Segment AB is 12 inches long. Points X and Y are selected on AB such that AX and BY are congruent, and the ratio of ZX to AY is 1:4. What is the length of BX? (Give your answer as an improper fraction or mixed number, NOT a decimal) 

Acompany manufactures large valves, packed in boxes. a shipment consists of 1500 valves packed in 75 boxes. each box has the outer dimensions 1.2 x 0.8 x 1.6 m and the inner dimensions 1.19 x 0.79 x 1.59 m. the boxes are loaded on a vehicle (truck + trailer). the available capacity in the vehicle combination is 140 m3. each valve has a volume of 0.06 m3. - calculate the load factor on the box level (%). - calculate the load factor on the vehicle level (%). - calculate the overall load factor (%).

Suppose a store sells an average of 80 cases of soda per day. assume that each case contains 24 cans of soda and that the store is open 10 hours per day. find the average number of soda that the store sells per hour.

What is the area of a triangle with vertices at (-3 3) (-3,2) and (1,2)?