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Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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Polynomials-and-rational-expressions/155512: y-6<10 1 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=4 1 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 problem 1 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=y 1 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=y 1 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 / 2 1 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 problem 1 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^2 1 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= 3/4 1 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=0 1 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 centimeter 1 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