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# Recent problems solved by 'checkley71'

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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)   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.
 Graphs/120714: Solve and Graph: 4x=5y=-2 4y-x=11 and... 3x+y=2 -x-3y=61 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).
 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=6.3751 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 -------------------------------------- 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
 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)   on 2008-01-17 16:36:52 (Show Source): You can put this solution on YOUR website!12.5/1.25=10 mph.
 Polynomials-and-rational-expressions/120838: y=2x+11 solutions Answer 88659 by checkley71(8403)   on 2008-01-17 16:34:10 (Show Source): You can put this solution on YOUR website!y=2x+1 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 2x +1).
 Polynomials-and-rational-expressions/120839: y=-X1 solutions Answer 88656 by checkley71(8403)   on 2008-01-17 16:32:07 (Show Source): You can put this solution on YOUR website!y=-x (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -x).
 Polynomials-and-rational-expressions/120840: y=1/2x+21 solutions Answer 88655 by checkley71(8403)   on 2008-01-17 16:30:15 (Show Source): You can put this solution on YOUR website!I'LL ASSUME THIS IS A LINE EQUATION. Y=X/2+2 (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)   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.
 Expressions-with-variables/120863: This question is from textbook Algebra 1 1/2n+2/3m+1/2m+1/3n1 solutions Answer 88652 by checkley71(8403)   on 2008-01-17 16:19:28 (Show Source): You can put this solution on YOUR website!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)   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
 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
 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
 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).
 Polynomials-and-rational-expressions/120850: solve equation a+4 over 2 equals a+4 over a1 solutions Answer 88640 by checkley71(8403)   on 2008-01-17 15:25:24 (Show Source): You can put this solution on YOUR website!(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)   on 2008-01-17 15:19:00 (Show Source): You can put this solution on YOUR website!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)   on 2008-01-17 15:16:35 (Show Source): You can put this solution on YOUR website!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+21 solutions Answer 88634 by checkley71(8403)   on 2008-01-17 15:12:29 (Show Source): You can put this solution on YOUR website!y=x+2 (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)   on 2008-01-17 15:08:57 (Show Source): You can put this solution on YOUR website!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)   on 2008-01-17 15:05:09 (Show Source): You can put this solution on YOUR website!4/5=.8 .8*445=356 doctors prefer fast foods.
 Equations/120800: simplify 4x-7(x + 3)1 solutions Answer 88593 by checkley71(8403)   on 2008-01-17 11:21:09 (Show Source): You can put this solution on YOUR website!4X-7(X+3) 4X-7X-21 -3X-21 -3(X-7) ANSWER.
 Equations/120806: Simplify 0.06 divided by 7.21 solutions Answer 88591 by checkley71(8403)   on 2008-01-17 11:18:53 (Show Source): You can put this solution on YOUR website!.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)   on 2008-01-17 11:17:01 (Show Source): You can put this solution on YOUR website!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)   on 2008-01-17 11:15:38 (Show Source): You can put this solution on YOUR website!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 THESE1 solutions Answer 88587 by checkley71(8403)   on 2008-01-17 11:14:09 (Show Source): You can put this solution on YOUR website!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)   on 2008-01-17 11:11:54 (Show Source): You can put this solution on YOUR website!-3(6+1)=-3*7=-21 ANSWER.
 Radicals/120795: solve (x-2)^2=101 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.
 Radicals/120797: Write the equation of the line passing through (-1,7) and (-1,1)1 solutions Answer 88582 by checkley71(8403)   on 2008-01-17 11:02:56 (Show Source): You can put this solution on YOUR website!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)   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
 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)   on 2008-01-17 10:54:04 (Show Source): You can put this solution on YOUR website!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