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)
Answer:
(x,y)=(-13,-12)
Step-by-step explanation:
5x - 7y = 19
7x - 7y = -7 Multiply both sides of the equation by -1
Which then gives you :
5x-7y=19 Sum the equations vertically to eliminate
-7x+7y=7 at least on variable
-2x=26 Divide both sides of the equation by -2
X=-13 Substitute the given value of x into the equation 7x - 7y =-7
7 x(-13)-7y=-7 solve the equation for y
y=-12
Thus gives you (-13,-12)
Hope this was useful!!! Sorry if it's wrong.
Answer:
$750.
Step-by-step explanation:
Let x represent the number of pizzas sold, and y represent the pizza parlor's profits in dollars.
We have been given the linear regression line
, which predicts a pizza parlor's profits based on the number of pizzas sold.
To find the profit of pizza parlor when it sells 275 pizzas, we will substitute x=275 in our given equation.
![y=3.009*275-77.131](https://tex.z-dn.net/?f=y%3D3.009%2A275-77.131)
![y=827.475-77.131](https://tex.z-dn.net/?f=y%3D827.475-77.131)
![y=750.344\approx 750](https://tex.z-dn.net/?f=y%3D750.344%5Capprox%20750)
Therefore, the pizza parlor will make a profit of $750, if it sells 275 pizzas.
10 oz+ 14 oz + 40 oz = 64 oz
1 pound= 16 oz
64oz/16oz=4 pounds