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:
Blue cards
Step-by-step explanation:
Because that is the highest amount so it is most likely youll get that one.
Answer:
<h2>
118.13 m³</h2>
Step-by-step explanation:
Given,
Length ( l ) = 5 meters
Width ( w ) =
meters
Height ( h ) =
meters
Now, Let's find the volume of rectangular prism :

plug the values

Calculate the product



Hope this helps..
Best regards!!
Given:
and
.
To find:
The quadrant.
Solution:
We know that,
In I quadrant, all trigonometric ratios are positive.
In II quadrant, only
are positive and others are negative.
In III quadrant, only
are positive and others are negative.
In IV quadrant, only
are positive and others are negative.
We have,
and
.
Here,
is positive and
is negative. So,
lies in the III quadrant.
Therefore, the correct option is C, i.e., III.