Question

Convert each rate using dimensional analysis. Round to the nearest tenth, if necessary.

4.5 qt / min = ____ gal / h

a.67.5
c.56.3
b.33.8
d.65

Answer 1

@hilbertboy96

Answer 2

@mathslover

Answer 3

1 gal = 4qt and 1 h = 60 minutes.

So, \(4.5 qt/min \times \cfrac{60 min.}{1 h} \times \cfrac{1 gal }{ 4qt} \)

As , 60 min. / 1h = 1 and 1 gal / 4 qt = 1

Answer 4

i.e. I just multiplied and divided by 1 :

\(4. 5 \times \cfrac{1}{1} \times \cfrac{1}{1}\)

Now as , 1/1 = 60 minute / 1 hour

So, \(4.5 \times \cfrac{60 mn.}{1 h} \times \cfrac{1}{1}\)

Also, 1/1 = 1 gal / 4qt

So, \(4.5 qt / min. \times \cfrac{60 min. }{ 1 h.} \times \cfrac{1 gal}{ 4 qt}\)

\(4.5 \cancel{qt} / \cancel{min.} \times \cfrac{60 \cancel{min.} }{1 h} \times \cfrac{1 gal}{4 \cancel{qt}}\)

Answer 5

Solve further

Answer 6

270?

Answer 7

You forgot the "4" in the denominator

\(4.5 \times \cfrac{60}{\boxed{4}}\)

Answer 8

Lol. Yeah. Thank you. (:

Answer 9

You're welcome @hadleydarcym :)