-- He must have at least one of each color in the case, so the first 3 of the 5 marbles in the case are blue-green-black.
Now the rest of the collection consists of
4 blue
4 green
2 black
and there's space for 2 more marbles in the case.
So the question really asks: "In how many ways can 2 marbles
be selected from 4 blue ones, 4 green ones, and 2 black ones ?"
-- Well, there are 10 marbles all together.
So the first one chosen can be any one of the 10,
and for each of those,
the second one can be any one of the remaining 9 .
Total number of ways to pick 2 out of the 10 = (10 x 9) = 90 ways.
-- BUT ... there are not nearly that many different combinations
to wind up with in the case.
The first of the two picks can be any one of the 3 colors,
and for each of those,
the second pick can also be any one of the 3 colors.
So there are actually only 9 distinguishable ways (ways that
you can tell apart) to pick the last two marbles.
Answer:
Volume (V) = 2522.0 mm^3
Step-by-step explanation:
The volume of cylinder is :
V = π r 2 h
We know that the height (h) is 19.
We also know the radius (r) is 13/2 = 6.5
So,
V = π 6.5^2*19
V = 2522.0 mm^3
Y = -1/2x + 5 is the answer
Answer:
314 inches³
Step-by-step explanation:
The area of a cone is πr²h/3. We need to find the height and radius of the cone. The height is 12 inches. radius * 2 = diameter.
Radius * 2 = Diameter
/2 /2
Radius = 1/2* Diameter
Radius = 5 inches
We substitute it in:
3.14 * 5² * 12/3:
3.14*25*4
314 inches³
I believe you use division. the question states he bought some boxwood for $12 each, and had a total of $432. you divide 432 by 12 to find the exact amount of how many boxwood were purchased.
The answer should be 36
