Put in terms of a
b=2a
a=a
c=a-15000
2a+a+a-15000=109000
2a+a+a=124000
4a=124000
a=31000
Candidate B received 62000 votes
Answer:
r = -6
Step-by-step explanation:
6r + 7 = 13 + 7r
-6r both sides
7 = 13 + r
-7 both sides
r + 6 = 0
-6 both sides
r = -6
Answer:
x = 0 and x = 3
Step-by-step explanation:
I will assume that you mean:
4 8
---- + --------- = 4
x x + 2
Here the LCD is x(x + 2).
Multiplying all 3 terms by x(x + 2), we get:
4(x + 2) + 8x = 4(x)(x + 2), or
4x + 8 + 8x = 4x^2 + 8x
Cancelling the 8x terms, we have:
12x = 4x^2, or 3x = x^2, or x^2 - 3x = 0.
Factoring, we get x(x - 3) = 0, which results in x = 0 and x = 3.
This is an arithmetic series, so we know, that:
Sum = (First term + Last term) * Number of terms /2
Here we have:
First term = 33
Last term = 104
Number of terms = 104 - 33 + 1 = 72
and