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# Recent problems solved by 'checkley77'

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 Equations/348251: Would someone please explain the steps to solve for y? y-1/x=3/5 Thank you1 solutions Answer 249014 by checkley77(12569)   on 2010-09-26 16:43:23 (Show Source): You can put this solution on YOUR website!y-(1/x)=3/5 add 1/x to both sides. y=3/5+1/x OR: (y-1)/x=3/5 cross multiply 5(y-1)=3x 5y-5=3x add 5 to both sides. 5y=3x+5 divide both sides by 5. y=(3x+5)/5 ans.
 Trigonometry-basics/348253: What is the exact value of sin((5pi)/3) Thanks in advance1 solutions Answer 249012 by checkley77(12569)   on 2010-09-26 16:38:08 (Show Source): You can put this solution on YOUR website!sin((5pi)/3)=.091258082 ANS.
 Rectangles/348256: give the dimensions of five rectangles that have a perimeter o 50 feet1 solutions Answer 249007 by checkley77(12569)   on 2010-09-26 16:29:12 (Show Source): You can put this solution on YOUR website!P=2L+2W 50=2*10+2*15=20+30=50 50=2*5+2*2*20=10+40=50 50=2*4+2*21=8+42=50 50=2*24+2*1=48=2=50 50=2*3+2*22=6+44=50
 Exponents/348259: solve the inequality. -18x-24≤-6(2x+1)1 solutions Answer 249004 by checkley77(12569)   on 2010-09-26 16:25:36 (Show Source): You can put this solution on YOUR website!-18x-24≤-6(2x+1) -18X-24<=-12X-6 -24+6<=-12X+18X -18<=6X -18/6<=X -3<=X ANS. PROOF: -18*(-3)-24<=-6(2*-3+1) +54-24<=-6(-6+1) 30<=-6*-5 30<=30
 test/348265: The length of rectangle is 5m greater than the width. The perimeter is 150m more then twice the width. Find the width and length of the rectangle. Please explain and show how to do it thanks:)1 solutions Answer 249003 by checkley77(12569)   on 2010-09-26 16:19:18 (Show Source): You can put this solution on YOUR website!L=W+5 P=2W+150 P=2W+2L 2L=150 REPL;ACE L WITH (W+5) & SOLVE FOR W. 2(W+5)=150 2W+10=150 2W=150-10 2W=140 W=140/2 W=70 ANS. FOR THE WIDTH. L=70+5=75 ANS FOR THE LENGTH. P=2*70+2*75 P=140+150 P=290 ANS. FOR THE PERIMETER.
 test/348271: The length of a rectangle is 5m greater than the width. The perimeter is 150m more than twice the width. Find the width and length of the rectangle. Please help an explain thanks:)!!1 solutions Answer 249002 by checkley77(12569)   on 2010-09-26 16:16:26 (Show Source): You can put this solution on YOUR website!L=W+5 P=2W+150 P=2W+2L 2L=150 REPL;ACE L WITH (W+5) & SOLVE FOR W. 2(W+5)=150 2W+10=150 2W=150-10 2W=140 W=140/2 W=70 ANS. FOR THE WIDTH. L=70+5=75 ANS FOR THE LENGTH. P=2*70+2*75 P=140+150 P=290 ANS. FOR THE PERIMETER.
 Equations/348272: 27 +(3x27) divided by 6=1 solutions Answer 249000 by checkley77(12569)   on 2010-09-26 16:10:01 (Show Source): You can put this solution on YOUR website!27 +(3x27) divided by 6= ************************ 27+(3*27)/6 27+81/6 27+13.5=13.3 ans. OR (27+3*27)/6 (27+81)/6 108/6=18 ans.
 absolute-value/348282: |4-x|=3x1 solutions Answer 248993 by checkley77(12569)   on 2010-09-26 15:58:55 (Show Source): You can put this solution on YOUR website!|4-x|=3x 4-x=3x 4=3x+x 4=4x x=4/4 x=1 ans -|4-x|=3x -4+x=3x -4=3x-x 2x=-4 x=-4/2 x=-2 ans.
