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Bartleby Sitemap - Textbook Solutions

All Textbook Solutions for PREALGEBRA

In the following exercises, solve. Round answers to the nearest hundredth. 292. Snack pack A snack pack of cookies is shaped like a cylinder with radius 4 cm and height 3 cm. Find its (a) volume and (b) surface area.In the following exercises, solve. Round answers to the nearest hundredth. 293. Barber shop pole A cylindrical barber shop pole has a diameter of 6 inches and height of 24 inches. Find its (a) volume and (b) surface area.In the following exercises, solve. Round answers to the nearest hundredth. 294. Architecture A cylindrical column has a diameter of S feet and a height of 28 feet Find its (a) volume and (b) surface area.Find the Volume of Cones In the following exercises, find the volume of the cone with the given dimensions. Round answers to the nearest hundredth. 295. height 9 feet and radius 2 feet Find the Volume of Cones In the following exercises, find the volume of the cone with the given dimensions. Round answers to the nearest hundredth. 296. height 8 inches and radius 6 inches Find the Volume of Cones In the following exercises, find the volume of the cone with the given dimensions. Round answers to the nearest hundredth. 297. height 12.4 centimeters and radius 5 cm Find the Volume of Cones In the following exercises, find the volume of the cone with the given dimensions. Round answers to the nearest hundredth. 298. height 15.2 meters and radius 4 meters In the following exercises, solve. Round answers to the nearest hundredth. 299. Teepee What is the volume of a cone-shaped teepee tent that is 10 feet tall and 10 feet across at the base?In the following exercises, solve. Round answers to the nearest hundredth. 300. Popcorn cup What is the volume of a cone-shaped popcorn cup that is 8 inches tall and 6 inches across at the base?In the following exercises, solve. Round answers to the nearest hundredth. 301.Silo What is the volume of a cone-shaped silo that is 50 Feet tall and 70 feet across at the base?In the following exercises, solve. Round answers to the nearest hundredth. 302. Sand pile What is the volume of a cone-shaped pile of sand that is 12 meters tall and 30 meters across at the base?Street light post The post of a street light is shaped like a truncated cone, as shown in the picture below. It is a large cone minus a smaller top cone. The large cone is 30 feet tall with base radius 1 foot. The smaller cone is 10 feet tall with base radius of 0.5 feet. To the nearest tenth, (a) find the volume of the large cone. (b) find the volume of the small cone. (c) find the volume of the post by subtracting the volume of the small cone from the volume of the large cone.Ice cream cones A regular ice cream cone is 4 inches tall and has a diameter of 2.5 inches, A waffle cone is 7 inches tall and has a diameter of 3.25 inches, To the nearest hundredth, (a) find the volume of the regular ice cream cone. (b) find the volume of the waffle cone. (c) how much more ice cream fits in the waffle cone compared to the regular cone?The formulas for the volume of a cylinder and a cone are similar. Explain how you can remember which formula goes with which shape.Which has a larger volume, a cube of sides of 8 feet or a sphere with a diameter of 8 feet? Explain your reasoning.TRY IT: : 9.113 Lindsay drove for512 hours at 60 miles per hour. How much distance did she travel?TRY IT: : 9.114 Trinh walked for213 hours at 3 miles per hour. How far did she walk?TRY IT: 915 Lee wants to drive from Phoenix to his brother’s apartment in San Francisco, a distance of 770 miles. If he drives at a steady rate of 70 miles per hour, how many hours will the trip take?TRYIT:: 9.116 Yesenia is 168 miles from Chicago. If she needs to be in Chicago in 3 hours, at what rate does she need to drive?TRY IT : : 9.117 Solve the formula d = rt for r: (a) when d = 180 and K = 4 (b) in general TRY IT : : 9.118 Solve the formula d = rt for r: (a) when d=780 and t = 12 (b) in general TRY IT :: 9.119 Use the formula A =12 bh solve for h: (a) when A = 170 and b= 17 (b) in general WTRY IT:: 9.120 Use the formula A =12 bh to solve for b: (a) when A = 62 and h = 31 (b) in general TRY IT: : 9.121 use the formula I = Prt. Find t : (a)when 1= $2,160, r= 6%, P= $12,000; (b) in general TRY IT: : 9.122 Use the formula I = Prt. Find r: (a) when I = $5400, P = $9000, t = 5 years (b) in general TRY IT: : 9.123 Solve the formula 3x + 4y = 10 for y : (a) when x = 2 (b) in general TRY IT:: 9.124Solve the formula 5x+2y 18 for y : (a) when x = 4 (b) in general TRY IT :: 9.125 Solve the formula P = a+b+c for b.TRY IT :: 9.126 Solve the formula P = a+b+c for c.TRY IT :: 9.127 Solve the formula 7x+y = 11 for y.TRY IT :: 9.128 Solve the formula 11x + y = 8 for y .TRY IT :: 9.129 Solve the formula 4x + 7y = 9 for y .TRY IT :: 9.130 Solve the formula 5x+8y= 1 for y .Use the Distance, Rate, and Time Formula In the following exercises, solve. 307. Steve drove for812 hours at 72 miles per hour. How much distance did he travel?Use the Distance, Rate and Time Formula In the following exercises, solve. 308. Socorro drove for 456 hours at 60 miles per hour. How much distance did she travel?Use the Distance, Rate, and Time Formula In the followingexercises, solve. 