Answer:
The number of ducks were sold be 48
Step-by-step explanation:
Let the number of chicken be 3x and the number of ducks on a farm be 8x.
From the given conditions, it is states that there were 40 more ducks than chicken, i.e
8x+40=3x
or
or 5x=40
Simplify:
Then, the number of chicken be
and the number of ducks be, .
Since it is given that half the chicken and some of the ducks were sold ; then the ratio of the number of chicken to the number of ducks became 3:4
Let the number of ducks that were sold be y.
now by above condition, we have
then,
Simplify:
or
or
On simplify we get,
y=48.
Therefore, the number of ducks were sold be, 48.
x + y = 16, and x - y = 12. Get x by itself. Subtract y from both sides in the 1st equation to get x = 16 - y. Add y to both sides in the 2nd equation to get x = 12 + y. Put the parts together. 16-y=12+y. Add y to both sides to get 16 = 12 + 2y. Subtract 12 to get 4 = 2y. Divide both sides by 2 to get y = 2. Replace it with the 1st equation to get X + 2 = 16. Subtract 2 from both sides to get X = 14.
-4.2100761e+12 your welcome
Answer:
Below.
Step-by-step explanation:
Using Pythagoras theorem:
(√69)^2 = (√47)^2 + BC^2
BC^2 = 69-47 = 22
BC = √22.
sin D = BC / CD
= √22/√69
= 0.5647 to nearest ten thousandth.