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.