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# Recent problems solved by 'checkley77'

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 Polynomials-and-rational-expressions/155512: y-6<101 solutions Answer 114593 by checkley77(12569)   on 2008-09-07 19:57:07 (Show Source): You can put this solution on YOUR website!y-6<10 y<10+6 y<16 Proof: let y=15.9 15.9-6<10 9.9<10
 Exponents/155518: 10x to the 2nd power plus x to the 2nd power equals?1 solutions Answer 114592 by checkley77(12569)   on 2008-09-07 19:55:13 (Show Source): You can put this solution on YOUR website!(10X)^2+X^2=100X^2+X^2=101X^2 Answer.
 Age_Word_Problems/155568: Lucy is 4 times as old as Amy. Three years ago, Lucy was 13 times as old as Amy. How old is Lucy now?1 solutions Answer 114590 by checkley77(12569)   on 2008-09-07 19:52:57 (Show Source): You can put this solution on YOUR website!L=4A 4A-3=13(A-3) 4A-3=13A-39 4A-13A=-39+3 -9A=-36 A=-36/-9 A=4 IS THE AGE OF AMY. L=4*4=16 IS THE AGE OF LUCY. PROOF: 16-3=13(4-3) 13=13*1 13=13
 Inequalities/155569: This question is from textbook Algebra 2 with Trigonometry (x+3) / (x-3) > 0 I have the solution, but don't understand how to get there. I understand that multiplying both sides by (x-3) means that x+3 > 0. I do not understand how x-3>0 as well.1 solutions Answer 114589 by checkley77(12569)   on 2008-09-07 19:45:36 (Show Source): You can put this solution on YOUR website!(x+3)/(x-3)>0 MULTIPLY BOTH SIDES BY (X-3). (X+3)>(X-3) SUBTRACT X FROM BOTH SIDES. 3>-3 ANSWER.
 Probability-and-statistics/155523: A fair coin is tossed 5 times. What is the probability of obtaining exactly 3 heads? How do I work this out in steps?1 solutions Answer 114588 by checkley77(12569)   on 2008-09-07 19:41:20 (Show Source): You can put this solution on YOUR website!You could make a table with all possible outcomes thus: THERE ARE 32 POSSIBLE OUTCOMES (2^5=32). EXACTLY 3 HEADS ARE 10 OUT OF 32 [AS SHOWN BELOW] 0R 10/32=31.25% OF THE TIME. H H H T T H H T H T H T H H T T H H H T H H T T H H T T H H T H T H H T T H H H T H H T H H T H T H
 Problems-with-consecutive-odd-even-integers/155527: Gwen bought a new Toyota Corolla. The selling price plus the 8% state sales tax was \$15,714. What was the selling price? 1 solutions Answer 114585 by checkley77(12569)   on 2008-09-07 19:23:20 (Show Source): You can put this solution on YOUR website!1.08x=15,714 x=15,714/1.08 x=\$14,550 Was the selling price before the tax.
 Linear-systems/155533: Please help me solve this system of linear equations : 2x-10y=1 3x-15y=41 solutions Answer 114583 by checkley77(12569)   on 2008-09-07 19:19:06 (Show Source): You can put this solution on YOUR website!2x-10y=1 -10y=-2x+1 y=-2x/-10+1/-10 y=x/5-1/10 (red line) 3x-15y=4 -15y=-3x+4 y=-3x/-15+4/-15 y=x/5-4/15 (green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions x/5 -1/10 and x/5 -4/15).
 Graphs/155536: Draw the graph of a line with y-intersept 5 and slope of 7/5.1 solutions Answer 114579 by checkley77(12569)   on 2008-09-07 19:14:19 (Show Source): You can put this solution on YOUR website!Y=mX+b Where m=slope & b= the y intercept. y=7x/5+5 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 7x/5 +5).
 Linear-equations/155537: Find the slope of the given line, if it is defined y=-3/2x+-4 How do I solve this problem1 solutions Answer 114578 by checkley77(12569)   on 2008-09-07 19:12:17 (Show Source): You can put this solution on YOUR website!Y=mX+b Is the line equation where m=slope. y=-3/2x+-4 -3/2 Is the slope of this line. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -3x/2 +4). y=-3x/2-4 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -3x/2 -4).
 Quadratic_Equations/155538: Are these parallel x+11=y and y-x=-7 What is the slope of the line x+11=y1 solutions Answer 114577 by checkley77(12569)   on 2008-09-07 19:08:03 (Show Source): You can put this solution on YOUR website!The line equation is: Y=mX+b where m=slope x+11=y y=x+11 has a slope=1. y-x=-7 y=x-7 has a slope=1 Therefore these 2 lines are parallel.
 Polynomials-and-rational-expressions/155562: This question is from textbook I am currently working on factoring trinomials. I need help factoring the equation: This problem comes from the Intermediate Algebra: Graphs and Functions (Third Edition) by the Houghton-Miffler Company. Chapter 1, section 4, page 48, problem number 32. Please help me and thank you very much.1 solutions Answer 114576 by checkley77(12569)   on 2008-09-07 19:06:49 (Show Source): You can put this solution on YOUR website!2x^2-6x+2 Using the quadratic equatio: we get: x=(6+-sqrt[-6^2-4*2*2])/2*2 x=(6+-sqrt[36-16])/4 x=(6+-sqrt20}/4 x=(6+-4.472)/4 x=(6+4.472)/4 x=10.472/4 x=2.618 Answer. x=(6-4.472)/4 x=1.528/4 x=.382 Answer.
 Quadratic_Equations/155539: Are these parallel x+11=y and y-x=-7 What is the slope of the line x+11=y1 solutions Answer 114574 by checkley77(12569)   on 2008-09-07 19:00:50 (Show Source): You can put this solution on YOUR website!The line equation is: Y=mX+b where m=slope x+11=y y=x+11 has a slope=1. y-x=-7 y=x-7 has a slope=1 Therefore these 2 lines are parallel.
 Rational-functions/155540: Use square roots or factoring to solve each equation. (8y^2)+(5y)=(2y^2)+(4)1 solutions Answer 114573 by checkley77(12569)   on 2008-09-07 18:57:49 (Show Source): You can put this solution on YOUR website!(8y^2)+(5y)=(2y^2)+(4) 8y^2+5y=2y^2+4 8y^2-2y^2+5y-4=0 6y^2+5y-4=0 (2y-1)(3y+4)=0 2y-1=0 2y=1 y=1/2 or .5 Answer. 3y+4=0 3y=-4 y=-4/3 or -1.333 Answer.
 Linear_Algebra/155560: 2x+3/5 = x-4 / 21 solutions Answer 114571 by checkley77(12569)   on 2008-09-07 18:51:27 (Show Source): You can put this solution on YOUR website!2x+3/5=x-4/2 2x+3/5=x-2 2x-x=-2-3/5 x=(-2*5-3)/5 x=(-10-3)/5 x=-13/5 Answer. Proof: 2*-13/5+3/5=-13/5-2 -26/5+3/5=(-13-2*5)/5 -23/5=(-13-10)/5 -23/5=-23/5
 Linear-equations/155541: Find the slope of the given line, if it is defined y=x+1/6 How do I solve this problem1 solutions Answer 114570 by checkley77(12569)   on 2008-09-07 18:46:11 (Show Source): You can put this solution on YOUR website!Y=mX+b where m=slope y=x+1/6 in this equation the slope=1. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x +1/6).
 Rational-functions/155542: 2(n^2 - 20)+17n= -10n^21 solutions Answer 114567 by checkley77(12569)   on 2008-09-07 18:43:15 (Show Source): You can put this solution on YOUR website!2(n^2 - 20)+17n= -10n^2 2n^2-40+17n+10n^2=0 12n^2+17n-40=0 (3n+8)(4n-5)=0 3n+8=0 3n=-8 n=-8/3 answer. 4n-5=0 4n=5 n=5/4 answer.
