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Recent problems solved by 'elima'

elima answered: 1432 problems
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Circles/132722: I am a little confused about diameters. I would be grateful for any assistance available. The problem states: A circular path around a lake has a diameter of 1,500 feet (ft). Pranotti jogs around the path 5 times for her morning run. How far does she run? Use 3.14 for pie and round your answer to the nearest foot.
1 solutions

Answer 97023 by elima(1433) About Me  on 2008-03-19 13:21:08 (Show Source):
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The diameter of a circle is the length across the center.The formula for circumference (which is the length around the circle);
c=dpi
c=15000pi
c=4710
So the distance around the pond is, 4710, since he went around it 5 times we multiply;
4710(5)=23550ft
:)


expressions/132720: x2-4(x-y) given x=8 y=3 A)60 B)44 C)84 D)46
so 63-4(8-3) didn't match any of these answers. Did I do this correctly? Thank you so much.
1 solutions

Answer 97014 by elima(1433) About Me  on 2008-03-19 12:39:39 (Show Source):
You can put this solution on YOUR website!
You made one little mistake;
8%5E2= 64
so it would be;
64-4(8-3)=64-32+12
32+12=44
so the answer is B
:)


Numbers_Word_Problems/132719: The difference between six times a number and 9 is equal to five times the sum of the number and 2.find the number
1 solutions

Answer 97010 by elima(1433) About Me  on 2008-03-19 12:30:17 (Show Source):
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The difference between six times a number and 9 is equal to five times the sum of the number and 2.find the number
==========================
6x-9 = 5(x+2)
6x-9 = 5x+10
6x-5x=10+9
x=19
:)


Percentage-and-ratio-word-problems/132718: 2.5% equals what decimal number, & fraction?
1 solutions

Answer 97008 by elima(1433) About Me  on 2008-03-19 12:18:47 (Show Source):
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2.5%= 2.5%2F100= 1%2F40
2.5% = .025
:)


Expressions-with-variables/132549: Solve for W
V=LWH
Solve for Z
w/x=y/z
Help!
1 solutions

Answer 96894 by elima(1433) About Me  on 2008-03-18 13:39:44 (Show Source):
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Solve for W
V=LWH
divide each side by l and h so we get the w by itself;
v%2FLH=W
Solve for Z
multiple each side by x and z;
w/x=y/z
zw = yx
now divide each side by w;
z=yx%2Fw
:)


Linear-equations/132545: This question is from textbook algebra math 009
Sorry, I thnk I confussed thing when I plac an = at the end.
The equation is: 3(4x+2)= 2(1x+5)+8,
SOORY! But I'm going to study that one as well, I see it is an equation also that I just might have, thank you. But, don't stop.
1 solutions

Answer 96892 by elima(1433) About Me  on 2008-03-18 13:35:27 (Show Source):
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3(4x+2)= 2(1x+5)+8,
distribute the 3 and the 2;
12x+6=2x+10+8
subtract 6 and 2x from each side;
12x-2x=10+8-6
10x=12
divide each side by 10;
x=12/10
:)


Equations/132544: This question is from textbook Intermediate Algebra
10y-5=4y-25
1 solutions

Answer 96889 by elima(1433) About Me  on 2008-03-18 13:29:41 (Show Source):
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10y-5=4y-25
Subtract 4y and add 5 to each side;
10y-4y=-25+5
6y=-20
divide each side by 6;
y=-20/6= -3 1/3
:)


Quadratic_Equations/132529: Determine whether the following equations have a solution or not? Justify your answer.
p2 - 4p + 4 = 0

1 solutions

Answer 96887 by elima(1433) About Me  on 2008-03-18 13:18:20 (Show Source):
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p2 - 4p + 4 = 0
(p-2)(p-2)=0
p-2=0
p=2
Yes it has a solution;
2%5E2+-+4%282%29+=+4=+0
4-8+4 = 0
:)


Polynomials-and-rational-expressions/132524: This question is from textbook Mc Dougal Littrll Algebera 1
6x+5x+1=0
1 solutions

Answer 96886 by elima(1433) About Me  on 2008-03-18 13:13:20 (Show Source):
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6x+5x+1=0
collect like terms;
11x+1=0
subtract 1 from both sides;
11x=-1
divide each side by 11;
x=-1/11
:)


