A group of 8 friends went to lunh and Spent a total of $76 which included the food bill in the tip of $16 they decide to split the bill into evenly among themselves

The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

The solution x=60 represents the total food bill.

Step-by-step explanation:

As in the question it is mentioned that there is eight group of friends and the total amount incurred is $76 that also involved $16

Now let us assume the food bill be x

So the equation would be

(x + 16) ÷ 8 = 76 ÷ 8

(x + 16) ÷ 8 = 9.5

x + 16 = 9.5 × 8

x = 76 -16

x = 60

So, the bill of food is 60

As per the given options, the above two statements should be selected

$25

step-by-step explanation:

25 - 4.50 = 20.5

20.5 / 2 = 10.25

10.25 + 10 = 20.25

20.25 - 12.50 = 7.75

therefore the answer is $25 as shown as the first number.

(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