The answer would be 2 1/20
M- 3/10
T- 6/10 (3/10 times two)
W- 1/4
Th- 1/2
F- 2/5
To add these together, first you need to simplify:
-6/10+ 3/10 is simple because it has the same denominator (10). It would be 9/10.
-1/2 = 2/4, so 1/4+2/4= 3/4
So now we are left with 9/10+ 3/4+ 2/5
Write out all numerators above the least common denominator of 20.
18+15+8/20 = 41/20
20 goes into 41 twice with a remember of 1. So your simplified version would be 2 1/20.
128+129=257..............................
so.. the left-hand-side does indeed simplify to x+7, so the equation does check out.
however, notice something, for the equation of x+7, when x = 6, we get (6) + 7 which is 13.
BUT for the rational, we get
so, even though the siimplification is correct, the rational or original expression is constrained in its domain.
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
