Question
pick which equation matches the most
1. Darius is 38 years old. in 4 years he will be 3 times as old as Gia. how old is Gia?:
2. i think of a number, multiply it by 3 and then add four to get 42. what number am i thinking of :
3. Lucia goes to the art store and spends $38 she buys a canvas for $20 and some new paints.if each paint cost $3, how many did she buy:
4. Chelsea owes her mom $38. she starts paying her mom back $4 per week.after some weeks she realizes she only owes her mom $2 more. how many weeks has she been paying her mom back?:
5. a rectangle has a length of 4 units and a width of x+3 units.if the area is 42, what is the value of x?:
a. 3x+4=42
b. 3x+20=38
c. 4x+2=38
d. 3(x+4) =42
e. 4(x+3)-=42
1. Darius is 38 years old. in 4 years he will be 3 times as old as Gia. how old is Gia?:
2. i think of a number, multiply it by 3 and then add four to get 42. what number am i thinking of :
3. Lucia goes to the art store and spends $38 she buys a canvas for $20 and some new paints.if each paint cost $3, how many did she buy:
4. Chelsea owes her mom $38. she starts paying her mom back $4 per week.after some weeks she realizes she only owes her mom $2 more. how many weeks has she been paying her mom back?:
5. a rectangle has a length of 4 units and a width of x+3 units.if the area is 42, what is the value of x?:
a. 3x+4=42
b. 3x+20=38
c. 4x+2=38
d. 3(x+4) =42
e. 4(x+3)-=42
Answers
Answer
can u pick for all of them?
Answer
just pick for all of them pleasee
Answered by
GPT-4o mini
Let's analyze each problem to determine which equation matches best.
1. **Darius is 38 years old. In 4 years he will be 3 times as old as Gia. How old is Gia?**
- In 4 years, Darius will be \(38 + 4 = 42\). Let Gia's age be \(g\). According to the problem, \(42 = 3g\). Thus, Gia's age is \(g = 14\). The equation can be written as \(3g = 42\), which simplifies to \(g = 14\).
2. **I think of a number, multiply it by 3 and then add four to get 42. What number am I thinking of?**
- Let the number be \(x\). The equation is \(3x + 4 = 42\) which simplifies to \(3x = 38\).
3. **Lucia goes to the art store and spends $38. She buys a canvas for $20 and some new paints. If each paint costs $3, how many did she buy?**
- Let the number of paints be \(p\). The equation is \(20 + 3p = 38\), which simplifies to \(3p = 18\) or \(p = 6\).
4. **Chelsea owes her mom $38. She starts paying her mom back $4 per week. After some weeks, she realizes she only owes her mom $2 more. How many weeks has she been paying her mom back?**
- Let the number of weeks be \(w\). Chelsea's debt decreases as \(4w\). The equation can be set up as \(38 - 4w = 2\), which simplifies to \(4w = 36\).
5. **A rectangle has a length of 4 units and a width of \(x + 3\) units. If the area is 42, what is the value of \(x\)?**
- The area of a rectangle is given by the product of length and width: \(4(x + 3) = 42\).
Now, let's match the equations:
- For problem 1: \(3g = 42\) (not listed).
- For problem 2: \(3x + 4 = 42\) (matches option b: \(3x + 20 = 38\) does not match).
- For problem 3: \(20 + 3p = 38\) (not listed).
- For problem 4: \(38 - 4w = 2\) (not listed).
- For problem 5: \(4(x + 3) = 42\) (matches option e: \(4(x + 3) = 42\) but using '–=' seems to be an error).
The choices of equations presented:
- a. 3x + 4 = 42 (correct for problem 2)
- b. 3x + 20 = 38 (not applicable)
- c. 4x + 2 = 38 (not applicable)
- d. 3(x + 4) = 42 (not applicable)
- e. 4(x + 3) = 42 (correct for problem 5, but seems to have a typo).
Based on the analysis, the correct matches are:
2 (3x + 4 = 42) from problem 2 and
5 (4(x + 3) = 42) from problem 5.
If we had to choose the best overall match, I would pick option **a** for problem 2 as most directly related.
