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checkley71 answered: 8399 problems
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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) on 2008-01-17 17:33:40 (Show Source):
You can put this solution on YOUR website!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.
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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) on 2008-01-17 17:29:10 (Show Source):
You can put this solution on YOUR website!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).
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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) on 2008-01-17 17:21:36 (Show Source):
You can put this solution on YOUR website!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
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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
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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) on 2008-01-17 16:26:51 (Show Source):
You can put this solution on YOUR website!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.
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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) on 2008-01-17 16:15:11 (Show Source):
You can put this solution on YOUR website!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
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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) on 2008-01-17 15:52:56 (Show Source):
You can put this solution on YOUR website!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
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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) on 2008-01-17 15:41:15 (Show Source):
You can put this solution on YOUR website!(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
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Linear-equations/120848: 2x+y=7
2x-2y=-8
Could someone please help me? 1 solutions
Answer 88641 by checkley71(8403) on 2008-01-17 15:33:12 (Show Source):
You can put this solution on YOUR website!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 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -2x +7 and y = x +4).
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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) on 2008-01-17 15:08:57 (Show Source):
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Radicals/120795:
solve (x-2)^2=10 1 solutions
Answer 88585 by checkley71(8403) on 2008-01-17 11:10:22 (Show Source):
You can put this solution on YOUR website!(X-2)^2=10
X^2-4X+4-10=0
X^2-4X-6=0
USING THE QUADRATIC EQUATION WE GET:
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.
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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) on 2008-01-17 10:58:59 (Show Source):
You can put this solution on YOUR website!.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
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