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percentage/750508: A person's secondary income is $1225 and is 25% of total income and the primary income is 60% of total income, what is the total income for this person? 1 solutions
Answer 456635 by jim_thompson5910(28504) on 2013-05-19 18:30:50 (Show Source):
You can put this solution on YOUR website!$1225 is 25% of total income, so
0.25x = 1225
x = 1225/0.25
x = 4900
So the total income is $4,900 (per month it sounds like it)
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Parallelograms/750492: Parallelogram ABCD has obtuse angles that are twice as big as the acute angles. What is the measurement of each acute angle? 1 solutions
Answer 456614 by jim_thompson5910(28504) on 2013-05-19 18:05:02 (Show Source):
You can put this solution on YOUR website!Let x = measure of acute angle, so 2x is the obtuse angle (since it's twice as big). Adjacent angles in a parallelogram add to 180 degrees, so we can say
x + 2x = 180 ... now solve for x
3x = 180
x = 180/3
x = 60
2x = 2*60
x = 120
So the obtuse angles are 120 degrees and the acute angles are 60 degrees
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Equations/750447: 5(y-2)-2=2(y+10)-5 1 solutions
Answer 456603 by jim_thompson5910(28504) on 2013-05-19 17:38:15 (Show Source):
You can put this solution on YOUR website! Start with the given equation.
 Distribute.
 Combine like terms on the left side.
 Combine like terms on the right side.
 Add  to both sides.
 Subtract  from both sides.
 Combine like terms on the left side.
 Combine like terms on the right side.
 Divide both sides by  to isolate  .
 Reduce.
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Answer:
So the solution is
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Linear-equations/750430: graf y=x-2 1 solutions
Answer 456599 by jim_thompson5910(28504) on 2013-05-19 17:35:55 (Show Source):
You can put this solution on YOUR website!Looking at  we can see that the equation is in slope-intercept form  where the slope is  and the y-intercept is
Since  this tells us that the y-intercept is ) .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
Also, because the slope is  , this means:
which shows us that the rise is 1 and the run is 1. This means that to go from point to point, we can go up 1 and over 1
So starting at ) , go up 1 unit
and to the right 1 unit to get to the next point
Now draw a line through these points to graph
 So this is the graph of  through the points ) and
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Average/748210: 94, 68, 72, 88, 96, 88, 89, 97 whats the median 1 solutions
Answer 455368 by jim_thompson5910(28504) on 2013-05-13 13:06:04 (Show Source):
You can put this solution on YOUR website!Original Data Set: 94, 68, 72, 88, 96, 88, 89, 97
Sorted Data Set: 68, 72, 88, 88, 89, 94, 96, 97
Start with the list of numbers shown below
68, 72, 88, 88, 89, 94, 96, 97
There are 8 values. This is an even number of values. So the median will be in between the two middle-most numbers (the median may or may not be in the list -- there are no guarantees).
More specifically, the median will be in between the elements at slot numbers 4 and 5 (divide 8 in half to get 4).
This means you can count 4 places over to get to the value of 88. The next number over is 89
The median will be the average of the two values 88 and 89. So average them to get (88 + 89)/2 = (177)/2 = 88.5
Or you can do it this way
Step 1) Start with the list of numbers shown below
68, 72, 88, 88, 89, 94, 96, 97
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Step 2) Erase the outer pair of numbers (68 on the very left and 97 on the very right) to get the new list:
72, 88, 88, 89, 94, 96
Repeat this until the list reduces to exactly two values.
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Step 3) Erase the outer pair of numbers (72 on the very left and 96 on the very right) to get the new list:
88, 88, 89, 94
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Step 4) Erase the outer pair of numbers (88 on the very left and 94 on the very right) to get the new list:
88, 89
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We're left with exactly two numbers: 88 and 89. So we are done erasing values.
Average the two values to get (88 + 89)/2 = (177)/2 = 88.5
So the median is 88.5
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