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.
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Answer:
2 real solutions
Step-by-step explanation:
a=-10, b=-4, c=2
(-4)^2-4x(-10)x2=96
Answer:
15 units
Step-by-step explanation:
ΔABC is right with ∠C = 90° and AB the hypotenuse
using Pythagoras' identity on the triangle
AB² = AC² + BC² , hence
BC² = AB² - AC² = 17² - 8² = 289 - 64 = 225
⇒BC = 
= 15 units
Answer:
<h2>7.1 inches</h2>
Step-by-step explanation:
Total inches grown last year by matthew = 2.7inches
Total inches grown this year by Matthew = 4.4 inches
Total inches grown by Matthew over the last two years combined will be the sum of heights of matthew for both the previous year and the current year.
Total inches grown = 2.7 inches + 4.4 inches
Total inches grown over the last two years = 7.1 inches
The slope should be 3/5 because the rise over run using the points (0,3) and (5,6) result in 3/5.
