If reflected over y = x
<u>then use</u>
<u />![\left[\begin{array}{ccc}0&1\\1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%5C%5C1%260%5Cend%7Barray%7D%5Cright%5D)
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![\left[\begin{array}{ccc}0&1\\1&0\end{array}\right] \left[\begin{array}{ccc}3&6&3\\-3&3&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%5C%5C1%260%5Cend%7Barray%7D%5Cright%5D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%266%263%5C%5C-3%263%263%5Cend%7Barray%7D%5Cright%5D)
similar as (x, y) → (y, x)
<u>multiply the matrixes to get the final answer</u>
![\left[\begin{array}{ccc}(3*0+1*-3)&(6*0+1*3)&(3*0+1*3)\\(3*1+(-3*0)&(1*6+0*3)&(1*3+0*3)\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%283%2A0%2B1%2A-3%29%26%286%2A0%2B1%2A3%29%26%283%2A0%2B1%2A3%29%5C%5C%283%2A1%2B%28-3%2A0%29%26%281%2A6%2B0%2A3%29%26%281%2A3%2B0%2A3%29%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{ccc}-3&3&3\\3&6&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%263%263%5C%5C3%266%263%5Cend%7Barray%7D%5Cright%5D)
Answer:
$7.99
Step-by-step explanation:
6.5% of 7.5 = 0.4875
7.5 + 0.4875 = 7.9875 or about 7.99
Answer:
12 miles squared
Step-by-step explanation:
So just by the question, we are aware that when we divide 4,005 ounces by 16, it is not going to be a pretty number - there are going to be some left over in the form of a fraction.
First we must find out how many of these bottles can be completely filled until there is only the small fraction left that is not able to fill up a bottle. So let's divide:

And now we know that 250 bottles will be filled completely. To find the amount of ounces left over, let's see how many ounces 250 bottles is:

There are 4,000 ounces in 250 bottles. So we need to subtract our initial amount from this known amount:

So there are only 5 ounces of water remaining after 250 bottles are completely filled. To put this into a fraction of the original amount, we just divide by the initial amount (4,005):

If the question is asking for the remainder in terms of a bottle, we just divide these 5 ounces by the 16 ounces it would take to fill this bottle:

Answer:
4
Step-by-step explanation:
The constant is the number without a variable, usually being added or subtracted from the variable but not multiplied or divided by it.