Stops or repeats, the number is rational. does not stop and does not repeat, the number is irrational.
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:
![x](https://tex.z-dn.net/?f=x%3C-6)
Step-by-step explanation:
![3x-2>5x+10](https://tex.z-dn.net/?f=3x-2%3E5x%2B10)
Add 2 to both sides
![3x-2+2>5x+10+2](https://tex.z-dn.net/?f=3x-2%2B2%3E5x%2B10%2B2)
Simplify
![3x>5x+12](https://tex.z-dn.net/?f=3x%3E5x%2B12)
Subtract
from both sides
![3x-5x>5x+12-5x](https://tex.z-dn.net/?f=3x-5x%3E5x%2B12-5x)
Simplify
![-2x>12](https://tex.z-dn.net/?f=-2x%3E12)
Multiply both sides by
(reverse the inequality)
![(-2x)(-1)](https://tex.z-dn.net/?f=%28-2x%29%28-1%29%3C12%28-1%29)
Simplify
![2x](https://tex.z-dn.net/?f=2x%3C-12)
Divide both sides by ![2](https://tex.z-dn.net/?f=2)
![\frac{2x}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%20%3C%5Cfrac%7B-12%7D%7B2%7D)
Divide the numbers: ![\frac{2}{2} =1](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B2%7D%20%3D1)
![=x](https://tex.z-dn.net/?f=%3Dx)
Divide the numbers: ![\frac{-12}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-12%7D%7B2%7D)
Apply fraction rule: ![\frac{-a}{b} =-\frac{a}{b}](https://tex.z-dn.net/?f=%5Cfrac%7B-a%7D%7Bb%7D%20%3D-%5Cfrac%7Ba%7D%7Bb%7D)
![=\frac{12}{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B12%7D%7B2%7D)
Divide the numbers: ![\frac{12}{2} =6](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B2%7D%20%3D6)
![=-6](https://tex.z-dn.net/?f=%3D-6)
![x](https://tex.z-dn.net/?f=x%3C-6)
I divided $.55 by 777 and got 0.00585 cents per apple. Then I mulitplied 0.00585 by 999 and got $5.85.
Answer:
151
Step-by-step explanation: