QUESTION:- find the value of x
<h2>ANSWER:- </h2>
![180 - 6x + 180 - 5x + 180 - 4x = 180 \\ 360 + 180 - 15x = 180](https://tex.z-dn.net/?f=180%20-%206x%20%2B%20180%20-%205x%20%20%2B%20180%20-%204x%20%3D%20180%20%5C%5C%20360%20%2B%20180%20-%2015x%20%3D%20180)
![360 - 15x = 180 - 180 \\ 360 = 15x \\ 24 \degree = x](https://tex.z-dn.net/?f=360%20%20-%2015x%20%3D%20180%20-%20180%20%5C%5C%20360%20%3D%2015x%20%5C%5C%2024%20%5Cdegree%20%3D%20x)
9514 1404 393
Answer:
1/2
Step-by-step explanation:
The rules of exponents are helpful.
(a^b)^c = a^(bc)
a^-b = 1/a^b
__
![25^{\frac{1}{2}}\times10^{-1}=\dfrac{(5^2)^{\frac{1}{2}}}{10^1}=\dfrac{5^{2\cdot\frac{1}{2}}}{10}\\\\=\dfrac{5^1}{10}=\dfrac{5}{10}=\boxed{\dfrac{1}{2}}](https://tex.z-dn.net/?f=25%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%5Ctimes10%5E%7B-1%7D%3D%5Cdfrac%7B%285%5E2%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%7B10%5E1%7D%3D%5Cdfrac%7B5%5E%7B2%5Ccdot%5Cfrac%7B1%7D%7B2%7D%7D%7D%7B10%7D%5C%5C%5C%5C%3D%5Cdfrac%7B5%5E1%7D%7B10%7D%3D%5Cdfrac%7B5%7D%7B10%7D%3D%5Cboxed%7B%5Cdfrac%7B1%7D%7B2%7D%7D)
Answer:
No
Step-by-step explanation:
6:2 and 9:4
6:2 would simplify to 3:1
9:4 cannot be simplified
Answer:
18 candies.
Step-by-step explanation:
Given:
Juwan collects 36 pieces of candy while trick-or-treating.
He eats one-third of them and gives a fourth of whats left away.
<u>Question asked:</u>
How many candies does he still have?
<u>Solution:</u>
Total candies collected by Juwan = 36
Candies eaten by Juwan = ![\frac{1}{3} \ of \ 36=\frac{1}{3} \times36=12\ candies](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%5C%20of%20%5C%2036%3D%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes36%3D12%5C%20candies)
Remaining candies = 36 - 12 = 24
Candies given by her = ![\frac{1}{4}\ of\ 24= \frac{1}{4}\times24=6\ candies](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5C%20of%5C%2024%3D%20%5Cfrac%7B1%7D%7B4%7D%5Ctimes24%3D6%5C%20candies)
Remaining candies = 24 - 6 = 18 Candies.
Thus, he still have 18 candies.