162 cow-days
Since the initial grass and the grass accumulated over 4 days is equal to 144 cow-days, the initial grass is equal to (144 − 36) or 108 cow-days. Now, to find the answer to the question: in 18 days, the grass accumulation is equal to 18 ∗ 9 or 162 cow-days.
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Answer:
The system of equations representing the situation are


with solutions


Step-by-step explanation:
Let us call
the number of associates and
the number of partners. If each associate costs $600 and each partner costs $1200, and it cost the law firm a total of $15,000, then we have
.
Since the law firm assigned at total of 16 lawyers, we have
.
Thus, the system of equations representing the situation are


And the solution to this system is found by solving for
in the second equation and substituting its value in the first equation:






We put this value into
and solve for 


From corresponding angles theorem, we can see the 2 angles are equal.
16x+13=18x-1
2x=14
x=7
Done!
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Answer:
x = 98 mm
Step-by-step explanation:
The angle bisector YT divides the triangle into proportional segments:
VY/VT = KY/KT
Filling in the numbers and multiplying by VT, we have ...
VY/57 = 68/129.2
VY = 57·68/129.2 = 30
Then we can find x from ...
x = VY + YK = 30 +68 = 98 . . . mm
The value of x is 98 mm.