9514 1404 393
Answer:
274 mL
Step-by-step explanation:
Often medical solutions expressed as a percentage are not really a percentage as such. A percentage is the ratio of two quantities with the same units.
Here, the context given by the problem suggests the "25%" solution is really (25 g)/(100 mL). That is, the units are grams and milliliters--different units.
With that assumption, we want to find the volume (v) of solution needed to deliver 6 g of medicine. An appropriate proportion* is ...
v/(6 g) = (100 mL)/(25 g)
v = (6 g)(100 mL)/(25 g) = 24 mL
So, the total volume of the infusion is ...
250 mL +24 mL = 274 mL
_____
* The concentration is given in terms of g/mL, but we have used a proportion that is mL/g. The reason for that is we want the variable to be in the numerator of the ratio. The variable here represents volume, so we have written the proportion with volumes in the numerators.
Having the variable in the numerator means the equation can be solved in one step--by multiplying by its denominator.
The question is incomplete as the cost price isn't given. However, taking the cost price as x :
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
A car costs$cents when new. It was sold for four fifths of its cost price. How much money was lost on the car.
Let :
Cost price when new = x
Cost price when sold = 4/5 * cost price when new
Cost when sold = 4/5 of x = 4x/5
Amount of money lost on the car = (Cost price of car when new - Cost of car when sold)
Hence,
Amount of money lost on the car = (x - 4x/5)
x - 4x/5 = (5x - 4x) / 5 = x / 5
To obtain the exact price, kindly input the omitted cost when new for x.
10% off of 199.99 is 179.99
100% - 10% = 90% The 90% is how much you are going to pay.
90% into decimal form is 0.9
So you can do 199.99 x 0.9 = $179.99
Answer:
option D is correct, i.e. 3i
Step-by-step explanation:
Given are the complex number as Z₁ = 9 cis(5π/6) and Z₂ = 3 cis(π/3)
So magnitudes are r₁ = 9, and r₂ = 3
And arguments are ∅₁ = 5π/6, and ∅₂ = π/3
We know the formula for division of complex number is given as follows:-
If Z₁ = r₁ cis(∅₁) and Z₂ = r₂ cis(∅₂)
Then |Z₁ / Z₂| = (r₁/r₂) cis(∅₁ - ∅₂)
|Z₁ / Z₂| = (9/3) cis(5π/6 - π/3)
|Z₁ / Z₂| = 3 cis(5π/6 - 2π/6)
|Z₁ / Z₂| = 3 cis(3π/6)
|Z₁ / Z₂| = 3 cis(π/2)
|Z₁ / Z₂| = 3 cos(π/2) + 3i sin(π/2)
|Z₁ / Z₂| = 3*(0) + 3i*(1)
|Z₁ / Z₂| = 0 + 3i
|Z₁ / Z₂| = 3i
Hence, option D is correct, i.e. 3i
