We are given with the equation <span>d + 3n = 1 and asked to solve for n in the problem. the first step is to apply subtraction property by subtracting d to each side of the equation. Hence 3 n = 1 - d. next, we use division property by dividing the whole equation by 3. hence n = (1 - d) / 3</span>
The answer is 122. With any decimal lower than .5, always round down. Whit any decimal .5 or higher, round up.
Step 1: Find the slope:
![m= \dfrac{y_2-y_1}{x_2-x_1}= \dfrac{-2-7}{4-(-2)} = \dfrac{-9}{6}= -\dfrac{3}{2}](https://tex.z-dn.net/?f=m%3D%20%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%20%5Cdfrac%7B-2-7%7D%7B4-%28-2%29%7D%20%3D%20%20%5Cdfrac%7B-9%7D%7B6%7D%3D%20-%5Cdfrac%7B3%7D%7B2%7D)
This gives you
, but we need to find b.
To find b, substitute in one (x,y) pair and it doesn't matter which one. I'll go with (4,-2):
![\begin{aligned}-2&=-\dfrac{3}{2}(4)+b\\[0.5em]-2&=-6+b\\[0.5em]4&=b\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D-2%26%3D-%5Cdfrac%7B3%7D%7B2%7D%284%29%2Bb%5C%5C%5B0.5em%5D-2%26%3D-6%2Bb%5C%5C%5B0.5em%5D4%26%3Db%5Cend%7Baligned%7D)
Now take that b-value and plug in into the slope-intercept form:
![y=-\dfrac{3}{2}x+4](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B3%7D%7B2%7Dx%2B4)
It's always a good idea to toss in the other x-value from the other point, to make sure it checks out.
1 6
--- = ---
a 18
- simplify 6/18, which should be 1/3. therefore, a = 3.
Answer:
7/11
Step-by-step explanation:
<h3>
Since one of the blue marbles are gone, there 4 blue marbles and 7 orange marbles. To pick an orange marble, the probability is the number of orange marbles over the total marbles. This equals to 7/11.</h3>