The price of an all-access ticket to the fair is $42.99 before tax. roland bought the all-access ticket for 40% off. he then paid 7% sales tax on the discounted price. part a: how much did roland pay in sales tax? show all work and steps in your solution. (5 points) part b: what is the total amount that roland paid for the ticket? show all work and steps in your solution. (5 points)

PART A:

      $ 1.80558

PART B:

     $ 27.59958    

Also,

i.e. he will have to pay (100-40)%=60% of the amount of the actual ticket.

This means that the price of ticket after the offer will be:

Hence, discounted price=$ 25.794

i.e.

he has to pay 7% tax on 25.794

i.e.

PART A:  

         Hence, the amount of sales tax=$ 1.80588

PART B:

      The total amount that he will pay for the ticket is:

   Amount of tax+Discounted price

=  1.80558+25.794

= $  27.59958

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