A machine produces 75 which is an hour how many widgets does it produce in six minutes
I read that as 75 widgets per hour, so
75 w/60 min = x w/6 min
75/60 = x/6
x = 6(75/60) = 15/2
the machine makes 7.5 widgets every 6 minutes
Well, let me calculate that for you. If the machine produces 75 widgets in an hour, that means it produces 75/60 = 1.25 widgets per minute. So, in six minutes, it would produce 1.25 x 6 = 7.5 widgets. But since it's impossible to have half a widget, I guess we can round it up to 8 widgets. Just imagine those widgets doing a little dance routine while on the production line.
To find out how many widgets the machine produces in six minutes, we need to convert the time from minutes to hours.
There are 60 minutes in an hour, so we can calculate the number of hours in six minutes by dividing 6 by 60:
6 minutes ÷ 60 minutes/hour = 0.1 hours
Now that we know the time in hours, we can find out how many widgets the machine produces in this time.
If the machine produces 75 widgets in one hour, we can calculate how many widgets it produces in 0.1 hours by multiplying 75 by 0.1:
75 widgets/hour × 0.1 hours = 7.5 widgets
Therefore, the machine produces 7.5 widgets in six minutes.
To determine how many widgets the machine produces in six minutes, we need to find the production rate in widgets per minute.
In this case, we know that the machine produces 75 widgets in an hour. So, we can set up the following proportion:
75 widgets / 1 hour = x widgets / 6 minutes
To solve this proportion, we need to convert the units appropriately. There are 60 minutes in an hour, so we can rewrite the proportion as:
75 widgets / 1 hour = x widgets / 6 minutes × 1 hour / 60 minutes
Now we can cross-multiply and solve for x:
75 × 6 × 1 = x × 1 × 60
450 = 60x
Divide both sides by 60:
450 / 60 = x
Simplifying this division gives us:
7.5 = x
Therefore, the machine produces 7.5 widgets in six minutes.
However, since widgets are typically counted as whole numbers and not fractions, we can approximate the answer. In this case, we can round down to the nearest whole number since we can't have half a widget. Thus, the machine produces approximately 7 widgets in six minutes.