Question

If Z varies directly as y and inversely as square root of x and z = 5, when y =3,x=9. Find the value of z when y=18 and x = 25.

Answer 1

Answer:

18

Step-by-step explanation:

$z \alpha y \\z\alpha \frac{1}{\sqrt{x} } \\z \alpha \frac{y}{\sqrt{x} } \\z = \frac{ky}{\sqrt{x} } -------(1)\\\\5 = \frac{3k}{\sqrt{9} } \\ 5 = \frac{3k}{3} \\3k = 15\\k = 15/3\\k = 5\\Substitute 5 for k in eq 1\\z = \frac{5y}{\sqrt{x} }\\ z=?\\ y=18 \\ x = 25.\\z = \frac{5y}{\sqrt{x} }\\z = \frac{5(18)}{\sqrt{25} }\\z= \frac{90}{5} \\z = 18$

I hope i am correct