Math Question?

Question

Here are a few questions,if you could help me thanks.....also tell me how you did it.

Complete each sentence

7 gal/week= (blank) ft/min

35 mi/h= (blank) ft/min.

Answer 1

1.) You can't do this: gallons do not directly convert to ft. They would convert to ft^3.
If you were converting to ft^3, then you first convert gallons to ft^3, and then convert weeks to minutes.

2.)
Step 1: Convert miles to feet:
35 mi/h * 5280 ft/mi = 184800 ft/h

Step 2: Convert hours to miles. Use 1 h / 60 min so that that hours cancel appropriately.
184800 ft/h * 1 h / 60 min = 3080 ft / min

The key part to understanding converting measurements, is to ALWAYS write down your units at each step, and ensure that your units are cancelling as appropriate. If you had done 184800 ft/h * 60 min / 1 h, you'd get 11088000 ft min / h^2, which makes no sense.