The expression that is equivalent to 14xy – 28x – 36y + 48 is 2[7x(y-2)-6(3y-4)]
<h3>Factorizing expressions</h3>
Factorization is a way of separating the equations into two separate factors.
Given the expression below;
14xy – 28x – 36y + 48
Group
(14xy – 28x) – (36y + 48)
14x(y - 2) - 12(3y-4)
Factor out the value of 2 from both terms
2[7x(y-2)-6(3y-4)]
Hence the expression that is equivalent to 14xy – 28x – 36y + 48 is 2[7x(y-2)-6(3y-4)]
Learn more on factorization here: brainly.com/question/25829061
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So this is a solution problem the answer is 3/4 cups or 75% milk and 1/4 cups or 25% cream, here's why:
m = milk
c = cream
m + c = 1
This is because when you add milk and cream then you get one cup of solution
.02m + .18c = .06
When you add together the percentages the goal is to have .06 or 6%
100m + 100c = 100
2m + 18c = 6
I do this to make it easier to solve
200m + 200c = 200
-200m - 1800c = -600
The "m's" cancel out
-1600c = -400
c = 1/4 or .25 or 25%
Now we add c back in
m + 1/4 = 1
Solve for m
m = 3/4
Thus: 3/4 milk and 1/4 cream
Incomplete Question, Figure is not there the required figure is attached below.
Answer:
The Correct option is third one 3 ft.
Therefore length of SA is 3 ft.
Step-by-step explanation:
Given:
BS = 10 ft
BT = 9ft
TC = 2.7 ft
TS || CA
To Find:
SA = ?
Solution:
Basic Proportionality Theorem:
Basic Proportionality Theorem States that "If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio".
Here, TS || CA ......Given:
...Basic Proportionality Theorem
Substituting the values we get
![\dfrac{10}{SA}=\dfrac{9}{2.7}\\\\SA=\dfrac{27}{9}=3\\\\\therefore SA =3\ ft](https://tex.z-dn.net/?f=%5Cdfrac%7B10%7D%7BSA%7D%3D%5Cdfrac%7B9%7D%7B2.7%7D%5C%5C%5C%5CSA%3D%5Cdfrac%7B27%7D%7B9%7D%3D3%5C%5C%5C%5C%5Ctherefore%20SA%20%3D3%5C%20ft)
Therefore the length of SA is 3 ft.
Answer:
216
Step-by-step explanation:
The number of smaller unit cubes that could fit inside the bigger one could be calculated by dividing the Volume of the larger cube by the volume of the smaller cubes.
Volume of bigger cube:
![(1\frac{1}{2}) ^3 = \frac{27}{8}](https://tex.z-dn.net/?f=%281%5Cfrac%7B1%7D%7B2%7D%29%20%5E3%20%3D%20%5Cfrac%7B27%7D%7B8%7D)
Volume of smaller cube:
![(\frac{1}{4} )^3=\frac{1}{64}](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B4%7D%20%29%5E3%3D%5Cfrac%7B1%7D%7B64%7D)
![\frac{27}{8} /\frac{1}{64} =\frac{27}{8}*64=216](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B8%7D%20%2F%5Cfrac%7B1%7D%7B64%7D%20%3D%5Cfrac%7B27%7D%7B8%7D%2A64%3D216)
<h3>
Answer:</h3>
5.51 seconds
<h3>
Step-by-step explanation:</h3>
y = 0 when the stone hits the ground. At that point, t can be found from ...
... 0 = -16t^2 +486
... 0 = t^2 -30.375 . . . . divide by -16
... 30.375 = t^2 . . . . . . add the opposite of the constant
Take the square root to get ...
... √30.375 = t ≈ 5.51 . . . . seconds