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netineya [11]
2 years ago
10

6. A(n) ______ must contain an equals sign. Fill in the blank

Mathematics
1 answer:
Kamila [148]2 years ago
4 0

Answer:

equation

Step-by-step explanation:

equations must have equal signs.

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KIM [24]

Answer:

A. a) 24

A. b) 4

B. a) 40320

B. b) 576

Step-by-step explanation:

General formula for Permutations:

P(n,r) = \frac{n!}{(n - r)!}

A. Concert seats:  2 couple --- total of 4 persons.

a) without restrictions

Since there are no restrictions, but that the order is important (John, Mary, Paul, Michelle isn't the  same as Michelle, Mary, Paul, John), it's a permutation calculation.

Then we calculate the permutations of 4, out of 4, so...

P(4,4) = \frac{4!}{(4 - 4)!} = 4! = 24

24 different ways for them to sit.

b) couples together

Now, we can see the problem as having 2 levels of permutations, first the couples, then inside the couples.

There are 2 ways for the first level or order... couples AB or BA, so 2 possibilities.

Inside each couple, man then woman (MW) or woman then man (WM), so 2 possibilities there too on 2nd level.

Overall 2 * 2 = 4 ways to sit by couple.

B) Single file

a) without restrictions

Again, order is important, so another permutation, not a combination.  And since we have no restriction, it can be any sequence.

We then have to calculate the number of permutations of 8 out of 8...

P(8,8) = \frac{8!}{(8 - 8)!} = 8! = 40320

There are 40,320 ways these 8 kids can pass the door.

b) girls first.

So, the four girls have to enter first.... and these four girls can be in any order.. how many permutations? P(4,4)... so 24 as calculated above.

For the four boys, how many permutations?  Yes, again P(4,4)... so 24 again.

Overall, we need to multiply the two... 24 x 24 = 576 ways if the girls enter first, followed by the boys.

8 0
3 years ago
Answer this Please (10) points for this ​
Alexeev081 [22]
I wanna say it is 49 I answered on my calculator!
8 0
2 years ago
Read 2 more answers
David made a popcorn snack. he mixed five eight of popcorn with half gallon of dried apple rungs. did he use more dried apple ri
Fantom [35]
JUST DIVIDE ALL UR NUMB RS AND SEE WHICH IS THE HIGHEST
6 0
2 years ago
What is the truth value of (~p V q) ^ r if p is true, q is false, and r is true?
disa [49]

Answer:

i dont know im only getting points for this so i dont

fail and my mother hate me more for having to F's and to C's she wants all A's  but pls dont get upset  at me for not answering this    pls it would be helpful

4 0
3 years ago
What is the solution to this inequality?
Alika [10]

Answer:

<h2>A</h2>

Step-by-step explanation:

<em><u>e5uiitweyutwwsuoye34t</u></em>

3 0
3 years ago
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