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04 Jan 2023, 10:00
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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:
15%
(low)
Question Stats:
83% (01:34) correct
17%
(01:44)
wrong
based on 122
sessions
History
Date
Time
Result
Not Attempted Yet
If \(\frac{13.5}{\frac{1}{x}−1.1}=−10\), then x =
A. -4
B. -2
C. 2
D. 4
E. 5
A. -4
B. -2
C. 2
D. 4
E. 5
04 Jan 2023, 10:37
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Bunuel
ASIDE: If you're not sure how to solve this question, an easy alternative is to test each answer choice.
Here's an algebraic solution:
Given: \(\frac{13.5}{\frac{1}{x}−1.1}=−10\)
Multiply both sides by \(\frac{1}{x}−1.1\) to get: \(13.5 =(-10)(\frac{1}{x}−1.1)\)
Expand the right side: \(13.5 =\frac{-10}{x}+11\)
Subtract 11 from both sides: \(2.5 =\frac{-10}{x}\)
Multiply both sides by x to get: \(2.5x =-10\)
Divide both sides by 2.5 to get: \(x =\frac{-10}{2.5}=-4\)
Answer: A
04 Jan 2023, 13:24
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Bunuel
We can take LCM of the fraction in the denominator and then cross multiply to get the answer.
The detailed working is shown below.
\(Option A\)
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