Answer:
6
Step-by-step explanation:
Given:
Mrs. Applegate owns
of the business.
Mrs. Brown owns 3 times as much as Mrs. Charles.
To find:
The fractional part of the business that Mrs. Brown owns.
Solution:
Let Mrs. Charles owns x part of business.
Mrs. Brown owns 3 times as much as Mrs. Charles.
Mrs. Brown owns = 3x part of business.
Mrs. Applegate owns
of the business.
![x+3x+\dfrac{3}{19}=1](https://tex.z-dn.net/?f=x%2B3x%2B%5Cdfrac%7B3%7D%7B19%7D%3D1)
![4x=1-\dfrac{3}{19}](https://tex.z-dn.net/?f=4x%3D1-%5Cdfrac%7B3%7D%7B19%7D)
![4x=\dfrac{19-3}{19}](https://tex.z-dn.net/?f=4x%3D%5Cdfrac%7B19-3%7D%7B19%7D)
![4x=\dfrac{16}{19}](https://tex.z-dn.net/?f=4x%3D%5Cdfrac%7B16%7D%7B19%7D)
Divide both sides by 4.
![x=\dfrac{16}{4\times 19}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B16%7D%7B4%5Ctimes%2019%7D)
![x=\dfrac{4}{19}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B4%7D%7B19%7D)
Now,
Mrs. Brown owns
![=\dfrac{12}{19}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B12%7D%7B19%7D)
Therefore, Mrs. Brown owns
of the business.
Answer:
The third one I have a formula sheet
Step-by-step explanation:
Answer:
The answer is: 83 + 12√35
(a + b)² = a² + 2ab + b²
In (2√5 + 3√7)², a = 2√5, b = 3√7
Just substitute a and b:
(a + b)² = a² + 2ab + b² = (2√5)² + 2 * 2√5 * 3√7 + (3√7)² =
= 2²√5² + 2 * 2 * 3 * √5 * √7 + 3²√7² =
= 4 * 5 + 12 * √(5*7) + 9 * 7 =
= 20 + 12 *√35 + 63 =
= 83 + 12√35
Step-by-step explanation: