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# Recent problems solved by 'checkley77'

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 Rational-functions/214258: how do i solve ?1 solutions Answer 161841 by checkley77(12569)   on 2009-09-16 19:58:54 (Show Source): You can put this solution on YOUR website!4/(x-2)+x/(2-x) 4(2-X)+X(X-2)/(X-2)(2-X) (8-4X+X^2-2X)/(X-2)(2-X) (X^2-6X+8)/(X-2)(2-X) (X-2)(X-4)/(X-2)(2-X) CANCEL OUT THE (X-2) TERMS. (X-4)/(2-X) ANS.
 Exponents-negative-and-fractional/214269: I need Help trying to solve the following question X^(1/3)* (X^2). I know the answer however I am confused as to how you multiply the exponents when you have a fraction as an exponent?1 solutions Answer 161839 by checkley77(12569)   on 2009-09-16 19:51:11 (Show Source): You can put this solution on YOUR website!X^(1/3)* (X^2). X^(1/3+2) X^7/3 CUBE RT X^7 (X^2)CUBERTX ANS
 Miscellaneous_Word_Problems/214275: I know the answer to the problem, 8 boxes of ball points and 4 boxes of felt tips, but I am unsure of how to write the equation so that it makes sense. Here is the word Problem: Will ordered 2 times as many boxes of ballpoint pens as boxes of felt tip pens. Ballpoint pens cost \$3.50 per box, and felt tip pens cost \$4.50 per box. If Will's order of pens totaled \$46.00, how many boxes of each type of pen did he buy.1 solutions Answer 161835 by checkley77(12569)   on 2009-09-16 19:40:31 (Show Source): You can put this solution on YOUR website!b=2f 3.50b+4.50f=46.00 3.50*2f+4.50f=46.00 7.00f+4.50f=46.00 11.50f=46.00 f=46.00/11.50 f=4 boxes of felt tip pens were bought. b=2*4=8 boxes of ball point pens were bought. Proof: 3.50*8+4.50*4=46.00 28+18=46.00 46=46
 Angles/214232: This question is from textbook elementary algebra The sum of the measure of an angle and three times its complement is 202. Find the measure of the angle. ***** this is how I set it up as ..... x= sum 3(90-x) = 202 x + 3(90-x) = 202 1 solutions Answer 161831 by checkley77(12569)   on 2009-09-16 19:30:41 (Show Source): You can put this solution on YOUR website!x+3(90-x)=202 x+270-3x=202 -2x=202-270 -2x=-68 x=-68/-2 x=34 degrees for the smaller angle. 90-34=56 degrees for the larger angle. Proof: 34+3*56=202 34+168=202 202=202
 Linear-equations/214236: how do i give standard form of equations of the line through these given points? 4,-2 and the slope is 1. and what about the ones with no slope. how about parallel and perpendicular lines with given points? sorry i'm askin all these questions. i have a test on friday and this is my homework. Please Help Me.1 solutions Answer 161826 by checkley77(12569)   on 2009-09-16 19:25:58 (Show Source): You can put this solution on YOUR website!Y=mX+b -2=1*4+b -2=4+b b=-2-4 b=-6 the y intercept. y=x-6 (graph 300x200 pixels, x from -6 to 7, y from -10 to 10, x -6). --------------------------------------------------------- No slope: y=-6 (graph 300x200 pixels, x from -6 to 7, y from -10 to 10, y = -6). ----------------------------------------------------------- (3,-3) slope=2 -3=-2*3+b -3=-6+b b=-3+6 b=3 y intercept. y=2x+3 (red line) ---------------------------------- Perpendicular line through (4,4) Perpendicular line will have a slope=-1/2 4=-1/2*4+b 4=-2+b b=4+2 b=6 y=-x/2+6 (green line) (graph 300x300 pixels, x from -6 to 10, y from -6 to 10, of TWO functions 2x +3 and -x/2 +6).
 Expressions-with-variables/214241: How many quarts of pure orange juice should micheal add to a 10% orange drink create 6 quarts of a 40% orange juice mixture? Let p represent the number of quarts of pure orange juice he should add to the orange drink1 solutions Answer 161814 by checkley77(12569)   on 2009-09-16 18:51:54 (Show Source): You can put this solution on YOUR website!.10(6-P)+P=.40*6 .6-.1P+P=2.4 .9P=2.4-.6 .9P=1.8 P=1.8/.9 P=2 QTS. OF PURE ORNGE JUICE IS USED. PROOF: .10*4+2=2.4 .4+2=2.4 2.4=2.4
 real-numbers/214242: How do I solve -1/2- (- 5/8 ) 1 solutions Answer 161808 by checkley77(12569)   on 2009-09-16 18:46:24 (Show Source): You can put this solution on YOUR website!-1/2-(-5/8) 1/2+5/8 4/8+5/8=9/8 ANS.
