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A personal trainer designs exercise plans based on a combination of strength-training and aerobic exercise. A beginner plan has 15 minutes per session of strength-training and 20 minutes per session of aerobic exercise for a total of 90 minutes of exercise in a week. An advanced plan has 20 minutes per session of strength-training and 30 minutes of aerobic exercise for a total of 130 minutes of exercise in a week.A personal trainer designs exercise plans based on a combination of strength-training and aerobic exercise. A beginner plan has 15 minutes per session of strength-training and 20 minutes per session of aerobic exercise for a total of 90 minutes of exercise in a week. An advanced plan has 20 minutes per session of strength-training and 30 minutes of aerobic exercise for a total of 130 minutes of exercise in a week.

Which statement describes when the plans are based on the same number of aerobic exercise sessions?

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Answer:

Step-by-step explanation:

Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.

Step-by-step explanation:

Let x represent the number of strength-training sessions and y represent the number of aerobic sessions per week.

For the beginner plan, we have

15x+20y = 90.  This is because 15 minutes of strength training (x) and 20 minutes of aerobic exercise (y) gives 90 minutes of exercise.

For the advanced plan, we have

20x+30y = 130.  This is because 20 minutes of strength training (x) and 30 minutes of aerobic exercise (y) gives 130 minutes of exercise.

This gives us the system

To solve this, we will make the coefficients of y the same.  To do this, we multiply the top equation by 3 and the bottom equation by 2:

Now to eliminate the y terms, we subtract the second equation from the first:

Divide both sides by 5:

5x/5 = 10/5

x = 2

Substitute this in the first equation:

15(2)+20y=90

30+20y = 90

Subtract 30 from each side:

30+20y-30 = 90-30

20y = 60

Divide both sides by 20:

20y/20 = 60/20

y = 3

Each plan uses 2 strength training sessions (x) and 3 aerobic sessions (y) each week.

jayilych4real

The statement which describes when the plans are based on the same number of aerobic exercise sessions is:

  • Each plan uses 2 strength training sessions (x) and 3 aerobic sessions (y) each week.

Exercise sessions

This refers to the period of time which is used to train the body for certain body movements.

We can see that because 15 mins of strength training is allocated, we would get the total time used in the plan is 2 training sessions and 3 aerobic sessions each week.

Read more about exercise sessions here:

https://brainly.com/question/7057354

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