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# Recent problems solved by 'checkley77'

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 Functions/309595: I AM SUCH AN IDIOT. I NEED HELP WITH EVERYTHING ABOUT ALGEBRA. I DON'T UNDERSTAND ANYTHING. INEVER UNDERSTOOD ANYTHING. HELP ME. 1) x^2-2x-7= sqrt (5) 2) 3/5 = sqrt (9) 3) 56x -18x+ x^2= 17 4) sqrt (9) = sqrt (35) 1 solutions Answer 221488 by checkley77(12569)   on 2010-05-29 18:50:18 (Show Source): You can put this solution on YOUR website!ARE YOU SURE YOU HAVE COPIED THESE PROPLEMS CORRECTLY??? SOME OF THEM DON'T MAKE ANY SENSE (NUMBERS 2 & 4). -------------------------------------------------------- 1) x^2-2x-7= sqrt (5) X^2-2X-7-2.236=0 X^2-2X-9.236=0 USING THE QUADRATIC EQUATION BELOW WE GET: X=(2+-SQRT[-2^2-4*1*-9.236])/2*1 X=(2+-SQRT[4+36.944)/2 X=(2+-SQRT40.944)/2 X=(2+-6.399)/2 X=(2+6.399)/2 X=8.399/2 X=4.199 ANS. X=(2-6.399)/2 X=-4.399/2 X=-2.199 ANS. 2) 3/5 = sqrt (9) 3/5=3 3=5*3 3=15 DOES NOT COMPUTE. 3) 56x -18x+ x^2= 17 38X+X^2-17=0 X^2+38X-17=0 X=(-38+-SQRT[38^2-4*1*-17])/2*1 X=(-38+-SQRT[1,444+68])/2 X=-38+-SQRT1,512)/2 X=(-38+-38.88)/2 X=(-38+38.88)/2 X=.88/2 X=.44 ANS. X=(-38-38.88)/2 X=76.88/2 X=-38.44 ANS. 4) sqrt (9) = sqrt (35) 3=5.91 DOES NOT COMPUTE.
 Linear-equations/309598: If the vertical line of a triangle is 24m and the bottom horizontal line is 10m, then what would the missing length be? Help please & thanks 1 solutions Answer 221483 by checkley77(12569)   on 2010-05-29 18:29:09 (Show Source): You can put this solution on YOUR website!IF THE VERTICLE LINE IS ONE OF THE SIDES & IT'S A RIGHT TRIANGLE THEN: 10^2+24^2=C^2 100+576=C^2 C^2=676 C=SQRT676 C=26 m. iF THE VERTICLE ANGLE IS THE MIDDLE HEIGHT OF THE TRIANGLE THEN: 5^2+24^2=C^2 25+576=C^2 C^2=601 C=SQRT601 C=24.5m. ALL OTHER VERTICLE LINES WILL RESULT IN THE THIRD SIDE BEING BETWEEN 24.5M. & 26 m.
 Mixture_Word_Problems/309605: A rectangle is 5 times as long as it is wide. If the are is 125 square feet, find its perimeter?1 solutions Answer 221479 by checkley77(12569)   on 2010-05-29 18:18:49 (Show Source): You can put this solution on YOUR website!L=5W AREA=LW 125=5W*W 125=5W^2 W^2=125/5 W^2=25 W=SQRT25 W=5 ANS. FOR THE WIDTH. L=5*5=25 ANS. FOR THE LENGTH.
 test/309608: -49=x -501 solutions Answer 221478 by checkley77(12569)   on 2010-05-29 18:16:26 (Show Source): You can put this solution on YOUR website!-49=x -50 x=-49+50 x=1 ANS.
 Quadratic_Equations/309616: For the Equation 4X^2-100=0, did I do my work right? 4X^2-100=0 +100 +100 4X^2=100 /4 /4 X^2=25 My teacher said that if it was a prime number or if it had no perfect square you could leave it as it is is this true and is my answer right? Thank you 1 solutions Answer 221477 by checkley77(12569)   on 2010-05-29 18:14:18 (Show Source): You can put this solution on YOUR website!4X^2-100=0 +100 +100 4X^2=100 /4 /4 X^2=25 YOUR ANSWER IS CORRECT SO FAR BUT: NO YOU CAN'T QUIT NOW BECAUSE 25 IS A PERFECT SQUARE AND THE ANSWER IS: X=SQRT25 X=5 ANS.
