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Surface-area/120870: Hi!!!!
Please help me with this....

Tamar is bulding a fence around her deck. The deck is a square with an area of 25m square. It costs $120 to build each meter of wood fencing. How much will Tamar spend??
1 solutions

Answer 88669 by checkley71(8403) About Me  on 2008-01-17 17:33:40 (Show Source):
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sqrt25=5m which is the length of the deck sides & there are 4 sides.
5*4*120=$2,400 is the cost if she is fencing the entire deck.


Graphs/120714:
Solve and Graph:
4x=5y=-2 4y-x=11

and...

3x+y=2
-x-3y=6
1 solutions

Answer 88668 by checkley71(8403) About Me  on 2008-01-17 17:29:10 (Show Source):
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4x+5y=-2 I'll assume the first=should be a + sign.
5y=-4x-2 or y=-4x/5-2/5 (red line).
4y-x=11 or 4y=x+11 or y=x/4+11/4 (green line).
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -4x/5 -2/5 and y = x/4 +11/4).


Graphs/120735: Solve each system by the addition method.
(1/8)x+(1/4)y=3
(1/16)x+(1/2)y=7

and
1.5x-2y=-0.25
3x+1.5Y=6.375
1 solutions

Answer 88666 by checkley71(8403) About Me  on 2008-01-17 17:21:36 (Show Source):
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x/8+y/4=3
x/16+y/2=7 now multiply the second equation by -1/2 & add.
x/8+y/4=3
-x/32-y/4=-7/2
--------------------------------------
x/8-x/32=3-7/2
4x/32-x/32=6/2-7/2
3x/32=-1/2 now cross multiply.
3x*2=-32
6x=-32
x=-32/6
x=-16/3 answer.
-16/3*1/8+y/4=3
-16/24+y/4=3
y/4=3+16/24
y/4=3+2/3
y/4=9/3+2/3
y/4=11/3 cross multiply
3y=44
y=44/3 answer.
proof
(-16/3)/16+(44/3)/2=7
-1/3+44/6=7
-1/3+22/3=7
21/3=7
7=7


Radicals/120815: 6/7*3/5
1 solutions

Answer 88662 by checkley71(8403) About Me  on 2008-01-17 16:42:47 (Show Source):
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6/7*3/5=18/35 answer.


Radicals/120816: 6/7*3/5
1 solutions

Answer 88661 by checkley71(8403) About Me  on 2008-01-17 16:41:36 (Show Source):
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6/7*3/5=18/35 answer.


Miscellaneous_Word_Problems/120819:
Yvonne biked for 1 1/4 hours and traveled 12 1/2 miles. How many miles per hour did she average?
1 solutions

Answer 88660 by checkley71(8403) About Me  on 2008-01-17 16:36:52 (Show Source):
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12.5/1.25=10 mph.


Polynomials-and-rational-expressions/120838:
y=2x+1
1 solutions

Answer 88659 by checkley71(8403) About Me  on 2008-01-17 16:34:10 (Show Source):
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y=2x+1
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+2x+%2B1%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 2x +1).


Polynomials-and-rational-expressions/120839:
y=-X
1 solutions

Answer 88656 by checkley71(8403) About Me  on 2008-01-17 16:32:07 (Show Source):
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y=-x
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+-x%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -x).


Polynomials-and-rational-expressions/120840:

y=1/2x+2
1 solutions

Answer 88655 by checkley71(8403) About Me  on 2008-01-17 16:30:15 (Show Source):
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I'LL ASSUME THIS IS A LINE EQUATION.
Y=X/2+2
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+x%2F2+%2B2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = x/2 +2).


Polynomials-and-rational-expressions/120862: This question is from textbook College Algebra
Evaluate the expression and write the result in the form a + bi.
1/8+10i - 1/8+10i = _____ + _______i
I do not know how to divide complex numbers. Note that that 8+10i is the numerator in both equations.
I would greatly appreciate your help!! Thank you so much.
1 solutions

Answer 88653 by checkley71(8403) About Me  on 2008-01-17 16:26:51 (Show Source):
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I'LL ASSUME YOU MEAN THE (8+10i) IS IN THE DENOMINATOR!!!!!
1/(8+10i)-1/(8+10i)
(8+10i)-(8+10i)/(8+10i)(8+10i)
8-8+10i-10i/(8+10i)(8+10i)
0+0/(8+10i)(8+10i)=0 ANSWER.


Expressions-with-variables/120863: This question is from textbook Algebra 1

1/2n+2/3m+1/2m+1/3n
1 solutions

Answer 88652 by checkley71(8403) About Me  on 2008-01-17 16:19:28 (Show Source):
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N/2+2M/3+M/2+N/3
(3N+2N)/6+(4M+3M)/6
5N/6+7M/6=(5N+7M)/6 ANSWER.


