Given that the raffle prize is to be divided equally, the amount of money each person will receive will be equal to the total raffle prize (14x^(2)/15) divided by the number of people (7x). Thus, we get:
(14x^(2)/15) / 7x
= (14x^(2)/15) * (1/7x)
= 14x^(2)/15*7x
= 14x^(2)/105x
= 2x/15 (Divide both the numerator and denominator by 7x)
Therefor, each person would receive 2x/15 dollars.
If you know how to cancel when dealing with fractions, you can get to this step much easier, however this way also works. The idea with cancelling would be that when you had (14x^(2)/15) / 7x, you would recognise that 14x^2 may be divided by 7x straight away to get 2x. Then you would have 2x/15 as your answer.
Answer:
The number of Win Games = 92
The number of Loss Games = 70
Step-by-step explanation:
Given in question as :
The total number of games Played = 162
Let the number of Win games = x
And The number of losses games = y
SO , x + y = 162 ........... 1
According to question
x = 2 y - 48 .............2
Fromm eq 1 and 2
(2y - 48 ) +y = 162
3y -48 = 162
or,3y = 210
SO, Y = 70
Similarly x = 2 (70 ) - 48
I.e x = 140 - 48 = 92
Hence The number of Win Games = 92
And The number of Loss Games =70 Answer
Distributive property
-8*4=-32 -8*9x=-72x
-32-72x=7(-2-11x)
7(-2)=-14 7(-11x)=-77x
-32-72x=-14-77x
Combine Like Terms
-32+14=-18 -77x+72x=-5x
-18=-5x
Divide both sides by -5 and theres your answer
Another way to express it would be -12x+28
Vertex form is:
f(x) = -5(x+10)^2 + 508