Answer:
144 cups-14 pints
Step-by-step explanation:
Answer:
- (x, y) = (8, -1)
- (x, y) = (7, 10.5)
Step-by-step explanation:
1. You can use the expression for y to substitute into the first equation:
2x +4(1/4x -3) = 12
2x +x -12 = 12 . . . . . . eliminate parentheses
3x = 24 . . . . . . . . . . . add 12; next divide by 3
x = 8 . . . . . matches choice C
__
2. You can use the expression for y to substitute into the second equation:
x -2(2x -3.5) = -14
-3x +7 = -14 . . . . . . eliminate parentheses
21 = 3x . . . . . . . . . . add 3x+14; next divide by 3
7 = x . . . . . matches the third choice
_____
When the answer choices are sufficiently different, you only need to find one value to determine which is the correct choice. (If you want to check your work further, you can substitute the other answer value into the two equations to see if it works.)
Answer:
104 burgers
Step-by-step explanation:
So there are 64 burgers sold with cheese and the rest were sold without cheese and the ratio is 8:5.
So basicly divide 64 by 8 and you get 8.
Then multiply 8 by 5 and you get 40.
So there were 40 burgers sold without cheese and 64 with cheese.
So in total the answer is 104.
Rewriting the left-hand side as follows,
![(2\cos\theta-6\sin \theta)^2 +(6\cos \theta+2\sin \theta)^2\\\\=4\cos^2 \theta-24\cos \theta \sin \theta+36 \sin^2 \theta+36 \cos^2 \theta+24 \cos \theta \sin \theta+4 \sin^2 \theta\\\\=40\cos^2 \theta+40 \sin^2 \theta\\\\=40(\cos^2 \theta+\sin^2 \theta)\\\\=40](https://tex.z-dn.net/?f=%282%5Ccos%5Ctheta-6%5Csin%20%5Ctheta%29%5E2%20%2B%286%5Ccos%20%5Ctheta%2B2%5Csin%20%5Ctheta%29%5E2%5C%5C%5C%5C%3D4%5Ccos%5E2%20%5Ctheta-24%5Ccos%20%5Ctheta%20%5Csin%20%5Ctheta%2B36%20%5Csin%5E2%20%5Ctheta%2B36%20%5Ccos%5E2%20%5Ctheta%2B24%20%5Ccos%20%5Ctheta%20%5Csin%20%5Ctheta%2B4%20%5Csin%5E2%20%5Ctheta%5C%5C%5C%5C%3D40%5Ccos%5E2%20%5Ctheta%2B40%20%5Csin%5E2%20%5Ctheta%5C%5C%5C%5C%3D40%28%5Ccos%5E2%20%5Ctheta%2B%5Csin%5E2%20%5Ctheta%29%5C%5C%5C%5C%3D40)
Answer:
![1200cm^{2}](https://tex.z-dn.net/?f=1200cm%5E%7B2%7D)
Step-by-step explanation:
Surface Area for a Rectangular Prism: 2(lw+lh+wh)
Length = 25cm
Width = 10cm
Height = 10cm
2(25x10+25x10+10x10) =![1200cm^{2}](https://tex.z-dn.net/?f=1200cm%5E%7B2%7D)