309. Socorro drove for134 hours at 4 miles per hour. How much distance did she travel?Use the Distance, Rate, and Time Formula In the followingexercises, solve. 310. Francie rode her bike for212 hours at 12 miles per hour. How far did she ride?Use the Distance, Rate, and Time Formula In the following exercises, solve. 311. Connor wants to drive from Tucson to the Grand Canyon, a distance of 338 miles. If he drives at a steady rate of 52 miles per hour, how many hours will the trip take?Use the Distance, Rate, and Time Formula In the following exercises, solve. 312. Megan is taking the bus from New York City to Montreal, The distance is 384 miles and the bus travels at a steady rate of 64 miles per hour. How long will the bus ride be?wUse the Distance, Rate, and Time Formula In the following exercises, solve. 313.Aurelia is driving from Miami to Orlando at a rate of 65 miles per hour. The distance is 235 miles. To the nearest tenth of an hour, how long will the trip take?Use the Distance, Rate, and Time Formula In the following exercises, solve. 314. Kareem wants to ride his bike from St Louis, Missouri to Champaign, Illinois. The distance is 180 miles. If he rides at a steady rate of 16 miles per hour, how many hours will the trip take?Use the Distance, Rate, and Time Formula In the followingexercises, solve. 315. Javier is driving to Bangor, Maine, which is 240 miles away From his current location. If he needs to be in Bangor in 4 hours, at what rate does he need to drive?Use the Distance, Rate, and Time Formula In the following exercises, solve. 316. Alejandra is driving to Cincinnati, Ohio, 450 miles away. If she wants to be there in 6 hours, at what rate does she need to drive?Use the Distance, Rate, and Time Formula In the following exercises, solve. 317. Aisha took the train from Spokane to Seattle. The distance is 280 miles, and the trip took 3.5 hours. What was the speed of the train?Use the Distance, Rate, and Time Formula In the following exercises, solve. 318. Philip got a ride with a friend From Denver to Las Vegas, a distance of 750 miles, If the trip took 10 hours, how fast was the Friend driving?Solve a Formula for aSpecific Variable Fn the following exercises, use the formula, d=rt. 319. Solve For t: (a) when d = 350 and r= 70 (b) in general Solve a Formula for a Specific Variable In the following exercises, use the formula. d=rt. Solve for t : (a) when d = 240 and r = 60 (b) in general Solve a formula for a Specific Variable In the following exercises, use the formula d = rt. 321. Solve for t: (a) when d = 510 and r 60 (b) in general Solve a formula for a Specific Variable In the following exercises, use the formula d = rt. 322. Solve for t: (a) when d = 175 and r = 50 (b) in general Solve a formula for a Specific Variable In the following exercises, use the formula d = rt. 323. Solve for r: (a) when d = 204 and t = 3 (b) in general Solve a formula for a Specific Variable In the following exercises, use the formula d = rt. Solve for r: (a) when d = 420 and t = 6 (b) in general Solve a formula for a Specific Variable In the following exercises, use the formula d = rt. Solve for r: (a) when d = 160 and t = 2.5 (b) in general wSolve a formula for a Specific Variable In the following exercises, use the formula d = rt. Solve for r: (a) when d = 180 and t = 4.5 (b) in general In the following exercises , use the formula A=12bh. 327. Solve for b: (a) when A = 126 and h= 18 (b) in general In the following exercises, use the formula A = 1/2bh. When A = 176 and b = 22 In general In the following exercises, use the formula A = 1/2bh. When A = 375 and b = 25 In general In the following exercises, use the formula A = 1/2bh. When A = 65 and b = 13 In general In the following exercises, use the formula 1 = Prt. Solve for the principal, P for: (a) I =$5,480, r =4%, t = 7 years (b) In general In the following exercises, use the formula 1 = Prt. Solve for the principal, P for: (a) I =$3,950, r =6%, t = 5 years (b) In general In the following exercises, use the formula 1 = Prt. Solve for the time, t for: (a) I =$2,376, P =$9.000, r = 4.4% (b) In general In the following exercises, use the formula 1 = Prt. Solve for the time, t for: (a) I =$624, P =$6.000, r = 5.2% (b) In general In the following exercises, solve. Solve the formula, 2x + 3y = 12 (a) when x = 3 (b) In general In the following exercises, solve. Solve the formula, 5x + 2y = 10 for y : (a) when x = 4 (b) In general In the following exercises, solve. Solve the formula, 3x + y = 7 for y : (a) when x = -2 (b) In general In the following exercises, solve. 338. Solve the formula 4x+y = 5 for y : (a) when x = -3 (b) in general In the following exercises, solve. 399.solvea+b=90 for b.In the following exercises, solve. 340.solvea+b=90fora.In the following exercises, solve. 341.solve180=a+b+cfora.In the following exercises, solve. 342.solve180=a+b+cforc.In the following exercises, solve. Solve the formula 8x+y=15fory.In the following exercises, solve. 344. Solve the formula 9x +y = 13 for y.In the following exercises, solve. 345. Solve the formula 4x+y=6fory.In the following exercises, solve. 