Its c first find area of the whole thing with piece cut out.(240) then of the cut out piece (12) 240-12=228 C
Answer:
The given point A (6,13) lies on the equation. True
The given point B(21,33) lies on the equation. True
The given point C (99, 137) lies on the equation. True
Step-by-step explanation:
Here, the given equation is : ![y =\frac{4}{3} x + 5](https://tex.z-dn.net/?f=y%20%3D%5Cfrac%7B4%7D%7B3%7D%20x%20%2B%205)
Now,check the given equation for the given points.
1) A (6,13)
Substitute x = 6 in the given equation![y =\frac{4}{3} x + 5](https://tex.z-dn.net/?f=y%20%3D%5Cfrac%7B4%7D%7B3%7D%20x%20%2B%205)
![y =\frac{4}{3} (6) + 5 = 4(2) + 5 = 8 + 5 = 13](https://tex.z-dn.net/?f=y%20%3D%5Cfrac%7B4%7D%7B3%7D%20%286%29%20%2B%205%20%20%3D%204%282%29%20%2B%205%20%20%3D%208%20%2B%205%20%3D%20%2013)
⇒ y= 13
Hence, the given point A (6,13) lies on the equation.
2) B (21,33)
Substitute x = 21 in the given equation![y =\frac{4}{3} x + 5](https://tex.z-dn.net/?f=y%20%3D%5Cfrac%7B4%7D%7B3%7D%20x%20%2B%205)
![y =\frac{4}{3} (21) + 5 = 4(7) + 5 = 28 + 5 = 33](https://tex.z-dn.net/?f=y%20%3D%5Cfrac%7B4%7D%7B3%7D%20%2821%29%20%2B%205%20%20%3D%204%287%29%20%2B%205%20%20%3D%2028%20%2B%205%20%3D%20%2033)
⇒ y = 33
Hence, the given point B(21,33) lies on the equation.
3) C (99, 137)
Substitute x = 99 in the given equation![y =\frac{4}{3} x + 5](https://tex.z-dn.net/?f=y%20%3D%5Cfrac%7B4%7D%7B3%7D%20x%20%2B%205)
![y =\frac{4}{3} (99) + 5 = 4(33) + 5 = 132 + 5 = 137](https://tex.z-dn.net/?f=y%20%3D%5Cfrac%7B4%7D%7B3%7D%20%2899%29%20%2B%205%20%20%3D%204%2833%29%20%2B%205%20%20%3D%20132%20%2B%205%20%3D%20%20137)
⇒ y = 137
Hence, the given point C (99, 137) lies on the equation.
Answer:
You need to simplify 0.3(12x + -16) = 0.4(12 + -3x)
Step-by-step explanation:
Reorder the terms:
0.3(-16 + 12x) = 0.4(12 + -3x) (-16 * 0.3 + 12x * 0.3) = 0.4(12 + -3x) (-4.8 + 3.6x) = 0.4(12 + -3x) -4.8 + 3.6x = (12 * 0.4 + -3x * 0.4) -4.8 + 3.6x = (4.8 + -1.2x)
Solving -4.8 + 3.6x = 4.8 + -1.2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1.2x' to each side of the equation. -4.8 + 3.6x + 1.2x = 4.8 + -1.2x + 1.2x
Combine like terms: 3.6x + 1.2x = 4.8x -4.8 + 4.8x = 4.8 + -1.2x + 1.2x
Combine like terms: -1.2x + 1.2x = 0.0 -4.8 + 4.8x = 4.8 + 0.0 -4.8 + 4.8x = 4.8 Add '4.8' to each side of the equation. -4.8 + 4.8 + 4.8x = 4.8 + 4.8
Combine like terms: -4.8 + 4.8 = 0.0 0.0 + 4.8x = 4.8 + 4.8 4.8x = 4.8 + 4.8
Combine like terms: 4.8 + 4.8 = 9.6 4.8x = 9.6 Divide each side by '4.8'. x = 2
Simplifying x = 2
Step-by-step explanation:
the inner top vertex angle seems to be 90°, so x = 90° too. all angles around a single point in one side of a line are in total 180°.
also, remember, all angles inside a triangle always sum up to 180°.
so, the third inner angle of the triangle is
180 - 90 - 40 = 50°.
that makes z = 180 - 50 = 130°
and y = 180 - 40 = 140°.
Total people=180
discount received people=25%+10%=35%
People who did not receive discount=100-35%=65%
65%of 180=65×180/100=117
So 117 people did not receive discount