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vagabundo [1.1K]
3 years ago
6

8s-10=27-(3s-7) What does “s” equal?

Mathematics
1 answer:
DIA [1.3K]3 years ago
8 0

Answer:

s = 4

Step-by-step explanation:

Solve for s:

8 s - 10 = 34 - 3 s

Add 3 s to both sides:

8 s + 3 s - 10 = (3 s - 3 s) + 34

3 s - 3 s = 0:

8 s + 3 s - 10 = 34

8 s + 3 s = 11 s:

11 s - 10 = 34

Add 10 to both sides:

11 s + (10 - 10) = 10 + 34

10 - 10 = 0:

11 s = 34 + 10

34 + 10 = 44:

11 s = 44

Divide both sides of 11 s = 44 by 11:

(11 s)/11 = 44/11

11/11 = 1:

s = 44/11

The gcd of 44 and 11 is 11, so 44/11 = (11×4)/(11×1) = 11/11×4 = 4:

Answer:  s = 4

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In how many ways can a committee of three men and three women be formed from a group of eight men and seven women
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<h3>Answer:  1960 </h3>

==========================================================

Explanation:

Order doesn't matter when it comes to committees without rankings. Each person on the committee is of equal rank to anyone else. This means we'll use a combination instead of a permutation.

We have 8 men and 3 seats to fill for the men. Plug n = 8 and r = 3 into the nCr combination formula

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8 C 3 = (8!)/(3!*(8-3)!)

8 C 3 = (8!)/(3!*5!)

8 C 3 = (8*7*6*5*4*3*2*1)/((3*2*1)*(5*4*3*2*1))

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This means there are 56 ways to select the three men from a pool of eight.

Through similar steps, you should plug n = 7 and r = 3 into the nCr combination formula to get 7 C 3 = 35. This means there are 35 ways to pick the three women from a pool of seven.

Overall, there are 56*35 = 1960 ways to select the entire committee of 3 men and 3 women (from a pool of 8 men and 7 women).

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