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All Textbook Solutions for PREALGEBRA
Jim ran a l(X)-meter race in 12.32 seconds, Tim ran the same race in 12.3 seconds. Who had the faster time, Jim or Tim? How do you know?Gerry saw a sign advertising postcards marked for sale at “10 for 0*990c.” What is wrong with the advertised price?TRY IT : 5.21 Add: 5.7 + 11.9.TRY IT : 5.22 Add: 18.32 + 14.79.TRY IT : 5.23 Add: 4.8 + 11.69.TRY IT: : 5.24 Add: 5.123 + 18.47TRY IT : 5.25 Subtract: 10 9.58.TRY IT : 5.26 Subtract: 50 37.42.TRY IT : 5.27 Subtract: 4.77 6.3.TRY IT : 5.28 Subtract: 8.12 11.7.TRY IT : 5.29 Multiply : 4.5(6.107).TRY IT : 5.30 Multiply: 10.79(8.12).TRY IT : 5.31 Multiply: (4.63)(-2.9).TRY IT : 5.31 Multiply: (-7.78)(4.9).TRY IT : 5.33 Multiply: (0.04)(0.087).TRY IT : 5.34 Multiply: (0.09)(0.067).TRY IT : 5.35 Multiply 2.58 by factors of (a) 10 (b) 100 (c) 1000.TRY IT : 5.36 Multiply 14.2 by factors of (a) 10 (b) 100 (c) 1000.TRY IT : 5.37 Divide: 0.28 4.TRY IT : 5.38 Divide: 0.56 7.TRY IT : 5.39 Divide: $6.99 36.TRY IT : 5.40 Divide: $4.99 12.TRY IT : 5.41 Divide: -1.989 5.1.TRY IT : 5.45 Divide: -2.04 5-1.TRY IT : 5.43 Divide: -23.492 (-0-04).TRY IT : 5.44 Divide: -4.11 (-0-12).TRY IT : 5.45 Divide: 6 0-03.TRY IT : 5.46 Divide: 7 0-02.TRY IT : 5 47 Nicole earned $35 for babysitting her cousins, then went to the bookstore and spent $18.48 coffee. How much of her babysitting money was left?TRY IT : 5 48 Amber bought a pair of shoes for $24.75 and a purse for $36.90. The sales tax was $4.32. How much did Amber spend?TRY IT : 5 49 Hector put 13 gallons of gas into his car. One gallon of gas costs $3.175. How much did Hector owe for the gas? Round to the nearest cent.TRY IT : 5 50 Christopher bought 5 pizzas for the team. Each pizza cost $9.75. How much did all the pizzas cost?TRY IT : 5 51 Six friends went out for dinner. The total cost of their dinner was $92.82. If they divide the bill equally, how much should each friend pay?TRY IT : 5.52 Chad worked 40 hours last week and his paycheck was $570. How much does he earn per hour?TRY IT : 5.53 Suzanne buys 3 cans of beans that cost $0.75 each and 6 cans of corn total cost of these groceries?TRY IT : 5.54 Lydia bought movie tickets for the family. She bought two adult tickets for $9.50 each and four children's tickets for $6.00 each. How much did the tickets cost Lydia in all?In the following exercises, add or subtract. 16.92 +7.56In the following exercises, add or subtract. 18.37 + 9.36In the following exercises, add or subtract. 256.37 85.49In the following exercises, add or subtract. 248.25 91.29In the following exercises, add or subtract. 21.76 30.99In the following exercises, add or subtract. 15.35 20.88In the following exercises, add or subtract. 37.5 + 12.23In the following exercises, add or subtract. 38.6 + 13.67In the following exercises, add or subtract. -16.53 24.38In the following exercises, add or subtract. -19.47 32.58In the following exercises, add or subtract. -38.69 + 31.47In the following exercises, add or subtract. 29.83 + 19.76In the following exercises, add or subtract. -4.2 + (-9.3)In the following exercises, add or subtract. -8.6 + (-8.6)In the following exercises, add or subtract. 100 64.2In the following exercises, add or subtract. 100 65.83In the following exercises, add or subtract. 72.5 100In the following exercises, add or subtract. 86.2 100In the following exercises, add or subtract. 15 + 0.73In the following exercises, add or subtract. 27 + 0.87In the following exercises, add or subtract. 2.51 + 40.In the following exercises, add or subtract. 9.38 + 60.In the following exercises, add or subtract. 91.745 — ( 10.462)In the following exercises, add or subtract. 94.69 ( 12.678)In the following exercises, add or subtract. 55.01 3.7In the following exercises, add or subtract. 59.08 4.6In the following exercises, add or subtract. 2.51 7.4In the following exercises, add or subtract. 