 Rectangles/309618: what is the diagonal length of a rectangle 10 feet by 12 feet 1 solutions Answer 221476 by checkley77(12569)   on 2010-05-29 18:09:57 (Show Source): You can put this solution on YOUR website!YOU HAVE A RIGHT TRIANGLE WITH SIDES 10,12 & X 10^2+12^2=X^2 100+144=X^2 244=X^2 X^2=244 X=SQRT244 X=15.62 ANS. FOR THE DIAGONAL.
 test/309623: The length of a new rectangular field is 7 yards longer than triple the width. If the perimeter of the rectangular playing field is 470 yards what are its dimensions?1 solutions Answer 221475 by checkley77(12569)   on 2010-05-29 18:06:08 (Show Source): You can put this solution on YOUR website!L=3W+7 P=2L+2W 470=2(3W+7)+2W 470=6W+14+2W 470=8W+14 8X=470-14 8W=456 W=456/8 W=57 YDS. IS THE WIDTH. L=3*57+7=178 YDS. FOR THE LENGTH. PROOF: 470=2*178+2*57 470=356+114 470=470
 Triangles/309624: In a isosceles triangle ABC, b is the vertex. the vertex angle measures 3 times the sum of the measures of the other 2 angles. what is the measure of angle b? is it 36 is it 72 is it 108 is it 135 i need help soon as possible 1 solutions Answer 221474 by checkley77(12569)   on 2010-05-29 18:01:53 (Show Source): You can put this solution on YOUR website!b=3*2a b+a+a=180 3*2a+2a=180 6a+2a=180 8a=180 a=180/8 a=22.5 degrees for the other 2 angles. b+2*22.5=180 b+45=180 b=180-45 b=135 degres for the apex angle.
 Linear-equations/309625: find the slope, if it exists, on the lines containing points (6,2) and (7,-5) simplify your answer. type and integer or an fraction.type n if there is no slope 1 solutions Answer 221473 by checkley77(12569)   on 2010-05-29 17:53:04 (Show Source): You can put this solution on YOUR website!(6,2) and (7,-5) slope=(y2-y1)/(x2-x1) slope=(-5-2)/(7-6)=-7/1=-7 ans. for the slope. Y=mX+b 2=-7*6+b 2=-42+b b=2+42 b=44 ans. for the Y intercept. y=-7x+44 (graph 300x200 pixels, x from -6 to 10, y from -10 to 50, -7x +44)
 Permutations/309629: a popular model of car is being offered in 4 body styles, 3 types of engins, and 5 metal flake paint schemes. how many cars are needed to display all possible option variations?1 solutions Answer 221472 by checkley77(12569)   on 2010-05-29 17:48:00 (Show Source): You can put this solution on YOUR website!4*3*5=60 different models are needed.
 test/309630: factor the trinomial if possible. if it cannot be factored, write not factorable 4n^2-26n-421 solutions Answer 221471 by checkley77(12569)   on 2010-05-29 17:46:24 (Show Source): You can put this solution on YOUR website!4n^2-26n-42 2(2n^2-13n-21) ans. unless you want to use the quadratic formula. Then n=(1.35 & -.737)
 Probability-and-statistics/309636: Please Help. Im stuck on a problem where you must find the number of possible 5-card hands that contain the cards specified. 4 aces and 1 card. This chapter is about combinations. 1 solutions Answer 221470 by checkley77(12569)   on 2010-05-29 17:35:38 (Show Source): You can put this solution on YOUR website!4/52*3/51*2/50*1/49 24/6,497,400 1/270,725 or.0000036 probability of the 4 aces.
 Equations/309639: I need help finding the real solution to this equation. 3v2 + 4v - 1 = 01 solutions Answer 221469 by checkley77(12569)   on 2010-05-29 17:25:43 (Show Source): You can put this solution on YOUR website!3v2 + 4v - 1 = 0 v=(-4+-sqrt[4^2-4*3*-1])/2*3 v=(-4+-sqrt16+12)/6 v=(-4+-sqrt28)/6 v=(-4+-5.29)/6 v=(-4+5.29)6 v=1.29/6 v=.215 ans v=(-4-5.29)/6 v=-9.29/6 v=1.548 ans.
 Equations/309643: I need help finding the real solution to this equation. (1/2)x2 + x = 11 solutions Answer 221468 by checkley77(12569)   on 2010-05-29 17:19:31 (Show Source): You can put this solution on YOUR website!(1/2)x2 + x = 1 X^2/2+X-1=0 .5X^2+X-1=0 X=(-1+-[SQRT1^2-4*.5*-1])/2*.5 X=(-1+-SQRT[1+2)/1 X=-1+-SQRT3 X=-1+-1.732 X=1+1.732 X=.732 ANS. X=-1-1.732 X=-2.732 ANS.
