Answer:
6x−16
Step-by-step explanation:
Answer: 8.01
Step-by-step explanation:
Speed = distance/time = 280/4.5 = 62.44mph
Time = distance/speed = 500/62.44 = 8.0071 hrs
Answer:
Small candies ![=9](https://tex.z-dn.net/?f=%3D9)
Extra large candies ![=12](https://tex.z-dn.net/?f=%3D12)
Step-by-step explanation:
Let small candies ![=x](https://tex.z-dn.net/?f=%3Dx)
Extra large candies ![=y](https://tex.z-dn.net/?f=%3Dy)
the number of candies is at least
.
![x+y\geq20](https://tex.z-dn.net/?f=x%2By%5Cgeq20)
Cost of
small candy ![=\$4](https://tex.z-dn.net/?f=%3D%5C%244)
Cost of
extra large candy ![=\$12](https://tex.z-dn.net/?f=%3D%5C%2412)
but she has only
to spend
![4x+12y\leq180](https://tex.z-dn.net/?f=4x%2B12y%5Cleq180)
Solve for
![x+y=20.......(1)\\4x+12y=180.....(2)\\eqn(2)-eqn(1)\times4\\8y=100\\y=\frac{100}{8} \\y=\frac{25}{8} \\from\ eqn(1)\\x+\frac{25}{2}=20\\ x=20-\frac{25}{2} \\x=\frac{15}{2}](https://tex.z-dn.net/?f=x%2By%3D20.......%281%29%5C%5C4x%2B12y%3D180.....%282%29%5C%5Ceqn%282%29-eqn%281%29%5Ctimes4%5C%5C8y%3D100%5C%5Cy%3D%5Cfrac%7B100%7D%7B8%7D%20%5C%5Cy%3D%5Cfrac%7B25%7D%7B8%7D%20%5C%5Cfrom%5C%20eqn%281%29%5C%5Cx%2B%5Cfrac%7B25%7D%7B2%7D%3D20%5C%5C%20x%3D20-%5Cfrac%7B25%7D%7B2%7D%20%5C%5Cx%3D%5Cfrac%7B15%7D%7B2%7D)
Since number of candies should be integer.
let ![x=7,y=13](https://tex.z-dn.net/?f=x%3D7%2Cy%3D13)
total spend
which is more than
, so this combination is not possible.
![let\ x=8,y=12\\8\times4+12\times12=176](https://tex.z-dn.net/?f=let%5C%20x%3D8%2Cy%3D12%5C%5C8%5Ctimes4%2B12%5Ctimes12%3D176%3C180)
She has
more so she can buy
more small candy.
Hence small candy ![=9](https://tex.z-dn.net/?f=%3D9)
extra large candy ![=12](https://tex.z-dn.net/?f=%3D12)
Answer:
K still the same value
Step-by-step explanation:
given a reaction aA+bB<->cC+dD the constant K is defined as:
![\frac{C^{c}D^{d} }{A^{a}B^{b} }](https://tex.z-dn.net/?f=%5Cfrac%7BC%5E%7Bc%7DD%5E%7Bd%7D%20%20%7D%7BA%5E%7Ba%7DB%5E%7Bb%7D%20%7D)
K is a constant so it won't change the value. Instead, the values of C and D are going to change. The position of equilibrium moves because of the need to keep a constant value for the equilibrium constant.
Answer:
C.)-5
Step-by-step explanation:
y2-y1/x2-x1
(-9,6) (-6,-9)
-9-6=-15
-6-(-9)=3
-15/3=-5