The goal here is to find the cost of the painting BEFORE the 60% increase.
To find the cost of the painting, we must take in the information we already have:
Increase percent: 60%
Original price: unknown
Price after increase: $400
$400 is the price of the painting AFTER the increase has been added. So this equals the cost of the painting before the increase, plus the total amount of the increase (which is 60% of the original price).
The total must be (100% + 60% = 160%) 160% of the original painting price.
To find the original price, we must divide the increased price by the new percentage (160%). But how do we get here?
Well, we have 160% and our (fraction) $400/1%. We will have to switch the 160% and the 1%, giving us..
1% $400/160%
We take 400/160, which is 2.5. But this is only 1% of the original price! We want 100%.
So now, we multiply the 2.5 by 100 to get our answer: $250.
I hope this helps! If you have any questions, feel free to ask.
Answer:
y = 10 PLEASE GIVE BRAINLIEST
Step-by-step explanation:
The angles of this triangle should all add up to 180 degrees.
There are 3 angles so 180 ÷ 3 = 60. Each angle will = 60 degrees.
To find y:
5y + 10 = 60
5y = 60 - 10
5y = 50
y = 50 ÷ 5
y = 10
Answer:

so at the long run we can conclude that the best option is :
A) win 0.20 cents per play
Step-by-step explanation:
Previous concepts
The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.
The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).
Solution to the problem
Let X the random variable who represent the ampunt of money win/loss at the game defined.
The probability of loss $3.00 for this game is 0.2 and the probability of win is 1-0.2=0.8 and you will recieve $1.00 if you win. The expected value is given by:

And for this case if we replace we got:

so at the long run we can conclude that the best option is :
A) win 0.20 cents per play
Answer:
The final pressure of the gas when its temperature returns to its initial value
Pa.
Step-by-step explanation:
Given : An ideal gas is confined within a closed cylinder at a pressure of
Pa by a piston. The piston moves until the volume of the gas is reduced to one-ninth of the initial volume.
To find : What is the final pressure of the gas when its temperature returns to its initial value?
Solution :
Since the temperature is constant
.
The relation between P and V is given by,

....(1)
The piston moves until the volume of the gas is reduced to one-ninth of the initial volume i.e. 
or 

Substitute in equation (1),
The final pressure of the gas when its temperature returns to its initial value
Pa.