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My name is Ann [436]
3 years ago
5

A hospital needs 40 L of a 10% solution of

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
7 0

Answer:

Step-by-step explanation:

i didnt exactly answer this but i found someone who did

(pasted)  i still hope it helps

Let x and (40L-x) represent the 20% and 4% solutions respectively

Mixing the 20% and 1%  to form 40L of 15% solution

.20x + .04(40L-x) = .15*40L

             .16x = .11*40L

                x = .11*40L/.16

                x = 27.5L, the amount of the 20% solution.  

                    12.5L,the amount of the 4% solution  (40L - 27.5L)

CHECKING our Answer

.20*27.5L + .04*12.5L = 5.5L + .5L = 6L = .15*40L

Which tells us incidentally there is 6L of disinfectant in the final solution.

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Read 2 more answers
What is the value of x and the length of segment DE?
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Answer:

x = 6.6; DE = 16.6  

Step-by-step explanation:

Assume the diagram is like the figure below.

1. Calculate the value of x

In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the triangle into two similar triangles.

Thus, ∆CDF ~ ∆FDE, and

\begin{array}{rcl}\dfrac{CD}{DF} &=& \dfrac{FD}{DE}\\\\\dfrac{5}{9} &=& \dfrac{9}{2x + 3}\\\\5(2x + 3) & = &81\\10x + 15 & = & 81\\10x & = & 66\\x & = & \mathbf{6.6}\\\end{array}

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