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1 Chapter 7. a. Old Mixture New Mixture The smallest possible container for these ratios has nuts. Almonds Both graphs begin at (0, 0) The graph for the new mixture is slightly steeper, so it has a greater concentration of almonds. c. The company should charge more for the new mixture because almonds cost more and there are more almonds in the new mixture than in the old mixture. 8. In general, all points on the graph will be of the form kp, kq where k is any positive number. k Peanuts Almonds Total Peanuts Almonds Total ( ) Nut Mixture y 0 Old Mixture New Mixture (6, ) 0 (0, ) (6, ) 0 (, ) (, 0) (8, ) 0 (, ) (7, ) x Peanuts Multiples of p p p p p kp Multiples of q q q q q kq Sample answer: Another point on the graph is ( p, q ). k Fair Game Review So, 6. 8 R So, R So, 89.. B; Study Help Available at BigIdeasMath.com. Quiz... to, or : ; The ratio means that there are tulips for every lilies.. 8 to, or 8 : ; The ratio means that there are 8 crayons for every markers... 7 Shoes Boots 8 7 The equivalent ratios are 7 :, 8 : 8, and 9 :. 6 Trains 8 Airplanes The equivalent ratios are : 8, :, and 8 : 8. 9

2 Chapter. Sample answer: 0 liters for every 6 minutes 6. Sample answer: tickets for every 60 points 7. 6 Touchdowns Games 6 6 touchdowns per game 8. Text messages Time (minutes) text messages per minute 9. Entries 80 0 Contests. a. 7 to 6, or 7 : 6; For every 7 Celtics championships, there are 6 Lakers championships. to, or : ; For every Pistons championships, there are Spurs championships. c. 6 to 6, or 6 : 6; For every 6 Bulls championships, there are 6 Lakers championships. Section.. Activity (pp. 8 9). a. 0 ;0 : ; 0 : c. ; : The parts of the ratios correspond to the numerators and denominators of the fractions; When a ratio represents a part-to-whole comparison, you can write it as a fraction.. 0%; 0%; % 60 a. 60% % 00 0 entries per contest c. % Questions 7. a % Time (minutes) questions per minute % Downloads Cost (dollars) 6 60 Five album downloads cost $60.. -fluid-ounce shampoo; Sample answer: The unit cost of the -fluid-ounce shampoo is $0.0 per fluid ounce, which is less than the unit cost of the 0-fluid-ounce shampoo, $0. per fluid ounce. c % 00 0

3 Chapter 0 mi.6 km. a. h mi 77. km h Because 77. kilometers per hour is greater than 0 kilometers per hour, the speed shown is greater than the suggested limit mi h.6 km mi 8.8 km h The new speed is 8.8 kilometers per hour which is below the suggested speed limit of 0 kilometers per hour.. a. Spine-tailed swift: 8. m min Spur-winged goose: 9. ft sec m 60 sec m.8 ft min.8 min 776 m.8 min 6.6 m min Eider duck:. m sec Mallard: 6 mi h 80 ft mi 60 sec 878 m min min m h 6 80 m.8 ft 60 min.8 60 min,00 m 96.8 mm 7.9 m min The spine-tailed swift is the fastest and the mallard is the slowest. km h 000 m km h 000 m 60 min 60 min,000 m 60 min 66.7 m min Because 66.7 meters per minute is greater than 8. meters per minute (the fastest bird from the table), the peregrine falcon s dive speed is faster than the flying speed of any of the birds.. 00,000 km 0.6mi 600 sec sec km h 00, mi h 669,600,000 mi h So, the speed of light is about 669,600,000 miles per hour. 6. Sample answer: Consider a square area 00 square feet. Then each side of this space is 0 feet. Now convert this to meters. in.. cm 0 ft ft in. So, liter of paint covers (.08) 9.9 square meters. m.08 m 00 cm Now calculate how much paint is needed to cover 800 square meters. 800 m L 9.9 m qt gal.7 gal 0.9 L qt You will need about.7 gallons of paint to cover the walls. Fair Game Review C; 0 % of % of % of % of A bh ()() 80 cm Quiz % % %

