There are 5 little lines between 0 and -1, so each line represents 1/5.
B is located 3 lines to the left of -1, so it would be located at - 1 3/5.
Am absolute value is a positive number so - 1 3/5 would become 1 3/5.
The answer would be A. 1 3/5
Answer:
![\boxed{(\frac{3}{2} ,-1)}](https://tex.z-dn.net/?f=%5Cboxed%7B%28%5Cfrac%7B3%7D%7B2%7D%20%2C-1%29%7D)
Step-by-step explanation:
![\left \{ {{2x-3y=6} \atop {4x+2y=4}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B2x-3y%3D6%7D%20%5Catop%20%7B4x%2B2y%3D4%7D%7D%20%5Cright.)
It seems this system of equations would be solved easier using the elimination method (the x and y values are lined up).
Multiply everything in the first equation by -2 (we want the 4x to be able to cancel out with a -4x).
![2x-3y=6 \rightarrow -4x+6y=-12](https://tex.z-dn.net/?f=2x-3y%3D6%20%5Crightarrow%20-4x%2B6y%3D-12)
Now line up the equations (they are already lined up - convenient) and add them from top to bottom.
![\left \{ {{-4x+6y=-12} \atop {4x+2y=4}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B-4x%2B6y%3D-12%7D%20%5Catop%20%7B4x%2B2y%3D4%7D%7D%20%5Cright.)
The -4x and 4x are opposites, so they cancel out.
Adding 6y and 2y gives you 8y, and adding -12 and 4 gives you -8.
![8y=-8](https://tex.z-dn.net/?f=8y%3D-8)
Divide both sides by 8.
![y=-1](https://tex.z-dn.net/?f=y%3D-1)
Since you have the y-value you can substitute this in to the second (or first equation, it doesn't necessarily matter) equation.
![4x +2(-1)=4](https://tex.z-dn.net/?f=4x%20%2B2%28-1%29%3D4)
Simplify.
![4x -2=4](https://tex.z-dn.net/?f=4x%20-2%3D4)
Add 2 to both sides.
![4x=6](https://tex.z-dn.net/?f=4x%3D6)
Divide both sides by 4.
![x=\frac{6}{4} \rightarrow\frac{3}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B6%7D%7B4%7D%20%5Crightarrow%5Cfrac%7B3%7D%7B2%7D)
The final answer is
.
![(\frac{3}{2} ,-1)](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B2%7D%20%2C-1%29)
![3,107\div 350\approx8.9](https://tex.z-dn.net/?f=3%2C107%5Cdiv%20350%5Capprox8.9)
So she need at least 9 cans.
Answer:
8+7
Step-by-step explanation:
Absolute value is when you calculate how far away the number is from zero.
Since 8 is 8 spaces away from zero, then the absolute value of 8 is 8.
Since -7 is 7 spaces away from zero, then the absolute value of -7 is 7.
So, in conclusion, an equivalent expression can be 8+7
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