John and maria are spending the afternoon hiking in the desert. they purchased 6 bottles of water for $9.00, two protein bars for $5.00, and some peanuts for $3.00 as a snack. suppose they star hiking at 11.30 a. m. and finish the hike at 3.45 p. m. what is the unit rate of money spent to hours hiked? show your work.

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).

Segment an is an altitude of right δabc with a right angle at a. if ab = 2, squared 5 in and nc = 1 in, find bn, an, ac.

(05.02)a farmer has decided to divide his land area in half in order to plant soy and corn. calculate the area of the entire area so he knows how much soil is needed. a parallelogram with a height of 6 yards and side length 9 yards. the height forms a triangle with the slanted side of the rhombus with a base of 2.5 yards. rhombus is split into a soy half and a corn half. each bag of soil covers 40 square yards. how many bags should the farmer purchase?