Question

convert each rate using dimensional analysis. round to the nearest tenth if necessary.

30mi/h=_____ ft/min
a.2640
b.264
c.880
d.2112

Answer 1

so A

Answer 2

how did you get your answer

Answer 3

First how many feet are in a mile?
Next how many minutes are in an hour?

Answer 4

5280 and 60

Answer 5

With proper units please.

Answer 6

its the top divided by the bottom with dimensional analysis
so (30*5280)/60

Answer 7

does the work the same for all problems like that

Answer 8

1 mile = 5280 feet.
So 30 miles = 30 miles x 5280 feet / mile = 158400 feet.

1 hour = 60 minutes

So 30 miles / hour = 158400 feet / 60 minutes = 2640 feet / minute

Answer 9

for all dimensional analysis yes it does

Answer 10

so can one of you walk me through one more problem because im trying to do the same thing but something isnt adding up

Answer 11

What is the next problem?

Answer 12

2.5 qt/min = ____ gal/h

Answer 13

there are 4 quarts in a gallon and 3600 seconds in a hour but the 2.5 quarts is confusing me

Answer 14

4 qts = 1 gal
So 1 qt = 1/4 gal

60 min = 1 h
1 min = 1/60 h

Think of 2.5 qt/min as 2.5 (1 qt) / (1 min).

Substitute 1 qt and 1 min Iderived earlier) with proper units into the previous line.

Answer 15

\[\frac{ 2.5qt |60\min|1gal }{ 1 \min| 1hour|4qt }=\frac{150gal }{ 4hour}=37.5gal/hour\]

Answer 16

i dont understand 2.5 doesnt equal one cup

Answer 17

srry one gallon

Answer 18

In 2.5 qt/min we are replacing qt with 1/4 gal and replacing min with 1/60 h.

Answer 19

oh ok so thats why i mutliplied by 1 and the 4 was multiplied by 1 twice?