If 48c = 3√47, what is the value of c?
Correct answer: D. 7/24
- A. 7/20
- B. 7/10
- C. 7/15
- D. 7/24
Explanation
The correct answer is 7/24. Begin by expressing the cube root as a fractional exponent: 3√47 becomes 47/3. Equate this to the left side of the equation, 48c. This gives us the equation 8c = 7/3. Solve for c by dividing both sides by 8, resulting in c = 7/24.Other options are incorrect due to errors in converting the root to a fractional exponent or errors in dividing the equation.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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