Let x be the common factor between chickens and ducks. Then:
6x/(5x-63)=3/1
15x-189=6x
9x=189
x=21
6x=123 chickens were on the farm
☺☺☺☺
Answer:
1200
Step-by-step explanation:
We can gather from what's given that y=20xy represents the total number of bottles produced in the given time in seconds, which is x. When x=1, y=20, This means that each second the machine can make 20 soda bottles. Each minute is 60 seconds, so when x=60, y=20*60 =1200 soda bottles.
Since there are 5 possible outcomes and 3 is only one of the outcomes, the probability would be 1/5 or 20%
We have to determine if the functions are linear or not.
We can do this by rearranging the equations in this form:

where m and b are constants.
<em>NOTE: There are many ways to prove that a function is linear, but this is the easiest for this question. </em>
36.

As this function can not be written in the form y=mx+b, then it is not linear.
37.

This function is now in the form y=mx+b, where m=3/4 and b=-15. Then, this function is a linear function.
Answer:
36. Non-linear.
37. Linear.
Answer:
Dried split peas 9 c
Water 8 qt
Chopped onion 3 c
Chopped celery 4 c
Ham shank 8 lb
Step-by-step explanation:
The recipe is given for 8 people.
To find each ingredient to serve for 32 people, we need to multiply each quantity by 4.
Hence, the required amount of each ingredient is given below:
Dried split peas = 
Water = 4 × 2 = 8 qt
Chopped onion = 
Chopped celery = 4(1) = 4 c
Ham shank = 4 × 2 = 8 lb