If one gallon of paint covers 825sq. ft how much paint is needed to cover 2640 sq. ft

4 (3.2 exactly but you can't go to the store and say I want to buy 3.2 gallons of paint. They will look at you funny, So in this case you will by 4)

Step-by-step explanation:

2640/825 = 3.2 gallons

Step-by-step explanation:

1 gallon = 825 square feet

x gallons = 2640 square feet

1/x = 825/2640        Cross multiply

825 x = 2640          Divide by 825

x = 2640/825

x = 3.2 gallons.

The 0.2 has to be rounded up (usually you would round down. That's because you have to get another gallon to paint the small area that is not covered.

So the rounded answer is 4 gallons.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

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