Answer:

Step-by-step explanation:
simplify
by putting the negative sign on the outside. 
find the LCM of the denominators. It is (x-1)(x-2). Multiply by the LCM:

Simplify:

solve: 
For this case we have the following system of equations:

From the first equation we clear "x":

We substitute in the second equation:

We apply distributive property:

We add similar terms:

We add 65 to both sides:

We divide between 22 on both sides:

We look for the value of the variable "x":

Thus, the solution of the system is:

ANswer:

Let x = amount invested in 2% CD and y = amount invested in 3% CD
x + y = 60000
0.02x + 0.03y = 1600
SOLVE THE 1st EQUATION FOR x AND SUBSTITUTE RESULT IN 2nd
0.02(60000 - y) + 0.03y = 1600
1200 - 0.02y + 0.03y = 1600
0.03y = 400
y = 13333.34
x = 46666.66
The most likely number of cats = 21/37 x 8 = 4.54 ≈ 5 cats
The most likely number of dogs = 16/37 x 8 = 3.46 ≈ 3 dogs
The probability of that arrangement happening = 1/8^2 = 1/64 = 0.00156
Answer:
Step-by-step explanation:
Gg