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timurjin [86]
2 years ago
11

Brainliest if correct

Mathematics
1 answer:
anyanavicka [17]2 years ago
5 0

Answer:

9

Step-by-step explanation:

-4c + 9 + 4c

4c - 4c + 9

= 9

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The paint mixer wants to mix paint that is 30% gloss with paint that is 15% gloss to make 3.75 gallons of paint that is 20% glos
Kipish [7]

The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.

In this question we must determine the correct volumes of each paint to obtain a 20 % gloss with paint by means of weighted averages:

c_{r} = x\cdot c_{a} +(1-x)\cdot c_{b} (1)

Where:

  • x - Proportion of the paint that is 30 % gloss.
  • c_{a} - Concentration ratio of the paint that is 30 % gloss.
  • c_{b} - Concentration ratio of the paint that is 15 % gloss.
  • c_{r} - Resulting concentration ratio

If we know that c_{a} = 0.3, c_{b} = 0.15 and c_{r} = 0.2, then the proportion of the paint that is 30 % gloss is:

0.2 = 0.3\cdot x +(1-x)\cdot 0.15

0.2 = 0.15\cdot x+0.15

0.15\cdot x = 0.05

x = 0.33

And the quantity of gallons needed of each paint are:

Paint (30 % gloss)

V_{a} = 0.33\cdot (3.75\,gal)

V_{a} = 1.238\,gal

Paint (15 % gloss)

V_{b} = V-V_{a}

V_{b} = 3.75\,gal-1.238\,gal

V_{b} = 2..512\,gal

The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.

To learn more on weighted averages, we kindly invite to check this question: brainly.com/question/18554478

8 0
3 years ago
–3(5 – x) = 4x solve for x
GrogVix [38]
-3 (5 - x) = 4x
-15 + x = 4x
-15 = 3x
X = 5
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3 years ago
What is 12+5x=2x-9 step by step
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Answer:

  x = -7

How to:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation

5°x-(2°x-9)=0

Pull out like factors:

21 + 3x  =   3 • (x + 7)

Equations which are never true:  Solve 3   =  0

<em>Solving a Single Variable Equation:</em>

Solve  :    x+7 = 0

Subtract  7  from both sides of the equation : x = -7

6 0
3 years ago
Graph Y=-2x-3 and y=-x+6
NikAS [45]

See the graph in the attached image.

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2 years ago
Which are the solutions of the quadratic equation?<br> Plzzz ASAP
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Answer:

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Step-by-step explanation:

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