A swimming pool is being filled ata rate of 15 pints per minute. How many gallons per hour is this?
2 answers:
we have to convert the rate from pints per minute to gallons per hour
1 pint = 0.125 gallon
1 minute - 1/60 hours
we can write 15 pints per minute as
15 pints / 1 minute
to convert pints to gallons we have to multiply by 0.125 gallon/pint
to convert minutes to hours we have to multiply by 1/60 hours/minute
=
rate is 112.5 gallons/hour
You might be interested in
9514 1404 393
Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225
