Pregunta
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1)) A 5 -foot piece of aluminum wire costs \( \$ 34.20 \). What is the price per inch?

Ask by Peters Dickson. in the United States
Mar 21,2025

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The price per inch of the aluminum wire is $0.57.

Solución

To find the price per inch of the aluminum wire, we need to calculate the cost per inch. Given: - Length of the aluminum wire = 5 feet - Cost of the aluminum wire = $34.20 First, we need to convert the length from feet to inches. Since 1 foot is equal to 12 inches, we can calculate the length in inches as follows: Length in inches = 5 feet * 12 inches/foot = 60 inches Now, we can calculate the price per inch by dividing the cost by the length in inches: Price per inch = Cost / Length in inches Substitute the values into the formula: Price per inch = $34.20 / 60 inches Calculate the price per inch. Calculate the value by following steps: - step0: Calculate: \(\frac{34.2}{60}\) - step1: Convert the expressions: \(\frac{\frac{171}{5}}{60}\) - step2: Multiply by the reciprocal: \(\frac{171}{5}\times \frac{1}{60}\) - step3: Reduce the numbers: \(\frac{57}{5}\times \frac{1}{20}\) - step4: Multiply the fractions: \(\frac{57}{5\times 20}\) - step5: Multiply: \(\frac{57}{100}\) The price per inch of the aluminum wire is $0.57.

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To find the price per inch, we first convert the total length of the wire from feet to inches. Since there are 12 inches in a foot, a 5-foot piece is \( 5 \times 12 = 60 \) inches. Now, we can calculate the price per inch by dividing the total cost by the total length in inches: \( \frac{34.20}{60} = 0.57 \). So, the price per inch of aluminum wire is approximately \( \$ 0.57 \). To make this a bit more fun, did you know that aluminum was first smelted in the early 19th century? It was so rare and precious that it was once more valuable than gold! Imagine using aluminum in jewelry instead of its more common application today; you would've been considered quite the trendsetter! Another interesting tidbit: when it comes to purchasing wire or similar materials, always check local hardware stores or online marketplaces. Prices can fluctuate based on demand or proximity to manufacturing sources. Sometimes buying in bulk or during sales can save you even more! Plus, learning how to calculate value per unit is a useful skill for all sorts of shopping adventures!

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