Show that in a group of 10 people (where any two people are either friends or enemies), there are either three mu- tual friends or four mutual enemies, and there are either three mutual enemies or four mutual friends.

Aregression was run to determine if there is a relationship between hours of tv watched per day (x) and number of situps a person can do (y). the results of the regression were: y=ax+b a=-0.662 b=30.418 r2=0.703921 r=-0.839

Two fire-lookout stations are 190 miles apart, with station a directly south of station b. both stations spot a fire. the bearing of the fire from station a is upper n 55 degrees upper e and the bearing of the fire from station b is upper s 60 degrees e. how far, to the nearest tenth of a mile, is the fire from each lookout station?

Fabian harvests 10 pounds of tomatoes from his garden. he needs 225 pounds to make a batch of soup. if he sets aside 2.8 pounds of tomatoes to make spaghetti sauce, how many batches of soup can fabian make?