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MA_775_DIABLO [31]
3 years ago
14

A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. How many different combinations

of 5 friends could
possibly receive the tickets?
A. 13
B. 40
C. 56
D.64
Mathematics
1 answer:
blondinia [14]3 years ago
3 0
B is your correct answer
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suppose 5 men and 7 women are on a crowded elevator. at the next floor, four people get off the elevator. find the probability t
lubasha [3.4K]
The total number of arrangements for all of them to be women is:
C(7, 4) because the order does not matter; we'd still have the same arrangements.

Now, we can simplify this:
C(7, 4) = \frac{7!}{4!(7 - 4)!}
= \frac{5040}{4!3!}
= \frac{5040}{24 \cdot 6}
= \frac{5040}{144} = 35

Now, the total number of arrangements, without restriction, is simply: C(12, 4) because we don't care who we pick.

\text{P(4 women): } \frac{35}{495} = \frac{7}{99}
3 0
3 years ago
Please help me find the area of the triangle in terms of x!
Vitek1552 [10]

Answer:

Solution,\\Area~of~triangle=\frac{1}{2} (base)(height) = \frac{1}{2}(2x+\frac{1}{4}) (x-8)\\~~~~~~~~~~~~~~~~~~~~~~~~ =\frac{1}{2}[2x^2-16x+\frac{1}{4}x-\frac{1}{4}(8)]\\ ~~~~~~~~~~~~~~~~~~~~~~~~ =\frac{1}{2}[2x^2-\frac{63}{4}x - 2]\\~~~~~~~~~~~~~~~~~~~~~~~~=x^2-\frac{63}{8}x-1

7 0
3 years ago
John was given the equation 4(2a + 3)= -3(a - 1) + 31 - 11. Some steps an their reasons have already been completed. State a pro
cestrela7 [59]

Answer:

- Disitributive property.

- Addition property of equality.

Step-by-step explanation:

The complete exercise is attached.

For this exercise you need to remember the following properties:

1. The Distributive property states that:

c(a+b)=ac+bc\\\\c(a-b)=ac-bc

2. The Addition property of equality states that:

If\ a=b\ then\ a+c=b+c

Then, given the equation:

4(2a + 3)= -3(a - 1) + 31 - 11a

You can identify that the first property John used was the Distributive property:

(4)(2a) + (4)(3)= (-3)(a) +(-3)(- 1) + 31 - 11a\\\\8a+12=-3a+3+31-11a

After combining like terms, you can identify that the next  property he applied was the Addition property of equality, adding 14a to both sides of the equation:

8a+12+(14)=-14a+34+(14)\\\\22a+12=34

8 0
3 years ago
Find value of this fraction computation 6[1/2+2/3+3/4]
stepan [7]

Answer:

138

Step-by-step explanation:

The LCD here is 12.  Mult. each fraction within the brackets by 12 results in

6[6 + 8 + 9).  Perform the addition shown within the parentheses, and then mult. the resulting sum by 6:

6(23) = 138

6 0
3 years ago
All of these methods can be used to show that two triangles are similar EXCEPT
kvasek [131]
The answer is probably ss or SSA depending on your answer choices, if one of these isnt an answer choice let me know
7 0
3 years ago
Read 2 more answers
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