Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
1. Solving Simple Equations
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Exercise 64 Page 10

When multiplying conversion factors, make sure the only remaining units are the desired units.

0.47

Practice makes perfect
Let's start by copying the given statement. 7gal/min≈qt/sec

In this exercise, we need to change gallons per minute into quarts per second. Since this will involve multiple conversion factors, let's organize them in a table.

Starting Unit Converted Unit
1 gallon 4 quarts
1 minute 60 seconds
To perform this conversion, we need to multiply the given value by all of these conversion factors. Remember, we need to arrange these ratios such that every unit we do not want gets canceled out and only the units that we want will remain.
7gal/min*4qt/1gal*1min/60sec
7gal* 4qt* 1min/min* 1gal* 60sec
7 gal* 4qt* 1 min/min* 1 gal* 60sec
7*4 qt*1/1*60 sec
28 qt/60 sec
0.466666...qt/sec
0.47 qt/sec
Therefore, the value missing from the given statement is 0.47.