Sophie and elizabeth go to the movie theater and purchase refreshments for their friends. sophie spends a total of $72.50 on 5 drinks and 5 bags of popcorn. elizabeth spends a total of $163.50 on 15 drinks and 3 bags of popcorn. write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. using these equations, determine and state the price of a drink, to the nearest cent.

What is the value of the product (3-2i)(3+2i)?

Runners run around the school's football field. the cross country coach determines that the width of the field is seventy yards shorter than the length. part a write an expression that represents the perimeter of the football field. let x represent the length of the football field. include parentheses in your expression. next, write an equivalent expression that does not include parentheses. what property or properties did you use to simplify? explain. part b the cross country coach later determines that the length of the football field is 120 yards. all students must run five laps. using your answer from part a, determine the actual number of yards that each athlete must run in the tryouts. in order to make the team, students must complete the laps in 6 minutes. how quickly must they run each lap?

The parker family drove a total of 180 miles on their road trip. this distance is 1.5 times the distance they drove on the first day. how many miles did the parker family drive on the first day?