Solve for the value of x if x=11. x + 44 / 2x =
x equals 13 when x is 11.
To find the value of x in the equation x + 44 / 2x, we substitute x with the value 11. The expression simplifies to 11 + 44 / 2(11), which equals 13 after following the order of operations.
This choice suggests that the result of the equation would equal 33. However, when we perform the calculation with x set to 11, the correct simplification shows that the result is 13, not 33. Therefore, this option is incorrect.
Choosing 2.5 implies an incorrect evaluation of the expression. Substituting x with 11 and following the order of operations leads to a much larger result than 2.5, specifically 13. Hence, this answer does not align with the operations performed.
This answer is correct as it accurately reflects the result of the expression when x is substituted with 11. The calculation simplifies as follows: 11 + 44 / (2 * 11) = 11 + 2 = 13. This confirms that when x equals 11, the expression evaluates to 13.
While 55/22 mathematically simplifies to 2.5, it does not represent the correct value derived from the expression when x is 11. The calculation from the original equation does not yield this result, making this option incorrect.
The value of x equals 13 when x is substituted with 11 in the expression x + 44 / 2x. This choice correctly follows the mathematical operations necessary to simplify the equation. All other options either miscalculate the expression or suggest values that do not match the derived result. Thus, understanding the correct order of operations is crucial in solving such equations accurately.
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