The concession stand is selling hot dogs and hamburgers during a game. At halftime, they sold a total of 74 hot dogs and hamburgers and brought in $100.
How many of each item did they sell if hamburgers sold for $1.50 and hot dogs
sold for $1.25?

44 hotdogs

30 hamburgers

Step-by-step explanation:

b r a i n and p a p e r

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is