A 50-minute TV program consists of five commercials, each 4 3 5 minutes long, and six equal‐length entertainment segments. How long is each entertainment segment? Enter your answer as a mixed fraction. Each entertainment segment is minutes long.

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Answer:

Each entertainment segment is [tex]4\frac{1}{2}[/tex] minutes long.

Step-by-step explanation:

Length of each commercial is  [tex]4\frac{3}{5}[/tex] minutes.

The TV program consists of total 5 commercials. So, the total length of 5 commercials will be:  [tex](4\frac{3}{5}\times 5)minutes = (\frac{23}{5}\times 5)minutes = 23[/tex] minutes.

The length of the TV program is given as 50 minutes and there are 6 equal‐length entertainment segments.

So, the total length of 6 entertainment segments will be:  [tex](50-23) minutes = 27[/tex] minutes.

Thus, the length of each entertainment segment [tex]=\frac{27}{6}= \frac{9}{2}=4 \frac{1}{2}[/tex] minutes.

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