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alex41 [277]
3 years ago
5

A nurse must mix a 20% solution of medication in an existing container of water. The container currently holds 12 ounces of wate

r how many ounces of medication should the nurse add to make the proper solution?
Mathematics
1 answer:
gayaneshka [121]3 years ago
5 0

Answer:

3 ounces of medication to be added to get 20%solution of medication

Step-by-step explanation:

To find:

The amount of medication to be added to 12 ounces of water to get a 20% solution

Let the amount of medication to be added =x

So total amount of mixture = amount of water + amount of medication

= 12+x

% medication =  (amount of medication÷total amount of the mixture)× 100

Therefore

% medication =(  x÷12+x)×100

20 =(  x÷12+x)×100

20 =\frac{x}{12+x} X 100

20(12+x) =100x

240+20x =100x

100x-20x =240

80x =240

x =240÷80

x=3

so 3 ounces of medication to be added to get 20%solution of medication

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The complete question in the attached figure

Part a) 
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ABC is a right triangle
∠ACB=45°
AC=hypotenuse------> 6√2 cm
sin 45=AB/AC-----> AB=AC*sin 45----> AB=6√2*√2/2----> AB=6 cm

the answer part a) is
AB=6 cm

Part b) 
we know that
volume of the pyramid=(1/3)*Area of the base*height
area of the base=50 cm²
height=6 cm
so
volume of the pyramid=(1/3)*50*6----> 100 cm³

the answer part b) is 
100 cm³

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Which rules define the function graphed below? Edge
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The sum of squares of two consecutive positive even integers is 52 more than their product. Find these numbers.
natulia [17]

Answer:

The first set of consecutive even integers equals (8 , 6)

The second set is ( - 8 and - 6) which also works.

Step-by-step explanation:

Equation

(x)^2 + (x + 2)^2 = (x)(x + 2) + 52            Remove the brackets on both sides

Solution

x^2 + x^2 + 4x + 4 = x^2 + 2x + 52        Collect the like terms on the left

2x^2+ 4x+ 4 = x^2 + 2x + 52                  Subtract right side from left

2x^2 - x^2 + 4x - 2x + 4 - 52  =  0          Collect the like terms

x^2 + 2x - 48 = 0                                     Factor

(x + 8)(x - 6) = 0

Answer

Try the one you know works.

x - 6 = 0

x = 6

Therefore the two integers are 6 and 8

6^2 + 8^2 = 100

6*8 + 52  = 100

So 6 and 8 is one set of  consecutive even numbers that works.    

========================

What about the other set.

x + 8 = 0

x = - 8

x and x + 2

- 8  and -8 + 2 = - 8, - 6

(- 8 )^2 + (- 6)^2 = 100

(-8)(-6) + 52 = 100

Both sets of consecutive numbers work.


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3 years ago
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