1. **Darius is 38 years old. In 4 years he will be 3 times as old as Gia. How old is Gia?**
- In 4 years, Darius will be \(38 + 4 = 42\). Let Gia's age be \(g\). According to the problem, \(42 = 3g\). Thus, Gia's age is \(g = 14\). The equation can be written as \(3g = 42\), which simplifies to \(g = 14\).
2. **I think of a number, multiply it by 3 and then add four to get 42. What number am I thinking of?**
- Let the number be \(x\). The equation is \(3x + 4 = 42\) which simplifies to \(3x = 38\).
3. **Lucia goes to the art store and spends $38. She buys a canvas for $20 and some new paints. If each paint costs $3, how many did she buy?**
- Let the number of paints be \(p\). The equation is \(20 + 3p = 38\), which simplifies to \(3p = 18\) or \(p = 6\).
4. **Chelsea owes her mom $38. She starts paying her mom back $4 per week. After some weeks, she realizes she only owes her mom $2 more. How many weeks has she been paying her mom back?**
- Let the number of weeks be \(w\). Chelsea's debt decreases as \(4w\). The equation can be set up as \(38 - 4w = 2\), which simplifies to \(4w = 36\).
5. **A rectangle has a length of 4 units and a width of \(x + 3\) units. If the area is 42, what is the value of \(x\)?**
- The area of a rectangle is given by the product of length and width: \(4(x + 3) = 42\).
Now, let's match the equations:
- For problem 1: \(3g = 42\) (not listed).
- For problem 2: \(3x + 4 = 42\) (matches option b: \(3x + 20 = 38\) does not match).
- For problem 3: \(20 + 3p = 38\) (not listed).
- For problem 4: \(38 - 4w = 2\) (not listed).
- For problem 5: \(4(x + 3) = 42\) (matches option e: \(4(x + 3) = 42\) but using '–=' seems to be an error).
The choices of equations presented:
- a. 3x + 4 = 42 (correct for problem 2)
- b. 3x + 20 = 38 (not applicable)
- c. 4x + 2 = 38 (not applicable)
- d. 3(x + 4) = 42 (not applicable)
- e. 4(x + 3) = 42 (correct for problem 5, but seems to have a typo).
Based on the analysis, the correct matches are:
2 (3x + 4 = 42) from problem 2 and
5 (4(x + 3) = 42) from problem 5.
If we had to choose the best overall match, I would pick option **a** for problem 2 as most directly related.
Answered by
GPT-4o mini
Sure! Let's match each of the original problems with the provided equations:
1. **Problem:** Darius is 38 years old. In 4 years he will be 3 times as old as Gia. How old is Gia?
- **Equation:** This can be expressed as \( 38 + 4 = 3g \) or \( 42 = 3g \). None of the provided options match this directly.
- **Best Match:** **None** of the provided options.
2. **Problem:** I think of a number, multiply it by 3 and then add four to get 42. What number am I thinking of?
- **Equation:** \( 3x + 4 = 42 \).
- **Best Match:** **a. \( 3x + 4 = 42 \)**.
3. **Problem:** Lucia goes to the art store and spends $38. She buys a canvas for $20 and some new paints. If each paint costs $3, how many did she buy?
- **Equation:** The equation can be set up as \( 20 + 3p = 38 \), which simplifies to \( 3p = 18 \).
- **Best Match:** **None** of the provided options.
4. **Problem:** Chelsea owes her mom $38. She starts paying her mom back $4 per week. After some weeks she realizes she only owes her mom $2 more. How many weeks has she been paying her mom back?
- **Equation:** This can be expressed as \( 38 - 4w = 2 \) or \( 4w = 36 \).
- **Best Match:** **None** of the provided options.
5. **Problem:** A rectangle has a length of 4 units and a width of \( x + 3 \) units. If the area is 42, what is the value of \( x \)?
- **Equation:** The area is given by \( 4(x + 3) = 42 \).
- **Best Match:** **e. \( 4(x + 3) = 42 \)**.
### Summary of Matches:
1. Darius & Gia: **None**
2. Number problem: **a. \( 3x + 4 = 42 \)**
3. Lucia's paints: **None**
4. Chelsea's repayment: **None**
5. Rectangle area: **e. \( 4(x + 3) = 42 \)**
Let me know if you need any further clarification!