Numeric_Fractions/132523: I need help with this problem and would appreciate if anyone could help me solve it. Thank you.
n + 5 3/10=8 1/10, find the value of n.
1 solutions

Answer 96885 by elima(1433) About Me  on 2008-03-18 13:10:46 (Show Source):
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n + 5 3/10=8 1/10
Subtract 5 3/10 from each side;
n= 8 1/10 - 5 3/10
n= 2 4/5
:)


Pythagorean-theorem/132521: If the area of a square is 169 square centimeters, what is the length of the diagnal?

1 solutions

Answer 96883 by elima(1433) About Me  on 2008-03-18 13:05:41 (Show Source):
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If the area of a square is 169 square centimeters, what is the length of the diagnal?
formula for area of square;
a=s%5E2
169=s%5E2
take the square root of each side;
sqrt%28169%29=sqrt%28s%5E2%29
13=s
so the sides of the square are 13, now we can use Pythagoreans thereom to find the diagonal;
a%5E2+%2B+b%5E2+=+c%5E2
13%5E2+%2B+13%5E2+=+c%5E2
26%5E2+=+c%5E2
take square root of each side;
sqrt%2826%5E2%29+=+sqrt%28c%5E2%29
26 = c
so diagonal = 26
:)


Equations/132492: 2x=3x+2
1 solutions

Answer 96882 by elima(1433) About Me  on 2008-03-18 12:50:44 (Show Source):
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2x=3x+2
subtract 2 from both sides;
2x-2=3x
subtract 2x from both sides;
-2=3x-2x
-2=x
:)


Quadratic_Equations/131608: it says to use a table of values to graph the function
y=x^2-3
1 solutions

Answer 96165 by elima(1433) About Me  on 2008-03-12 13:24:46 (Show Source):
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You choose a value for one of the variables and solve the equation to find the other.
y=x^2-3
x | y
------
0 |
1 |
2 |
Now you solve the equation to find what y equals;
y=%280%29%5E2-3
y=0-3
y=-3
x | y
-------
0 | -3
y=%281%29%5E2-3
y=1-3
y=-2
x |y
-----
0 |-3
1 |-2
Now you do the last
:)


Finance/131589: 2x+y=4
x-y=2
1 solutions

Answer 96164 by elima(1433) About Me  on 2008-03-12 13:18:13 (Show Source):
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2x+y=4
x-y=2
============
y=2+x
2x+2+x=4
3x=2
x=2%2F3
2%282%2F3%29%2By=4
4%2F3%2By=4
y=4-4%2F3
y=-8/3
:)


Radicals/131577: This question is from textbook algebra 1 (califonia edition)
ummm im trying to solve these for homework but even if i read hoe to do the equations i cant solve it
umm i dont know if this is a lot of problems but if it is can you answer two but work it out so i can figure it out?????
1 solutions

Answer 96162 by elima(1433) About Me  on 2008-03-12 13:06:56 (Show Source):
You can put this solution on YOUR website!
We do not all have this book o you should post the problem. If there are a lot, then post a couple and we can show how it is worked out.
:)


Linear-equations/131576: Find the y intercept of the line 6x-4y=-24
Choices are:
6
-4
-6
4
1 solutions

Answer 96161 by elima(1433) About Me  on 2008-03-12 13:04:01 (Show Source):
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Find the y intercept of the line 6x-4y=-24
Choices are:
6
-4
-6
4
--------------------
First put this in slope-intercept form;
6x-4y=-24
-4y=-24-6x
y=%2824%2F4%29%2B%286%2F4%29x
y=6+3%2F2x
y=3%2F2x+6
your y intercept = 6
:)


Equations/131571: Please help me solve this equation.
6a^2-4=5a
1 solutions

Answer 96159 by elima(1433) About Me  on 2008-03-12 12:50:54 (Show Source):
You can put this solution on YOUR website!
I assume you need it factored?
6a%5E2-4=5a
6a%5E2-5a-4=0
(2a+1)(3a-4)
Hope I'm not to late :)


decimal-numbers/123546: 34,000
1 solutions

Answer 90669 by elima(1433) About Me  on 2008-01-30 09:23:44 (Show Source):
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I'm not sure what you want to do, you need to post some instructions.
:)


