Step-by-step explanation:
45 = 15 - 3
45 = 12
45 - 12
= 33
Answer:
The probability is 2/5
Step-by-step explanation:
Here, we want to calculate the probability that the first person will sit in a yellow roller coaster car
The number of cars to select from is 6 + 9 = 15 cars
The number of yellow cars is 6
So the probability that the first person selects a yellow roller coaster car to seat is 6/15 = 2/5
Answer:
60in
Step-by-step explanation:
Answer:
In the two different ways we have solved the given equation as ![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
Given expression is ![\frac{2}{3}(3x+6)=4x+3](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%283x%2B6%29%3D4x%2B3)
To simplify the given expression in two ways:
First way:
Given ![\frac{2}{3}(3x+6)=4x+3](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%283x%2B6%29%3D4x%2B3)
![\frac{2}{3}(3x+6)=4x+3](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%283x%2B6%29%3D4x%2B3)
![\frac{6x+12}{3}=4x+3](https://tex.z-dn.net/?f=%5Cfrac%7B6x%2B12%7D%7B3%7D%3D4x%2B3)
Multiplying 3 on both sides
![3\times (\frac{6x+12}{3})=3\times (4x+3)](https://tex.z-dn.net/?f=3%5Ctimes%20%28%5Cfrac%7B6x%2B12%7D%7B3%7D%29%3D3%5Ctimes%20%284x%2B3%29)
![6x+12=12x+9](https://tex.z-dn.net/?f=6x%2B12%3D12x%2B9)
(adding the like terms)
![-6x+3=0](https://tex.z-dn.net/?f=-6x%2B3%3D0)
![3(-2x+1)=0](https://tex.z-dn.net/?f=3%28-2x%2B1%29%3D0)
Dividing by 3 on both sides
![3(-2x+1)\times \frac{1}3}=0\times \frac{1}3}](https://tex.z-dn.net/?f=3%28-2x%2B1%29%5Ctimes%20%5Cfrac%7B1%7D3%7D%3D0%5Ctimes%20%5Cfrac%7B1%7D3%7D)
![(-2x+1)=0](https://tex.z-dn.net/?f=%28-2x%2B1%29%3D0)
![-(2x-1)=0](https://tex.z-dn.net/?f=-%282x-1%29%3D0)
![2x-1=0](https://tex.z-dn.net/?f=2x-1%3D0)
![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)
Therefore the given expression is solved that ![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)
Another way:
Given ![\frac{2}{3}(3x+6)=4x+3](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%283x%2B6%29%3D4x%2B3)
![\frac{2}{3}(3x+6)=4x+3](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%283x%2B6%29%3D4x%2B3)
![2(\frac{3x}{3}+\frac{6}{3})=4x+3](https://tex.z-dn.net/?f=2%28%5Cfrac%7B3x%7D%7B3%7D%2B%5Cfrac%7B6%7D%7B3%7D%29%3D4x%2B3)
![2(x+2)=4x+3](https://tex.z-dn.net/?f=2%28x%2B2%29%3D4x%2B3)
![2x+4=4x+3](https://tex.z-dn.net/?f=2x%2B4%3D4x%2B3)
(adding the like terms)
![2x-1=0](https://tex.z-dn.net/?f=2x-1%3D0)
![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)
Therefore the given expression is solved that ![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)
In the two different ways we have solved the given equation as ![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)
No because the opposite of a negative is positive