3.84 6.1In the following exercises, multiply. (0.3) (0.4)In the following exercises, multiply. (0.6) (0.7)In the following exercises, multiply. (0.24)(0.6)In the following exercises, multiply. (0.81)(0.3)In the following exercises, multiply. (5.9)(7.12)In the following exercises, multiply. (2.3)(9.41)In the following exercises, multiply. (8.52)(3.14)In the following exercises, multiply. (5.32)(4.86)In the following exercises, multiply. (-4.3) (2.71)In the following exercises, multiply. (-8.5) (1.69)In the following exercises, multiply. (-5.18)(-65.23)In the following exercises, multiply. (-9.16) (-68.34)In the following exercises, multiply. (0.09)(24.78)In the following exercises, multiply. (0.04)(36.89)In the following exercises, multiply. (0.06)(21.75)In the following exercises, multiply. (0.08)(52.45)In the following exercises, multiply. (9.24)(10)In the following exercises, multiply. (6.531)(10)In the following exercises, multiply. (55.2)(1,000)In the following exercises, multiply. (99.4)(1,000)In the following exercises, divide. 0.15 5In the following exercises, divide. 0.27 3In the following exercises, divide. 4.75 25In the following exercises, divide. 12.04 43In the following exercises, divide. $8.49 12In the following exercises, divide. $16.99 9In the following exercises, divide. $1174.25 48In the following exercises, divide. $109.24 36In the following exercises, divide. 0.6 0.2In the following exercises, divide. 0.8 0.4In the following exercises, divide. 1.44 (-0.3)In the following exercises, divide. 1.25 (-0.5)In the following exercises, divide. 1.75 (-0.05)In the following exercises, divide. -1.15 (-0.05)In the following exercises, divide. 5.2 2.5In the following exercises, divide. 6.5 3.25In the following exercises, divide. 12 0.08In the following exercises, divide. 5 0.04In the following exercises, divide. 11 0.55In the following exercises, divide. 14 0.35In the following exercises, simplify. 6(12.4-9.2)In the following exercises, simplify. 3(15.7 — 8.6)In the following exercises, simplify. 24(0.5)+ (0.3)2In the following exercises, simplify. 35(0.2) + (0.9)2In the following exercises, simplify. 1.15(26.83+ 1.61)In the following exercises, simplify. 1.18(46.22 + 3.71)In the following exercises, simplify. $45 4- 0,08($45)In the following exercises, simplify. $63 + 0.18($63)In the following exercises, simplify.In the following exercises, simplify. 27 (0.55 + 0.35)In the following exercises, simplify. (1.43 +0.27) 0.9 0.05)In the following exercises, simplify. (1.5 0.06) (0.12 + 0.24)In the following exercises, simplify. [$75.42 + 0.18($75.42)]-r 5In the following exercises, simplify. [$56,31 + 0.22($56.31)] 4In the following exercises, use the strategy for applications to solve. Spending money Brenda got $40 from the ATM. She spent $15.11 on a pair of earrings. How much money did she have left?In the following exercises, use the strategy for applications to solve. Spending money Marissa found $20 in her pocket. She spent $4.82 on a smoothie. How much of the $20 did she have left?In the following exercises, use the strategy for applications to solve. Shopping Adam bought a t- shirt for $18,49 and a hook for $8.92 The sales tax was $1.65, How much did Adam spend?In the following exercises, use the strategy for applications to solve. Restaurant Roberto's restaurant bill was $20.45 for the entrée and $3.15 for the drink. He left a $4.40 tip. How much did Roberto spend?In the following exercises, use the strategy for applications to solve. Coupon Emily bought a box of cereal that cost $4.29. She had a coupon for SO.55 off, and the store doubled the coupon. How much did she pay for the box of cereal?In the following exercises, use the strategy for applications to solve. Coupon Diana bought a can of coffee that cost $7.99. She had a coupon for $0.75 off, and the store doubled the coupon. How much did she pay for the can of coffee?In the following exercises, use the strategy for applications to solve. Diet Leo took part in a diet program. He weighed 190 pounds at the start of the program. During the first week, he lost 4.3 pounds. During the second week, he had lost 2.8 pounds. The third week, he gained 0.7 pounds. The fourth week, he lost 1.9 pounds. What did Leo weigh at the end of the fourth week?In the following exercises, use the strategy for applications to solve. Snowpack On April 1, the snowpack at the ski resort was 4 meters