Amanda, Barney, Colin, Diana, and Erika are going to a baseball game. They have a total budget of $100.00 to spend. Each game ticket costs $17.00 and each drink costs $2.50. The inequality below relates x, the number of drinks the 5 friends could buy in all, with their ticket costs and budget. 5(17) + 2.50x ≤ 100. In your own words, tell what the 5 in the inequality represents.

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)

Evaluate this using ! 0.25^2 x 2.4 + 0.25 x 2.4^2 − 0.25 x 2.4 x 0.65

3. a sum of $2700 is to be given in the form of 63 prizes. if the prize is of either $100 or $25, find the number of prizes of each type.