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Lorico [155]
3 years ago
15

A chemist is mixing one solution that is 32% sodium and another solution that is 12% sodium how many liters of each type should

the chemist use to produce 50 l of the solution that is 20% sodium
Mathematics
1 answer:
Brut [27]3 years ago
6 0
In order to solve the amount of each solution, we need to set up equations. We do as follows:

Let x = solution with 32% sodium
      y = solution with 12% sodium

Overall balance
x + y = 50

Component balance
.32x + .12y = 50(.20) =10

Solving simultaneously,

x = 20
y = 30

Hope this answers the question. Have a nice day.
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Answer:

A.  Playfair's axiom.

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In a plane, given a line and a point not on it, at most,  one line parallel to the given line can be drawn through the point.

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Answer:

y = 3x - 13................slope= 3, point= (5,2)

y = 3x + 11.................slope= 3, point= (2,17)

3y = x + 11................slope= 1/3, point= (-5,2)

3y = x - 13................slope= 1/3, point= (19,2)

Step-by-step explanation:

To match each equation to its slope and point, remember that an equation in y = mx + b has slope m. The point must also satisfy or make true the equation when substituted for (x,y).

y=3x-13  has slope 3. The point (2,17) make it false. But (5,2) makes it true.

17 = 3(2) - 13                 2 = 3(5) - 13

17 = 6-13                       2 = 15 - 13

17 = - 7  False              2 = 2 True

y=3x+11  has slope 3. This means (2,17) must be true.

3y=x+11  can be converted to y = 1/3x + 11/3. It has slope 1/3. Test each point.

2= 1/3(19) + 11/3                 -2 = 1/3(17) + 11/3        2 = 1/3(-5) + 11/3

2 = 19/3 + 11/3                    -2 = 17/3 + 11/3          2 = -5/3 + 11/3

False                                    False                        2 = 6/3    True

3y=x-13 can be converted to y = 1/3x - 13/3. It has slope 1/3. Test each remaining point.

2= 1/3(19) - 13/3                 -2 = 1/3(17) - 13/3        

2 = 19/3 - 13/3                    -2 = 17/3 - 13/3          

2 = 6/3                                -2 = 4/3

True                                   False                        

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3 years ago
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How do i solve x squared = 4x -5
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Answer:

x = 2 ±i

Step-by-step explanation:

x^2 = 4x-5

Subtract 4x from each side

x^2 - 4x = 4x-5 -4x

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Take the coefficient of the x term, divide by 2 and square it

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Add 4 to each side

x^2 -4x+4 = -5 +4

The left side is (x-coefficient of the x term/2)^2

(x-2)^2 = -1

Take the square root of each side

sqrt((x-2)^2) = sqrt(-1)

x-2 = ±i

Add 2 to each side

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According to 2017 Belgium Labor data information: Adult Population in 2017= 4500, Number of employed in 2017= 2800, and Number o
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Given:

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Number of employed in 2017 = <em>2800</em>

Number of Unemployed in 2017 = 700

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Given:

Adult Population in 2016 = 3500

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