Stacey and her friends visit the concession stand at a movie theater. the stand charges $2 for a bag of popcorn and $1 for a drink. the friends buy a total of 8 items for $11. write a system of equations to represent this situation. graph the system of linear equations. how many bags of popcorn and how many drinks did stacey and her friends buy?

Karl needs to build a stage that has an area of 72 square feet.the length of the stage should be longer than the width.what are the possible whole number measurements for the length and with of the stage complete the table with possible measurements of the stage

Given: m∠ adb = m∠cdb ad ≅ dc prove: m∠ bac = m∠bca lol

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.