Question
25r=80 ; 32 residents were surveyed. Start Fraction 2 over 5 End Fraction r equals 80 ; 32 residents were surveyed. 25r=80 ; 200 residents were surveyed. Start Fraction 2 over 5 End Fraction r equals 80 ; 200 residents were surveyed. 52r=80 ; 200 residents were surveyed. Start Fraction 5 over 2 End Fraction r equals 80 ; 200 residents were surveyed. 80r=25 ; 200 residents were surveyed.
Answers
GPT-4o mini
It looks like you're working with a set of equations that involve the variable \( r \) and the number of residents surveyed. Let's break down what you've provided and solve for \( r \) where applicable.
1. **Equation: 25r = 80**
\[
r = \frac{80}{25} = 3.2
\]
2. **Equation: \(\frac{2}{5} r = 80\)**
\[
r = 80 \times \frac{5}{2} = 200
\]
3. **Equation: 52r = 80**
\[
r = \frac{80}{52} = \frac{20}{13} \approx 1.54
\]
4. **Equation: \(\frac{5}{2} r = 80\)**
\[
r = 80 \times \frac{2}{5} = 32
\]
5. **Equation: 80r = 25**
\[
r = \frac{25}{80} = \frac{5}{16} = 0.3125
\]
In summary, here are the values of \( r \) for the given equations:
- From **25r = 80**, \( r = 3.2 \)
- From **\(\frac{2}{5} r = 80\)**, \( r = 200 \)
- From **52r = 80**, \( r = \frac{20}{13} \approx 1.54 \)
- From **\(\frac{5}{2} r = 80\)**, \( r = 32 \)
- From **80r = 25**, \( r = \frac{5}{16} = 0.3125 \)
If you need specific information regarding the residents surveyed or any additional computations, please let me know!
1. **Equation: 25r = 80**
\[
r = \frac{80}{25} = 3.2
\]
2. **Equation: \(\frac{2}{5} r = 80\)**
\[
r = 80 \times \frac{5}{2} = 200
\]
3. **Equation: 52r = 80**
\[
r = \frac{80}{52} = \frac{20}{13} \approx 1.54
\]
4. **Equation: \(\frac{5}{2} r = 80\)**
\[
r = 80 \times \frac{2}{5} = 32
\]
5. **Equation: 80r = 25**
\[
r = \frac{25}{80} = \frac{5}{16} = 0.3125
\]
In summary, here are the values of \( r \) for the given equations:
- From **25r = 80**, \( r = 3.2 \)
- From **\(\frac{2}{5} r = 80\)**, \( r = 200 \)
- From **52r = 80**, \( r = \frac{20}{13} \approx 1.54 \)
- From **\(\frac{5}{2} r = 80\)**, \( r = 32 \)
- From **80r = 25**, \( r = \frac{5}{16} = 0.3125 \)
If you need specific information regarding the residents surveyed or any additional computations, please let me know!
lol is loling
whats the final answer
GPT-4o mini
The final answers for the equations provided, concerning the variable \( r \), are:
1. For **25r = 80**:
\( r = 3.2 \)
2. For **\(\frac{2}{5} r = 80\)**:
\( r = 200 \)
3. For **52r = 80**:
\( r = \frac{20}{13} \approx 1.54 \)
4. For **\(\frac{5}{2} r = 80\)**:
\( r = 32 \)
5. For **80r = 25**:
\( r = \frac{5}{16} \approx 0.3125 \)
If you are looking for a single value as the "final answer," the final answers vary depending on the specific equation. Please clarify if you need a specific value or context for the results!
1. For **25r = 80**:
\( r = 3.2 \)
2. For **\(\frac{2}{5} r = 80\)**:
\( r = 200 \)
3. For **52r = 80**:
\( r = \frac{20}{13} \approx 1.54 \)
4. For **\(\frac{5}{2} r = 80\)**:
\( r = 32 \)
5. For **80r = 25**:
\( r = \frac{5}{16} \approx 0.3125 \)
If you are looking for a single value as the "final answer," the final answers vary depending on the specific equation. Please clarify if you need a specific value or context for the results!
lol is loling
25r=80 ; 32 residents were surveyed. Start Fraction 2 over 5 End Fraction r equals 80 ; 32 residents were surveyed. 25r=80 ; 200 residents were surveyed. Start Fraction 2 over 5 End Fraction r equals 80 ; 200 residents were surveyed. 52r=80 ; 200 residents were surveyed. Start Fraction 5 over 2 End Fraction r equals 80 ; 200 residents were surveyed. 80r=25 ; 200 residents were surveyed.
GPT-4o mini
It seems that you have multiple equations relating to the variable \( r \) and different instances of residents surveyed. To clarify, I'll provide solutions for each equation you've presented.
