a stack of quarters is 5 mm. how many quarters are in a stack that is 5 cm tall? show the steps you took and explain your answer

1 answer:

8 0

Well, scence you don't know how many quarters are in a stack of 5mm, ill give a variable answer...there's 10x as many quarters in the stack of cm than the stack of millimeters, because 5mm=1/2 cm, and 5/.5=10

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$\bf \begin{array}{clclll}
3^{1001}&\qquad &4^{1002}\\
\uparrow &&\uparrow \\
a&&b
\end{array}\\\\
-----------------------------\\\\
(a+b)^2-(a-b)^2\implies (a^2+2ab+b^2)-(a^2-2ab+b^2)
\\\\\\
a^2+2ab+b^2-a^2+2ab-b^2\implies 2ab+2ab\implies 4ab
\\\\\\
now\qquad 4(3^{1001})(4^{1002})=k12^{1001}\qquad 
\begin{cases}
12^{1001}\\
(4\cdot 3)^{1001}\\
4^{1001}\cdot 3^{1001}
\end{cases}$

$\bf \\\\\\
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\\\\\\
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\begin{array}{llll}
\textit{same base}\\
\textit{add the}\\
exponents
\end{array}
\\\\\\
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