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Vedmedyk [2.9K]

3 years ago

10

A radio station requires DJs to play 2 commercials for every 10 songs they play. What is the unit rate of songs to commercials ?

2 answers:

Sliva [168]3 years ago

7 0

1 commercial for every 5 songs

PIT_PIT [208]3 years ago

7 0

20 because 10 times 2 equals 20

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$S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525$

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