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:
(1)
Where:
- Proportion of the paint that is 30 % gloss.
- Concentration ratio of the paint that is 30 % gloss.
- Concentration ratio of the paint that is 15 % gloss.
- Resulting concentration ratio
If we know that
,
and
, then the proportion of the paint that is 30 % gloss is:




And the quantity of gallons needed of each paint are:
Paint (30 % gloss)


Paint (15 % gloss)



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
-3 (5 - x) = 4x
-15 + x = 4x
-15 = 3x
X = 5
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
See the graph in the attached image.
Answer:
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Step-by-step explanation: