A fabric store sells silk and cotton and you have $40 to spend on fabric for a dress. Silk is $16 per yard, while cotton is $4 per yard. It will take 5.5 yards of fabric to make the dress. 1. Write a system of equations to represent this scenario
2. Graph the system of equations
3. How many solutions does this system have? If one solution determine what the solution is and what the solution represents
4. Show that the solution found on the graph is the same solution found by using algebraic method for solving systems of equations.

Gretchen is setting up for a banquet. she has 300 chairs and needs to distribute them evenly among t tables. how many chairs should she put at each table? write your answer as an expression.

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

Which of the points a(6, 2), b(0, 0), c(3, 2), d(−12, 8), e(−12, −8) belong to the graph of direct variation y= 2/3 x?