Use c1v1+c2v2=c3v3
where c=concentration, v=volume.
C1=0.12
V1=20 L
C2=0.36
V2=X
C3=0.20
V3=20+X L
Substitute in equation
0.12(20) + 0.36X = 0.20(20+X)
Expand
2.4 + 0.36X = 4 + 0.2X
Simplify
(0.36-0.2)X = 4-2.4
0.16X = 1.6
X=1.6/0.16 = 10 L
check:
0.12(20)+0.36(10)=2.4+3.6=6.0
(20+10)*0.20 = 6.0 so solution is good.
Answer: Volume of 36% solution is 10L
<h3>
Answer: Slope = -3/7</h3>
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Apply the slope formula
m = (y2-y1)/(x2-x1)
m = (6-3)/(-9-(-2))
m = (6-3)/(-9+2)
m = 3/(-7)
m = -3/7
This means each time you go down 3 units, you go to the right 7 units.
Slope = rise/run = -3/7
rise = -3 and run = 7
Since line t is a transversal line all angle which are perpendicular with 63 will equal to the same value (63) and also line m is a straight line where it’s total will be 180
So,
3x + 2x + 63 = 180
5x + 63 = 180
5x = 180 - 63
5x = 117
Divide by 5 throughout
X = 23.4degrees
Any number that can be written as a postivite or negative and counting # s
