R/2-6=14
r/2=20
r=40
The answer is 40
Use the distributive property to combine like terms. Since we only have one X value and one y value we need to use the 4. 2x times 4 is 4x. 3y times 4 is 6y. Now the equation can be simplified to 4x plus 6y. We have no more like terms so the equation cannot be simplified any further without more context.
10x + 9
because the -6x and positive 6x cancel out and all you have left is 2+2+5 and 10x
Answer:
x=24
Step-by-step explanation:
4(2/3x+2)=3x
8/3x+8=3x
collect like terms
8=3x-8/3x
8=
cross multiplication
9x-8x=8 x 3
x=24
Answer:
width = 5 feet
length = 11 feet
Step-by-step explanation:
Using one variable and setting up two expressions equal to the total area of the rectangle will determine the dimensions of the rectangle.
w = width
l = '4 feet less than three times the width' or 3w - 4
Area = length x width
A = w(3w - 4) = 55
Distribute: 3w² - 4w = 55
Set equation equal to '0': 3w² - 4w - 55 = 0
Multiply 3 x -55 = -165 and find two factors with a product of -165 and sum of -4: -15 and 11.
3w² - 15w + 11w - 55
Group and find the GCF (greatest common factor):
3w(w - 5) + 11(w - 5)
(3w + 11)(w - 5) = 0
3w + 11 = 0 and w - 5 = 0
w = -11/3 not possible to have negative measurement
w = 5 feet
Solve for length: 3(5) - 4 = 11 feet