Linear-systems/120843:

2y-x=-8 3x+4y=-6
I have to solve this by elimination and Im really confused. Could someone help please?
1 solutions

Answer 88650 by checkley71(8403) About Me  on 2008-01-17 16:15:11 (Show Source):
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2Y-X=-8
4Y+3X=-6
MULTIPLY THE FIRST EQUATION BY 3 AND SUBTRACT THEM.
6Y-3X=-24
4Y+3X=-6
---------------------------------
10Y=-30
Y=-30/10
Y=-3 ANSWER.
2*-3-X=-8
-6-X=-8
-X=-8+6
-X=-2
X=2 ANSWER.
PROOF
4*-3+3*2=-6
-12+6=-6
-6=-6


Linear-systems/120846: The sum of Jim's age and Mike's age is 52. Six years ago Mike was four times as old as Jim was. How old is Jim now?
Could someone help me please?
1 solutions

Answer 88646 by checkley71(8403) About Me  on 2008-01-17 15:52:56 (Show Source):
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J+M=52 OR J=52-M
(J-6)=4(M-6)
(52-M-6)=4M-24
46-M=4M-24
-M-4M=-24-46
-5M=-70
M=-70/-5
M=14 ANSWER FOR MIKE'S AGE NOW.
J=52-14=38 ANSWER FOR JIM'S AGE NOW.
PROOF
38-6=4(14-6)
32=4*8
32=32


Age_Word_Problems/120847: The numerator of a fraction is seven more than twice the denominator. The value of the reciprocal of the fraction is 0.4. Find the original fraction.
Could someone please help me?
1 solutions

Answer 88643 by checkley71(8403) About Me  on 2008-01-17 15:41:15 (Show Source):
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(2x+7)/x=.4
2x+7=.4x
2x-.4x=-7
1.6x=-7
x=-7/1.6
x=-4.375 answer.
proof
(2*-4.375+7)/-4.375=.4
(-8.75+7)/-4.375=.4
-1.75/-4.375=.4
.4=.4


Linear-equations/120848: 2x+y=7
2x-2y=-8
Could someone please help me?
1 solutions

Answer 88641 by checkley71(8403) About Me  on 2008-01-17 15:33:12 (Show Source):
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2x+y=7
2x-2y=-8 now subtract these equations
-------------------------------
3y=15
y=15/3
y=5 answer
2x+5=7
2x=7-5
2x=2
x=2/2
x=1 answer.
proof
2*1-2*5=-8
2-10=-8
-8=-8
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+-2x+%2B7%2C+y+=+x+%2B4%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -2x +7 and y = x +4).


Polynomials-and-rational-expressions/120850:
solve equation a+4 over 2 equals a+4 over a
1 solutions

Answer 88640 by checkley71(8403) About Me  on 2008-01-17 15:25:24 (Show Source):
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(a+2)/2=(a+2)/a cross multiply
a(a+2)=2(a+2)
a^2+2a=2a+4
a^2+2a-2a-4=0
a^2-4=0
(a-2)(a+2)=0
a-2=0
a=2 answer.
a+2=0
a=-2 answer.
proof
(2+2)/2=(2+2)2
4/2=4/2
2=2
(-2+2)/2=(-2+2)/-2
0/2=0/-2
0=0


Complex_Numbers/120860: what is 'i' divided by 'i'? thanks

1 solutions

Answer 88638 by checkley71(8403) About Me  on 2008-01-17 15:19:00 (Show Source):
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i/i=1 any number/item divided by itself is 1.


Polynomials-and-rational-expressions/120853: Among 100 coffee drinkers, 36 said that they preffered their coffee black and the rest did not prefer their coffee black. Find the ratio of those who prefer black coffee to those who prefer nonblack coffee.
1 solutions

Answer 88635 by checkley71(8403) About Me  on 2008-01-17 15:16:35 (Show Source):
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36/(100-36)=36/64=18/32=9/16 answer for the ration of black to non-black coffee drinkers.


Rational-functions/120857:
y=X+2
1 solutions

Answer 88634 by checkley71(8403) About Me  on 2008-01-17 15:12:29 (Show Source):
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y=x+2
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+x+%2B2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = x +2).


