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4 years ago

The variable z is directly proportional to x, and inversely proportional to y. When x is 14 and y is 10, z has the value 26.6.

Mathematics

2 answers:

JulijaS [17]4 years ago

7 0

Answer:

Ok, so I used Mathaway to fingure out that Z is 19 but this is not your final answer, you need to multiply 19 with x and y.

So; x = 24. y = 15. put in your z=19 and then multiply.

Z = 19 × 24 and divide by 15

Your answer should be Z = 30.4

Step-by-step explanation:

Let me know if this helps you wolf!

bye :)

AysviL [449]4 years ago

3 0

Answer:

Step-by-step explanation:

If two variables are directly proportional, it means that an increase in one variable will cause a corresponding increase in the other variable.

If two variables are inversely proportional, it means that an increase in one variable will cause a corresponding decrease in the other variable.

The variable z is directly proportional to x, and inversely proportional to y. If we introduce a constant k, the equation would be

z = kx/y

When x is 14 and y is 10, z has the value 26.6. It means that

26.6 = 14k/10

Cross multiplying, it becomes

26.6 × 10 = 14k

266 = 14k

k = 266/14

k = 19

The equation becomes

z = 19x/y

When x = 24, and y = 15, the value of z would be

z = 19 × 24/15

z = 30.4

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Step-by-step explanation:

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