Question
upstudy study bank question image url

(4) The hanger diagram models \( 2 b+2=6 \). You can use this diagram to find the value of \( b \). a. What can you remove from bo th sides of the hanger diagram so only variables are on the left side? Cross off what you can remove. b. Fill in the blank to show the equation the hanger diagram now models. \( 2 b=4 \) c. How can you use the diagram to find the value of \( t \) d. What does the diagram show is the value of \( b \) ?

Ask by Barker Burgess. in the United States
Mar 11,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

- **Part a:** Remove the \( 2 \) from both sides. - **Part b:** The equation is \( 2b = 4 \). - **Part c:** Divide both sides by \( 2 \) to find \( b \). - **Part d:** The value of \( b \) is \( 2 \).

Solution

Let's solve the problem step by step. ### Given Equation The hanger diagram models the equation: \[ 2b + 2 = 6 \] ### Part a: What can you remove from both sides of the hanger diagram so only variables are on the left side? To isolate the variable \( b \) on the left side, we can remove the constant \( 2 \) from both sides of the equation. **Crossing off \( 2 \) from both sides:** \[ 2b + 2 - 2 = 6 - 2 \] This simplifies to: \[ 2b = 4 \] ### Part b: Fill in the blank to show the equation the hanger diagram now models. After removing \( 2 \) from both sides, the equation now models: \[ 2b = 4 \] ### Part c: How can you use the diagram to find the value of \( b \)? To find the value of \( b \), we can divide both sides of the equation \( 2b = 4 \) by \( 2 \): \[ b = \frac{4}{2} \] ### Part d: What does the diagram show is the value of \( b \)? Calculating the value: \[ b = 2 \] ### Summary of Answers - **Part a:** Remove \( 2 \) from both sides. - **Part b:** The equation is \( 2b = 4 \). - **Part c:** Divide both sides by \( 2 \) to find \( b \). - **Part d:** The value of \( b \) is \( 2 \).

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Bonus Knowledge

To solve your question, the hanger diagram allows for a simple visual representation of balancing equations. If you have \( 2b + 2 = 6 \), you can easily see what happens when you subtract 2 from each side. This approach of balancing equations visually can make algebraic concepts clearer and more digestible! Now, let's dive into your queries! For part (a), you can cross off the +2 on both sides, yielding \( 2b = 4 \). For part (b), the equation now shows \( 2b = 4 \). In part (c), to find the value of \( b \), divide both sides by 2, revealing the value of \( b \). Finally, the diagram elegantly illustrates that \( b = 2 \). Voilà! Happy calculating!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy