At kirn’s kuts hair salon, the cost of a child’s haircut (x) is $10 and the cost of an adults hair cut (y) is $20. the managers goal for the day is to have at least 5 childs cuts at least 10 adults cuts and gave total sales be at least $400. write a system of inequalities to represent this situation.

Step-by-step explanation:

System of inequalities

Inequality is a relationship between variables in which the right side is not equal to the left side.

We know the cost of a child’s haircut is $10, let's call x the number of child’s haircuts done in one day. The sales for a child’s haircut will be 10x.

We also know the cost of an adult's hair cut is $20. If y is the number of adults hair cuts, then the sales for adults hair cuts is 20y

These are the restrictions.

We need to have at least 5 Childs cuts, i.e.

We also need to have at least 10 adults cuts, i.e.

The total sales must be at least $400, i.e.

These 3 inequalities form the system required in the question

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