A group of 80 students and 20 sponsors took a field trip to a local museum. for their first guided tour, students were given a choice of 1 of 3 art exhibits. of the 80 students, 1/3 chose modern, 1/5 chose American folk and 1/4 chose western. each student expressed a choice exactly 1 exhibit. how many of the students expressed no choice?

Zed is making a centerpiece for his dining room table by putting sand in a cube-shaped vase. the vase is 0.25 meters in length, width, and height. he bought 25 kg of sand. assume the density of dry sand is 1,602 kgm3. what is the volume of the sand that zed purchased? the volume of the sand is approximately m3. enter your answer as the number that correctly fills in the blank in the previous sentence. if necessary, round your answer to six decimal places, like so: 42.536475