### Simplifying Algebraic Expressions**Problem Statement:**How many twenty-dollar bills would have a value of \$(60x - 40)? (Simplify your answer completely.)**Explanation:**To solve this problem, you need to determine the total value expressed by the algebraic expression $60x - 40$ dollars and then find how many twenty-dollar bills are equivalent to this amount. Here are the steps you can follow:1. **Simplify the Expression**: - Combine like terms in the expression $60x - 40$.2. **Value in Terms of Twenty-Dollar Bills**: - Divide the simplified expression by 20 (since each twenty-dollar bill is worth $20). - This division will give you the number of twenty-dollar bills that make up the given amount.**Solution**:1. Given expression: $60x - 40$ dollars2. To find how many twenty-dollar bills make up this value, divide this by 20: \[ \frac{60x - 40}{20} \]3. Simplify the fraction: \[ \frac{60x}{20} - \frac{40}{20} \]4. Perform the division: \[ 3x - 2 \] So, $3x - 2$ twenty-dollar bills are equivalent to the given expression $(60x - 40)$ dollars.**Conclusion**:The number of twenty-dollar bills that would have the value of $(60x - 40)$ dollars is $(3x - 2)$.

We need to find the number of bills which have the val

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How many twenty-dollar bills would have a value of $(60x – 40)?

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,...

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

### Simplifying Algebraic Expressions

**Problem Statement:**

How many twenty-dollar bills would have a value of \$(60x - 40)? (Simplify your answer completely.)

**Explanation:**

To solve this problem, you need to determine the total value expressed by the algebraic expression $60x - 40$ dollars and then find how many twenty-dollar bills are equivalent to this amount. Here are the steps you can follow:

1. **Simplify the Expression**:
- Combine like terms in the expression $60x - 40$.

2. **Value in Terms of Twenty-Dollar Bills**:
- Divide the simplified expression by 20 (since each twenty-dollar bill is worth $20).
- This division will give you the number of twenty-dollar bills that make up the given amount.

**Solution**:

1. Given expression: $60x - 40$ dollars
2. To find how many twenty-dollar bills make up this value, divide this by 20:

\[
\frac{60x - 40}{20}
\]

3. Simplify the fraction:

\[
\frac{60x}{20} - \frac{40}{20}
\]

4. Perform the division:

\[
3x - 2
\]

So, $3x - 2$ twenty-dollar bills are equivalent to the given expression $(60x - 40)$ dollars.

**Conclusion**:

The number of twenty-dollar bills that would have the value of $(60x - 40)$ dollars is $(3x - 2)$.

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