Question

−30(s−10)=−180


(1 point)
Responses

s = 16
s = 16

s = -4
s = -4

s = 50
s = 50

s = 70

Answer 1

Half the sum of a number and 10 is 8. Find the number.(1 point)
Responses

3
3

6
6

2
2

-2

Answer 2

To solve the equation \(-30(s - 10) = -180\), we can follow these steps:

1. Divide both sides by -30:
\[
s - 10 = \frac{-180}{-30}
\]
\[
s - 10 = 6
\]

2. Add 10 to both sides to isolate \(s\):
\[
s = 6 + 10
\]
\[
s = 16
\]

Thus, the solution is \(s = 16\).

The correct response is:
s = 16

Answer 3

To find the number that satisfies the equation "Half the sum of a number and 10 is 8," we can set up the following equation:

Let \( x \) be the unknown number.

The equation can be written as:

\[
\frac{x + 10}{2} = 8
\]

Now, we can solve for \( x \):

1. Multiply both sides by 2 to eliminate the fraction:
\[
x + 10 = 16
\]

2. Subtract 10 from both sides:
\[
x = 16 - 10
\]
\[
x = 6
\]

Therefore, the number is \( 6 \).

The correct response is:
6