The quantity y varies directly as x and inversely as zWhen x is 10 and z is 4, y is 15What is y when x is 20 and z is 6?

y=20

Step-by-step explanation:

If y varies directly as x, we know that if x increases, y will increase in the same proportion.

If y varies inversely as z, we know that if z increases, z will decrease in the same proportion.

So, when x=10 and z=4, we have y=15.

Then, x increased to 20, so we make the proportion:

old_x/new_x = old_y/new_y

10/20 = 15/new_y

new_y = 20*15/10 = 30

The z value increased from 4 to 6, and y and z are inversely related, so:

(for that operation, our old_y will be 30)

old_z/new_z = new_y/old_y

4/6 = new_y/30

new_y = 30*4/6 = 20

So the value of y for x=20 and z=6 is y=20.

step-by-step explanation:

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation: