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# Recent problems solved by 'checkley77'

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 test/162785: This question is from textbook Elementary and Intermediate 104) Venture captial. Henry invested \$12,000 in a new restaurant. When the restaurant was sold two years later, be received \$27,000. Find his average annual return by solving the equation 12,000(1+r)^2 = 27,0001 solutions Answer 119993 by checkley77(12569)   on 2008-10-18 17:06:44 (Show Source): You can put this solution on YOUR website!12,000(1+r)^2 = 27,000 12,000(1+2R+R^2)=27,000 12,000+24,000R+12,000R^2=27,000 12,000R^2+24,000R+12,000-27,000=0 12,000R^2+24,000R-15,000=0 3,000(4R^2+8R-5)=0 3,000(2R-1)(2R+5)=0 2R-1=0 2R=1 R=1/2 OR .5 OR 50% ANNUAL RETURN. PROOF: 12,000(1+.5)^2=27,000 12,000(1.5)^2=27,000 12,000*2.25=27,000 27,000=27,000
 test/162801: This question is from textbook Elementary and Intermediate 2h^2-h-3=01 solutions Answer 119992 by checkley77(12569)   on 2008-10-18 16:58:09 (Show Source): You can put this solution on YOUR website!2h^2-h-3=0 (2H-3)(H+1)=0 2H-3=0 2H=3 H=3/2 ANSWER. H+1=0 H=-1 ANSWER.
 Mixture_Word_Problems/162791: A chemist needs a saline solution that is 20% sodium chloride but only has solutions that are 15% and 40% sodium cholride. If the chemist measures 150mL of the 15% solution, how many milliliters of the 40% solution should she add to make a 20% solution?1 solutions Answer 119990 by checkley77(12569)   on 2008-10-18 16:53:54 (Show Source): You can put this solution on YOUR website!.40X+.15(150-X)=.20*150 .40X+22.5-.15X=30 .25X=30-22.5 .25X=7.5 X=7.5/.25 X=30 ML OF 40% SOLUTION IS USED. 150-30=120 ML OF 15% SOLUTION IS USED. PROOF: .40*30+.15*120=.20*150 12+18=30 30=30
 Travel_Word_Problems/162799: A cattle train left Miami and traveled toward New York. 14 hours later a diesel train left traveling at 45 km/h in an effort to catch up to the cattle train. After traveling for four hours the diesel train finally caught up. What was the cattle train's average? (The answer is 10km/hr; what is step by step solution)?1 solutions Answer 119989 by checkley77(12569)   on 2008-10-18 16:44:08 (Show Source): You can put this solution on YOUR website!D=RT D=45*4 D=180 KILOMETERS IS THE DISTANCE THE DIESEL TRAIN VELED. 180=X(14+4) 180=X*18 X=180/18 X=10 KMH WAS THE SPEED OF THE CATTLE TRAIN.
 Polynomials-and-rational-expressions/162797: This question is from textbook A photo is 3 inches longer than it is wide. A 2 inch border is placed around the photo making the total area of the photo and border 180 square inches. What are the dimensions of the photo?1 solutions Answer 119987 by checkley77(12569)   on 2008-10-18 16:24:37 (Show Source): You can put this solution on YOUR website!(x+4)(x+3+4)=180 the +4 in each term is the border measurement. (x+4)(x+7)=180 x^2+11x+28-180=0 x^2+11x-152=0 (x-8)(x+19)=0 x-8=0 x=8 is the width of the photo. 8+3=11 is the length of the photo. Proof: (8+4)(11+4)=180 12*15=180 180=180
 Miscellaneous_Word_Problems/162794: A car rental company has two rental rates. Rate 1 is \$72 per day plus \$0.16 per mile. Rate 2 is \$144 per day plus \$0.08 per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking rate 2? 1 solutions Answer 119985 by checkley77(12569)   on 2008-10-18 16:18:37 (Show Source): You can put this solution on YOUR website!7*72+.16x>7*144+.08x 504+.16x>1006+.08x .16x-.08x>1006-504 .08x>504 x>504/.08 x>6,300 miles.
 Distributive-associative-commutative-properties/162796: The problem should have been x^2+7x+10=0 not x^2+10=0. And the 6 was not suppose to be in the other problem.1 solutions Answer 119984 by checkley77(12569)   on 2008-10-18 16:12:59 (Show Source): You can put this solution on YOUR website!x^2+7x+10=0 (x+5)(x+2)=0 x+5=0 x=-5 answer. x+2=0 x=-2 answer. Proofs: -5^2+7*-5+10=0 25-35+10=0 35-35=0 0=0 -2^2+7*-2+10=0 4-14+10=0 14-14=0 0=0
 Geometry_Word_Problems/162795: Brothers Matt and Jeph are leaning a 20-foot ladder against their house. If the ladder reaches 15 feet up the house, how far is the bottom of the ladder from the base of the house? Round to the nearest tenth. I tried doing A squared + B squared = C squared and I got 400+225=625 and my answer came out to be 25ft after I found the square root of 625. I just want to know if i'm right.1 solutions Answer 119983 by checkley77(12569)   on 2008-10-18 16:08:43 (Show Source): You can put this solution on YOUR website!x^2+15^2=20^2 x^2+225=400 x^2=400-225 x^2=175 x=sqrt175 x=13.2 feet from the house is the bottom of the ladder.
 Graphs/162725: Please help. Solve by the elimination method. 3x + 4y=3 6x + 8y=6 What is the solution of the system? (Type an ordered pair. Type an integer or a fraction. Type N if there is no solution. Type I if there are infinitely more solutions.) 1 solutions Answer 119955 by checkley77(12569)   on 2008-10-18 09:08:46 (Show Source): You can put this solution on YOUR website!3x + 4y=3 multiply this equation by -2 & add. 6x + 8y=6 -6x-8y=-6 --------------- 0x+y=0 N no solution.
 Geometry_Word_Problems/162735: is9<81 solutions Answer 119954 by checkley77(12569)   on 2008-10-18 09:03:55 (Show Source): You can put this solution on YOUR website!is9<8 NO!. 9>8 or 9 is greater than 8 or 9 is a larger integer than 8 or 9 is a greater number than 8.
 Graphs/162741: are these line parallel perpendicular or neither? 5x+3y=3 3x-5y=91 solutions Answer 119953 by checkley77(12569)   on 2008-10-18 08:59:18 (Show Source): You can put this solution on YOUR website!5x+3y=3 3y=-5x+3 this line has a slope=-5 (red line) 3x-5y=9 -5y=-3x+9 y=-3x/-5+9/-5 y=3x/5-9/5 this line has a slope=-3/5 (green line) (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions -5x +3 and 3x/5 -9/5). These line are neither.
 Polynomials-and-rational-expressions/162743: a. A rectangular parking lot is 100 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 500 ft diagonally. b. Three consecutive odd integers are such that the square of the third is 264 more than the square of the second. Find the three integers.1 solutions Answer 119952 by checkley77(12569)   on 2008-10-18 08:52:31 (Show Source): You can put this solution on YOUR website!(x+100)^2+x^2=500^2 x^2+200x+10,000+x^2=250,000 2x^2+200x+10,000-250,000=0 2x^2+200x-240,000=0 2(x^2+100x-120,000)=0 2(x-300)(x+400)=0 x-300=0 x=300 is the width. 300+100=400 is the length. Proof: 400^2+300^2=250,000 160,000+90,000=250,000 250,000=250,000 ------------------------------------------ let x, x+2 & x+4 be the 3 integers. (x+4)^2=(x+2)^2+264 x^2+8x+16=x^2+4x+4+264 8x-4x=264-16+4 4x=252 x=252/4 x=63 is the smallest integer. 61+2=65 for the middle integer. 61+4=67 is the largest integer. Proof: 67^2=65^2+264 4,489=4,225+264 4,489=4,489
 Graphs/162745: 8x-(5x+7)=8 Solve this equation1 solutions Answer 119951 by checkley77(12569)   on 2008-10-18 08:34:34 (Show Source): You can put this solution on YOUR website!8x-(5x+7)=8 8x-5x-7=8 3x=8+7 3x=15 x=15/3 x=5 answer.
 Polygons/162714: What are the possible values of the third side of a triangle if the measure of two of its sides are 9 and 14?1 solutions Answer 119937 by checkley77(12569)   on 2008-10-17 22:09:25 (Show Source): You can put this solution on YOUR website!9^2+14^2=x^2 81+196=x^2 x^2=277 x=sqrt277 x=16.6433 answer. 9^2+x^2=14^2 81+x^2=196 x^2=196-81 x^2=115 x=sqrt115 x=10.7238 answer.
