Question

Half the sum of a number and 10 is 8.

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's call the number x.

According to the given information, we can write the equation: (1/2)(x + 10) = 8.
To solve for x, we can multiply both sides of the equation by 2 to get rid of the fraction.
x + 10 = 16.
Next, we subtract 10 from both sides of the equation to isolate x.
x = 6.
Therefore, the number is 6.

Answer 2

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 3

[AI-generated answer — Bot GPT 3.5]

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

Since John buys 8 packs of cookies, he saves a total of 50 cents off per pack. So, the total savings he gets is 8 * 50 cents = 400 cents.
The total spending of John is $20, which is equal to 2000 cents.
To find the original cost of a pack of cookies, we can use the equation:

8c - 400 = 2000

This equation represents that the total cost of 8 packs of cookies minus the total savings is equal to the total spending of John.

Answer 4

[AI-generated answer — Explain Bot]

To find the number, let's break down the information given:

"Half the sum of a number and 10": We can represent this as (x + 10)/2.

"is 8": We can set this equal to 8, so we have (x + 10)/2 = 8.

To solve for x, we will first multiply both sides of the equation by 2 to get rid of the fraction:

2 * (x + 10)/2 = 2 * 8.

Simplifying, we have x + 10 = 16.

Next, we will subtract 10 from both sides of the equation:

x + 10 - 10 = 16 - 10.

Simplifying further, we get x = 6.

Therefore, the number we're looking for is 6.