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ollegr [7]
3 years ago
8

What's 3x + 10 - x + 12

Mathematics
2 answers:
Zinaida [17]3 years ago
5 0
2x+22 is the answer.
tatyana61 [14]3 years ago
3 0
Correct! Your answer is B. 2x+22, here's why it is though: 
<span>=<span><span><span><span><span>3x</span>+10</span>+</span>−x</span>+12
</span></span><span>=<span><span><span><span>3x</span>+10</span>+<span>−x</span></span>+12 — C</span></span>ombine like terms:
<span>=<span><span>(<span><span>3x</span>+<span>−x</span></span>)</span>+<span>(<span>10+12</span>)
Answer:
</span></span></span><span>=<span>2x<span>+22

</span>Good luck with your studies, I hope this helps~!</span></span>
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A committee of 5 people is to be chosen from a group of 8 women and 10 men. How many diffferent committees are possible? How man
Jet001 [13]
A) 5 to be chosen among a Total : 10 Men + 8 Women

¹⁸C₅ = (18!)/(5!)(13!) = 8,568 groups of five

b) A must to have men and women. If so we have to deduct all groups of 5 that are all men and all group of 5 that are all women
Groups of 5 with only men: ¹⁰C₅ = 252
Groups of 5 with only women: ⁸C₅ = 56

So number of committees of 5 men and women mixed =
8568 - 252 - 56 = 8,260 committees 

c) 3 Women and 2 Men:

⁸C₃ x ¹⁰C₂ = 2,520 groups of 3 W and 2 M

d) More women than men, it means:
  3 W + 2 M OR (we have found it in c) = 2,520)
  4 W + 1 M OR   ⁸C₄ x ¹⁰C₁   →→→→ =    700
  5 W + 0 M OR   ⁸C₅ x ¹⁰C₀   →→→→  =     56

Total where W>M = 3,276 groups of 5 where women are at least 3


3 0
3 years ago
Given the figure. Find AC.
Angelina_Jolie [31]

Image is missing, so i have attached it.

Answer:

AC = 10sin 40°

Step-by-step explanation:

From the diagram attached, using terms in trigonometric ratio, AC is the opposite side, BC is the adjacent side and AB is the hypotenuse.

Thus, since we want to find AC;

We know that in trigonometric ratios; opposite/hypotenuse = sin θ

In the diagram, θ = 40° and AB = 10

Thus,

AC/10 = sin 40°

Multiply both sides by 10 to get;

AC = 10sin 40°

7 0
3 years ago
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Y=-3x+-1. you subtract (-4)-(-1) =3 and 1-0 and you get 1 . so the slope is 3 over 1 . and the y intercept is -1
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Step-by-step explanation: edge

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