 Linear_Equations_And_Systems_Word_Problems/214146: Penelope has several coins, all nickels and quarters, in her piggy bank. The total amount of money that she has is \$15.65. If Penelope has 13 more nickels than quarters, how many quarters does she have?1 solutions Answer 161805 by checkley77(12569)   on 2009-09-16 18:43:58 (Show Source): You can put this solution on YOUR website!Q=N-13 .25Q+.05N=15.65 .25(N-13)+.05N=15.65 .25N-3.25+.05N=15.65 .30N=15.65+3.25 .30N=18.90 N=18.90/.30 N=63 NICKELS. Q=63-13=50 QUARTERS. PROOF: .25*50+.05*63=15.65 12.50+3.15=15.6515.65=15.65
 Linear-equations/214000: 3y-3x=121 solutions Answer 161659 by checkley77(12569)   on 2009-09-15 22:06:04 (Show Source): You can put this solution on YOUR website!3y-3x=12 3y=3x+12 y=3x/3+12/3 y=x+4 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x +4).
 Polynomials-and-rational-expressions/214005: 21 = 3 a+2 a-11 solutions Answer 161657 by checkley77(12569)   on 2009-09-15 22:03:15 (Show Source): You can put this solution on YOUR website!If you meant: 21/(a+2)=3/(a-1) Then: 21(a-1)=3(a+2) 21a-21=3a+6 21a-3a=6+21 18a=27 a=27/18 a=3/2 ans. Proof: 21/(3/2+2)=3/(3/2-1) 21/(7/2)=3/(1/2) 21*2/7=3*2/1 42/7=6 6=6
 Linear-systems/214012: This question is from textbook california algebra 1 Travel: Connor is driving 65 miles per hour on the highway. Ed is 15 miles behind him driving at 70 miles per hour. After how may hours will ED catch up to Connor? I learned about d=rt but I can't seem to get this one. I understand that it is pushing me to think, but...1 solutions Answer 161655 by checkley77(12569)   on 2009-09-15 21:55:02 (Show Source): You can put this solution on YOUR website!d=rt 15=(70-65)t 15=5t t=15/5 t=3 hours Connor will catch Ed.
 Geometric_formulas/214010: how do you solve this problem using the midpoint formula? R(2,6) M(-1,1)1 solutions Answer 161652 by checkley77(12569)   on 2009-09-15 21:50:39 (Show Source): You can put this solution on YOUR website!For the x value: (-1-2)/2=-3/2=-1.5 -1+1.5=.5 or 2-1.5=.5 for the x midpoint. ------------- 6-1=5/2=2.5 6-2.5=3.5 or 1+2.5=3.5 for the y midpoint. Ans.(.5,3.5)
 Linear-systems/214009: This question is from textbook MATHPOWER 11 32. The longest cable suspension bridge in the world is the Akashi Kaikyo Bridge in Japan. It has one long span and two short spans. Each short span is half the length of the long span. The total length of the bridge is 3560m. What is the length of each span?1 solutions Answer 161649 by checkley77(12569)   on 2009-09-15 21:41:52 (Show Source): You can put this solution on YOUR website!.5x+1x+.5x=3,560 2x=3,560 x=3,560/2 x=1,780 m. is the length of the long span. 1,780/2=890 m. is the length of the 2 shorter spans. Proof: 890+1,780+890=3,560 3,560=3,560
 Travel_Word_Problems/213913: Two planes leave simultaneously from the same airport, one flying due east and the other due south. The eastbound plane is flying 100 miles per hour faster than the southbound plane. After 4 hours the planes are 3080 miles apart. Find the speed of each plane. (Use 1 decimal place.)1 solutions Answer 161647 by checkley77(12569)   on 2009-09-15 21:37:55 (Show Source): You can put this solution on YOUR website!4(X+100)^2+4X^2=3080^2 4(X^2+200X+10,000)+4X^2=9,486,400 4X^2+800X+40,000+4X^2=9,486,400 8X^2+800X+40,000-9,486,400=0 8X^2+800X-9,446,400=0 8(X^2+100X-1,180,800)=0 X=(-100+-SQRT[100^2-4*1*-1,180,800])/281 X=(-100+-SQRT[10,000+4,723,200])/2 X=(-100+-SQRT4,733,200)/2 X=(-100+-2,175.5918)/2 X=(-100+2,175.5918)/2 X=2,075.5918/2 X=1,037.8 ANS. FOR THE SLOWER PLANE. 1,037.8+100=1,137.8 ANS. FOR THE FASTER PLANE. PROOF: 4(1,137.8)^2+4*1,037.8^2=3080^2 4*1,294,588.8+4*1,077,028.8=9,486,400 5,178,355.2+4,308,115.2=9,486,400 9,486,400~9,486,400
 Distributive-associative-commutative-properties/213939: This question is from textbook elementary and intermediate algebra (y+3)-(y-2)-(y+6)-7(y-1)1 solutions Answer 161635 by checkley77(12569)   on 2009-09-15 21:01:24 (Show Source): You can put this solution on YOUR website!(y+3)-(y-2)-(y+6)-7(y-1) Y+3-Y+2-Y-6-7Y+7 -8Y+6 -2(4Y-3) ANS.
