Pam likes to practice dancing while preparing for a math tournament. she spends 80 minutes every day practicing dance and math. to her concentrate better on math, she spends 20 minutes more dancing than doing math. part a: write a pair of linear equations to show the relationship between the number of minutes pam practices math every day (x) and the number of minutes she practices dances every day (y). (5 points) part b: how much time does pam spend on practicing math every day? (3 points) part c: is it possible for pam to have spent 60 minutes practicing dance every day? explain your reasoning. (2 points)

d = dance

m = math

  part a: 1st equation: m + d = 80

                          2nd equation: d = m+20

part b:

      m +d = 80

m + m+20 = 80

2m +20 = 80

2m = 60

m = 60/2 = 30

  she spends 30 minutes on math and 50 minutes on dance

part c: if she spent 60 minutes on dance then she would spend 20 minutes on math, and that would mean she spent 40 more minutes on dance, not 20 minutes, so it would not be possible.

21

step-by-step explanation:

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )