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# Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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 Square-cubic-other-roots/244484: What is the square root of 4x squared+ 4x+ 1?1 solutions Answer 178817 by checkley77(12569)   on 2009-12-01 10:34:31 (Show Source): You can put this solution on YOUR website!4x^2+4x+1 (2x+1)^2 ans.
 Permutations/244491: How do you solve for a when (a-3)squared = 5-10a? 1 solutions Answer 178816 by checkley77(12569)   on 2009-12-01 10:32:10 (Show Source): You can put this solution on YOUR website!(a-3)^2=5-10a a^2-6a+9=5-10a a^2-6a+10a+9-5=0 a^2+4a+4=0 (a+2)^2=0 a+=0 a=-2 ans.
 Linear-equations/244492: How do I find the y axis intercept?1 solutions Answer 178815 by checkley77(12569)   on 2009-12-01 10:25:07 (Show Source): You can put this solution on YOUR website!Given a linear equation with x & y terms: Example: [6x+2y=8] Put this equation in the line equation format: Y=mX+b where b=the Y intercept. 6x=2y=8 2y=-6x+8 y=-6x/2+8/2 y=-3x+4 The Y intercept=4. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10,-3x +4).
 Percentage-and-ratio-word-problems/244453: The ratio of red marbles to green marbles in a package is 3 to 5. If 25 green marbles are in the package, how many red are in the package? 1 solutions Answer 178814 by checkley77(12569)   on 2009-12-01 10:20:30 (Show Source): You can put this solution on YOUR website!3/5=x/25 cross multiply. 5x=3*25 5x=75 x=75/5 x=15 red marbles in the package.
 Angles/244488: find the measure of two complementary angles if the difference in teh measure is 16?1 solutions Answer 178813 by checkley77(12569)   on 2009-12-01 10:16:38 (Show Source): You can put this solution on YOUR website!x & x+16 are the 2 angles. x+x+16=90 2x=90-16 2x=74 x=37 degrees ans. 37+16=53 degrees ans. Proof: 37+53=90 90=90
 Expressions-with-variables/244489: x+8 / 4 = 61 solutions Answer 178812 by checkley77(12569)   on 2009-12-01 10:12:20 (Show Source): You can put this solution on YOUR website!x+8/4=6 x+2=6 x=6-2 x=4 ans.
 Exponents-negative-and-fractional/244455: evalute x-2(x-5)=10-(2x+4) 1 solutions Answer 178811 by checkley77(12569)   on 2009-12-01 10:10:57 (Show Source): You can put this solution on YOUR website!x-2(x-5)=10-(2x+4) x-2x+10=10-2x-4 -x+2x=6-10 x=-4 ans. Proof: -4-2(-4-5)=10-(2*-4+4) -4-2*-9=10-(-8+4) -4+18=10-(-4) 14=10+4 14=14
 Expressions-with-variables/244458: 24x/35y * 14y/8x1 solutions Answer 178810 by checkley77(12569)   on 2009-12-01 10:04:04 (Show Source): You can put this solution on YOUR website!24x/35y*14y/8x cancel out the x,y terms. 24*14/35*8 divide 24 by 8 3*14/35 42/35 divide by 7 6/5 ans.
 Expressions-with-variables/244459: 2r+6 divided by 5 = -41 solutions Answer 178798 by checkley77(12569)   on 2009-12-01 09:31:13 (Show Source): You can put this solution on YOUR website!(2r+6)/5=-4 2r+6=-20 2r=-20-6 2r=-26 r=-26/2 r=-13 ans. Proof: (2*-13+6)/5=-4 (-26+6)/5=-4 -20/5=-4 -4=-4
 Probability-and-statistics/244464: if a menu has a choice of 4 appetizers, 4 main courses, and 3 desserts, then the sample space for all possible dinners has how many outcomes? A) 48 B) 16 C) 28 D) 31 solutions Answer 178797 by checkley77(12569)   on 2009-12-01 09:27:40 (Show Source): You can put this solution on YOUR website!4*4*3=48 ans. A).
 Polynomials-and-rational-expressions/244474: 49p^2+28pq+4q^21 solutions Answer 178796 by checkley77(12569)   on 2009-12-01 09:25:36 (Show Source): You can put this solution on YOUR website!49p^2+28pq+4q^2 (7p+2q)^2 ans.
 Polynomials-and-rational-expressions/244475: What is the factorization of 35x^8-2x^7-x^61 solutions Answer 178795 by checkley77(12569)   on 2009-12-01 09:24:21 (Show Source): You can put this solution on YOUR website!35x^8-2x^7-x^6 x^6(35x^2-2x-1) x^6(7x+1)(5x-1) ans.
