Ashley has a new aquarium. The tank is in the shape of a rectangular prism, 84 in long, 36 in wide, and 48 in deep. She plans to raise fish and sell them to a local pet store. The pet store will inspect the aquarium to make sure that the fish are being kept in a healthful environment. One of the main concerns is that
each fish has enough water. Ashley looks up the amount of water needed for the species of fish she plans to raise. She finds the answer, but it is given in cubic
feet.

Solve this system of equations. 12x − 18y = 27 4x − 6y = 10

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.

What is the length of the segment, endpoints of which are intersections of parabolas y=x2? 11 4 x? 7 4 and y=? 7 8 x2+x+ 31 8 ?