Geometry_Word_Problems/123553: This question is from textbook prentice hall mathematics
The perimeter of a rectangle is 114 ft.Its length is 3 more than 2x its width.Find the dimensions of the rectangle.
1 solutions

Answer 90665 by elima(1433) About Me  on 2008-01-30 08:52:56 (Show Source):
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The perimeter of a rectangle is 114 ft.Its length is 3 more than 2x its width.Find the dimensions of the rectangle.
perimeter=2L+2w
L=2w+3
114=2(2w+3)+2w
114=4w+6+2w
Subtract 6 from both sides and collect like terms;
108=6w
divide each side by six:
18=w
L=2(18)+3
L=39
:)


Geometry_Word_Problems/117652: The length of a rectangular playing field is 5ft less than twice its width.If the perimeter of the playing field is 230ft find the length and width of the field.
1 solutions

Answer 85892 by elima(1433) About Me  on 2007-12-21 13:49:20 (Show Source):
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P=2W+2L
L=2w-5
230=2w+2(2w-5)
230=2w+4w-10
230=6w-10
240=6w
40=width
Length=2(40)-5
L=80-5
L=75
:)


Systems-of-equations/115307: This question is from textbook Beginning Algebra
Multiply.
(x- 1/3)(x+ 1/3)
x minus one-third multiplied by x plus one-third
I am not sure how to begin

1 solutions

Answer 83902 by elima(1433) About Me  on 2007-12-07 15:50:36 (Show Source):
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You use the foil method;
f=first
o=outside
i=inside
l=last
(x- 1/3)(x+ 1/3)
(x)(x)+(x)(1/3)-(1/3)(x)-(1/3)(1/3)
x%5E2-2%2F9
:)


Graphs/115290: Please help.
Solve the system by graphing.
x - 2y = 8
x + y = -1
Thanks
JMS
1 solutions

Answer 83901 by elima(1433) About Me  on 2007-12-07 15:45:43 (Show Source):
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Solve the system by graphing.
x - 2y = 8
x + y = -1
==========================
first put them in slope intercept form;
x-2y=8
-2y=-x+8
y=1/2x+8
-----------
x+y=-1
y=-x-1
===========
now we graph
:)
graph+%28400%2C400%2C-9%2C9%2C-9%2C9%2C+%281%2F2%29x%2B8%2C+-x-1%29


Geometry_proofs/115274: I do not understand how inscribed angles in a circle works. My teacher asks me questions like to find angles of the stuff in a circle, then i get confused. she says that some are congruent and such, it is difficult for me. We use conjectures from the book Discovering Geometry, An inductive approach, and we are in the circle section. We are supposed to learn by our selfs using these conjecture. Please help
1 solutions

Answer 83899 by elima(1433) About Me  on 2007-12-07 15:34:16 (Show Source):
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I am not sure what you are specifically asking. I'd like to help, maybe you could post a problem and we can try and answer it by explaining the steps.
:)


Inequalities/115219: Trying to solve the inequality
-6 less than or equal to 1/4(3-x)less than or equal to 12. Although I know the correct answer I need to see the steps to solve because my answer come out wrong. thanks for the help
1 solutions

Answer 83898 by elima(1433) About Me  on 2007-12-07 15:18:10 (Show Source):
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-6 less than or equal to 1/4(3-x)less than or equal to 12.
=================================================================\\
-6%3C=1%2F4%283-x%29%3C=12
-6%3C=%283%2F4%29-%281%2F4%29x%3C=12
-6-%283%2F4%29%3C=-%281%2F4%29x%3C=12-%283%2F4%29
-%2824%2F4%29-%283%2F4%29x%3C=-%281%2F4%29x%3C=48%2F4-%283%2F4%29
-27%2F4%3C=%28-1%2F4%29x%3C=45%2F4
-%2827%2F4%29%28-4%2F1%29%3C=x%3C=45%2F4%28-4%2F1%29
27%3C=x%3C=-45
:)