 Polygons/162715: Find the measure of the third angle of a right triangle if one of its acute angles has a measure of 47.1 solutions Answer 119936 by checkley77(12569)   on 2008-10-17 22:05:36 (Show Source): You can put this solution on YOUR website!47+x+90=180 x=180-90-47 x=43 degrees is the missing angle.
 Coordinate-system/162704: Find the coordinates of the x and y intercept. x=y1 solutions Answer 119935 by checkley77(12569)   on 2008-10-17 22:00:47 (Show Source): You can put this solution on YOUR website!x=y y=x (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, y = x). x & y intercepts are: (0,0)
 Graphs/162717: Graph the equation and identify the y-intercept y=5x-91 solutions Answer 119934 by checkley77(12569)   on 2008-10-17 21:55:26 (Show Source): You can put this solution on YOUR website!y=5x-9 The y intercept=-9 . (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 5x -9).
 Proportions/162718: Is this right? 5 is to 12 as x is to 48. I got x=201 solutions Answer 119933 by checkley77(12569)   on 2008-10-17 21:52:50 (Show Source): You can put this solution on YOUR website!5 is to 12 as x is to 48 5/12=x/48 12x=5*48 12x=240 x=240/12 x=20 answer.
 Pythagorean-theorem/162719: a mover must put a circular mirror two meters in diameter through a one meter by 1.8 meter doorway. find the lenght of the diagonal of the doorway. will the mirror fit? please help:)!1 solutions Answer 119932 by checkley77(12569)   on 2008-10-17 21:49:35 (Show Source): You can put this solution on YOUR website!1^2+1.7^2=x^2 1+3.24=x^2 x^2=4.24 x=sqrt4.24 x=2.06 meters. Looks like a fit.
 Polynomials-and-rational-expressions/162581: heres another. i dont get it when there on each side of the equal sign -2(x+11)=-x+10 oh and 3(y+6)=2y+14 and i have to check which i also dont understand! 1 solutions Answer 119823 by checkley77(12569)   on 2008-10-16 19:50:26 (Show Source): You can put this solution on YOUR website!-2(x+11)=-x+10 -2x-22=-x+10 -2x+x=10+22 -x=32 answer. x=-32 Proof: -2(-32+11)=-(-32)+10 -2*-21=32+10 42=42 -------------------------------- 3(y+6)=2y+14 3y+18=2y+14 3y-2y=14-18 y=-4 answer. Proof: 3(-4+6)=2(-4)+14 3*2=-8+14 6=6
 Numeric_Fractions/162549: A can of cola costs x pence. An ice cream costs y pence. Atif buys 3 cans of cola and 2 ice creams. Write down an expression, in terms of x and y, for the total cost, in pence. 1 solutions Answer 119822 by checkley77(12569)   on 2008-10-16 19:43:53 (Show Source): You can put this solution on YOUR website!3x+2y= total pence.
 Miscellaneous_Word_Problems/162550: It took Betsy 10 min more to walk home from school than it took him to walk to school from home. If his total walking time from home to school and back again was 54 min, how long did it take him to walk to school? -please show in an algebraic equation.1 solutions Answer 119821 by checkley77(12569)   on 2008-10-16 19:41:42 (Show Source): You can put this solution on YOUR website!x+x+10=54 2x=54-10 2x=44 x=44/2 x=22 minutes to get to school & 22+10=32 minutes to walk home from school.
 Linear-systems/162552: 2v + 18 = 16 - 4(v + 7)1 solutions Answer 119820 by checkley77(12569)   on 2008-10-16 19:37:31 (Show Source): You can put this solution on YOUR website!2v + 18 = 16 - 4(v + 7) 2v+18=16-4v-28 2v+4v=16-28-18 6v=-30 v=-30/6 v=-5 answer. Proof: 2(-5)+18=16-4(-5+7) -10+18=16-4*2 8=16-8 8=8
 Numeric_Fractions/162578: This question is from textbook -3x=5/61 solutions Answer 119818 by checkley77(12569)   on 2008-10-16 19:33:27 (Show Source): You can put this solution on YOUR website!-3x=5/6 x=(5/6)/-3 x=(5/6)(-1/3) x=-5/6*3 x=-5/18 answer. Proof: -3(-5/18)=5/6 15/18=5/6 18*5=15*6 90=90
 Equations/162572: This question is from textbook math makes sence 9.jason works at a fish and chips resoront. he earns \$7/h during a week, and\$9/h on the weekend a)jason works8 h during the week and 5 h on the weekend. write an expression for his earnings.1 solutions Answer 119817 by checkley77(12569)   on 2008-10-16 19:30:39 (Show Source): You can put this solution on YOUR website!7*8+9*5=56+45=\$101 is his earnings.
 Polynomials-and-rational-expressions/162573: cant figure out 4(x-2)=4 i know the answers three but no matter what i do i dont get three1 solutions Answer 119815 by checkley77(12569)   on 2008-10-16 19:28:10 (Show Source): You can put this solution on YOUR website!4(x-2)=4 4x-8=4 4x=4+8 4x=12 x=12/4 x=3 answer.
 Numbers_Word_Problems/162575: Find four consecutive odd integers have a sum of 120. What are the integers?1 solutions Answer 119814 by checkley77(12569)   on 2008-10-16 19:26:47 (Show Source): You can put this solution on YOUR website!let x, x+2, x+4, x+6 be the 4 integers. x+x+2+x+4+x+6=120 4x+12=120 4x=120-12 4x=108 x=108/4 x=27 for the first integer. 27+2=29 for the next one. 27+4=31 for the next. 27+6=33 for the largest. Proof: 27+29+31+33=120 120=120
 percentage/162576: 28 is 70% of what number?1 solutions Answer 119812 by checkley77(12569)   on 2008-10-16 19:23:00 (Show Source): You can put this solution on YOUR website!28/.7=40 answer.
 Matrices-and-determiminant/162569: Question 162554: 9. (4, -10), (1, -1) x y 1 x y 4 -10 1 4 -10 1 -1 1 1 -1 (x)(-10)(1)+(y)(1)(1)+(1)(4)(-1)+(1)(-10)(1)-(-1)(1)(x)-(1)(4)(y)= -10x+y+(-4)-(-10)-(-x)-4y= -9x-3y+6=0 -9x-3y=-6 -3y+(-9x)=-6 -3y=-6+9x -y=2+3x Y=-3x-2 Can you find my sign error? Im sure im just overlooking something,but I can't find it. Thank you so much! checkley77 was nice enough to try to help me,but im still confused. I see that instead of (x)(-10)(1)+(y)(1)(1)+(1)(4)(-1)+(1)(-10)(1)-(-1)(1)(x)-(1)(4)(y)= I needed to have (x)(-10)(1)+(y)(1)(1)+(1)(4)(-1)-(1)(-10)(1)-(-1)(1)(x)-(1)(4)(y)= But I want to know if that effects my answer? Is Y=-3x-2 correct?1 solutions Answer 119810 by checkley77(12569)   on 2008-10-16 19:19:49 (Show Source): You can put this solution on YOUR website!I needed to have (x)(-10)(1)+(y)(1)(1)+(1)(4)(-1)-(1)(-10)(1)-(-1)(1)(x)-(1)(4) -10x+y+(-4)-(-10)-(-x)-4y=0 this becomes: -10x+y-4+10+x-4y=0 -3y-9x+6=0 -3y=9x-6 y=9x/-3-6/-3 (y)=-3x+2 But I want to know if that effects my answer? Is Y=-3x-2 correct. I assumed you would complete the solution after the correction was provided??????
 Surface-area/162567: What is the surface area of a box whose dimensions are 7 feet by 8 feet by 6 feet?1 solutions Answer 119808 by checkley77(12569)   on 2008-10-16 19:10:55 (Show Source): You can put this solution on YOUR website!2(7*8)+2(8*6)+2(7*6)=2*56+2*48+2*42=112+96+84=292 ft^2
 Square-cubic-other-roots/162553: 1)Solve the following by factoring: a) x^2+7x+10=0 b) 3x^2-6x=0 1 solutions Answer 119805 by checkley77(12569)   on 2008-10-16 19:05:35 (Show Source): You can put this solution on YOUR website!a) x^2+7x+10=0 (x+5)(x+2)=0 x+5=0 x=-5 answer. x=2=0 x=-2 answer. ---------------------------- b) 3x^2-6x=0 3x(x-2)=0 3x=0 x=0 answer. x-2=0 x=2 answer.