Kara and james both like to mix a little bit of milk with their eggs when they make scrambled eggs. kara mixes 3/4 tablespoons of milk with one egg. james mixes 1 1/4 tablespoons milk with two eggs. is there a proportional relationship between kara and james milk and egg amounts?

No, there is not a proportional relationship.

Step-by-step explanation:

A proportional relationship is when 2 amounts have the same ratios.

The easiest way to see this is to put them into decimal form.

3/4 is equal to 0.75 (You can find this by dividing 3 and 4 in the calculator)

1 1/4 is equal to 1.25

Kara mixes every 0.75 with 1 egg.

James mixes every 1.25 tablespoons with 2 eggs.

Divide 1.25 by 2 to find out how many tablespoons that James mixes with 1 egg.

1.25  tablespoons /2 = 0.625

2 eggs                   /2 = 1 egg  

Therefore, James mixes 0.625 tablespoons of milk with 1 egg.

They do not mix the same amount of tablespoons of milk for ever ONE egg,  meaning that they are not proportional.

the answer is 62

(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