<u>Answer</u>:
The number of hens is 100 and the number of roosters is 200.
<u>Step-by-step explanation:</u>
Let the number of hens be x and the number of roosters be y
then the total number of hens and roosters, is 300
so,
----------------------------(1)
Also the hen eats 80 pounds of food per year and roosters eats 60 pounds of food per year,
----------------(2)
To solve the equations , multilpy eq(1) by 80
------------------(3)
Subracting (2) from (3)
substituting y in eq(1) we get
The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality.
<h3>What is inequality?</h3>
A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
As per the given inequality,
y ≤ x - 3
Put x = 0
y ≤ 0 - 3
y ≤ -3
Since 4 ≤ -3 is the wrong statement thus it will not satisfy the inequality.
Hence "The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality".
For more about inequality,
brainly.com/question/20383699
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Answer:
31.4 in³
Step-by-step explanation:
The box is just big enough to hold the 3 balls, so it must have a length 6 times the radius of each ball, a width 2 times the radius, and a height 2 times the radius.
The volume of the box is:
V = (6r)(2r)(2r)
V = 24r³
The volume of the 3 balls is:
V = 3 (4/3 π r³)
V = 4πr³
So the volume of the air is:
V = 24r³ − 4πr³
V = (24 − 4π) r³
Since r = 1.4 inches:
V = (24 − 4π) (1.4 in)³
V ≈ 31.4 in³
Hey there :)
We know the volume formula of triangular prism
Volume = base x height of prism
=
We are given:
The base = 8 in
The height = 15 in
You do not need the 17 in ( it is there to trick you )
The height of the prism = 10 in
Apply the formula,
V =
= 600 in³Your final answer will be the
last option
