mulkeyholden
mulkeyholden mulkeyholden
  • 19-09-2018
  • Mathematics
contestada

Suppose that y varies directly as x and y=10 when x=8. Find the value of x when y=30

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TheBreeze
TheBreeze TheBreeze
  • 19-09-2018

x = 24

30/10 = 3

So, 3x = 24

Answer Link
tramserran
tramserran tramserran
  • 19-09-2018

Varies directly: [tex]\frac{y}{x} = k[/tex]

First, solve for k. Then replace the k-value into the equation and cross multiply to solve for the missing variable.

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

[tex]\frac{30}{x} = \frac{5}{4}[/tex]

30(4) = 5(x)

6(4) = x       divided both sides by 5

24 = x

Answer: 24


Answer Link

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