PLEASE help 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. (5 points) Part B: How much time does Jackie spend running every day? (3 points) Part C: Is it possible for Jackie to have spent 45 minutes dancing every day? Explain your reasoning

for this case we have:

x: variable that represents the number of minutes jackie runs.

y: variable that represents the number of minutes jackie dances.

according to the data we have:

x + y = 55\\25 + x = y

to solve the system, we substitute the second equation in the first one:

x + 25 + x = 55\\2x = 55-25\\2x = 30\\x = \frac {30} {2}\\x = 15

so, jackie runs 15 minutes a day.

y = 25 + x\\y = 25 + 15\\y = 40

so, jackie dances 40 minutes a day.

it is not possible that jackie has spent 45 minutes dancing in one day. since he dedicates 55 minutes to both activities, he runs 15 minutes and the rest dances.

part a:

x + y = 55\\25 + x = y

part b:

jackie runs 15 minutes per day.

part c:

it's not possible.

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12