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Convert the following: 1012 kilograms to grams, 360 minutes to hours.

Mathematics

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Step-by-step solution

16 steps

1.1.1

  1. Identify the conversion factor from kilograms to grams.

    1 kg=1000 g1 \text{ kg} = 1000 \text{ g}
  2. Multiply the given kilograms by the conversion factor.

    1012 kg×1000gkg=1012000 g1012 \text{ kg} \times 1000 \frac{\text{g}}{\text{kg}} = 1012000 \text{ g}

    The converted value is 1012000 g\boxed{1012000 \text{ g}}.

    1.1.2

  3. Identify the conversion factor from minutes to hours.

    1 hour=60 minutes1 \text{ hour} = 60 \text{ minutes}
  4. Divide the given minutes by the conversion factor.

    360 minutes÷60minuteshour=6 hours360 \text{ minutes} \div 60 \frac{\text{minutes}}{\text{hour}} = 6 \text{ hours}

    The converted value is 6 hours\boxed{6 \text{ hours}}.

    1.2.1

  5. Locate the date on the receipt.

    The date on the receipt is "13/10/23".
    The date is 13 October 2023\boxed{\text{13 October 2023}}.

    1.2.2

  6. Identify the total amount paid from the receipt.

    The total amount paid is R143,75.

  7. Convert the amount from Rands to cents.

    1 Rand=100 cents1 \text{ Rand} = 100 \text{ cents} 143.75 Rands×100centsRand=14375 cents143.75 \text{ Rands} \times 100 \frac{\text{cents}}{\text{Rand}} = 14375 \text{ cents}

    The total amount paid in cents is 14375 cents\boxed{14375 \text{ cents}}.

    1.2.3

  8. Identify the time shown on the receipt.

    The time is "02:14 PM".

  9. Convert PM time to 24-hour format by adding 12 to the hour.

    02:14 PM=(02+12):14=14:1402:14 \text{ PM} = (02 + 12):14 = 14:14

    The time in 24-hour format is 14:14\boxed{14:14}.

    1.2.4

  10. List the items and their costs from the receipt.

    • Gold Wash: R65,00
    • Car polish: R10,00
    • Braai Plate: R50,00
  11. Identify items that cost more than R50.

    Only "Gold Wash" costs R65,00, which is more than R50.

  12. Calculate the probability.

    There is 1 item that costs more than R50 out of a total of 3 items.

    Probability=Number of items costing more than R50Total number of items=13\text{Probability} = \frac{\text{Number of items costing more than R50}}{\text{Total number of items}} = \frac{1}{3}

    The probability is 13\boxed{\frac{1}{3}}.

    1.3.1

  13. Locate the first Tuesday on the February 2028 calendar.

    The first Tuesday is February 6.

  14. Locate the second Tuesday on the calendar.

    The second Tuesday is February 13.
    The date of the second Tuesday is 13 February 2028\boxed{\text{13 February 2028}}.

    1.3.2

  15. Understand that leap years occur every 4 years.

  16. Given that 2024 is a leap year, subtract 4 years to find the previous leap year.

    2024−4=20202024 - 4 = 2020

    The leap year before 2024 was 2020\boxed{2020}.

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