Pregunta
A. \( x=\frac{k+17}{6} \) B. \( x=\frac{k}{6}+17 \) C. \( x=6 k+102 \) D. \( x=k+11 \)
Ask by Black Lynch. in the United States
Feb 04,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
The equivalent expression is \( x = \frac{k+17}{6} \), which matches option A.
Solución
To determine which of the given expressions is equivalent to the expression \( x = \frac{k+17}{6} \), we need to simplify each option and compare it with the given expression.
Let's simplify each option:
A. \( x = \frac{k+17}{6} \)
B. \( x = \frac{k}{6} + 17 \)
C. \( x = 6k + 102 \)
D. \( x = k + 11 \)
Now, let's simplify each option:
A. \( x = \frac{k+17}{6} \)
B. \( x = \frac{k}{6} + 17 \)
C. \( x = 6k + 102 \)
D. \( x = k + 11 \)
After simplifying, we can compare each option with the given expression \( x = \frac{k+17}{6} \) to determine which one is equivalent.
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Did you know that equations like these are used not only in mathematics classrooms but also in real-world scenarios like budgeting and project planning? For example, if "k" represents the number of hours worked and "x" the earnings, rearranging these equations can help you calculate how much more you need to work to reach a financial goal! Also, common mistakes when working with equations often include overlooking the order of operations or mismanaging fractions. A classic blunder is multiplying or dividing throughout the equation without keeping track of signs, particularly with negatives. Always double-check your calculations to ensure accuracy!
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