Equilibrium is point where supply = demand
Solve with substitution.
From supply equation ---> q = 2p - 63
Sub into demand equation ---> (p+30)(2p-63+25) = 2584
Solve for p:
2p^2 +22p - 1140 = 2584
p^2 + 11p -1862 = 0
(p+49)(p-38) = 0
p = 38
Sub back into supply equation to find q
q = 2(38) - 63
q = 13
Answer: Equilibrium is 13 units sold at price of $38.
First case:
average of test score =70
number of students =p
total score of 'p' students = ( average of test score)*( number of students)
total score of 'p' students =70p
Second case:
average of test score =92
number of students =n
total score of 'n' students = ( average of test score)*( number of students)
total score of 'n' students =92n
total number of students = p+n
total average score =86
so, total score =86(p+n)
total score = total score of 'p' students +total score of 'n' students

now, we can simplify it



now, we can find p/n

................Answer
Answer:
The team won 32 games.
Step-by-step explanation:
x = games won
y = games lost
z = total games = 40
x = 4y <em>Won 4 times as many games as it lost</em>
x + y = 40 <em>Games won + games lost = Total games played</em>
4y + y = 40 <em>Sub 4y in for x, as established previously</em>
5y = 40
y = 8
x = 4y
x = 4(8)
x = 32
The team won 32 games.
for a triangular prism, its volume will simply be <u>area of its base</u> times its length.
the are of the base for this one is simply any of those triangular bases. Now, let's notice, the right-triangle has a base of 9 and a height o 9, notice the tickmarks, whilst the prism also has a length of 13.

Answer:
x = 15
Step-by-step explanation:
create a proportion: <u> x + 10 </u> = <u> x + x + 10 </u>
5 8
cross-multiply: 8(x + 10) = 5(2x + 10)
8x + 80 = 10x + 50
80 = 2x + 50
30 = 2x
15 = x