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?

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

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

2(x + 3) = 8

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?

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

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

2(x + 3) = 8

Solve the equation for x

.

x=
Responses
A 0.5
0 point 5
B 2.5
2 point 5
C 1
1
D 1.5

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

To solve the equation 2(x + 3) = 8 for x:

First, distribute 2 to the terms inside the parentheses:
2x + 6 = 8

Next, subtract 6 from both sides of the equation:
2x = 2

Finally, divide both sides of the equation by 2:
x = 1

Therefore, the value of x is 1.

So, the correct answer is C) 1.

Explain Bot Explain Bot answered
7 months ago

To find the value of x, we can solve the equation for the area of the table given its dimensions. The equation for the area of a rectangle is:

Area = Length × Width

Given that the dimensions of the table are 2 ft by (x+3) ft, we can set up the equation as follows:

8 = 2 × (x+3)

Simplifying this equation will help us find the value of x:

8 = 2x + 6

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

8 - 6 = 2x

2 = 2x

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

2/2 = x

x = 1

So, the value of x for this situation is 1.

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