following exercise s, write each ratio as a fraction. 84 to 36In the following exercise s, write each ratio as a fraction. 6.4 to 0.8In the following exercise s, write each ratio as a fraction. 0.56 to 2.8In the following exercise s, write each ratio as a fraction. 1.26 to 4.2In the following exercise s, write each ratio as a fraction. 123to286.In the following exercise s, write each ratio as a fraction. . 124to258.In the following exercise s, write each ratio as a fraction. 416to313In the following exercise s, write each ratio as a fraction. 535to335In the following exercise s, write each ratio as a fraction. $18 to $63In the following exercise s, write each ratio as a fraction. $16 to $72In the following exercise s, write each ratio as a fraction. $1.21 to $0.44In the following exercise s, write each ratio as a fraction. $1.38 to $0.69In the following exercise s, write each ratio as a fraction. 28 ounces to 84 ouncesIn the following exercise s, write each ratio as a fraction. 32 ounces to 128 ouncesIn the following exercise s, write each ratio as a fraction. 12 feet to 46 feetIn the following exercise s, write each ratio as a fraction. 15 feet to 57 feetIn the following exercise s, write each ratio as a fraction. 246 milligrams to 45 milligramsIn the following exercise s, write each ratio as a fraction. 304 milligrams to 48 milligramsIn the following exercise s, write each ratio as a fraction. total cholesterol of 175 to HDL cholesterol of 45In the following exercise s, write each ratio as a fraction. total cholesterol of 215 to HDL cholesterol of 55In the following exercise s, write each ratio as a fraction. 27 inches to 1 footIn the following exercise s, write each ratio as a fraction. 28 inches to 1 footIn the following exercises, write each rate as a fraction. 140 calories per 12 ouncesIn the following exercises, write each rate as a fraction. 180 calories per 16 ouncesIn the following exercises, write each rate as a fraction. 8.2 pounds per 3 square inchesIn the following exercises, write each rate as a fraction. 9.5 pounds per 4 square inchesIn the following exercises, write each rate as a fraction. 488 miles in 7 hoursIn the following exercises, write each rate as a fraction. 527 miles in 9 hoursIn the following exercises, write each rate as a fraction. $595 for 40 hoursIn the following exercises, write each rate as a fraction. $798 for 40 hoursIn the following exercises, find the unit rate. Round to two decimal places, if necessary. 140 calories per 12 ouncesIn the following exercises, find the unit rate. Round to two decimal places, if necessary. 180 calories per 16 ouncesIn the following exercises, find the unit rate. Round to two decimal places, if necessary. 8.2 pounds per 3 square inchesIn the following exercises, find the unit rate. Round to two decimal places, if necessary. 9.5 pounds per 4 square inchesIn the following exercises, find the unit rate. Round to two decimal places, if necessary . 488 miles in 7 hoursIn the following exercises, find the unit rate. Round to two decimal places, if necessary. 527 miles in 9 hoursIn the following exercises, find the unit rate. Round to two decimal places, if necessary. $595 for 40 hoursIn the following exercises, find the unit rate. Round to two decimal places, if necessary. $798 for 40 hoursIn the following exercises, find the unit rate. Round to two decimal places, if necessary. 576 miles on IS gallons of gasIn the following exercises, find the unit rate. Round to two decimal places, if necessary. 435 miles on 15 gallons of gasIn the following exercises, find the unit rate. Round to two decimal places, if necessary. 43 pounds in 16 weeksIn the following exercises, find the unit rate. Round to two decimal places, if necessary. 57 pounds in 24 weeksIn the following exercises, find the unit rate. Round to two decimal places, if necessary. 46 beats in 0.5 minuteIn the following exercises, find the unit rate. Round to two decimal places, if necessary. 