Answer:
Since there are 4.5*10^2 grams of trash per day per person, we multiply that by 3.2*10^6 for everyone in the US and then multiply that by 365 to get how much in a year, which is 525600000000 or 5.256*10^11 (I think it's 11)
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
The slope is change in y divided by the change in x
Change in distance / change in hour
m = (400-200)/(8-4)
= 200/4
= 50
312 is the LCM for this set
Answer:
Option (2)
Step-by-step explanation:
Given expression is, AX + B = C
![A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}](https://tex.z-dn.net/?f=A%3D%5Cbegin%7Bbmatrix%7D-3%20%26%20-4%5C%5C%201%20%26%200%5Cend%7Bbmatrix%7D)
![B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}](https://tex.z-dn.net/?f=B%3D%5Cbegin%7Bbmatrix%7D-7%20%26%20-9%5C%5C%204%20%26%20-1%5Cend%7Bbmatrix%7D)
![C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}](https://tex.z-dn.net/?f=C%3D%5Cbegin%7Bbmatrix%7D-42%20%26%20-20%5C%5C%205%20%26%204%5Cend%7Bbmatrix%7D)
AX + B = C
AX = C - B
C - B =
= ![\begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D-42%2B7%20%26%20-20%2B9%5C%5C%205-4%20%26%204%2B1%5Cend%7Bbmatrix%7D)
C - B = ![\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D-35%20%26%20-11%5C%5C%201%20%26%205%5Cend%7Bbmatrix%7D)
Let ![X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}](https://tex.z-dn.net/?f=X%3D%5Cbegin%7Bbmatrix%7Da%20%26%20b%5C%5C%20c%20%26%20d%5Cend%7Bbmatrix%7D)
AX =
= ![\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D%28-3a-4c%29%20%26%20%28-3b-4d%29%5C%5C%20a%20%26%20b%5Cend%7Bbmatrix%7D)
Since AX = C - B
![\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}=\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D%28-3a-4c%29%20%26%20%28-3b-4d%29%5C%5C%20a%20%26%20b%5Cend%7Bbmatrix%7D%3D%5Cbegin%7Bbmatrix%7D-35%20%26%20-11%5C%5C%201%20%26%205%5Cend%7Bbmatrix%7D)
Therefore, a = 1, b = 5
(-3a - 4c) = -35
3(1) + 4c = 35
3 + 4c = 35
4c = 32
c = 8
And (-3b - 4d) = -11
3(5) + 4d = 11
4d = -4
d = -1
Therefore, Option (2). X =
will be the answer.
Answer:
81
Step-by-step explanation:
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