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Rectangles/340062: if the area of a rectangle is 4 feet squared and the length is 5 feet, what is the width?
1 solutions

Answer 243948 by Fombitz(13828) About Me  on 2010-09-08 14:30:01 (Show Source):
You can put this solution on YOUR website!
For a rectangle,
A=L%2AW=4
.
.
.
L=5
Substitute,
5W=4
highlight%28W=4%2F5%29 foot


Money_Word_Problems/340424: The average of the salaries of Kelly, Renee and Nina is 20,000 a year. If Kelly earns 4000 less than Renee and Nina's salary is two-thirds of Renee's salary, find the salary of each person.
I've tried setting up as follows;
Let R = Renee
Let R - 4000 = Kelly
Let 2/3 * R = Nina
R + ( R - 4000 ) + 2/3 * R = 20,000
It's not working out for me though. Anyone have any thoughts?
1 solutions

Answer 243946 by Fombitz(13828) About Me  on 2010-09-08 14:28:52 (Show Source):
You can put this solution on YOUR website!
You're on the right track.
However there is one mistake.
The average is,
%28R+%2B+%28+R+-+4000+%29+%2B+%282%2F3%29R%29%2F3+=+20000
.
.
.
R+%2B+%28+R+-+4000+%29+%2B+%282%2F3%29R+=+60000
Multiply both sides by 3.


Functions/339989: composition of functions
Given: f(x)= 2/x
(fof)(x)
so far i have
(fof)(x)=f(f(2/x))=f(2/x)=2/2/x
however i need to slipify this farther and do not know how.
1 solutions

Answer 243944 by Fombitz(13828) About Me  on 2010-09-08 14:26:10 (Show Source):
You can put this solution on YOUR website!
Dividing by a fraction is the same as multiplying by its reciprocal.
2%2F%282%2Fx%29=2%2A%28x%2F2%29=x
fof%28x%29=x


Rational-functions/340191: please explain this equation in slope intercept form for the line that cintains the given point and is perpendicular to the given point(4,-3),-4x+y=-7


1 solutions

Answer 243943 by Fombitz(13828) About Me  on 2010-09-08 14:24:58 (Show Source):
You can put this solution on YOUR website!
-4x%2By=-7
Convert the equation to slope-intercept form,y=mx%2Bb where m is the slope.
y=4x-7
m=4
Perpendicular lines have slopes that are negative reciprocals.
m1%2Am2=-1
4%2Am2=-1
m2=-1%2F4
The second line has the form, y=-%281%2F4%29x%2Bb
Use the point (4,-3) to solve for b.
-3=-%281%2F4%29%284%29%2Bb
b=-2
.
.
.
highlight%28y=-%281%2F4%29x-2%29
.
.
.



Angles/339991: Fine the measure of angle T if the measure of angle T is 20 more than 4 times it's supplement
1 solutions

Answer 243941 by Fombitz(13828) About Me  on 2010-09-08 14:20:44 (Show Source):
You can put this solution on YOUR website!
1.T%2BS=180
2.T=20%2B4S
Substitute eq. 2 into eq. 1,
20%2B4S%2BS=180
5S=160
S=32
T=20%2B4%2832%29
T=20%2B128
highlight%28T=148%29


Age_Word_Problems/340422: Brad is presently 6 years older than Pedro. Five years ago Pedro's age was three-fourths of Brad's age at that time. Find the present ages of Brad and Pedro.
I've tried setting up the problem like this -
Let x = Pedro
Let ( x + 6 ) = Brad
x - 5 = 3/4 (x+6) - 5
Obviously I'm doing something wrong though. Can anyone help?
1 solutions

Answer 243937 by Fombitz(13828) About Me  on 2010-09-08 14:12:29 (Show Source):
You can put this solution on YOUR website!

Five years ago, Pedro was x-5, but Brad was %28x%2B6%29-5+or+%28x%2B1%29.
Then take 3%2F4 of his age.


Numeric_Fractions/340346: What is: 4 2/3 - 7/15 + 3 4/5?
1 solutions

Answer 243936 by Fombitz(13828) About Me  on 2010-09-08 14:05:23 (Show Source):
You can put this solution on YOUR website!
Convert the mixed numbers to fractions.
Then find a common denominator.
4%2B+2%2F3=12%2F3%2B2%2F3=14%2F3
3+%2B4%2F5=15%2F5%2B4%2F5=19%2F5
.
.
.
4%2B2%2F3+-+7%2F15+%2B+3+%2B4%2F5=14%2F3-7%2F15%2B19%2F5
Common denominator:3%2A5=15

4%2B2%2F3+-+7%2F15+%2B+3+%2B4%2F5=70%2F15-7%2F15%2B57%2F15
4%2B2%2F3+-+7%2F15+%2B+3+%2B4%2F5=%2870-7%2B57%29%2F15
4%2B2%2F3+-+7%2F15+%2B+3+%2B4%2F5=%28120%29%2F15
4%2B2%2F3+-+7%2F15+%2B+3+%2B4%2F5=highlight%288%29


Mixture_Word_Problems/340234: How many gallons of 80% antifreeze solution must be mixed with 90 gallons of 25% antifreeze to get a mixture that is 70% antifreeze?
1 solutions

Answer 243934 by Fombitz(13828) About Me  on 2010-09-08 14:00:56 (Show Source):
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Let A be the amount of 80% solution.
80A%2B25%2890%29=70%28A%2B90%29
80A%2B2250=70A%2B6300
10A=4050
A=405gallons


Average/340418: Is 3xy + 2y + 15z - 20 = 0 a linear equation? If not, why not?
1 solutions

Answer 243933 by Fombitz(13828) About Me  on 2010-09-08 13:59:23 (Show Source):
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No, because of the product term 3xy.
All of the other are linear terms.


Quadratic_Equations/340182: Please help me find the x and y intercept for a circle,and if you can the center point and radius:
x%5E2%2By%5E2%2B4x%2B2y-20=0
1 solutions

Answer 243932 by Fombitz(13828) About Me  on 2010-09-08 13:58:41 (Show Source):
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Complete the square in x and y.
x%5E2%2By%5E2%2B4x%2B2y-20=0
x%5E2%2B4x%2By%5E2%2B2y-20=0
x%5E2%2B4x%2B4%2By%5E2%2B2y%2B1-20=4%2B1
%28x%2B2%29%5E2%2B%28y%2B1%29%5E2=25
Compare to the equation of a circle centered at (h,k) with radius R.
%28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2


Travel_Word_Problems/340417: Eric is piloting a hot air balloon and drifted 12 miles north,,9 miles west,22 miles south, 3 miles east, and 5 miles south.How many miles does Eric need to turn N,E,S,W to return back to his landing site?
1 solutions

Answer 243930 by Fombitz(13828) About Me  on 2010-09-08 13:53:08 (Show Source):
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Let North be positive y, South negative y.
Let East be positive x, West negative x.
Eric starts at (0,0).
12 miles N: (0,0)+(0,12)=(0,12)
9 miles W:(0,12)+(-9,0)=(-9,12)
22 miles S:(-9,12)+(0,-22)=(-9,-10)
3 miles E:(-9,-10)+(3,0)=(-6,-10)
5 miles S:(-6,-10)+(0,-5)=(-6,-15)
In otder to return to his starting point,
(-6,-15)+(X,Y)=(0,0)
.
.
.
X=6 miles East
Y=15 miles North


Quadratic_Equations/340334: Hi,
What is 4/(m^2-7) = 1 ?
Thanks.
1 solutions

Answer 243929 by Fombitz(13828) About Me  on 2010-09-08 13:49:23 (Show Source):
You can put this solution on YOUR website!
It's an equation.
.
.
.
Are you looking for a solution?
4%2F%28m%5E2-27%29=1
4=m%5E2-27
m%5E2=31
Take the square root of both sides to get your answer.


Numeric_Fractions/340333: What is: 3/5x = 48?
1 solutions

Answer 243928 by Fombitz(13828) About Me  on 2010-09-08 13:48:08 (Show Source):
You can put this solution on YOUR website!
+%283%2F5%29x+=+48
Multiply both sides by 5.
3x=240
Now divide both sides by 3.


Distributive-associative-commutative-properties/340330: How do you factor c^2-6c(a-c)+9(a-c)^2? I keep coming up with (3a-4c)^2 but the answer book says I am wrong.
1 solutions

Answer 243924 by Fombitz(13828) About Me  on 2010-09-08 13:43:46 (Show Source):
You can put this solution on YOUR website!
c%5E2-6c%28a-c%29%2B9%28a%5E2-2ac%2Bc%5E2%29=c%5E2-6ca%2B6c%5E2%2B9a%5E2-18ac%2B9c%5E2
c%5E2-6c%28a-c%29%2B9%28a%5E2-2ac%2Bc%5E2%29=16c%5E2-24ca%2B9a%5E2
c%5E2-6c%28a-c%29%2B9%28a%5E2-2ac%2Bc%5E2%29=%284c-3a%29%5E2
I get the same answer.
Something's up with your book.


