Make an equation of this and solve it: The theater performed a show last Saturday. Student tickets cost $5 each. Adult tickets cost $7 each. In all, 290 people attended the show and $1,790 was the total for all ticket sales. How many student and adult tickets were sold? Let x represent the number of student tickets and y adult tickets.

Steve wants to develop a way to find the total cost of any item including sales tax. the sales tax in his city is 6%. his friend jenna writes the expression x + 6x where x is the cost of the item. explain whether her expression is correct based on the situation.

Twice the sum of a number and 4 is equal to three times the difference of the number and 7. find the number.

Which situation can be modeled by the inequality 5 + 10w ≥ 45? a. you start with $5 and save $10 a week until you have at least $45. b. you start with 5 baseball cards and purchase 10 cards every week until you have at most 45 cards. c. you start with 5 water bottles and purchases cases of 10 water bottles each until you have a total of 45 water bottles. d. you spend $5 plus $10 per week until you have less than $45.