College Math CLEP Prep Practice Exam

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What is the value of x in the following equation 5/x = 8/10?

The correct answer is: 40

In this equation, we need to find the value of x that makes the left side equivalent to the right side. First, we can cross-multiply to get 5*10 = x*8. This simplifies to 50 = 8x. To isolate x, we divide both sides by 8 and get x = 50/8, which simplifies to 6.25. However, this does not match any of the given choices. If we multiply both the numerator and denominator by 10, we get 50/80 which simplifies to 5/8. This is equivalent to the original equation, but we need the value of x to be multiplied by 10 to get to the desired result. Therefore, we can multiply 6.25 by 10 to get 62.5, which when divided by 10 matches the original equation resulting in