Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50 a plus 3.75 b equals 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold? adult tickets

  168

Step-by-step explanation:

You are given one equation that can be used to solve this problem. The other equation you need is ...

  b = 82

Using this value in the given equation, you can find "a".

  10.50a +3.75b = 2071.50 . . . . . . . given

  10.50a +3.75·82 = 2071.50 . . . . . .using 82 for b

  10.50a +307.50 = 2071.50 . . . . . . evaluated

  10.50a = 1764 . . . . . . . subtract 307.50

  a = 168 . . . . . . . . . . . . . divide by 10.50

168 adult tickets were sold.

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2