The top of a table has dimensions 2 ft by x + 3ft and has an area of 8ft, Which of the following equations can be used to find the value of x in this situation?

Answer 1

To find the value of x, we need to set up an equation using the given information.

The area of the table is given as 8ft. The equation for the area of a rectangle is length times width. In this case, the length is 2ft and the width is x + 3ft.

So the equation for the area is:
2ft * (x + 3ft) = 8ft

Simplifying this equation, we get:
2x + 6ft = 8ft

Subtracting 6ft from both sides, we get:
2x = 2ft

Dividing both sides by 2ft, we get:
x = 1ft

Therefore, the equation that can be used to find the value of x in this situation is:
2x + 6ft = 8ft

Answer 2

Responses
A. 2x + 3 = 8
B. 2( x + 3) = 8
C. 2x + 5 + = 8
D. 2( 2x + 3) = 8

Answer 3

The correct equation to find the value of x in this situation is:

B. 2( x + 3) = 8

Answer 4

Drag the appropriate tiles in order to show the steps for solving the equation 2x + 12 = 30

Answer 5

The equation provided is 2x + 12 = 30.

To solve this equation, we need to isolate the variable x.

The goal is to have x on one side of the equation and constants on the other side.

The steps to solve the equation are as follows:

1. First, we need to get rid of the constant term of 12 on the left side of the equation. To do this, we can subtract 12 from both sides of the equation.

2x + 12 - 12 = 30 - 12

This simplifies to:

2x = 18

2. Next, we need to isolate the variable x. To do this, we can divide both sides of the equation by the coefficient of x, which is 2.

(2x)/2 = 18/2

This simplifies to:

x = 9

Thus, the solution to the equation 2x + 12 = 30 is x = 9.

Answer 6

Whats the third step?

Answer 7

Apologies for the oversight. Let's continue with the third step:

3. Divide both sides of the equation by the coefficient of x, which is 2, to isolate the variable x.

(2x)/2 = 18/2

This simplifies to:

x = 9

Therefore, the third step is to divide both sides of the equation by 2 to solve for x.