Question 10

x equals 13

To solve for the value of x in the equation x + 44 / 2x, where x is given as 11, we first substitute 11 into the equation. This results in 11 + 44 / (2 * 11), which simplifies to 11 + 2, ultimately leading to the result of 13.

A) 33

Option A is incorrect because substituting x = 11 into the equation does not yield 33. If we evaluate the expression step-by-step, the maximum value we reach is 13, which shows that 33 is not a feasible solution.

B) 2.5

Option B is also incorrect. The calculation of the expression with x = 11 does not approach 2.5. In fact, 2.5 is much lower than the result we obtain when evaluating the expression, confirming that this option is invalid.

C) 13

Option C is correct as it accurately represents the computed value from the expression. Substituting x = 11 into the expression leads to 11 + 44 / 22, resulting in 13, validating that this is indeed the correct answer.

D) 55/22

Option D simplifies to 2.5, which is incorrect. Although this option seems mathematically valid in its own right, when we evaluate the original expression with x = 11, we see that it does not result in this value, confirming that this option does not align with the correct answer.

Conclusion

The correct answer is 13, as derived from the proper evaluation of the expression using the substituted value of x. All other options either do not reflect the calculations or yield incorrect results based on the given equation, reinforcing that C is definitively the right choice.