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irinina [24]
4 years ago
14

Evaluate the expression 18C4

Mathematics
1 answer:
erastovalidia [21]4 years ago
4 0

Answer:

3,060

Step-by-step explanation:

Given:

18C4

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

=18! / 4!(18-4)!

18!=18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*3*2*1

=6,402,373,705,728,000

4!=4*3*2*1

=24

(18-4)!=14!

=14*13*12*11*10*9*8*7*6*5*4*3*2*1

=87,178,291,200

18! / 4!(18-4)!

=6,402,373,705,728,000 / 24*87,178,291,200

=6,402,373,705,728,000 / 2,092,278,988,800

=3,060

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If G is the circumcenter of ABC, find each measure
8090 [49]

Answer:

ad= 15 fc= 9 eb= 22 i dont know what ag is im sorry, i think eg is 9

Step-by-step explanation:

sorry if i'm wrong i haven't done this in 3 years but i think they are right

3 0
3 years ago
Parallel lines are preserved in which of the following types of transformations?​
dedylja [7]

Answer:

The answer should D) I, II, and III

5 0
3 years ago
Mr. Rifkin had 240 digital and manual cameras. After donating 82 digital cameras and 26 manual cameras, he had 3 times as many d
nadya68 [22]
Oyebolatoba Beginner
Let d = # digital cameras
Let m = # manual cameras

d + m = 240 equation 1

(d-82) = 3(m-26) equation 2
d - 82 = 3m - 78
d - 3m = 82 - 78
d - 3m = 16 equation 2 simplified

We have two equations with 2 unknowns:

d + m = 240
d - 3m = 16 subtract equation 1 from equation 2
---------------
-4m = -224
m = -224/-4
m = 56

d + m = 240
d = 240-m
d = 240-56
d = 184

He started with 184 digital cameras and 56 manual cameras

5 0
3 years ago
The rectangle below has an area of x^2-4x-12 square meters and a length of x+2what expression represents the width of the rectan
Romashka [77]
X^2 - 4x - 12
x - 6
x +2

If L equals to x + 2 than W will equal to x - 6
4 0
3 years ago
Read 2 more answers
juan and debbie each earn 9 per hour at their "jobs." Debbie worked five hours more than juan during the week. if juan and debbi
Vaselesa [24]

Using a system of equations, it is found that Debbie worked 45 hours during the week.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Amount of hours worked by Juan.
  • Variable y: Amount of hours worked by Debbie.

Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:

9x + 9y = 765

Simplifying the expression by 9:

x + y = 85 -> x = 85 - y.

Debbie worked five hours more than juan during the week, hence:

y = x + 5.

Since x = 85 - y, we replace in the expression:

y = 85 - y + 5.

2y = 90.

y = 45.

Debbie worked 45 hours during the week.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

3 0
2 years ago
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