Answer:
27 Chickens
Step-by-step explanation:
<em>Represent the chicken with A and the cows with B</em>
Given
![A + B = 30](https://tex.z-dn.net/?f=A%20%2B%20B%20%3D%2030)
A has 2 legs and B has 4; So:
![2A + 4B = 66](https://tex.z-dn.net/?f=2A%20%2B%204B%20%3D%2066)
Required
Determine A and B
Make B the subject of formula in the first equation
![B = 30 - A](https://tex.z-dn.net/?f=B%20%3D%2030%20-%20A)
Substitute 30 - A for B in the second equation
![2A + 4(30 - A) = 66](https://tex.z-dn.net/?f=2A%20%2B%204%2830%20-%20A%29%20%3D%2066)
Open the bracket
![2A + 120 - 4A = 66](https://tex.z-dn.net/?f=2A%20%2B%20120%20-%204A%20%3D%2066)
Collect Like Terms
![2A - 4A = 66 - 120](https://tex.z-dn.net/?f=2A%20-%204A%20%3D%2066%20-%20120)
![-2A= -54](https://tex.z-dn.net/?f=-2A%3D%20-54)
Divide through by -2
![A = 27](https://tex.z-dn.net/?f=A%20%3D%2027)
<em>Hence, the farmer has 27 chickens</em>
Answer:
59
Step-by-step explanation:
Round 59.3506494 to the first 2 sig figs which is 59 since the number next to the decimal isnt over or 5, so it stays as 59 instead of 60.
X^2 + 9x^2
----------- = 16
(x + 3)^2
multiply each term by (x + 3)^2:-
x^2(x + 3)^2 + 9x^2 = 16(x + 3)^2
x^2( x^2 + 6x + 9) + 9x^2 = 16x^2 + 96x + 144
x^4 + 6x^3 + 18x^2 = 16x^2 + 96x + 144
x^4 + 6x^3 + 2x^2 - 96x - 144 = 0
This is difficult to solve algebraically so I drew a graph There are 2 real roots
x = -1.65 and x = 3.65 to nearest hundredth
4x + 2y = 24
2y = -4x + 24
y = (-4/2)x + 24/2
y = -2x + 12 <===
Answer:
5
Step-by-step explanation:
0+3+6+7+9=25
25/5=5