Given a regular dodecahedron (a twelve-sided solid in which each face is a regular pentagon that is congruent with each of the other faces): if this solid is rolled on a surface, what is the probability that a specifically named face will be in contact with the surface?

What is the product? (x2+3y+7) [yy+1)

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

Alonso walked with his friend andy one day, and wanted to compare their speeds. alonso walked 3 miles in one hour, and andy walked 2 miles in 2 hours. complete the table to graph the relationship for each person.