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Nostrana [21]
2 years ago
5

Solve: (-5) + (-18) A -23B- 13C 13D 23​

Mathematics
1 answer:
Lina20 [59]2 years ago
8 0
The answer would be -23
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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
Joe decides to take his six year old son to the planetarium. The price for the child's ticket is 5.75 dollars less than the pric
zaharov [31]
It would be x + 5.75 because the child ticket is 5.75 less than the adult ticket so to solve how to get the adult ticket you do the opposite
6 0
3 years ago
Read 2 more answers
Alma and Crystal went out to et and spent $16. They wanted to tip the waitress 15%, what was the total cost of their meal includ
Licemer1 [7]

Answer:

B: $18.40

Step-by-step explanation:

100% is equal to $16 so 5% would be 16/20 or $0.80 then to get 15% you would multiply $0.80 by 3 which is $2.40. This is the tip. Then do $16 + $2.40 and the total + tip is $18.40. (Double check to make sure I'm correct)

8 0
2 years ago
Read 2 more answers
What is the value of the expression when y = 2? StartFraction 2 minus y Over 4 plus y EndFraction plus StartFraction 3 (y plus 2
andre [41]

Answer:

12

Step-by-step explanation:

4 0
3 years ago
Find the missing number so that the equation has no solutions. 5x+1-3x=_x+13
joja [24]

Answer:

You may just add 2 in the spot. Moreover, you get no solution.

Step-by-step explanation:

Hope this helped!

7 0
3 years ago
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