6. The piece of aluminum angle was initially 30 feet long. One foot was cut from each end, so the remaining length is 30 feet - 1 foot - 1 foot = 28 feet.
The remaining 28-foot piece was cut into 3 pieces, two of which were one foot long each. Therefore, the length of the third remaining piece can be found by subtracting the lengths of the two one-foot pieces from the remaining length:
Length of the third piece = Remaining length - Length of first piece - Length of second piece
Length of the third piece = 28 feet - 1 foot - 1 foot = 26 feet
Therefore, the length of the third remaining piece is 26 feet.
7. In a nine-cylinder aircraft engine, each cylinder requires 2 spark plugs. Therefore, the total number of spark plugs needed for the engine is 9 cylinders * 2 plugs per cylinder = 18 spark plugs.
If each spark plug costs $1236, the total cost of the spark plugs can be calculated by multiplying the cost per plug by the total number of plugs:
Total cost of spark plugs = Cost per plug * Number of plugs
Total cost of spark plugs = $1236 * 18
Total cost of spark plugs = $22,248
Therefore, the total cost of the spark plugs for the nine-cylinder aircraft engine is $22,248.
8. The piece of aluminum is 3/4 inch wide and requires five 1/4 inch holes to be drilled in it. There must be 1/2 inch from the edge of the metal to the edge of the first and last hole, as well as 1/2 inch between the edge of each hole.
To calculate the total length of the aluminum piece, we need to consider the length of the metal between the holes and the spaces between them.
Length of metal between holes = 5 holes * 1/2 inch between each hole = 5/2 inch
Spaces between holes = (5 holes - 1) * 1/2 inch = 2 inch
Total length of the aluminum piece = Length of metal between holes + Spaces between holes
Total length of the aluminum piece = 5/2 inch + 2 inch = 9/2 inch + 4/2 inch = 13/2 inch
Therefore, the total length of the piece of aluminum is 13/2 inch or 6.5 inches.
9. The given bolt has a diameter of 3/4 inch and a length of 6 inches. The weight of each bolt is specified as 117 lbs. per hundred bolts.
To find the weight of 1200 bolts, we need to calculate the weight per bolt and then multiply it by the total number of bolts.
Weight per bolt = Weight per hundred bolts / 100
Weight per bolt = 117 lbs. / 100 = 1.17 lbs.
Total weight of 1200 bolts = Weight per bolt * Number of bolts
Total weight of 1200 bolts = 1.17 lbs. * 1200 = 1404 lbs.
Therefore, the total weight of 1200 bolts is 1404 lbs.
10. If 24 aircraft engines require a total of 336 spark plugs, we can calculate the average number of spark plugs per engine by dividing the total number of spark plugs by the number of engines:
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.