Answer:
- 3.75 bags of ChowChow
- 0.75 bags of Kibble
Step-by-step explanation:
The constraints on protein, minerals, and vitamins give rise to the inequalities ...
40c +30k ≥ 150 . . . . . . required protein
20c +20k ≥ 90 . . . . . . required minerals
10c +30k ≥ 60 . . . . . . . required vitamins
And we want to minimize 10c +12k.
The graph shows the vertices of the feasible region in (c, k) coordinates. The one that minimizes cost is (c, k) = (3.75, 0.75).
To minimize cost, the daily feed should be ...
- 3.75 bags of ChowChow
- 0.75 bags of Kibble
Daily cost will be $46.50.
Answer:
-243
Step-by-step explanation:
(-3) (-3) (-3) (-3) (-3) = - 243
![\frac{1}{-243 }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B-243%20%7D)
Answer:
![\large\boxed{y=-\dfrac{3}{10}x+\dfrac{1}{2}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7By%3D-%5Cdfrac%7B3%7D%7B10%7Dx%2B%5Cdfrac%7B1%7D%7B2%7D%7D)
Step-by-step explanation:
The slope-intercept form of an equation of a line:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m - slope
b - y-intercept
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points from the graph (-5, 2) and (5, -1).
Substitute:
![m=\dfrac{-1-2}{5-(-5)}=\dfrac{-3}{10}=-\dfrac{3}{10}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-1-2%7D%7B5-%28-5%29%7D%3D%5Cdfrac%7B-3%7D%7B10%7D%3D-%5Cdfrac%7B3%7D%7B10%7D)
We have the equation in form:
![y=-\dfrac{3}{10}x+b](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B3%7D%7B10%7Dx%2Bb)
Put the coordinates of the point (5, -1) to the equation:
![-1=-\dfrac{3}{10}(5)+b](https://tex.z-dn.net/?f=-1%3D-%5Cdfrac%7B3%7D%7B10%7D%285%29%2Bb)
![-1=-\dfrac{3}{2}+b](https://tex.z-dn.net/?f=-1%3D-%5Cdfrac%7B3%7D%7B2%7D%2Bb)
<em>add 3/2 to both sides</em>
![\dfrac{1}{2}=b\to b=\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%3Db%5Cto%20b%3D%5Cdfrac%7B1%7D%7B2%7D)
Answer:
see below
Step-by-step explanation:
Pedro has 3 boxes of 6 markers.
3*6 = 18 markers
We can divide this by 2 because this is even
18/2 = 9
There are 9 in each group
Rafael has 5 boxes of 5 markers
5*5 = 25
We cannot divide this by 2 because this is odd
Answer:
1. 50
2. 5
3.19
Step-by-step explanation: