Answer:60
Step-by-step explanation: 60 is the biggest # you can divide both numbers by.
68% is around 70%
70% of 1 is 0.7
0.7'*3=2.1
Hope this helps :)
Answer:
Option A is correct.
Step-by-step explanation:
We are given:
![\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi](https://tex.z-dn.net/?f=%5Cfrac%7B2i%7D%7B2%2Bi%7D-%5Cfrac%7B3i%7D%7B3%2Bi%7D%20%3D%20a%2Bbi)
We need to find the value of a.
The LCM of (2+i) and (3+i) is (2+i)(3+i)
![=\frac{2i(3+i)}{(2+i)(3+i)}-\frac{3i(2+i)}{(2+i)(3+i)}\\=\frac{6i+2i^2}{(2+i)(3+i)}-\frac{6i+3i^2}{(2+i)(3+i)}\\=\frac{6i+2i^2-(6i+3i^2)}{(2+i)(3+i)}\\=\frac{6i+2i^2-6i-3i^2)}{5+5i}\\=\frac{-i^2}{5+5i}\\i^2=-1\\=\frac{-(-1)}{5+5i}\\=\frac{1}{5+5i}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2i%283%2Bi%29%7D%7B%282%2Bi%29%283%2Bi%29%7D-%5Cfrac%7B3i%282%2Bi%29%7D%7B%282%2Bi%29%283%2Bi%29%7D%5C%5C%3D%5Cfrac%7B6i%2B2i%5E2%7D%7B%282%2Bi%29%283%2Bi%29%7D-%5Cfrac%7B6i%2B3i%5E2%7D%7B%282%2Bi%29%283%2Bi%29%7D%5C%5C%3D%5Cfrac%7B6i%2B2i%5E2-%286i%2B3i%5E2%29%7D%7B%282%2Bi%29%283%2Bi%29%7D%5C%5C%3D%5Cfrac%7B6i%2B2i%5E2-6i-3i%5E2%29%7D%7B5%2B5i%7D%5C%5C%3D%5Cfrac%7B-i%5E2%7D%7B5%2B5i%7D%5C%5Ci%5E2%3D-1%5C%5C%3D%5Cfrac%7B-%28-1%29%7D%7B5%2B5i%7D%5C%5C%3D%5Cfrac%7B1%7D%7B5%2B5i%7D)
Now rationalize the denominator by multiplying by 5-5i/5-5i
![=\frac{1}{5+5i}*\frac{5-5i}{5-5i} \\=\frac{5-5i}{(5+5i)(5-5i)}\\=\frac{5-5i}{(5+5i)(5-5i)}\\(a+b)(a-b)= a^2-b^2\\=\frac{5(1-i)}{(5)^2-(5i)^2}\\=\frac{5(1-i)}{25+25}\\=\frac{5(1-i)}{50}\\=\frac{1-i}{10}\\=\frac{1}{10}-\frac{i}{10}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B5%2B5i%7D%2A%5Cfrac%7B5-5i%7D%7B5-5i%7D%20%5C%5C%3D%5Cfrac%7B5-5i%7D%7B%285%2B5i%29%285-5i%29%7D%5C%5C%3D%5Cfrac%7B5-5i%7D%7B%285%2B5i%29%285-5i%29%7D%5C%5C%28a%2Bb%29%28a-b%29%3D%20a%5E2-b%5E2%5C%5C%3D%5Cfrac%7B5%281-i%29%7D%7B%285%29%5E2-%285i%29%5E2%7D%5C%5C%3D%5Cfrac%7B5%281-i%29%7D%7B25%2B25%7D%5C%5C%3D%5Cfrac%7B5%281-i%29%7D%7B50%7D%5C%5C%3D%5Cfrac%7B1-i%7D%7B10%7D%5C%5C%3D%5Cfrac%7B1%7D%7B10%7D-%5Cfrac%7Bi%7D%7B10%7D)
We are given
![\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi](https://tex.z-dn.net/?f=%5Cfrac%7B2i%7D%7B2%2Bi%7D-%5Cfrac%7B3i%7D%7B3%2Bi%7D%20%3D%20a%2Bbi)
Now after solving we have:
![\frac{1}{10}-\frac{i}{10}=a+bi](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7D-%5Cfrac%7Bi%7D%7B10%7D%3Da%2Bbi)
So value of a = 1/10 and value of b = -1/10
So, Option A is correct.
Answer:
78
Step-by-step explanation:
do the equation backwards. 157 minus 1 equals 156, and 156 divided by 2 equals <u>78</u>. Hope this helps. pls mark brainliest
It would be 21 as a percent and 0.21 as a decimal