Each die has 6 possible outcomes (the numbers from 1 to 6).
If we roll two dices, the total number of outcomes is 6 * 6 = 36.
From these outcomes, the ones that have a sum of 4 are:
(1, 3), (2, 2) and (3, 1).
So, if we have 3 wanted outcomes from a total of 36, the probability is:
Therefore the correct option is the second one.
Answer: C. The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
Step-by-step explanation:
You know that the first equation is:
And the second equation is:
According to the Addition property of equality:
If ; then
Then, you can add 6 to both sides of the first equation to keep it balanced. Then, you get:
Therefore, you can observe that the second equation can be obtained by adding 6 to both sides of the first equation, therefore, the equations have the same solution.
If you want to verify this, you can solve for "x" from both equations:
- First equation:
- Second equation: