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18 March, 20:20

If your front lawn is 17.0 feet wide and 20.0 feet long, and each square foot of lawn accumulates 1050 new snowflakes every minute, how much snow, in kilograms, accumulates on your lawn per hour? Assume an average snowflake has a mass of 2.00 mg.

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  1. 18 March, 20:30
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    Answer: 42.84 kg

    Step-by-step explanation: Lawn is 17 ft x 20 ft.

    Its area is S = 17 x 20 = 340 ft²

    Each ft² of lawn accumulates 1050 snowflakes/min, 1ft² = 1050 s. f./min.

    As 1 hour has 60 min, the lawn accumulates 63000/hour →

    1050 x 60 = 63000

    1ft² = 63000s. f./hour

    This way, 340 ft² of lawn will accumulate 21,420,000 s. f/hour →

    340 x 63000 = 21420000

    As 1 snowflake has 2mg, 21,420,000 will have 42,840,000 mg.

    As 1kg = 1,000,000 mg

    42,840,000/1,000,000 = 42.84 kg
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