Question
Which statement is correct?
StartFraction 1 inch Over 2.54 centimeters EndFraction = StartFraction 7 inches Over 17.68 centimeters EndFraction
StartFraction 1 foot Over 12 inches EndFraction = StartFraction 7 feet Over 74 inches EndFraction
StartFraction 1 yard Over 36 inches EndFraction = StartFraction 7 yards Over 252 inches EndFraction
StartFraction 1 meter Over 3.28 feet EndFraction = StartFraction 7 meters Over 22.86 feet EndFraction
StartFraction 1 inch Over 2.54 centimeters EndFraction = StartFraction 7 inches Over 17.68 centimeters EndFraction
StartFraction 1 foot Over 12 inches EndFraction = StartFraction 7 feet Over 74 inches EndFraction
StartFraction 1 yard Over 36 inches EndFraction = StartFraction 7 yards Over 252 inches EndFraction
StartFraction 1 meter Over 3.28 feet EndFraction = StartFraction 7 meters Over 22.86 feet EndFraction
Answers
There are no human answers yet.
Answered by
GPT-4o mini
Let's evaluate each statement one by one.
1. **StartFraction 1 inch Over 2.54 centimeters EndFraction = StartFraction 7 inches Over 17.68 centimeters EndFraction**
- We know that 1 inch = 2.54 cm, so this fraction simplifies to \( \frac{1}{2.54} \).
- For the right side, \( 7 \text{ inches} \) converted to centimeters is \( 7 \times 2.54 = 17.68 \text{ cm} \), so this also simplifies to \( \frac{7}{17.68} \).
- This means both sides are equal: \( \frac{1}{2.54} = \frac{7}{17.68} \).
- **This statement is correct.**
2. **StartFraction 1 foot Over 12 inches EndFraction = StartFraction 7 feet Over 74 inches EndFraction**
- We know that 1 foot = 12 inches, so this fraction simplifies to \( \frac{1}{12} \).
- For the right side, \( 7 \text{ feet} \) in inches is \( 7 \times 12 = 84 \text{ inches} \), so this would simplify to \( \frac{7}{84} = \frac{1}{12} \).
- Both sides are equal: \( \frac{1}{12} = \frac{1}{12} \).
- **This statement is also correct.**
3. **StartFraction 1 yard Over 36 inches EndFraction = StartFraction 7 yards Over 252 inches EndFraction**
- We know that 1 yard = 36 inches, so this fraction simplifies to \( \frac{1}{36} \).
- For the right side, \( 7 \text{ yards} \) in inches is \( 7 \times 36 = 252 \text{ inches} \), so this would simplify to \( \frac{7}{252} = \frac{1}{36} \).
- Both sides are equal: \( \frac{1}{36} = \frac{1}{36} \).
- **This statement is correct as well.**
4. **StartFraction 1 meter Over 3.28 feet EndFraction = StartFraction 7 meters Over 22.86 feet EndFraction**
- We know that 1 meter is approximately 3.28 feet, so this fraction simplifies to \( \frac{1}{3.28} \).
- For the right side, \( 7 \text{ meters} \) in feet is \( 7 \times 3.28 = 22.96 \text{ feet} \) (not 22.86). Therefore, this becomes \( \frac{7}{22.96} \).
- Since \( \frac{1}{3.28} \neq \frac{7}{22.96} \),
- **This statement is incorrect.**
In conclusion, the correct statements are the first three:
- StartFraction 1 inch Over 2.54 centimeters EndFraction = StartFraction 7 inches Over 17.68 centimeters EndFraction (true)
- StartFraction 1 foot Over 12 inches EndFraction = StartFraction 7 feet Over 74 inches EndFraction (true)
- StartFraction 1 yard Over 36 inches EndFraction = StartFraction 7 yards Over 252 inches EndFraction (true)
- StartFraction 1 meter Over 3.28 feet EndFraction = StartFraction 7 meters Over 22.86 feet EndFraction (false)
1. **StartFraction 1 inch Over 2.54 centimeters EndFraction = StartFraction 7 inches Over 17.68 centimeters EndFraction**
- We know that 1 inch = 2.54 cm, so this fraction simplifies to \( \frac{1}{2.54} \).
- For the right side, \( 7 \text{ inches} \) converted to centimeters is \( 7 \times 2.54 = 17.68 \text{ cm} \), so this also simplifies to \( \frac{7}{17.68} \).
- This means both sides are equal: \( \frac{1}{2.54} = \frac{7}{17.68} \).
- **This statement is correct.**
2. **StartFraction 1 foot Over 12 inches EndFraction = StartFraction 7 feet Over 74 inches EndFraction**
- We know that 1 foot = 12 inches, so this fraction simplifies to \( \frac{1}{12} \).
- For the right side, \( 7 \text{ feet} \) in inches is \( 7 \times 12 = 84 \text{ inches} \), so this would simplify to \( \frac{7}{84} = \frac{1}{12} \).
- Both sides are equal: \( \frac{1}{12} = \frac{1}{12} \).
- **This statement is also correct.**
3. **StartFraction 1 yard Over 36 inches EndFraction = StartFraction 7 yards Over 252 inches EndFraction**
- We know that 1 yard = 36 inches, so this fraction simplifies to \( \frac{1}{36} \).
- For the right side, \( 7 \text{ yards} \) in inches is \( 7 \times 36 = 252 \text{ inches} \), so this would simplify to \( \frac{7}{252} = \frac{1}{36} \).
- Both sides are equal: \( \frac{1}{36} = \frac{1}{36} \).
- **This statement is correct as well.**
4. **StartFraction 1 meter Over 3.28 feet EndFraction = StartFraction 7 meters Over 22.86 feet EndFraction**
- We know that 1 meter is approximately 3.28 feet, so this fraction simplifies to \( \frac{1}{3.28} \).
- For the right side, \( 7 \text{ meters} \) in feet is \( 7 \times 3.28 = 22.96 \text{ feet} \) (not 22.86). Therefore, this becomes \( \frac{7}{22.96} \).
- Since \( \frac{1}{3.28} \neq \frac{7}{22.96} \),
- **This statement is incorrect.**
In conclusion, the correct statements are the first three:
- StartFraction 1 inch Over 2.54 centimeters EndFraction = StartFraction 7 inches Over 17.68 centimeters EndFraction (true)
- StartFraction 1 foot Over 12 inches EndFraction = StartFraction 7 feet Over 74 inches EndFraction (true)
- StartFraction 1 yard Over 36 inches EndFraction = StartFraction 7 yards Over 252 inches EndFraction (true)
- StartFraction 1 meter Over 3.28 feet EndFraction = StartFraction 7 meters Over 22.86 feet EndFraction (false)
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.