Solving is :
X=2
Y=1
Step by step
(2x-3) + 5 = 3x
2x+2=3x
X=2
Substitute x by 2
Y=1
Answer:
Following are the answer to this question:
Step-by-step explanation:
Matrix:
![A=\left[\begin{array}{cc}0.3&0.7\\1&0\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0.3%260.7%5C%5C1%260%5Cend%7Barray%7D%5Cright%5D)
![A^2=\left[\begin{array}{cc}0.79&0.21\\0.3&0.7\end{array}\right]](https://tex.z-dn.net/?f=A%5E2%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0.79%260.21%5C%5C0.3%260.7%5Cend%7Barray%7D%5Cright%5D)
In the above-given matrix, all entries of the matrix A² will be positive and the matrix A will be the transition of the matrix A, that regulates the Markov chain.
Let x represent the total amount litters of solutions for 60% alcohol
15-x represent the total amount of litters of solutions for 35% alcohol, so:
0.6(x)+0.35(15-x)=0.5(15)
0.6x+5.25-0.35x=7.5
0.25x+5.25=7.5
Subtract 5.25 to each side
0.25x+5.25-5.25=7.5-5.25
0.25x=2.25
Divided 0.25 to each side
0.25x/0.25=2.25/0.25
x=9 liters
15-x
=15-9
=6 litters. As a result, she must use 9 litters of 60% alcohol and 6 litters of 35% alcohol to make 50% alcohol. Hope it help!
Hello!
The least common denominator is like the least common multiple. As you can see, these numbers already have the same denominators, and cannot be divided any further as they are prime.
Therefore, our answer is 3.
I hope this helps!
Answer: yes
Step-by-step explanation:
Ok!