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Jacob spends 60 minutes in the gym every day doing freehand exercises and running on the treadmill. He runs on the treadmill 30 minutes more 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 on doing freehand exercises? (3 points)

Part C: Is it possible for Jacob to have spent 40 minutes running on the treadmill? Explain your reasoning. (2 points)

(10 points)

Respuesta :

Jacob runs on the treadmill for 45 minutes and he spends doing free hand exercises for 15 minutes.

What is a solution to a system of equations?

For a solution to be the solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point.

Let x be the number of minutes Jacob runs on the treadmill and y be the number of minutes on free-hand exercise.

Since he spends 60 minutes,

x + y = 60    (1)

Also:

x = y + 30   (2)

From equation 1 and 2:

y + 30 + y = 60

2y = 30

y = 15.

x = y + 30

x = 15 + 30

x = 45

Therefore,

x = 45, y = 15

Jacob runs on the treadmill for 45 minutes and he spends doing free hand exercises for 15 minutes.

Learn more about finding the solution here:

https://brainly.com/question/26254258

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