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26 Aug 2018, 06:35
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
70% (01:47) correct
30%
(02:21)
wrong
based on 71
sessions
History
Date
Time
Result
Not Attempted Yet
If \(\frac{0.000027*10^x}{900*10^{-4}}= 0.03*10^{11}\), what is the value of x?
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
26 Aug 2018, 06:45
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27/(9×10^8)*10^(x+4)=3*10^9
3×10^(x-4)=3×10^9
X-4=9
X=13
Posted from my mobile device
3×10^(x-4)=3×10^9
X-4=9
X=13
Posted from my mobile device
26 Aug 2018, 10:56
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Bunuel
If \(\frac{0.000027*10^x}{900*10^{-4}}= 0.03*10^{11}\), what is the value of x?
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
\(\frac{0.000027 * 10^x}{900 * 10^{-4}}\)= \(0.03*10^{11}\)
\(\frac{0.000027 * 10^{x+4}}{900}\) = \(3 * 10^9\)
\(\frac{27 * 10^{x + 4 - 6}}{900}\) = \(3* 10^9\)
\(\frac{9 * 10^{x + 4 - 6}}{900}\) = \(10^9\)
\(\frac{10^{x + 4 - 6}}{100}\)= \(10^9\)
\(\frac{10^{x - 2}}{10^2}\)= \(10^9\)
\(10^{x - 2 -2} = 10^9\)
x - 4 = 9
x = 13.
Thus the best answer is A.
