Marcus currently has $42 and plans to save an additional $5 each week to buy a pair of shoes. he made a table showing the total amount of money he will have saved for different weeks. number of weeks 0 2 5 8 total amount of money ($) 42 52 67 82 write an equation in standard form that represents the relationship between the number of weeks and the total amount of money marcus will have saved. a. −x+5y=42 b. x+5y=42 c. −5x+y=42 d. 5x+y=42

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)