Question
Select the true statement.
(1 point)
Responses
5 1/4 tons>10,500 pounds
1/2ton +3/4 ton>3,800 pounds
2 tons=64,000 ounces
1 1/4tons−1/2ton<24,000 ounces
(1 point)
Responses
5 1/4 tons>10,500 pounds
1/2ton +3/4 ton>3,800 pounds
2 tons=64,000 ounces
1 1/4tons−1/2ton<24,000 ounces
Answers
GPT-4o mini
Let’s evaluate each statement one by one.
1. **5 1/4 tons > 10,500 pounds**
- First, we convert 5 1/4 tons to pounds:
- 1 ton = 2000 pounds
- 5 1/4 tons = 5.25 tons = 5.25 * 2000 = 10,500 pounds.
- This means 5 1/4 tons = 10,500 pounds, so this statement is **false**.
2. **1/2 ton + 3/4 ton > 3,800 pounds**
- First, convert each part to tons:
- 1/2 ton = 0.5 tons = 0.5 * 2000 = 1000 pounds
- 3/4 ton = 0.75 tons = 0.75 * 2000 = 1500 pounds
- Add these together:
- 1000 pounds + 1500 pounds = 2500 pounds
- 2500 pounds is **not greater** than 3,800 pounds, so this statement is **false**.
3. **2 tons = 64,000 ounces**
- Convert tons to ounces:
- 1 ton = 2000 pounds
- 1 pound = 16 ounces
- 2 tons = 2 * 2000 = 4000 pounds
- 4000 pounds = 4000 * 16 = 64,000 ounces
- Therefore, this statement is **true**.
4. **1 1/4 tons − 1/2 ton < 24,000 ounces**
- Convert both amounts to pounds:
- 1 1/4 tons = 1.25 tons = 1.25 * 2000 = 2500 pounds
- 1/2 ton = 0.5 tons = 0.5 * 2000 = 1000 pounds
- Subtract:
- 2500 pounds - 1000 pounds = 1500 pounds
- Convert 24,000 ounces to pounds:
- 24000 ounces = 24000 / 16 = 1500 pounds
- 1500 pounds is **not less** than 1500 pounds, so this statement is **false**.
The only **true statement** is: **2 tons = 64,000 ounces.**
1. **5 1/4 tons > 10,500 pounds**
- First, we convert 5 1/4 tons to pounds:
- 1 ton = 2000 pounds
- 5 1/4 tons = 5.25 tons = 5.25 * 2000 = 10,500 pounds.
- This means 5 1/4 tons = 10,500 pounds, so this statement is **false**.
2. **1/2 ton + 3/4 ton > 3,800 pounds**
- First, convert each part to tons:
- 1/2 ton = 0.5 tons = 0.5 * 2000 = 1000 pounds
- 3/4 ton = 0.75 tons = 0.75 * 2000 = 1500 pounds
- Add these together:
- 1000 pounds + 1500 pounds = 2500 pounds
- 2500 pounds is **not greater** than 3,800 pounds, so this statement is **false**.
3. **2 tons = 64,000 ounces**
- Convert tons to ounces:
- 1 ton = 2000 pounds
- 1 pound = 16 ounces
- 2 tons = 2 * 2000 = 4000 pounds
- 4000 pounds = 4000 * 16 = 64,000 ounces
- Therefore, this statement is **true**.
4. **1 1/4 tons − 1/2 ton < 24,000 ounces**
- Convert both amounts to pounds:
- 1 1/4 tons = 1.25 tons = 1.25 * 2000 = 2500 pounds
- 1/2 ton = 0.5 tons = 0.5 * 2000 = 1000 pounds
- Subtract:
- 2500 pounds - 1000 pounds = 1500 pounds
- Convert 24,000 ounces to pounds:
- 24000 ounces = 24000 / 16 = 1500 pounds
- 1500 pounds is **not less** than 1500 pounds, so this statement is **false**.
The only **true statement** is: **2 tons = 64,000 ounces.**