Answer:
y= -2x-8
Step-by-step explanation:
the slope: m= -2
Answer:
D.
Step-by-step explanation:
Rearrange
![0.95x - 5.00 < 33.95](https://tex.z-dn.net/?f=0.95x%20-%205.00%20%3C%2033.95)
![0.95x](https://tex.z-dn.net/?f=0.95x%3C38.95)
![x](https://tex.z-dn.net/?f=x%3C%5Cfrac%7B38.95%7D%7B0.95%7D)
![x](https://tex.z-dn.net/?f=x%3C41)
Just multiply each fraction by 100
a. is (6*100) /100 = 6 per cent
b = (3*100) / 8 = 37.5 %
do same for the last 2
Answer:
![\large\boxed{\dfrac{36}{25}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cdfrac%7B36%7D%7B25%7D%7D)
Step-by-step explanation:
![\text{Use}\ a^{-n}=\dfrac{1}{a^n}\\\\\dfrac{5^{-2}\cdot9}{2^4\cdot4^{-3}}=(5^{-2}\cdot9):(2^4\cdot4^{-3})=\left(\dfrac{1}{5^2}\cdot9\right):\left(2^4\cdot(2^2)^{-3}\right)\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=\left(\dfrac{1}{25}\cdot9\right):(2^4\cdot2^{-6})\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\dfrac{9}{25}:2^{4+(-6)}=\dfrac{9}{25}:2^{-2}=\dfrac{9}{25}:\dfrac{1}{2^2}=\dfrac{9}{25}:\dfrac{1}{4}=\dfrac{9}{25}\cdot\dfrac{4}{1}=\dfrac{36}{25}](https://tex.z-dn.net/?f=%5Ctext%7BUse%7D%5C%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5C%5C%5C%5C%5Cdfrac%7B5%5E%7B-2%7D%5Ccdot9%7D%7B2%5E4%5Ccdot4%5E%7B-3%7D%7D%3D%285%5E%7B-2%7D%5Ccdot9%29%3A%282%5E4%5Ccdot4%5E%7B-3%7D%29%3D%5Cleft%28%5Cdfrac%7B1%7D%7B5%5E2%7D%5Ccdot9%5Cright%29%3A%5Cleft%282%5E4%5Ccdot%282%5E2%29%5E%7B-3%7D%5Cright%29%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%20%28a%5En%29%5Em%3Da%5E%7Bnm%7D%5C%5C%5C%5C%3D%5Cleft%28%5Cdfrac%7B1%7D%7B25%7D%5Ccdot9%5Cright%29%3A%282%5E4%5Ccdot2%5E%7B-6%7D%29%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%20a%5En%5Ccdot%20a%5Em%3Da%5E%7Bn%2Bm%7D%5C%5C%5C%5C%3D%5Cdfrac%7B9%7D%7B25%7D%3A2%5E%7B4%2B%28-6%29%7D%3D%5Cdfrac%7B9%7D%7B25%7D%3A2%5E%7B-2%7D%3D%5Cdfrac%7B9%7D%7B25%7D%3A%5Cdfrac%7B1%7D%7B2%5E2%7D%3D%5Cdfrac%7B9%7D%7B25%7D%3A%5Cdfrac%7B1%7D%7B4%7D%3D%5Cdfrac%7B9%7D%7B25%7D%5Ccdot%5Cdfrac%7B4%7D%7B1%7D%3D%5Cdfrac%7B36%7D%7B25%7D)
Answer:
0.352
or 6/17
Step-by-step explanation:
There are 17 marbles in all. There are 6 blue ones, so that means there's a probability of getting 6 out of 17, which is 6/17. To get the decimal I just divided 17 into 6 and rounded.