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3 years ago

15

The Gilberts are designing a rectangular patio .The patio has an area of 432 square feet. The width of the patio is 3/4 its leng

th. What is the length of the patio

1 answer:

alexandr402 [8]3 years ago

4 0

The length of the patio is 24 feet and the width is 18 feet

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Suppose that y varies inversely as x and that y=8 when x=3. Calculate the value of y when x= 10.

Svetach [21]

$\bf \qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} y = 8\\ x = 3 \end{cases}\implies 8=\cfrac{k}{3}\implies 24=k~\hfill \boxed{y = \cfrac{24}{x}} \\\\\\ \textit{when x = 10, what is \underline{y}?}\qquad \qquad y = \cfrac{24}{10}\implies y = \cfrac{12}{5}$

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3 years ago

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Step-by-step explanation:

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