Using a system of equations, it is found that:
- There are 8 chickens in the yard.
- There are 16 pigs in the yard.
-----------------------------------------
This question is solved using a system of equations. I am going to say that:
- x is the number of chickens.
-----------------------------------------
- A chicken has 1 head, as do a pig.
- There are 24 heads.
Thus:
![x + y = 24 \rightarrow y = 24 - x](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%2024%20%5Crightarrow%20y%20%3D%2024%20-%20x)
-----------------------------------------
- A chicken has 2 feet.
- A pig has 4 feet.
- In total, there are 80 feet.
Thus:
![2x + 4y = 80](https://tex.z-dn.net/?f=2x%20%2B%204y%20%3D%2080)
-----------------------------------------
Number of chicken:
Since ![y = 24 - x](https://tex.z-dn.net/?f=y%20%3D%2024%20-%20x)
![2x + 4y = 80](https://tex.z-dn.net/?f=2x%20%2B%204y%20%3D%2080)
![2x + 4(24 - x) = 80](https://tex.z-dn.net/?f=2x%20%2B%204%2824%20-%20x%29%20%3D%2080)
![2x + 96 - 4x = 80](https://tex.z-dn.net/?f=2x%20%2B%2096%20-%204x%20%3D%2080)
![2x = 16](https://tex.z-dn.net/?f=2x%20%3D%2016)
![x = \frac{16}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B16%7D%7B2%7D)
![x = 8](https://tex.z-dn.net/?f=x%20%3D%208)
There are 8 chickens in the yard.
-----------------------------------------
Number of pigs:
![y = 24 - x = 24 - 8 = 16](https://tex.z-dn.net/?f=y%20%3D%2024%20-%20x%20%3D%2024%20-%208%20%3D%2016)
There are 16 pigs in the yard.
A similar problem is given at brainly.com/question/24104709
4-1.175=2.825
There was 2.825 liters left in the tank.
Hope this helps.
(4x+3) (2x-1)=0
X= -3/4, 1/2
Answer:
x=20
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
log4x = 2.1
logx/log4 = 2.1
logx = log(4) x 2.1
logx = 1.264
x = 10^(1.264)
x = 18.38 (to two d.p)