 Linear_Algebra/244469: 4+3x = 4(2x-5)? 8x-7+2x = 6+5x+2? 10(x-1) = 2(2x-5)? 3x+7x = 16+4x?1 solutions Answer 178793 by checkley77(12569)   on 2009-12-01 09:21:21 (Show Source): You can put this solution on YOUR website!4+3x = 4(2x-5)? 4+3x=8x-20 3x-8x-20-4 -5x=-24 x=-24/-5 x=24/5 or 4.8 ans. ----------------------- 8x-7+2x = 6+5x+2? 6x-7=5x+8 6x-5x=8+7 x=15 ans. ----------------------- 10(x-1) = 2(2x-5)? 10x-10=4x-10 10x-4x=4x-10 -4x-4x=-10-10 -8x=-20 x=-20/-8 x=5/2 or 2.5 ans. ----------------------------- 3x+7x = 16+4x? 10x-4x=16 6x=16 x=16/6 x=8/3 or 2 2/3 or 2.6667 ans.
 Expressions-with-variables/244261: please help me solve -2x+3y=11 x=4y-3 i get how to do the easier problems but i just really got stuck on this one1 solutions Answer 178738 by checkley77(12569)   on 2009-11-30 19:32:22 (Show Source): You can put this solution on YOUR website!-2x+3y=11 x=4y-3 replace x in the first equation with (4y-3) & solve for y. -2(4y-3)+3y=11 -8y+6+3y=11 -5y=11-6 -5y=5 y=5/-5 y=-1 ans. -2x+3*-1=11 -2x-3=11 -2x=11+3 -2x=14 x=14/-2 x=-7 ans. Proof: -7=4*-1-3 -7-4-3 -7=-7
 Rectangles/244216: if you know the perimeter of a square then how can you find the area of the square in two steps[describe the two steps]. 1 solutions Answer 178737 by checkley77(12569)   on 2009-11-30 19:28:08 (Show Source): You can put this solution on YOUR website!P=40/4*x or x=10 The perimeter is 4 times the sides. Area=10^2=100 the area is the square of the side.
 Functions/244221: how do i graph f(x)=(x-1) cubed +1 its a quadratic but it also is a cubic function?1 solutions Answer 178734 by checkley77(12569)   on 2009-11-30 19:19:37 (Show Source): You can put this solution on YOUR website!f(x)=(x-1)^3+1 y=(x-1)^3+1 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, (x-1)^3 =1).
 Functions/244224: who would i graph f(x)= -(x-2)squared +31 solutions Answer 178733 by checkley77(12569)   on 2009-11-30 19:16:46 (Show Source): You can put this solution on YOUR website!f(x)=-(x-2)^2+3 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -(x-2)^2 +3). Vertex=(2,3) Axis of symmetry x=2
 Vectors/244229: 10x-25+10x+3x^2+2x^2=3601 solutions Answer 178730 by checkley77(12569)   on 2009-11-30 19:07:28 (Show Source): You can put this solution on YOUR website!10x-25+10x+3x^2+2x^2=360 5x^2+20x-25-360=0 5x^2+20x-385=0 5(x^2+4x-77)=0 5(x+11)(x-7)=0 x+11=0 x=-11 ans. x-7=0 x=7 ans.
 Linear-systems/244238: How would I do y=x-6 on a graph as a linear line? Because I don't know what the rise over run is but I know the Y intercept... So how would I graph it or figure out what the x is?1 solutions Answer 178729 by checkley77(12569)   on 2009-11-30 19:03:25 (Show Source): You can put this solution on YOUR website!y=x-6 The rise over run is the slope (m) Y=mX+b In this equation m=1. (graph 300x200 pixels, x from -6 to 8, y from -10 to 10, x -6).
 logarithm/244240: Solve the exponential equation algebraically. Approximate the result to three decimal places. 3x + 16 = 45 1 solutions Answer 178726 by checkley77(12569)   on 2009-11-30 19:00:10 (Show Source): You can put this solution on YOUR website!3x + 16 = 45 3x=45-16 3x=29 x=29/3 x=9.667 ans.
 Linear-equations/244166: (0,0) and (7,5) what is an eqution of the line? what does y=??1 solutions Answer 178725 by checkley77(12569)   on 2009-11-30 18:57:39 (Show Source): You can put this solution on YOUR website!(0,0) and (7,5) Slope=(5-0)/(7-0)=5/7 5=5/7*7+b 5=35/7+b 5=5+b b=0 y=5x/7 ans. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 5x/7).
