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Svet_ta [14]
3 years ago
15

Evaluate C(8, 2). 56 28 40,320 20,160

Mathematics
1 answer:
algol133 years ago
3 0

Answer:

option B

28

Step-by-step explanation:

Given in the question,

C(8,2)

Formula to use

<h3> nCr = n! / r! * (n - r)!</h3>

here n = 8

        r  = 2

We have to calculate combinations of 8 object taken 2 at a time, then

C(8,2)  

8C2

8! / 2! * (8 - 2)!

\frac{8*7*6*5*4*3*2*1}{2*1(6!)}

\frac{8*7*6*5*4*3*2*1}{2*1(6*5*4*3*2*1)}

\frac{8*7}2

56/2

28

So, 8C2 = 28

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What is the equation of the line through (5, 1) with a slope of -3?
Vlad1618 [11]

Answer:

B. y-1=3(x-5)

Step-by-step explanation:

y=_+_(x-_)

y=1+(-3)(x-5)

y-1=3(x-5)

6 0
3 years ago
Work out please what is it
lisov135 [29]

Answer:

answer for 1

5 3/4 - 2 1/4 = 7

2

= 3 1

2

= 3.5

Spelled result in words is seven halfs (or three and one half).

How do you solve fractions step by step?

Conversion a mixed number 5 3

4

to a improper fraction: 5 3/4 = 5 3

4

= 5 · 4 + 3

4

= 20 + 3

4

= 23

4

To find new numerator:

a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4

4

= 20

4

b) Add the answer from previous step 20 to the numerator 3. New numerator is 20 + 3 = 23

c) Write a previous answer (new numerator 23) over the denominator 4.

Five and three quarters is twenty-three quarters

Conversion a mixed number 2 1

4

to a improper fraction: 2 1/4 = 2 1

4

= 2 · 4 + 1

4

= 8 + 1

4

= 9

4

To find new numerator:

a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally 2 * 4

4

= 8

4

b) Add the answer from previous step 8 to the numerator 1. New numerator is 8 + 1 = 9

c) Write a previous answer (new numerator 9) over the denominator 4.

Two and one quarter is nine quarters

Subtract: 23

4

- 9

4

= 23 - 9

4

= 14

4

= 2 · 7

2 · 2

= 7

2

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(4, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 4 = 16. In the next intermediate step , cancel by a common factor of 2 gives 7

2

.

In words - twenty-three quarters minus nine quarters = seven halfs.

Step-by-step explanation:

answer for 27 2/3 + 2 1/5 = 148

15

= 9 13

15

≅ 9.8666667

Spelled result in words is one hundred forty-eight fifteenths (or nine and thirteen fifteenths).

How do you solve fractions step by step?

Conversion a mixed number 7 2

3

to a improper fraction: 7 2/3 = 7 2

3

= 7 · 3 + 2

3

= 21 + 2

3

= 23

3

To find new numerator:

a) Multiply the whole number 7 by the denominator 3. Whole number 7 equally 7 * 3

3

= 21

3

b) Add the answer from previous step 21 to the numerator 2. New numerator is 21 + 2 = 23

c) Write a previous answer (new numerator 23) over the denominator 3.

Seven and two thirds is twenty-three thirds

Conversion a mixed number 2 1

5

to a improper fraction: 2 1/5 = 2 1

5

= 2 · 5 + 1

5

= 10 + 1

5

= 11

5

To find new numerator:

a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5

5

= 10

5

b) Add the answer from previous step 10 to the numerator 1. New numerator is 10 + 1 = 11

c) Write a previous answer (new numerator 11) over the denominator 5.

Two and one fifth is eleven fifths

Add: 23

3

+ 11

5

= 23 · 5

3 · 5

+ 11 · 3

5 · 3

= 115

15

+ 33

15

= 115 + 33

15

= 148

15

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(3, 5) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 5 = 15. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - twenty-three thirds plus eleven fifths = one hundred forty-eight fifteenths mark me brainlist if i help

4 0
3 years ago
What does 12(6-k) equal​
gregori [183]

\text{Hey there!}

\rightarrow\text{What does 12(6 - k) equal?}

\text{Well, the formula is: a(b + c) = a(b) + a(c) = ab + ac}

\bf{12( 6 - k) = 12(6) - 12(k)= \underline{72 -12k}}

\boxed{\boxed{\text{\bf{Thus, your answer is: 72 - 12k}}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

8 0
3 years ago
The problem is in the picture
creativ13 [48]
It should be the first answer choice between those two
6 0
3 years ago
During a baseball game, a food stand sells popcorn for $2.50 and hotdogs for $3 each. If at the end of the game, the stand made
nasty-shy [4]
Let
x-------> bags of <span>popcorn
</span>y-------> bags of hotdogs

we know that
2.50x+3y=200-------> equation 1
x=2y--------> equation 2

substitute 2 in 1

2.50*[2y]+3y=200--------> 5y+3y=200------> 8y=200-----> y=200/8
y=25
x=2y-----> x=2*25-----> x=50

the answer is
50 bags of popcorn
25 bags of hotdogs<span />
5 0
3 years ago
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