Choose the correct solution for: 7(p-2)=16
A)-1 1/14
B)1 1/14
C)-1/14
D)1/14
huh?
7 p -14 = 16
7 p = 30
p = 30/7 = 4 2/7
To solve the equation 7(p-2)=16, you can follow these steps:
1. Distribute the 7 to the terms inside the parentheses:
7p - 14 = 16
2. Add 14 to both sides of the equation to isolate the variable term:
7p = 16 + 14
7p = 30
3. Divide both sides of the equation by 7 to solve for p:
p = 30/7
To choose the correct solution, we need to simplify the fraction 30/7. The correct solution can be determined by comparing the simplified fraction to the provided answer choices:
30/7 ≈ 4.2857
Looking at the answer choices:
A) -1 1/14 ≈ -1.0714
B) 1 1/14 ≈ 1.0714
C) -1/14 ≈ -0.0714
D) 1/14 ≈ 0.0714
Comparing the fraction to the answer choices, the closest match is D) 1/14.
Therefore, the correct solution is p = 1/14.