I was training the cross country team. Every week I expected the students to run 12 3/4 miles every week. If the kids ran for 5 days that week, how many miles would they need to run each day to meet my expectations ?

x = 2.55 miles per day

Step-by-step explanation:

In English:     5 days * 'x' miles per day = 12 & 3/4 miles total

In algebra:    5x = 12.75

                       x = 12.75 ÷ 5

                      x = 2.55 miles per day

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b

.there can be infinite values of m and n that can satisfy the above equation. for each value of m of m or n. there maybe infinite sets of solution for the above

step-by-step explanation: