Answer: 11/4
Step-by-step explanation:
11/4 simplifies to 2.75= 2 75/100= 2 3/4 which is the number on the number line.
42%, 17/40, .43 that’s the order
Answer:
Step-by-step explanation:
The amount of red pepper that Harvey has is r red peppers and one fourth as many orange peppers. What this means is that the number of orange pepper that Harvey has is one fourth the number of red peppers. Since the number of red pepper is r, therefore the number of orange pepper is given as:
Number of orange pepper = ![\frac{1}{4} \ of\ red\ pepper(r)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20%5C%20of%5C%20red%5C%20pepper%28r%29)
![Number\ of\ orange\ pepper=\frac{1}{4}r](https://tex.z-dn.net/?f=Number%5C%20of%5C%20orange%5C%20pepper%3D%5Cfrac%7B1%7D%7B4%7Dr)
Answer:
![\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)](https://tex.z-dn.net/?f=%5Cleft%28%20-%5Cdfrac%7B4%7D%7B25%7D%2C%20-%5Cdfrac%7B98%7D%7B25%7D%20%5Cright%29)
Step-by-step explanation:
![x+2y=-8 \\\\y=12x-2](https://tex.z-dn.net/?f=x%2B2y%3D-8%20%5C%5C%5C%5Cy%3D12x-2)
Substitute:
![x+2(12x-2)=-8](https://tex.z-dn.net/?f=x%2B2%2812x-2%29%3D-8)
Expand:
![x+24x-4=-8](https://tex.z-dn.net/?f=x%2B24x-4%3D-8)
Simplify:
![25x=-4](https://tex.z-dn.net/?f=25x%3D-4)
Divide both sides by 25:
![x=-\dfrac{4}{25}](https://tex.z-dn.net/?f=x%3D-%5Cdfrac%7B4%7D%7B25%7D)
Plug this back into one of the original equations to find y:
![-\dfrac{4}{25}+2y=-8 \\\\\\2y=-7 \dfrac{21}{25}=-\dfrac{196}{25} \\\\\\y=-\dfrac{98}{25}](https://tex.z-dn.net/?f=-%5Cdfrac%7B4%7D%7B25%7D%2B2y%3D-8%20%5C%5C%5C%5C%5C%5C2y%3D-7%20%5Cdfrac%7B21%7D%7B25%7D%3D-%5Cdfrac%7B196%7D%7B25%7D%20%5C%5C%5C%5C%5C%5Cy%3D-%5Cdfrac%7B98%7D%7B25%7D)
The ordered pair that represents this solution is therefore:
![\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)](https://tex.z-dn.net/?f=%5Cleft%28%20-%5Cdfrac%7B4%7D%7B25%7D%2C%20-%5Cdfrac%7B98%7D%7B25%7D%20%5Cright%29)
Hope this helps!