There were 2 apples and 5 bananas in a basket. after additional apples and bananas were placed in the basket, the ratio of the number of apples to the number of bananas was \small \frac{1}{2}. how many apples were added?

Using elimination, what is -4x+2y=-12 4x+8y=-24

Which graph of a hyperbola represents the equation 16x^2-y^2=16

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)