Chickens have 1 head and 2 legs
rabbits had 1 head and 4 legs
total heads is 30
c+r=30
total legs is 98
2c+4r=98
divide by 2
c+2r=49
multiply top equation by -1 and add to 2nd equation
-c-r=-30
<u>c+2r=49 +</u>
0c+1r=19
r=19
sub back
c+r=30
c+19=30
minus 19
c=11
11 chickens
19 rabbits
Answer:
x = 2/3 or x = -1
Step-by-step explanation by completing the square:
Solve for x:
3 x^2 + x - 2 = 0
Divide both sides by 3:
x^2 + x/3 - 2/3 = 0
Add 2/3 to both sides:
x^2 + x/3 = 2/3
Add 1/36 to both sides:
x^2 + x/3 + 1/36 = 25/36
Write the left hand side as a square:
(x + 1/6)^2 = 25/36
Take the square root of both sides:
x + 1/6 = 5/6 or x + 1/6 = -5/6
Subtract 1/6 from both sides:
x = 2/3 or x + 1/6 = -5/6
Subtract 1/6 from both sides:
Answer: x = 2/3 or x = -1
Answer:
Step-by-step explanation:
Given a ΔLMN.
Line LN is extended to point O.
such that:
and
To find:
Solution:
Kindly refer to the attached image for the given triangle and dimensions of angles.
Let us recall the external angle property of a triangle:
The external angle of a triangle is equal to the sum of two opposite internal angles.
i.e.
Putting the value of in .
Answer:
5000
Step-by-step explanation:
2% of 250,000 is 5000