54 beats in 0.5 minuteIn the following exercises, find the unit rate. Round to two decimal places, if necessary. The pressroom at a printing plant prints 540,000 sections in 12 hours. How many sections are assembled in one hour?In the following exercises, find the unit rate. Round to two decimal places, if necessary. The pressroom at a printing plant prints 540,000 sections in 12 hours. How many sections are printed per hour?In the following exercises, find the unit price. Round to the nearest cent. Soap bars at 8 for $8.69In the following exercises, find the unit price. Round to the nearest cent. Soap bars at 4 for S3.39In the following exercises, find the unit price. Round to the nearest cent. Women's sports socks at 6 pairs for $7.99In the following exercises, find the unit price. Round to the nearest cent. Women's sports socks at 6 pairs for $8.49In the following exercises, find the unit price. Round to the nearest cent. Snack packs of cookies at 12 for $5.79In the following exercises, find the unit price. Round to the nearest cent. Granola bars at 5 for S3.69In the following exercises, find the unit price. Round to the nearest cent. CD-RW discs at 25 for $14.99In the following exercises, find the unit price. Round to the nearest cent. CDs at 50 for $4.49In the following exercises, find the unit price. Round to the nearest cent . The grocery store has a special on macaroni and cheese. The price is $3.87 for 3 boxes. How much does each box cost?In the following exercises, find the unit price. Round to the nearest cent. The pet store has a special on cat food. The price is $4.32 for 12 cans. How much does each can cost?In the following exercises, find each unit price and then identify the better buy. Round to three decimal places. Mouthwash, 50.7-ounce size for $6.99 or 33.S-ounce size for $4.79In the following exercises, find each unit price and then identify the better buy. Round to three decimal places. Toothpaste, 6 ounce size for $3.19 or 7.8-ounce size for $5.19In the following exercises, find each unit price and then identify the better buy. Round to three decimal places. Breakfast cereal, 18 ounces for $3.29In the following exercises, find each unit price and then identify the better buy. Round to three decimal places. Breakfast Cereal, 10.7 ounces for $2.69 or 14.8 ounces for $3.69In the following exercises, find each unit price and then identify the better buy. Round to three decimal places. Ketchup, 40-ounce regular bottle for $2.99 or 64-ounce squeeze bottle for S4.39In the following exercises, find each unit price and then identify the better buy. Round to three decimal places. Mayonnaise 15-ounce 22-ounce squeeze bottle for $4.99In the following exercises, find each unit price and then identify the better buy. Round to three decimal places. Cheese $6,49 for 1 lb. block or $3.39 for 12 ib. blockIn the following exercises, find each unit price and then identify the better buy. Round to three decimal places. Candy $10.99 for a 1 Ib. bag or $2.89 for 14 Ib. of loose candyIn the following exercises, translate the English phrase into an algebraic expression. 793 miles per P hoursIn the following exercises, translate the English phrase into an algebraic expression. 78 feet per r secondsIn the following exercises, translate the English phrase into an algebraic expression. $3 for 0.5 lbs.In the following exercises, translate the English phrase into an algebraic expression. j beats in 0,5 minutesIn the following exercises, translate the English phrase into an algebraic expression. 105 calories in x ouncesIn the following exercises, translate the English phrase into an algebraic expression. 400 minutes for m dollarsIn the following exercises, translate the English phrase into an algebraic expression. the ratio of y and 5xIn the following exercises, translate the English phrase into an algebraic expression. the ratio of 12x and yOne elementary school in Ohio has 684 students and 45 teachers. Write the student-to-teacher ratio as a unit rate.The average American produces about 1,600 pounds of paper trash per year (365 days). How many pounds of paper trash does the average American produce each day? (Round to the nearest tenth of a pound.)A popular fast food burger weighs 7.5 ounces and contains 540 calories, 29 grams of fat, 43 grams of carbohydrates, and 25 grams of protein. Find the unit rate of (a) calories per ounce (b) grams of fat per ounce (c) grams of carbohydrates per ounce (d) grams of protein per ounce. Round to two decimal places.A 16-ounee chocolate mocha coffee with whipped cream contains 470 calories, 18 grams of fat, 63 grams of carbohydrates, and 15 grams of protein. Find the unit rate of (a) calories per ounce (b) grams of fat per ounce (c) grams of carbohydrates per ounce (d) grams of protein per