10. The fraction x/24 is equal to 0.75. What is the value of x?
Answer: D
x is equal to 18.
To find the value of x in the equation x/24 = 0.75, we multiply both sides by 24, resulting in x = 0.75 * 24, which equals 18.
A) 3
Option A is incorrect because substituting x = 3 into the fraction yields 3/24, which simplifies to 1/8 or 0.125, not 0.75.
B) 6
Option B is incorrect as well. If we substitute x = 6 into the fraction, we get 6/24, which simplifies to 1/4 or 0.25, failing to equal 0.75.
C) 9
Option C is also incorrect. Substituting x = 9 results in 9/24, which simplifies to 3/8 or 0.375, which does not equal 0.75.
D) 18
Option D is the correct choice. When x is set to 18, the fraction becomes 18/24, which simplifies to 3/4 or 0.75, satisfying the original equation.
Conclusion
The correct answer is 18, as it accurately satisfies the equation x/24 = 0.75. The other options fail to meet the required equality, demonstrating they are not valid solutions to the problem.