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12345 [234]
2 years ago
7

Please Help! Gabe Amodeo a nuclear physicists needs 80 liters of a 30% acid solution. He currently has a 20% and a 60% solution

How many liters of each does he need to make the needed 80 liters of 30% acid solution?
Mathematics
2 answers:
adelina 88 [10]2 years ago
6 0
He needs 6 litres of the 20% and 2 litres of the 60% a simple trial and error method will do in this type of equation
Nataly [62]2 years ago
3 0
Let x be the number of liters needed from the first acide concentration (20%)
Let y be the number of liters needed from the first acide concentration (60%)

We know at the end we will have:
x+y = 80 ; we also know that:
20%(x) + 60%(y) = 30%(80) OR 0.2x + 0.6y = 0.3(80) = 2x+6y=240

Hence we have :
x+y = 80
2x+6y = 240
Solving this system of 2 equations give: x = 60 and y = 20
In short you need to mix 60 litres at 20% and 20 liters at 60%

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Olenka [21]
Cost of air cooler:-3,300
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8 0
3 years ago
What is the equation of the line that is parallel to the line defined by the equation y = 3x + 6 and goes through the point (3,
saw5 [17]

Answer:

Step-by-step explanation:

Parallel lines have the same slope. The slope of the given line is 3. The easy way to do this, the one that uses our logical brains as opposed to our mathematical brain, tells us that since there is only one choice that has a given slope of 3, that is the one that we want. The second choice down is the only one that has a slope of 3.

Mathematically,

y-2=3(x-3) and

y-2=3x=9 and

y=3x-9+2 so

y = 3x - 7 (the second choice)

8 0
3 years ago
The surface area of a cube is 400 millimeters what is the surface area of a similar cube that is larger by a scale factor of 3
yuradex [85]
Larger by 3 means that the legnths of the sides are larger by 3 times
so we have a cube that has area of 400
surface area=legnth times width times 6 since it is a cube and legnth=width
so
SA=w^2 times 6

6w^2=400
divide by 6
w^2=200/3
square root both sides
w=√(200/3)
so w is 3 times larger
(3w)^2 times 6 is new area

w=√(200/3)
(3√(200/3))^2 times 6=9(200/3) times 6=600 times 6=3600

answer is 3600 ml^2
3 0
2 years ago
In △ABC, angle C is a right angle and BC > AC. Select all the statements that are true.
Alexus [3.1K]

△ABC  right angle C, leg BC > leg AC.  So angle A > angle B.

a=BC, b=AC, c=AB

a > b

sin A= cos B = a/c

sin B = cos A = b/c

a = c sin A = c cos B

b = c sin B = c cos A

a > b

c sin A > c sin B

sin A > sin B

c cos B > c cos A

cos B > cos A

Answer:  B, E

7 0
3 years ago
a 21​-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece
aivan3 [116]

The first board is approximately 0.45 the second board is approximately 0.9 and the third board is approximately 19.8

7 0
2 years ago
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