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A recruiter travels 1,100 miles during a 40-hour workweek. If she spends [tex]\frac{2}{5}[/tex] of her time traveling, how many hours does she spend traveling?

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To determine how many hours the recruiter spends traveling, we start with the total number of hours in her workweek, which is 40 hours.

Next, we note that she spends [tex]\( \frac{2}{5} \)[/tex] of her time traveling. To find out how many hours this fraction represents, we multiply the total number of hours by this fraction.

First, we express the fraction:

[tex]\[ \text{Fraction of time spent traveling} = \frac{2}{5} \][/tex]

Now we calculate the hours by multiplying this fraction with the total workweek hours:

[tex]\[ \text{Hours spent traveling} = 40 \, \text{hours} \times \frac{2}{5} \][/tex]

Performing this multiplication:

[tex]\[ \text{Hours spent traveling} = 40 \times 0.4 \][/tex]

[tex]\[ \text{Hours spent traveling} = 16.0 \, \text{hours} \][/tex]

So, the recruiter spends 16 hours traveling during her 40-hour workweek.
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