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:
<h2>181.33</h2>
Step-by-step explanation:
Since the base of the pyramid PABCD is a rectangle, the shape in question is a rectangular based pyramid. Volume of a rectangular based pyramid is expressed as V = 1/3 * Base Area * Height of the pyramid.
Given a rectangle ABCD with AB = 8 and BC = 4, the area of the rectangle will be equivalent to the base area of the pyramid.
Base Area = Length * Breadth
Base Area = AB * BC
Base Area = 8*4 = 32
If 
, and PB = 17, then the height of the pyramid is PB = 17.
Volume of the pyramid = 1/3 * 32 * 17
Volume of the pyramid = 1/3 * 544
Volume of the rectangular based pyramid = 181.33
That is fractional, it can not be represented as a whole number, though it can be represented as an improper or mixed fraction because it is a rational number.
629/100 or 6+29/100
Answer:
$120.00
Step-by-step explanation:
2000/100 = $20 = 1%
20x12 = $240 = annual intrest = 12m
June 15 - December 15 = 6m
240/2 = $120 for half a year intrest!
Step-by-step explanation:
f'(x) is usually used in calculus to denote the first derivative of f(x) so f'(2) will simply be the first derivative of f(2).
f(x)=x+3
f'(x)=1
thus x does affect the first derivative and your answer for f'(x)=1
