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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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What is the perimeter of the figure​
Natalija [7]

Answer:

The perimeter of the figure is 111.46 units

Step-by-step explanation:

Given:

RS = 43

LS = 18√2

A right Triangle is attached to a Rectangle.

A right Triangle is having measure angle 45° , 90°

and Hypotenuse = 18√2

∴ The Third Angle measure will also be 45° {angles Sum property of a triangle}

∴ the right angled triangle is an Isosceles triangle.

∴ Two sides are equal  LT = TS

To Find:

Perimeter of figure = ?

Solution:

we have

\sin 45 = \frac{\textrm{side opposite to angle 45}}{Hypotenuse}\\

we Know sin 45 = 1/√2

∴ \frac{1}{\sqrt{2} }= \frac{LT}{18\sqrt{2}}\\\\\therefore LT = 18\ unit\\\\\therefore TS = 18\ unit\\

Now ,

ARTL  is a Rectangle

∴ opposite side of a rectangle are equal

∴ LT = AR = 18 unit

and AL = RT

But,

RT = RS - TS

   = 43 - 18

   25

∴ AL = RT = 25

∴ Perimeter of figure = AL + LS + RS + AR

                                   = 25 + 18√2 + 43 + 18

                                   = 86 + 18√2

                                   = 111.455

                                   = 111.46 units

∴ Perimeter of figure = 111.46 units

7 0
3 years ago
Classify each pair of angels listed below as adjacent or vertical.
Stolb23 [73]

Answer:

ntersecting lines DA and CE.

To find:

Each pair of adjacent angles and vertical angles.

Solution:

Adjacent angles are in the same straight line.

Pair of adjacent angles:

(1) ∠EBD and ∠DBC

(2) ∠DBC and ∠CBA

(3) ∠CBA and ∠ABE

(4) ∠ABE and ∠EBD

Vertical angles are opposite angles in the same vertex.

Pair of vertical angles:

(1) ∠EBD and ∠CBA

(2) ∠DBC and ∠EBA

5 0
3 years ago
Evaluate 4/3(4 1/5 + x) ÷ 5/2y when x = 3/2 and y = 15
MissTica
So what u do (-72828282)+(-7382828)=(-73838)+n=(-839288n)
8 0
3 years ago
Mr. Nanez collects quitars. He has 4 black guitars, 2 white quitars and 9 brown quitars, What is is ratio of black guitars to al
aksik [14]

Answer:

4:15

Step-by-step explanation:

Sum of all quitars: 2+4+9=15

4 black quitars to 15 quitars

4:15

5 0
3 years ago
1. Avital counted 40 green cars and 20 silver cars in the parking lot. If the number of green cars stay the same, how many more
Luba_88 [7]
X represents the number that would be added to the silver cars.


x/40= 4
X=40x4
x=160

Subtract the given 20 from 160 because 160 is the total number
160-20=140
Therefore 140 would be added to 20 silver cars to get the ratio1:4
8 0
3 years ago
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