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A contractor bought 8.2ft^2 of sheet metal. She has used 2.3ft^2 so far and has 106.20 worth of sheet metal remaining The equation 8.2x-2.3x=106.2 represents how much sheet metal is remaining and the cost of the remaining amount.How much does sheet metal cost per square foot? Sheet metal costs square per square foot.

Pergunta

A contractor bought 8.2ft^2 of sheet metal. She has used 2.3ft^2 so far and has 106.20 worth of sheet metal remaining The equation 8.2x-2.3x=106.2 represents how
much sheet metal is remaining and the cost of the remaining amount.How much does sheet metal cost per square foot?
Sheet metal costs square  per square foot.

A contractor bought 8.2ft^2 of sheet metal. She has used 2.3ft^2 so far and has 106.20 worth of sheet metal remaining The equation 8.2x-2.3x=106.2 represents how much sheet metal is remaining and the cost of the remaining amount.How much does sheet metal cost per square foot? Sheet metal costs square per square foot.

Solução

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PaulaVeterano · Tutor por 9 anos

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Para resolver a equação e encontrar o custo por pés quadrados de metal de folha restante, primeiro precisamos simplificar a equação:<br /><br />\[ 8.2x - 2.3x = 106.2 \]<br /><br />Somando os termos semelhantes:<br /><br />\[ 5.9x = 106.2 \]<br /><br />Agora, vamos isolar \( x \) dividindo ambos os lados da equação por 5.9:<br /><br />\[ x = \frac{106.2}{5.9} \]<br /><br />Calculando o valor:<br /><br />\[ x \approx 18 \]<br /><br />Portanto, o custo por pés quadrados de metal de folha é aproximadamente $\$ 18$ por pés quadrados.
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