 Proportions/348287: 2 and 1 half over 3 and 1 third = Y over 4 and 1 fourth. What is Y?1 solutions Answer 248991 by checkley77(12569)   on 2010-09-26 15:54:53 (Show Source): You can put this solution on YOUR website!2.5/3+1/3=y/4+1/4 (2.5+1)/3=(y+1)/4 3.5/3=(y+1)/4 cross multiply. 3(y+1)=4*3.5 3y+3=14 3y=14-3 3y=11 y=11/3 ans. Proof: 2.5/3+1/3=(11/3)/4+1/4 3.5/3=11/3*1/4+1/4 3.5/3=11/12+1/4 3.5/3=(11+3)/12 3.5/3=14/12 3*14=3.5*12 42=42
 Human-and-algebraic-language/348288: three less than the product of 13 and a number?1 solutions Answer 248989 by checkley77(12569)   on 2010-09-26 15:48:45 (Show Source): You can put this solution on YOUR website![13N-3] ans.
 Proportions/347922: A mechanic can install carburetors in 3 cars every 4 hours. At that rate, how long will it take the mechanic to install carburetors in 5 cars? 1 solutions Answer 248836 by checkley77(12569)   on 2010-09-25 20:01:42 (Show Source): You can put this solution on YOUR website!3/4=5/X 3X=20 X=20/3 X=6.667 HOURS ANS.
 Angles/347943: The measure of an angle is 20 less than 3 times its supplement. What is the measure of the angle?1 solutions Answer 248835 by checkley77(12569)   on 2010-09-25 19:58:17 (Show Source): You can put this solution on YOUR website!X=3(180-X)-20 X=540-3X-20 X+3X=520 4X=520 X=520/4 X=130 ANS. FOR THE LARGER ANGLE. PROOF: 130=3(180-130)-20 130=3*50-20 120=150-20 130=130
 Numeric_Fractions/347973: convert each number to its fractional form: 1. 0.82 with hyphen over 82 2. 0.796 with hyphen over 7961 solutions Answer 248832 by checkley77(12569)   on 2010-09-25 19:50:56 (Show Source): You can put this solution on YOUR website!82/99=.82828282 796/999=.796796796
 Inequalities/347981: -2 (3 + x) < 4x + 4 < 8x1 solutions Answer 248824 by checkley77(12569)   on 2010-09-25 19:36:45 (Show Source): You can put this solution on YOUR website!-2 (3 + x) < 4x + 4 < 8x -6-2X<4X+4<8X -6<2X+4X-8X<-4 -6<-2X<-4 -6/-2>X>-4/-2 [NOTE THE SIGNS CHANGE WHEN DIVIDING BY A NEGATIVE VALUE] 3>X>2 ANS. PROOF: LET X=2.5 -2(3+2.5)<4*2.5+4<8*2.5 -2*5.5<10+4<20 -11<14<20
 Travel_Word_Problems/347982: Two airplanes leave the same airport one hour apart going in the same direction. The first airplane is traveling at 400m/h and the second is travelling at 500m/h. How long will the second plane be in the air before overtaking the first? 1 solutions Answer 248820 by checkley77(12569)   on 2010-09-25 19:30:04 (Show Source): You can put this solution on YOUR website!D=RT D=400T FOR THE FIRST PLANE TO LEAVE. D=500(T-1) FOR THE SECOND PLANE. BECAUSE THE DISTANCES ARE THE SAME WE SET THESE 2 EQUATION EQUAL. 400T=500(T-1) 400T=500T-500 400T-500T=-500 -100T=-500 T=-500/-100 T=5 HOURS AFTER THE FIRST PALNE LEAVES THEY WILL MEET. 5-1=4 HOURS THE SECOND PLANE WILL BE IN THE AIR BEFORE OVERTAKING THE FIRST PLANE. PROOF: 400*5=500(5-1) 2,000=500*4 2,000=2,000
 Equations/347989: A trough is 12 feet long, 3 feet deep, and 3 feet wide. Find the depth of the water when the trough contains 70 gallons(1 gallon is about 0.13368 cubic foot).1 solutions Answer 248819 by checkley77(12569)   on 2010-09-25 19:24:14 (Show Source): You can put this solution on YOUR website!12*3*x=36x ft^3 is the volume to be filled. 36x=70*.13368 36x=9.3576 x=9.3576/36 x=.2599 ft. is the depth of the 70 gallons of water. Proof: 12*3*.2599=70*.13368 9.3564=9.3576
 Probability-and-statistics/347994: The Student number at a University consists of 2 letters, followed by 4 digits followed by 2 letters. How many different student numbers are possible if: a. Letters and digits cannot be repeated. b. Letters can be repeated, but digits cannot1 solutions Answer 248817 by checkley77(12569)   on 2010-09-25 19:17:11 (Show Source): You can put this solution on YOUR website!a. 26*25*10*9*8*7*24*23=1,808,352,000 combinations without repeats. b. 26*26*10+9*8*7*26*26=2,303,159,040 combinations with only letter repeats.