346. Solve the formula 5x+y=1fory.In the following exercises, solve. Solve the formula 4x + 3y = 7 for y .In the following exercises, solve. Solve the formula 3x + 2y = 11 for y .In the following exercises, solve. Solve the formula x - y = -4 for y .In the following exercises, solve. Solve the formula x - y = -3 for y .In the following exercises, solve. Solve the formula P = 2L + 2W for L .In the following exercises, solve. Solve the formula P = 2L + 2W for W .In the following exercises, solve. Solve the formula C = pd for d.In the following exercises, solve. Solve the formula C = pd for p.In the following exercises, solve. Solve the formula V = LWH for L.In the following exercises, solve. Solve the formula V = LWH for H.Converting temperature While on a tour in Greece, Tatyana saw that the temperature was 40° Celsius. Solve for F in the formulaC=59(F32) to find the temperature in Fahrenheit.Converting temperature Yon was visiting the United States and he saw that the temperature in Seattle was 50° Fahrenheit. Solve for C in the formulaF=95C+32 to find the temperature in Celsius.Solve the equation 2x + 3y = 6 for y : (a) when x=- 3 (b) in general (c) Which solution is easier for you? Explain why.Solve the equation 5x - 2y = 10 for x : (a) when y = 10 (b) in general (c) Which solution is easier for you? Explain why.Approach Word Problems with a Positive Attitude In the following exercises, solve. How has your attitude towards solving word problems changed as a result of working through this chapter? Explain.Approach Word Problems with a Positive Attitude In the following exercises, solve. Did the Problem Solving Strategy help you solve word problems in this chapter? Explain.Use a Problem Solving Strategy for Word Problems In the following exercises, solve using the problem-solving strategy for word problems. Remember to write a complete sentence to answer each question 363. Three-fourths of the people at a concert are children. If there are 87 children, what is the total number of people at the concert?Use a Problem Solving Strategy for Word Problems In the following exercises, solve using the problem-solving strategy for word problems. Remember to write a complete sentence to answer each question 364. There are 9 saxophone players in the band. The number of saxophone players is one less than twice the number of tuba players. Find the number of tuba players.Use a Problem Solving Strategy for Word Problems In the following exercises, solve using the problem-solving strategy for word problems. Remember to write a complete sentence to answer each question 365. Reza was very sick and lost 15% of his original weight. He lost 27 pounds. What was his original weight?Use a Problem Solving Strategy for Word Problems In the following exercises, solve using the problem-solving strategy for word problems. Remember to write a complete sentence to answer each question 366. Dolores bought a crib on sale for $350. The sale price was 40% of the original price. What was the original price of the crib?Solve Number Problems In the following exercises, solve each number word problem. The sum of number and three is forty-one. Find the number.Solve Number Problems In the following exercises, solve each number word problem. Twice the difference of a number and ten is fifty-four. Find the number.Solve Number Problems In the following exercises, solve each number word problem. One number is nine less than another. Their sum is twenty-seven. Find the numbers.Solve Number Problems In the following exercises, solve each number word problem. The sum of two consecutive integers is — 135. Find the numbers.Solve Coin Word Problems In the following exercises, solve each coin word problem. Francie has $4.35 in dimes and quarters. The number of dimes is 5 more than the number of quarters. How many of each coin does she have?Solve Coin Word Problems In the following exercises, solve each coin word problem. Scott has $0.39 in pennies and nickels. The number of pennies is 8 times the number of nickels. How many of each coin does he have?Solve Coin Word Problems In the following exercises, solve each coin word problem. Paulette has $140 in $5 and $10 bills. The number of $10 bills is one less than twice the number of $5 bills. How many of each does she have?Solve Coin Word Problems In the following exercises, solve each coin word problem. Lenny has $3.69 in pennies, dimes, and quarters. The number of pennies is 3 more than the number of dimes. The number of quarters is twice the number of dimes. How many of each coin does he have?Solve Ticket and Stamp Word Problems In the following exercises, solve each ticket or stamp word problem. A church luncheon made $842. Adult tickets cost $10 each and children’s tickets cost $6 each. The number of children was 12 more than twice the number of adults. How many of each ticket were sold?Solve Ticket and Stamp Word Problems In the following exercises, solve each ticket or stamp word problem. Tickets for a basketball game cost $2 for students and $5 for adults. The number of students was 3 less than 10 times the number of adults. The total amount of money from ticket sales was $619. How many of each ticket were sold?Solve Ticket and Stamp Word Problems In the following exercises, solve each ticket or