ounce.Would you prefer the ratio of your income to your friend's income to be 3/1 or 1/3? Explain your reasoning.The parking lot at the airport charges $0.75 for every 15 minutes. (a) How much does it cost to park for 1 hour? (b) Explain how you got your answer to part (a). Was your reasoning based on the unit cost or did you use another method?Kathryn ate a 4-ounce cup of frozen yogurt and then went for a swim. The frozen yogurt had 115 calories. Swimming burns 422 calories per hour. For how many minutes should Kathryn swim to burn off the calories in the frozen yogurt? Explain your reasoning.Mollie had a 16-ounce cappuccino at her neighborhood coffee shop. The cappuccino had 110 calories. If Mollie walks for one hour, she burns 246 calories. For how many minutes must Mollie walk to burn off the calories in the cappuccino? Explain your reasoning.TRY IT: : 5.137 Simplify: (a) 36 (b) 169TRY IT: : 5.138 Simplify: (a) 16 (b) 196TRY IT: 5.139 Simplify: (a) 4 (b) 225TRY IT: : 5.140 Simplify: (a) 81 (b) 64TRY IT: 5.141 Simplify: (a) 196 (b) 81 .TRY IT: 5.142 Simplify: (a) 49 (b) 121 .TRY IT: 5.143 Simplify: (a) 9+16 (b) 9+16 .TRY IT: 5.144 Simplify: (a) 64+225s (b) 64+225 .TRY IT: 5.145 Estimate 38 between two consecutive whole numbers.TRY IT: 5.145 Estimate 84 between two consecutive whole numbers.TRY IT: 5.147 Estimate 11 to two decimal places.TRY IT: 5.148 Round 13 to two decimal places.TRY IT: 5.149 Simplify: y2TRY IT: 5.150 Simplify: m2 .TRY IT: 5.151 Simplify: 642.TRY IT: 5.152 Simplify: 169y2.TRY IT: 5.153 Simplify: 121y2.TRY IT: 5.154 Simplify: 100p2.TRY IT: 5.155 Simplify: 100a2b2.TRY IT: 5.156 Simplify: 225m2n2.TRY IT : 5.157 Katie wants to plant a square lawn in her front yard. She has enough sod to cover an area of 370 square feet. To the nearest tenth of a foot, how long can a side of her square lawn be?TRY IT : 5.158 Katie wants to plant a square lawn in her front yard. She has enough sod to cover an area of 2704 square feet. To the nearest tenth of a foot, how long can a side of her square lawn be?TRY IT : 5.159 A helicopter drops a rescue package from a height of 1296 feet. How many seconds does it take for the package to reach the round?TRY IT : 5.160 A window washer drops a squeegee from a platform 196 feet above the sidewalk. How many seconds does it take for the squeegee to reach the sidewalk?TRY IT : 5.161 An accident investigator measured the skid marks of a car and found their length was 76 feet. To the nearest tenth, what was the speed of the car before the brakes were applied?TRY IT: 5.162 The skid marks of a vehicle involved in an accident were 122 feet long. To the nearest tenth, how fast had the vehicle been going before the brakes were applied?In the following exercises, simplify. 36In the following exercises, simplify. 4In the following exercises, simplify. 64In the following exercises, simplify. 144In the following exercises, simplify. 4In the following exercises, simplify. 100In the following exercises, simplify. 1In the following exercises, simplify. 121In the following exercises, simplify. 121In the following exercises, simplify. 36In the following exercises, simplify. 9In the following exercises, simplify. 49In the following exercises, simplify. 9+16In the following exercises, simplify. 25+144In the following exercises, simplify. 9+16In the following exercises, simplify. 25+144In the following exercises, estimate each square root between two consecutive whole numbers. 70In the following exercises, estimate each square root between two consecutive whole numbers. 55In the following exercises, estimate each square root between two consecutive whole numbers. 200In the following exercises, use a calculator to approximate each square root and round to two decimal places. 172In the following exercises, use a calculator to approximate each square root and round to two decimal places. 19In the following exercises, use a calculator to approximate each square root and round to two decimal places. 21In the following exercises, use a calculator to approximate each square root and round to two decimal places. 53In the following exercises, use a calculator to approximate each square root and round to two decimal places. 