Final answer:
The equation 1.8 + 7n = 9.5 - 4n was solved by isolating the variable n, resulting in n = 0.7. Option b is correct.
Step-by-step explanation:
To solve the equation 1.8 + 7n = 9.5 - 4n, we need to get all the n terms on one side of the equation and the constant terms on the other side. Here are the steps for solving the equation:
Add 4n to both sides to get all n terms on one side:
1.8 + 7n + 4n = 9.5 - 4n + 4n
which simplifies to 1.8 + 11n = 9.5.
Subtract 1.8 from both sides to get all constant terms on the other side:
1.8 + 11n - 1.8 = 9.5 - 1.8
which simplifies to 11n = 7.7.
Divide both sides by 11 to solve for n:
11n / 11 = 7.7 / 11
which simplifies to n = 0.7.
Hence, the value of n is 0.7, option b is correct.
Complete questiom:
Solve the equation and show work: 1.8 + 7n = 9.5 - 4n
a. n = 0.525
b. n = 0.7
c. n = 1.05
d. n = 1.2