We design a sports field in the shape of a rectangle with two semi-circles attached to it. There is a track that will run along the perimeter (with two straight
pieces and two circular pieces). The track needs to be 400 meters long. Determine
the dimensions a, b that will maximize the area of the rectangular field inside the
track.

Solve the equation - 2(m -30) = -6m a-15 b-13 c-8 d8

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 (%).

Frank has a devised a formula for his catering business that calculates the number of meatballs he needs to prepare. the formula is m=4a+2c, where c=number of children; m=number of meatballs; a=number of adults. how many meatballs are required for a party of 10 adults and 5 children?