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<u>ANSWER: </u>
110ML of 35% acid solution must be mixed with 10ML of 95% solution to obtain 120ML of 40% solution.
<u>SOLUTION: </u>
First, set up table. fill in the unknowns with variables x and y. The table is attached below.
From the table shown below, we can easily set up the two equations.
Sum of values of two acids = Value of mixture
0.35x + 0.95y = 48
For convenience, we will multiply the entire equation by 100,
35 x + 95y = 4800 ------ (1)
Now, Sum of amounts of each acid = Amount of mixture
x + y = 120 --------- (2)
Multiply eqn 2 with 35 for easy calculation and derive the equation into one variable.
35 = 35x + 35y = 4200
Subtracting equation (2) from (1), we get
0 + 60y = 600
Thus, 60y = 600
Substituting y = 10 in (2),
35x + 35(10) = 4200
35x + 350 = 4200
35x = 4200 - 350
35x = 3850
So, we have x = 110 and y = 10
We can conclude that 110ML of 35% acid solution must be mixed with 10ML of 95% solution to obtain 120 ML of 40% solution.
Answer:
Option d
Step-by-step explanation:
If the graph of the function represents the transformations made to the graph of
then, by definition:
If then the graph is compressed vertically by a factor c.
If then the graph is stretched vertically by a factor c.
If then the graph is reflected on the x axis.
If the graph moves vertically upwards.
If the graph moves vertically down
In this problem we have the function and our parent function is
therefore it is true that and
Therefore the graph of is not stretched vertically and is not reflected. however as
then the graph moves vertically 9 units down. <u><em>Observe the image</em></u>
The answer is <em>"vertical translation down 9 units"</em>
