1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.
For given question,
Let x be the quantity ( in liters ) of glycerin added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin,
Thus,
Quantity of glycerin in 12 liters + Quantity of glycerin in x
= Quantity of glycerin in resultant mixture.
⇒ 8% of 12 + 100% of x = 16% of (12 + x )
⇒ 0.08 × 12 + x = 0.16 × ( 12 + x )
⇒ 0.96 + x = 0.16 × 12 + 0.16x
⇒ 0.96 + x = 1.92 + 0.16x
⇒ x - 0.16x = 1.92 - 0.96
⇒ 0.84x = 0.96
⇒ x = 1.143 liters
Therefore, 1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.
Learn more about the resulting solution here:
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Answer: 1/3
Step-by-step explanation:
1/
2
−
1
/6
=
1
/2
−
1
/6
=
1
/2
+ −1
/6
=
3
/6
+ −1
/6
=
3+−1
/6
=
2
/6
=
1
/3
(Decimal: 0.333333)
Answer: 
Step-by-step explanation:
The nth term for a geometric sequence is given by :-
(1)
We are given that The first term in a geometric sequence is 54. i.e. a=54
5th term=
(2)
Put n=5 and a= 54 in (1), we get
(3)
From (2) and (3), we have
Explicit form for the geometric sequence:
AB=DE is a true statement
Answer:
The slope is 3/5.
Step-by-step explanation:
I am assuming you mean
10x + 6y = 84
6y = -10x + 84
y = -5/3 x + 14.
So the slope of this line is -5/3 and the slope of a line perpendicular to it is
-1 / -5/3 = 3/5.
