Anew soup recipe contains 33% less sodium per serving than the old soup recipe. the old soup recipe contained x milligrams of sodium per serving. which of the following expressions could represent the amount of sodium per serving, in milligrams, in the new soup recipe? a. 0.67x b. (1-33/100)x c. 0.33x d. x-33 e. x-33x

Option a :

and

b :.

Step-by-step explanation:

We are given that a old soup recipe and one  new soup recipe

We have to find  the expression which represents the amount of sodium per serving in milligrams, in the new recipe

We are given that

The old recipe contained amount of sodium per serving =x milligrams

We are given that the new soup recipe contains 33% less sodium  per serving than the old soup recipe

Therefore, 33% of x

33% of x

Now , according to question

The amount of sodium in new soup recipe ==

The amount of sodium in new soup recipe=

Therefore, the expression that represents the amount of sodium in new soup in milligrams in new soup recipe=

Hence. option a and b are true.

(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