Question

Convert each rate using dimensional analysis round to the nearest hundredth if necessary

18meters/minutes =? centimeters /seconds

Answer 1

how many cups are in a gallon

Answer 2

how many cups are in 5.7 gallons

Answer 3

To convert 18 meters/minute to centimeters/second, we need to multiply it by a conversion factor.

1 meter = 100 centimeters
1 minute = 60 seconds

The conversion factor is therefore: (100 centimeters/1 meter) / (60 seconds/ 1 minute)

Using dimensional analysis, we have:
18 meters/minute * (100 centimeters/1 meter) / (60 seconds/ 1 minute)

Simplifying the expression, we get:
18 * 100 / 60 centimeters/second

Evaluating the expression, we have:
(18 * 100) / 60 = 1800 / 60 = 30 centimeters/second

Therefore, 18 meters/minute is equal to 30 centimeters/second.

Answer 4

There are 16 cups in a gallon.

Answer 5

To find out how many cups are in 5.7 gallons, we need to multiply the number of gallons by the conversion factor.

1 gallon is equal to 16 cups.

Using dimensional analysis, we can set up the calculation as follows:

5.7 gallons * 16 cups/gallon

Multiplying the numbers, we have:

5.7 * 16 = 91.2 cups

Therefore, there are 91.2 cups in 5.7 gallons.