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baherus [9]
3 years ago
15

72=8×9 times as many

Mathematics
1 answer:
Alexeev081 [22]3 years ago
4 0

Answer:

9x8=72

Step-by-step explanation:

Your welcome

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\bf \qquad \qquad \textit{double proportional variation}\\\\&#10;\begin{array}{llll}&#10;\textit{\underline{y} varies directly with \underline{x}}\\&#10;\textit{and inversely with \underline{z}}&#10;\end{array}\implies y=\cfrac{kx}{z}\impliedby &#10;\begin{array}{llll}&#10;k=constant\ of\\&#10;\qquad  variation&#10;\end{array}\\\\&#10;-------------------------------\\\\

\bf \begin{cases}&#10;p=pedalisi\\&#10;w=weight\\&#10;s=\textit{sitting height}&#10;\end{cases}\quad &#10;\begin{array}{llll}&#10;%pelidisi, varies directly as the cube root of a​ person's weight in grams and inversely as the​ person's sitting height in centimeters.&#10;\textit{pelidisi varies directly}\\&#10;\textit{as cube root of weight}\\&#10;\textit{and inversely to }\\&#10;\textit{sitting height}&#10;\end{array}\implies p=\cfrac{k\sqrt[3]{w}}{s}\\\\&#10;-------------------------------

\bf \textit{we know that }&#10;\begin{cases}&#10;w=48,820\\&#10;s=78.7\\&#10;p=100&#10;\end{cases}\implies 100=\cfrac{k\sqrt[3]{48820}}{78.7}&#10;\\\\\\&#10;100\cdot 78.7=k\sqrt[3]{48820}\implies \cfrac{7870}{\sqrt[3]{48820}}=k&#10;\\\\\\&#10;thus\qquad \boxed{p=\cfrac{\frac{7870}{\sqrt[3]{48820}}\sqrt[3]{w}}{s}}&#10;\\\\\\&#10;\textit{now, what is \underline{p} when }&#10;\begin{cases}&#10;w=54,688\\&#10;s=72.6&#10;\end{cases}?\implies p=\cfrac{\frac{7870}{\sqrt[3]{48820}}\sqrt[3]{54688}}{72.6}

now, if that value is less than 100, then the fellow is "undernourished", otherwise, is overfed.
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