Brand a is sold in 3 lb packages for $5.75. Brand b is sold in 33 Ounces packages for $2.64.which package has a smaller cost per ounces?

Step-by-step explanation:

Brand b is already in a measure of ounces, but Brand a is in pounds.  We need to convert that number of pounds to number of ounces.  There are 16 ounces in a single pound, so in 3 pounds, there are 48 ounces. Finding the cost per ounce now is easy:

5.75/48 = .12 cents per ounce

2.64/33 = .08 cents per ounce

Brand b is cheaper per ounce

the monthly balance will be $75,000

(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