Final answer:
The value of n that makes the equation 7 + 1/3(n + 3) = 10 true is 9.Option D is the correct answer.
Step-by-step explanation:
To find the value of n that makes the equation 7 + 1/3(n + 3) = 10 true, we need to solve the equation for n. Here are the steps:
- Start by distributing 1/3 to both terms within the bracket: 7 + 1/3 * n + 1/3 * 3 = 10
- Simplify the equation: 7 + 1/3 * n + 1 = 10
- Combine like terms: 7 + 1 + 1/3 * n = 10
- Subtract 8 from both sides of the equation: 1/3 * n = 3
- Multiply both sides by 3 to isolate n: n = 9
Therefore, the value of n that makes the equation true is 9.
The correct value for n in the equation 7 + 1/3(n + 3) = 10 is 9 (Option D). The solution involves distributing 1/3, simplifying, combining like terms, and isolating n, resulting in n = 9. This aligns with the correct answer and demonstrates the step-by-step process of solving the equation for n.