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Solve the following conversion problems: 1.1.1 Calculate the total weight of 12 eggs in kg, given each egg weighs 51.5g. 1.1.2 Convert 2 3/4 teaspoons to ml, given 1 tsp = 5ml. 1.1.3 Convert 625ml to

Mathematics

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here are the answers for Week 9 Activity 1.9:

1.1.1

  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= 12 \text{ eggs} \times 51.5 \text{ g/egg}

    =618 g= 618 \text{ g}
  2. Convert the total weight from grams to kilograms.

    There are 1000 grams in 1 kilogram.
    Total weight in kilograms =618 g1000 g/kg= \frac{618 \text{ g}}{1000 \text{ g/kg}}

    =0.618 kg= 0.618 \text{ kg}

    The total weight of 12 eggs is 0.618 kg\boxed{\text{0.618 kg}}

    1.1.2

  3. Convert the mixed number of teaspoons to a decimal or improper fraction.

    234 teaspoons=2.75 teaspoons2\frac{3}{4} \text{ teaspoons} = 2.75 \text{ teaspoons}
  4. Convert teaspoons to millilitres using the conversion 1 teaspoon = 5 ml.

    Volume in ml =2.75 teaspoons×5 ml/teaspoon= 2.75 \text{ teaspoons} \times 5 \text{ ml/teaspoon}

    =13.75 ml= 13.75 \text{ ml} 234 teaspoons is 13.75 ml2\frac{3}{4} \text{ teaspoons is } \boxed{\text{13.75 ml}}

    1.1.3

  5. 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= \frac{625 \text{ ml}}{250 \text{ ml/cup}}

    =2.5 cups= 2.5 \text{ cups}

    625 ml is 2.5 cups\boxed{\text{2.5 cups}}

    1.1.4

  6. Identify the given oven temperature in Celsius.

    The oven temperature is 150∘C150^\circ\text{C}.

  7. Use the given conversion formula and rearrange it to solve for Fahrenheit.

    The formula is ∘C=(∘F−32∘)÷1.8^\circ\text{C} = (^\circ\text{F} - 32^\circ) \div 1.8.
    Substitute 150∘C150^\circ\text{C} into the formula:

    150=(∘F−32)÷1.8150 = (^\circ\text{F} - 32) \div 1.8

    Multiply both sides by 1.8:

    150×1.8=∘F−32150 \times 1.8 = ^\circ\text{F} - 32 270=∘F−32270 = ^\circ\text{F} - 32

    Add 32 to both sides:

    270+32=∘F270 + 32 = ^\circ\text{F} 302=∘F302 = ^\circ\text{F}

    The oven temperature in Fahrenheit is 302∘F\boxed{\text{302}^\circ\text{F}}

    1.1.5

  8. Identify the start time and baking duration.

    Start time = 11:35 am.
    Baking duration = 1121\frac{1}{2} hours = 1 hour and 30 minutes.

  9. 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\boxed{\text{1:05 pm}}

    1.1.6

  10. Determine the amount of whipped cream needed for one cake.

    One cake requires 250 ml of whipped cream.

  11. Calculate the total whipped cream needed for fifteen cakes in millilitres.

    Total whipped cream in ml =15 cakes×250 ml/cake= 15 \text{ cakes} \times 250 \text{ ml/cake}

    =3750 ml= 3750 \text{ ml}
  12. 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= \frac{3750 \text{ ml}}{1000 \text{ ml/L}}

    =3.75 L= 3.75 \text{ L}

    To make fifteen cakes, 3.75 litres\boxed{\text{3.75 litres}} of whipped cream will be required.

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