Convert each rate using dimensional analysis round to the nearest hundredth if necessary
18meters/minutes =? centimeters /seconds
To convert 18 meters/minute to centimeters/second, we need to multiply it by a conversion factor.
1 meter = 100 centimeters
1 minute = 60 seconds
The conversion factor is therefore: (100 centimeters/1 meter) / (60 seconds/ 1 minute)
Using dimensional analysis, we have:
18 meters/minute * (100 centimeters/1 meter) / (60 seconds/ 1 minute)
Simplifying the expression, we get:
18 * 100 / 60 centimeters/second
Evaluating the expression, we have:
(18 * 100) / 60 = 1800 / 60 = 30 centimeters/second
Therefore, 18 meters/minute is equal to 30 centimeters/second.
how many cups are in a gallon
There are 16 cups in a gallon.
how many cups are in 5.7 gallons
To find out how many cups are in 5.7 gallons, we need to multiply the number of gallons by the conversion factor.
1 gallon is equal to 16 cups.
Using dimensional analysis, we can set up the calculation as follows:
5.7 gallons * 16 cups/gallon
Multiplying the numbers, we have:
5.7 * 16 = 91.2 cups
Therefore, there are 91.2 cups in 5.7 gallons.
To convert 18 meters/minute to centimeters/second, we will use dimensional analysis.
We know that 1 meter is equal to 100 centimeters, and 1 minute is equal to 60 seconds.
So, we can set up the conversion like this:
18 meters/minute * (100 centimeters/1 meter) * (1 minute/60 seconds)
Let's calculate step by step:
Step 1: 18 meters/minute * (100 centimeters/1 meter) = 1800 centimeters/minute
Step 2: 1800 centimeters/minute * (1 minute/60 seconds) = 30 centimeters/second
Therefore, 18 meters/minute is equal to 30 centimeters/second.
To convert 18 meters/minute to centimeters/second using dimensional analysis, we need to set up conversion factors that relate meters to centimeters and minutes to seconds.
First, let's convert meters to centimeters. Since 1 meter is equal to 100 centimeters, we can set up the conversion factor:
1 meter = 100 centimeters
Next, let's convert minutes to seconds. Since 1 minute is equal to 60 seconds, we can set up the conversion factor:
1 minute = 60 seconds
Now, let's set up the dimensional analysis calculation by multiplying the given rate (18 meters/minute) by the conversion factors:
(18 meters/minute) * (100 centimeters/1 meter) * (1 minute/60 seconds)
By cancelling out the appropriate units in the numerator and denominator, we can simplify the calculation:
(18 * 100) / (1 * 60) centimeters/seconds
= 1800/60 centimeters/seconds
= 30 centimeters/second
Therefore, 18 meters/minute is equal to 30 centimeters/second.