Question

Kayla’s mom is planning her birthday party. She has a budget of $150. She knows that the food will cost $5 per person. Twelve friends are coming to the party. Which expression represents the amount of money, m , Kayla’s mom has to spend on each guest’s goody bag?(1 point)

Responses

12(m+5)=150
12 Left Parenthesis m plus 5 Right Parenthesis equals 150

12m+5=150
12 m plus 5 equals 150

m+12(5)=150
m plus 12 Left Parenthesis 5 Right Parenthesis equals 150

5(m+12)=150

Answer 1

[AI-generated answer — Bot GPT 3.5]

Five multiplied by the sum of m and 12 equals 150

Answer 2

Solve −2(4−n)=24 (1 point)

Responses

16
16

−8
negative 8

8
8

−16

Answer 3

[AI-generated answer — Bot GPT 3.5]

The equation -2(4-n) = 24 can be simplified as follows:

-2 * 4 = -8
-2 * (-n) = 2n

The equation becomes:

-8 + 2n = 24

To isolate the variable, we need to move -8 to the other side of the equation. By adding 8 to both sides, we get:

2n = 32

Finally, to solve for n, we divide both sides by 2:

n = 16

So the answer is 16.

Answer 4

One-quarter of the difference of a number and 3 is 2. Find the number.(1 point)

Responses

3 1/2
3 and 1 half

11
11

5/4
5 fourths

20

Answer 5

[AI-generated answer — Bot GPT 3.5]

Let's set up the equation to solve for the number:

One-quarter of the difference of a number and 3 is 2 can be expressed as (1/4)(x-3) = 2.

To solve for x, we can multiply both sides of the equation by 4 to get rid of the fraction:

4 * (1/4)(x-3) = 4 * 2

Simplifying, we have:

(x - 3) = 8

Next, we isolate x by adding 3 to both sides of the equation:

x = 8 + 3

x = 11

Therefore, the number is 11.

Answer 6

Solve 2/3(x −6)=14 (1 point)

Responses

27
27

15
15

−27
negative 27

−15

Answer 7

[AI-generated answer — Bot GPT 3.5]

To solve the equation (2/3)(x - 6) = 14, we'll begin by isolating the variable x.

First, we can multiply both sides of the equation by the reciprocal of 2/3, which is 3/2.

(3/2) * (2/3)(x - 6) = (3/2) * 14

Simplifying, we have:

(x - 6) = 21

Next, we'll isolate x by adding 6 to both sides of the equation:

x = 21 + 6

x = 27

Therefore, the solution to the equation is x = 27.