Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 2: Problem 5

If \(5+n=9-\frac{1}{3} n\), what is the value of \(n\) ? A) 3 B) 4 C) 6 D) \(\frac{21}{2}\)

Short Answer

Expert verified
A) 3

Step by step solution

01

Add \(\frac{1}{3}n\) to both sides of the equation

To isolate the variable \(n\), we need to add \(\frac{1}{3}n\) to both sides of the equation. This will eliminate the term \(-\frac{1}{3}n\) from the right-hand side of the equation. \[5 + n + \frac{1}{3}n = 9 - \frac{1}{3}n + \frac{1}{3}n\]
02

Simplify the equation

Now we need to simplify the equation by combining the terms with the variable \(n\). \[\frac{1}{3}n + n = \frac{1}{3}n + \frac{3}{3}n = \frac{4}{3}n\] So, the simplified equation becomes: \[5 + \frac{4}{3}n = 9\]
03

Subtract 5 from both sides of the equation

Next, we need to subtract 5 from both sides of the equation to further isolate the variable \(n\). \[\frac{4}{3}n = 9 - 5\]
04

Simplify the equation again

Now we can simplify the right side of the equation: \[\frac{4}{3}n = 4\]
05

Divide by \(\frac{4}{3}\) to solve for \(n\)

Finally, we need to divide both sides of the equation by \(\frac{4}{3}\) to solve for the value of \(n\). \[n = \frac{4}{\frac{4}{3}}\]
06

Simplify the fraction to find the value of \(n\)

To simplify the fraction, multiply the numerator and the denominator by the reciprocal of the denominator: \[n = \frac{4}{1} \times \frac{3}{4}\] This simplifies to: \[n = 3\] So, the value of \(n\) is 3, which corresponds to choice A.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A) NO CHANGE B) whether she really had to go through with the performance. C) did she really have to go through with the performance? D) whether she really had to go through with the performance? On the day of the concert, the crowd numbered over 75,000 and reached from the Lincoln Memorial all the way to the Washington Monument. Despite her fears, Anderson went ahead with the concert, which included a patriotic song, two classical 20 songs; and several spirituals. Her performance was highly 21 acclaimed. She was praised for her rich and beautiful voice and for her powerful stand representing all those who faced racial discrimination. Not wanting to take attention away from Anderson, Eleanor Roosevelt chose not to be publicly affiliated with the concert and in fact did not attend it due to other obligations. However, the two remained friends throughout their lives. Anderson's performance made her an international celebrity, and she is hailed for her role in cutting down barriers for African American performers. Later, the DAR changed its rules and apologized, and Anderson did eventually perform at Constitution Hall. 22

A) NO CHANGE B) size C) quantity D) capacity

A) NO CHANGE B) Diouf former Director-General C) Diouf former Director-General, D) Diouf, former Director-General,

The writer wants to introduce one of the main ideas of the passage. Which choice best accomplishes this goal? A) NO CHANGE B) despite the fact that the organization would have earned money from the performance. C) even though Anderson had just completed a very successful European tour. D) which is something that unfortunately had happened to Anderson before.

The graph above represents the reaction rate, \(r\), at which an unfinished iron nail rusts in water during the first 10 days of an experiment, where \(d\) gives time measured in days. What was the total amount of rust produced from \(d=2\) to \(d=6\) ? A) \(0.8\) grams B) \(1.6\) grams C) \(2.4\) grams D) \(3.2\) grams
See all solutions

Recommended explanations on English Textbooks

Key Concepts in Language and Linguistics

Read Explanation

History of English Language

Read Explanation

Blog

Read Explanation

Multiple Choice Questions

Read Explanation

Textual Analysis

Read Explanation

Synthesis Essay

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free