Graphs/340408: I cannot differentiate between different forms of interval writing. What is interval writing and how do I know which brackets to use or what number goes where when I write out an answer? For example, 0 < 5-2x.
1 solutions

Answer 243921 by Fombitz(13828) About Me  on 2010-09-08 13:36:06 (Show Source):
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When the inequality does not include an "=" sign, then the solution will not contain the interval endpoint, so then you would use a set of parentheses.
.
.
.
Example: 5-2x%3E0
-2x%3E-5
x%3C5%2F2
So the interval includes all numbers less than 5%2F2 but not 5%2F2.
In interval notation that would be,
(-infinity,5%2F2)
.
.
.
When the inequality does contain an "=" sign, then the solution would include the interval endpoint, so then you would use a bracket.
.
.
.
Example:5-2x+%3E=+0
-2x+%3E=+-5
x+%3C=+5%2F2
In interval notation,
(-infinity,5%2F2]
.
.
.
And finally for a compound inequality,
Example:0+%3C+5-2x+%3C+20
The one side you already solved,
x+%3C+5%2F2
The other side is,
5-2x%3C20
-2x%3C15
x%3E-15%2F2
Putting those two together,
(-15%2F2,5%2F2)
Then look at all of the variations with the different inequality signs,
0+%3C+5-2x+%3C+20: (-15%2F2,5%2F2)
0+%3C+5-2x+%3C=+20: [-15%2F2,5%2F2)
0+%3C=+5-2x+%3C=+20: [-15%2F2,5%2F2]
0+%3C=+5-2x+%3C+20: (-15%2F2,5%2F2]



Numbers_Word_Problems/340390: Find three consecutive even integers such that 6 times the sum of the first and the third is 8 less than 14 times the second.


I do not understand how to solve this problem.
1 solutions

Answer 243918 by Fombitz(13828) About Me  on 2010-09-08 13:26:38 (Show Source):
You can put this solution on YOUR website!
Three consecutive even integers would be N, N%2B2, and N%2B4.
Find three consecutive even integers such that
"6 times the sum of the first and the third""6%28N%2B%28N%2B4%29%29=6%282N%2B4%29=12N%2B24
"is" translates to "="
"8 less than 14 times the second":14%2A%28N%2B2%29-8=14N%2B28-8=14N%2B20
.
.
.
12N%2B24=14N%2B20
Solve for N.
Then find N%2B2 and N%2B4.


Geometry_Word_Problems/340313: If each edge of cube M with a unit length of 3 is increased by 50%, creating a second cube B, then what is the volume of cube B?
(a) 20.5 (b) 36 (c) 64 (d) 91.125 (e) 216


1 solutions

Answer 243911 by Fombitz(13828) About Me  on 2010-09-08 13:12:55 (Show Source):


Inequalities/340377: x-6/2 + x-5/3 = 3/2
1 solutions

Answer 243875 by Fombitz(13828) About Me  on 2010-09-08 11:18:07 (Show Source):
You can put this solution on YOUR website!
Multiply both sides by 6.
3%28x-6%29%2B2%28x-5%29=9
3x-18%2B2x-10=9
5x-28=9
5x=37
highlight%28x=37%2F5%29


Square-cubic-other-roots/340379: what is the cube root of -216

1 solutions

Answer 243874 by Fombitz(13828) About Me  on 2010-09-08 11:15:40 (Show Source):


Polynomials-and-rational-expressions/340348: 1. x^4-81 2. y^4-8y^2-48 3. 8a^3-b^3 4. 25x^2+30x+9 5. x^2+16 how to solve
1 solutions

Answer 243873 by Fombitz(13828) About Me  on 2010-09-08 11:15:05 (Show Source):
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1. where i=sqrt%28-1%29
2. where i=sqrt%28-1%29
3.+8a%5E3-b%5E3=%282a-b%29%284a%5E2%2B2ab%2Bb%5E2%29
4.++25x%5E2%2B30x%2B9=%285x%2B3%29%5E2
5.x%5E2%2B16+=%28x%2B4i%29%28x-4i%29 where i=sqrt%28-1%29


Equations/340374: solve the equation 3(y-2)=y-6

1 solutions

Answer 243872 by Fombitz(13828) About Me  on 2010-09-08 11:09:34 (Show Source):


Triangles/340302: The base of an isosceles triangle is 3 less than twice the length of one of its sides with equal length. The perimeter of the triangle is 37cm. Find the length of its base. Thank you.
1 solutions

Answer 243870 by Fombitz(13828) About Me  on 2010-09-08 11:03:17 (Show Source):
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Let S be the equal length side.
B=2S-3
B%2BS%2BS=37
Substituting,
2A-3%2BS%2BS=37
4S=40
S=10cm
.
.
.
B=2%2810%29-3
B=17cm


Length-and-distance/340293: Suppose M is between L and N. Use the Segment Addition Postulate to solve for the variable. Then find the lengths of segments LM, MN, and LN.
LM= 1/2z +2
MN= 3z + 3/2
LN= 5z + 2
1 solutions

