To convert 50 miles per hour to miles per minute, we need to understand how the units of time are related. Specifically, we know that there are 60 minutes in 1 hour.
Given the expression:
[tex]\[
\frac{50 \text{ miles}}{1 \text{ hour}} \times \frac{1 \text{ hour}}{\square \text{ minutes}}
\][/tex]
Our goal is to find the value that belongs in the box (the denominator of the second fraction) that will allow the units to cancel out correctly, leaving us with the desired units of miles per minute.
We start with:
[tex]\[
\frac{50 \text{ miles}}{1 \text{ hour}}
\][/tex]
To cancel the "hour" from the denominator and correctly convert the speed into miles per minute, the multiplier must be the conversion factor between hours and minutes. We know:
[tex]\[
1 \text{ hour} = 60 \text{ minutes}
\][/tex]
Thus, the fraction to multiply by is:
[tex]\[
\frac{1 \text{ hour}}{60 \text{ minutes}}
\][/tex]
When we multiply, the "hours" will cancel out:
[tex]\[
\frac{50 \text{ miles}}{1 \text{ hour}} \times \frac{1 \text{ hour}}{60 \text{ minutes}} = \frac{50 \text{ miles}}{60 \text{ minutes}} = \frac{5}{6} \text{ miles per minute}
\][/tex]
Therefore, the correct value to be entered in the box to make the conversion successful is:
[tex]\[
\boxed{60}
\][/tex]
