High School

1. Calculate: \(0.10 + 30\% + 40\%\). Answer: ____%

2. The conversion factor to convert from ton to kilogram is ____.

3. Calculate the rate when Basma jumps 570 jumps in 6 minutes. Answer: ____ jumps per minute.

4. Convert 280 grams per second to kilograms per minute. Answer: ____ kg/min.

5. A bookstore with 500 books sold 50% of all its books. The number of sold books is ____ books.

Answer :

Here's how you can solve each part of the question:

  1. Calculating the Sum of Percentages: To find the total percentage, you need to convert all the numbers to percentages and then add them up.

    • 0.10 as a percentage is 10%.
    • 30% is already a percentage.
    • 40% is also already a percentage.
    • So, adding these up gives:
      [tex]10\% + 30\% + 40\% = 80\%.[/tex]

  2. Conversion Factor from Ton to Kilogram: The conversion factor between tons and kilograms is based on the metric system.

    • 1 ton is equivalent to 1000 kilograms.
    • So the conversion factor is 1000.

  3. Rate Unit Calculation for Basma's Jumps: To find out how many jumps Basma makes per minute, divide the total jumps by the total time in minutes.

    • Total number of jumps: 570
    • Total time in minutes: 6
    • Rate = [tex]\frac{570}{6}[/tex] jumps per minute
    • This simplifies to 95 jumps per minute.

  4. Converting Grams per Second to Kilograms per Minute:

    • First, convert grams to kilograms: 280 grams is 0.280 kilograms.
    • There are 60 seconds in a minute, so we multiply the rate by 60 to convert to kilograms per minute.
    • [tex]0.280 \times 60 = 16.8 \text{ kg/min}[/tex]

  5. Calculating the Number of Sold Books:

    • If a bookstore has 500 books and sold 50% of them, then we need to calculate 50% of 500.
    • [tex]0.50 \times 500 = 250[/tex]
    • Therefore, 250 books were sold.

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