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Converting 2,25 m to cm, the answer is

Mathematics

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Part 5· 2 steps

  • 5.7. Converting 2.25 m2.25 \text{ m} to cm\text{cm}, the answer is:
  1. Recall the conversion factor

    1 m=100 cm1 \text{ m} = 100 \text{ cm}.

  2. Multiply the length in meters by 100.

    $$
    2.25 \text{ m} \times 100 \frac{\text{cm}}{\text{m}} = 225 \text{ cm}
    $$
    $$
    \boxed{225 \text{ cm}}
    $$
    

Part 6· 9 steps

  • 6.1. Jane's expenditure:
    • Income: R90

    • Expenditure:

      • Earphones: R18
      • Ticket: R25
      • Kota: R20
    • 6.1.1. Total Expenditure:

  1. Sum all the expenditure items.

        $$
        \text{Total Expenditure} = \text{R}18 + \text{R}25 + \text{R}20
        $$
    
  2. Calculate the sum.

        $$
        \text{Total Expenditure} = \text{R}63
        $$
        $$
        \boxed{\text{R}63}
        $$
    
    *   **6.1.2. Surplus / left over / savings:**
    
  3. Subtract the total expenditure from the income.

        $$
        \text{Surplus} = \text{Income} - \text{Total Expenditure}
        $$
        $$
        \text{Surplus} = \text{R}90 - \text{R}63
        $$
    
  4. Calculate the difference.

        $$
        \text{Surplus} = \text{R}27
        $$
        $$
        \boxed{\text{R}27}
        $$
    
    *   **6.1.3. How much percentage did she spent?**
    
  5. Divide the total expenditure by the income.

        $$
        \text{Fraction spent} = \frac{\text{Total Expenditure}}{\text{Income}} = \frac{\text{R}63}{\text{R}90}
        $$
    
  6. Convert the fraction to a percentage by multiplying by 100.

        $$
        \text{Percentage spent} = \frac{63}{90} \times 100\%
        $$
        $$
        \text{Percentage spent} = 0.7 \times 100\%
        $$
        $$
        \text{Percentage spent} = 70\%
        $$
        $$
        \boxed{70\%}
        $$
    
    • 6.2. Cool drink for a party:
      • Number of friends: 30
      • Drink per friend: 200 ml200 \text{ ml}
      • Bottle size: 2 litre2 \text{ litre}
  7. Calculate the total amount of cool drink needed in milliliters.

    $$
    \text{Total cool drink needed} = 30 \text{ friends} \times 200 \frac{\text{ml}}{\text{friend}} = 6000 \text{ ml}
    $$
    
  8. Convert the total cool drink needed from milliliters to liters.

    (1 litre=1000 ml1 \text{ litre} = 1000 \text{ ml}) Total cool drink needed=6000 ml1000mllitre=6 litres \text{Total cool drink needed} = \frac{6000 \text{ ml}}{1000 \frac{\text{ml}}{\text{litre}}} = 6 \text{ litres}

  9. Calculate the number of 2 litre2 \text{ litre} bottles needed.

    $$
    \text{Number of bottles} = \frac{\text{Total cool drink needed}}{\text{Volume per bottle}} = \frac{6 \text{ litres}}{2 \frac{\text{litres}}{\text{bottle}}}
    $$
    $$
    \text{Number of bottles} = 3 \text{ bottles}
    $$
    $$
    \boxed{3 \text{ bottles}}
    $$
    
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