Answer:
137 votes
Step-by-step explanation:
considering an election with 681 votes and 5 candidates up for the election
dividing the votes among'st 5 candidates
= 681 / 5 = 136.2 hence the least number of first-place votes needed by a candidate using the plurality method would be = 137 votes
136.2 + 136.2 + 136.2 + 136.2 + 136.2 = 681 ( dividing the votes equally )
136 + 136 + 136 + 136+136 = 680
hence the remaining vote = 681 - 680 = 1
least first-place vote = 136 + 1 = 137 votes
Answer:
line c
Step-by-step explanation:
The graph representing a direct variation equation always passes through the origin. This could be graphs (a) or (c)
given y = 
x
with slope =
Since graph (a) slopes down from left to right it's slope is negative
Hence it is not graph (a) as the slope given in the equation is positive.
Hence the required graph is (c)
If they are traveling in different directions then you add up the two mi/hr then whatever you have to multiply the sum by is the number of hours. By the way the sender is 4 hours.
First, lets set up the equation.
0.25x + (1/8)x + 24 = 60
The variable x will be equal to the total amount of the paycheck. We used 0.25 of the paycheck on the first item bought, 1/8 on the second item bought, and then 24 more dollars. After assembling the equation, we merely need to solve for x to find the value of the paycheck. I'll be converting 1/8 to 0.125 at this point for simplisity's sake.
Subtract 24 from both sides.
0.25x + 0.125x = 36
Combine like terms on the left side.
0.375x = 36
Divide both sides by 0.375.
x = 96
The total is A, 96 dollars.
3x−2y=12;−3x+8y=−6
Step: Solve3x−2y=12for x:
3x−2y=12
3x−2y+2y=12+2y(Add 2y to both sides)
3x=2y+12
3x
3
=
2y+12
3
(Divide both sides by 3)
x=
2
3
y+4
Step: Substitute
2
3
y+4forxin−3x+8y=−6:
−3x+8y=−6
−3(
2
3
y+4)+8y=−6
6y−12=−6(Simplify both sides of the equation)
6y−12+12=−6+12(Add 12 to both sides)
6y=6
6y
6
=
6
6
(Divide both sides by 6)
y=1
Step: Substitute1foryinx=
2
3
y+4:
x=
2
3
y+4
x=
2
3
(1)+4
x=
14
3
(Simplify both sides of the equation)
Answer:
x=
14
3
and y=1
