Answer:
George Bush received 286 votes and John Kerry received 251 votes.
Step-by-step explanation:
Total number of votes = 537
% of votes received by George Bush = 53.25 %
No. of votes recieved by George Bush = 
×537
= 285.95
≈ 286 votes.
The rest of the votes were for John Kerry,
=537 - 286
= 251
The answer is 18.
Work:
[i]The range is the gap between the smallest value and the largest value. [/i]
The smallest is 68.
The largest is 86.
The gap between them is 86-68=18.
Answer:
y = 4
Step-by-step explanation:
Given
3x + 7y = 37 ← substitute x = 3 into the equation
3(3) + 7y = 37, that is
9 + 7y = 37 ( subtract 9 from both sides )
7y = 28 ( divide both sides by 7 )
y = 4
Answer:
a) m = -6/5
b) m = -5/6
Step-by-step explanation:
The slopes of parallel lines are the same. The parallel line will have a slope equal to that of the line it is parallel to, -6/5.
__
The slopes of perpendicular lines are the opposite of the reciprocal of one another. The perpendicular line will have a slope that is the negative reciprocal of the slope of the one it is perpendicular to: -1/m = -1/(6/5) = -5/6.
Solve by Substitution :
// Solve equation [1] for the variable <span> y </span>
<span> </span>
[1] <span>y = </span><span>x </span>+ 12
// Plug this in for variable <span> y </span> in equation [2]
<span> [2] <span>2•</span>(<span>x </span>+12)<span> + 4x</span> = 27
</span><span> [2] <span>6x</span> = 3
</span>
// Solve equation [2] for the variable <span> x </span>
<span> [2] <span>6x = </span>3</span>
<span> [2] <span>x = </span>1/2</span>
<span>// By now we know this much :</span>
<span> <span> y = </span><span>x</span>+12</span>
<span> <span> x = </span>1/2</span>
<span>// Use the <span> x </span> value to solve for <span> y </span>
</span>
<span> <span> y = </span><span>(1/2)</span>+12 = 25/2 </span>Solution :<span> {<span>y</span>,<span>x</span>} = {<span>25/2</span>,<span>1/2</span>}</span>
<span>y=x+12;4x+2y=27 </span>Solution :<span><span> {y,x} = {25/2,1/2}</span>
</span>System of Linear Equations entered : [1] y=x+12
[2] 4x+2y=27
Equations Simplified or Rearranged :<span><span> [1] y - x = 12
</span><span> [2] 2y + 4x = 27</span></span>
