If your front lawn is 25.0 feet wide and 20.0 feet long, and each square foot of lawn accumulates 1150 new snow flakes every minute, how much snow (in kilograms) accumulates on your lawn per hour? Assume an average snow flake has a mass of 1.90 mg.

Please explain the steps you used.

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To calculate the amount of snow accumulating on your lawn per hour, we need to determine the total number of snowflakes accumulating and then convert that into kilograms.

First, let's calculate the total area of your lawn in square feet. The area can be found by multiplying the length (20.0 feet) by the width (25.0 feet):

Area = Length × Width
Area = 20.0 feet × 25.0 feet
Area = 500 square feet

Now that we know the area of your lawn, we can determine the total number of snowflakes accumulating per minute. Each square foot of lawn accumulates 1150 new snowflakes every minute, so we multiply that by the total area of your lawn:

Total snowflakes per minute = Snowflakes per square foot × Total area
Total snowflakes per minute = 1150 flakes/ft² × 500 ft²
Total snowflakes per minute = 575,000 flakes/minute

Since we want to find the amount of snow accumulating per hour, we need to convert minutes to hours. There are 60 minutes in an hour, so we multiply the total snowflakes per minute by 60:

Total snowflakes per hour = Total snowflakes per minute × Number of minutes in an hour
Total snowflakes per hour = 575,000 flakes/minute × 60 minutes/hour
Total snowflakes per hour = 34,500,000 flakes/hour

Finally, we need to convert the number of snowflakes into kilograms. We can do this by multiplying the total number of snowflakes by the mass of each snowflake in kilograms. We know that each snowflake has a mass of 1.90 mg (milligrams), so we need to convert it to kilograms by dividing by 1,000,000:

Total snow accumulation per hour (in kg) = (Total snowflakes per hour × Mass of each snowflake) / Conversion factor
Total snow accumulation per hour (in kg) = (34,500,000 flakes/hour × 1.90 mg) / 1,000,000
Total snow accumulation per hour (in kg) = 65.55 kg

Therefore, approximately 65.55 kilograms of snow accumulate on your lawn per hour.