 Triangles/155557: The sides of a triangle are in the ration 5 : 12 : 13. What is the length of each side of the triangle if the perimeter of the triangle is 15 in.?1 solutions Answer 114564 by checkley77(12569)   on 2008-09-07 18:39:10 (Show Source): You can put this solution on YOUR website!15/(5+12+13)15/30=.5 Which is the reduction factor for all sides. Thus: 5*.5+12*.5+13*.5=15 Proof: 2.5+6+6.5=15 15=15
 Rational-functions/155543: Use square roots or factoring to solve the equation. 1/3(x+2)^2= 3/41 solutions Answer 114562 by checkley77(12569)   on 2008-09-07 18:35:34 (Show Source): You can put this solution on YOUR website!1/3(x+2)^2= 3/4 (x^2+4x+4)/3=3/4 cross multiply 4(x^2+4x+4)=3*3 4x^2+16x+16=9 4x^2+16x+16-9=0 4x^2+16x+7=0 (2x+7)(2x+1)=0 2x+7=0 2x=-7 x=-7/2 x=-3.5 Answer. 2x+1=0 2x=-1 x=-1/2 x=-.5 Answer.
 Linear_Equations_And_Systems_Word_Problems/155555: This question is from textbook betsy recquires \$6000 per year in extra income. She has \$50,000 to invest and can invest in B-rated bonds paying 15% a year or in a certificate of deposit(CDs) paying 7% per year. how much money should be invested in each to relaize exactly \$6000 in interest per year? 1 solutions Answer 114557 by checkley77(12569)   on 2008-09-07 18:28:24 (Show Source): You can put this solution on YOUR website!.15x+.07(50,000-x)=6,000 .15x+3,500-.07x=6,000 .08x=6,000-3,500 .08x=2,500 x=2,500/.08 x=\$31,250 Should be invested @ 15% 50,000-31,250=\$18,750 Should be invested @ 7%. Proof: .15*31,250+.07*18,750=6,000 4.687.50+1,312.50=6,000 6,000=6,000
 Quadratic_Equations/155553: i need help with this question. i don't understand how to do it. 1 solutions Answer 114556 by checkley77(12569)   on 2008-09-07 18:23:33 (Show Source): You can put this solution on YOUR website!(y^2-4w^2)^2 y^2-4w^2 y^2-4w^2 Now multiply ------------------------------- y^4-4y^2w^2-4y^2w^2+16w^4 y^4-8y^2w^2+16w^2 Answer.
 Polynomials-and-rational-expressions/155546: Please help me out on this equation: I got an answer, but they were both extraneous and I want to know if I did it right.1 solutions Answer 114554 by checkley77(12569)   on 2008-09-07 18:19:55 (Show Source): You can put this solution on YOUR website!x^(2/3)=16 cubertx^2=16 Cube both sides. x^2=16^3 x^2=4096 Take the sqrt of both sides. x=64 Answer. Proof: 64^2/3=16 cubert64^2=16 cubert4096=16 16=16
 Complex_Numbers/155550: Please solve this operation for me: 1 solutions Answer 114553 by checkley77(12569)   on 2008-09-07 18:12:31 (Show Source): You can put this solution on YOUR website!((x^2-x-20)/(x+4))((x-3)/(x^2-2x-15)) (x-5)(x+4)/(x+4)*(x-3)/(x-5)(x+3) Cancel out the (x+4) & the (x-5) terms. (x-3)/(x+3) answer.
 Expressions-with-variables/155547: please help me solve this problem 1 solutions Answer 114551 by checkley77(12569)   on 2008-09-07 18:07:46 (Show Source): You can put this solution on YOUR website!(5/2+4/x)/(1+3/(4x)) Find the common denominators (2x) & (4x). [(5x+2*4)/2x]/[(4x+3)/4x] Invert the second term & multiply. [(5x+8)/2x] multiply the numerators & denominators. [4x(5x+8)]/[2x(4x+3)] Cancel out the (2x) terms. 2(5x+8)/(4x+3) (10x+16)/(4x+3) answer.
