Question

2/9m=6

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for m, we can multiply both sides of the equation by 9 to get rid of the fraction:

2/9m * 9 = 6 * 9

This simplifies to:

2m = 54

To isolate m, we can divide both sides of the equation by 2:

2m/2 = 54/2

m = 27

Answer 2

23=x/6+2

Answer 3

[AI-generated answer — Bot GPT 3.5]

To solve for x, we can start by subtracting 2 from both sides of the equation:

23 - 2 = x/6 + 2 - 2

This simplifies to:

21 = x/6

To isolate x, we can multiply both sides of the equation by 6:

6 * 21 = 6 * (x/6)

This simplifies to:

126 = x

So, x = 126

Answer 4

k-9/2=10

Answer 5

[AI-generated answer — Bot GPT 3.5]

To solve for k, we can start by adding 9/2 to both sides of the equation:

k - 9/2 + 9/2 = 10 + 9/2

This simplifies to:

k = 10 + 9/2

To add the fractions, we need a common denominator, which is 2:

k = 10 * 2/2 + 9/2

This simplifies to:

k = 20/2 + 9/2

Combining the numerators:

k = (20 + 9) / 2

Simplifying further:

k = 29/2

So, k = 29/2 or k = 14.5

Answer 6

k-5/4=12

Answer 7

[AI-generated answer — Bot GPT 3.5]

To solve for k, we can start by adding 5/4 to both sides of the equation:

k - 5/4 + 5/4 = 12 + 5/4

This simplifies to:

k = 12 + 5/4

To add the fractions, we need a common denominator, which is 4:

k = 12 * 4/4 + 5/4

This simplifies to:

k = 48/4 + 5/4

Combining the numerators:

k = (48 + 5) / 4

Simplifying further:

k = 53/4

So, k = 53/4 or k = 13.25

Answer 8

-2(r+8)=-27

Answer 9

[AI-generated answer — Bot GPT 3.5]

To solve for r, we can start by distributing the -2 to both terms inside the parentheses:

-2(r + 8) = -27

-2r - 16 = -27

Next, we can add 16 to both sides of the equation to isolate the term with r:

-2r - 16 + 16 = -27 + 16

-2r = -11

To solve for r, we can divide both sides of the equation by -2:

-2r / -2 = -11 / -2

r = 11/2 or r = 5.5

Answer 10

8n-(5n+4)=11

Answer 11

[AI-generated answer — Bot GPT 3.5]

To solve for n, we can start by simplifying the equation:

8n - (5n + 4) = 11

First, we can distribute the negative sign to the terms inside the parentheses:

8n - 5n - 4 = 11

Combine like terms:

(8n - 5n) - 4 = 11

3n - 4 = 11

Next, we can isolate the term with n by adding 4 to both sides of the equation:

3n - 4 + 4 = 11 + 4

3n = 15

Finally, we can solve for n by dividing both sides of the equation by 3:

3n/3 = 15/3

n = 5

Answer 12

Angie and Kenny play online video games. Angie buys 1 software package and 2 months of game play. kenny buys 1 software package and 4 months of game play each software package cost $25 if their total cost is 170 what is the cost of one month of game play

Answer 13

[AI-generated answer — Bot GPT 3.5]

Let's denote the cost of one month of game play as "x".

According to the given information, Angie buys 1 software package and 2 months of game play, so her cost would be:

1 * $25 (software package) + 2 * x (2 months of game play) = $25 + 2x

Similarly, Kenny buys 1 software package and 4 months of game play, so his cost would be:

1 * $25 (software package) + 4 * x (4 months of game play) = $25 + 4x

Since their total cost is $170, we can form an equation:

$25 + 2x + $25 + 4x = $170

Combining like terms:

$50 + 6x = $170

To isolate the variable, we can subtract $50 from both sides of the equation:

$50 + 6x - $50 = $170 - $50

6x = $120

Finally, we can solve for x by dividing both sides of the equation by 6:

6x / 6 = $120 / 6

x = $20

Therefore, the cost of one month of game play is $20.

Answer 14

5g+2(-7+4g)=1-g

Answer 15

[AI-generated answer — Bot GPT 3.5]

Let's simplify the equation step by step:

5g + 2(-7 + 4g) = 1 - g

First, we simplify the expression inside the parentheses:

5g - 14 + 8g = 1 - g

Next, we combine like terms on both sides of the equation:

13g - 14 = 1 - g

To isolate the variable terms, we can add g to both sides and add 14 to both sides:

13g + g - 14 + 14 = 1 - g + g + 14

This simplifies to:

14g = 15

Finally, we solve for g by dividing both sides of the equation by 14:

14g / 14 = 15 / 14

g = 15/14

Thus, the solution is g = 15/14 or approximately g = 1.07.

Answer 16

-2(-c-16)=-2c-16

Answer 17

[AI-generated answer — Bot GPT 3.5]

To simplify the equation, we can start by distributing the -2 to the terms inside the parentheses:

-2(-c - 16) = -2c - 16

Next, we can simplify each side of the equation:

2c + 32 = -2c - 16

Now, we can isolate the variable by adding 2c to both sides and then subtracting 32 from both sides:

2c + 2c + 32 = -2c + 2c - 16 - 32

4c + 32 = -16

Then, we can subtract 32 from both sides:

4c + 32 - 32 = -16 - 32

4c = -48

Finally, we solve for c by dividing both sides by 4:

4c/4 = -48/4

c = -12

Thus, the solution is c = -12.

Answer 18

A=P+PRT for T

Answer 19

[AI-generated answer — Bot GPT 3.5]

To solve for T, we can start by isolating the variable on one side of the equation.

A = P + PRT

We can move P to the other side by subtracting P from both sides:

A - P = PRT

Next, we can divide both sides of the equation by PR to solve for T:

(A - P) / (PR) = T

So, T = (A - P) / (PR)

Answer 20

A rectangle has perimeter 54 cm and the lenght 22 cm what is its width

Answer 21

[AI-generated answer — Bot GPT 3.5]

To find the width of the rectangle, we first need to understand the formula for the perimeter of a rectangle:

Perimeter = 2(length + width)

Given the information that the perimeter is 54 cm and the length is 22 cm, we can substitute these values into the formula:

54 = 2(22 + width)

Next, we simplify the equation by combining like terms:

54 = 44 + 2(width)

To isolate the variable, we subtract 44 from both sides:

54 - 44 = 44 + 2(width) - 44

10 = 2(width)

Finally, we solve for the width by dividing both sides by 2:

10/2 = 2(width)/2

5 = width

Therefore, the width of the rectangle is 5 cm.

Answer 22

-8=5x-3

Answer 23

[AI-generated answer — Bot GPT 3.5]

To solve for x, we can start by isolating the variable on one side of the equation.

-8 = 5x - 3

To isolate the term with x, we can add 3 to both sides of the equation:

-8 + 3 = 5x - 3 + 3

-5 = 5x

Next, we can solve for x by dividing both sides of the equation by 5:

-5/5 = 5x/5

-1 = x

Thus, the solution is x = -1.