Question

Write a single expression using unit fractions to determine the answer to each question. Round all answers reasonably.

A. how many feet are in 2.8 miles?
B. how many ounces are in 2.98 tons?
C. How many grams are in 0.186 ounces?

Answer 1

To find the number of feet in 2.8 miles, use the conversion factor 1 mile = 5280 feet. To find the number of ounces in 2.98 tons, use the conversion factor 1 ton = 32,000 ounces. To find the number of grams in 0.186 ounces, use the conversion factor 1 ounce = 28.35 grams.

Step-by-step explanation:

To find the number of feet in 2.8 miles, we can use the conversion factor 1 mile = 5280 feet. So, we can set up the proportion:

2.8 miles = x feet

1 mile = 5280 feet

Cross-multiplying, we get:

x = 2.8 miles × 5280 feet / 1 mile = 14,784 feet

Therefore, there are 14,784 feet in 2.8 miles.

To find the number of ounces in 2.98 tons, we can use the conversion factor 1 ton = 32,000 ounces. So, we can set up the proportion:

2.98 tons = x ounces

1 ton = 32,000 ounces

Cross-multiplying, we get:

x = 2.98 tons × 32,000 ounces / 1 ton = 95,360 ounces

Therefore, there are 95,360 ounces in 2.98 tons.

To find the number of grams in 0.186 ounces, we can use the conversion factor 1 ounce = 28.35 grams. So, we can set up the proportion:

0.186 ounces = x grams

1 ounce = 28.35 grams

Cross-multiplying, we get:

x = 0.186 ounces × 28.35 grams / 1 ounce = 5.2661 grams (rounded to the nearest gram)

Therefore, there are approximately 5.27 grams in 0.186 ounces.