 Quadratic_Equations/244184: how do you solve this equation 9x² - 4x - 5 = 01 solutions Answer 178722 by checkley77(12569)   on 2009-11-30 18:51:40 (Show Source): You can put this solution on YOUR website!9x² - 4x - 5 = 0 (9x+5)(x-1)=0 9x+5=0 9x=-5 x=-5/9 ans. x-1=0 x=1 ans.
 decimal-numbers/244187: what is the answer to 0.9 divided by 7.21 solutions Answer 178720 by checkley77(12569)   on 2009-11-30 18:47:36 (Show Source): You can put this solution on YOUR website!0.9/7.2=1/8=.125 ans.
 Linear-systems/244189: My son has an assignment from a substitute that apparently did not explain the homework sheet to the students. Question: Is the relationship shown by the data linear? If it is, model the data with an equation. X Y 2 3 3 7 4 11 5 151 solutions Answer 178718 by checkley77(12569)   on 2009-11-30 18:45:40 (Show Source): You can put this solution on YOUR website! X Y 2 3 3 7 4 11 5 15 SLOPE=(7-3)/(3-2)=4/1=4 SLOPE=(11-7)/(4-3)=4/1=4 SLOPE=(15-11)/(5-4)=4/1=4 3=2*4+b 3=8+b b=3-8 b=-5 Y=4X-5 ans. for the line equation. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 4x -5).
 Proportions/244191: Jim found out that after working for 9 months he had earned 6 days of vacation time. How many days per year does he earn at this rate? Please help! Thank you.1 solutions Answer 178717 by checkley77(12569)   on 2009-11-30 18:36:19 (Show Source): You can put this solution on YOUR website!6/9=X/12 9X=6*12 9X=72 X=72/9 X=8 DAYS OF VACATIONS WILL BE EARNED PER YEAR.
 Proportions/244195: On a city map, a rectangular park has a length of 4 in. If the actual length and width of the park are 500 ft. and 300 ft, respectively, how wide is the park on the map? Please help! Thank you.1 solutions Answer 178716 by checkley77(12569)   on 2009-11-30 18:34:09 (Show Source): You can put this solution on YOUR website!LENGTH=4:500 WIDTH=X:300 500X=4*300 500X=1200 X=1200/500 X=2.4 IN. IS THE MAP MEASUREMENT FOR THE WIDTH.
 Proportions/244198: Jim's car will travel 240 mi. on 15 gal. of gas. How far can he expect to go on 3 gal. of gas? Any ideas? Thanks so much.1 solutions Answer 178714 by checkley77(12569)   on 2009-11-30 18:29:56 (Show Source): You can put this solution on YOUR website!240/15=X/3 15X=3*240 15X=720 X=720/15 X=48 MILES CAN BE DRIVEN ON 3 GALLONS OF GAS.
 Square-cubic-other-roots/244200: Between what two consecutive intergers is the square root of 78?1 solutions Answer 178713 by checkley77(12569)   on 2009-11-30 18:26:51 (Show Source): You can put this solution on YOUR website!SQRT78=8.83176 THIS SQRT IS BETWEEN 8 & 9
 Surface-area/244169: If a square has an area of 200 yd. squared. What will the area of the square become if you double the length of the sides. What i have tried: Figuring out the sides now when it is 200, my problem is that i can't figure out those sides. Thank you!1 solutions Answer 178712 by checkley77(12569)   on 2009-11-30 18:24:42 (Show Source): You can put this solution on YOUR website!X^2=200 X=SQRT200 X=14.1421335 YDS. IS THE LENGTH OF THE SIDES OF THIS SQUARE. 2*14.142135=28.28427 28.28427^2=800 YDS.^2 IS THE NEW AREA OR THE AREA IS MULTIPLIED BY 4.
 Equations/244174: y^2=y+30 what does y equal? 1 solutions Answer 178708 by checkley77(12569)   on 2009-11-30 18:14:40 (Show Source): You can put this solution on YOUR website!y^2=y+30 Y^2-Y-30=0 (Y-6)(Y+5)=0 Y-6=0 Y=6 ANS. Y+5=0 Y=-5 ANS.
 Rational-functions/244175: hi i really need help with these problem. Thank you 5root7*7root51 solutions Answer 178707 by checkley77(12569)   on 2009-11-30 18:11:52 (Show Source): You can put this solution on YOUR website!5root7*7root5 5*7SQRT7*SQRT5 35SQRT(7*5) 35SQRT35 ANS.