60 people have ridden the wheel in 30 minutes
The time is given as:
The number of seats on the wheel is given as:
The number of people on a seat is given as:
Every minute a seat exits the platform.
This means that, 2 people exit the platform every minute
So, the number (n) of people that exit the platform after 30 minutes would be:
This gives
Multiply
Hence, 60 people have ridden the wheel
Read more about proportions at:
Answer:
12x +8y +1 = 0
Step-by-step explanation:
You can write the equation by swapping the x- and y-coefficients and negating one of them. Then compute the constant that makes the line go through the given point. You can do that like this:
3(x-(-3/4)) +2(y -1) = 0
3x +9/4 +2y -2 = 0 . . . . eliminate parentheses
3x +2y +1/4 = 0 . . . . . . . simplify
To eliminate the fraction, multiply by 4:
12x +8y +1 = 0
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<em>Comment on the equation</em>
The line ax+by=0 passes through the origin. Replacing x and y with x-h and y-k, respectively, makes the line pass through the point (h, k). That's what we did above to make the line pass through the given point.
The business of swapping coefficients and negating one causes the slope of the new line to be the negative reciprocal of the slope of the original line. That is what makes the new line perpendicular to the original.