 Exponents-negative-and-fractional/348001: Can someone help me solve this problem for an SAT practice test; 3(81/16)^-3/4 I have the answer but don't know how they got it. The answer is 8/9. Thanks1 solutions Answer 248816 by checkley77(12569)   on 2010-09-25 19:11:21 (Show Source): You can put this solution on YOUR website!3(81/16)^-3/4 The exponent (-3.4) changes the term (81/16) to the denominator with positive exponents. 3(1/[fourthrt(81/16)^3] cube the (81/16) term. 3/[fourthrt(532,441/4,096)]find the 4 th root of (532,441/4096) 3/[27/8]) invert the denominator (27/81) & multiply. 3*8/27=24/27=8/9 ans.
 test/347735: 1)the length of a rectangular rug is 1 ft more than the width and a diagonal of the rug is 5 ft. Find the length and the width. 2) one leg of right triangle is 7 cm less than the length of the other leg. The length of the hypotenuse is 13 cm. Find the lengths of the legs1 solutions Answer 248642 by checkley77(12569)   on 2010-09-24 19:49:35 (Show Source): You can put this solution on YOUR website!1) L=W+1 L^2+W^2=5^2 (W+1)^2+W^2=25 W^2+2W+1+W^2=25 2W^2+2W+1-25=0 2W^2+2W-24=0 2(W^2+W-12)=0 (W+4)(W-3)=0 W-3=0 W=3 ANS. L=3+1=4 ANS. PROOF: 4^2+3^2=5^2 16+9=25 25=25
 Rate-of-work-word-problems/347741: two cars leave a intersection at the same time. one is headed south at a constant speed of 30 mph, the other is headed west at a constant speed of 40 mph. what is the distance between the cars in 30 minutes?1 solutions Answer 248641 by checkley77(12569)   on 2010-09-24 19:44:40 (Show Source): You can put this solution on YOUR website!a^2+b^2=c^2 (30*.5)^2+(40*.5)^2=c^2 15^2+20^2=c^2 225+400=c^2 c^2=625 c=sqrt625 c=25 miles apart.
 Linear-equations/347747: Graph: y = 4/5x-71 solutions Answer 248640 by checkley77(12569)   on 2010-09-24 19:41:04 (Show Source): You can put this solution on YOUR website! y = 4/5x-7 y=4x/5-7 (graph 300x200 pixels, x from -6 to 10, y from -10 to 10, 4x/5 -7).
 Pythagorean-theorem/347704: Use the pythagorean Theorem to find the missing length when b=16 and c=201 solutions Answer 248638 by checkley77(12569)   on 2010-09-24 19:34:09 (Show Source): You can put this solution on YOUR website!A^2+B^2=C^2 A^2+16^2=20^2 A^2+256=400 A^2=400-256 A^2=144 A=SQRT144 A=12 ANS. PROOF: 12^2+16^2=20^2 144+256=400 400=400
 Pythagorean-theorem/347707: Please evaluate -(-|-310|)1 solutions Answer 248635 by checkley77(12569)   on 2010-09-24 19:29:45 (Show Source): You can put this solution on YOUR website!-(-|-310|) -(+310)=-310 ans. -(-(+310)) -(-310)=+310 ans.
 Geometry_Word_Problems/347708: The hypotenuse of a right triangle is 22 m long. The length of one leg is 10 m less than the other. Find the lengths of the legs. 1 solutions Answer 248632 by checkley77(12569)   on 2010-09-24 19:26:55 (Show Source): You can put this solution on YOUR website!Let x & x-10 be the 2 sides. x^2+(x-10)^2=22^2 x^2+x^2-20x+100=484 2x^2-20x+100-484=0 2x^2-20x-384=0 2(x^2-10x-192)=0 x=(10+-SQRT[-10^2-4*1*-192])/2*1 x=(10+-sqrt[100+768])/2 x=(10+-sqrt868)/2 x=(10+-29.46)/2 x=39.46/2 x=19.73 ans. x=(10-29.46)/2 x=-19.46/2 x=-9.73 ans.
