Question

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

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

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 $\frac{1}{2} (n+4)$.

Quotient of five and the number can be written as $\frac{5}{n}$.

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:

$\frac{1}{2} (n+4)=\frac{5}{n}-3$

So, b is the correct choice.