Answer:
last payment is 45% and is $225
Step-by-step explanation:
To solve this problem, let us first assign some
variables. Let us say that:
x = pigs
y = chickens
z = ducks
From the problem statement, we can formulate the
following equations:
1. y + z = 30 --->
only chicken and ducks have feathers
2. 4 x + 2 y + 2 z = 120 --->
pig has 4 feet, while chicken and duck has 2 each
3. 2 x + 2 y + 2 z = 90 --->
each animal has 2 eyes only
Rewriting equation 1 in terms of y:
y = 30 – z
Plugging this in equation 2:
4 x + 2 (30 – z) + 2 z = 120
4 x + 60 – 2z + 2z = 120
4 x = 120 – 60
4 x = 60
x = 15
From the given choices, only one choice has 15 pigs. Therefore
the answers are:
She has 15 pigs, 12 chickens, and 18 ducks.
Answer:
p(2/5)=-4
Step-by-step explanation:
Plug in 2/5 for x
p(2/5)=5(2/5)-6
Combine like terms
p(2/5)=2-6
p(2/5)=-4
Answer:
-4, -2, -1, 1
Step-by-step explanation:
If the domain is given we use the equation to determine the range but usually the range would be everything in this equation.
Answer:
The minimum number of bicycles that must be produced and sold to break even = 20
Explanation:
The profit generated by producing and selling n bicycles per week is given by the formula:
To get the minimum number of bicycles that must be produced and sold to break even, let P(n) = 0 (Since break even means no profit is made)
Solve the resulting quadratic equation above
This means that, to break even, either 60 or 20 bicycles must be produced and sold
The minimum number of bicycles that must be produced and sold to break even = 20
