To solve the equation 3x + 7 = 19 - 4x, we need to isolate the variable x on one side of the equation.
First, we can combine like terms by adding 4x to both sides:
3x + 4x + 7 = 19
Then, we can simplify by combining like terms again:
7x + 7 = 19
Next, we can isolate the variable by subtracting 7 from both sides:
7x = 12
Finally, we can solve for x by dividing both sides by 7:
x = 12/7
Therefore, x = 1.714.
As for the second question, the probability of rolling a six-sided die and getting three consecutive numbers in a row is quite low. There are only four sets of three consecutive numbers possible with a six-sided die: 1, 2, 3; 2, 3, 4; 3, 4, 5; and 4, 5, 6.
The probability of rolling the first set, 1, 2, 3, is (1/6) x (1/6) x (1/6) = 1/216.
The probability of rolling the second set, 2, 3, 4, is also 1/216.
The probability of rolling the third set, 3, 4, 5, is also 1/216.
The probability of rolling the fourth set, 4, 5, 6, is also 1/216.
Therefore, the total probability of rolling three consecutive numbers in a row is the sum of these probabilities:
1/216 + 1/216 + 1/216 + 1/216 = 4/216
Simplifying, we get:
4/216 = 1/54
Therefore, the probability of rolling three consecutive numbers in a row with a six-sided die is 1/54.