kwartakmanjan4292 kwartakmanjan4292
  • 24-01-2020
  • Mathematics
contestada

Suppose x is directly proportional to y but inversely proportional to z. If x =3 when y = 6 and z =4, then what is z when y=3?

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sqdancefan
sqdancefan sqdancefan
  • 24-01-2020

Answer:

  z = 2

Step-by-step explanation:

The proportionality can be written as ...

  x = ky/z

Then ...

  z = ky/x

If x is constant, z is directly proportional to y. When y is reduced by a factor of 2 from 6 to 3, then z will be reduced by a factor of 2 from 4 to 2.

  z = 2 . . . . when y=3 and x=3

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