Answered

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enter the value of z when y = 7 and x = 14.

Sagot :

MrRoyal

The value of z is 7 when y = 7 and x = 14.

Complete question

If x varies directly as y and inversely as z and when y = 16 and z = 14,  x = 16. Enter the value of z when y = 7 and x = 14.

How to determine the value of z?

The variation involves a direct and inverse variation from x to y and z.

This is represented as:

[tex]x = \frac{ky}{z}[/tex]

Where k is the constant of variation

For the first set of values, we have:

[tex]16 = \frac{k * 16}{14}[/tex]

Solve for k

k = 14

For the second set of values, we have:

[tex]14 = \frac{k * 7}{z}[/tex]

Substitute 14 for k

[tex]14 = \frac{14 * 7}{z}[/tex]

Solve for z

z = 7

Hence, the value of z is 7

Read more about variation at:

https://brainly.com/question/6499629

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