Answer:
n = 18 6/25
Step-by-step explanation:
Multiply both sides by 12.
12(38/25) = 12(n/12)
456/25 = n = 18 6/25 = 18.24
Consecutive odd integers are 2 apart
they are x and x+2
the product (x times (x+2)) is 1 less than 4 times their sum
x(x+2)=-1+4(x+x+2)


![x^2+2x=8x+7 minus (8x+7) from both sides [tex]x^2-6x-7=0](https://tex.z-dn.net/?f=x%5E2%2B2x%3D8x%2B7%20minus%20%288x%2B7%29%20from%20both%20sides%20%5Btex%5Dx%5E2-6x-7%3D0)
factor
what numbers multliply to get -7 and add to get -6?
-7 and 1
(x-7)(x+1)=0
set equal to 0
x-7=0
x=7
x+1=0
x=-1
so the x can be 7 or -1
the other number (x+2) can be 7 or 1
test each
7 and 9
7(9)=-1+4(7+9)
63=-1+4(16)
63=-1+64
63=63
true
-1 and 1
-1(1)=-1+4(-1+1)
-1=-1+4(0)
-1=-1+0
-1=-1
true
the 2 integers can be 7 and 9 or -1 and 1 (both pairs of numbers work)
The two equations are

and

the first equation can be solved for x to be

next you can substitute x in the second equation

Distribute 4 to everything in the parentheses

combine like terms:

subtract 28 from both sides of the equation

divide both sides by -1.5

plug this in to the original equation of x+y=7

subtract 4 from both sides.

Final Answer: they bought 3 adult tickets and 4 student tickets
Hope this helps!
Answer:
yes
Step-by-step explanation:
3+-33=30
22x- - -2x=24x
so yes
Answer: (a) 19448 ways
(b) 5292 ways
(c) 0.2721
Step-by-step explanation:
(a) 10 county council members be randomly elected out of the 17 candidates in the following ways:
= 
= 
= 
= 19448 ways
(b) 10 county council members be randomly elected from 17 candidates if 5 must be women and 5 must be men in the following ways:
we know that there are 7 women and 10 men in total, so
=
× 
=
× 
= 21 × 252
= 5292 ways
(c) Now, the probability that 5 are women and 5 are men are selected:
= 
= 
= 0.2721