Answer:
A(x) = x(200-x)
Step-by-step explanation:
400 feet of fencing to enclose a rectangular dog exercise pen means the perimeter of rectangle is 400 feet
If x is length and y is breadth. Perimeter is given by :
P = 2(x+y)
400 = 2(x+y)
⇒ (x+y) = 200 .....(1)
y = 200-x
Area of a rectangle is given by :
A = xy
A(x) = x(200-x)
Hence, the area as a function of length of rectangle is x(200-x).
This statement is false.
If he were to double the amount that Emily has to get franks, franks would have more.
Look :)
Emily's = 300
Frank's = 300 x 2 = 600
now...
Emily's = 300
Frank's = 600
So frank has more! NOT fewer.
Answer:
1 3/4 cups
Step-by-step explanation:
In order to be able to equally divide the stew into 5 containers we need to turn everything into the same format, in this case it would be by multiplying the whole number and the denominator and then adding the numerator like so
(8 * 4) + 3 = 
Now we can divide the numerator by 5 (container) in order to calculate how much stew each container will get.
So each container will get 7/4 of the Stew or 1 3/4 cups
Answer:
1. x = -1.5y
2. 5 (2x-3)
3. p = 4
Step-by-step explanation:
1) Simplifying
7x + 2y + -3x + 4y = 0
Reorder the terms:
7x + -3x + 2y + 4y = 0
Combine like terms: 7x + -3x = 4x
4x + 2y + 4y = 0
Combine like terms: 2y + 4y = 6y
4x + 6y = 0
Solving
4x + 6y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6y' to each side of the equation.
4x + 6y + -6y = 0 + -6y
Combine like terms: 6y + -6y = 0
4x + 0 = 0 + -6y
4x = 0 + -6y
Remove the zero:
4x = -6y
Divide each side by '4'.
x = -1.5y
Simplifying
x = -1.5y
2)
Common factor
10x - 15
5 (2x-3)
3) Simplifying
5p = 3p + 8
Reorder the terms:
5p = 8 + 3p
Solving
5p = 8 + 3p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-3p' to each side of the equation.
5p + -3p = 8 + 3p + -3p
Combine like terms: 5p + -3p = 2p
2p = 8 + 3p + -3p
Combine like terms: 3p + -3p = 0
2p = 8 + 0
2p = 8
Divide each side by '2'.
p = 4
Simplifying
p = 4
