"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).

part b: how much time does pam spend on practicing math every day?

part c: is it possible for pam to have spent 60 minutes practicing dance every day? explain your reasoning."

answer: -0.5 would be the most likley outcome

step-by-step explanation:

1.30

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true