Pam likes to practice dancing while preparing for a math tournament. She spends 80 minutes every day practicing dance and math. To help 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)

Step-by-step explanation:

Total time spent on practicing dance and math = 80 minutes.

She spends 20 minutes more dancing than doing math. So that;

A.  x ≤ 30 minutes

 ii. y ≥ 50 minutes

B. Since Pam spend 20 minutes more dancing than doing math, then;

x + y = 80

But,

y = x + 20

x + x + 20 = 80

2x = 80 - 20

2x = 60

x = 30 minutes

Thus, she spend 30 minutes practicing math every day.

C. Given the condition that she spends 20 minutes more dancing than doing math; yes, it is possible for Pam to have spent 60 minutes practicing dance every day if time spent on math is 20 minutes.

So that,

x + y = 80

20 + y = 80

y = 60 minutes

answer:

c) the x-coordinate of the center of the circle increases by 3