Given expression:
We need to add the given rational expressions.
First step: Combined like terms in the numerator and kept the common denominator.
Second step they applied : Canceling the like term x^2 and got
Note: We can't cancel like terms in top and bottom like this.
We can cancel out common factors in top an bottom.
<h3>Therefore, Micah did not add the expressions correctly.</h3>Given:
The ratio of cats to dogs is 3:7.
12 dogs escaped and the ratio is now 3 : 4.
To find:
The total number of animal at the beginning.
Solution:
Let the number of cats and dogs at the beginning are 3x and 7x respectively.
12 dogs escaped. So, the remaining number of dogs is (7x-12).
New ratio of cats and dogs is 3:4.
Divide both sides by -9.
Now, the total number of animals at the beginning is
Therefore, the total number of animals at the beginning is 40.
