Question

1. If you can read at an average rate of 5.15 words per second, how long will it take you to read a 505 page book that has an average of 995 words per page?

2. Let’s say you need to make 12.0 dozen cookies. You decide to make these cookies in batches of 24.0 cookies each. Each batch of cookies requires 27.0 mL of vanilla extract. Each bottle of vanilla extract contains 150. mL of liquid. How many bottles of vanilla extract will you need to make all of your cookies?

3. The label on a bottle of orange juice says that each serving of juice provides you with 480. mg of potassium. The label also says that a serving size is 8.00 fluid ounces and that there are two servings per container. In addition, the label says that 480. mg of potassium is 14.0% of the recommended daily amount of potassium that you ingest in a 2000. calorie diet. How many servings of orange juice do you need to ingest to get 100.% of the recommended daily amount of potassium?

4. My car burns oil at a rate of 1.00 quart every 895 miles. If I travel an average of 83,454 km per year, how many liters of oil do I burn in 11.0 years?

5. If my back yard has an area of 75.5 square zzbts, what is the area in square oobts?

1.00 oobt = 3.43 qvsts

1.00 qvst = 15.4 zzbts

Answer 1

Answer)

Total words in the book = 505 x 995 = 502475 words

Time requird to read all words = 502475 words/ 5.15 words s-1 = 97567.96117 s /3600 s hr-1 = 27.10 hrs

1 dozen cookies = 12 cookies

12 dozen cookies = 144 cookies

Numer of batch required = 144 cookies/24 cookies = 6

Total vanilla extract required = 27 mL x 6 = 162 mL

Number of vanilla extract bottke required = 162 mL/ 150 mL = 1.08 Bottles

480 mg Potassium is 14 % of total Potassium recommende per day

each serving of juive provides 480 mg of Potassium

If we want recomended Pottasium then amount of Potassium required = (480 mg/14 %) x 100 % = 3428.57 mg

Number of serving required = 3428.57 mg/480 mg per serving = 7.14 Servings required

895 miles = 1440.36288 km

Distance travelled in 11 years = 11 x 83454 = 917994 km

Total Quarts of oil required = 917994 km/1440.36288 km quart-1 =637.3352 quart

Total oil in litres = 637.3352 quartz x 0.946353 L/quartz = 603.14 L

15.4 zzbts = 1.00 qvst ,

1 zzbt = 1.00 qvst/ 15.4 = 0.06494 qvst

3.43 qvsts = 1.00 oobt

1 zzbt = 0.06494 qvst = (1.00 oobt/3.43) x 0.06494 = 0.01893 oobt

1 square zzbt = 3.5840 x 10-4 square oobt

75.5 square zzbts = 75.5 x 3.5840 x 10-4 square oobt = 0.02706 square oobts

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