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A heating and cooling specialist needs two pieces of duct to buy 450 and 4 1/5 ft in length there are two pieces in stock that are 5 foot long after these two links are cut what excess will be left in feet​?

1 Answer

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Final answer:

The heating and cooling specialist requires 454.2 feet of duct material in total, but there are only two 5-foot pieces in stock, resulting in a shortfall of 444.2 feet.

Step-by-step explanation:

The student asks a Mathematics question regarding a heating and cooling specialist needing two pieces of duct to buy with lengths of 450 feet and 4 1/5 feet. There are two pieces in stock that are 5 feet long each. We need to calculate the excess material after cutting these lengths from the stock pieces.

First, convert 4 1/5 feet to an improper fraction: 4 1/5 = (4 × 5 + 1)/5 = 21/5 feet. Now, sum the lengths: 450 feet + (21/5) feet = 450 feet + 4.2 feet = 454.2 feet needed in total.

Two pieces of 5 feet stock gives us 10 feet. After cutting off the needed 454.2 feet, this leaves us with:
10 feet - 454.2 feet = -444.2 feet. This is a negative number, indicating that the stock is insufficient by 444.2 feet.

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