Subjects measurement

Length Conversions 6929D0

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1. **State the problem:** We need to verify which of the given length conversions are true. 2. **Recall unit conversions:** - 1 mile (mi) = 1760 yards (yd) - 1 yard (yd) = 3 feet (ft) - 1 foot (ft) = 12 inches (in) 3. **Check each conversion:** **B.** $\frac{3}{10}$ mi = 528 yd? Calculate $\frac{3}{10}$ mi in yards: $$\frac{3}{10} \times 1760 = 528$$ So, $\frac{3}{10}$ mi = 528 yd is **true**. **C.** 6 ft = 2 yd? Calculate 2 yd in feet: $$2 \times 3 = 6$$ So, 6 ft = 2 yd is **true**. **D.** 0.3 mi = 158,400 ft? Calculate 0.3 mi in feet: $$0.3 \times 1760 \times 3 = 0.3 \times 5280 = 1584$$ Since 1584 ft $\neq$ 158,400 ft, this is **false**. **E.** 6 yd = ? ft Calculate 6 yd in feet: $$6 \times 3 = 18$$ So, 6 yd = 18 ft. 4. **Final answers:** - B is true - C is true - D is false - E equals 18 ft Therefore, the true conversions are B and C.