11. If 24 aircraft engines require a total of 336 spark plugs, we can divide the total number of spark plugs by the number of engines to find the average number of spark plugs per engine:
Average number of spark plugs per engine = Total number of spark plugs / Number of engines
Average number of spark plugs per engine = 336 plugs / 24 engines
Average number of spark plugs per engine = 14 plugs
Therefore, each aircraft engine has an average of 14 cylinders.
12. The parts bin has a capacity of 24 tons. To determine the number of aluminum castings weighing 130 lbs each that can be put in the bin, we need to divide the bin's capacity by the weight of each casting:
Number of castings = Bin capacity / Weight per casting
Number of castings = 24 tons / 130 lbs
Converting tons to pounds (1 ton = 2000 lbs), we have:
Number of castings = (24 tons * 2000 lbs/ton) / 130 lbs
Number of castings = 48000 lbs / 130 lbs
Number of castings = 369.23
Since the number of castings must be a whole number, we can round down to the nearest whole number. Therefore, the maximum number of aluminum castings that can be put in the bin is 369.
13. The tubing storage rack contains a total of 1037.5 feet of aluminum tubing, and each piece of tubing is 12.5 feet long. To find the number of pieces in the rack, we need to divide the total length by the length of each piece:
Number of pieces = Total length of tubing / Length of each piece
Number of pieces = 1037.5 feet / 12.5 feet
Number of pieces = 83 pieces
Therefore, there are 83 pieces of aluminum tubing in the rack.
14. The aluminum casting for an aircraft wing spar weighs 193 lbs before machining, and the machining process removes 26 lbs. To find the total finished weight of seven pieces, we need to subtract the weight removed during machining from the initial weight and then multiply by the number of pieces:
Total finished weight = (Initial weight - Weight removed) * Number of pieces
Total finished weight = (193 lbs - 26 lbs) * 7 pieces
Total finished weight = 167 lbs * 7 pieces
Total finished weight = 1169 lbs
Therefore, the total finished weight of seven pieces is 1169 lbs.
15. To find the least common denominator (LCD) of the given group of fractions: 1/12, 3/64, 9/48, 11/16, we need to determine the smallest common multiple of the denominators.
Denominators: 12, 64, 48, 16
Prime factorization:
12 = 2^2 * 3
64 = 2^6
48 = 2^4 * 3
16 = 2^4
To find the LCD, we take the highest power of each prime factor that appears in any denominator:
LCD = 2^6 * 3 = 64 * 3 = 192
Therefore, the least common denominator of the given group of fractions is 192.