![\frac{12}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B12%7D%7B8%7D%20)
You first divide the numerator(top) by the denominator(bottom)
12÷8=<u />
Answer:
Step-by-step explanation:
cross multiply, ![\frac{4x + 3(x-1)}{12}\\\\](https://tex.z-dn.net/?f=%5Cfrac%7B4x%20%2B%203%28x-1%29%7D%7B12%7D%5C%5C%5C%5C)
![\frac{4x+3x-3}{12}\\ \\](https://tex.z-dn.net/?f=%5Cfrac%7B4x%2B3x-3%7D%7B12%7D%5C%5C%20%20%5C%5C)
![\frac{7x-3}{12} = 2 + x](https://tex.z-dn.net/?f=%5Cfrac%7B7x-3%7D%7B12%7D%20%3D%202%20%2B%20x)
![7x -3 = 12(2+x)\\\\7x - 3 = 24 + 12x\\\\12x - 7x = -3 - 24\\\\5x = -27 \\\\x = \frac{-27}{5} = -5.4](https://tex.z-dn.net/?f=7x%20-3%20%3D%2012%282%2Bx%29%5C%5C%5C%5C7x%20-%203%20%3D%2024%20%2B%2012x%5C%5C%5C%5C12x%20-%207x%20%3D%20-3%20-%2024%5C%5C%5C%5C5x%20%3D%20-27%20%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B-27%7D%7B5%7D%20%3D%20-5.4)
Answer: 30%
Step-by-step explanation:
Let A be the probability of a student opting for mathematics - it consists of either boy opting for mathematics or girl opting for mathematics. As there is "or" we need to sum these probabilities.
![P(A) = P(B)* P(M|G) + P(G)*P(M|G)](https://tex.z-dn.net/?f=P%28A%29%20%3D%20P%28B%29%2A%20P%28M%7CG%29%20%2B%20P%28G%29%2AP%28M%7CG%29)
![P(A) = \frac{1}{2} * \frac{20}{100} + \frac{1}{2} * \frac{40}{100}](https://tex.z-dn.net/?f=P%28A%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20%5Cfrac%7B20%7D%7B100%7D%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20%5Cfrac%7B40%7D%7B100%7D)
![P(A) = 3/10 = 0.3](https://tex.z-dn.net/?f=P%28A%29%20%3D%203%2F10%20%3D%200.3)
=> 30%
All parallel lines have the same slope. So the product of the slopes of line AB n a line parallel to AB is m*m=m^2
The smallest possible value is 2625