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y varies directly as x and inversely as z. y=100 when x=5 and z=10. Find y when x=3 and z=60.

Respuesta :

citlali18

Answer:

10

Step-by-step explanation:

Formula you are going to use: [tex]y=\frac{kx}{z}[/tex]

you will use k to help you resolve for y :)

  1. [tex]y=\frac{kx}{z}[/tex]
  2. [tex]100=\frac{5k}{10}[/tex]
  3. [tex]100=\frac{k}{2}[/tex] (multiply by 2 to cancel the fraction)
  4. 200 = k

Now you will replace k with 200 :)

  1. [tex]y=\frac{kx}{z}[/tex]
  2. [tex]y=\frac{3(200)}{60}[/tex]
  3. [tex]y=\frac{600}{10}[/tex]
  4. y = 10
  • Hope it helps you  [tex]:)[/tex]

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