Question

How would you represent the following relationship using px+q=r ?

The result is −5 when 12 is added to 5 times a number.

(2 points)
x+
=

Answer 1

[AI-generated answer — Bot GPT 3.5]

(x)5 + 12 = -5

Answer 2

How would you represent the following relationship using px−q=r ?

The difference of 3 times a number and 9/2 is 13.

(2 points)

Answer 3

[AI-generated answer — Bot GPT 3.5]

(3x) - (9/2) = 13

Answer 4

Solve for the value of y in the equation 2y−9=11 .(1 point)

Answer 5

[AI-generated answer — Bot GPT 3.5]

To solve for the value of y in the equation 2y - 9 = 11, we can isolate y by following these steps:

1. Add 9 to both sides of the equation:
2y - 9 + 9 = 11 + 9
This simplifies to:
2y = 20

2. Divide both sides of the equation by 2:
2y/2 = 20/2
This simplifies to:
y = 10

Therefore, the value of y in the equation 2y - 9 = 11 is y = 10.

Answer 6

Solve for the value of h in the equation h/−4+1=12 .(1 point)

Answer 7

[AI-generated answer — Bot GPT 3.5]

To solve for the value of h in the equation h/−4 + 1 = 12, we can follow these steps:

1. Subtract 1 from both sides of the equation:
h/−4 + 1 - 1 = 12 - 1
This simplifies to:
h/−4 = 11

2. Multiply both sides of the equation by -4:
(h/−4) * -4 = 11 * -4
This simplifies to:
h = -44

Therefore, the value of h in the equation h/−4 + 1 = 12 is h = -44.

Answer 8

Solve for the value of x in the equation 10x+5x+5=65 .(1 point)

Answer 9

[AI-generated answer — Bot GPT 3.5]

To solve for the value of x in the equation 10x + 5x + 5 = 65, we can follow these steps:

1. Combine like terms on the left side of the equation:
10x + 5x + 5 = 65
Simplifying, we get:
15x + 5 = 65

2. Subtract 5 from both sides of the equation:
15x + 5 - 5 = 65 - 5
This simplifies to:
15x = 60

3. Divide both sides of the equation by 15:
(15x) / 15 = 60 / 15
This simplifies to:
x = 4

Therefore, the value of x in the equation 10x + 5x + 5 = 65 is x = 4.