9514 1404 393
Answer:
V = (2/3)(11)
Step-by-step explanation:
The given cylinder has a height of 2r, so its volume is ...
V = πr²(2r) = 2πr³
The volume of a sphere is given by ...
V = 4/3πr³
Then the ratio of the volume of the sphere to the volume of the cylinder is ...
(4/3πr³)/(2πr³) = (4/3)/2 = 2/3
So, the volume of the sphere is 2/3 times the volume of the cylinder:
V = (2/3)(11)
<span>In order to calculate this, we can set up a simple ratio. We say that
10 empty bottles : 1 drink
100 empty bottles : x drinks
We cross multiply to form the equation:
10x = 100
Now, we can simply solve for x to determine the number of drinks we would get for 100 bottles.
x = 10
So we will get 10 drinks if we bring 100 bottles to the bottle shop.Hope this helps. Let me know if you need additional help!</span>
well, we can say that √2 and √7 are irrational numbers, they do not provide a value that can be written in a "ration" or fractional.
we can also say that √2 * √7 is √(14), which is also irrational.
However, how about √7 * √7, that's √7² or namely just 7, and that's a rational, so nope, not always.
Answer:
0
Step-by-step explanation:
It may say combine, but it`s subtraction soooo it`s 0.
Step-by-step explanation:
Equation (1) is :
x+2=5
Subtract 2 from both sides,
x+2-2=5-2
x=3
Equation (2) is :
2n+5=n
Taking like terms together,
2n-n=-5
n=-5
Equation (3) is :
5(x+2)-7=3x+5
⇒5x+10-7=3x+5
taking like terms together,
5x-3x=5-10+7
⇒2x=2
x=1
Hence, x =3, n = -5 and x = 1 is the required answer.
