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MArishka [77]
3 years ago
7

Two authors came to read to an audience. Author A read at a rate of 153 words per minute. Author B read at a rate of 184 words p

er minute. If each author read 50 pages, with 300 words per page, how much longer did Author A read than Author B?
A.) 14 minutes and 57 seconds
B.) 15 minutes and 18 seconds
C.) 16 minutes and 31 seconds
D.) 17 minutes and 29 seconds
If you could provide an explanation on how you solved it, that would be wonderful.
Mathematics
1 answer:
Pachacha [2.7K]3 years ago
4 0
 it was b i think for how long they read
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ikadub [295]

Answer:  \bold{a=1\qquad b=\dfrac{1}{16}\qquad c=\dfrac{1}{64}\qquad d=1\qquad e=\dfrac{4}{9}\qquad f=\dfrac{16}{81}}

<u>Step-by-step explanation:</u>

\begin{array}{c|l}\underline{\quad x\quad}&\underline{\quad 4^{-x}\qquad \qquad}\\-1&4^{-(-1)}=4^1=4\\\\0&4^{-(0)}=4^0=1\\\\2&4^{-(2)}=\dfrac{1}{4^2}=\dfrac{1}{16}\\\\4&4^{-(4)}=\dfrac{1}{4^4}=\dfrac{1}{64}\end{array}

\begin{array}{c|l}\underline{\quad \bigg x \quad}&\underline{\quad \bigg(\dfrac{2}{3}\bigg)^x\qquad \qquad}\\\\-1&\bigg(\dfrac{2}{3}\bigg)^{-1}=\dfrac{3}{2}\\\\0&\bigg(\dfrac{2}{3}\bigg)^{0}=1\\\\2&\bigg(\dfrac{2}{3}\bigg)^{2}=\dfrac{2^2}{3^2}=\dfrac{4}{9}\\\\4&\bigg(\dfrac{2}{3}\bigg)^{4}=\dfrac{2^4}{3^4}=\dfrac{16}{81}\end{array}

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