Answer:
16 minutes
Step-by-step explanation:
Tom walks for 5 minutes longer than he rides. To figure out the answer, start by subtracting 5:
27 - 5 = 22
Now that you have done this, divide 22 by 2:
22/2 = 11
Now you know that he rode the bus for 11 minutes, and you can add five to the other 11 minutes to know how long he walked:
11 + 5 = 16.
Answer:
a_{n} = a_{1} + (n-1)d
a_n = the nᵗʰ term in the sequence
a_1 = the first term in the sequence
d = the common difference between terms
The general term of an arithmetic sequence can be written in terms of its first term a1, common difference d, and index n as follows: an=a1+(n−1)d. ... The nth partial sum of an arithmetic sequence can be calculated using the first and last terms as follows: Sn=n(a1+an)2.
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.