edwardtirado24 edwardtirado24
  • 02-07-2016
  • Mathematics
contestada

Z varies inversely with the product of x and y. When x=2 and y=4, z=0.5 what is the value of z when x=4 and y=9?

Respuesta :

toporc
toporc toporc
  • 02-07-2016
The situation can be represented by the following equation:
[tex]z=\frac{k}{xy}[/tex]
where k is a constant of proportionality.
Plugging in the given values:
[tex]0.5=\frac{k}{2\times4}[/tex]
from which k = 4.
When x = 4 and y = 9
[tex]z=\frac{4}{4\times9}=\frac{1}{9}[/tex]


Answer Link
Fishfry24 Fishfry24
  • 25-03-2021

Answer:

4

Step-by-step explanation:

Answer Link

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