 absolute-value/213944: I am working on Absolute Value Equations and it says to solve the equation and check your solutions [x+15]=371 solutions Answer 161624 by checkley77(12569)   on 2009-09-15 20:29:49 (Show Source): You can put this solution on YOUR website![x+15]=37 X+15=37 X=37-15 X=22 ANS. X+15=-37 X=-37-15 X=-52 ANS.
 Mixture_Word_Problems/213954: How many milliliters of a 29% alcohol solution must be added to 5 milliliters of a 5% alcohol solution to produce a 17% alcohol solution?1 solutions Answer 161620 by checkley77(12569)   on 2009-09-15 20:26:24 (Show Source): You can put this solution on YOUR website!.29X+.05*5=.17(5+X) .29X+.25=.85+.17X .29X-.17X=.85-.25 .12X=.6 X=.6/.12 X=5 ML. OF 29%ALCOHOL IS USED. PROOF: .29*5+.05*5=.17(5+5) 1.45+.25=.17*10 1.7=1.7
 expressions/213959: This question is from textbook I am stuck on the following roblem. Can anyone help me? 15/3x5-4^2 Thanks.1 solutions Answer 161617 by checkley77(12569)   on 2009-09-15 20:20:29 (Show Source): You can put this solution on YOUR website!15/3x5-4^2 15/15-16 1-16=-15 ANS.
 Linear-equations/213972: -16=y+91 solutions Answer 161615 by checkley77(12569)   on 2009-09-15 20:17:33 (Show Source): You can put this solution on YOUR website!-16=y+9 Y=-16-9 Y=-25 ANS.
 Equations/213975: Hi, I tried to do this problem, and I would just like to check with you. The problem is: P=2L+2W solve for L so i subtracted 2W from both sides and got: P-2W=2L then i divided by 2 and got L=P-2W/2 am i correct? or is there something else that needs to be done? thanks in advance1 solutions Answer 161613 by checkley77(12569)   on 2009-09-15 20:15:20 (Show Source): You can put this solution on YOUR website!P=2L+2W solve for L so i subtracted 2W from both sides and got: P-2W=2L then i divided by 2 and got L=(P-2W)/2 YOU FORGOT THE () AROUND THE NUMERATOR. am i correct? or is there something else that needs to be done? thanks in advance
 Numbers_Word_Problems/213852: The sum of four consecutive even integers is 276. Find the four integers1 solutions Answer 161535 by checkley77(12569)   on 2009-09-15 15:51:12 (Show Source): You can put this solution on YOUR website!x, x+2, x+4 & x+6 are the 4 integers. x+x+2+x+4+x+6=276 4x=276-12 4x=264 x=264/4 x=66 for the first integer. 66+2=68 second integer. 66+4=70 third integer. 66+6=72 the fourth integer. Proof: 66+68+70+72=276 276=276
 Linear-systems/213838: Please help me solve this equation: Three times a first number decreased by a second number is 1. The first number increased by twice the second number is 12. Find the numbers I tried: Let x equal 1st number Let y equal 2nd number 3x-y=1 3x+2y=12 1 solutions Answer 161533 by checkley77(12569)   on 2009-09-15 15:47:01 (Show Source): You can put this solution on YOUR website!3x-y=1 multiply by 2 & add. x+2y=12 6x-2y=2 ------------------ 7x=14 x=14/7 x=2 ans. 2+2y=12 2y=12-2 2y=10 y=10/2 y=5 ans. Proof: 3*2-5=1 6-5=1 1=1
 Linear_Equations_And_Systems_Word_Problems/213831: Hey, I need you to solve a problem for me, I really don't understand it. The question is: If Sally can paint a house in 4 hours and John in 6 hours, how long will it take for both of them to paint the house together? Thanks Sumaya.1 solutions Answer 161531 by checkley77(12569)   on 2009-09-15 15:40:36 (Show Source): You can put this solution on YOUR website!4*6/(4+6)=24/10=2.4 hrs. ans.
 Divisibility_and_Prime_Numbers/213842: what numbers are divisible by 2 , 4 , and 8 ?1 solutions Answer 161530 by checkley77(12569)   on 2009-09-15 15:38:42 (Show Source): You can put this solution on YOUR website!Ans. 8 & any & all multiples of 8.
