SOLUTION: If x=2y,y=4z,2z=w,and w#0 (doesn't equal) then x/w= (A)1/4 (B)1/2 (C)1 (D)2 (E)4 Thank you so much for your time to help me with this question!

Algebra ->  Test -> SOLUTION: If x=2y,y=4z,2z=w,and w#0 (doesn't equal) then x/w= (A)1/4 (B)1/2 (C)1 (D)2 (E)4 Thank you so much for your time to help me with this question!      Log On


   

Question 475156: If x=2y,y=4z,2z=w,and w#0 (doesn't equal) then x/w=
(A)1/4
(B)1/2
(C)1
(D)2
(E)4
Thank you so much for your time to help me with this question!
Found 2 solutions by jim_thompson5910, Theo:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since x=2y, this means that 2x=4y


Since w=2z, this means that 2w=4z


x%2Fw=%282x%29%2F%282w%29=%284y%29%2F%284z%29=%284y%29%2F%28y%29=4


Note: I replaced 4z with y because y=4z


So x%2Fw=4

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
x = 2y
y = 4z
2z = w
w <> 0
x/w = ?????
x/w = 2y/2z
y = 4z, so we can replace y with 4z to get:
x/w = (2*4z)/2z) = 8z/2z = 4
your answer should be 4.
let's do it again to make sure.
the equation we want is x/w
we know that x = 2y so we substitute 2y for x to get:
2y / w
we know that w = 2z so we substitute 2z for w to get:
2y / 2z
we know that y = 4z, so we substitute 4z for y to get:
2*4z / 2z
the z cancels out and the 2 cancels out and we are left with 4.
that's your answer.