Zvaries inversely with x and directly with y. when x=6 and y=2 z=5 what is the value of a when x=4 and y=9

        15·9

z = = 135/4

         4

Step-by-step explanation:

The general formula here is as follows:

        ky

z =

         x

We must find the value of the constant of proportionality.  To do this, subst. 6 for x, 2 for y and 5 for z and compute k:

        k·2

5 =

         6

Multiplying both sides by 6 results in 30 = 2k.

Thus, k = 30/2, or k = 15.

Our formula becomes:

        15y

z =

         x

if x = 4 and y = 9, we get:

        15·9

z = = 135/4

         4

Step-by-step explanation:

We are given that z varies inversely with x and directly with y when x=6 and y=2 then z=5

We have to find the value of z when x=4 and y=9

According to question

and

Therefore, we have

k=proportionality constant

Substitute x=6 , y=2 and z=5 then we get

By division  poperty of equality

k=15

Now, substitute the value x=4,y=9 and k=15 then the value of z

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

4400

step-by-step explanation: