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almond37 [142]
3 years ago
9

We have 10 boxes filled with lots of white balls. We additionally have 60 black balls. We want to distinguish boxes by placing d

ifferent number of black balls in all of them (0 balls in some box are allowed). Can we do that?
Mathematics
1 answer:
zhuklara [117]3 years ago
3 0

Answer with explanation:

There are few number of white ball in 10 boxes.

Total number of Black balls in the box=60

So, we have to write number 60  in such a way that, such that it can be represented as sum of ten different digits.

That is the only way by which we can distinguish between ten boxes.

60 =0 +1+2+3+4+6+8+10+12+14

Place these balls in ten different boxes.

So, by this way we can distinguish between boxes.

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Write an equation parallel to the line y=3/2x-2 that goes through (5,1) in point slope form.
s344n2d4d5 [400]

Answer: y=3/2x-13/2

Step-by-step explanation:

concept to know: two parallel lines have the same slope

y=3/2x+b

in order to find b or the y-intercept, we plug the point in

y=3/2x+b

1=3/2(5)+b

1=15/2+b

b=-13/2

----------------------------

y=3/2x-13/2

Hope this helps!! :)

4 0
3 years ago
A bag contains 10 tiles with the letters A, B, C, D, E, F, G, H, I, and J. Five tiles are chosen, one at a time, and placed in a
lora16 [44]
I assume in this item, we are to find at which step is the mistake done for the calculation of the unknown probability. 

For the possible number of arrangement of letter, n(S), the basic principles of counting should be used.
                       = 10 x 9 x 8 x 7 x 6 = 30,240

This is similar as to what was done in Meghan's work.

For the five tiles to spell out FACED, there is only one (1) possibility.

Therefore, the probability should be equal to 1/30,240 instead of the 1/252 which was presented in the steps above. 
8 0
3 years ago
Multiply: (3x – 5)(–x + 4)
LiRa [457]

Answer:

Step-by-step explanation:

(3x – 5)(–x + 4)

(3x)(–x) + (3x)(4) + (–5)(–x) + (–5)(4).

-3x^2+12x +5x -20

-3x^2+ 17x -20

4 0
3 years ago
Read 2 more answers
What's the circumference of a circle with radius of 18 in. Leave answer in terms of pie
Verdich [7]
We Know, Circumference of Circle = 2πr
Here, r = 18
Substitute it in to the expression,
C = 2π(18) = 36π

So, your final answer is 36π

Hope this helps!
7 0
3 years ago
Instructions: Find the lengths of the other two sides of the isosceles right triangle below.
Alexandra [31]

Given:

The ratio of 45-45-90 triangle is x:x:x\sqrt{2}.

The hypotenuse of the given isosceles right triangle is 7\sqrt{2}.

To find:

The lengths of the other two sides of the given isosceles right triangle.

Solution:

Let l be the lengths of the other two sides of the given isosceles right triangle.

From the given information if is clear that he ratio of equal side and hypotenuse is x:x\sqrt{2}. So,

\dfrac{x}{x\sqrt{2}}=\dfrac{l}{7\sqrt{2}}

\dfrac{1}{\sqrt{2}}=\dfrac{l}{7\sqrt{2}}

\dfrac{7\sqrt{2}}{\sqrt{2}}=l

7=l

Therefore, the lengths of the other two sides of the given isosceles right triangle are 7 units.

6 0
3 years ago
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