The community college fine arts department sold three kinds of tickets to its latest dance presentation. the adult tickets sold for $20, the student tickets for $12, and the child tickets for $10.the fine arts department was thrilled to have sold 350 tickets and brought in $4,650 in one night. the number of child tickets sold is the same as the number of adult tickets sold. how many of each type did the department sell?

adult=75

Students = 200

Children=75

Step-by-step explanation:

Let x= adult tickets, y=students, z=child

x+y+z =350

Since x=z

y+2z= 350 1

20x +12y + 10z = 4650

Since y=z

12y +30z = 4650 2

Using elimination method to solve eqn 1&2

Multiply eqn 1 by 12

12y + 24z = 4200

12y +30z = 4650

Subtract equ 2 from 1

-6z =-450

z=75, x = 75

y=350 -(75+75)

y= 200 tickets

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

1,8,15,22,29,36,43,50

step-by-step explanation: