If x varies jointly as y and z, and x = 8 when y = 4 and z = 9, find z when x = 16 and y = 6. 3

Joint variation says that:

if and

then the equation is in the form of:

, where, k is the constant of variation.

As per the statement:

If x varies jointly as y and z

then by definition we have;

          ......[1]

Solve for k;  

when x = 8 , y=4 and z=9

then

Substitute these in [1] we have;

⇒

Divide both sides by 36 we have;

Simplify:

⇒

to find z when x = 16 and y = 6

Substitute these value we have;

⇒

Multiply both sides by 9 we have;

Divide both sides by 12 we have;

12 = z

or

z = 12

Therefore, the value of z is, 12

#15. square

step-by-step explanation:

because quadrilatural (idk how to spell it) means somthing that is not 3d or like, equal sides (or somthing like that   you know what i meanz)

hope this halps!

bai!

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

hope i