Nick works two jobs to pay for college. he tutors for $15 per hour and also works as a bag boy for $8 per hour. due to his class and study schedule, nick is only able to work up to 20 hours per week but must earn at least $150 per week. if t represents the number of hours nick tutors and b represents the number of hours he works as a bag boy, which system of inequalities represents this scenario? a.) t + b greater than or equal to 20 15t + 8b = 150 b.) t + b less than or equal to 20 15t + 8b greater than or equal to 150 c.) t + b less than or equal to 20 15t + 8b less than or equal to 150 d.) none of the systems shown represent this scenario.

Solve this riddle: i am an odd number. i an less than 100. the some of my digit is 12. i am a multiple of 15. what number am i?

$5400 is? invested, part of it at 11? % and part of it at 8? %. for a certain? year, the total yield is ? $522.00. how much was invested at each? rate?

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)