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If (0.056∗10z)(0.00007∗10w)(0.056∗10z)(0.00007∗10w)=(800y)(9z∗9−w)(800

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Manager
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Joined: 07 Jun 2018
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If (0.056∗10z)(0.00007∗10w)(0.056∗10z)(0.00007∗10w)=(800y)(9z∗9−w)(800  [#permalink]

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New post 31 Oct 2018, 21:37
2
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

83% (02:33) correct 17% (02:33) wrong based on 32 sessions

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If \(\frac{(0.056*10^{z})}{(0.00007*10^{w})}\)=\(\frac{(800y)}{(9^{z}*9^{-w})}\) then y=

1. \((1/9)^{w-z}\)

2. \(9^{z-w}\)

3. \(90^{z-w}\)

4. \((1/90)^{z}\)

5. \(90^{w}\)
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Re: If (0.056∗10z)(0.00007∗10w)(0.056∗10z)(0.00007∗10w)=(800y)(9z∗9−w)(800  [#permalink]

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New post 31 Oct 2018, 22:32
Jazzmin - Straight forward but a bit lengthy problem =1 min.
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Concentration: Operations, General Management
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Re: If (0.056∗10z)(0.00007∗10w)(0.056∗10z)(0.00007∗10w)=(800y)(9z∗9−w)(800  [#permalink]

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New post 31 Oct 2018, 23:15
\(\frac{56 * 10^{z-3}}{7 * 10^{w-5}}\) = \(\frac{800y}{9^{z-w}}\)

\(10^{z-3-w+5}\) = \(\frac{100y}{9^{z-w}}\)

\(10^{z-w} * 10^2\) = \(\frac{10^2 y}{9^{z-w}}\)

\(y = 90^{z-w}\)

OPTION : C
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If (0.056∗10z)(0.00007∗10w)(0.056∗10z)(0.00007∗10w)=(800y)(9z∗9−w)(800  [#permalink]

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New post 03 Nov 2018, 03:35
1
Answer is C indeed. However, this should not be labeled as DS problem, please amend it to PS.

Thanks
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If (0.056∗10z)(0.00007∗10w)(0.056∗10z)(0.00007∗10w)=(800y)(9z∗9−w)(800   [#permalink] 03 Nov 2018, 03:35
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