Answer:
x = 6
Step-by-step explanation:
We want to solve:
![\frac{-2}{3} x+9=\frac{4}{3} x-3](https://tex.z-dn.net/?f=%5Cfrac%7B-2%7D%7B3%7D%20x%2B9%3D%5Cfrac%7B4%7D%7B3%7D%20x-3)
First, isolate the variable by moving all the terms with x to one side and all the constants to the other side:
![\frac{4}{3}x +\frac{2}{3} x=9+3](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7Dx%20%2B%5Cfrac%7B2%7D%7B3%7D%20x%3D9%2B3)
Combining the fraction on the left, we get:
![\frac{6}{3} x=12](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B3%7D%20x%3D12)
6/3 = 2, so:
2x = 12
Dividing both sides by 2 yields:
x = 6
Answer: P = 3/10
Step-by-step explanation:
Given: The total number of marbles - 5 + 2 + 3 = 10
The number of black balls = 2
Then the number of balls which are not black 10 - 2 = 9
Then the probability of not drawing a black marble is given by
P(Not Black) = Not black = 8/10 = 4/5
-------------
Total
The number of red marbles = 3
Then the probability of drawing a red marble is given
P(Red) = Red = 3/10
------
Total
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
tanx =
, then
tanx = ![\frac{1}{\sqrt{3} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7B3%7D%20%7D)
x =
(
) = ![\frac{\pi }{6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B6%7D)
Hence x =
+ kπ ( k ∈ Z )