Hu the harringtons go to a restaurant for lunch and their bill is $86.20. after 6.5% tax and tip, they pay a total of $100. if the harringtons were exceptionally with their service, decide if their tip reflected this. explain your reasoning.

Given that total bill amount = $86.20

Tax = 6.5%

So total amount Harringtons should pay = 86.20 + 6.5% of 86.20

= 86.20 + 0.065*86.20

= 86.20 + 5.603

= 91.803

Given that they paid a total of $100 including the tip so tip can be found by subtracting total bill amount from paid amount

tip = 100 - 91.803

tip = 8.197

If we compare the bill amount $86.20 with the tip amount $8.197. We see that tip is not very big as compared to bill.

So according to me, the tip value doesn't truely reflect that Harringtons were exceptionally pleased with their service.

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2