Answer:
6 cups of yellow paint and 9 cups of red paint are required for 3 batches of orange paint.
Step-by-step explanation:
Consider the provided information.
A particular shade of orange paint has 2 cups of yellow paint for every 3 cups of red paint.
We need to find the numbers of cups of yellow and red paint needed for 3 batches of orange paint.
For one batches of orange paint we need 2 cups of yellow and 3 cups of red.
So for 3 batches of orange paint we need:
2×3 = 6 cups of yellow paint.
3×3 = 9 cups of red paint.
The required number line is shown below.
Step-by-step explanation:
x^2 + 13x + 36 = (x+4)(x+9)
x = -4 or x = -9
The perimeter of a polygon is equal to the sum of all its sides. In a rectangle with dimensions length, x and width, y is calculated through the equation,
P = 2x + 2y
If width is y, then length is equal to 3y - 8. Substituting these to the equaiton,
P = 2(3y - 8) + 2y
Simplifying,
24 = 6y - 16 + 2y
24 = 8y - 16
The value of y from the equation is 5.
x = 3y - 8 = 3(5) - 8 = 7
Answers:
x = 7 feet
y = 5 feet
Answer:
20
Step-by-step explanation:
because f (20) would also be 20. Since we don't know the value behind 20, we would suppose x is the value. The original equation is now 
. If we do 
we would get that (since x is being substituted) 
.