4 Chapter. % 00. Sample answer: % of So, % of 6 is Sample answer: 0% of So, 0% of 0 is Sample answer: So, 60% of 0 is. 8. Sample answer: So, 60% of 0 is 80.. cm in. 6.6 cm in. So, 6. in. 6.6 cm. 0.9 L 0. qt.8 L qt So, qt.8 L. lb. 0 kg. lb 0. kg So, 0 kg. l. 6 6% 00 0 Saves % Total shots 0 00 The goalie saved 70% of the shots. There are saves and 6 goals scored against for a total of 0 shots. The goalie saved of the 0 shots, so the percent is a part-to-whole ratio.. Amount spent on shorts: % of You spent $0 on shorts. You had $80 $0 $60 left. Amount spent on sandals: 6% of So, you spent $9 on the sandals. To find the answer, find the amount spent on shorts, subtract this from the amount you took, and multiply the result by 6%.. Red windsurfer s speed: 70 ft min m.8 ft min.66 m 60 sec sec The blue windsurfer is traveling faster because the blue windsurfer s speed is meters per second, which is faster than the red windsurfer s speed of about.66 meters per second. Chapter Review. The ratio of butterflies to caterpillars is to, or :. The ratio means that there are butterflies for every caterpillars.. The ratio of saxophones to trumpets is 6 to, or 6 :. The ratio means that there are 6 saxophones for every trumpets Levers 6 8 Pulleys The equivalent ratios are 6 :, : 6, and 8 : 9.. Cars 6 8 Trucks 8 The equivalent ratios are :, 6 : 8, and 8 :.

5 Chapter. Stunts Movies The unit rate is stunts per movie. 6. Stitches Time (minutes) The unit rate is 00 stitches per minute Beats Time (seconds) 0 0 There are 0 beats in 0 seconds. 8. -ounce can. 7 7% % Sample answer: 60% of So, 60% of 80 is Sample answer: 80% of So, 80% of is. 7. Sample answer: 8 0% of So, 0% of 8 is Cost (dollars) Weight (ounces) The unit rate for the -ounce can is $0.8 per ounce. -ounce can Cost (dollars) Weight (ounces) The unit rate for the -ounce can is $0.0 per ounce. The -ounce can is the better buy because it has a smaller unit rate. % % % % Sample answer: So, 70% of 0 is. 9. Sample answer: So, 0% of 0 is 6. qt 0. L.6 qt 0.9 L So, L.6 qt.. cm. 9. in..7 cm in. So, 9. in..7 cm 6

6 Chapter 0. kg. lb 6.7 kg lb So, lb 6.7 kg Sample answer: 80% of Chapter Test. The ratio of scooters to bikes is to, or :. The ratio means that there are scooters for every bikes.. The ratio of starfish to seashells is to, or :. The ratio means that there are starfish for every seashells.. Lemons 6 Limes 6 8 The equivalent ratios are :, : 6, and 6 : 8.. Rabbits Hamsters 9 8 The equivalent ratios are : 9, : 8, and :.. Cost (dollars) 8 Tickets The unit rate is $8 per ticket. 6. Distance (miles) 0 70 Time (hours) The unit rate is 70 miles per hour % % So, 80% of 90 is Sample answer: 0% of So, 0% of 0 is.. Sample answer: % of So, 0% of 7 is 90.. Sample answer: So, 0% of 8 is.. Sample answer: So, 0% of 0 is. qt. L.6 qt 0.9 L So, L.6 qt. 0. kg 6. 6 lb. kg lb So, 6 lb. kg %

7 Chapter 7. Soup A Soup B 8 Sodium (milligrams) Weight (ounces) Sodium (milligrams) Weight (ounces) Soup A has 700 milligrams of sodium in an 8-ounce bowl, which is more sodium than Soup B has at 60 milligrams fluid-ounce 8 Cost (dollars) Volume (fluid ounces) 8 8 The unit rate is $0.0 per fluid ounce % of So, 8 students are boys and 0 8 students are girls. % of 8 8 So, boys wear glasses. 0% of 6 So, 6 girls wear glasses. A total of students wear glasses. Chapter Standards Assessment. A; G; 0 0 0% B; 8 9 Cost (dollars) Pencils fluid-ounce 60 The cost of 0 pencils is $.. 9. Cost (dollars) Volume (fluid ounces) The unit rate is $0.06 per fluid ounce. The 8-fluid-ounce container of orange juice is the better buy because it has a smaller unit rate. 6 6% of the video is downloaded.. G; Using the Distributive Property, m + n m + n. ( ). C; g + b 6. F; The Distributive Property is used to simplify the expression. 7..; 6 % of B; The bag of dog treats originally had 0 treats. With 8 dogs, each dog gets 0 8 treats. 8

8 Chapter 9. H; Area of shaded region Area of rectangle Area of triangle w bh The area of the shaded region is 8 square units ; A h( b + B) in.. A; p k ( ) ( ) Part A: Cherry gelatin was guests. of the dessert eaten by your Part B: % 00 Cherry gelatin was % of the dessert eaten by your guests. 9

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