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
Richard is 14 years old and Teo is 6 years old.
Step-by-step explanation:
Let,
Richard's age = x
Teo's age = y
Combined age = 20 years
According to given statement;
x+y=20 Eqn 1
x = 2y+2 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
Dividing both sides by 3
Putting y=6 in Eqn 2
Richard is 14 years old and Teo is 6 years old.
Keywords: linear equation, substitution method
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Answer:
It means that the roots of the quadratic equation are real and distinct
Step-by-step explanation:
Here, given the discriminant of the quadratic equation, we want to find out the nature of the solutions.
Mathematically, we can use to determine the nature of the discriminant.
By it’s formula;
D = b^2 - 4ac
We can see that the given discriminant 40 is a positive value. What this means is that the quadratic equation has roots which are real and are distinct
Answer:
I believe it's A
Step-by-step explanation:
Hope this helps!
