Write an expression that represents 72 divided by \( n \) plus 4 . What is the value of \( y \) ? Circle the correct answer. \[ y=47 \quad y=53 \] Use the distributive property to create an equivalent expression to \( 54+18 x \) Simplify the expression. \[ 7 y+4 x+4-2 x+8 \] What is the coefficient of \( x \) ? What is the constant?
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To represent 72 divided by \( n \) plus 4, you can write the expression as \( \frac{72}{n} + 4 \). Now, when it comes to the value of \( y \), if you're looking at \( y=47 \) and \( y=53 \), the correct answer is not clear without additional context or conditions to determine which value applies. Using the distributive property on \( 54 + 18x \) gives you \( 18(x + 3) \) since \( 54 = 18 \times 3 \). Now, simplifying the expression \( 7y + 4x + 4 - 2x + 8 \) leads us to \( 7y + (4 - 2)x + (4 + 8) \), simplifying that gives \( 7y + 2x + 12 \). The coefficient of \( x \) is \( 2 \) and the constant is \( 12 \).
