Amanda sews T-shirts and sweatshirts to earn money. It costs her $3 to make each T-shirt and $5 to make each sweatshirt. This month she has budgeted $150 for materials for the shirts. It takes Amanda 2 hours to sew a T-shirt and 1 hour to sew a sweatshirt, but because she is booked with other projects for the month she only has 50 hours to sew the shirts. Which system of inequalities represents this situation, where t represents the number of T-shirts and s represents the number of sweatshirts that Amanda can sew? {5t+3s≤150t+2s≤50 {5t+3s≤50t+2s≤150 {3t+5s≤502t+s≤150 {3t+5s≤1502t+s≤50

Cone w has a radius of 8 cm and a height of 5 cm. square pyramid x has the same base area and height as cone w. paul and manuel disagree on how the volumes of cone w and square pyramid x are related. examine their arguments. which statement explains whose argument is correct and why? paul manuel the volume of square pyramid x is equal to the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is three times the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is (area of base)(h) = (200.96)(5) = 1,004.8 cm3. paul's argument is correct; manuel used the incorrect formula to find the volume of square pyramid x. paul's argument is correct; manuel used the incorrect base area to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect formula to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect base area to find the volume of square pyramid x.