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Ne4ueva [31]
3 years ago
12

The variable z is directly proportional to x, and inversely proportional to y. When x is 7 and y is 7, z has the value 2. What i

s the value of z when x= 10, and y= 12
Mathematics
1 answer:
Rina8888 [55]3 years ago
7 0

Answer:

z = \frac{5}{3}

Step-by-step explanation:

Given z is directly proportional to x and inversely proportional to y then the equation relating them is

z = \frac{kx}{y} ← k is the constant of proportionality

To find k use the condition x = 7, y = 7 and z = 2

k = \frac{zy}{x} = \frac{2(7)}{7} = 2

z = \frac{2x}{y} ← equation of proportionality

When x = 10 and y = 12, then

z = \frac{2(10)}{12} = \frac{20}{12} = \frac{5}{3}

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