 Linear-systems/155458: Flying against the jetstream, a jet travels 3700 km in 5 hours. Flying with the jetstream, the same jet travels 9280 in 8 hours. What is the speed of the jet in still air, and what is the speed of the jetstream? 1 solutions Answer 114507 by checkley77(12569)   on 2008-09-07 11:03:05 (Show Source): You can put this solution on YOUR website!3700/5=s-j 9280/8=s+j ----------------- 3700/5+9280/8=2s (8*3700+5*9280)/40=2s 40*2s=29,600+46,400 80s=76,000 s=76,000/80 s=950 km/h is the speed of the jet. 3700/5=950-j 740-950=-j j=210 speed of the jet stream. proof: 9280/8=950+210 1160=1160
 Geometry_Word_Problems/155408: A shipping crate is to be constructed with its length six times the size of its width, and its height one-third the size of its length. The volume of the box must be 6144 cubic inches. Find the dimensions of the box. thanks.1 solutions Answer 114450 by checkley77(12569)   on 2008-09-06 18:56:57 (Show Source): You can put this solution on YOUR website!L=6W H=L/3 LWH=6144 6W*W*L/3=6144 6W*W*6W/3=6144 36W^3/3=6144 12W^3=6144 W^3=6144/12 W^3=512 W=CUBERT512 W=8 FOR THE WIDTH L=6*8=48 FOR THE LENGTH H=48/3=16 FOR THE HEIGHT. PROOF: 8*48*16=6144 6144=6144
 Functions/155407: Hello...um i need to find the Value Of X and Y 4x=-5y+40 x=-y+9 i know itz pretty easy but i kinda forget everything during the summer...can u plz help me..it will b greatly appreciated =]1 solutions Answer 114449 by checkley77(12569)   on 2008-09-06 18:48:31 (Show Source): You can put this solution on YOUR website!4x=-5y+40 x=-y+9 MULTIPLY THIS EQUATION BY -4 7 ADD. -4X=4Y-36 4X=-5Y+40 -------------- 0=-Y+4 Y=4 ANSWER. X=-4+9 X=5 ANSWER. PROOF: 4*5=-5*4+40 20=-20+40 20=20
 Exponential-and-logarithmic-functions/155404: 16x^2-49=01 solutions Answer 114448 by checkley77(12569)   on 2008-09-06 18:43:17 (Show Source): You can put this solution on YOUR website!16x^2-49=0 (4X+7)(4X-7)=0 4X+7=0 4X=-7 X=-7/4 ANSWER. 4X-7=0 4X=7 X=7/4 ANSWER. PROOF: 4(-7/4)^2-49=0 4*49/4-49=0 49-49=0 0=0
 Age_Word_Problems/155193: Jan invested 1200 dollars to a certain simple intrest rate and 2200 dollars at a rate of 3 percent higher. Her annual earning was 253 dollars. Find the two intrest rates if she earned 121 dollars more on the higher than on the smaller.1 solutions Answer 114446 by checkley77(12569)   on 2008-09-06 18:23:49 (Show Source): You can put this solution on YOUR website!1200X+2200(X+3)=253 OR 1200X-253=-2200(X+3) 1200X+121=2200(X+3)NOW ADD THE 2 EQUATIONS 1200X-253=-2200(X+3) --------------------- 2400X-132=0 2400X=132 X=132/2400 X=.055 OR %5.5% FOR THE \$1200 INVESTMENT. .055+.03=.085 0R 8.5% FOR THE \$2200 INVESTMENT. PROOF 1200*.055+2200*.085=253 66+187=253 253=253
 Polynomials-and-rational-expressions/155398: I need to solve this, yet cannot: (3x - 2)^2 Thank you for your help.1 solutions Answer 114443 by checkley77(12569)   on 2008-09-06 17:45:46 (Show Source): You can put this solution on YOUR website!(3x - 2)^2 3X-2 3X-2 NOW MULTIPLY --------------------- 9X^2-6X-6X+4=9X^2-12X+4 ANSWER.
 Polynomials-and-rational-expressions/155399: please help me solve this: (x - 2y)(x + 2y) thank you.1 solutions Answer 114442 by checkley77(12569)   on 2008-09-06 17:43:54 (Show Source): You can put this solution on YOUR website!(x - 2y)(x + 2y) X-2Y X+2Y NOW MULTIPLY: ------------------ X^2-2XY+2XY-4Y^2=X^2-4Y^2 ANSWER.
 Square-cubic-other-roots/155391: This question is from textbook find the lenght of a rectangle whose perimeter is 34.6 centimeters and whose width is 5.7 centimeter1 solutions Answer 114441 by checkley77(12569)   on 2008-09-06 17:42:06 (Show Source): You can put this solution on YOUR website!2*5.7+2X=34.6 11.4+2X=34.6 2X=34.6-11.4 2X=23.2 X=23.2/2 X=11.6 C. IS THE LENGTH. PROOF: 2*.7+2*11.6=34.6 11.4+23.2=34.6 34.6=34.6