The answer has to be 1,350 is that one of your options
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
For
between
and
, we have
is continuous over its domain, so the intermediate value theorem tells us that

is true for
.
For all
, we take into account that
is
-periodic, so the above inequality can be expanded to

where
is any integer. Equivalently,

To get the corresponding solution set for

simply replace
with
:


A new shape with an area of 1 square unit that is not a square can be formed by combining two small triangles
<h3>How to determine the new shape?</h3>
The given parameters are:
- Area of square = 1 square unit
- Large triangles = 2
- Medium triangles = 1
- Small triangles = 4
The area of each small triangle is:
Area = 0.5 square unit
Multiply both sides by 2
2 * Area of triangle = 1 square unit
Substitute Area of square = 1 square unit
2 * Area of triangle = Area of square
This means that a new shape can be formed by combining two small triangles
Read more about area at:
brainly.com/question/24487155
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