stamp word problem. Ana spent $4.06 buying stamps. The number of $0.41 stamps she bought was 5 more than the number of $0.26 stamps. How many of each did she buy?Solve Ticket and Stamp Word Problems In the following exercises, solve each ticket or stamp word problem. Yumi spent $34.15 buying stamps. The number of $0.56 stamps she bought was to less than 4 times the number of $0.41 stamps. How many of each did she buy?Use Properties of Angles In the following exercises, solve using properties of angles. What is the supplement of a 48° angle?Use Properties of Angles In the following exercises, solve using properties of angles. What is the complement of a 61° angle?Use Properties of Angles In the following exercises, solve using properties of angles. Two angles are complementary. The smaller angle is 24° less than the larger angle. Find the measures of both angles.Use Properties of Angles In the following exercises, solve using properties of angles. Two angles are supplementary. The larger angle is 45° more than the smaller angle. Find the measures of both angles.Use Properties of Triangles In the following exercises, solve using properties of triangles. The measures of two angles of a triangle are 22 and 85 degrees. Find the measure of the third angle.Use Properties of Triangles In the following exercises, solve using properties of triangles. One angle of a right triangle measures 41.5 degrees. What is the measure of the other small angle?Use Properties of Triangles In the following exercises, solve using properties of triangles. One angle of a triangle is 30° more than the smallest angle. The largest angle is the sum of the other angles. Find the measures of all three angles.Use Properties of Triangles In the following exercises, solve using properties of triangles. One angle of a triangle is twice the measure of the smallest angle. The third angle is 60° more than the measure of the smallest angle. Find the measures of all three angles.In the following exercises, ABC is similar to XYZ. Find the length of the indicated side. side x In the following exercises, ABC is similar to XYZ. Find the length of the indicated side. side b Use the Pythagorean Theorem In the following exercises, use the Pythagorean Theorem to find the length of the missing side. Round to the nearest tenth, if necessary.Use the Pythagorean Theorem In the following exercises, use the Pythagorean Theorem to find the length of the missing side. Round to the nearest tenth, if necessary. 390.Use the Pythagorean Theorem In the following exercises, use the Pythagorean Theorem to find the length of the missing side. Round to the nearest tenth, if necessary. 391.Use the Pythagorean Theorem In the following exercises, use the Pythagorean Theorem to find the length of the missing side. Round to the nearest tenth, if necessary. 392.Use the Pythagorean Theorem In the following exercises, use the Pythagorean Theorem to find the length of the missing side. Round to the nearest tenth, if necessary. 393.Use the Pythagorean Theorem In the following exercises, use the Pythagorean Theorem to find the length of the missing side. Round to the nearest tenth, if necessary. 394.In the following exercise, solve. Approximate to the nearest tenth, if necessary. 395. Sergio needs to attach a wire to hold the antenna to the roof of his house, as shown in the figure. The antenna is 8 feet tall and Sergio has 10 feet of wire. How far from the base of the antenna can he attach the wire?In the following exercise, solve. Approximate to the nearest tenth, if necessary. Seong is building shelving in his garage. The shelves are 36 inches wide and 15 inches tall. He wants to put a diagonal brace across the back to stabilize the shelves, as shown. How long should the brace be?Understand Linear, Square, Cubic Measure In the following exercises, would you measure each item using linear, square, or cubic measure? amount of sand in a sandbag Understand Linear, Square, Cubic Measure In the following exercises, would you measure each item using linear, square, or cubic measure? 398. height of a tree Understand Linear, Square, Cubic Measure In the following exercises, would you measure each item using linear, square, or cubic measure? 399. size of a patio Understand Linear, Square, Cubic Measure In the following exercises, would you measure each item using linear, square, or cubic measure? 400. length of a highway In the following exercises, find (a) the perimeter (b) the area of each figure In the following exercises, find (a) the perimeter (b) the area of each figure Use Properties of Rectangles In the following exercises, find the (a) perimeter (b) area of each rectangle The length of a rectangle is 42 meters and the width is 28 meters.Use Properties of Rectangles In the following exercises, find the (a) perimeter (b) area of each rectangle The length of a rectangle is 36 feet and the width is 19 feet.Use Properties of Rectangles In the following exercises, find the (a) perimeter (b) area of each rectangle A sidewalk in front of Kathy’s house is in the shape of a rectangle 4 feet wide by 45 feet long.Use Properties of Rectangles In the following exercises, find the (a) perimeter (b) area of each rectangle A rectangular room is 16 feet wide by 12 feet long.In the following exercises, solve. Find the length of a rectangle with perimeter of 220 centimeters and width of 85 centimeters.In the following exercises, solve. Find the width of a rectangle with perimeter 39 and length 11.In the following exercises, solve. The area of a rectangle is 2356 square meters. The length is 38 meters. What is the width?In the following exercises, solve. The width of a rectangle is 45 centimeters. The area is 2700 square centimeters. What is the length?In the following exercises, solve. The length of a rectangle is 12 centimeters more than the width. The perimeter is 74 centimeters. Find the length and the width.In the following exercises, solve. 412. The width of a rectangle is 3 more than twice the length. The perimeter is 96 inches. Find the length and the width.Use Properties of Triangles In the following exercises, solve using the properties of triangles. Find the area of a triangle with base 18 inches and height 15 inches.Use Properties of Triangles In the following exercises, solve using the properties of triangles. Find the area of a triangle with base 33 centimeters and height 21 centimeters.Use Properties of Triangles In the following exercises, solve using the properties of triangles. A triangular road sign has base 30 inches and height 40 inches. What is its area?Use Properties of Triangles In the following exercises, solve using the properties of triangles. If a triangular courtyard has sides 9 feet and 12 feet and the perimeter is 32 feet, how long is the third side?Use Properties of Triangles In the following exercises, solve using the properties of triangles. A tile in the shape of an isosceles triangle has a base of 6 inches. If the perimeter is 20 inches, find the length of each of the other sides.Use Properties of Triangles In the following exercises, solve using the properties of triangles. Find the length of each side of an equilateral triangle with perimeter of 81 yards.Use Properties of Triangles In the following exercises, solve using the properties of triangles. The perimeter of a triangle is 59 feet. One side of the triangle is 3 feet longer than the shortest side. The third side is 5 feet longer than the shortest side. Find the length of each side.Use Properties of Triangles In the following exercises, solve using the properties of triangles. One side of a triangle is three times the smallest side. The third side is 9 feet more than the shortest side. The perimeter is 39 feet. Find the lengths of all three sides.Use Properties of Trapezoids In the following exercises, solve using the properties of trapezoids. The height of a trapezoid is 8 feet and the bases are 11 and 14 feet. What is the area?Use Properties of Trapezoids In the following exercises, solve using the properties of trapezoids. The height of a trapezoid is 5 yards and the bases are 7 and 10 yards. What is the area?Use Properties of Trapezoids In the following exercises, solve using the properties of trapezoids. Find the area of the trapezoid with height 25 meters and bases 32.5 and 21.5 meters.Use Properties of Trapezoids In the following exercises, solve using the properties of trapezoids. A flag is shaped like a trapezoid with height 62 centimeters and the bases are 91.5 and 78.1 centimeters. What is the area of the flag?Use Properties of Circles In the following exercises, solve using the properties of circles. Round answers to the nearest hundredth. A circular mosaic has radius 3 meters. Find the (a) circumference (b) area of the mosaic Use Properties of Circles In the following exercises, solve using the properties of circles. Round answers to the nearest hundredth. A circular fountain has radius 8 feet. Find the (a) circumference (b) area of the fountain Use Properties of Circles In the following exercises, solve using the properties of circles. Round answers to the nearest hundredth. Find the diameter of a circle with circumference 150.72 inches.Use Properties of Circles In the following exercises, solve using the properties of circles. Round answers to the nearest hundredth. Find the radius of a circle with circumference 345.4 centimeters Find the Area of Irregular Figures In the following exercises, find the area of each shaded region.Find the Area of Irregular Figures In the following exercises, find the area of each shaded region.Find the Area of Irregular Figures In the following exercises, find the area of each shaded region.Find the Area of Irregular Figures In the following exercises, find the area of each shaded region.Find the Area of Irregular Figures In the following exercises, find the area of each shaded region.Find the Area of Irregular Figures In the following exercises, find the area of each shaded region.Find Volume and Surface Area of Rectangular Solids In the following exercises, find the (a) volume (b) surface area of the rectangular solid a rectangular solid with length 14 centimeters, width 4.5 centimeters, and height 10 centimeters Find Volume and Surface Area of Rectangular Solids In the following exercises, find the (a) volume (b) surface area of the rectangular solid a cube with sides that are 3 feet long Find Volume and Surface Area of Rectangular Solids In the following exercises, find the (a) volume (b) surface area of the rectangular solid a cube of tofu with sides 2.5 inches Find Volume and Surface Area of Rectangular Solids In the following exercises, find the (a) volume (b) surface area of the rectangular solid a rectangular carton with length 32 inches, width 18 inches, and height 10 inches Find Volume and Surface Area of Spheres In the following exercises, find the (a) volume (b) surface area of the sphere. a sphere with radius 4 yards Find Volume and Surface Area of Spheres In the following exercises, find the (a) volume (b) surface area of the sphere. a sphere with radius 12 meters Find Volume and Surface Area of Spheres In the following exercises, find the (a) volume (b) surface area of the sphere. a baseball with radius 1.45 inches Find Volume and Surface Area of Spheres In the following exercises, find the (a) volume (b) surface area of the sphere. a soccer ball with radius 22 centimeters Find Volume and Surface Area of Cylinders In the following exercises, find the (a) volume (b) surface area of the cylinder a cylinder with radius 2 yards and height 6 yards Find Volume and Surface Area of Cylinders In the following exercises, find the (a) volume (b) surface area of the cylinder a cylinder with diameter 18 inches and height 40 inches Find Volume and Surface Area of Cylinders In the following exercises, find the (a) volume (b) surface area of the cylinder a juice can with diameter 8 centimeters and height 15 centimeters Find Volume and Surface Area of Cylinders In the following exercises, find the (a) volume (b) surface area of the cylinder a cylindrical pylon with diameter 0.8 feet and height 2.5 feet Find Volume of Cones In the following exercises, find the volume of the cone. a cone with height 5 meters and radius 1 meter Find Volume of Cones In the following exercises, find the volume of the cone. a cone with height 24 feet and radius 8 feet Find Volume of Cones In the following exercises, find the volume of the cone. a cone-shaped water cup with diameter 2.6 inches and height 2.6 inches Find Volume of Cones In the following exercises, find the volume of the cone. a cone-shaped pile of gravel with diameter 6 yards and height 5 yards Use the Distance, Rate, and Time Formula In the following exercises, solve using the formula for distance, rate, and time. A plane flew 4 hours at 380 miles per hour. What distance was covered?Use the Distance, Rate, and Time Formula In the following exercises, solve using the formula for distance, rate, and time. Gus rode his bike for112 hours at 8 miles per hour. How far did he ride?Use the Distance, Rate, and Time Formula In the following exercises, solve using the formula for distance, rate, and time. Jack is driving from Bangor to Portland at a rate of 68 miles per hour. The distance is 107 miles. To the nearest tenth of an hours, how long will the trip take?Use the Distance, Rate, and Time Formula In the following exercises, solve using the formula for distance, rate, and time. Jasmine took the bus from Pittsburgh to Philadelphia. The distance is 305 miles and the trip took 5 hours. What was the speed of the bus?Solve a Formula for a Specific Variable In the following exercises, use the formula d = rt. Solve for t: (a) when d =403 and r= 65 (b) in general Solve a Formula for a Specific Variable In the following exercises, use the formula d = rt. Solve for r : (a) when d = 750 and t= 15 (b) in general In the following exercises, use the formula A=12bh . Solve for b: (a) when A=416 and h = 32 (b) in general In the following exercises, use the formula A=12bh . Solve for h: (a) when A=48 and b = 8 (b) in general In the following exercises, use the formula I = Prt. Solve for the principal, P, for: (a) I = $720, r=4%, t = 3 years (b) in general In the following exercises, use the formula I = Prt. Solve for the time, t for: (a) I = $3630, P =$11,000, r = 5.5% (b) in general In the following exercises, solve. Solve the formula 6x + 5y = 20 for y : (a) when x =0 (b) in general In the following exercises, solve. Solve the formula 2x + y = 15 for y : (a) when x =-5 (b) in general In the following exercises, solve. Solve a + b = 90 for a.In the following exercises, solve. Solve 180 = a+b+c for a.In the following exercises, solve. Solve the formula 4x + y = 17 for y.In the following exercise, solve. 466. Solve the formula - 3x + y = -6 for y .In the following exercise, solve. 467. Solve the formula P=2L+2W for W.In the following exercise, solve. 468. Solve the formula V = LWH for H.In the following exercise, solve. 