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sesenic [268]
3 years ago
15

Can someone please solve please?

Mathematics
2 answers:
Flauer [41]3 years ago
8 0

Answer:

495

Step-by-step explanation:

This problem can be solved b using a combination. We're using a combination for this because the order in which you would pick the books doesn't matter. To solve, we would plug in the number of books, in this case 12, into the n value of the combination. Then we would plug in the number of books that would be picked, in this case 4, into the r value of the combination. Solve the combination, and you get 495.

umka2103 [35]3 years ago
4 0

Answer:495


Step-by-step explanation:

Combinations formula:

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

Where n is the total number of units (books: 12 in this case) and r is the number of groups to combine (4 in this case)

Therefore:

₁₂C₄ = 12!/4!(12-4)! = 12!/4!*8!

just to explain:

= (12*11*10*9*8*7*6*5*4*3*2*1)/(4*3*2*1)*(8*7*6*5*4*3*2*1)

=(12*11*10*9)/(4*3*2*1) = (3*11*5*3) = 9*11*5 = 99*5 = 495

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(22/7 - 2/3) divided by 2 is less than the value of 22/7 - 2/3
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3 years ago
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kicyunya [14]

Answer:

i) 3*m*n + 7

Then we can write the first term as:

"3 times the product between two numbers"

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And after that we need to add 7, then the complete sentence is:

"3 times the product between two numbers, increased by 7"

ii) x*y + (x + y)

The first part, x*y, can be written as:

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After that, we add the sum of these two numbers, then the complete sentence can be:

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8 0
2 years ago
The sum of three consecutive odd numbers is 123 what is the smallest of the three numbers
Inga [223]

Answer:

39

Step-by-step explanation:

Let the three consecutive odd numbers be:

x+2, x+4, x+6.

The sum of the consecutive numbers is 123 i.e

x+2 + (x+4) + (x+6) = 123

x + 2 + x + 4 + x + 6 = 123

3x + 12 = 123

Collect like terms

3x = 123 — 12

3x = 111

Divide both side by the coefficient of x i.e 3

x = 111/3

x = 37

Now let us find the value of the three odd numbers. This is illustrated:

1st : x + 2 = 37 + 2 = 39

2nd : x + 4 = 37 + 4 = 41

3rd : x + 6 = 37 + 6 = 43

The smallest of the three consecutive odd numbers is 39

5 0
3 years ago
3.
Zanzabum

Answer:

see below

Step-by-step explanation:

y = 8x − 9

y = 4x − 1

Since both equations are equal to y, we can set them equal to each other

8x-9 = 4x-1

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8x-4x-9 = 4x-4x-1

4x-9 = -1

Add 9 to each side

4x-9+9 = -1+9

4x = 8

Divide each side by 4

4x/4 = 8/4

x=2

Now find y

y = 4x-1

y = 4(2)-1

y = 8-1

y = 7

(2,7)

The point of intersection when the 2 lines are graphed is (2,7)

7 0
3 years ago
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Bas_tet [7]

Answer:

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5 0
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