Which symbol will make |-6| ? -6 true? A > B < C =
1 answer:
You might be interested in
Answer:
2/7 ml
Step-by-step explanation:
When we have a solution expressed in Q mg/ml, the concentration is (Q/10)%.
For example, a solution of 3 mg/ml is a 3/10=0.3% concentration solution, a solution of 40 mg/ml is a 40/10=4% concentration solution.
<em>Why? </em>
Q mg/ml means that 1 ml of solution has Q mg of the drug or active component. So, 100 ml have 100*Q mg.
But 100*Q mg = Q/10 grams.
If a solution has Q/10 grams in 100 ml, then it is a (Q/10)% concentration.
Now, we have 5 ml of a solution that contains tobramycin, 3 mg/ml (each ml has 3 mg of tobramycin).
This means that the 5 ml contain 15 mg of tobramycin.
On the other hand, we have another solution S containing 40 mg/ml of tobramycin. This means that each ml of S contains 40 mg of tobramycin.
Let x be the amount of ml of S we have to add to our first 5 ml.
If 1 ml of S contains 40 mg of tobramycin, x ml contain 40*x mg.
If we add this x ml to our first 5 ml, we have 5+x ml containing 15+40*x mg of tobramycin.
Now, cross-multiply to get how much tobramycin contains 1 ml of this new solution.
5+x ml ____contain____15+40*x mg of tobramycin
1 ml ____contains____? mg
And we have
as a result, we have a solution of
We want to prepare a solution 0.5% in concentration.
Using what we state at the beginning, we need to find a value x such that
solving for x
So, we have to add just 2/7 ml of the stronger solution.
9514 1404 393
Answer:
x = 2 1/3
Step-by-step explanation:
We can examine the equations to see where the solution lies.
<u>f(x) = (2/3) -x</u>
This has an x-intercept where y=0, at x=2/3. It has a y-intercept where x=0, at y=2/3. Its slope is -1.
<u>h(x) = 3 -2x</u>
This has an x-intercept where y=0, at x=3/2. It has a y-intercept where x=0, at y=3. Its slope is -2.
__
In the first quadrant, the graph of h(x) is farther from the origin and steeper than the graph of f(x). The lines must cross in the 4th quadrant at some value of x that is greater than 3/2. The fraction in the definition of f(x) suggests that the solution will be a multiple of 1/3.
The attached table shows a couple of guesses at values of x that would make f(x) = h(x). We find that x = 7/3 is the solution we're looking for.
_____
<em>Additional comment</em>
Repetitive function evaluations are done conveniently and with fewer errors by a calculator or spreadsheet that can work with tables of values. Here, we have used a graphing calculator. These tools are readily available for free on almost any phone, tablet, or desktop computer platform.
