Todd and his family went out to eat. The meal cost $126. There was 8.5% tax added on after this and then Todd left a 20% tip on the meal (before tax). How much did he spend in total?

$161.91

Step-by-step explanation:

Todd and his family went out to eat. The meal cost $126.

There was 8.5% tax added on after this. Hence, the tax added will be:

= $10.71

The tax added on was $10.71

Todd left a 20% tip on the meal (before tax). Hence, the tip he left will be:

 = $25.20

He left a tip of $25.20

The total amount of money he spent will be:

$126 + $10.71 + $25.20 = $161.91

He spent $161.91 in total.

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(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240