A piece of duct measures 24 inches. When pieces are fitted together, 1 ½ inches is lost connecting each successive length of duct. On the job 7 and ½ pieces of ducting are used. What, in inches is the total length of the finished duct? Group of answer choices

Ablock of wood is a cube whose side is x in. long. you cut off a 1-inch thick piece from the entire right side. then you cut off a 3-inch thick piece from the entire top of the remaining shape. the volume of the remaining block is 2,002 in3. what are the dimensions of the original block of wood?

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

45% of the trees in a park are apple trees. there are 27 apple trees in the park. how many trees are in the park in all?