Carcass wrote:
If \(\frac{1}{x} = 0.4\), then \(\frac{1}{x+2}=\)
A. \(\frac{1}{8}\)
B. \(\frac{1}{5}\)
C. \(\frac{2}{9}\)
D. \(\frac{1}{4}\)
E. \(\frac{2}{7}\)
Given: \(\frac{1}{x} = 0.4\)
Rewrite as follows: \(\frac{1}{x} = \frac{2}{5}\)
Cross multiply: \(2x = 5\)
Solve:\(x = 2.5\)
Plug in this x-value to get: \(\frac{1}{x+2}= \frac{1}{2.5+2}= \frac{1}{4.5}\)
From here, we can take \(\frac{1}{4.5}\) and multiply top and bottom by \(2\) to get: \(\frac{2}{9}\)
Answer: C
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Brent Hanneson - founder of Greenlight Test Prep