TessaT625353 TessaT625353
  • 03-11-2022
  • Mathematics
contestada

if x varies directly as y, and x = 10 when y = 5, find x when y = 9. x = ______

Respuesta :

HutchinsonI697861 HutchinsonI697861
  • 03-11-2022

Solution:

Since x varies directly as y, consider the following diagram:

by cross-multiplication, we get:

[tex]5x\text{ = (9)(10)}[/tex]

this is equivalent to:

[tex]5x\text{ = 90}[/tex]

solving for x, we get:

[tex]x\text{ = }\frac{90}{5}=18[/tex]

so that, we can conclude that the correct answer is:

x = 18.

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