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Mandarinka [93]
3 years ago
11

Z varies directly with X squared and inversely with Y. When X equals two and Y equals four, Z equals three. What is the value of

Z when X equals four and Y equals nine
A: 2/3

B: 16/3

C: 8/3

D: 24
Mathematics
1 answer:
gayaneshka [121]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Set up the equation

z = \frac{kx^2}{y}

Plug in the numbers to find the value of k

3 = \frac{k(2^2)}{4}

12 = 4k

3 = k

Solve to find the value of z

z = \frac{3(4^2)}{9}

z = \frac{3(16)}{9}

z = 48/9

z = 16/3

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