deep, but the next few days were very warm. By April 5, the snow depth was 1.6 meters less. On April 8, it snowed and added 2.1 meters of snow. What was the total depth of the snow?In the following exercises, use the strategy for applications to solve. Coffee Noriko bought 4 coffees for herself and her co-workers. Each coffee was $3.75, How much did she pay for all the coffees?In the following exercises, use the strategy for applications to solve. Subway Fare Arianna spends $4.50 per day on subway fare. Last week she rode the subway 6 days. How much did she spend for the subway fares?In the following exercises, use the strategy for applications to solve. Income Mayra earns $9.25 per hour. Last week she worked 32 hours. How much did she earn?In the following exercises, use the strategy for applications to solve. Income Peter earns $8.75 per hour. Last week he worked 19 hours. How much did he earn?In the following exercises, use the strategy for applications to solve. Hourly Wage Alan got his first paycheck from his new job. He worked 30 hours and earned $382.50. How much does he earn per hour?In the following exercises, use the strategy for applications to solve. Hourly Wage Maria got her first paycheck from her new job. She worked 25 hours and earned $362.50. How much does she earn per hour?In the following exercises, use the strategy for applications to solve. Restaurant Jeannette and her friends love to order mud pie at their favorite restaurant. They always share just one piece of pie among themselves. With tax and tip, the total cost is $6.00. How much does each girl pay if the total number sharing the mud pie is 2? 3? 4? 5? 6?In the following exercises, use the strategy for applications to solve. Pizza Alex and his friends go out for pizza and video games once a week. They share the cost of a $15.60 pizza equally. How much does each person pay if the total number sharing the pizza is 2? 3? 4? 5? 6?In the following exercises, use the strategy for applications to solve. Fast Food At their favorite fast food restaurant, the Carlson family orders 4 burgers that cost $3.29 each and 2 orders of fries at S2.74 each. What is the total cost of the order?In the following exercises, use the strategy for applications to solve. Home Goods Chelsea needs towels to take with her to college. She buys 2 bath towels that cost $9.99 each and 6 washcloths that cost $2,99 each. What is the total cost for the bath towels and washcloths?In the following exercises, use the strategy for applications to solve. Zoo The Lewis and Chousmith families are planning to go to the zoo together. Adult tickets cost $29.95 and children's tickets cost $19.95. What will the total cost be for 4 adults and 7 children?In the following exercises, use the strategy for applications to solve. Ice Skating Jasmine wants to have her birthday party at the local ice skating rink. It will cost $8.25 per child and $12.95 per adult. What will the total cost be for 12 children and 3 adults? In the following exercises, use the strategy for applications to solve.In the following exercises, use the strategy for applications to solve. Paycheck Annie has two jobs. She gets paid $14,04 per hour for tutoring at City College and $8.75 per hour at a coffee shop. Last week she tutored for 8 hours and worked at the coffee shop for 15 hours. (a) How much did she earn? (b) If she had worked all 23 hours as a tutor instead of working both jobs, how much more would she have earned?In the following exercises, use the strategy for applications to solve. Paycheck Jake has two jobs. He gets paid $7.95 per hour at the college cafeteria and $20.25 at the art gallery. Last week he worked 12 hours at the cafeteria and 5 hours at the art gallery. (a) How much did he earn? (b) If he had worked all 17 hours at the art gallery instead of working both jobs, how much more would he have earned?In the 2010 winter Olympics, two skiers took the silver and bronze medals in the Men's Super-G ski event. The silver medalist's time was 1 minute 30,62 seconds and bronze medalist’s time was 1 minute 30.65 seconds. Whose time was faster? Find the difference in their times and then write the name of that decimal.Find the quotient of 0.12 0.04 words all the steps taken.TRY IT : 5.55 Write the fraction as a decimal: 14 .TRY IT : 5.56 Write the fraction as a decimal: 38 .TRY IT : 5.57 Write the fraction as a decimal: 94 .TRY IT : 5.58 Write the fraction as a decimal: 112 .TRY IT : 5.59 Write as a decimal: 2711 .TRY IT : 5.60 Write as a decimal: 5122 .TRY IT : 5.61 Simplify: 38+4.9 .TRY IT : 5.62 Simplify: 5.7+1320 .TRY IT : 5.63 Order each of the following pairs of numbers, using < or >. 