Respuesta :

Answer:

The answer would be X=24

Step-by-step explanation:

Y is multiplied by 3 to get the answer 30. Because they are varied directly you have to multiply the 8 by 3 to get your answer!

-Hope this helps-

~Bai~

Answer:

x = 24

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 8, thus

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{10}{8}[/tex] = [tex]\frac{5}{4}[/tex]

y = [tex]\frac{5}{4}[/tex] x = 1.25x ← equation of variation

When y = 30

30 = 1.25x ( divide both sides by 1.25 )

x = 24

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