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)
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.
Solve the following inequality:
3x - 7 >
4x + 2
(1 point)
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.
To find the number of minutes it took Tom to walk each lap, we need to solve the equation 6 + 4t = 30 for t.
First, let's isolate the term with t by subtracting 6 from both sides of the equation:
4t = 30 - 6
Simplifying the right side of the equation:
4t = 24
Finally, divide both sides of the equation by 4 to solve for t:
t = 24 / 4
t = 6
Therefore, it took Tom 6 minutes to walk each lap.
To find the number of minutes it took Tom to walk each lap, we can solve the equation 6 + 4t = 30.
First, let's isolate the variable t by subtracting 6 from both sides of the equation:
4t = 30 - 6
4t = 24
Next, we can solve for t by dividing both sides of the equation by 4:
t = 24 / 4
t = 6
Therefore, it took Tom 6 minutes to walk each lap.