A concert promoter needs to make $43,600 from the sale of 1880 tickets. The promoter charges $20 for some tickets and $30 for the others. Let x represent the number of $20 tickets and y represent the number of $30 tickets.
(a) Write an equation that states that the sum of the tickets sold is 1880.

(b) Write a formula for how much money is received from the sale of $20 tickets?
$

(c) Write a formula for how much money is received from the sale of $30 tickets?
$

(d) Write an equation that states that the total amount received from the sale is $43,600.

(e) Solve the equations simultaneously to find how many tickets of each type must be sold to yield the $43,600.
x =
y =

What is the reflection image of (5,-3) across the line y = -x?

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).