Answer:
It’s 15/3+(2•11)
Step-by-step explanation:
answer = ) 100.80
Step-by-step explanation:
I subtracted the people who payed on the 1st of the month which was 4 from the total 12 memebers. I got 8, then that 8 payed on the 2nd of the month so I multiplied 8 by 12.60
Answer:
The volume of the prism is 6 unit³
Step-by-step explanation:
In order to calculate the volume of the prism we first need to calculate the volume of each cube. The volume of a cube is given by the formula below:
volume cube = a³
Where a is the length of the side of the cube. So each cube has a volume of:
volume cube = (1/2)³ = 1/8 unit³
Since the cubes are filling the prism, the volume of the prism is the sum of the volume of all the cubes, in this case 48. Since all the cubes are equal, we can multiply the number of cubes by the volume of one cube in order to calculate the volume of the prism. We have:
volume prism = 48*volume cube
volume prism = 48*(1/8) = 6 unit³
Answer: 135
Step-by-step explanation:
m<D+45=180
the measure of <D is 135
Solve both equations for y:
![x-y=3 \ \ \ |-x \\ -y=-x+3 \ \ \ |\times (-1) \\ y=x-3 \\ \\ ay+3a=0 \ \ \ |-3a \\ ay=-3a \ \ \ |\div a, a \not= 0 \\ y=-3](https://tex.z-dn.net/?f=x-y%3D3%20%5C%20%5C%20%5C%20%7C-x%20%5C%5C%0A-y%3D-x%2B3%20%5C%20%5C%20%5C%20%7C%5Ctimes%20%28-1%29%20%5C%5C%0Ay%3Dx-3%20%5C%5C%20%5C%5C%0Aay%2B3a%3D0%20%5C%20%5C%20%5C%20%7C-3a%20%5C%5C%0Aay%3D-3a%20%5C%20%5C%20%5C%20%7C%5Cdiv%20a%2C%20a%20%5Cnot%3D%200%20%5C%5C%0Ay%3D-3)
Set the expressions equal to each other:
![y=y \\ x-3=-3 \ \ \ |+3 \\ x=0 \\ \\ (x,y)=(0,-3)](https://tex.z-dn.net/?f=y%3Dy%20%5C%5C%20x-3%3D-3%20%5C%20%5C%20%5C%20%7C%2B3%20%5C%5C%0Ax%3D0%20%5C%5C%20%5C%5C%0A%28x%2Cy%29%3D%280%2C-3%29)
So, for every nonzero number a the system of equations has
one solution.