Josiah is takimg his friends to the movies. each ticket costs $10, and popcorn is $5 a bag. there is a $3 service fee for the entire purchase. he has $75. he buys 4 tickets, and wants to figure out the maximum number of bags of popcorn he can buy. solve the inequality 10x+5y+3< 75 where x= number of tickets and y= number of bags of popcorn to answer the question a)5 b)7 c)10 d)6

10 times 4 = 40

40 + 3 = 43

75 - 43 = 32

32 divided by 5 = 6.4

5 times 6 = 30

he will have $2 left over after buying 6 bags of popcorn , 4 tickets plus the 3 dollor fee

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