47In the following exercises, simplify. (Assume all variables are greater than or equal to zero.) y2In the following exercises, simplify. (Assume all variables are greater than or equal to zero.) b2In the following exercises, simplify. (Assume all variables are greater than or equal to zero.) 49x2In the following exercises, simplify. (Assume all variables are greater than or equal to zero.) 100y2In the following exercises, simplify. (Assume all variables are greater than or equal to zero.) 64a2In the following exercises, simplify. (Assume all variables are greater than or equal to zero.) 25x2In the following exercises, simplify. (Assume all variables are greater than or equal to zero.) 144x2y2In the following exercises, simplify. (Assume all variables are greater than or equal to zero.) 196a2b2In the following exercises, solve. Round to one decimal place. Landscaping Reed wants to have a square garden plot in his backyard. He has enough compost to cover an area of 75 square feet. How long can a side of his garden be?In the following exercises, solve. Round to one decimal place. Landscaping Vince wants to make a square patio in his yard. He has enough concrete to pave an area of 130 square feet. How long can a side of his patio be?In the following exercises, solve. Round to one decimal place. Gravity An airplane dropped a flare from a height of 1,024 feet above a lake. How many seconds did it take for the flare to reach the water?In the following exercises, solve. Round to one decimal place. Gravity A hang glider dropped his cell phone from a height of 350 feet. How many seconds did it take for the cell phone to reach the ground?In the following exercises, solve. Round to one decimal place. Gravity A construction worker dropped a hammer while building the Grand Canyon skywalk, 4,0(X) feet above the Colorado River, How many seconds did it take for the hammer to reach the river?In the following exercises, solve. Round to one decimal place. Accident investigation The skid marks from a car involved in an accident measured 54 feet. What was the speed of the car before the brakes were applied?In the following exercises, solve. Round to one decimal place. Accident investigation The skid marks from a car involved in an accident measured 216 feet. What was the speed of the car before the brakes were applied?In the following exercises, solve. Round to one decimal place. Accident investigation An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks was 175 feet. What was the speed of the vehicle before the brakes were applied?In the following exercises, solve. Round to one decimal place. Accident investigation An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks was 117 feet. What was the speed of the vehicle before the brakes were applied?In the following exercises, solve. Round to one decimal place. Decorating Denise wants to install a square accent of designer tiles in her new shower. She can afford to buy 625 square centimeters of the designer tiles. How long can a side of the accent be?In the following exercises, solve. Round to one decimal place. Decorating Morris wants to have a square mosaic inlaid in his new patio. His budget allows for 2,025 tiles. Each tile is square with an area of one square inch. How long can a side of the mosaic be?What is there no real number equal to 64 ?What is the difference between 92and 9 ?In the following exercises, name each decimal. 0.8In the following exercises, name each decimal. 0.375In the following exercises, name each decimal. 0.007In the following exercises, name each decimal. 5.24In the following exercises, name each decimal. -12.5632In the following exercises, name each decimal. -4.09In the following exercises, name each decimal. three tenthsIn the following exercises, name each decimal. nine hundredthsIn the following exercises, name each decimal. twenty-seven hundredthsIn the following exercises, name each decimal. ten and thirty-five thousandthsIn the following exercises, name each decimal. negative twenty and three tenthsIn the following exercises, write as a decimal. negative five hundredthsIn the following exercises, convert each decimal to a fraction. Simplify the answer if possible. 0.43In the following exercises, convert each decimal to a fraction. Simplify the answer if possible. 0825In the following exercises, convert each decimal to a fraction. Simplify the answer if possible. 9.7In the following exercises, convert each decimal to a fraction. Simplify the answer if possible. 3.64Locate Decimals on the Number Line (a) 0.6 (b) -0.9 (c) 2.2 (d) -1.3