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:

Question

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)

Answer 1

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 2

Solve the following inequality:

3x - 7 >
4x + 2

(1 point)

Answer 3

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.