You have made a substitution in order to solve a system of equations and now have an equation in one variable. Which of the following indicates that the original system represents a pair of parallel lines? Select one:

a.
x + 3 = x + 5

b.
x + 3 = 5

c.
2x + 3 = x + 5

d.
x + 3 = x + 3

Describe the possible echelon forms of the standard matrix for a linear transformation t where t: set of real numbers is onto.

Aswimming pool is a rectangle with semicircles on the end. the rectangle is 12 meters wide and 30 meters long. the diameter and width of the swimming pool are equal. sketch and label an overhead diagram of the swimming pool. find the area of the swimming pool floor.

Mason and christian go to the movie theater and purchase refreshments for their friends. mason spends a total of $45.75 on 3 bags of popcorn and 6 drinks. christian spends a total of $71.50 on 6 bags of popcorn and 4 drinks. write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. using these equations, determine and state the price of a drink, to the nearest cent.