Equations/115170: Allen bought 20 stamps at the post in 37 cents and 20 cents denominations. If the total cost of the stamps was $7.06, how many 37 cents did Allen buy?
1 solutions

Answer 83896 by elima(1433) About Me  on 2007-12-07 15:03:24 (Show Source):
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Allen bought 20 stamps at the post in 37 cents and 20 cents denominations. If the total cost of the stamps was $7.06, how many 37 cents did Allen buy?
==========================================================================
x+y=20
.37x+.20y=7.06
-------------------
y=20-x
.37x+.20(20-x)=7.06
.37x+4-.20x=7.06
.37x-.2x=7.06-4
.17x=3.06
x=18
18+y=20
y=20-18
y=2
Allen bought 18 37 cent stamps
:)


Equations/115168: Find the mean and the median.
-2,-7/4,3/4,4,9
1 solutions

Answer 83889 by elima(1433) About Me  on 2007-12-07 14:26:53 (Show Source):
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median= number that falls exactly in the middle:
3%2F4
mean = %28-2%2B-7%2F4%2B3%2F4%2B4%2B9%29%2F5
11%2F5
2%281%2F5%29
:)


Equations/114983: x=3y+7
x+y=-5
Could someone show me step by step. I am not clear on how to do this yet.
1 solutions

Answer 83674 by elima(1433) About Me  on 2007-12-06 11:46:07 (Show Source):
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Since you do not give any directions of how the teacher wants it solved, I will go ahead and solve it by substitution;
x=3y+7
x+y=-5
============
Since we already have one of the equations solved for x, lets substitute x in the other equation with that;
(3y+7)+y=-5
4y+7=-5
4y=-12
y=-3
-------------------
now we have what y =, so we can use that in either equation and solve for x;
x=3(-3)+7
x=-9+7
x=-2
-------------------
Let me know if you need it solved another way
:)


Proportions/114693: 2h-6=2
_____ _
6 3
1 solutions

Answer 83501 by elima(1433) About Me  on 2007-12-05 12:48:01 (Show Source):
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%282h-6%29%2F6=2%2F3
(3)(2h-6)=(6)(2)
6h-18=12
6h=30
h=5
:)


Inequalities/114694: The solution of the inequality 2x^2-3x-2<0 is
1 solutions

Answer 83500 by elima(1433) About Me  on 2007-12-05 12:43:29 (Show Source):


Equations/113561: Order the ratios from least to greatest.
1. 9/4, 5 to 2, 13:6 , 10/3 ,20 : 7
Any help with this equation would be Greatly appreciated.
1 solutions

Answer 82636 by elima(1433) About Me  on 2007-11-30 18:38:42 (Show Source):
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9/4, 5 to 2, 13:6 , 10/3 ,20 : 7
==================================
You can right all of them as fractions;
9%2F4%2C+5%2F2%2C+13%2F6%2C10%2F3%2C20%2F7
They are all improper fractions;
21%2F4, 21%2F2, 21%2F6,31%2F3,26%2F7;
Now lets order them and put them back into ratios;
21%2F6,21%2F4,21%2F2,26%2F7,31%2F3
13%2F6,9%2F4,5%2F2,20%2F7,10%2F3
:)


Linear_Algebra/113541: Please help. Please understand that I am not sure what topic to pick for this
question but i really need help, please.
Solve the following system of linear inequality by graphing
3x - y ≤ 6
x ≥ 1
y ≤ 3
Thanks
JMS
1 solutions

Answer 82634 by elima(1433) About Me  on 2007-11-30 18:16:00 (Show Source):
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3x - y ≤ 6
x ≥ 1
y ≤ 3
====================
First put the first equation in slope-intercept form;
3x - y ≤ 6
-y%3C=+-3x%2B6
y%3E=3x-6
I am unable to graph a vertical line, so I've done two, y≥3x-6 and
y ≤3. The third line x ≥1, will e the vertical line running thru the 1 one the x-axis. All lines are solid and you shade the area x ≥ 1 to the right of the line, y ≤ 3 the area below the line and y ≥3x-6 the area to the left and up. I hope you understand all this.
:)
graph+%28400%2C400%2C-6%2C6%2C-6%2C6%2C+3x-6%2C+y%3C=3%29