Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.
<h3>
How many liters of each solution do we need to use?</h3>
First, we need to define the variables:
- x = liters of the 35% acid used.
- y = liters of the 80% acid used.
We know that we want to produce 60 liters of 65% acid, then we have the system of equations:
x + y = 60
x*0.35 + y*0.80 = 60*0.65
(in the second equation we wrote the percentages in decimal form).
To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:
x = 60 - y
Replacing that in the other equation:
(60 - y)*0.35 + y*0.80 = 60*0.65
y*(0.80 - 0.35) = 60*(0.65 - 0.35)
y*0.45 = 60*0.30
y = 60*0.30/0.45 = 40
So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.
If you want to learn more about systems of equations:
brainly.com/question/13729904
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<em>Please </em>use for reference. Merci.
To find rate of change simply divide y/x.
hour 2: 56/2=28
hour 4: 125/4~about 31.3 or 31
hour 5: 164/5=32.8 or ~ 33
hour 8: 271/8 ~ about 34 or 33.875
hour 13: 404/13 ~ about 31 or 31.0769231
What numbers are the largest?
hours 5 and 8
Thus, the correct answer was option C.
Answer:
12a²-14a-48
Step-by-step explanation:
4a(3a-8) + 6(3a-8)
= 12a²-32a+18a-48
=12a²-14a-48
[ Answer ]

[ Explanation ]
- Formula For Area Of Trapezoid:

-----------------------------------------
A = 10
B = 18
H = 6
- Plug Numbers Into Equation:

10 + 18 = 28
28 ÷ 2 = 14
14 · 6 = 84
84
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Answer:
E is not a subspace of 
Step-by-step explanation:
E is not a subspace of
In order to see this, we must find two points (a,b), (c,d) in E such that (a,b) + (c,d) is not in E.
Consider
(a,b) = (1,1)
(c,d) = (-1,-1)
It is easy to see that both (a,b) and (c,d) are in E since 1*1>0 and (1-)*(-1)>0.
But (a,b) + (c,d) = (1-1, 1-1) = (0,0)
and (0,0) is not in E.
By the way, it can be proved that in any vector space all sub spaces must have the vector zero.