Polynomials-and-rational-expressions/120858: The ancient Greeks thought that the most pleasing shape for rectangle was one for which the ratio. If the length of a rectangular painting is 2 ft longer than its width, then for what dimention would the length and width have the golden ratio?
1 solutions

Answer 88632 by checkley71(8403) About Me  on 2008-01-17 15:08:57 (Show Source):
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x & x+2
Then the dimensions could be the following:
10 12
14 16
20 22
44 46
60 62


Polynomials-and-rational-expressions/120856: If four out of five doctors prefer fast food, then at a convention of 445 doctors, how many prefer fast food?
1 solutions

Answer 88628 by checkley71(8403) About Me  on 2008-01-17 15:05:09 (Show Source):
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4/5=.8
.8*445=356 doctors prefer fast foods.


Equations/120800: simplify
4x-7(x + 3)
1 solutions

Answer 88593 by checkley71(8403) About Me  on 2008-01-17 11:21:09 (Show Source):
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4X-7(X+3)
4X-7X-21
-3X-21
-3(X-7) ANSWER.


Equations/120806: Simplify 0.06 divided by 7.2
1 solutions

Answer 88591 by checkley71(8403) About Me  on 2008-01-17 11:18:53 (Show Source):
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.06/7.2=1/120 OR .008333 ANSWER


Equations/120803: Solve 3x + 2y = 9 for x in terms of y.
1 solutions

Answer 88589 by checkley71(8403) About Me  on 2008-01-17 11:17:01 (Show Source):
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3X+2Y=9
2Y=-3X+9
Y=-3X/2+9/2 ANSWER.


Equations/120804:
Solve 3x + 2y = 9 for y in terms of x.
1 solutions

Answer 88588 by checkley71(8403) About Me  on 2008-01-17 11:15:38 (Show Source):
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3X+2Y=9
2Y=-3X+9
Y=-3X/2+9/2 ANSWER.


Equations/120801: IF A/10=0.57, A IS EQUAL TO
57 OR .057 OR 5 7/10 OR 0.057 OR NONE OF THESE
1 solutions

Answer 88587 by checkley71(8403) About Me  on 2008-01-17 11:14:09 (Show Source):
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A/10=.57 CROSS MULTIPLY
A=10*.57
A=5.7 OR 5 7/10 IS THE ANSWER.


Equations/120799: Simplify

-3(6+1)
1 solutions

Answer 88586 by checkley71(8403) About Me  on 2008-01-17 11:11:54 (Show Source):
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-3(6+1)=-3*7=-21 ANSWER.


Radicals/120795:
solve (x-2)^2=10
1 solutions

Answer 88585 by checkley71(8403) About Me  on 2008-01-17 11:10:22 (Show Source):
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(X-2)^2=10
X^2-4X+4-10=0
X^2-4X-6=0
USING THE QUADRATIC EQUATION WE GET:x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
X=(4+-SQRT[-4^2-4*1*-6])/2*1
X=(4+-SQRT[16+24])/2
X=(4+-SQRT40)/2
X=(4+-6.235)/2
X=(4+6.235)/2
X=10.235/2
X=5.16 ANSWER.
X=(4-6.235)/2
X=-2.235/2
X=-1.16 ANSWER.


Radicals/120797: Write the equation of the line passing through (-1,7) and (-1,1)
1 solutions

Answer 88582 by checkley71(8403) About Me  on 2008-01-17 11:02:56 (Show Source):
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FIRST WE FIND THE SLOPE(Y2-Y1)/(X2-X1)
SLOPE=(1-7)/(-1+1)=-6/0 OR A VERTICLE LINE THROUGH THE POINT X=-1
THUS THE LINE EQUATION IS X=-1 ANSWER.


Miscellaneous_Word_Problems/120796: Car rental agency A will rent a compact car for $35 per day and an additional charge of $0.24 per mile. Car rental agency B will charge only $0.16 per mile but charges $41 per day. If Adam wanted to rent a car for three days, how many miles would Adam have to drive to make car rental agency B a better bargain?
1 solutions

Answer 88581 by checkley71(8403) About Me  on 2008-01-17 10:58:59 (Show Source):
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.11X+.09(6000-X)=624
.11X+540-.09X=624
.02X=624-540
.02X=84
X=84/.02
X=4200 AMOUNT INVESTED @ 11%.
6000-4200=1800 AMOUNT INVESTED @ 9%.
PROOF
.11*4200+.09*1800=624
462+162=624
624=624


Linear-equations/120778: pls help

A slope passing through (9,15) and (2,y) is parallel to a line with slope 2. What is the value of y?
1 solutions

Answer 88579 by checkley71(8403) About Me  on 2008-01-17 10:54:04 (Show Source):
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SLOPE=(Y-15)/(2-9)=2 CROSS MULTIPLY
2*-7=Y-15
-14=Y-15
Y=-14+15
Y=1 ANSWER. (9,15)(2,1)
PROOF
(1-15)/2-9)=2
-14/-7=2
2=2