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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You're on a roll — here are the answers for Week 9 Activity 1.9: 1.1.1 Step 1: Calculate the total weight of 12 eggs in grams. Each egg weighs 51.5 grams. Total weight in grams = 12 eggs × 51.5 g/egg = 618 g Step 2: Convert the total weight from grams to kilograms. There are 1000 grams in 1 kilogram. Total weight in kilograms = 618 g1000 g/kg = 0.618 kg The total weight of 12 eggs is 0.618 kg 1.1.2 Step 1: Convert the mixed number of teaspoons to a decimal or improper fraction. 2(3)/(4) teaspoons = 2.75 teaspoons Step 2: Convert teaspoons to millilitres using the conversion 1 teaspoon = 5 ml. Volume in ml = 2.75 teaspoons × 5 ml/teaspoon = 13.75 ml 2(3)/(4) teaspoons is 13.75 ml 1.1.3 Step 1: Use the conversion 1 cup = 250 ml. To convert 625 ml to cups, divide the volume in ml by the volume of one cup in ml. Number of cups = 625 ml250 ml/cup = 2.5 cups 625 ml is 2.5 cups 1.1.4 Step 1: Identify the given oven temperature in Celsius. The oven temperature is 150^. Step 2: Use the given conversion formula and rearrange it to solve for Fahrenheit. The formula is ^ = (^ - 32^) ÷ 1.8. Substitute 150^ into the formula: 150 = (^ - 32) ÷ 1.8 Multiply both sides by 1.8: 150 × 1.8 = ^ - 32 270 = ^ - 32 Add 32 to both sides: 270 + 32 = ^ 302 = ^ The oven temperature in Fahrenheit is 302^ 1.1.5 Step 1: Identify the start time and baking duration. Start time = 11:35 am. Baking duration = 1(1)/(2) hours = 1 hour and 30 minutes. Step 2: Add the baking duration to the start time. Add 1 hour to 11:35 am: 11:35 am + 1 hour = 12:35 pm. Add 30 minutes to 12:35 pm: 12:35 pm + 30 minutes = 1:05 pm. The cake will be ready at 1:05 pm 1.1.6 Step 1: Determine the amount of whipped cream needed for one cake. One cake requires 250 ml of whipped cream. Step 2: Calculate the total whipped cream needed for fifteen cakes in millilitres. Total whipped cream in ml = 15 cakes × 250 ml/cake = 3750 ml Step 3: Convert the total whipped cream from millilitres to litres. There are 1000 ml in 1 litre. Total whipped cream in litres = 3750 ml1000 ml/L = 3.75 L To make fifteen cakes, 3.75 litres of whipped cream will be required. Got more? Send 'em!