1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bumek [7]
3 years ago
6

A pharmacist receives a special request from an ophthalmologist to prepare a fortified tobramycin ophthalmic solution.

Mathematics
1 answer:
Harrizon [31]3 years ago
6 0

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

\large \frac{5+x}{1}=\frac{15+40x}{?}\Rightarrow ?=\frac{15+40x}{5+x}

as a result, we have a solution of  

\large \frac{15+40x}{5+x}\;mg/ml

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

\large \frac{(15+40x)/(5+x)}{10}=0.5

solving for x

\large \frac{(15+40x)/(5+x)}{10}=0.5\Rightarrow \frac{15+40x}{5+x}=5\Rightarrow 15+40x=25+5x\Rightarrow\\\\\Rightarrow 40x-5x=25-15\Rightarrow 35x=10\Rightarrow x=10/35=2/7 \;ml

So, we have to add just 2/7 ml of the stronger solution.

You might be interested in
Given that CD¯¯¯¯¯¯¯¯ is a perpendicular bisector of AB¯¯¯¯¯¯¯¯, where D is on AB¯¯¯¯¯¯¯¯, how can you use the Pythagorean Theor
Liula [17]

Answer:

(AD)^2 + (CD)^2 = (CA)^2 and (CD)^2 + (BD)^2 = (CB)^2

Step-by-step explanation:

Given

Bisector: CD

of Line AB

Required

Apply Pythagoras Theorem

From the question, CD bisects AB and it bisects it at D.

The relationship between AB and CD is given by the attachment

Considering ACD

From the attachment, we have that:

Hypothenuse = CA

Opposite = CD

Adjacent = AD

By Pythagoras Theorem, we have

(AD)^2 + (CD)^2 = (CA)^2

Considering CBD

From the attachment, we have that:

Hypothenuse = CB

Opposite = CD

Adjacent = BD

By Pythagoras Theorem, we have:

(CD)^2 + (BD)^2 = (CB)^2

4 0
2 years ago
Read 2 more answers
A restaurant has 26 tables in its dining room. It takes the waitstaff 10 minutes to clear and set 4 tables. At this rate, how lo
lutik1710 [3]
Well, its 10 for 4. so 8 is 20, 12 is 30, 16 is 40 20 is 50, and 24 is 1 hour, 2 tabels is half the time so 5 min... so it would take -1 hour and 5 min
5 0
2 years ago
Read 2 more answers
Which angle has a measure closet to 30 degrees?
gladu [14]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
What is the solution set to the equation (3x−9)(5x−3)=0?
andreev551 [17]
This product could be zero if one or both of the parenthesis are zero.
3x-9=0; 3x=9; x= 3
5x-3=0; 5x=3; x=3/5

The solution is { 3/5, 3}
8 0
3 years ago
Read 2 more answers
Help plsss <br> find length..
posledela
I think it’s been awhile but just ur 140/360 then times that by pi then 2 then times r= 12.22
8 0
2 years ago
Other questions:
  • What function's domain consists of all real numbers greater than 3
    12·1 answer
  • Factor 8x^2-56+48... please help me
    8·1 answer
  • Consider the equation 5/3v +4 + 1/3v = 8. What is the resulting equation after the first step in the equation?
    10·1 answer
  • 6. Will the quotient be greater or less than one when 5.6 is divided by 7? Explain your thinking​
    5·1 answer
  • He cartesian coordinates of a point are given. (a) (−9, 9) (i) find polar coordinates (r, θ) of the point, where r &gt; 0 and 0
    13·1 answer
  • A game of "Doubles-Doubles" is played with two dice. If a player rolls doubles, the player earns 3 points and gets another roll.
    15·2 answers
  • a contractor was paving a driveway he mixed 4/7 ton lf sand and 1/3 ton of concrete how much did the mixture weigh
    9·1 answer
  • Can someone help please!&lt;3
    10·1 answer
  • What shape is this cross-section?
    11·2 answers
  • PLEASE HELP WILL GIVE BRAINLIEST AND 30 POINTS!!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!