Two puppies, ruth and scoonsie, and playing together. scoonsie weighs 11 kilograms, and ruth is lighter than scoonsie. write an inequality that describes r, ruth's weight in kilograms

Step-by-step explanation:

Let r represent Ruth's weight in kilograms.

We have been given that Scoonsie weighs 11 kilograms and Ruth is lighter than Scoonsie. This means that the weight of Ruth will be less than the weight of Scoonsie.

We can represent this information in an inequality as:

Therefore, the inequality represents  Ruth's weight in kilograms.  

addition

step-by-step explanation:

(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