Answer:
a) Add 4 to both sides, and then divide by 2. The solution is
.
Step-by-step explanation:
Question:
Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?
a) Add 4 to both sides, and then divide by 2. The solution is x = 12.
b) Divide both sides by −4, and then subtract 2. The solution is x = −7.
c) Subtract 4 from both sides, and then divide by 2. The solution is x = −12.
d) Multiply both sides by −4, and then divide by 2. The solution is x = −40.
Solution:
Given equation:
![2x-4=20](https://tex.z-dn.net/?f=2x-4%3D20)
We need to determine the steps in order to solve for
.
Solving for
.
Step 1: Adding 4 both sides.
![2x-4+4=20+4](https://tex.z-dn.net/?f=2x-4%2B4%3D20%2B4)
![2x=24](https://tex.z-dn.net/?f=2x%3D24)
Step 2: Dividing both sides by 2.
![\frac{2x}{2}=\frac{24}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%3D%5Cfrac%7B24%7D%7B2%7D)
∴ ![x=12](https://tex.z-dn.net/?f=x%3D12)
Thus, we added 4 both sides and then divided both sides by 2 to get solution = 12
Answer:
$12 per hour
Step-by-step explanation:
In order to find her hourly rate we have to find the amount of dollars billed per hour. To do this we can use this expression: ![\frac{y2 - y1}{x2 - x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D)
Let's use the points (1, 27) and (2, 39) in the expression:
![\frac{39 - 27}{2 -1}](https://tex.z-dn.net/?f=%5Cfrac%7B39%20-%2027%7D%7B2%20-1%7D)
Now let's simplify the expression:
39 - 27 = 12
2 - 1 = 1
The expression simplifies to 12/1, or 12. This means that Brenda is billed $12 every hour she uses her phone.
I hope this helps :)
Answer:
1/ 8 pounds of dog food
Step-by-step explanation:
Given that:
7/8 pounds of dog food shared equally into 7 containers ;
Number of dog food in each container will be :
Total dog food / Number of containers
(7/8) ÷ 7
(7 /8) * 1/ 7
7 / 56
= 1/8 pounds of dog food
The first, third and fourth points are the answers