Answer:
8/9 of a cup
Step-by-step explanation:
8 cups of icecream to be divided among 9 people, so they can't have full cups.
Each person will get 8/9 of a cup
Answer:
14 gallons
Step-by-step explanation:
If 11 2/3 gallons represents 5/6 full bucket then we can equate that
x=1 full

Therefore, the bucket requires 14 gallons
Answer: x + 27 = 17
Step-by-step explanation:
4(x+3) = 4x + 12
3(5-x) = 15 - 3x
4x-3x+12+15
x+27
Simplifying
5x(4y + 3x) = 5x(3x + 4y)
Reorder the terms:
5x(3x + 4y) = 5x(3x + 4y)
(3x * 5x + 4y * 5x) = 5x(3x + 4y)
Reorder the terms:
(20xy + 15x2) = 5x(3x + 4y)
(20xy + 15x2) = 5x(3x + 4y)
20xy + 15x2 = (3x * 5x + 4y * 5x)
Reorder the terms:
20xy + 15x2 = (20xy + 15x2)
20xy + 15x2 = (20xy + 15x2)
Add '-20xy' to each side of the equation.
20xy + -20xy + 15x2 = 20xy + -20xy + 15x2
Combine like terms: 20xy + -20xy = 0
0 + 15x2 = 20xy + -20xy + 15x2
15x2 = 20xy + -20xy + 15x2
Combine like terms: 20xy + -20xy = 0
15x2 = 0 + 15x2
15x2 = 15x2
Add '-15x2' to each side of the equation.
15x2 + -15x2 = 15x2 + -15x2
Combine like terms: 15x2 + -15x2 = 0
0 = 15x2 + -15x2
Combine like terms: 15x2 + -15x2 = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
Answer:
(-2, -3)
Step-by-step explanation:
x coord. from -6 to 4 is 10 units / 5 parts = 2
point B is 2 units * 2 from point A, so x = -2
y coord. from -5 to 0 is 5 units / 5 parts = 1
point B is 2 units * 1 from point A, so y = -3