Question
Write the sentence as an algebraic equation.
Five more than the quotient of z divided by seven equals 12.
Choose the best answer from the options below:
A 5 + 7z = 12
B 7 + 5z = 12
C 5 + z/7 = 12
D 5 + 7/z = 12
Five more than the quotient of z divided by seven equals 12.
Choose the best answer from the options below:
A 5 + 7z = 12
B 7 + 5z = 12
C 5 + z/7 = 12
D 5 + 7/z = 12
Answers
GPT-4o mini
To translate the sentence "Five more than the quotient of z divided by seven equals 12" into an algebraic equation, we can break it down:
1. "the quotient of z divided by seven" can be expressed as \( \frac{z}{7} \).
2. "Five more than" means we add 5 to that quotient, resulting in \( 5 + \frac{z}{7} \).
3. "equals 12" means we set the expression equal to 12.
Putting it all together, we get the equation:
\[ 5 + \frac{z}{7} = 12 \]
Therefore, the correct choice is:
**C** 5 + z/7 = 12
1. "the quotient of z divided by seven" can be expressed as \( \frac{z}{7} \).
2. "Five more than" means we add 5 to that quotient, resulting in \( 5 + \frac{z}{7} \).
3. "equals 12" means we set the expression equal to 12.
Putting it all together, we get the equation:
\[ 5 + \frac{z}{7} = 12 \]
Therefore, the correct choice is:
**C** 5 + z/7 = 12