 Equations/309645: I need help finding the real solution to this equation. 3.67x2 + 4.35x - 2.13 = 01 solutions Answer 221467 by checkley77(12569)   on 2010-05-29 17:14:11 (Show Source): You can put this solution on YOUR website!3.67x2 + 4.35x - 2.13 = 0 X=(-4.35+-SQRT[4.35^2-4*3.67*-2.13])/2*3.67 X=(-4.35+-SQRT[18.9225+31.2684])/7.34 X=(-4.35+-SQRT[50.1909)/7.34 X=(-4.35+-7.08455)/7.34 X=(-4.35+7.08455)/7.34 X=2.73455/7.34 X=.3726 ANS. X=(-4.35-7.08455)/7.34 X=-11.43455/7.34 X=-1.5578 ANS.
 Geometry_Word_Problems/309646: The Golden Ratio. The anceint greeks thought that the most pleasing shape for a rectangle was one for which the ratio fo the length to the width was approximately 8 to 5, the golden ratio. If the length of a rectangular painting is 2 ft longer thann it's width, then for what demensions would the length and width have the golden ratio? 1 solutions Answer 221466 by checkley77(12569)   on 2010-05-29 17:04:44 (Show Source): You can put this solution on YOUR website!L/W=8/5 8/5=(X+2)/X 8X=5(X+2) 8X=5X+10 8X-5X=10 3X=10 X=10/3 X=3.33 ANS. FOR THE WIDTH. PROOF: 8/5=(3.33+2)/3.33 8/5=5.33/3.33 8*3.33=5*5.33 26.64~26.65
 Geometric_formulas/309647: A rectangle is 5 times as lon as it is wide. If the area is 125 square feet, find the perimeter.1 solutions Answer 221465 by checkley77(12569)   on 2010-05-29 16:59:31 (Show Source): You can put this solution on YOUR website!L=5W LW=125 5W*W-125 5W^2=125 W^2=125/5 W^2=25 W=SQRT25 W=5 ANS. FOR THE WIDTH. L=5*5=25 ANS FOR THE LENGTH. PROOF: 5*25=125 125=125
 Equations/309650: I need help to simplify the products and I've exact answers. (3sqrt3 - sqrt2)(sqrt2 + sqrt3)1 solutions Answer 221464 by checkley77(12569)   on 2010-05-29 16:56:06 (Show Source): You can put this solution on YOUR website!(3sqrt3 - sqrt2) (sqrt2 + sqrt3) ------------------- 3sqrt6-2+3*3-sqrt6 -2+9+2sqrt6 7+2sqrt6 7+2*2.449 7+4.898=11.898 ans.
 Equations/309651: I need to simplify the products and give exact answers. (sqrt5 + 2)(sqrt5 - 6)1 solutions Answer 221463 by checkley77(12569)   on 2010-05-29 16:51:19 (Show Source): You can put this solution on YOUR website!(sqrt5 + 2) (sqrt5 - 6) -------------- 5+2sqrt5-6sqrt5-12 -7-4sqrt5 -7-4*2.236 -7-8.944=-15.944 ans.
 Equations/309655: I need to use the product and quotient rules to simplify. √98/91 solutions Answer 221462 by checkley77(12569)   on 2010-05-29 16:46:20 (Show Source): You can put this solution on YOUR website!sqrt(98/9) sqrt(49*2)/(3*3) sqrt(7*7*2)/(3*3) 7/3sqrt2 ans.
 Rate-of-work-word-problems/309656: It takes Mary 4 hours to clean the house. John can clean the house in 6 hours. Working together, how long does it take to clean the house? What formula do you use to solve this problem?1 solutions Answer 221461 by checkley77(12569)   on 2010-05-29 16:43:02 (Show Source): You can put this solution on YOUR website!1/4+1/6=1/x (6+4)/4*6=1/x 10/24=1/x 10x=24 x=24/10 x=2.4 hours working together they can clean the house.
 Equations/309658: I need to find the exact answer and simplify it using the rules for radicals. Diagonal of a patio. Find the length of the diagonal of a square patio with an area of 40 square meters. Basic facts: 1. Area of a square = side2 2. Diagonal of a square = √2*side2 1 solutions Answer 221460 by checkley77(12569)   on 2010-05-29 16:40:07 (Show Source): You can put this solution on YOUR website!x^2=40 x=sqrt40 x=6.325 ans. for the length of the sides. s^2+s^2=d^2 2s^2=d^2 2*6.325^2=d^2 2*40=d^2 80=d^2 d=sqrt80 d=8.945 ans. for the diagonal of the square.
