Question #727d8

3 Answers
Jan 23, 2018

You didn't provide any choices for your question, but I'll provide an example below.

Explanation:

#100/1 / 12/1= n# Let #n=# how many feet per minute

Hope this helps! :)

Feb 1, 2018

Read below.

Explanation:

So we have: 100 inches per minute.

Now, we ask ourselves: how many feet is #100# inches?

We know that #12 #in. #=##1ft#

Since we want 100 inches, we multiply both sides by #100/12#

#12 #in.#*100/12# #=##1ft*100/12#

=>#100 #in. #=##100/12ft#

We simplify the fraction.

=>#100 #in. #=##25/3ft#

=>#100 #in. #=##8 1/3ft#

Therefore, #100#inches per minute is equal to #8 1/3# feet per minute.

Feb 1, 2018

#"100 in/min"# is equal to #8 1/3" ft/min"#.

Explanation:

Use dimensional analysis.

Write an equation showing how feet and inches are related.

#"1 ft"##=##"12 in"#

This will give two conversion factors:

#"1 ft"/"12 in"# and #"12 in"/"1 ft"#

Since we want to end up with feet/minute, multiply #"100 in/mi"# by the conversion factor that has feet in the numerator. This will cancel inches and leave feet.

#(100color(red)cancel(color(black)("in")))/"min"xx("1 ft")/(12color(red)cancel(color(black)("in")))##=##8.3bar3" ft/min"##=##8 1/3" ft/min"#