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 kg = 2.20462 pounds 1 pound = 0.453592 kg 1 ounce (oz) = 28.3495 g 1 g = 0.035274 ounces 1 pound = 16 ounces 1 ton (US short ton) = 2000 pounds 1 kg = 1000 g 1. Convert the following: 1.3: 21 ounces to g Step 1: Use the conversion factor 1 ounce = 28.3495 g. 21 ounces × 28.3495 g1 ounce Step 2: Calculate the value. 21 × 28.3495 = 595.3395 g The conversion is: 595.3395 g 1.4: 0.03 pounds to kg Step 1: Use the conversion factor 1 pound = 0.453592 kg. 0.03 pounds × 0.453592 kg1 pound Step 2: Calculate the value. 0.03 × 0.453592 = 0.01360776 kg The conversion is: 0.0136 kg 1.5: 8 ounces to kg Step 1: Convert ounces to grams using 1 ounce = 28.3495 g. 8 ounces × 28.3495 g1 ounce = 226.796 g Step 2: Convert grams to kg using 1 kg = 1000 g. 226.796 g × 1 kg1000 g = 0.226796 kg The conversion is: 0.2268 kg 1.6: 2 pounds to g Step 1: Convert pounds to kg using 1 pound = 0.453592 kg. 2 pounds × 0.453592 kg1 pound = 0.907184 kg Step 2: Convert kg to g using 1 kg = 1000 g. 0.907184 kg × 1000 g1 kg = 907.184 g The conversion is: 907.184 g 1.7: 99.32 kg to ounces Step 1: Convert kg to pounds using 1 kg = 2.20462 pounds. 99.32 kg × 2.20462 pounds1 kg = 218.9609 pounds Step 2: Convert pounds to ounces using 1 pound = 16 ounces. 218.9609 pounds × 16 ounces1 pound = 3503.3744 ounces The conversion is: 3503.3744 ounces 1.8: 818.7 g to pounds Step 1: Convert g to kg using 1 kg = 1000 g. 818.7 g × 1 kg1000 g = 0.8187 kg Step 2: Convert kg to pounds using 1 kg = 2.20462 pounds. 0.8187 kg × 2.20462 pounds1 kg = 1.80492 pounds The conversion is: 1.8049 pounds 2. A crane can lift a maximum load of 3.5 tons. If a container weighs 6 820 pounds, will the crane be able to lift the container? Step 1: Convert the crane's maximum load from tons to pounds using 1 ton = 2000 pounds. Crane capacity = 3.5 tons × 2000 pounds1 ton = 7000 pounds Step 2: Compare the crane's capacity with the container's weight. Crane capacity: 7000 pounds Container weight: 6820 pounds Since 7000 pounds > 6820 pounds, the crane can lift the container. The crane will be able to lift the container: Yes 3. Calculate the cost of 0.25 pounds of gold, if gold costs R13 070.58 per ounce. Step 1: Convert 0.25 pounds to ounces using 1 pound = 16 ounces. Gold in ounces = 0.25 pounds × 16 ounces1 pound = 4 ounces Step 2: Calculate the total cost. Total cost = 4 ounces × R13070.58/ounce = R52282.32 The cost of 0.25 pounds of gold is: R52282.32 Last free one today — make it count tomorrow, or type /upgrade for unlimited.