### Given Equations:
1. **Equation:** \( 25r = 80 \)
- **Solve for \( r \):**
\[
r = \frac{80}{25} = 3.2
\]
2. **Equation:** \( \frac{2}{5} r = 80 \)
- **Solve for \( r \):**
\[
r = 80 \times \frac{5}{2} = 200
\]
3. **Equation:** (This appears to be a repeat of the first) \( 25r = 80 \)
- **Solve for \( r \):**
\[
r = 3.2 \quad (\text{same as the first})
\]
4. **Equation:** (This appears to be a repeat of the second) \( \frac{2}{5} r = 80 \)
- **Solve for \( r \):**
\[
r = 200 \quad (\text{same as the second})
\]
5. **Equation:** \( 52r = 80 \)
- **Solve for \( r \):**
\[
r = \frac{80}{52} = \frac{20}{13} \approx 1.54
\]
6. **Equation:** \( \frac{5}{2} r = 80 \)
- **Solve for \( r \):**
\[
r = 80 \times \frac{2}{5} = 32
\]
7. **Equation:** \( 80r = 25 \)
- **Solve for \( r \):**
\[
r = \frac{25}{80} = \frac{5}{16} \approx 0.3125
\]
### Summary of Solutions:
- \( 25r = 80 \): \( r = 3.2 \)
- \( \frac{2}{5} r = 80 \): \( r = 200 \)
- \( 52r = 80 \): \( r = \frac{20}{13} \approx 1.54 \)
- \( \frac{5}{2} r = 80 \): \( r = 32 \)
- \( 80r = 25 \): \( r = \frac{5}{16} \approx 0.3125 \)
If you're looking for a single value or a specific interpretation based on the number of residents surveyed, please clarify, and I would be glad to assist further!
### Given Equations:
1. **Equation:** \( 25r = 80 \)
- **Solve for \( r \):**
\[
r = \frac{80}{25} = 3.2
\]
2. **Equation:** \( \frac{2}{5} r = 80 \)
- **Solve for \( r \):**
\[
r = 80 \times \frac{5}{2} = 200
\]
3. **Equation:** (This appears to be a repeat of the first) \( 25r = 80 \)
- **Solve for \( r \):**
\[
r = 3.2 \quad (\text{same as the first})
\]
4. **Equation:** (This appears to be a repeat of the second) \( \frac{2}{5} r = 80 \)
- **Solve for \( r \):**
\[
r = 200 \quad (\text{same as the second})
\]
5. **Equation:** \( 52r = 80 \)
- **Solve for \( r \):**
\[
r = \frac{80}{52} = \frac{20}{13} \approx 1.54
\]
6. **Equation:** \( \frac{5}{2} r = 80 \)
- **Solve for \( r \):**
\[
r = 80 \times \frac{2}{5} = 32
\]
7. **Equation:** \( 80r = 25 \)
- **Solve for \( r \):**
\[
r = \frac{25}{80} = \frac{5}{16} \approx 0.3125
\]
### Summary of Solutions:
- \( 25r = 80 \): \( r = 3.2 \)
- \( \frac{2}{5} r = 80 \): \( r = 200 \)
- \( 52r = 80 \): \( r = \frac{20}{13} \approx 1.54 \)
- \( \frac{5}{2} r = 80 \): \( r = 32 \)
- \( 80r = 25 \): \( r = \frac{5}{16} \approx 0.3125 \)
If you're looking for a single value or a specific interpretation based on the number of residents surveyed, please clarify, and I would be glad to assist further!
lol is loling
witch on is right choice 1 right one
GPT-4o mini
To determine the "right choice" among the equations provided, we can summarize the options you wrote earlier. I’ve noted recurring equations, so I'll clarify the unique cases and their results.
Here's a concise breakdown of the equations with their solutions:
1. **Equation:** \( 25r = 80 \)
**Solution:** \( r = 3.2 \)
2. **Equation:** \( \frac{2}{5} r = 80 \)
**Solution:** \( r = 200 \)
3. **Equation:** \( 52r = 80 \)
**Solution:** \( r = \frac{20}{13} \approx 1.54 \)
4. **Equation:** \( \frac{5}{2} r = 80 \)
**Solution:** \( r = 32 \)
5. **Equation:** \( 80r = 25 \)
**Solution:** \( r = \frac{5}{16} \approx 0.3125 \)
### Right Choice:
- The "right" choice ultimately depends on the context of your problem. If you are looking for the value of \( r \) that corresponds to a specific condition or scenario involving residents surveyed, please provide that context.
- If you are simply seeking a specific answer without further context, the equation \( \frac{2}{5} r = 80 \) yielding \( r = 200 \) is often a significant outcome, as it would suggest a scenario where a proportional approach leads to a large sample size.
If you need to choose one specific equation as correct for your scenario, please specify the context or criteria, and I'll gladly help finalize the choice!
Here's a concise breakdown of the equations with their solutions:
1. **Equation:** \( 25r = 80 \)
**Solution:** \( r = 3.2 \)
2. **Equation:** \( \frac{2}{5} r = 80 \)
**Solution:** \( r = 200 \)
3. **Equation:** \( 52r = 80 \)
**Solution:** \( r = \frac{20}{13} \approx 1.54 \)
4. **Equation:** \( \frac{5}{2} r = 80 \)
**Solution:** \( r = 32 \)
5. **Equation:** \( 80r = 25 \)
**Solution:** \( r = \frac{5}{16} \approx 0.3125 \)
### Right Choice:
- The "right" choice ultimately depends on the context of your problem. If you are looking for the value of \( r \) that corresponds to a specific condition or scenario involving residents surveyed, please provide that context.
- If you are simply seeking a specific answer without further context, the equation \( \frac{2}{5} r = 80 \) yielding \( r = 200 \) is often a significant outcome, as it would suggest a scenario where a proportional approach leads to a large sample size.
If you need to choose one specific equation as correct for your scenario, please specify the context or criteria, and I'll gladly help finalize the choice!