Jackie runs and dances for a total of 55 minutes every day. She dances 25 minutes more than she runs.

Part A: Write a pair of linear equations to show the relationship between the number of minutes Jackie runs (x) and the number of minutes she dances (y) every day.

Part B: How much time does Jackie spend running every day?

Part C: Is it possible for Jackie to have spent 45 minutes dancing every day? Explain your reasoning.

Part A: The pair of linear equations is

x + y = 55

y = x + 25

Part B: Jackie spends 15 minutes running every day

Part C: It is impossible for Jackie to have spent 45 minutes dancing if she runs and dances for a total of exactly 55  minutes and dances for 25 minutes longer than she runs

Step-by-step explanation:

The given:

Jackie runs and dances for a total of 55 minutes every day

She dances for 25 minutes longer than she runs

Jackie runs for x minutes

She dances for y minutes every day

∵ Jackie runs and dances for a total of 55 minutes every day

∵ Jackie runs for x minutes and dance for y minutes every day

- Add x and y, then equate the sum by 55

∴ x + y = 55 ⇒ (1)

∵ She dances for 25 minutes longer than she runs

- Equate y by the sum of x and 25

∴ y = x + 25 ⇒ (2)

Part A: The pair of linear equations is

x + y = 55

y = x + 25

Let us solve the system of equations

Substitute y in equation (1) by equation (2)

∴ x + x + 25 = 55

- Add the like terms in the left hand side

∴ 2 x + 25 = 55

- Subtract 25 from both sides

∴ 2 x = 30

- Divide both sides by 2

∴ x = 15

Part B: Jackie spends 15 minutes running every day

Substitute the value of x in equation (20 to find y

∵ y = 15 + 25

∴ y = 40

∴ Jackie spends 40 minutes dancing every day

Jackie can not dance for 45 minutes if she runs and dances for a total of exactly 55  minutes and dances for 25 minutes longer than she runs because 45 - 25 = 20 so she runs for 20 minutes and 45 + 20 = 65 minutes not 55

∴ it is impossible

Part C: It is impossible for Jackie to have spent 45 minutes dancing if she runs and dances for a total of exactly 55  minutes and dances for 25 minutes longer than she runs

PLEASE ADD ME AS BRAINLIEST!!!

answer:

Part A: Write a pair of linear equations to show the relationship between the number of minutes Jackie runs (x) and the number of minutes she dances (y) every day.

Step-by-step explanation:

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.