 Square-cubic-other-roots/309659: what is 2x cubed times 8x to the fifth power divided by 4x to the sixth power 1 solutions Answer 221459 by checkley77(12569)   on 2010-05-29 16:24:23 (Show Source): You can put this solution on YOUR website!2x^3*8x^5/4x^6 16x^8/4x^6 4x^(8-6) 4x^2 ans.
 Equations/309662: I need help finding the real solution to this equation. q2 + 6q - 7 = 0 1 solutions Answer 221458 by checkley77(12569)   on 2010-05-29 16:20:54 (Show Source): You can put this solution on YOUR website!There are 2 real solutions here: q2 + 6q - 7 = 0 (q+7)(q-1)=0 q+7=0 q=-7 ans. q-1=0 q=1 ans. (-7 & 1)
 Linear-equations/309664: Determine the slope of the following linear equation. 5x-3y+9=01 solutions Answer 221457 by checkley77(12569)   on 2010-05-29 16:15:15 (Show Source): You can put this solution on YOUR website!5x-3y+9=0 -3y=-5x-9 y=-5x/-3-9/-3 y=-5x/-3+3 The slope=5/3
 Geometry_Word_Problems/309665: The perimeter of Triangle ABC is 306 inches. Find the lengths of the sides. My problem is that I am not sure what formula to use. AB=_____ in BC=_______in AC=______in1 solutions Answer 221456 by checkley77(12569)   on 2010-05-29 16:13:05 (Show Source): You can put this solution on YOUR website!Without any additional information there are an infinite number of solutions to this probnlem. a+b+c=306 102+102+102=306 is one solution. 103+101+102=306 is another solution. 101+101+104=306 is a third solution. 104+104+98=306 is a fourth solution. And there are many many more.
 Equations/309532: the permiter of a rectangle is 164m and the length is 7m more than twice the width, could you show me how to find the width and the length?1 solutions Answer 221386 by checkley77(12569)   on 2010-05-28 20:28:06 (Show Source): You can put this solution on YOUR website!P=2L+2W L=2W+7 164=2(2W+7)+2W 164=4W+14+2W 6W=164-14 6W=150 W=150/6 W=25 ANS. FOR THE WIDTH. L=2*25+7 L=50+7=57 ANS. FOR THE LENGTH. PROOF: 164=2*57=2*25 164=114+50 164=164
 Equations/309533: three times as many units of plywood is sold as lumber, the profit on the lumber is \$25 per unit and the profit on the plywood is \$40 per unit could you show me how to find how many units of lumber and plywood would be produced and sold to make a profit of \$14,7901 solutions Answer 221385 by checkley77(12569)   on 2010-05-28 20:22:48 (Show Source): You can put this solution on YOUR website!3X*40+X*25=14,790 120X+25X=14,790 145X=14,790 X=14,790/145 X=102 PIECES OF LUMBER WAS SOLD. 3*102=306 PIECES OF PLYWOOD WERE SOLD. 3*102*40+102*25=14,790 12,240+2,550=14,790 14,790=14,790
 Coordinate-system/309257: Trying to understand what does the intercept means1 solutions Answer 221157 by checkley77(12569)   on 2010-05-27 20:34:09 (Show Source): You can put this solution on YOUR website!Graphing has an X & a Y line. Wherever a line or a curve crosses either of these lines, that point is called the intercept.
 Polynomials-and-rational-expressions/309163: company A rents copiers for a monthly charge of \$250 plus 10 cents per copy. Company B rents copiers for a monthly charge of \$500 plus 5 cents per copy. What is the number of copies above which company A's charges are the higher of the two?1 solutions Answer 221156 by checkley77(12569)   on 2010-05-27 20:31:47 (Show Source): You can put this solution on YOUR website!250+.10x>500+.05x .10x-.05x>500-250 .05x>250 x>250/.05 x>5,000 copies is the same cost for Co.A & B. More than 5,000 copies Co. a will be more expensive. Proof: Let copies be=5,001 250+.10*5,001>500+500+.05*5,001 250+500.1>500+25.005 750.01>750.005
 Polynomials-and-rational-expressions/309226: 9x squareed -18x+81=01 solutions Answer 221145 by checkley77(12569)   on 2010-05-27 20:01:21 (Show Source): You can put this solution on YOUR website!9x^2-18x+81=0 9(x^2-2x+9)=0 x=(2+-sqrt[-2^2-4*1+9])/2*1 x=(2+-sqrt[4-36])/2 x=(2+-sqrt-32)/2 x=(2+--5.657i)/2 x=2/2+-5.657i/2 x=1+-2.828i ans.