Question

Part A

The top of a table has dimensions 2 ft by x + 3ft and has an area of 8 ft^2.
Which of the following equations can be used to find the value of x for this situation?
Part B
Solve the equation for x
x=

Answer 1

[AI-generated answer — Bot GPT 3.5]

Part A:

The equation that can be used to find the value of x for this situation is:

(2)(x + 3) = 8

Part B:

To solve the equation for x, we can start by expanding the equation:

2x + 6 = 8

Next, we can subtract 6 from both sides of the equation:

2x = 2

Finally, we can divide both sides of the equation by 2 to solve for x:

x = 1

Answer 2

Six times a number decreased by ten is eight. Find the number

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the number, we can set up the equation:

6x - 10 = 8

Next, we can add 10 to both sides of the equation:

6x = 18

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

x = 3

Therefore, the number is 3.

Answer 4

Aniyah goes to the store and spents $22. She spends $9 on paper towels and she buys 2 frozen meals that have the same cost.

Part A
Which of the following sequences of step can be used to find the cost of each frozen meal?

Part B Which of the following shows the algebraic steps used to solve an equation to determine the cost of each frozen meal?

Answer 5

[AI-generated answer — Bot GPT 3.5]

Part A:

One possible sequence of steps to find the cost of each frozen meal could be:

1. Subtract the amount spent on paper towels from the total amount spent at the store: $22 - $9 = $13
2. Divide the remaining amount equally between the two frozen meals: $13 / 2 = $6.50

Part B:
The following shows the algebraic steps used to solve an equation to determine the cost of each frozen meal:

Let x be the cost of each frozen meal.

Equation: 2x = 13

Explanation: Since Aniyah spent $13 on two frozen meals, we can represent the cost per meal as x. Since she bought two meals, the total cost would be 2x. The equation 2x = 13 represents this scenario.

To solve the equation, we divide both sides by 2:

2x / 2 = 13 / 2

x = 6.50

Therefore, the cost of each frozen meal is $6.50.

Answer 6

Can you show the steps

Answer 7

[AI-generated answer — Bot GPT 3.5]

Certainly! Here are the steps in solving the equation to determine the cost of each frozen meal:

1. Start with the equation: 2x = 13

2. Divide both sides of the equation by 2 to isolate the variable x:

(2x) / 2 = 13 / 2

x = 13 / 2

3. Simplify the right side of the equation:

x = 6.5

Therefore, the cost of each frozen meal is $6.50.