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# Recent problems solved by 'checkley77'

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 Percentage-and-ratio-word-problems/216334: A father left all his money to his three children. Matt received one sixth of his father's money while Samantha received one seventh of his money. Andrew, who received the remainder of the money was given \$23,490. How much money did Matt and Samantha each receive? 1 solutions Answer 163363 by checkley77(12569)   on 2009-09-23 21:09:51 (Show Source): You can put this solution on YOUR website!x/6+x/7+23,490=x (7x+6x)/42+23,490=x 13x/42=x-23,490 13x=42x+42*-23,490 13x-42x=-986,580 -29x=-986,580 x=-986,580/-29 x=\$34,020 amount of the total inheritance. Proof: 34,020/6+34,020/7+23,490=34,020 5,670+4,860+23,490=34,020 34,020=34,020
 Inequalities/216337: Identify the solutions set for the following inequality: 13< - 2(x-2)+3x Thank you for your help1 solutions Answer 163361 by checkley77(12569)   on 2009-09-23 21:00:26 (Show Source): You can put this solution on YOUR website!13< - 2(x-2)+3x 13<-2x+4+3x 13 13-4 9 Proof: Let x=9.1 13<-2(9.1-2)+3*9.1 13<-2*7.1+27.3 13<-14.2+27.3 13<13.1
 Evaluation_Word_Problems/216258: Traveling upstream on the Mississippi River, a barge travels 56 miles in 7 hours. Downstream, it travels the same distance in 4 hours. Find the rate of the barge in still water and the rate of the current. I am totally lost on how to do you. Would you please help me?1 solutions Answer 163359 by checkley77(12569)   on 2009-09-23 20:48:59 (Show Source): You can put this solution on YOUR website!56/7=8 mph. is the speed upstream. 56/4=14 mph. is the speed downstream. (14-8)/2=6/2=3 mph. is the speed of the current. Proof: 14-3=11 mph. in still water. 8+3=11 ditto.
 Polynomials-and-rational-expressions/216273: 8x^3-18x1 solutions Answer 163340 by checkley77(12569)   on 2009-09-23 20:26:48 (Show Source): You can put this solution on YOUR website!8x^3-18x 2x(4x^2-9) 2x(2x+3)(2x-3)
 Money_Word_Problems/216279: If Ben invests \$4000 at 4% interest per year, how much additional money must he invest at 5.5% annual interest to ensure that the interest he receive each year is 4.5 of the total amount invested?1 solutions Answer 163337 by checkley77(12569)   on 2009-09-23 20:24:49 (Show Source): You can put this solution on YOUR website!.055x+.04*4,000=.045(4,000+x) .055x+160=180+.045x .055x-.045x=180-160 .01x=20 x=20/.01 x=2,000 needs to be invested @ 5.5%. Proof: .055*2,000+.04*4,000=.045(4,000+2,000) 110+160=.045*6,000 270=270
 Linear-equations/216287: 2(y-x)=5+2x 2(y+x)=5+2y Sytems..!!1 solutions Answer 163333 by checkley77(12569)   on 2009-09-23 20:14:54 (Show Source): You can put this solution on YOUR website!2(y-x)=5+2x -------------------------------- 2(y+x)=5+2y 2y+2x=5+2y 2y-2y=-2x+5 0=-2x+5 2x=5 x=5/2 x=2.5 ans. 2(y-(2.5))=5+2(2.5) 2(y-2.5)=5+5 2y-5=10 2y=10+5 y=15/2 y=7.5 ans. PROOF: 2(7-2.5)=5+2*2.5 2*5=5+5 10=10
 Polynomials-and-rational-expressions/216289: How do you do the problem (3x^2 - 4) + (5x^2 + 8)1 solutions Answer 163324 by checkley77(12569)   on 2009-09-23 19:56:39 (Show Source): You can put this solution on YOUR website!(3x^2 - 4) + (5x^2 + 8) 8x^2+4 4(2x^2+1) ans.
 Systems-of-equations/216224: what is the awnswer for 0.2n +3=8.61 solutions Answer 163301 by checkley77(12569)   on 2009-09-23 18:46:40 (Show Source): You can put this solution on YOUR website!0.2n +3=8.6 .2n=8.6-3 .2n=5.6 n=5.6/.2 n=28 ans. Proof: .2*28+3=8.6 5.6+3=8.6 8.6=8.6
 expressions/216227: 9=-5g-231 solutions Answer 163296 by checkley77(12569)   on 2009-09-23 18:42:16 (Show Source): You can put this solution on YOUR website!9=-5g-23 5g=-23-9 5g=-32 g=-32/5 ans.
 Radicals/216228: 4x^2-200=-201 solutions Answer 163295 by checkley77(12569)   on 2009-09-23 18:40:28 (Show Source): You can put this solution on YOUR website!4x^2-200=-20 4x^2=-20+200 4x^2=180 x^2=180/4 x^2=45 x=sqrt45 x=6.7082 ans.
