Question

lets practice. you must show your dimensional - analysis set - up to receive credit for these problems. be sure to have all answers in the correct sig figs and scientific notation (if necessary) and with a unit.

1. how many yards are in a soccer field (110 meters)?
2. how many liters do you have if you have 18 quarts?
3. how many milliliters are in 5.7 liters?
4. the average age of a high school junior is 16.5 years old. how many days old is the average high school junior?
5. how many kilometers are in 2500 meters?
6. how many pounds are in 52 ounces?
7. how many grams are in 30,000 kilograms?
8. texas is 790 miles from east to west. how many feet is that?
9. how many centimeters are in 0.05 meters?
10. each large pizza can feed three teenage boys. how many pizzas would be needed to feed the center football team which has 56 teenage boys?
11. hawes street is approximately 0.25 miles long. how many yards long is hawes street if 1 mile is equal to 1760 yards?
12. you spend 272 minutes in chemistry class each week. how many minutes will you spend in chemistry at the end of the school year if the school year is 36 weeks long?

Explanation:

Step1: Identify conversion factors

1 yard = 0.9144 meters, 1 quart = 0.946353 liters, 1 liter = 1000 milliliters, 1 year = 365 days, 1 kilometer = 1000 meters, 1 pound = 16 ounces, 1 kilogram = 1000 grams, 1 mile = 5280 feet, 1 meter = 100 centimeters.

Step2: Solve each problem

Problem 1

1. Given 110 meters.

• Conversion: $110\ m\times\frac{1\ yd}{0.9144\ m}\approx120.3\ yd$

Problem 2

1. Given 18 quarts.

• Conversion: $18\ qt\times\frac{0.946353\ L}{1\ qt}\approx17.0\ L$

Problem 3

1. Given 5.7 liters.

• Conversion: $5.7\ L\times\frac{1000\ mL}{1\ L}=5700\ mL$

Problem 4

1. Given 16.5 years.

• Conversion: $16.5\ yr\times\frac{365\ days}{1\ yr}=6022.5\ days$

Problem 5

1. Given 2500 meters.

• Conversion: $2500\ m\times\frac{1\ km}{1000\ m}=2.5\ km$

Problem 6

1. Given 52 ounces.

• Conversion: $52\ oz\times\frac{1\ lb}{16\ oz}=3.25\ lb$

Problem 7

1. Given 30000 kilograms.

• Conversion: $30000\ kg\times\frac{1000\ g}{1\ kg}=30000000\ g$

Problem 8

1. Given 790 miles.

• Conversion: $790\ mi\times\frac{5280\ ft}{1\ mi}=4171200\ ft$

Problem 9

1. Given 0.05 meters.

• Conversion: $0.05\ m\times\frac{100\ cm}{1\ m}=5\ cm$

Problem 10

1. Given 56 teenage - boys and 1 pizza feeds 3 teenage - boys.

• Calculation: $\frac{56}{3}\approx18.67$, so 19 pizzas are needed.

Problem 11

1. Given 0.25 miles and 1 mile = 1760 yards.

• Conversion: $0.25\ mi\times\frac{1760\ yd}{1\ mi}=440\ yd$

Problem 12

1. Given 272 minutes per week and 36 weeks.

• Calculation: $272\ min/week\times36\ weeks = 9792\ minutes$

Answer:

1. Approximately 120.3 yards
2. Approximately 17.0 liters
3. 5700 milliliters
4. 6022.5 days
5. 2.5 kilometers
6. 3.25 pounds
7. 30000000 grams
8. 4171200 feet
9. 5 centimeters
10. 19 pizzas
11. 440 yards
12. 9792 minutes