This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Here are the conversions and calculations: Conversion Factors Used: 1 mile = 1.60934 km 1 yard = 0.9144 m 1 inch = 2.54 cm 1 foot = 30.48 cm 1 foot = 12 inches 1 m = 1000 mm 1 cm = 10 mm 1 m = 1.09361 yards 1 km = 0.621371 miles 1 foot = 0.3048 m 1. Convert the following: 1.1: 40 miles to km Step 1: Use the conversion factor 1 mile = 1.60934 km. 40 miles × 1.60934 km1 mile Step 2: Calculate the value. 40 × 1.60934 = 64.3736 km The conversion is: 64.3736 km 1.2: 650 yards to m Step 1: Use the conversion factor 1 yard = 0.9144 m. 650 yards × 0.9144 m1 yard Step 2: Calculate the value. 650 × 0.9144 = 594.36 m The conversion is: 594.36 m 1.3: 50 inches to cm Step 1: Use the conversion factor 1 inch = 2.54 cm. 50 inches × 2.54 cm1 inch Step 2: Calculate the value. 50 × 2.54 = 127 cm The conversion is: 127 cm 1.4: 0,24 feet to mm Step 1: Convert feet to cm using 1 foot = 30.48 cm. 0.24 feet × 30.48 cm1 foot = 7.3152 cm Step 2: Convert cm to mm using 1 cm = 10 mm. 7.3152 cm × 10 mm1 cm = 73.152 mm The conversion is: 73.152 mm 1.5: 3,7 m to yards Step 1: Use the conversion factor 1 m = 1.09361 yards. 3.7 m × 1.09361 yards1 m Step 2: Calculate the value. 3.7 × 1.09361 = 4.046357 yards The conversion is: 4.046357 yards 1.6: 900,4 km to miles Step 1: Use the conversion factor 1 km = 0.621371 miles. 900.4 km × 0.621371 miles1 km Step 2: Calculate the value. 900.4 × 0.621371 = 559.489 miles The conversion is: 559.489 miles 1.7: 180 cm to feet Step 1: Use the conversion factor 1 foot = 30.48 cm. 180 cm × 1 foot30.48 cm Step 2: Calculate the value. 180 ÷ 30.48 ≈ 5.9055 feet The conversion is: 5.9055 feet 1.8: 22 169 mm to inches Step 1: Convert mm to cm using 1 cm = 10 mm. 22169 mm × 1 cm10 mm = 2216.9 cm Step 2: Convert cm to inches using 1 inch = 2.54 cm. 2216.9 cm × 1 inch2.54 cm Step 3: Calculate the value. 2216.9 ÷ 2.54 ≈ 872.7165 inches The conversion is: 872.7165 inches 2. In a high-jump competition, Lindy jumps 2,4 feet and Lester jumps 0,85 m. Who jumps the highest? Step 1: Convert Lindy's jump from feet to meters using 1 foot = 0.3048 m. 2.4 feet × 0.3048 m1 foot = 0.73152 m Step 2: Compare Lindy's jump (0.73152 m) with Lester's jump (0.85 m). 0.85 m > 0.73152 m Lester jumps higher. The person who jumps the highest is: Lester 3. Andy travels 3 250 metres. Determine the cost of his gas, if gas costs 2,50 per mile. Step 1: Convert Andy's travel distance from meters to miles using 1 mile = 1609.34 m. 3250 m × 1 mile1609.34 m ≈ 2.0194 miles Step 2: Calculate the total cost of gas. Cost = Distance in miles × Cost per mile Cost = 2.0194 miles × \2.50/mile = \5.0485 The cost of his gas is: \5.05 3 done, 2 left today. You're making progress.