Sales of 3-day tickets to playercon brought in $347,600. the combined code of one 3-day tickets and one 3-day children’s is $90. one-third more adult 3-day tickets were sold than adult 2-day tickets. one-fifth more 3-day children’s tickets were sold than 2-day children’s tickets. what was the cost of 3-day adult tickets and 3-day children’s tickets.

adult tickets = $1,650
children’s tickets = $4,950

Marcus needs to rewrite f(x) = x2 + 6x + 4 in vertex form.

(50 ) mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.

Technicians have installed a center pivot, circular irrigator for a farm that covers 25 acres. a.) how long is the irrigation boom (in feet) from the center pivot to its farthest extent? b.) if the irrigation boom makes 4 full revolutions in a day, how many miles does the end of the boom travel in 5 days?