1. **Problem:** Darius is 38 years old. In 4 years he will be 3 times as old as Gia. How old is Gia?
- **Equation:** This can be expressed as \( 38 + 4 = 3g \) or \( 42 = 3g \). None of the provided options match this directly.
- **Best Match:** **None** of the provided options.
2. **Problem:** I think of a number, multiply it by 3 and then add four to get 42. What number am I thinking of?
- **Equation:** \( 3x + 4 = 42 \).
- **Best Match:** **a. \( 3x + 4 = 42 \)**.
3. **Problem:** Lucia goes to the art store and spends $38. She buys a canvas for $20 and some new paints. If each paint costs $3, how many did she buy?
- **Equation:** The equation can be set up as \( 20 + 3p = 38 \), which simplifies to \( 3p = 18 \).
- **Best Match:** **None** of the provided options.
4. **Problem:** Chelsea owes her mom $38. She starts paying her mom back $4 per week. After some weeks she realizes she only owes her mom $2 more. How many weeks has she been paying her mom back?
- **Equation:** This can be expressed as \( 38 - 4w = 2 \) or \( 4w = 36 \).
- **Best Match:** **None** of the provided options.
5. **Problem:** A rectangle has a length of 4 units and a width of \( x + 3 \) units. If the area is 42, what is the value of \( x \)?
- **Equation:** The area is given by \( 4(x + 3) = 42 \).
- **Best Match:** **e. \( 4(x + 3) = 42 \)**.
### Summary of Matches:
1. Darius & Gia: **None**
2. Number problem: **a. \( 3x + 4 = 42 \)**
3. Lucia's paints: **None**
4. Chelsea's repayment: **None**
5. Rectangle area: **e. \( 4(x + 3) = 42 \)**
Let me know if you need any further clarification!
Answered by
GPT-4o mini
Sure! Here’s the direct matching for all the problems with the provided options:
1. **Darius is 38 years old. In 4 years he will be 3 times as old as Gia. How old is Gia?**
- **Best Match:** **None**
2. **I think of a number, multiply it by 3 and then add four to get 42. What number am I thinking of?**
- **Best Match:** **a. \( 3x + 4 = 42 \)**
3. **Lucia goes to the art store and spends $38. She buys a canvas for $20 and some new paints. If each paint costs $3, how many did she buy?**
- **Best Match:** **None**
4. **Chelsea owes her mom $38. She starts paying her mom back $4 per week. After some weeks she realizes she only owes her mom $2 more. How many weeks has she been paying her mom back?**
- **Best Match:** **None**
5. **A rectangle has a length of 4 units and a width of \(x + 3\) units. If the area is 42, what is the value of \(x\)?**
- **Best Match:** **e. \( 4(x + 3) = 42 \)**
### Final Matches:
1. **None**
2. **a. \(3x + 4 = 42\)**
3. **None**
4. **None**
5. **e. \(4(x + 3) = 42\)**
Thank you for your patience! If you have further questions or need any additional assistance, feel free to ask!
1. **Darius is 38 years old. In 4 years he will be 3 times as old as Gia. How old is Gia?**
- **Best Match:** **None**
2. **I think of a number, multiply it by 3 and then add four to get 42. What number am I thinking of?**
- **Best Match:** **a. \( 3x + 4 = 42 \)**
3. **Lucia goes to the art store and spends $38. She buys a canvas for $20 and some new paints. If each paint costs $3, how many did she buy?**
- **Best Match:** **None**
4. **Chelsea owes her mom $38. She starts paying her mom back $4 per week. After some weeks she realizes she only owes her mom $2 more. How many weeks has she been paying her mom back?**
- **Best Match:** **None**
5. **A rectangle has a length of 4 units and a width of \(x + 3\) units. If the area is 42, what is the value of \(x\)?**
- **Best Match:** **e. \( 4(x + 3) = 42 \)**
### Final Matches:
1. **None**
2. **a. \(3x + 4 = 42\)**
3. **None**
4. **None**
5. **e. \(4(x + 3) = 42\)**
Thank you for your patience! If you have further questions or need any additional assistance, feel free to ask!
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