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
Step-by-step explanation:

* <em>L is the Length</em><em /> <em>and A is the Area
</em><em />
L * L = A
L * L = 1600
L^2 = 1600
√L^2 = √1600
L = 40 feet
Answer: The length of each side is 40 feet.
Btw: <em />this was your question "<em>A square garden has an area of 1600 feet length of each side"</em>
When it should be . . .
<em>"A square garden has an area of 1600 feet squared length of each side"</em>
Answer: 8 days
Step-by-step explanation:
K=14+8x
J=35+5x
when K=J they will have the same amount
14+8x=35+5x
8x=21+5x
3x=21
x=7 days until they have the same amount- 8 days until she has more
Answer:
a 166 67/100
b 20 1/4
c 829 77/100
d 664 47/50
e 208 4/25
Step-by-step explanation:
you need to find the common denominator (the number on the bottom) so for the first one when can 10 = 100 if you multiply 10 x 10 you get 100 so multiply the entire fraction by 10 and you will get 10/100 so the equation would be 381 10/100 - 214 43/100 which equals 166 67/100 then just do the same thing for the rest of them