469. Describe how you have used two topics from this chapter in your life outside of math class during the past month.Four-fifths of the people on a hike are children. If there are 12 children, what is the total number of people on the hike?The sum of 13 and twice a number is — 19. Find the number.one number is 3 less than another number. Their sum is 65. Find the numbers.Bonita has $2.95 in dimes and quarters in her pocket, If she has 5 more dimes than quarters, how many of each coin does she have?At a concert, $1600 in tickets was sold. Adult tickets were $9 each and children’s tickets were $4 each. If the number of adult tickets was 3() fewer than twice the number of children’s tickets, how many of each kind were sold?Find the complement of a 52° angle.The measure of one angle of a triangle is twice the measure of the smallest angle. The measure of the third angle is 14 more than the measure of the smallest angle. Find the measures of all three angles.The perimeter of an equilateral triangle is 145 feet. Find the length of each side.? ABC is similar to ? XYZ. Find the length of side c.Find the length of the missing side. Round to the nearest tenth, if necessary.Find the length of the missing side. Round to the nearest tenth, if necessary.?481. A baseball diamond is shaped like a square with sides 90 feet long. How far is it from home plate to second base, as shown?The length of a rectangle is 2 feet more than five times the width. The perimeter is 40 feet. Find the dimensions of the rectangle.A triangular poster has base 80 centimeters and height 55 centimeters. Find the area of the poster.A trapezoid has height 14 inches and bases 20 inches and 23 inches. Find the area of the trapezoid.A circular pool has diameter 90 inches. What is its circumference? Round to the nearest tenth.Find the area of the shaded region. Round to the nearest tenth.Find the volume of a rectangular room with width 12 feet, length 15 feet, and height 8 feet.A coffee can is shaped like a cylinder with height 7 inches and radius 5 inches. Find (a) the surface area and (b) the volume of the can. Round to the nearest tenth.489. A traffic cone has height 75 centimeters. The radius of the base is 20 centimeters. Find the volume of the cone. Round to the nearest tenth.Leon drove from his house in Cincinnati to his sisters house in Cleveland. He drove at a uniform rate of 63 miles per hour and the trip took 4 hours. What was the distance?The Catalina Express takes 112 hours to travel from Long Beach to Catalina Island, a distance of 22 miles. To the nearest tenth, what is the speed of the boat?Use the formula I = Prt to solve for the principal. P, for : (a) 1= $1380. R = 5%. T = 3 yeas (b)in general Solve the formula A =12 bh for h: (a)when A =1716 and b = 66 (b)in general 494.solvex+5y=14fory.Determine whether each polynomial is a monomial, binomial. trinomial, or other polynomial. Z2x34x2x8 6x24x+1 94y2 3x7 Determine whether each polynomial is a monomial, binomial, trinomial. or other polynomial. y38 9x35x2x x43x24x7 y4 w Find the degree of the following polynomials: a. -6y b. 4x-1 c. 3x4+4x28 d. 2y2+3y+9 e. -18 Find the degree of the following polynomials: a. 47 b. 2x28x+2 c. x416 d. y55y3+y e. 9a3 Add: 12x2+5x2 Add: 12y2+8y2.Subtract: 9n(5n)Subtract: 7a3(5a3)Add: 3x2+3y25x2 Add: 2a2+b24a2 Find the sum: (3x22x+8)+(x26x2)Find the sum: (7y2+4y6)+(4y2+5y+1).Find the difference: (6y2+3y1)(3y24).Find the difference: (8u27u2)(5u6u4).Subtract: (4n27n3)from (8n2+5n3).Subtract: (a24a9)From (6a2+4a1).Evaluate: 2x2+4x3when X=2 X=-3 Evaluate: 7y2y2when y=4 y=0 The polynomial 8t2+24t+4gives the height, in feet, of a ball t seconds after it is tossed into the air, from an initial height of 4 feet. Find the height after t=3seconds.The polynomial 8t2+24t+4gives the height, in feet, of a ball x seconds after it is tossed into the air, from an initial height of 4 feet. Find the height after t = 2 seconds.Identify Polynomials, Monomials. Binomials and Trinomials In the following exercises determine if each of the polynomials is a monomial, binomial. trinomial. or other polnomial. 5x+2 Identify Polynomials. Monomials, Binomials and Trinomials In the following exercises determine if each of the polynomial is a monomial, binomial. Trinomial, or other polynomial. z25z6 Identify Polynomials. Monomials, Binomials and Trinomials In the following exercises determine if each of the polynomials is a monomial, binomial. trinomial, or other polynomial.Identify Polynomials, Monomials. Binomials and Trinomials In the following exercises determine if each of the polynomials is a monomial, binomial, trinomial. or other polynomial. 12p4 Identify Polynomials. Monomials. Binomials and Trinomials In the following exercises determine if each of the polynomials is a monomial, binomial. trinomial, or other po4’nomial. y38y2+2y16 Identify Polynomials. Monomials, Binomials and Trinomials In the following exercises determine if each of the polynomials is a monomial, binomial. Trinomial, or other po4’nomial. . 109x Identify Polynomials, Monomials. Binomials and Trinomials In the following exercises determine if each of the polynomials is a monomial, binomial. Trinomial, or other polynomial. 23y2 Identify Polynomials. Monomials, Binomials and Trinomials In the following exercises determine if each of the polynomials is a monomial, binomial, trinomial, or other polynomial. m4+4m3+6m2+4m+1 Determine the Degree of Polynomials In the following exercises, determine the degree of each polynomial. 8a52a3+1 Determine the Degree of Polynomials In the following exercises, determine the degree of each polynomial. 5c3+11c2c8 Determine the Degree of Polynomials In the following exercises, determine the degree of each polynomial. 3x12 Determine the Degree of Polynomials In the following exercises, determine the degree of each polynomial. 4y+17 Use the Definition of a Negative Exponent In the following exercises, simplify. -13 Determine the Degree of Polynomials In the following exercises, determine the degree of each polynomial. -22 Add and Subtract Monomials In the following exercises, add or subtract the monomials. 6x2+9x2 Add and Subtract Monomials In the following exercises, add or subtract the monomials. 4y3+6y3 Add and Subtract Monomials In the following exercises, add or subtract the monomials. 12u+4u Add and Subtract Monomials In the following exercises, add or subtract the monomials. 3m+9m Add and Subtract Monomials In the following exercises, add or subtract the monomials. 5a+7b Add and Subtract Monomials In the following exercises, add or subtract the monomials. 8y+6z Add and Subtract Monomials In the following exercises, add or subtract the monomials. Add: 4a,3b,8a Add and Subtract Monomials In the following exercises, add or subtract the monomiols. Add: 4x,3y,3x Add and Subtract Monomials In the following exercises, add or subtract the monomials. 18x2x Use the Definition of a Negative Exponent In the following exercises, simplify. 13a3a Add and Subtract Monomials In the following exercises, add or subtract the moriomials. Subract 5x6from 12x6 Add and Subtract Monomials In the following exercises, add or subtract the monomials. Subtract 2p4from 7p4 Add and Subtract Polynomials In the following exercises, add or subtract the polynomials. (4y2+10y+3)+(8y26y+5)Add and Subtract Polynomials In the following exercises, add or subtract the polynomials. (7x29x+2)(6x24x+3)Add and Subtract Polynomials In the following exercises, add or subtract the polynomials. (x2+6x+8)+(4x2+11x9)Add and Subtract Polynomials In the following exercises, add or subtract the polynomials. (y2+9y+4)+(2y25y1)Add and Subtract Polynomials In the following exercises, add or subtract the polynomials. (3a7+7)(a27a18)Add and Subtract Polynomials In the following exercises, add or subtract the polynomials. 32. (p25p11)+(3p2+9)Add and Subtract Polynomials In the following exercises, add or subtract the polynomials. (6m29m3)(2m2+m5)Add and Subtract Polynomials In the following exercises, add or subtract the polynomials. (3n24n+1)(4n2n2)Add and Subtract Polynomials In the following exercises, add or subtract the polynomials. (z2+8z+9)(z23z+1)Add and Subtract Polynomials In the following exercises, add or subtract the polynomials. (z27z+5)(z28z+6)Add and Subtract Polynomials In the following exercises, add or subtract the polynomials. (12s215s)(s9)Add and Subtract Polynomials In the following exercises, add or subtract the polynomials. (10r220r)(r8)Add and Subtract Polynomials In the following exercises, add or subtract the polynomials. Find the sum of (2p38)and(p2+9p+18)Add and Subtract Polynomials In the following exercises, add or subtract the polynomials. Find the sum of (q2+4q+13)and (7q33)Add and Subtract Polynomials In the following exercises, add or subtract the polynomials. Subtract (7x24x+2)from (8x2x+6)Add and Subtract Polynomials In the following exercises, add or subtract the polynomials. Subtract (5x2x+12)from (9x26x20)Add and Subtract Polynomials In the following exercises, add or subtract the polynomials. Find the difference of (w2+w42) (w310w+24)Add and Subtract Polynomials In the following exercises, add or subtract the polynomials. Find the deiffereence of (z23z18)and (z2+5z20)Evaluate a Polynomial for a Given Value In the following exercises, evaluate each polynomial for the given value. Evaluate 8y23x+2 a. y=5 b. y=2 c. y=0 Evaluate a Polynomial for a Given Value In the following exercises, evaluate each polynomial for the given value. Evaluate 5y2y7when: a. y=4 b. y=1 c. y=0 Evaluate a Polynomial for a Given Value In the following exercises, evaluate each polynomial for the given value. Evaluate 4-36x when: a. x=3 b. x=0 c. x=1 Evaluate a Polynomial for a Given Value In the following exercises, evaluate each polynomial for the given value. Evaluate 1636x2when: a. x=1 b. x=0 c. swx=2 Evaluate a Polynomial for a Given Value In the following exercises, evaluate each polynomial for the given value. A window washer drops a squeegee from a platform 275 feet high. The polynomial 16t2+275gives the height of the squeegee i seconds after it was dropped. Find the height after t= 4 seconds.Evaluate a Polynomial for a Given Value In the following exercises, evaluate each polynomial for the given value. A manufacturer of microwave ovens has found that the revenue received from selling microwaves at a cost of p dollars each is given by the polynomial 5p2+350p. Find the revenue received when p = 50 dollars.Fuel Efficiency The fuel efficiency (in miles per gallon) of a bus going at a speed of x miles per hour is given by the polynomial 1160x2+12x. Find the fuel efficiency when x =40 mph.Stopping Distance The number of feet it takes for a car traveling at x miles per hour to stop on dry, level concrete is given by the polynomial 0.06x2+ 1. 1x. Find the stopping distance when x = 60 mph.Using your own words, explain the difference between a monomial, a binomial, and a trinomial.Eloise thinks the sum 5x2+3x4is 8x6. What is wrong with her reasoning?Simplify: 43 111 Simplify: a. 34 b.211 Simplify: a. (58)2 b.(0.67)2 Simplify: (25)3 (0.127)2 Simplify: (2)4 24

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