Amir is putting beads on a string. He plans on starting with 8 round beads, then 24 square beads, then 48 round beads, and then p square beads (where p > 0). At some point after he has put on n beads (where n > 0), he realizes that on his string there are twice as many beads of one shape than there are of the other shape. Determine the maximum and minimum values of p that result in exactly 5 possible values of n.

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.