In the last election, candidate a recieved twice as many votes as candidate b. candidate c recieved 15,000 fewer votes than candidate b. if a total of 109,000 votes were cast, how many votes did candidate a recieve

A=62,000 votes

Step-by-step explanation:

Candidate A=2B

Candidate C=B –15,000

Total Votes =

A + B +C = 109,000

(2B)+B+(B–15,000)=109,000

3B+B–15,000=109,000

4B=109,000+15,000=124,000

B=124,000÷4=31,000

Therefore,

A=2B

A=2(31,000)

A=62,000

C=B–15,000

C=31,000–15,000

C=16,000

You can add them back to confirm

ie. (62,000 + 31,000 + 16,000 = 109,000 votes total)

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

bull

step-by-step explanation: