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QuestionWhich equation matches: Half the sum of a number and 4 is 3 less than the quotient of 5 and the number? Options: 12n+4=5n−3\frac{1}{2} n+4=\frac{5}{n}-3 12(n+4)=5n−3\frac{1}{2}(n+4)=\frac{5}{n}-3 12n+4=3−5n\frac{1}{2} n+4=3-\frac{5}{n} 12(n+4)=3−5n\frac{1}{2}(n+4)=3-\frac{5}{n}

Studdy Solution

STEP 1

Assumptions1. n represents the unknown number in the sentence. . The operations in the sentence follow the order of operations (PEMDAS/BODMAS).
3. The sentence can be represented as an equation.

STEP 2

Let's break down the sentence into smaller parts to understand it better. The sentence says "One-half the sum of a number and four is three less than the quotient of five and the number."

STEP 3

The first part of the sentence, "One-half the sum of a number and four", can be represented as 12(n+)\frac{1}{2}(n+).

STEP 4

The second part of the sentence, "three less than the quotient of five and the number", can be represented as n−3\frac{}{n}-3.

STEP 5

Now, let's put these two parts together to form the equation. The word "is" in the sentence represents the equals sign (=) in the equation.

STEP 6

So, the equation that represents the sentence is 12(n+4)=5n−3\frac{1}{2}(n+4)=\frac{5}{n}-3.
The correct equation is 12(n+4)=5n−3\frac{1}{2}(n+4)=\frac{5}{n}-3.

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