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miss Akunina [59]
3 years ago
14

Joe has 45 minutes to go to soccer practice. He spent 20 minutes eating a snack and the rest of the time doing Homework. Write a

n equation to express how long Joe spent doing homework
Mathematics
1 answer:
Hatshy [7]3 years ago
7 0

Answer:

Step-by-step explanation:

Total amount of time that Joe has before going to soccer practice is 45 minutes. He spent 20 minutes eating a snack. This means that amount of time left after eating the snack is total amount of time that he has - the amount of time he spent on eating the snack. This becomes

45 - 20 = 25 minutes

He spent the rest of the time doing Homework. This means that he spent 25 minutes doing homework.

The equation to express how long Joe spent doing homework will be

Let x = amount of time spent doing home

x = total amount of time he had - amount of time he spent eating snack

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The area of a regular octagon is 35 cm^2. What is the area of a regular octagon with sides five times as long?
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So... let's say the smaller regular octagon has sides of "x" long, then the larger octagon will have sides of 5x.

\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\

\bf \cfrac{small}{large}\quad \stackrel{area~ratio}{\cfrac{s^2}{s^2}}\implies \stackrel{area~ratio}{\cfrac{x^2}{(5x)^2}}\implies \stackrel{area~ratio}{\cfrac{x^2}{5^2x^2}}\implies \stackrel{area~ratio}{\cfrac{\underline{x^2}}{25\underline{x^2}}}=\stackrel{area~ratio}{\cfrac{35}{a}}
\\\\\\
\cfrac{1}{25}=\cfrac{35}{a}\implies a=\cfrac{25\cdot 35}{1}
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4 years ago
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Genrish500 [490]

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======================================================

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