An expression to convert 50 miles per hour to miles per minute is shown:

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

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

A. 6

B. 60

C. 360

D. 3,600



Answer :

To convert from miles per hour to miles per minute, we need to express the conversion factor between hours and minutes correctly in our expression.

Here is the step-by-step solution:

1. We start with the given rate:
[tex]\[ \frac{50 \text{ miles}}{1 \text{ hour}} \][/tex]

2. To convert this rate into miles per minute, we need to know the number of minutes in one hour. From our knowledge, there are 60 minutes in one hour.

3. The conversion factor from hours to minutes can be written as:
[tex]\[ \frac{1 \text{ hour}}{60 \text{ minutes}} \][/tex]

4. Substituting this conversion factor into the original expression, we get:
[tex]\[ \frac{50 \text{ miles}}{1 \text{ hour}} \times \frac{1 \text{ hour}}{60 \text{ minutes}} \][/tex]

5. By multiplying these fractions, the "hours" unit cancels out, leaving:
[tex]\[ \frac{50 \text{ miles}}{60 \text{ minutes}} \][/tex]

6. Therefore, to correctly make this conversion, the value that should be entered in the box is 60.

So, the value to be entered in the box is [tex]\( 60 \)[/tex].

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