N is equal to 66. The two triangles are proportional, meaning that if you multiply the sides of the small triangle by the scale factor (2.33), you get the lengths of the big triangle.
<em><u>HOPE</u></em><em><u> </u></em><em><u>THIS</u></em><em><u> </u></em><em><u>WILL</u></em><em><u> </u></em><em><u>HELP</u></em><em><u> </u></em><em><u>YOU</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
10 liters.
Step-by-step explanation:
Let the volume of 2% acid be x liters.
Then the volume of the 8% solution will be (x + 30) liters.
Work in amounts of pure acid: amount of acid in the 10% solution = 30 * 0.1
= 3. So we have the equation:
0.02x + 3 = 0.08(x + 30)
0.08x - 0.02x = 3 - 0.08*30
0.06x = 0.6
x = 10
So the answer is 10 liter of the 2% solution.
Y = mx + b
slope(m) = 6
(20,220)....x = 20 and y = 220
now sub and find b, the y int
220 = 6(20) + b
220 = 120 + b
220 - 120 = b
100 = b
so ur equation is : y = 6x + 100
to graph :
y = 6x + 100.....u have a slope of 6....u have a y int of 100 or (0,100)...
I would say plot (0,100) and since ur slope is 6, go up 6 and to the right 1...but that is not to helpful because ur graph is not in intervals of 1.
So we will find some points on ur line.
y = 6x + 100....when x = 5
y = 6(5) + 100
y = 30 + 100
y = 130....so another point on ur line is (5,130)
y = 6x + 100...subbing in 10 for x
y = 6(10) + 100
y = 60 + 100
y = 160....another point is (10,160)
keep finding points this way...here are some more...
(15,190) , (20,220), (25,250)
Answer:
The answer is no solutions.
Step-by-step explanation:
use systems of equations!
first, rewrite both equations so that the sum or difference includes the same variable.
![9-4x=6y\\-4+2x=-3y](https://tex.z-dn.net/?f=9-4x%3D6y%5C%5C-4%2B2x%3D-3y)
notice how i made sure the coefficients that have x and y respectively line up.
with this, i can cancel out the x variables by making 2, and -4 as -8 (8+-8=0).
rewrite the equation.
![2(9-4x=6y)\\4(-4+2x=-3y)\\](https://tex.z-dn.net/?f=2%289-4x%3D6y%29%5C%5C4%28-4%2B2x%3D-3y%29%5C%5C)
distribute.
![18-8x=12y\\-16+8x=-12y](https://tex.z-dn.net/?f=18-8x%3D12y%5C%5C-16%2B8x%3D-12y)
now we can successfully cancel out the x variable!
![18=12y\\-16=-12y](https://tex.z-dn.net/?f=18%3D12y%5C%5C-16%3D-12y)
uh oh! it seems we can also cancel out the y variables..
![18=0\\-16=0](https://tex.z-dn.net/?f=18%3D0%5C%5C-16%3D0)
18 is not equal to 0 and neither is -16. because of this, we can conclude there is no solution for this system of equations.
hope this helps!!