 Polynomials-and-rational-expressions/216214: What would be the factored solution to the equation ? I attempted (3x+11)(x+23) and (x+11)(3x+23). I can't seem to find a factored solution to match the original monomial equation.1 solutions Answer 163292 by checkley77(12569)   on 2009-09-23 18:32:16 (Show Source): You can put this solution on YOUR website!3x^2+54x+243 3(X^2+18X+81) 3(X+9)(X+9)
 Number-Line/216215: 21 _____ _____ 63 these numbers and spaces are on a number line what is the formula to figure the missing numbers? 1 solutions Answer 163288 by checkley77(12569)   on 2009-09-23 18:28:13 (Show Source): You can put this solution on YOUR website!(63-21)/(N-1)=42/(4-1)=42/3=14 21+14=35+14=49+14=63
 Numbers_Word_Problems/216090: (Directions: Let x represent one number and let y represent the other number. Use the given conditions to write a system of equations. Solve the system and find the numbers.) The sum of two numbers is 2. If one number is subtracted from the other, the result is 8. Find the numbers.1 solutions Answer 163286 by checkley77(12569)   on 2009-09-23 18:23:46 (Show Source): You can put this solution on YOUR website!X+Y=2 OR X=2-Y X-Y=8 (2-Y)-Y=8 2-2Y=8 -2Y=8-2 -2Y=6 Y=6/-2\Y=-3 ANS. X-3=2 X=2=3 X=5 ANS. PROOF: 5-(-3)=8 5+3=8 8=8
 test/216092: wat is the verbal statement of seven is equal to 4 times a number 1 solutions Answer 163285 by checkley77(12569)   on 2009-09-23 18:20:32 (Show Source): You can put this solution on YOUR website!7=4N ANS.
 Equations/216094: What is the answer to w divided by 9=141 solutions Answer 163284 by checkley77(12569)   on 2009-09-23 18:19:06 (Show Source): You can put this solution on YOUR website!w/9=14 W=14*9 W=126 ANS.
 Travel_Word_Problems/216105: two cars start from the same point at the same time and go in opposite directions. one car averages 30mph and the other car averages 45mph. how long must they travel to be at least 150 miles apart? use the distance formula to solve.1 solutions Answer 163279 by checkley77(12569)   on 2009-09-23 18:16:18 (Show Source): You can put this solution on YOUR website!D=RT 150=30T+45T 150=75T T=150/75 T=2 HOURS THEY WILL BE 150 MILES APART. pROOF: 150=30*2+45*2 150=60+90 150=150
 Polynomials-and-rational-expressions/216109: how to factor 8y^8-8z^81 solutions Answer 163275 by checkley77(12569)   on 2009-09-23 18:12:45 (Show Source): You can put this solution on YOUR website!8y^8-8z^8 8(y^8-z^8) 8(y^4+z^4)(y^4-z^4) 8(y^4+z^4)(y^2+z^2)(y^2-z^2) 8(y^4+z^4)(y^2+z^2)(y+z)(y-z) ans.
 Quadratic_Equations/216110: Please help me: A rectangular garden has a perimeter of 140m and an area of 1200m^2. set up a quadratic equation and solve it agebraically to find the dimensions of the garden. 1 solutions Answer 163271 by checkley77(12569)   on 2009-09-23 18:08:40 (Show Source): You can put this solution on YOUR website!2L+2W=140 LW=1,200 L=1,200/W 2(1,200/W)+2W=140 2,400/W+2W=140 (2,400+2W*W)/W=140 2,400+2W^2=140W 2W^2-140W+2,400=0 2(W^2-70W+1,200)=0 2(W-30)(W-40)=0 W-30=0 W=30 L=40 ANS. W-40=0 W=40 L=30 ANS. PROOF: 30*40=1,200 2*30+2*40=140 60+80=140 140=140
 Equations/216169: s+{2s-1}+{3s-4}=371 solutions Answer 163267 by checkley77(12569)   on 2009-09-23 17:58:43 (Show Source): You can put this solution on YOUR website!s+{2s-1}+{3s-4}=37 6s-5=37 6s=37+5 6s=42 s=42/6 s=7 ans. Proof: 7+2*7-1+3*7-4=37 7+14-1+21-4=37 42-5=37 37=37
 Sequences-and-series/216171: describe each sequence using words and symbols sequences and equations 46,52,58,64,....1 solutions Answer 163265 by checkley77(12569)   on 2009-09-23 17:55:06 (Show Source): You can put this solution on YOUR website!46,52,58,64,.... 46 plus 6 equals 52 plus 6 equals 58 plus 6 equals 64 plus 6 ls 70 etc.
 Linear-equations/216184: Find the equation in function notation y=mx+b perpendicular to -8x+3y=-5 Through (2,-2)1 solutions Answer 163263 by checkley77(12569)   on 2009-09-23 17:48:18 (Show Source): You can put this solution on YOUR website!-8x+3y=-5 Through (2,-2) 3y=8x-5 y=8x/3-5/3 (red line) this line has a slope=8/3. A perpendicular line has a slope=-3/8 -2=-3/8*2+b -2=-6/8+b b=-2+3/4 b=-8/4+3/4 b=-5/4 the y intercept. y=-3x/8-5/4 (green line) ans. (graph 200x200 pixels, x from -5 to 5, y from -5 to 5, of TWO functions 8x/3 -5/3 and -3x/8 -5/4).
 Geometry_Word_Problems/216179: a family is buying capetibg for two rooms.One room measures 15 feet by 17.5 feet and the other is 17.5 feet by 20 feet.Which expression gives the total square eet of carpet that the family is buying? F.35*35 G.32.5*37.5 H.17.5*35 I.15*37.51 solutions Answer 163261 by checkley77(12569)   on 2009-09-23 17:40:41 (Show Source): You can put this solution on YOUR website!H) (17.5+15)+(17.5+20)=17.5(15+20)=17.5*35
 Quadratic_Equations/216172: I need a help please! Solution: 10x^2=10 1 solutions Answer 163260 by checkley77(12569)   on 2009-09-23 17:36:04 (Show Source): You can put this solution on YOUR website!10x^2=10 x^2=10/10 x^2=1 x=sqrt1 x=1 ans.
 Numeric_Fractions/216173: add 13 to a number this is 5th grade work, all i need is how to write the equation. It is Algebra: Expressions and Addition Properties I think the answer is n+131 solutions Answer 163259 by checkley77(12569)   on 2009-09-23 17:34:23 (Show Source): You can put this solution on YOUR website!N+13 ans.
 Linear-equations/216161: Find the equation of the line in function notation y=mx+b form parallel to 4y-7x=-5 through (5,-8)1 solutions Answer 163257 by checkley77(12569)   on 2009-09-23 17:32:46 (Show Source): You can put this solution on YOUR website!4y-7x=-5 through (5,-8) 4y=7x-5 y=-7x/4-5/4 (red line) This line has a slope=-7/4 so a parallel line will also have a slope=-7/4. 8=-7/4*5+b 8=35/4+b b=8-35/4 b=(32-35)/4 b=-3/4 the y intercept. y=-7x/4-3/4 (green line) is the equation of this parallel line. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -7x/4 -5/4 and -7x/4 -3/4).
 Inequalities/216166: Solve for x: 5-2x>-11 1 solutions Answer 163255 by checkley77(12569)   on 2009-09-23 17:24:55 (Show Source): You can put this solution on YOUR website!5-2x>-11 -2x>-11-5 -2x>-16 x<-16/-2 (note: the > sign changes to a < sign when dividing by a negative value.) x<8 ans. Proof: Let x=7.9 5-2*7.9>-11 5-15.8>-11 -10.8>-11
 Linear-equations/216163: what is the slope and y-intercept of the equation: 6x+5y=271 solutions Answer 163253 by checkley77(12569)   on 2009-09-23 17:20:42 (Show Source): You can put this solution on YOUR website!6x+5y=27 5y=-6x+27 y=-6x/5+27/5 Slope=-6/5 Y intercept=27/5 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -6x/5 +27/5).
 Miscellaneous_Word_Problems/215931: The question: The product of two negative numbers is 90. If x is one of the numbers, write their sum S as a function of x. I'm not quite sure how it would be solved. The part that says "...their sum S as a function of x" is what confused me. Anyone who is willing to help is welcome to! 1 solutions Answer 163132 by checkley77(12569)   on 2009-09-23 09:00:46 (Show Source): You can put this solution on YOUR website!90=x*y y is the other negative number. x=90/y S=x+y S=x+90/y x=S-90/y ans.
 Linear_Equations_And_Systems_Word_Problems/215981: 5 x 3^8 / (6 x 10^4) 1 solutions Answer 163130 by checkley77(12569)   on 2009-09-23 08:56:05 (Show Source): You can put this solution on YOUR website!5 x 3^8 / (6 x 10^4) 5*6,561/60,000 32,805/60,000=.54675 ans.
 Quadratic_Equations/215973: if (x*x)+1=3x then what is the value of (x*x)+1/(x*x)1 solutions Answer 163128 by checkley77(12569)   on 2009-09-23 08:47:47 (Show Source): You can put this solution on YOUR website!(x*x)+1=3x x^2+1=3x x^2-3x+1 x=(3+-sqrt[-3^2-4*1*1])/2*1 x=(3+-sqrt[9-4)/2 x=3+-sqrt5)/2 x=(3+-2.236)/2 x=5.236/2 2.618 ans. x=(3-2.236)/2 x=.764/2 x=.382 ans.
 Miscellaneous_Word_Problems/215970: On a particular quiz, there are 15 easy questions and 15 hard questions. The easy questions are worth 4 points each, and the hard questions are worth 10 points each. No partial credit is possible. Sam earns a total of 92 points on the quiz. What is the greatest number of hard questions that he could have answered correctly?1 solutions Answer 163126 by checkley77(12569)   on 2009-09-23 08:37:53 (Show Source): You can put this solution on YOUR website!15x<92 x<92/15 x<6.13333 ans. or the maximum number of hard questions answered correctly=6.