Initial condition:
g+d=700
g=700-d
final condition
d+20=(2g/3)(1/6)
d+20=g/9
9d+180=g, and since g=700-d we can say
9d+180=700-d
10d+180=700
10d=520
d=52, and since g=700-d
g=648
The original number of ducks was 52 and the original amount of geese was 648.
So there were originally (648-52) 596 more geese than ducks.
The side length 51 is the hypotenuse.
24*24+45*45=2601
The square root of 2601 is 51.
Please note that the hypotenuse is most likely the longest side.
9 5/8
Hope this can help :)
Answer:
C
10% = (10÷100=1÷10)=2÷20=.10
Your answer is y = -1/2 and y = 2
To solve this quadratic we first need to subtract 2 from both sides to set it equal to 0, which gives us 2y² - 3y - 2 = 0
Then we just need to factorise it:
2y² - 3y - 2 = 0
(2y + 1)(y - 2) = 0
Now we can set each bracket equal to 0 and solve for y:
2y + 1 = 0
2y = -1
y = -1/2
y - 2 = 0
y = 2
I hope this helps! Let me know if you have any questions :)
