Hello!
Answer:
In order to convert mixed number 8 17/20 to decimal form, you follow these steps:
Convert the proper fraction to a decimal: Divide the numerator by the denominator
17 ÷ 20 = 0.85
Add this decimal number to the whole number of the mixed fraction
8 + 0.85 = 8.85
The mixed number 8 17/20 converted to decimal number is, therefore:
8.85
Hope this helps <3
Step-by-step explanation:
Proof: equidistance means at an equal distance from two points
so: Take the distance formula and then plug the values in and compare.
What we know:
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 7 liters of natural oil for every 5 liters of synthetic oil.
What we need to find:
If 355 liters of synthetic oil are used, how many liters of petrolyn oil will be made?
Set up a proportion to find how much natural oil is used.
7L natural oil/5L synthetic oil = x/355 synthetic oil where x=natural oil
7/5=x/355
(5)(x)=(7)(355) cross multiplied
5x=2485 simplified
5/5x=2485/5 multiplicative inverse
x=497L
Now, add both synthetic oil and natural oil to find amount of petrolyn oil.
355 L synthetic oil + 497 L natural oil= 852 L of petrolyn oil
We can try reduction order and look for a solution 
. Then
Substituting these into the ODE gives
which leaves us with an ODE linear in 
:
This ODE is separable; divide both sides by the coefficient of 
and separate the variables to get
Integrate both sides; on the right, substitute 
so that 
.
Now solve for 
,
then for 
,
Solve for 
by integrating both sides.
Substitute again and solve for 
:
then for ,
So the second solution would be
already accounts for the second term of the solution above, so we end up with
as the second independent solution.
