MATHEMATICS HIGH SCHOOL

What is the value of 8C5?

A.56

B.6720

C.960

D.40

Answers

Answer 1
Answer:

Using, binomial coefficient, the value of 8C5 is 56, which corresponds to option A.

To calculate the value of 8C5 (8 choose 5), we use the binomial coefficient formula:

nCr = n! / (r! * (n - r)!)

where n is the total number of items, r is the number of items chosen.

In this case, n = 8 and r = 5.

8C5 = 8! / (5! * (8 - 5)!)

Now, let's calculate the factorials:

8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40,320

5! = 5 * 4 * 3 * 2 * 1 = 120

3! = 3 * 2 * 1 = 6

Now, substitute these values back into the formula:

8C5 = 40,320 / (120 * 6)

8C5 = 40,320 / 720

8C5 = 56

Therefore, the value of 8C5 is 56, which corresponds to option A.

To know more about binomial coefficient:

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Answer 2
Answer:

Answer: The answer would be 56!

Step-by-step explanation:

6x7x8 / 3! =56

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Erika has three pieces of ribbon each peace is 25 yards long she needs to cut pieces that are 22 inches long what is the greatest number of 22 inch pizza is that she can cut from the three pieces of ribbon

Answers

Answer:

120 pieces with a bit left over

Step-by-step explanation:

Recall that 1 yard = 36 inches.  Thus, a 22-inch piece of ribbon has length

L = (22 inches) / (36 inches / yd) = 11/18 yd.

We must now find out how many 22-inch, or 11/18-yard, pieces can be cut from each 25-yd piece.  Divide 25 yd by (11/18 yd/piece), obtaining:

25 yd      18 pieces  

--------- * ----------------- = 40.91 pieces.

    1           11 yd

Since we're interested in only whole pieces of length 11/18 yd, this produces 40 pieces with 0.91 piece left over.

Cutting up the three 25-yd pieces will then result in 3(40 pieces), or 120, pieces of length 11/18 yd.

Answer this please !!!!!!

Answers

Answer:

C) 140

Step-by-step explanation:

We can see from the diagram that mMEF + mDEM = mDEF because they share the same lines.

Therefore:

69x + 2 + 34 = 2 + 86x

Now we can solve this equation.

First we can eliminate the +2 from each side as they will cancel:

69x + 34 = 86X

And then rearrange to solve for x:

34 + 69x - 69x = 86x - 69x

34 = 17x

34/17 = 17x/17

x = 2

Now that we have the value for x, we can substitute it into the original equation:

mMEF = 69(2) +2

mMEF = 138 + 2

mMEF = 140

Therefore the correct answer is C) 140.

Hope this helped!

A rectangle's length is three times its width.  Let w denote the rectangle's width.  What polynomial represents the rectangle's area? 

Answers

Width = ' W '
Length = 3 times as long = 3W

Area = (length) x (width) = (3W) x (W) = 3W²

What is x- 2 1/2 = 6 3/4. pls help

Answers

X= 9 1/4 or 9.25 in decimal form
try using socratic the app

Factor completely:

7r^2− 64r + 64

Answers

Answer:

7r^2-64r+64

49r-64r+64

-15r+64

Step-by-step explanation:

What is the value of the expression below when w = 5?
2w2 – 2w + 3

Answers

Answer:

I got you

Step-by-step explanation:

2 time 5 times 2 is 20. This minus 2 times 5 is 10 plus 3 is 13.

Answer:13

Step-by-step explanation:
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