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2 years ago

Which expression is equivalent to 1/2x+(−7)−2 1/4x−(−2

Mathematics

1 answer:

Lynna [10]2 years ago

5 0

The equivalent expression to the given expression is $\mathbf{=-(\dfrac{7}{4}x+5)}$

<h3>What is an algebraic expression?</h3>

Algebraic expressions are mathematical expressions. They usually consist of one or more variables with their coefficients and arithmetic operators such as: (division, multiplication, addition, and subtraction).

From the given expression, we are to determine an expression that is equivalent to:

$=\dfrac{1}{2}x + (-7) -2 \dfrac{1}{4}x -(-2)$

To do this, we are going to simplify the above-given expression to its lowest term since we are not given any options to choose equivalent expressions from.

By doing so, we have:

$=\dfrac{1}{2}x -7 -\dfrac{9}{4}x +2$

$=\dfrac{1}{2}x -\dfrac{9}{4}x +2 -7$

$=\dfrac{1}{2}x -\dfrac{9}{4}x -5$

$=-\dfrac{7}{4}x-5$

$\mathbf{=-(\dfrac{7}{4}x+5)}$

Learn more about solving algebraic expressions here:

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Step-by-step explanation:

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3 years ago

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9514 1404 393

Answer:

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Step-by-step explanation:

The wording is ambiguous, as it often is when math expressions are described in English. We assume you intend ...

$\dfrac{3n+8}{n+7}=\dfrac{4}{3}\\\\3(3n+8)=4(n+7)\qquad\text{multiply by $3(n+7)$}\\\\9n+24=4n+28\qquad\text{eliminate parentheses}\\\\5n=4\qquad\text{subtract $4n+24$}\\\\\boxed{n=\dfrac{4}{5}}\qquad\text{divide by 5}$

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Hope this helps!

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3 years ago