Volume of rectangular prism = 1 1/3 x 5/6 x 2/3 = 4/3 x 5/6 x 2/3 = 20/27
Volume of cube = 1/6 x 1/6 x 1/6 = 1/216
Number of cubes that will pack the rectangular prism = 20/27 / 1/216 = 160
Answer:icecream
Step-by-step explanation:
Answer:
6*(6^-3)=0.027777 recurring
Step-by-step explanation:
6^0=1
6^-3=0.004629629 recuuring
0.004629629 recurring *6=0.0.02777recurring
Answer:
![(-1,\frac{17}{6})](https://tex.z-dn.net/?f=%28-1%2C%5Cfrac%7B17%7D%7B6%7D%29)
![(3,\frac{3}{2})](https://tex.z-dn.net/?f=%283%2C%5Cfrac%7B3%7D%7B2%7D%29)
![(-5,\frac{25}{6})](https://tex.z-dn.net/?f=%28-5%2C%5Cfrac%7B25%7D%7B6%7D%29)
Step-by-step explanation:
The given equation is ![2x+6y=15](https://tex.z-dn.net/?f=2x%2B6y%3D15)
We substitute the ordered pairs to see which ones satisfies the equation.
For (-1,-8), we put x=-1 and y=-8 to get:
![2(-1)+6(-8)=^?15](https://tex.z-dn.net/?f=2%28-1%29%2B6%28-8%29%3D%5E%3F15)
![-2+-48=^?15\\-50=^?15](https://tex.z-dn.net/?f=-2%2B-48%3D%5E%3F15%5C%5C-50%3D%5E%3F15)
This is not true.
For
we put x=-1 and
to get
![2(-1)+6*\frac{17}{6})=15\\ -2+17=15\\15=15](https://tex.z-dn.net/?f=2%28-1%29%2B6%2A%5Cfrac%7B17%7D%7B6%7D%29%3D15%5C%5C%20-2%2B17%3D15%5C%5C15%3D15)
This is true
For (3,3/2) we have 2(3)+6(3/2)=15
This implies 6+9=15
15=15
This is also True
For (-5,25/6), we have 2(-5)+6(25/6)=-10+25=15
This is also true.