Question
"Half a number plus 9, is -7" (1 point) Responses The number is -32 The number is -32 The number is -14 The number is -14 The number is -21 The number is -21 The number is -8
Answers
GPT-4o mini
Let's denote the unknown number as \( x \). The equation based on the statement "Half a number plus 9 is -7" can be written as:
\[
\frac{x}{2} + 9 = -7
\]
Now, we can solve for \( x \):
1. Subtract 9 from both sides:
\[
\frac{x}{2} = -7 - 9
\]
\[
\frac{x}{2} = -16
\]
2. Now, multiply both sides by 2 to solve for \( x \):
\[
x = -16 \times 2
\]
\[
x = -32
\]
So, the number is **-32**.
\[
\frac{x}{2} + 9 = -7
\]
Now, we can solve for \( x \):
1. Subtract 9 from both sides:
\[
\frac{x}{2} = -7 - 9
\]
\[
\frac{x}{2} = -16
\]
2. Now, multiply both sides by 2 to solve for \( x \):
\[
x = -16 \times 2
\]
\[
x = -32
\]
So, the number is **-32**.