noahmomo noahmomo
  • 23-01-2018
  • Mathematics
contestada

if y varies inversely as x and y=10 when x=10, find x when y is 20

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 02-07-2021

9514 1404 393

Answer:

  5

Step-by-step explanation:

When y varies inversely as x, the relation is ...

  y = k(1/x) = k/x

Multiplying by x gives ...

  xy = k

The value of k can be found from (x, y) = (10, 10):

  (10)(10) = k = 100

Then the new value of x will be ...

  x(20) = 100

  x = 100/20 = 5

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