Answer:
(B) ![\dfrac{3}{1}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B1%7D)
Step-by-step explanation:
Given a point
on the line segment BD, the internal division formula is given by:
![C(x,y)=(\dfrac{mx_2+nx_1}{m+n} ,\dfrac{my_2+ny_1}{m+n} )\\\\(x_1,y_1)=B(0, 1)$ and (x_2,y_2)=D(4, 1)\\](https://tex.z-dn.net/?f=C%28x%2Cy%29%3D%28%5Cdfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%20%2C%5Cdfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%20%29%5C%5C%5C%5C%28x_1%2Cy_1%29%3DB%280%2C%201%29%24%20and%20%28x_2%2Cy_2%29%3DD%284%2C%201%29%5C%5C)
Therefore:
![C(3,1)=(\dfrac{m*4+n*0}{m+n} ,\dfrac{m*1+n*1}{m+n} )\\C(3,1)=(\dfrac{4m}{m+n} ,\dfrac{m+n}{m+n} )\\$Therefore:\\\dfrac{4m}{m+n}=3\\4m=3(m+n)\\4m=3m+3n\\4m-3m=3n\\m=3n\\$Divide both sides by n$\\\dfrac{m}{n}= \dfrac{3}{1}](https://tex.z-dn.net/?f=C%283%2C1%29%3D%28%5Cdfrac%7Bm%2A4%2Bn%2A0%7D%7Bm%2Bn%7D%20%2C%5Cdfrac%7Bm%2A1%2Bn%2A1%7D%7Bm%2Bn%7D%20%29%5C%5CC%283%2C1%29%3D%28%5Cdfrac%7B4m%7D%7Bm%2Bn%7D%20%2C%5Cdfrac%7Bm%2Bn%7D%7Bm%2Bn%7D%20%29%5C%5C%24Therefore%3A%5C%5C%5Cdfrac%7B4m%7D%7Bm%2Bn%7D%3D3%5C%5C4m%3D3%28m%2Bn%29%5C%5C4m%3D3m%2B3n%5C%5C4m-3m%3D3n%5C%5Cm%3D3n%5C%5C%24Divide%20both%20sides%20by%20n%24%5C%5C%5Cdfrac%7Bm%7D%7Bn%7D%3D%20%5Cdfrac%7B3%7D%7B1%7D)
Therefore the fraction which compares BC to BD is ![\dfrac{3}{1}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B1%7D)
Mean is the average number. To find mean, add all the numbers and divide by how many numbers there are.
![78 + 82 + 91 + 100 + 78 + 92 + 82 + 77 + 80 = 760](https://tex.z-dn.net/?f=%2078%20%2B%2082%20%2B%2091%20%2B%20100%20%2B%2078%20%2B%2092%20%2B%2082%20%2B%2077%20%2B%2080%20%3D%20760%20)
There are 9 numbers. Divide by 9
![760 \div 9 = 84.44](https://tex.z-dn.net/?f=%20760%20%5Cdiv%209%20%20%3D%2084.44%20)
Question 6 ⇒ C. 84.44
Median is the middle number when ordered from least to greatest. First order the numbers.
![4, 5, 6, 9, 10, 11, 12, 13, 15, 16](https://tex.z-dn.net/?f=%204%2C%205%2C%206%2C%209%2C%2010%2C%2011%2C%2012%2C%2013%2C%2015%2C%2016%20)
The 2 middle numbers are 10 and 11. Add them together and divide by 2
![10 + 11 = 21 \\ 21 \div 2 = 10.5](https://tex.z-dn.net/?f=%2010%20%2B%2011%20%3D%2021%20%5C%5C%2021%20%5Cdiv%202%20%20%3D%2010.5%20)
Question 7 ⇒ D. 10.5
The answer is 3:15, Hope this helped!
90+90*0.5 = 90+45 = 135
OR
90*1.5 = 135
These are the same things. The sales price of the hand bag now is 135 dollars
Answer:
<h3><em>CORRECT ME IF I'M WRONG</em></h3>
Step-by-step explanation:
<h2><em>#</em><em>CARRY ON LEARNING</em></h2>