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2 years ago

14

A box contains 84 chocolates, of which 63 are dark chocolates. The rest are milk chocolates. What is the ratio of milk chocolate

s to the total number of chocolates in the box?

1 answer:

loris [4]2 years ago

3 0

Answer: 21:84

Explanation:

84-63=21, and then just do 21:84 lol

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Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

<u>Step-by-step explanation:</u>

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

3 0

2 years ago

What is the answer for the picture that is linked below?

____ [38]

Answer:

18%

Step-by-step explanation:

6840:38000*100 =

(6840*100):38000 =

684000:38000 = 18

3 0

2 years ago

Hiii please help i’ll give brainliest if you give a correct answer please thanks!

yKpoI14uk [10]

Answer:

<h3>Step-by-step explanation: for #2, look at 6 3/4 and make it into a decimal. Do the same to 7 1/2. Compare them both to see which one is shorter by subtracting 6 3/4 from 7 1/2 and when you get your answer for that, make that into a fraction. Predict that 6 3/4 is shorter because of how much less it is compared to 7 1/2. (I hope I helped you in some way. Good luck!)</h3>

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2 years ago

5. Guests are given a random goodie bag at a party. There are less than 15 bags, but more than 8. Part A: How many bags were pre

Artemon [7]

Answer:

12 bags

Step-by-step explanation:

Number of the bags = between 8 and 15 and

1/2 of bags contain money
1/6 of bags contain candy
1/3 of bags contain a toy

As per above the number is divisible by 2, 3 and 6. LCM of the three numbers is 6.

<u> The number between 8 and 15 and divisible by 6:</u>

This number is 6*2 = 12

So the number of bags is 12

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2 years ago

What is the multiplicative rate of change of the function???

laiz [17]

Answer:
i think its 2/3

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2 years ago