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, we can write the expression as:

$$ \frac{72}{n} + 4 $$

To find the value of $$ y $$, we need to determine which of the given options is correct. However, without additional information or context, we cannot determine the value of $$ y $$ based on the expression provided.

Moving on to the next part of the problem, we are asked to use the distributive property to create an equivalent expression to $$ 54 + 18x $$. The distributive property states that for any real numbers $$ a $$, $$ b $$, and $$ c $$, the following equation holds:

$$ a(b + c) = ab + ac $$

Applying the distributive property to $$ 54 + 18x $$, we get:

$$ 54 + 18x = 18x + 54 $$

Now, let's simplify the expression $$ 7y + 4x + 4 - 2x + 8 $$ by combining like terms:

$$ 7y + 4x + 4 - 2x + 8 = 7y + 2x + 12 $$

The coefficient of $$ x $$ in the simplified expression is 2, and the constant term is 12.
The expression representing 72 divided by $$ n $$ plus 4 is $$ \frac{72}{n} + 4 $$. Without additional information, the value of $$ y $$ cannot be determined. Using the distributive property on $$ 54 + 18x $$ gives $$ 18x + 54 $$. Simplifying $$ 7y + 4x + 4 - 2x + 8 $$ results in $$ 7y + 2x + 12 $$. The coefficient of $$ x $$ is 2, and the constant term is 12.

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