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Sindrei [870]
3 years ago
9

The quantity y varies directly with the square of x and inversely with z. When x is 9 and z is 27, y is 6. What is the constant

of variation?


2

18

54
Mathematics
1 answer:
ira [324]3 years ago
4 0
\bf \qquad \qquad \textit{double proportional variation}
\\\\
\begin{array}{llll}
\textit{\underline{y} varies directly with \underline{x}}\\
\textit{and inversely with \underline{z}}
\end{array}\implies y=\cfrac{kx}{z}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------

\bf \stackrel{\textit{\underline{y} varies directly with the square of \underline{x} and inversely with \underline{z}}}{y=\cfrac{kx^2}{z}}
\\\\\\
\textit{we also know that }
\begin{cases}
x=9\\
z=27\\
y=6
\end{cases}\implies 6=\cfrac{k9^2}{27}
\\\\\\
\cfrac{27\cdot 6}{9^2}=k\implies 2=k
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Orlov [11]

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5 0
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Llama buys two identically sized cakes for a party. She cuts the chocolate cake into 24 pieces and the vanilla cake into 20 piec
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Answer:

Martin has more cake than Sheena

Step-by-step explanation:

Chocolate Cake = 24 pieces

Vanilla Cake = 20 pieces

Martin: 3/24, 1/20

Sheena: 1/24, 2/20

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Step 1:

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Step 1:

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Martin has more cake than Sheena

Hope This Helps :)

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3 years ago
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