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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 a speed given in miles per hour to miles per minute, you need to consider the relationship between hours and minutes.

We know that there are 60 minutes in an hour. So, we need to convert the time unit from hours to minutes.

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

- To convert from hours to minutes, we need to account for the fact that:
[tex]\[ 1 \text{ hour} = 60 \text{ minutes} \][/tex]

- Therefore, in the conversion factor, the value that represents the number of minutes in one hour should be 60.

So, the correct value to enter in the box is:
[tex]\[ 60 \][/tex]

This means the complete expression for converting 50 miles per hour to miles per minute would be:
[tex]\[ \frac{50 \text { miles }}{1 \text { hour }} \times \frac{1 \text { hour }}{60 \text { minutes }} \][/tex]
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