Answer:
24 teaspoons of red paint would be needed.
Step-by-step explanation:
Given that the initial mixture contains 8 teaspoons of red paint and 12 teaspoons of blue paint, this mixture contains a total of 20 units of paint, of which 8 are red, that is, 8 out of 20. Therefore, the proportion of red paint is 40%, while the proportion of blue paint is 60% remaining.
Therefore, in the case of making the same mixture (with the same proportion) using 36 teaspoons of blue paint, the necessary amount of red paint is determined through the following calculation:
60 = 36
40 = X
((40 x 36) / 60) = X
1,440 = 60 = X
24 = X
Thus, 24 teaspoons of red paint would be needed.
180% would be written as 1 4/5 in simplest form
Answer:
Step-by-step explanation:
Since the lines are parallel to each other that means they have the same gradient. So use the gradient formula y=mx+c where m is the gradient rearrange 3x-2y=10 using the formula to become -2y=-3x +10
divide both sides by -2 so that m=1.5. It passed through the point (2,2) use the equation of a line formula to find the the answer.
[{y - 2}/{x -2}=1.5
cross multiply to get 1.5x-y=1
hope that helps
The total area of square TUVW is 160 meters.
<h3>Find out the sides of PQRS:</h3>
Total area: side x side
256 m = side x side
side = √ 256
side= 16 m
This means PQ, QR, RS, SP = 16 m
<h3>Find out the area of one triangle:</h3>
Area: 1/2 x base x height
Let's find out the area of the triangle UVR although all triangles are the same.
Base: 4 meters
Height:
RQ= 16
QU= 4
16-4 = 12
Area: 1/2 x 4 x 12 = 24
<h3>Find the total area of the triangles:</h3>
24 x 4 = 96
Finally, find out the total area of the grey square:
Total area of the grey square = Total area of the white square - area of the triangles
Total area = 256 - 96
Total area= 160
Learn more about squares in: brainly.com/question/13747846
Simply take the derivative of s(t),
s'(t) = -6
Since the velocity is constant, v(t) = s'(t) = -6 at any given time t.
