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What is the value of when z = 3x, y = 4z, and xy ≠ 0 ? 12 1
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17 Mar 2018, 07:20
17 Mar 2018, 07:20
Expert Reply
00:00
Question Stats:
86% (01:06) correct
13% (00:42) wrong based on 15 sessions
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What is the value of \(\frac{xy}{z^2}\) when z = 3x, y = 4z, and xy ≠ 0 ?
A. 12
B. \(\frac{4}{3}\)
C. 1
D. \(\frac{3}{4}\)
E. \(\frac{1}{12}\)
A. 12
B. \(\frac{4}{3}\)
C. 1
D. \(\frac{3}{4}\)
E. \(\frac{1}{12}\)
Drill 1
Question: 2
Page: 497
Question: 2
Page: 497
Re: What is the value of when z = 3x, y = 4z, and xy ≠ 0 ? 12 1
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18 Mar 2018, 06:45
18 Mar 2018, 06:45
Expert Reply
Explanation
You know that \(\frac{xy}{z^2}\), so solve this one by plugging in values for z, x, and y. If x = 12, then z = 36 and y = 144; \(\frac{xy}{z^2}=\frac{12\times 144}{36^2}=\frac{4}{3}\). The correct answer is choice (B).
You know that \(\frac{xy}{z^2}\), so solve this one by plugging in values for z, x, and y. If x = 12, then z = 36 and y = 144; \(\frac{xy}{z^2}=\frac{12\times 144}{36^2}=\frac{4}{3}\). The correct answer is choice (B).
Re: What is the value of when z = 3x, y = 4z, and xy ≠ 0 ? 12 1
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22 Mar 2018, 04:18
22 Mar 2018, 04:18
1
Try to represent the quantity in one variable, such as y=4z then z=y/4. If z=y/4 then y/4=3x, so x=(y/4)/3. Now, we can represent all in a form of y variable. (y/12*y)/ (y/4)^2. Solving for y, we can get 4/3.
