For a particular event, 924 tickets were sold for a total of $2323. If students paid $2 per ticket and nonstudents paid $3 per ticket, how many student tickets were

Total number of student tickets sold were 449.

Step-by-step explanation:

Let the number of student tickets sold = a

and the number of non student tickets = b

Total number of tickets sold = 924

So, a + b = 924 (1)

Students ticket costs $2 per ticket and non student ticket costs $3 per ticket and total amount collected = $2323

Therefore, the equation will be,

2a + 3b = 2323 (2)

Multiply equation (1) by 3 and subtract from equation (2)

(2a + 3b) - 3(a + b) = 2323 - 2772

2a - 3a + 3b - 3b = -449

-a = -449

a = 449

From equation (1)

b = 924 - a

b = 924 - 449

b = 475

Therefore, total number of student tickets sold were 449.

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)