In the question, they give you the formula for speed...
speed = distance / time
They also give you the distance and the time, so all we have to do is stick them into the equation...
speed = 3 2/3 Km / 1/3 hour
speed = 3 2/3 / 1/3
To divide the fractions, first we need to convert 3 2/3 into an improper fraction
3 2/3 = 11/3
now we multiply 11/3 x the reciprocal of the divisor 1/3. The reciprocal just means flip the numerator and denominator
speed = 11/3 x 3/1
speed = 33/3
speed = 11 Km/hour
V_cone = 1/3 pi * r^2 * h
V_cylinder = pi*r^2*h
If you multiply the cone's volume by 3 then you get the cylinder's volume. They become the same formula
3 V_cone = pi r^2 h
Since the cone's volume is 36pi They cylinder's volume is 3*36pi = 108 pi
Answer: infinitely many solutions.
Step-by-step explanation:
Ok, our equation is:
-2.1*b + 5.3 = b - 3.1*b + 5.3
now, simplifyng the right side, we have:
b - 3.1*b + 5.3 = (1 - 3.1)*b + 5.3 = -2.1*b + 5.3
Then our initial expression is:
-2.1*b + 5.3 = -2.1*b + 5.3
So in both sides of the equality we have the exact same thing, so this is a trivial equality.
This means that the equality will remain true for any value of b, which means that we have infinitely many solutions.
The answer to the equation is 12.
Here is the solution to the given problem above.
Given the the amount of water in a pool is decreasing 5/8 gallon every hour.
And what would be the change in the number of gallons after 3/4 hour. So what we are going to do is just to multiply 5/8 by 3/4. And the result would be 15/32. The total change in the number of gallons of water in the pool after 3/4 hour would be 15/32 gallons.
