laurenfun laurenfun
  • 01-02-2021
  • Mathematics
contestada

If varies inversely as . It is known that = 10 when = 3, find the value of when = 5.

Respuesta :

Muscardinus Muscardinus
  • 06-02-2021

Answer:

y = 6

Step-by-step explanation:

If x varies inversely proportional as y.

[tex]x=\dfrac{k}{y}[/tex], k is constant of proportionality

or

k = xy

When x = 3 and y = 10

k = 3×10

k = 30

Put x = 5,

[tex]y=\dfrac{k}{x}\\\\y=\dfrac{30}{5}\\\\y=6[/tex]

So, the value of y is 6 when x is 5.

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