Answer:
16/3 or 5.33
Step-by-step explanation:
Cross multiply
4/1 * 3/4
4 * 4 = 16
3 * 1 = 3
Answer: x = -7
Step-by-step explanation:
x = -7 will be a vertical line passing through all y values, and perpendicular to y = 5
The attached graph shows the lines and the point.
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
The midpoint of the segment with endpoints (-3,6) and (3, 0) is (0, 3)
<h3>Midpoint of a line </h3>
From the question, we are to determine the midpoint of the segment with the given endpoints
The given endpoints are
(-3,6) and (3, 0)
Given a line with endpoints (x₁, y₁) and (x₂, y₂), then the midpoint of the line is
((x₁+x₂)/2, (y₁+y₂)/2)
Thus,
The midpoint of the line with the endpoints (-3,6) and (3, 0) is
((-3+3)/2, (6+0/2)
= (0/2, 6/2)
= (0, 3)
Hence, the midpoint of the segment with endpoints (-3,6) and (3, 0) is (0, 3)
Learn more on Midpoint of a line here: brainly.com/question/18315903
#SPJ1