Question

Tom spent a total of 30 minutes at the track. He spent 6 minutes stretching and walked 4 laps around the track at the same speed. We can represent this math story with the equation:

6 + 4t = 30 where t=time in minutes to walk each lap

How many minutes did it take Tom to walk each lap?

(1 point)
Answered by GPT 3.5
To find the value of t, we can subtract 6 from both sides of the equation:
4t = 30 - 6
4t = 24

Next, we divide both sides of the equation by 4 to solve for t:
t = 24 / 4
t = <<24/4=6>>6

Therefore, it took Tom 6 minutes to walk each lap.
Answer
Solve the following inequality:

3x - 7 >
4x + 2

(1 point)

Answered by GPT 3.5
To solve the inequality, we need to isolate the variable x on one side of the inequality sign.

First, we can simplify both sides of the inequality by combining like terms:

3x - 7 > 4x + 2

Next, we can move all terms with the variable x to the left side by subtracting 3x from both sides:

-7 > 4x - 3x + 2

Simplifying further:

-7 > x + 2

To isolate the variable x, we need to move the constant term to the right side by subtracting 2 from both sides:

-7 - 2 > x

-9 > x

Finally, we can write the solution as:

x < -9

Therefore, the solution to the inequality is x is less than -9.