From what I can see from the black and white looking picture, try 2/8 :)
Total volume = 3 litres
Volume of each glass = 1/4 litre
Divide 3 by 1/4
3 / (1/4)
3* (4/1)
= 12 glasses
![\dfrac{2}{\sqrt{2+\sqrt2}}=\dfrac{2}{\sqrt{2+\sqrt2}}\cdot\dfrac{\sqrt{2-\sqrt2}}{\sqrt{2-\sqrt2}}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B%5Csqrt%7B2%2B%5Csqrt2%7D%7D%3D%5Cdfrac%7B2%7D%7B%5Csqrt%7B2%2B%5Csqrt2%7D%7D%5Ccdot%5Cdfrac%7B%5Csqrt%7B2-%5Csqrt2%7D%7D%7B%5Csqrt%7B2-%5Csqrt2%7D%7D)
<em>use √(ab) = √a · √b</em>
![=\dfrac{2\sqrt{2-\sqrt2}}{\sqrt{(2+\sqrt2)(2-\sqrt2)}}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B2%5Csqrt%7B2-%5Csqrt2%7D%7D%7B%5Csqrt%7B%282%2B%5Csqrt2%29%282-%5Csqrt2%29%7D%7D)
<em>use (a + b)(a - b) = a² - b²</em>
![=\dfrac{2\sqrt{2-\sqrt2}}{\sqrt{2^2-(\sqrt2)^2}}=\dfrac{2\sqrt{2-\sqrt2}}{\sqrt{4-2}}=\dfrac{2\sqrt{2-\sqrt2}}{\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B2%5Csqrt%7B2-%5Csqrt2%7D%7D%7B%5Csqrt%7B2%5E2-%28%5Csqrt2%29%5E2%7D%7D%3D%5Cdfrac%7B2%5Csqrt%7B2-%5Csqrt2%7D%7D%7B%5Csqrt%7B4-2%7D%7D%3D%5Cdfrac%7B2%5Csqrt%7B2-%5Csqrt2%7D%7D%7B%5Csqrt2%7D%5Ccdot%5Cdfrac%7B%5Csqrt2%7D%7B%5Csqrt2%7D)
<em>use √a · √a = a and √(ab) = √a · √b</em>
![=\dfrac{2\sqrt{2\cdot2-\sqrt2\cdot2}}{2}=\sqrt{4-2\sqrt2}\\\\Answer:\ \boxed{\dfrac{2}{\sqrt{2+\sqrt2}}=\sqrt{4-2\sqrt2}}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B2%5Csqrt%7B2%5Ccdot2-%5Csqrt2%5Ccdot2%7D%7D%7B2%7D%3D%5Csqrt%7B4-2%5Csqrt2%7D%5C%5C%5C%5CAnswer%3A%5C%20%5Cboxed%7B%5Cdfrac%7B2%7D%7B%5Csqrt%7B2%2B%5Csqrt2%7D%7D%3D%5Csqrt%7B4-2%5Csqrt2%7D%7D)
Answer:
N/A
Step-by-step explanation:
What is line AC, was there supposed to be a picture?
The answer would be 25200
Reason being because there is a number of ways when selecting (3 consonants out of 7) and (2 vowels out of 4)
= (7C3 x 4C2)
= 7 x 6 x 5 /3 x 2 x 1 x 4 x 3/ 2 x 1
= 210.
The number of groups each having 3 consonants and 2 vowels = 210.
Because each group contains 5 letters.
They have to be rearranged
5 letters among themselves = 5!
= 5 x 4 x 3 x 2 x 1
= 120.
Required number of ways = (210 x 120) = 25200.