x/8 = (3(x + 4))/2
Which expression in the equation represents a product?
(1 point)
3(x + 4)
(3(x + 4))/2
x/8
2
17 answers
The expression in the equation that represents a product is \( 3(x + 4) \).
This is because a product is the result of multiplying two or more quantities together, and \( 3(x + 4) \) indicates that \( 3 \) is being multiplied by the quantity \( (x + 4) \).
Other options, like \( \frac{(3(x + 4))}{2} \), involve division and are not purely products, while \( \frac{x}{8} \) and \( 2 \) do not represent products either.
The expression in the equation that represents a product is 3(x + 4).
This expression involves the multiplication of 3 by the quantity \( (x + 4) \). The other options either involve division or do not represent multiplication.
To simplify the expression \(3(4^2 + 32 / 4 - 5)\), we need to focus on the part inside the parentheses, particularly \(32 / 4\).
This means the quotient that must be found to simplify the expression is:
32 / 4
After evaluating \(32 / 4\), we would proceed with the simplification of the entire expression.
To simplify the expression \(3(4^2 + 32 / 4 - 5)\), we need to evaluate the quotient \(32 / 4\).
So, the correct answer is:
32 / 4
Calculating \(32 / 4\) gives us \(8\), which will be used in the simplification of the expression inside the brackets.
To simplify the expression \(\frac{[15 + (-5)] + 6}{2}\) according to the order of operations (parentheses first, then addition/subtraction, and finally division), the first simplification takes place within the parentheses:
So, the result of the first simplification that needs to take place is:
10
After this step, the expression becomes \(\frac{[10 + 6]}{2}\).
In the expression \(\frac{[15 + (-5)] + 6}{2}\), the first simplification according to the order of operations occurs inside the innermost parentheses:
So, the result of the first simplification is:
10
After this first step, the expression would then simplify to \(\frac{[10 + 6]}{2}\).
To simplify the denominator of the expression \((4 + (-6) * 2)/(-(-3^2))\), we need to focus on the part \(-(-3^2)\).
Let's break it down step by step:
Calculate \(3^2\): \[ 3^2 = 9 \]
Apply the negative sign: \[ -3^2 = -9 \]
Apply the negative sign again: \[ -(-9) = 9 \]
Thus, the simplified denominator is 9.
Apologies for the confusion in my previous response. Let’s clarify the simplification of the denominator \(-(-3^2)\).
Calculate \(3^2\): \[ 3^2 = 9 \]
Apply the first negative sign: \[ -3^2 = -9 \]
Now apply the negative sign outside the parentheses: \[ -(-9) = 9 \]
Therefore, the correct step should be:
Now, let's clarify your point about negative signs. When there are negatives, the double negative indeed results in a positive. So the interpretation is correct that \(-(-9) = 9\).
The simplified denominator is 9.
Thank you for your patience, and I appreciate you bringing this to my attention!
Let's go through the calculation step by step carefully to clarify:
The expression we are evaluating is:
\[ -(-3^2) \]
Calculate \(3^2\): \[ 3^2 = 9 \]
Apply the first negative sign: \[ -3^2 = -9 \]
Now apply the negative sign outside: \[ -(-9) = 9 \]
However, I understand you might be referring to how you can represent it as a whole if parentheses were involved. In cases where someone might interpret the operation differently due to nested negatives, please clarify.
If the expression actually was misrepresented, such as within parentheses involving the negative:
If we were to reconsider \(-(-3^2)\) but only read as it is written and involve parentheses, like so:
Here’s another interpretation, if it was expressed differently, like:
\[ -(3^2) = -9 \]
Could you specify what exactly the correct expression structure should be if it's not clear from the earlier notation? With just \(-(-3^2)\) and the calculations shown earlier, it resolves into 9, but I'm open if using a different parenthetical arrangement changes the context you're looking for. Thank you!
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