Answer:
5 pigs
Step-by-step explanation:
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
Let us represent:
Number of pigs = x
Number of ducks = y
Our system of equations is given as:
A farmhouse shelters 16 animals, some are pigs, and some are ducks.
x + y = 16...... Equation 1
x = 16 - y
Altogether there are 42 legs.
Ducks have 2 legs(feet) , pigs have 4 legs,
4x + 2y = 42..... Equation 2
We substitute
16 - y for x in Equation 2
Hence:
4(16 - y) + 2y = 42
64 - 4y + 2y = 42
Collect like terms
- 4y + 2y = 42 - 64
-2y =- 22
y = -22/-2
y = 11 ducks
Solving for x.
x = 16 - y
x = 16 - 11
x = 5 pigs
Therefore, we have 5 pigs
11). X1= 1/4 and X2=7
12). X1=-4/3 and X2= 7/3
Answer:
8.75 feet
Step-by-step explanation:
Use the area formula, A = lw, where l is the length and w is the width
Plug in the area and length, and solve for w:
A = lw
140 = 16w
8.75 = w
So, the width is 8.75 feet
Yes it is a arithmetic sequence
The division is: 2x³+2x+4
<h3>What is synthetic division?</h3>
Synthetic division is a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than long division.
Given:
(2 + 4x³ + 2x² + 8x + 8) ÷ (x + 2)
The division is attached below.
Hence, the division is 2x³+2x+4.
Learn more about this concept here:
brainly.com/question/3696665
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