Question
The product of 10 and the sum of a number and −1
is negative −40
. Find the number.(1 point)
Responses
3
3
−5
negative 5
−3
negative 3
5
is negative −40
. Find the number.(1 point)
Responses
3
3
−5
negative 5
−3
negative 3
5
Answers
GPT-4o mini
Let's denote the unknown number as \( x \). According to the problem statement, we can set up the equation:
\[
10(x + (-1)) = -40
\]
This simplifies to:
\[
10(x - 1) = -40
\]
Now, we can divide both sides by 10:
\[
x - 1 = -4
\]
Next, we can solve for \( x \) by adding 1 to both sides:
\[
x = -4 + 1
\]
\[
x = -3
\]
So, the number is \(-3\).
The correct response is:
**−3 (negative 3)**.
\[
10(x + (-1)) = -40
\]
This simplifies to:
\[
10(x - 1) = -40
\]
Now, we can divide both sides by 10:
\[
x - 1 = -4
\]
Next, we can solve for \( x \) by adding 1 to both sides:
\[
x = -4 + 1
\]
\[
x = -3
\]
So, the number is \(-3\).
The correct response is:
**−3 (negative 3)**.