![\left[\begin{array}{ccc}1&3&7\\1&1&1\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%263%267%5C%5C1%261%261%5Cend%7Barray%7D%5Cright%5D%20)
multiply 2nd row by -1 and add to first row
![\left[\begin{array}{ccc}0&2&6\\1&1&1\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%262%266%5C%5C1%261%261%5Cend%7Barray%7D%5Cright%5D%20)
divide the 1st row by 2
![\left[\begin{array}{ccc}0&1&3\\1&1&1\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%263%5C%5C1%261%261%5Cend%7Barray%7D%5Cright%5D%20)
multiply the first row by -1 and add to 2nd row
![\left[\begin{array}{ccc}0&1&3\\1&0&-2\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%263%5C%5C1%260%26-2%5Cend%7Barray%7D%5Cright%5D%20)
now we know
y+3=0
x-2=0
therefor
y=-3
x=2
Answer:
2 x 3² x 5 x 11
Step-by-step explanation:
990 ÷ 2 = 495 so 2 is one factor
495 ÷ 2 = 247.5 - There is a remainder. So we can't divide by 2 anymore. Use next prime number
495 ÷ 3 = 165 - No remainder. So 3 is one factor
165 ÷ 3 = 55 - No remainder. So 3 is one factor
55 ÷ 3 = 18.3333 - There is a remainder. We can't divide by 3. Use next prime number
55 ÷ 5 = 11 - No remainder. So 5 is one factor
11 ÷ 5 = 2.2 - There is a remainder. We can't divide by 5. Use next prime number
11 ÷ 7 = 1.5714 - This has a remainder. So 7 is not a factor.
11 ÷ 11 = 1 - No remainder. SO 11 is one factor
Now put it together: 2 x 3² x 5 x 11
Factor trees also help. Have a good day or night
The inner circle circumference is 18 and the outer is 4
If you initially have 6 W, 4 R, and 8 B, and you take away two whites and a red, then you have 4W, 3 R and 8 B. There are 15 marbles total, and 8 black marbles, so you have an 8 in 15 or 53% chance of picking a black marble.
