The solution to the simultaneous equation is x = 1 and y = 3
<h3>How to solve simultaneous equation?</h3>
1 / 3 x + y = 10 / 3
2x + 1 / 4 y = 11 / 4
multiply equation one by 3 and multiply equation 2 by 4
Therefore,
x + 3y = 10
8x + y = 11
hence,
x + 3y = 10
24x + 3y = 33
23x = 23
x = 23 / 23
x = 1
Therefore,
1 + 3y = 10
3y = 10 - 1
3y = 9
y = 9 / 3
y = 3
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Answer:
The volume of the concentrated 80 gallons mixture is 20 gallons
The volume of water in the 80 gallons mixture is 60 gallons
Step-by-step explanation:
The given parameters are;
The content of Container A = The cleaner
The concentration of the cleaner = 20% solution
The content of Container B = Pure water
The concentration of the desired solution = 5%
The volume of the required solution = 80 gallons
Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture
Therefore, we have;
20/100 × x + y×0 = 5/100×80
x + y = 80
y = 80 - x
20/100 × x + (80 - x)×0 = 5/100×80
0.2·x = 4
x = 4/0.2 = 20
x = 20 gallons
y = 80 - x = 80 - 20 = 60
y = 60 gallons
The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons
The volume of water in the 80 gallons mixture = y = 60 gallons.
Answer:
I need sum more detail
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Look at both rectangles and list each of the corners coordinates:
The rectangle on the left has coordinates:
R: (-4,-1)
S: (-1,-1)
T: (-1,-3)
U: (-4,-3)
Now because the rectangle transformed to a different location we should take the coordinates of each of its vertices to find what type of transformation this is:
R' : (4,-1)
S' : (1,-1)
T' : (1,-3)
U' : (4,-3)
We can notice that the difference between both sets of points is that the x-value changes sign and the y-values stay the same, therefore the answer is A
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the graph of g(x) is the graph of f(x) translated 3 units left .