<u><em>ANSWERS ARE AT THE BOTTOM</em></u>
<u><em></em></u>
<u><em>To solve this question, we need to write the questions algebraically. Let's look at the problem first: The sum of a number 8, and twice the number x is equal to 28.</em></u>
<u>Algebraic form:</u>
8 + 2x = 28
<u><em>Lets solve this!</em></u>
<u><em></em></u>
8 + 2x = 28 (Algebraic Form)
2x = 28 - 8 (Subtract 8 from both sides)
2x = 20 (Divide by 2)
<u><em>x = 10</em></u> (Answer)
<u><em>ANSWER:</em></u>
<u><em></em></u>
<u><em>x = 10</em></u>
A and D are correct. If u don't know why look up the definitions of the triangles
Hello! (:
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5 less than 3.1 times a number n:
3.1n-5
Four more than the quotient of 12 and a number n:
n/12+4
Hope this helps you!
~SparklingFlower
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Answer:
108π
Step-by-step explanation:
1/3 × 9 × π × (6²)
1/3 × 9π6²
(1 × 9π6²) / 3
(6² × 9π) / 3
6² × 3π
36 × 3π
108π
Answer:
4(x - 1) = 4x - 4
3x + 6 = 3(x + 2)
Step-by-step explanation:
The first equation is
![5x - 1 = 5x + 1](https://tex.z-dn.net/?f=5x%20-%201%20%3D%205x%20%2B%201)
We simplify to get;
![- 1 = 1](https://tex.z-dn.net/?f=%20-%201%20%3D%201)
This is not true, therefore this equation has no solution.
The second equation is
![3x - 1 = 1 - 3x](https://tex.z-dn.net/?f=3x%20-%201%20%3D%201%20-%203x)
Combine like terms:
![3x + 3x = 1 + 1](https://tex.z-dn.net/?f=3x%20%2B%203x%20%3D%201%20%2B%201)
![6x = 2](https://tex.z-dn.net/?f=6x%20%3D%202)
![x = \frac{1}{3}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20)
This has a unique solution.
The 3rd equation is
![7x - 2 = 2x - 7](https://tex.z-dn.net/?f=7x%20-%202%20%3D%202x%20-%207)
Group similar terms:
![7x - 2x = 7 + 2 \\ 5x = 9 \\ x = \frac{9}{5}](https://tex.z-dn.net/?f=7x%20-%202x%20%3D%20%207%20%2B%202%20%5C%5C%205x%20%3D%209%20%5C%5C%20x%20%20%3D%20%20%5Cfrac%7B9%7D%7B5%7D%20)
The 4th equation is :
![4(x - 1) = 4x - 4](https://tex.z-dn.net/?f=4%28x%20-%201%29%20%3D%204x%20-%204)
![4x - 4= 4x - 4 \\ x = x](https://tex.z-dn.net/?f=4x%20-%204%3D%204x%20-%204%20%5C%5C%20x%20%3D%20x)
This is always true. The equation has infinite solution.
The 5th equation is:
![3x + 6 = 3(x + 2) \\ 3x + 6 = 3x + 6 \\ x = x](https://tex.z-dn.net/?f=3x%20%2B%206%20%3D%203%28x%20%2B%202%29%20%5C%5C%203x%20%2B%206%20%3D%203x%20%2B%206%20%5C%5C%20x%20%3D%20x)
This also has infinite solution
The 6th equation is
![3(x - 4) = 4(x - 3) \\ 3x - 12 = 4x - 12 \\ 3x - 4x = - 12 + 12 \\ x = 0](https://tex.z-dn.net/?f=3%28x%20-%204%29%20%3D%204%28x%20-%203%29%20%5C%5C%203x%20-%2012%20%3D%204x%20-%2012%20%5C%5C%203x%20-%204x%20%3D%20%20-%2012%20%2B%2012%20%5C%5C%20x%20%3D%200)
It has a unique solution.