Emily purchased three different sizes of popcorn at the movies. The medium popcorn was twice as expensive as the small popcorn. The large was 3.00 more than the medium popcorn. She spent a total of 23.00 on popcorn. Write and solve and equation to determine the cost of the small popcorn

Angle that produces maximum distance

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)

Is the ordered pair (-10, 7) a solution to the equation y = 17 – x? yes or no