Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

WORK NEEDS TO BE SHOWNTranslate the following "11 less than the quotient of a number, n, and 5 is 9." Then find the value of n.

Sagot :

The given statement is

"11 less than the quotient of a number, n, and 5 is 9."

To express this statement as an algebraic expression, we have to transform each part.

"a number" means the variable n.

"the quotient" means a fraction where n is the numerator and 5 is the denominator.

"is 9" means it's equal to 9.

"11 less" means we have to subtract 11 from the fraction.

Having said that, we express the following.

[tex]\frac{n}{5}-11=9[/tex]

Now, we solve for n

[tex]\begin{gathered} \frac{n}{5}=9+11 \\ \frac{n}{5}=20 \\ n=20\cdot5 \\ n=100 \end{gathered}[/tex]

Therefore, n is 100.

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.