Answer 243869 by Fombitz(13828) About Me  on 2010-09-08 11:00:53 (Show Source):
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LM%2BMN=LN
%281%2F2%29z%2B2%2B3z%2B3%2F2=5z%2B2
Multiply both sides by 2.
z%2B4%2B6z%2B3=10z%2B4
3z=3
z=1
.
.
.
LM=+1%2F2%281%29+%2B2=5%2F2
MN=+3%281%29+%2B+3%2F2=9%2F2
LN=+5%281%29%2B2=7


Polynomials-and-rational-expressions/340370: Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.
A rectangular platform is 11 feet longer than it is wide. If the area of the platform is 276 square feet, find the length and the width

DOES ANYONE KNOW WHO TO SOLVE THIS PROBLEM? DO I MULITIPLY 275 X 11 TO GET THE LENGTH... PLEASE HELP!
1 solutions

Answer 243868 by Fombitz(13828) About Me  on 2010-09-08 10:58:25 (Show Source):
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Define some variables first.
L-length
W-width
Turn the words into equations.
"11 feet longer than it is wide"
1.L=11%2BW
.
.
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The area of a rectangle is,
A=L%2AW
2.L%2AW=276
Substitute using eq. 1,
%2811%2BW%29W=276
W%5E2%2B11W=276
W%5E2%2B11W-276=0
Factor,
%28W%2B23%29%28W-12%29=0
Two solutions but only the positive solution makes sense in this case.
W-12=0
highlight%28W=12%29ft
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Then from eq. 1,
L=11%2B12
highlight%28L=23%29ft


test/340325: The length of a rectangle is 3cm greater than it's width. If the perimeter is 46cm, what is the length and width?
1 solutions

Answer 243867 by Fombitz(13828) About Me  on 2010-09-08 10:53:35 (Show Source):
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For a rectangle,
P=2L%2B2W=46
L%2BW=23
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L=W%2B3
Substitute,
W%2B3%2BW=23
2W=20
highlight%28W=10%29cm
Then from eq. 2,
L=10%2B3
highlight%28L=13%29cm


Angles/340272: Right angle RTS = 8x+18. Find x so that rayTR is perpendicular to rayTS. How do you solve this problem?

1 solutions

Answer 243866 by Fombitz(13828) About Me  on 2010-09-08 10:51:02 (Show Source):


Geometry_Word_Problems/340352: Determine the most precise name for a quadrilateral ABCD with vertices A(0,4), B(3,0), C(0,-4) and D(-3,0)
1 solutions

Answer 243865 by Fombitz(13828) About Me  on 2010-09-08 10:49:51 (Show Source):
You can put this solution on YOUR website!
Jimmy?
Fred?
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How about Rhombus, Diamond, Isoceles Trapezoid?
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Inequalities/340273: What is the graph for xy>=0; how would I solve for y in this case? and the graph for y^2>x^2?
1 solutions

Answer 243864 by Fombitz(13828) About Me  on 2010-09-08 10:45:56 (Show Source):
You can put this solution on YOUR website!
Think about it.
First quadrant, x%3E0, y%3E0, xy%3E0
Second quadrant, x%3C0,y%3E0, xy%3C0
Third quadrant, x%3C0, y%3C0, xy%3E0
Fourth quadrant, x%3E0, y%3C0, xy%3C0
Also include the in the first and third quadrant and on the x and y axes.
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Solve for y%5E2=x%5E2
y=x and y=-x
That's two lines.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%2C-x%29
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Pick points in each region and test the inequality.
Since the "=" sign is not included the regions are broken up into 8 regions not just 4 regions, so use the two lines and the two axes to demarcate each region.

In the first region, x=4, y=2
y%5E2%3Ex%5E2
1%5E2%3E2%5E2
1%3E4
False, this region is not in the solution region.
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In the second region, x=2,y=4
y%5E2%3Ex%5E2
4%3E1
True, this region is part of the solution region.
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Continue until you've tested a point in each region.
Remember the x and y axes are not included in the solution region.


Square-cubic-other-roots/340274: square root of 72x minus the square root of 18x
1 solutions

Answer 243859 by Fombitz(13828) About Me  on 2010-09-08 10:32:57 (Show Source):


Probability-and-statistics/340292: evaluate the following determinants [-2,-1,0,-3,5,-2,0,8,-1]
1 solutions

Answer 243857 by Fombitz(13828) About Me  on 2010-09-08 10:30:13 (Show Source):
You can put this solution on YOUR website!
[A]=%28matrix%283%2C3%2C-2%2C-1%2C0%2C-3%2C5%2C-2%2C0%2C8%2C-1%29%29
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det[A]=-19


Probability-and-statistics/340290: if set A=(3,4,5,6,7)and set B=(1,2,3,4)
(a) what is A U B
(B) what is A ∩ B
1 solutions

Answer 243856 by Fombitz(13828) About Me  on 2010-09-08 10:28:38 (Show Source):
You can put this solution on YOUR website!
A U B={1,2,3,4,5,6,7}
A ∩ B={3,4}