 Equations/212003: This question is from textbook College Algebra Concepts and Models 100-4u/3=5u+6/6+61 solutions Answer 161502 by checkley77(12569)   on 2009-09-15 11:00:33 (Show Source): You can put this solution on YOUR website!100-4u/3=5u+6/6+6 100-4U/3=5U+1+6 100-4U/3-5U=7 -4U/3-5U=7-100 (-4U-5U*3)/3=-93 (-4U-15U)/3=-93 -19U=3*-93 -19U=-279 U=-279/-19 U=14.68421 ANS.
 Radicals/213763: I need help simplifying these radicals. They are all separate radicals, but on the same problem. 3 square roots of two ninths + one half the square root of 32 + nine eights. Thanks 1 solutions Answer 161500 by checkley77(12569)   on 2009-09-15 10:48:29 (Show Source): You can put this solution on YOUR website!3 square roots of two ninths + one half the square root of 32 + nine eights. 3SQRT(2/9)+1/2SQRT(32)+9/8 3/3SQRT2+1/2*4SQRT2+9/8 1SQRT2+2SQRT2+9/8 3SQRT2+9/8 ANS.
 Travel_Word_Problems/213770: This question is from textbook Structure and Method Book 1 An ultra light aircraft flies to a nearby town that is 20 miles away in 2/5 hour with a tail wind. It can fly back home again when fighting a head wind in 1/2 hour. Find the air speed of the ultra light aircraft and the wind speed. Check your answer1 solutions Answer 161499 by checkley77(12569)   on 2009-09-15 10:43:50 (Show Source): You can put this solution on YOUR website!D=RT 20=R*.4 20=.4R R=20/.4 R=50 MPH. WITH THE WIND. 20R=R*.5 .5R=20 R=20/.5 R=40 MPH. AGAINST THE WIND. (50-40)/2=10/2=5 MPH IS THE SPEED OF THE WIND. PROOF: 50-5=45 MPH SPEED OF THE ULTRA LIGHT. 40+5=45 MPH DITTO.
 Rectangles/213775: Ok, this problem wasted 3 hours of my precious college life. Problem: I want to expand my present 25x15ft garden by planting a border of flowers around it. border is the same width around the entire garden. the flowers will cover an area of 624 sq.ft. how wide should the border be. all I need is an algebraic formula, I want to work the rest of the problem out on my own. thanks1 solutions Answer 161498 by checkley77(12569)   on 2009-09-15 10:34:38 (Show Source): You can put this solution on YOUR website!25*15=375 FT^2 I THE GARDEN SIZE. (25+2X)(15+2X)=375+624 375+30X+50X+4X^2=999 4X^2+80X+375-999=0 4X^2+80X-624=0 4(X^2+20X-156)=0 4(X+26)(X-6)=0 X-6=0 X=6 FT. IS THE WIDTH OF THE BORDER. PROOF: (25+12)(15+12)=999 37*27=999 999=999
 Volume/213773: The volume of a sphere that is 1 inch 2 feet in diameter is __ cubic feet?1 solutions Answer 161496 by checkley77(12569)   on 2009-09-15 10:26:22 (Show Source): You can put this solution on YOUR website!V=4/3(PIR^3) V=4/3(3.14*12.5^3) (NOTE 1 IN+2FT=25 IN. 25/2=12.5 IS THE RADIUS) V=4/3(3.14*1,953.125 V=4/3*6,132.8125 V=8,177.0833 IN^3 ANS. OR 4.7321 FT^3
 Linear-equations/213772: Solve the system of equation -x+3y=9 3x-2y=41 solutions Answer 161495 by checkley77(12569)   on 2009-09-15 09:59:40 (Show Source): You can put this solution on YOUR website!-x+3y=9 multipl this equation by 3 & add. 3x-2y=4 -3x+9y=27 -------------------- 7y=31 y=31/7 ans. -x+3*31/7=9 -x+93/7=9 -x=9-93/7 -x=(9*7-93)/7 -x=(63-93)/7 -x=-30/7 x=30/7 ans. Proof: 3*30/7-2*31/7=4 90/7-62/7=4 28/7=4 4=4
 Angles/213511: This question is from textbook Holt Texas Geometry Find the value of the variable and the measure of each angle. (4x^2-6) degrees + (-2x^2+19x) degrees = straight line (180 degrees)1 solutions Answer 161356 by checkley77(12569)   on 2009-09-14 18:16:42 (Show Source): You can put this solution on YOUR website!(4x^2-6)+(-2x^2+19x)=180 4x^2-6-2x^2+19x-180=0 2x^2+19x-186=0 (2x+31)(x-6)=0 x-6=0 x=6 4*6^2-6=4*36-6=138 ans. -2*6^2+19*6=-2*36+114=-72+114=42 ans. Proof: 138+42=180 180=180