Answer:
0.133 ml
Step-by-step explanation:
The two available solutions to be used in the mixture are a 70% solution and a 85% solution
.
x = volume of 70% solution
y = volume of 85% solution
y = 2 ml
Therefore;
0.7 x + 0.85(2) = 0.75(x+2)
0.7x + 1.7 = 0.75x + 1.5
multiply through by 10 to get rid of the decimals
7x + 17 = 7.5x +15
collecting and simplifying
-0.5 x = -0.2
divide both sides by -1.5
x = -0.2/-1.5
x = <u>2/15 ml or 0.1333 ml</u>
Answer:
2) 2x = y + 13
Step-by-step explanation:
We have to translate the given information into an equation. We don't know what the numbers are yet, so let the first number be represented by the variable x and the second number be represented by the variable y.
Start by breaking the sentence apart. "2 times the first number" gives us 
. The "is" in the sentence means that equals something, bringing us to 
. Finally, it says "13 more than the second number." 13 more would mean you have to add to the second number, represented by y, so this gives us 
. Put it all together and it is 
.
The statement correctly describes the graph of y = ln(x - 7) + 3 is translated 3 units up as well as 7 units to the right.
<h3>what is the graph of logarithmic function?</h3>
The graph of a logarithmic function has a vertical asymptote at x = 0. The graph of a logarithmic function will decrease from left to right
if 0 < b < 1. And if the base of the function is greater than 1, b > 1, then the graph will increase from left to right.
Given graph : y = ln(x), has a vertical and horizontal translation.
As we know, y = ln(x - h) + k | where h is the vertical shift, and k is the horizontal shift.
- If ln(x - k), then the graph is translated right k units.
- If ln(x + k), then the graph is translated left k units.
- If ln(x) + h, then the graph is translated up h units.
- If ln(x) - h, then the graph is translated down h units.
Therefore, comparing y = ln(x - 7) + 3 it with different function we can write the graph of y = ln(x - 7) + 3 is translated 3 units up as well as 7 units to the right.
Learn more about this concept here:
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The answer is $1.50.
Reason being is because $13/$2 is $6.5
Then after you divide you have to subtract $5
Which will give you $1.50
Answer: -1
Step-by-step explanation:
