Jacob spends 60 minutes in the gym every day doing freehand exercises and running on the treadmill. He runs on the treadmill for 30 minutes longer than he does freehand exercises.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Jacob does freehand
exercises (y) and the number of minutes he runs on the treadmill (X). (5 points)
Part B: How much time does Jacob spend doing freehand exercises? Show your work. (3 points)
Part C: Is it possible for Jacob to have spent 40 minutes running on the treadmill if he spends exactly 60 minutes total at
the gym and runs on the treadmill for 30 minutes longer than he does freehand exercises? Explain your reasoning. (2
points)

Part A. He exercised for 1.5 hours.

60 + 30 = 1.5 hours.

Part B. Jacob spends 15 minutes doing freehand exercise.

Part C. No, because he spent 1.5 hours altogether.

Part A:

x + y = 60

x = y + 30

Part B:

(y + 30) = y = 60

2y + 30 = 60

2y = 30

y = 15

Which means 15 minutes for freehand exercises.

Part C:

No, if he spends 40 minutes on the treadmill, he would've spent 10 minutes on freehand exercises. The total time would be 50 instead of 60.

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.