Answer:
![x\geq -\frac{3}{4}](https://tex.z-dn.net/?f=x%5Cgeq%20-%5Cfrac%7B3%7D%7B4%7D)
Step-by-step explanation:
![-8x+5\leq 11\\\\1. -8x\leq 11-5\\ -8x\leq 6](https://tex.z-dn.net/?f=-8x%2B5%5Cleq%2011%5C%5C%5C%5C1.%20-8x%5Cleq%2011-5%5C%5C%20%20%20-8x%5Cleq%206)
Isolate the parts of the equation with the x variable
![2. \frac{-8}{-8} x\geq\frac{6}{-8} \\x\geq -\frac{3}{4}](https://tex.z-dn.net/?f=2.%20%5Cfrac%7B-8%7D%7B-8%7D%20x%5Cgeq%5Cfrac%7B6%7D%7B-8%7D%20%20%5C%5Cx%5Cgeq%20-%5Cfrac%7B3%7D%7B4%7D)
When you divide or multiply by a negative number in inequalities, you must flip the sign of the inequality.
Given:
Violinists : Cellists = 7:3.
Number of violinists in the school orchestra = 21
To find:
The combined number of cellists and violinists.
Solution:
Let the number of violinists and cellists in the school orchestra are 7x and 3x respectively.
Then, combined number of cellists and violinists is
![\text{Combined number of cellists and violinists}=7x+3x](https://tex.z-dn.net/?f=%5Ctext%7BCombined%20number%20of%20cellists%20and%20violinists%7D%3D7x%2B3x)
...(i)
Number of violinists in the school orchestra = 21
![7x=21](https://tex.z-dn.net/?f=7x%3D21)
Divide both sides by 7.
![x=3](https://tex.z-dn.net/?f=x%3D3)
Now, the combined number of cellists and violinists is
[Using (i)]
![\text{Combined number of cellists and violinists}=30](https://tex.z-dn.net/?f=%5Ctext%7BCombined%20number%20of%20cellists%20and%20violinists%7D%3D30)
Therefore, the combined number of cellists and violinists is 30.
Answer:
5
Step-by-step explanation:
To find the slope, you use rise/run. In this case... the rise is 5 up and the run is 1 across. Therefore it is 5/1 which is the same as 5. Hope this helped!