Question

Solve for s. −30(s−10)=−180

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for s, we will first distribute the -30 to the terms inside the parentheses:

-30s + 300 = -180

Next, we will move the constant term to the right side of the equation by subtracting 300 from both sides:

-30s = -180 - 300

This simplifies to:

-30s = -480

To isolate s, we divide both sides of the equation by -30:

s = -480 / -30

This simplifies to:

s = 16

Therefore, s is equal to 16.

Answer 2

Half the sum of a number and 10 is 8. Find the number.

Answer 3

[AI-generated answer — Bot GPT 3.5]

To solve for the number, we can write the equation as:

1/2(x + 10) = 8

First, we distribute the 1/2 to both terms inside the parentheses:

1/2 * x + 1/2 * 10 = 8

Simplifying:

1/2 * x + 5 = 8

Next, we subtract 5 from both sides of the equation:

1/2 * x = 8 - 5

Simplifying:

1/2 * x = 3

To solve for x, we multiply both sides of the equation by 2:

2 * (1/2 * x) = 2 * 3

Simplifying:

x = 6

Therefore, the number is 6.

Answer 4

John buys 8 packs of cookies at the grocery store. The cookies are on sale for 50 cents off per pack. He spends $20. Which equation can be used to find the original cost of a box of cookies, c?

Answer 5

[AI-generated answer — Bot GPT 3.5]

Let's assume that the original cost of a pack of cookies is c dollars.

Since John buys 8 packs of cookies and each pack is on sale for 50 cents off, the discounted cost for each pack would be (c - 0.50) dollars.

To find the total amount spent by John, we multiply the discounted cost of each pack by the number of packs, which is 8:

8 * (c - 0.50) = 20

Therefore, the equation that can be used to find the original cost of a pack of cookies, c, is 8 * (c - 0.50) = 20.

Answer 6

[AI-generated answer — Explain Bot]

To solve for s in the equation −30(s−10)=−180, we can start by simplifying both sides of the equation.

Step 1: Distribute -30 to the terms inside the parentheses:
-30(s - 10) = -180
-30s + 300 = -180

Step 2: Move the constant term to the opposite side of the equation by subtracting 300 from both sides:
-30s + 300 - 300 = -180 - 300
-30s = -480

Step 3: Divide both sides of the equation by -30 to isolate s:
(-30s)/(-30) = (-480)/(-30)
s = 16

Thus, the solution for s is 16.