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An expression to convert 50 miles per hour to miles per minute is shown.
[tex]\[ \frac{50 \text{ miles}}{1 \text{ hour}} \times \frac{1 \text{ hour}}{\square \text{ minutes}} \][/tex]

What value can be entered in the box to correctly make this conversion?

A. 6
B. 60
C. 360
D. 3,600


Sagot :

To convert 50 miles per hour to miles per minute, we need to understand the relationship between hours and minutes. One hour is equivalent to 60 minutes.

Let's look at the conversion factor:

[tex]\[ \frac{50 \text{ miles}}{1 \text{ hour}} \times \frac{1 \text{ hour}}{\square \text{ minutes}} \][/tex]

The goal here is to cancel out the hour units to leave us with miles per minute. Since 1 hour is 60 minutes, the expression should include the correct conversion factor for hours to minutes:

[tex]\[ \frac{50 \text{ miles}}{1 \text{ hour}} \times \frac{1 \text{ hour}}{60 \text{ minutes}} \][/tex]

Here, hours cancel out, leaving:

[tex]\[ \frac{50 \text{ miles}}{60 \text{ minutes}} \][/tex]

Therefore, the value to correctly make this conversion is:
[tex]\[ 60 \][/tex]
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