 Expressions-with-variables/347728: 1 solutions Answer 248625 by checkley77(12569)   on 2010-09-24 19:10:30 (Show Source): You can put this solution on YOUR website! z/6+5/4=z/2-3/4 z/6-z/2=-3/4-5/4 (z-3z)/6=-8/4 -2z/6=-2 -2z=-2*6 -2z=-12 z=-12/-2 z=6 ans. Proof: 6/6+5/4=6/2-3/4 1+5/4=3-3/4 4/4+5/4=12/4-3/4 9/4=9/4
 Expressions-with-variables/347731: 1 solutions Answer 248622 by checkley77(12569)   on 2010-09-24 19:04:08 (Show Source): You can put this solution on YOUR website! 3/p-p+1/p=2p-1/2p-5/6 3/p-p+1/p-2p+1/2p=-5/6 4/p-3p+1/2p=-5/6 4/p+1/2p-3p=-5/6 (4*2+1)/2p-3p=-5/6 (8+1)/2p-3p=-5/6 9/2p-3p=-5/6 (9-2p*3p)/2p=-5/6 (9-6p^2)/2p=-5/6 -5*2p=6(9-6p^2 -10p=54-36p^2 36p^2-10p-54=0 2(18p^2-5p-27)=0 x=(5+-sqrt[-5^2-4*18*-27])/2*18 x=(5+-sqrt[25+1,944])/36 x=(5+-sqrt1,969)/36 x=(5+-44.37)/36 x=(5+44.37)/36 x=49.37/36 x=1.37 ans. x=(5-44.37)/36 x=-39.37/36 x=-1.094 ans.
 Miscellaneous_Word_Problems/347591: During a science experiment, Juanita recorded that she blinked 11 times in one minute. If this is a normal count and Juanita wakes up at 7 A.M and goes to bed at 10 A.M. How many times will she blink during the time she is awake? A 165 B 660 C 9900 D 15,840 1 solutions Answer 248599 by checkley77(12569)   on 2010-09-24 18:04:21 (Show Source): You can put this solution on YOUR website!11 TIMES PER MINUTE=11*60=660 BLINKS PER HOUR. 15*660=9.900 BLINKS PER WAKING PERIOD OF 15 HOURS. ANSWER C).
 Miscellaneous_Word_Problems/347594: The officejet printer can copy a dissertation in 22 min. The Laserjet printer can copy the same document in 8 min. If the two machines work together, how long would they take to copy the dissertion?1 solutions Answer 248596 by checkley77(12569)   on 2010-09-24 18:00:56 (Show Source): You can put this solution on YOUR website!1/22+1/8=1/X (8+22)/(22*8)1/X 30/176=1/X CROSS MULTIPLY. 30X=176 X=176/30 X=5.867 HOURS WORKING TOGETHER. PROOF: 1/22+1/8=1/5.867 (8+22)/22*8=.17 30/176=.17 .17=.17
 Rectangles/347613: a rectangle is 7 times as long as it is wide if the perimeter is 175 what are the dimensions1 solutions Answer 248592 by checkley77(12569)   on 2010-09-24 17:54:02 (Show Source): You can put this solution on YOUR website!L=7W 2L+2W=175 2*7W+2W+175 14W+2W=175 16W=175 W=175/16 W=10.9375 ANS. L=7*10.9375=76.5625 ANS. PROOF: 2*76.5625+2*10.9375=175 153.125+21.875=175 175=175
 Geometry_Word_Problems/347615: A dinner plate fits snugly in a square box with perimeter 48 inches . what is the circumference of the plate ?1 solutions Answer 248586 by checkley77(12569)   on 2010-09-24 17:48:47 (Show Source): You can put this solution on YOUR website!48/4=12 is the lengtth of the sides. 12 inches is the diameter of the circle. C=2PIR C=2*3.14*12/2 C=6.28*6 C=37.68 INCHES ANS.
 Sequences-and-series/347619: 1. . List the terms that complete a possible pattern in each of the following: (a) 38, 33, 28, 23, 18, ____, ____, ____ (b) 640, 320, 160, 80, ____, ____, ____ (c) 7, 8,15, 23, 38, ____, ____, ____ (d) 4, 8, 16, 32, 64, ____, ____, ____ (e) 1, ____, ____, ____, 25, 36, 49 1 solutions Answer 248578 by checkley77(12569)   on 2010-09-24 17:43:54 (Show Source): You can put this solution on YOUR website!(a) 38, 33, 28, 23, 18, 13, 8, 3 (-5) (b) 640, 320, 160, 80, 40, 20, 10 (*.5) (c) 7, 8, 15, 23, 38, 61, 99, 160 (n+n+1) (d) 4, 8, 16, 32, 64, 32, 64, 128 (*2) (e) 1, 4, 9, 16, 25, 36, 49 (n^2)