You work for a tile manufacturing company. The company has overstocked a certain set of tiles. There are three different tiles in this particular set. One is a large square tile, the second is a small square tile and the third is a rectangle. The length of the rectangle is the same length as one side of the large square. The width of the rectangle is the same size as one side of the small square. This happens to work out to be good news. A set of these tiles can be arranged into rectangular configurations to create nice tile patterns. Find all the rectangular configurations that can be made using 6 large squares and 4 small squares along with a certain number of rectangles. How many rectangles are needed to make a rectangular configuration? Explain how you know. Illustrate all the different configurations that can be created. Explain how you know that you have found all possible rectangular configurations

Aline has a slope of and a y-intercept of –2. what is the x-intercept of the line?

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.

Peter applied to an accounting firm and a consulting firm. he knows that 30% of similarly qualified applicants receive job offers from the accounting firm, while only 20% of similarly qualified applicants receive job offers from the consulting firm. assume that receiving an offer from one firm is independent of receiving an offer from the other. what is the probability that both firms offer peter a job?