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mixas84 [53]
3 years ago
14

Suppose you walk 2 miles in 35 minutes. 4. write a proportion to find how far you would walk in an hour if you were to continue

at the same rate.
Mathematics
1 answer:
Mrac [35]3 years ago
7 0
Distance traveled in 35 minute = 2 miles.

So distance traveled in one minute = 2/35 (miles/minute)
                                                             = 0.0572 miles / minute.

So distance traveled in one hour  , we can find by multiplying it from 60.Because in one hour there is 60 minute.

SO distance traveled in one hour = 0.0572 * 60 
                                                          = 3.432 miles / hour.
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\begin{cases} y=220x-160\\ y=20x^2-400 \end{cases}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{\stackrel{\textit{\Large y}}{220x-160}~~ = ~~20x^2-400} \\\\\\ -160=20x^2-220x-400\implies 0=20x^2-220x-240 \\\\\\ 0=20(x^2-11x-12)\implies 0=x^2-11x-12 \\\\\\ 0=(x-12)(x+1)\implies x= \begin{cases} 12\\ -1 \end{cases}

\dotfill\\\\ x=12\qquad \qquad \stackrel{\textit{substituting on the 1st equation}}{y=220(12)-160}\implies y=2480 \\\\\\ x=-1\qquad \qquad \stackrel{\textit{substituting on the 1st equation}}{y=220(-1)-160}\implies y=-380 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (12~~,~~2480)\qquad (-1~~,~~-380)~\hfill

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