17200.82TRY IT : 5.64 Order each of the following pairs of numbers, using < or >. 240.785TRY IT : 5.65 Order each of the following pairs of numbers, using < or >. 580.58TRY IT : 5.66 Order each of the following pairs of numbers, using < or >. 0.531120TRY IT : 5.67 Write each set of numbers in order from smallest to largest: 7 8 , 4 5 ,0.82.TRY IT : 5.68 Write each set of numbers in order from smallest to largest: 0.835 1316 , 34 .TRY IT : 5.69 Simplify: 8(14.6 37.5) 35 (9.6 2.1).TRY IT : 5.70 Simplify: 25(25.69 56.74) 27(11.9 4.2).TRY IT : 5.69 Simplify: 9 0.9 + (0.4)3 (0.2)2.TRY IT : 5.72 Simplify: (12)2+(0.3)(4.2) .TRY IT : 5.73 A circle has radius 50 inches, Approximate its (a) circumference and (b) area.TRY IT : 5.74 A circle has radius 100 feet. Approximate its (a) circumference and (b) area.TRY IT : 5.75 A circle has radius 51.8 centimeters. Approximate its (a) circumference and (b) area.TRY IT : 5.76 A circle has radius 26.4 meters. Approximate its (a) circumference and (b) area.TRY IT : 5.77 A circle has radius 521 meters. Approximate its (a) circumference and (b) area.TRY IT : 5.78 A circle has radius 1033 inches. Approximate its (a) circumference and (b) area.In the following exercises, convert each fraction to a decimal. 25In the following exercises, convert each fraction to a decimal. 45In the following exercises, convert each fraction to a decimal. 38Y13In the following exercises, convert each fraction to a decimal. 58In the following exercises, convert each fraction to a decimal. 1720In the following exercises, convert each fraction to a decimal. 1320In the following exercises, convert each fraction to a decimal. 114In the following exercises, convert each fraction to a decimal. 174In the following exercises, convert each fraction to a decimal. 31025In the following exercises, convert each fraction to a decimal. 28425In the following exercises, convert each fraction to a decimal. 59In the following exercises, convert each fraction to a decimal. 29In the following exercises, convert each fraction to a decimal. 1511In the following exercises, convert each fraction to a decimal. 1811In the following exercises, convert each fraction to a decimal. 15112In the following exercises, convert each fraction to a decimal. 25111In the following exercises, simplify the expression. 12+6.5In the following exercises, simplify the expression. 14+10.75In the following exercises, simplify the expression. 2.4+58In the following exercises, simplify the expression. 3.9+920In the following exercises, simplify the expression. 9.73+1720In the following exercises, simplify the expression. 6.29+2140In the following exercise, order each pair of numbers, using < or >. 180.8In the following exercise, order each pair of numbers, using < or >. 140.4In the following exercise, order each pair of numbers, using < or >. 250.25In the following exercise, order each pair of numbers, using < or >. 350.35In the following exercise, order each pair of numbers, using < or >. 0.72534In the following exercise, order each pair of numbers, using < or >. 0.9278In the following exercise, order each pair of numbers, using < or >. 0.6623In the following exercise, order each pair of numbers, using < or >. 0.8356In the following exercise, order each pair of numbers, using < or >. 0.7545In the following exercise, order each pair of numbers, using < or >. 0.44920In the following exercise, order each pair of numbers, using < or >. 340.925In the following exercise, order each pair of numbers, using < or >. 230.632In the following exercises, write each set of numbers in order from least to greatest. 35,916,0.55In the following exercises, write each set of numbers in order from least to greatest. 