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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