Please help me with the following problem:
Convert each rate using dimensional analysis. Round to the nearest tenth, if necessary.
4.5 qt / min = ____ gal / h
A. 67.5
B. 33.8
C. 56.3
D. 65
I think the answer is A. Is this correct?
Please help me by checking my answer. Any help will again be appreciated! :)
4.5 qt/min * 1 gal/4qt * 60min/hr = (4.5)(60)/4 gal/hr = 67.5 gal/hr
You are correct
Thank you Steve! You're help is very appreciated. I did not know if it was correct or not. Thanks again! :)
Express each ratio as a fraction in simplest form. Hint: 1 yard = 3 feet.
9 yards to 48 feet
a.
645-06-01-00-00_files/i0050000.jpg
c.
645-06-01-00-00_files/i0050001.jpg
b.
645-06-01-00-00_files/i0050002.jpg
d.
645-06-01-00-00_files/i0050003.jpg
9 yards to 48 feet
a.
645-06-01-00-00_files/i0050000.jpg
c.
645-06-01-00-00_files/i0050001.jpg
b.
645-06-01-00-00_files/i0050002.jpg
d.
645-06-01-00-00_files/i0050003.jpg
To convert 4.5 qt/min to gal/h, we need to use dimensional analysis.
Dimensional analysis is a method of converting units by multiplying the given value by conversion factors that cancel out the unwanted units.
First, we need to establish the conversion factors:
1 gallon (gal) = 4 quarts (qt)
1 hour (h) = 60 minutes (min)
To cancel out the quarts (qt), we can multiply by the conversion factor 1 gallon / 4 quarts. This will give us the gallons.
Similarly, to cancel out the minutes (min), we can multiply by the conversion factor 60 minutes / 1 hour. This will give us the hours.
Now, let's perform the conversion:
4.5 qt/min * (1 gal / 4 qt) * (60 min / 1 h)
Starting with 4.5, we can cancel out the quarts (qt):
4.5 * 1 gal / 4
This simplifies to:
1.125 gal
Now, we can cancel out the minutes (min) by multiplying by the conversion factor:
1.125 * 60 min / 1 h
This simplifies to:
67.5 gal/h
Therefore, the correct answer is A) 67.5.
You were correct in choosing answer A. Well done!