38,720,0.36In the following exercises, write each set of numbers in order from least to greatest. 0.702,1320,58In the following exercises, write each set of numbers in order from least to greatest. 0.15,316,15In the following exercises, write each set of numbers in order from least to greatest. 0.3,13,720In the following exercises, write each set of numbers in order from least to greatest. 0.2,320,16In the following exercises, write each set of numbers in order from least to greatest. 34,79,0.7In the following exercises, write each set of numbers in order from least to greatest. 89,45,0.9In the following exercises, simplify. 10(25.1 43.8)In the following exercises, simplify. 30(18.1 32.5)In the following exercises, simplify. 62(9.75 - 4.99)In the following exercises, simplify. 42(8.45 - 5.97)In the following exercises, simplify. 34(12.44.2)In the following exercises, simplify. 45(8.63.9)In the following exercises, simplify. 512(30.5817.9)In the following exercises, simplify. 916(21.969.8)In the following exercises, simplify. 100.1+(1.8)4(0.3)2In the following exercises, simplify. 50.5+(3.9)6(0.7)2In the following exercises, simplify. (37.1+52.7)(12.562.5)In the following exercises, simplify. (11.4+16.2)(1860)In the following exercises, simplify. ( 1 5 ) 2 +(1.4)(6.5)In the following exercises, simplify. (12)2+(2.1)(8.3)In the following exercises, simplify. 910+815+0.25In the following exercises, simplify. 381415+0.72In the following exercises, simplify, Give the answer as a decimal. 3146.5In the following exercises, simplify, Give the answer as a decimal. 5258.75In the following exercises, simplify, Give the answer as a decimal. 10.86 23In the following exercises, simplify, Give the answer as a decimal. 5.79 34In the following exercises, simplify, Give the answer as a decimal. 78(103.48)+112(361)In the following exercises, simplify, Give the answer as a decimal. 516(117.6)+213(699)In the following exercises, simplify, Give the answer as a decimal. 3.6(982.72)In the following exercises, simplify, Give the answer as a decimal. 5.1(1253.91)In the following exercises, approximate the(a) circumference and (b) area of each circle. If measurements are given in fractions, leave a answer in fraction form. radius = 5 in.In the following exercises, approximate the(a) circumference and (b) area of each circle. If measurements are given in fractions, leave a answer in fraction form. radius = 20 in.In the following exercises, approximate the(a) circumference and (b) area of each circle. If measurements are given in fractions. radius = 9 ft.In the following exercises, approximate the(a) circumference and (b) area of each circle. If measurements are given in fractions, leave a answer in fraction form. radius = 4 ft.In the following exercises, approximate the(a) circumference and (b) area of each circle. If measurements are given in fractions, leave a answer in fraction form. radius = 46 cmIn the following exercises, approximate the(a) circumference and (b) area of each circle. If measurements are given in fractions, leave a answer in fraction form. radius = 38 cmIn the following exercises, approximate the(a) circumference and (b) area of each circle. If measurements are given in fractions, leave a answer in fraction form. radius = 18.6 mIn the following exercises, approximate the(a) circumference and (b) area of each circle. If measurements are given in fractions, leave a answer in fraction form. radius = 57.3 mIn the following exercises, approximate the(a) circumference and (b) area of each circle. If measurements are given in fractions, leave a answer in fraction form. radius = 710 mileIn the following exercises, approximate the(a) circumference and (b) area of each circle. If measurements are given in fractions, leave a answer in fraction form. radius = 7 11 mileIn the following exercises, approximate the(a) circumference and (b) area of each circle. If measurements are given in fractions, leave a answer in fraction form. 277. radius = 38yardIn the following exercises, approximate the(a) circumference and (b) area of each circle. If measurements are given in fractions, leave