1. ramon spends 2/5 of his monthly income on rent, 1/5 of his monthly income on utilities, and 3/4 of the amount remaining on food and recreation. ramon saves the rest. if the amount he saves each month is $193.50, what is ramon’s monthly income?

2/5 + 1/5 = (3/5) rent and utilities

(3/4) of (2/5) = food and recreation

(3/4) of (2/5) = 3/10

Savings = (5/5) -(3/5) -(3/10) = 1/10

So, if he is saving $193.50 then monthly income = $1,935.00

DOUBLE-CHECK

Rent & Utilities = (3/5) * 1,935.00 = 1,161.00

food and recreation = 3/10 * 1,935.00 = 580.50

Savings = $193.50

Total = 1,161.00 + 580.50 + 193.50 = $1,935.00

Correct!!

Step-by-step explanation:

number one is the correct answer

step-by-step explanation: dogs and cats are mentioned, no other animals

(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