The school auditorium has 900 seats. the inequality x y < =900, with x representing adults and y representing children, can be solved to find the possible combinations of adults and children attending an event. which reason describes why the ordered pair (450, 450) must be included in the solution set of the inequality? a. the ordered pair is in the shaded region of the graph of the inequality. b. the context of the problem allows only integer solutions. c. the x-value is equal to the y-value. d. the ordered pair is on the boundary line of the graph of the inequality.

Write an expression that has three terms and simplifies to 4x - 7. identify the coefficient(s) and constant(s) in your expression

Why is it so easy to buy on impulse and overspend with a credit card? what could you do to counteract this tendency?

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)