To sew a garment, a seamstress uses 5.7 centimeters of thread for every 7.6 centimeters of fabric. a) if the seamstress uses 4.2 centimeters of thread, how much fabric is involved? b) if the seamstress is working with 21.2 centimeters of fabric, how many centimeters of thread is needed? c) explain how you found your answers and show your work.

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 (%).