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.
Circumference = pi * diameter
diameter = 8.5; pi = 3.14
C = 3.14 * 8.5
C = 26.69 in = 26.7 in
Answer: 1,000,000,000*10
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Answer:
Part 1) Vertical line : 
Part 2) Horizontal line : 
Step-by-step explanation:
Part 1) Write the equation for the vertical line passing through the point (1,-4)
we know that
The equation of a vertical line (parallel to the y-axis) is equal to the x-coordinate of the point that passes through it
so
The x-coordinate is 1
therefore
The equation of the line is
Part 2) Write the equation for the horizontal line passing through the point (1,-4)
we know that
The equation of a horizontal line (parallel to the x-axis) is equal to the y-coordinate of the point that passes through it
so
The y-coordinate is -4
therefore
The equation of the line is
Answer:
All pencils down, turn in your tests, put them in a stack on my desk" ordered the professor to the class of 200 students.
Almost every student put their pencil down except for one student who was adding to their last answer. When the other students had handed in their tests the late student walked up to the professor's desk.
"You failed" exclaimed the teacher. "You didn't put down your pencil in time and you have failed this test."
Suddenly the late student became indignant. "Do you know who I am?! DO YOU KNOW WHO I AM?!"
"Frankly, I do not nor do I care" the professor countered.
So the late student stuck his test into the middle of the stack of papers and walked out of the room.
Step-by-step explanation:
