Apersonal 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?

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

Let y be the number of strength-training exercises per week.

Let x be the number of aerobic exercises per week.

For the beginner plan:

15y + 20x = 90 (1)

For the advanced plan:

20y + 30x = 130 (2)

Multiply both sides of (1) by 3 to get:

45y + 60x = 270 (3)

Multiply both sides of (2) by2 to get:

40y + 60x = 260 (4)

Subtracting (4) from (3) we get:

5y = 10

y = 2

Plugging in the value of 2 for y in equation and solving, we find x = 3.

Therefore the correct statement is:

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

Step-by-step explanation:

answer: 40.95

step-by-step explanation:

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180