which equation represents this sentence? one-half the sum of a number and four is three less than the quotient of five and the number. a.) 1/2n 4=3−5/n b.) 1/2(n 4)=5/n−3 c.) 1/2(n 4)=3−5/n d.) 1/2n 4=5/n−3

Respuesta :

a.) 1/2n 4=3−5/n b.) 1/2(n 4)=5/n−3 c.) 1/2(n 4)=3−5/n d.) 1/2n 4=5/n−3

Let's assume the number be n.

So, sum of number and four can be written as n+4.

Now one-half of n+4 will be [tex] \frac{1}{2} (n+4) [/tex].

Quotient of five and the number can be written as [tex] \frac{5}{n} [/tex].

Now three less \frac{5}{n} can be written as \frac{5}{n} -3.

So, one-half the sum of a number and four is three less than the quotient of five and the number can be converted into equation as follows:

[tex] \frac{1}{2} (n+4)=\frac{5}{n}-3 [/tex]

So, b is the correct choice.

The equation which represents the sentence as described is; 1/2(n+4) = 5/n -3

According to the question;

  • one-half the sum of a number and four; can be represented as; 1/2(n+4)

  • three less than the quotient of five and the number; can be represented as; 5/n -3

Consequently, since statement 1 and statement 2 are equal;

The equation which represents the sentence is;

  • 1/2(n+4) = 5/n -3

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