Answer:it would be 7/12 I think
Step-by-step explanation:
Answer:
1296 different outcomes
Step-by-step explanation:
Each cube has 6 possible values (from 1 to 6), and for each additional cube rolled, we have 6 more possible values, and the final number of different outcomes is the product of all the number of possible values for each cube.
So, if we roll the cube four times, the total number of different outcomes is:
6 * 6 * 6 * 6 = 1296
We have 1296 different outcomes from rolling the six sided cube four times.
Answer: The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.
Step-by-step explanation: The given system of linear equations is :

We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.
The determinant of the co-efficient matrix is given by

Now, from equations (ii) and (iii), we have

Substituting the value of y and z from equations (iv) and (v) in equation (i), we get

From equations (iv) and (v), we get

Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.
Answer:
a = 18
Step-by-step explanation:
3(x+6)-x = 2x + a
Distribute
3x +18 -x = 2x+a
2x +18 = 2x+a
Subtract 2x from each side
18 = a