a answer in fraction form. 278. radius = 512 yardIn the following exercises, approximate the(a) circumference and (b) area of each circle. If measurements are given in fractions, leave a answer in fraction form. diameter = 56mIn the following exercises, approximate the(a) circumference and (b) area of each circle. If measurements are given in fractions, leave a answer in fraction form. diameter = 3 4 mKelly wants to buy a pair of boots that are on sale for 23 of the original price. The original price of the boots is $84.99. What is the sale price of the shoes?An architect is planning to put a circular mosaic in the entry of a new building. The mosaic will be in the shape of a circle with radius of 6 feet. How many square feet of tile will be needed for the mosaic? (Round your answer up to the next whole number.}Is it easier for you to convert a decimal to a fraction or a fraction to a decimal? Explain.Describe a situation in your life in which you might need to find the area or circumference of a circle.TRY IT : 5.79 Determine whether each value is a solution of the given equation. x06=1.3 : x=0.7 x=1.9 x=0.7TRY IT : 5. 80 Determine whether each value is a solution of the given equation. y 0.4 =1.7: y = 2.1 y = 1.3 -1.3TRY IT : 5.81 Solve: y + 2.7 = -5.3.TRY IT : 5.82 Solve: y + 3.6 = 4.8.TRY IT : 5.83 Solve: a - 3.93 = 2.86.TRY IT : 5.84 Solve: n - 3.47 = 2.84.TRY IT : 5.85 Solve: - 8.4 = 0.7b.TRY IT : 5.86 Solve: -5.6 = 0.7c.TRY IT : 5.87 Solve: c2.6=4.5 .TRY IT : 5.88 Solve: b1.2=5.4 .TRY IT: 5.89 Trans and solve: The difference of y and 4.9 is 2.8.TRY IT : 5.89 Trans and solve: The difference of z and 5.7 is 3.4.TRY IT : 5.91 Trans and solve: The product of -4.3 and x and 12.4.TRY IT : 5.92 Trans and solve: The product of -3.1 and m and 26.66.TRY IT : 5.93 Trans and solve: The quotient of q and -3.4 is 4.5.TRY IT : 5.94 Trans and solve: The quotient of r and -2.6 is 2.5.TRY IT : 5.95 Trans and solve: The sum of j and 3.8 is 2.6.TRY IT : 5.96 Trans and solve: The sum of k and 4.7 is 0.3.In the following exercises, determine whether each number is a solution of the given equation. x0.8=2.3 (a) x=2 (b) x=1.5 (c) x=3.1In the following exercises, determine whether each number is a solution of the given equation. y +0.6 = -3.4 (a) y = -4 (b) y = -2.8 (c) y = 2.6In the following exercises, determine whether each number is a solution of the given equation. h1.5=4.3 (a) h = 6.45 (b) h = -6.45 (c) h = -2.1In the following exercises, determine whether each number is a solution of the given equation. 0.75 K = -3.6 (a) k = -0-48 (b) k = -4.8 (c) k = -2.7In the following exercises, solve the equation. y+2.9=5.7In the following exercises, solve the equation. m+4.6=6.5In the following exercises, solve the equation. f+3.45=2.6In the following exercises, solve the equation. h+4.37=3.5In the following exercises, solve the equation. a+6.2=1.7In the following exercises, solve the equation. b+5.8=2.3In the following exercises, solve the equation. c+1.15=3.5In the following exercises, solve the equation. d+2.35=4.8In the following exercises, solve the equation. n2.6=1.8In the following exercises, solve the equation. p3.6=1.7In the following exercises, solve the equation. x0.4=3.9In the following exercises, solve the equation. y0.6=4.5In the following exercises, solve the equation. j1.82=6.5In the following exercises, solve the equation. k3.19=4.6In the following exercises, solve the equation. m0.25=1.67In the following exercises, solve the equation. q0.47=1.53In the following exercises, solve the equation. 05x=3.5In the following exercises, solve the equation. 0.4p=9.2In the following exercises, solve the equation. 1.74c=8.5In the following exercises, solve the equation. 2.9x=5.8In the following exercises, solve the equation. 1.4p=4.2In the following exercises, solve the equation. 2.8m=8.4In the following exercises, solve the equation. 120=1.5qIn the following exercises, solve the equation. 75=1.5yIn the following exercises, solve the equation. 0.24x=4.8In the following exercises, solve the equation. 0.18n=5.4In the following exercises, solve the equation. 3.4z=9.18In the following exercises, solve the equation. 2.7u=9.72