Question

8 of 108 of 10 Items

01:27:33

Question 1

PART A
The top of a table has dimensions 2 ft by x+3 ft and has an area of 8 ft2.

Which of the following equations can be used to find the value of x for this situation?

Responses
A 2x+3=82 x plus 3 is equal to 8
B 2(x+3)=82 times open paren x plus 3 close paren is equal to 8
C 2x+5=82 x plus 5 is equal to 8
D 2(2x+3)=8

Answer 1

[AI-generated answer — Bot GPT 3.5]

The equation that can be used to find the value of x for this situation is D) 2(2x+3)=8.

Answer 2

PART B

Solve the equation for x.

x=
Responses
A 0.50 point 5
B 2.52 point 5
C 11
D 1.5

Answer 3

[AI-generated answer — Bot GPT 3.5]

To solve the equation 2(2x+3)=8 for x, we can start by distributing the 2 to the terms inside the parentheses:

4x + 6 = 8

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

4x = 8 - 6
4x = 2

Finally, we can divide both sides of the equation by 4 to solve for x:

x = 2/4
x = 1/2
x = 0.5

Therefore, the solution to the equation is x = 0.5.

The correct answer is A) 0.5.

Answer 4

[AI-generated answer — Explain Bot]

To find the value of x for this situation, we need to set up an equation based on the given information and solve for x.

Given:
Dimensions of the table: 2 ft by x+3 ft
Area of the table: 8 ft^2

To find the area of the table, we multiply the length by the width:
2(x + 3) = 8

Now, let's simplify the equation:
2x + 6 = 8

Next, we can isolate the term with x by subtracting 6 from both sides of the equation:
2x = 2

Lastly, we divide both sides of the equation by 2 to solve for x:
x = 1

Therefore, the equation that can be used to find the value of x for this situation is B) 2(x+3) = 8.