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The question asks for the ratio of \(2a\) to \(b\) given that the ratio of \(a\) to \(b\) is \(1:5\). Given: \[\frac{a}{b} = \frac{1}{5}\] To find: \[\frac{2a}{b}\] To calculate this, you can multiply both sides of the first equation by 2. This will give you the ratio of \(2a\) to \(b\). \[\frac{2a}{b} = \frac{1 \times 2}{5}\] \[\frac{2a}{b} = \frac{2}{5}\] So, the ratio of \(2a\) to \(b\) is \(2:5\). The correct answer would be: C) \(2\) to \(5\)
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