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−30(s−10)=−180



(1 point)
Responses

s = 16
s = 16

s = -4
s = -4

s = 50
s = 50

s = 70

3 answers

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

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

3
3

6
6

2
2

-2

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