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).

Part B: How much time does Jacob spend on doing freehand exercises?

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

Part A.  

x + y = 60  

x = 30 + y

Part B. Jacob spends 15 doing freehand services and 45 minutes running on the treadmill .

Part C.  

It's not possible from the arithmetic perspective, because if x = 40, therefore:  

x + y ≠ 60

x ≠ 30 + y

Step-by-step explanation:  

1. Let's review the information given to us to answer the question correctly:

Time Jacob spends in the gym everyday = 60 minutes  

Time Jacob runs on the treadmill = 30 minutes longer than he does freehand exercises  

2. Write a pair of linear equations to show the relationship between the number of minutes Jacob does freehand exercises  and the number of  minutes he runs on the treadmill .

Let y to represent the time Jacob does freehand exercises  

Let x to represent the time Jacob runs on the treadmill  

x + y = 60  

x = 30 + y

3. How much time does Jacob spend doing freehand exercises?

Let's solve for x and y, this way:  

x + y = 60  

x = 30 + y  

x = 60 - y

x = 30 + y

60 - y = 30 + y

- y - y = 30 - 60

-2y = -30

y = -30/-2

y = 15  ⇒ x = 30 + 15 = 45

Jacob spends 15 doing freehand services and 45 minutes running on the treadmill

4. Is it possible for Jacob to have spent 40 minutes running on the treadmill?

It's not possible from the arithmetic perspective, because if x = 40, therefore:  

x + y ≠ 60  

x ≠ 30 + y

answer: what in the world is this

step-by-step explanation: