Answer:
A
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.
<u>Shape #1: A square.</u>
Every side is 4 units long.
The perimeter is 16 units.
The area is <em>16 </em>square units.
<u>Shape #2: A rectangle.</u>
The length is 7.9 units.
The width is 0.1 unit.
The perimeter is 16 units.
The area is <em>0.79</em> of a square unit.
<u>Shape #3: A circle.</u>
The diameter is (16/π) units. (about 5.093 units)
The perimeter (circumference) is 16 units.
The area is (64/π) square units. (about <em>20.37</em> square units)
Answer:
8/15
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Y+4= -4(x-3)
y+4=-4x+12
4x+y=8