Make a system of equations:
0.10x + 0.25y = 3.95
x + y = 23
x + y = 23
Subtract 'y' to both sides:
x = -y + 23
Plug in -y + 23 for 'x' in the first equation:
0.10(-y + 23) + 0.25y = 3.95
Distribute 0.10:
-0.10y + 2.3 + 0.25y = 3.95
Subtract 2.3 to both sides:
-0.10y + 0.25y = 1.65
Combine like terms:
0.15y = 1.65
Divide 0.15 to both sides:
y = 11
Plug this into any of the two equations to find 'x':
x + y = 23
x + 11 = 23
Subtract 11 to both sides:
x = 12
So Sally has 11 dimes and 12 quarters.
Answer:
It's C because (m^8)^1/4 can simplify to (m^2)
and (n^-4)^1/4 can simplify to (n^-1), which would then become 1/n because it is a negative exponent.
Combine the two and you get: m^2/n
Step-by-step explanation:
Answer:
Plays no role in determining the feasible region of the problem.
Step-by-step explanation:
A Constraints
These are refered to as the restrictions that hinders or reduces the extent to which the/an objective can be worked on/pursued.
A redundant constraint
These are constraints that can be ignored from a system of linear constraints. It is often refered to as an Implied constraints. That is, they are implied by the constraints that surrounds (totality of) the problem.
This is a type of constraint that is not influenced or affected by the feasible region.
Its qualities includes
1. It does not hinders the optimal solution.
2. It also do not hinders the feasible region.
3. It is easily known with the use of graphical solution method
Answer:
the original population of the city is 7,505,833
Step-by-step explanation:
Given;
new of the population of the city, Y = 9,007,000
the percentage increase of the city, = 20% = 0.2
Let the original population of the city = X
New population, Y = X + 0.2X
Y = X(1 + 0.2)
Y = X(1.2)
Y = 1.2X
X = Y/1.2
X = (9,007,000) / 1.2
X = 7,505,833
Therefore the original population of the city is 7,505,833
