Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Topic Video
Question
100%
Solve the equation R=r+400(W-L)/T for W
![### Solving the Equation
In this lesson, we will solve the given equation for \( W \). The equation is:
\[ R = r + \frac{400(W - L)}{T} \]
To isolate \( W \), we'll follow these steps:
1. **Subtract \( r \) from both sides**:
\[ R - r = \frac{400(W - L)}{T} \]
2. **Multiply both sides by \( T \) to eliminate the denominator**:
\[ T(R - r) = 400(W - L) \]
3. **Divide both sides by 400**:
\[ \frac{T(R - r)}{400} = W - L \]
4. **Add \( L \) to both sides to solve for \( W \)**:
\[ W = \frac{T(R - r)}{400} + L \]
So, the solution for \( W \) is:
\[ W = \frac{T(R - r)}{400} + L \]
This represents the steps to isolate \( W \) in the given equation. Now, \( W \) is expressed in terms of \( R \), \( r \), \( T \), and \( L \).
### Summary
Given the equation \( R = r + \frac{400(W - L)}{T} \), we solved for \( W \) and derived the formula:
\[ W = \frac{T(R - r)}{400} + L \]
Use these steps whenever you need to solve for \( W \) in a similar type of equation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5182fb9-e553-48f5-bc28-4c1fb0205165%2F2f9b15dd-b40f-4341-b47d-29052dc1e3fd%2F5bjrbt6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Solving the Equation
In this lesson, we will solve the given equation for \( W \). The equation is:
\[ R = r + \frac{400(W - L)}{T} \]
To isolate \( W \), we'll follow these steps:
1. **Subtract \( r \) from both sides**:
\[ R - r = \frac{400(W - L)}{T} \]
2. **Multiply both sides by \( T \) to eliminate the denominator**:
\[ T(R - r) = 400(W - L) \]
3. **Divide both sides by 400**:
\[ \frac{T(R - r)}{400} = W - L \]
4. **Add \( L \) to both sides to solve for \( W \)**:
\[ W = \frac{T(R - r)}{400} + L \]
So, the solution for \( W \) is:
\[ W = \frac{T(R - r)}{400} + L \]
This represents the steps to isolate \( W \) in the given equation. Now, \( W \) is expressed in terms of \( R \), \( r \), \( T \), and \( L \).
### Summary
Given the equation \( R = r + \frac{400(W - L)}{T} \), we solved for \( W \) and derived the formula:
\[ W = \frac{T(R - r)}{400} + L \]
Use these steps whenever you need to solve for \( W \) in a similar type of equation.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Algebra and Trigonometry (6th Edition)](https://www.bartleby.com/isbn_cover_images/9780134463216/9780134463216_smallCoverImage.gif)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
![Contemporary Abstract Algebra](https://www.bartleby.com/isbn_cover_images/9781305657960/9781305657960_smallCoverImage.gif)
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Algebra and Trigonometry (6th Edition)](https://www.bartleby.com/isbn_cover_images/9780134463216/9780134463216_smallCoverImage.gif)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
![Contemporary Abstract Algebra](https://www.bartleby.com/isbn_cover_images/9781305657960/9781305657960_smallCoverImage.gif)
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Algebra And Trigonometry (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780135163078/9780135163078_smallCoverImage.gif)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
![Introduction to Linear Algebra, Fifth Edition](https://www.bartleby.com/isbn_cover_images/9780980232776/9780980232776_smallCoverImage.gif)
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
![College Algebra (Collegiate Math)](https://www.bartleby.com/isbn_cover_images/9780077836344/9780077836344_smallCoverImage.gif)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education