Ahat salesman earns a commission of 15% of all hat sales. yesterday he sold 3 hats for $90 each and 4 hats for $50 each. how much did he earn in commission yesterday?

He earned $70.50 as commission.

Step-by-step explanation:

Given: A hat salesman earns a commission of 15% of all hat sales. Yesterday he sold 3 hats for $90 each and 4 hats for $50 each.

Let's find the total sale value of the hat yesterday.

Total sale = 3*$90 + 4*$50

= $270 + $200

Total sale of the hat = $470.

The salesman earns 15% commission the total sale value.

15% = 15/100 = 0.15

commission = 15% of $470

= 0.15*470

= $70.50

He earned $70.50 as commission.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

just take the area of the square and then the area of the circle then subtract the circle area from the squares area

step-by-step explanation: