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# Recent problems solved by 'checkley77'

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 Functions/169403: Write a function rule: the volume V(n) of a cube when you know the length of a side. Please show work. Thank you very much for your help!!1 solutions Answer 124888 by checkley77(12569)   on 2008-11-24 16:47:47 (Show Source): You can put this solution on YOUR website!Volume of a cube with side=n: v(n)=n^3
 Age_Word_Problems/169336: In how many years will Mr. Sison be 7 times that of his son if he is now 69 years old and his son is 3? Please give me he representation of your answer thank you!!!!1 solutions Answer 124831 by checkley77(12569)   on 2008-11-24 09:18:11 (Show Source): You can put this solution on YOUR website!69+x=7(3+x) 69+x=21+7x x-7x=21-69 -6x=-48 x=-48/-6 x=8 years from now dad will be 7 times as old as his son. Proof: 69+8=8(3+8) 77=7*11 77=77
 Age_Word_Problems/169337: There were 770 tickets sold for a ballet performance at the CCP. The tickets cost P2,500 for semi-VIP seats and P5000 for VIP seats. A total of P2,800,000 was collected. How many of each kind of ticket were sold? Please give me the representation of your problem thank you very much....1 solutions Answer 124830 by checkley77(12569)   on 2008-11-24 09:14:13 (Show Source): You can put this solution on YOUR website!2,500x+5,000(770-x)=2,800,000 2,500x+3,850,000-5,000x=2,800,000 -2,500x=2,800,000-3,850,000 -2,500x=-1,050,000 x=-1,050,000/-2,500 x=420 semi-VIP tickets sold. 770-420=350 VIP tickets sold. Proof: 2,500*420+5,000*350=2,800,000 1,050,000+1,750,000=2,800,000 2,800,000=2,800,000
 Problems-with-consecutive-odd-even-integers/169328: This question is from textbook Integrated Arithmetic and Basic Algebra Find two consecutive integers so that twice the square of the larger is 57 more than three times the smaller. Find the integers.1 solutions Answer 124827 by checkley77(12569)   on 2008-11-24 09:07:17 (Show Source): You can put this solution on YOUR website!Let x & x+1 be the 2 integers. 2(x+1)^2=3x+57 2(x^2+2x+1)=3x+57 2x^2+4x+2=3x+57 2x^2+4x-3x-57+2=0 2x^2+x-55=0 (2x+11)(x-5)=0 2x=11=0 2x=-11 x=-11/2 x=-5.5 ans. -5.5+1=-4.5 ans. x-5=0 x=5 ans. 5+1=6 ans. Proof: 2*6^2=3*5+57 2*36=15+57 72=72
 Linear-equations/169290: This question is from textbook beginning algebra please help me with this problem. i am having trouble because i am getting stuck on it. please help me. thank you. simplify both sides of the following equations as much as possible, and then solve. -11x+2+10x+2x=9 thank you!!1 solutions Answer 124818 by checkley77(12569)   on 2008-11-23 22:09:43 (Show Source): You can put this solution on YOUR website!-11x+2+10x+2x=9 x+2=9 x=9-2 x=7 ans. Proof: -11*7+2+10*7+2*7=9 -77+2+70+14=9 -77+86=9 9=9
 Money_Word_Problems/169285: Any help with this problem would be great... What rate of interest, to the nearest tenth of a percent, compounded annually is needed for an investment of \$1,500 to grow to \$3,300 in four years? Thanks to all the tutors out there.1 solutions Answer 124816 by checkley77(12569)   on 2008-11-23 22:06:32 (Show Source): You can put this solution on YOUR website!1500(1+r)^4=3300 (1+r)^4=3300/1500 (1+r)^4=2.2 1+r=4thrt(2.2) 1+r=1.21788 r=1.21788-1 r=.21788 ans. for the rate. Proof: 1500(1+.21788)^4=3300 1500(1.21788)^4=3300 1500*2.2=3300 3300=3300
 Equations/169286: Factor x^2-x^4+21 solutions Answer 124815 by checkley77(12569)   on 2008-11-23 22:01:27 (Show Source): You can put this solution on YOUR website!x^2-x^4+2 -x^4+x^2+2 (-x^2+2)(x^2+1) ans.
 Probability-and-statistics/169284: We selected 3 seeds out of a bag. The bag contains 6 seeds for yellow flowers, 4 red and seven white. What's the probability that the 3 seeds grow white flowers? What's the probability that the 3 seeds grow same colored flowers?1 solutions Answer 124814 by checkley77(12569)   on 2008-11-23 21:57:24 (Show Source): You can put this solution on YOUR website!White seeds: 7/17*6/16*5/15=210/4080=7/136 chances (or 5.147%) of the 3 being white seeds. 6/17*5/16*4/15=120/4080=4/136 chances (or 2.941%) of the 3 being yellow. 4/17*3/16*2/15=24/4080=8/1360 chances (or 0.588%) of the 3 being red. 7/136+4/136+8/1360 (70+40+8)/1360 118/1360=.086765 or 8.6765% success in all 3 being the same color.
 Quadratic_Equations/169268: a rectangular page in a book is to have an 18 cm by 23 cm illustration in the center with equal margins on all four sides. How wide should the margins be if the page has an area of 594 square cm?1 solutions Answer 124811 by checkley77(12569)   on 2008-11-23 21:42:37 (Show Source): You can put this solution on YOUR website!18*23=414 cm^2 is the center illustration. (13+2x)(23+2x)=594 299+46x+26x+4x^2=594 4x^2+72x+299-594=0 4x^2+72-295=0 Using the quadratic equation we get: x=(-72+-sqrt[72^2-4*4*-295])/2*4 x=(-72+-sqrt[5184+4720])/8 x=)-71+-sqrt9904)/8 x=(-72+-99.5188)/8 x=27.5188/8 x=3.43986 cm. ans for the margin. Proof: (13+2*3.43986)(23+2*4.43986)=594 (13+6.8797)(23+6.8797)=594 19.8797*29.8797=594 594~594
 logarithm/169200: Solve for "x" log x = [ (4.5*10^4)/(1.5*10^-2)(3.0*10^6)]1 solutions Answer 124805 by checkley77(12569)   on 2008-11-23 21:04:03 (Show Source): You can put this solution on YOUR website!log x = [ (4.5*10^4)/(1.5*10^-2)(3.0*10^6)] log x= 45,000/45,000 log x= 1 log 10=1 x=10 answer.
 Sequences-and-series/169219: How do I find the next two terms of geometric sequence 6250, 5000, 4000,... and also how do I find four geometric means between 4096 and 972. I must show my work and don't know how to do these. Please help. Thanks1 solutions Answer 124803 by checkley77(12569)   on 2008-11-23 20:55:07 (Show Source): You can put this solution on YOUR website!6,250, 5,000, 4,000, 3,200, 2,560 [each term is multiplied by .8 or divided by 1.25] ---------------------------------------------------------- 972/4096=.23730479 x^5=.23730479 x=5th root of .23730479 x=.75 is the multiplier for these 4 middle terms. Proof 4096*.75=3072*.75=2304*.75=1728*.75=1296*.75=972.
 Probability-and-statistics/169225: I have two questions. Will you please help 1. A scout troop will prepare trail mix for their next hike. They have decided to mix one type of nut, one type of dried fruit, and one type of granola. The local store carries 8 types of nuts, 6 types of dried fruit, and 5 types of granola. How many different trail mixes are possible. 2. Students are given a list of ten vocabulary words to learn. In how many ways could four of the words be listed on a test? I must show my work. Will you please help. Thank you1 solutions Answer 124801 by checkley77(12569)   on 2008-11-23 20:24:27 (Show Source): You can put this solution on YOUR website!8*6*5=240 different mixes are possible. ------------------------------------------- 10*9*8*7=5,040 ways 4 words out of 10 can be listed on a 4 question test.
 Expressions-with-variables/169229: I know this is a very simple type of equation, but I've forgotten which ones can cancel out and which have to stay. This is the problem: (6a)(-4b) _________ (-2ab)(-3b) It's multiple choice, so the possible answers are: A. 4b B. 4/b C. -4a D. -4/a E. -4/b Please help!1 solutions Answer 124800 by checkley77(12569)   on 2008-11-23 20:20:04 (Show Source): You can put this solution on YOUR website!(6a)(-4b) _________ multiply these terms. (-2ab)(-3b) -24ab/6ab^2 now divide -24 by 6=-4, cancel out the (a) terms one of the (b) terms. -4/b ans. E)
 Polynomials-and-rational-expressions/169235: This question is from textbook Algerbra Structure and Method Book 1 { { { c=5/9(f-32);f } } }1 solutions Answer 124798 by checkley77(12569)   on 2008-11-23 20:15:31 (Show Source): You can put this solution on YOUR website!c=5/9(f-32);f c=5(f-32)/9 9c=5f-160 5f=9c+160 f=(9c+-160)/5 f=9/5c+32 ans.
 real-numbers/169237: How do you do this problem: 1 and 9/10 minus and negitive 2 and 1/21 solutions Answer 124797 by checkley77(12569)   on 2008-11-23 20:11:45 (Show Source): You can put this solution on YOUR website!1 9/10-2 1/2 19/10-5/2 (19-5*5)/10 (19-25)/10 -6/10=-3/5 ans.
 Average/169260: carmen made \$302 for 18 hours of work at the same rate how much would she make for 7 hours of work1 solutions Answer 124795 by checkley77(12569)   on 2008-11-23 20:08:04 (Show Source): You can put this solution on YOUR website!302/18=x/7 18x=7*302 18x=2114 x=2114/18 x=\$117.44 would be her salary for 7 hours
 Systems-of-equations/169262: soybean meal is 14% protein, cornmeal is 7% protein. How many pounds of each should be mixed together in order to get 280lb mixture that is 9% protein?1 solutions Answer 124793 by checkley77(12569)   on 2008-11-23 20:05:33 (Show Source): You can put this solution on YOUR website!.14x+.07(280-x)=.09*280 .14x+19.6-.07x=25.2 .07x=25.2-19.6 .07x=5.6 x=5.6/.07 x=80 lbs. of soybeans is used 280-80=200 lbs. of corn meal is used. Proof: .14*80+.07*200=25.2 11.2+14=25.2 25.2=25.2
 Square-cubic-other-roots/169258: cube root of 175 divided by cube root of 501 solutions Answer 124792 by checkley77(12569)   on 2008-11-23 20:01:40 (Show Source): You can put this solution on YOUR website!\3/=cuberoot (\3/175)/(\3/50) 5.5934/3.684=1.15183 ans.
 Money_Word_Problems/169259: Maureen paid &62.06 including 7% tax for a sweater. How much did the sweater itself cost?1 solutions Answer 124791 by checkley77(12569)   on 2008-11-23 19:56:58 (Show Source): You can put this solution on YOUR website!x+.07x=62.06 1.07x=62.06 x=62.06/1.07 x=\$58.00 was the original price of the sweater. Proof: 58.00*1.07=62.06 62.06=62.06
 Angles/169203: Find the exact value of the expression. sin(-11π/12)1 solutions Answer 124773 by checkley77(12569)   on 2008-11-23 16:25:44 (Show Source): You can put this solution on YOUR website!According to my TI-30XIIS calculator: sin(-11π/12)=-0.050240715 ans.
 Miscellaneous_Word_Problems/169206: (x+5) acres facing the Seventy-five acres of land were purchased for \$142 500. The land facing the highway cost \$2700 per acre. The land facing the railroad cost \$2200 per acre and the remainder cost \$1450 per acre. There were 5 acres more facing the railroad than the highway. How much land was at each price?1 solutions Answer 124772 by checkley77(12569)   on 2008-11-23 16:21:21 (Show Source): You can put this solution on YOUR website!(x+5) acres facing the railroad @ 2,200 x acres facing the highway @ 2,700 75-(x+5)-x acres in the middle @1,450 142,500=2,200(x+5)+2,700x+1,450[75-(x+5)-x] 142,500=2,200x+11,000+2,700x+1,450[70-2x] 142,500=11,000+4,900x+101,500-2,900x 142,500-11,000-101,500=2,000x 30,000=2,000x 30,000/2,000=x x=15 acres facing the highway. 15+5=20 acres facing the railroad. 75-15-20=40 acres in the middle. Proof: 142,500=2,200*20+2,700*15+1,450*40 142,500=44,000+40,500+58,000 142,500=142,500
 Equations/169202: A tank contains 440 litres of a mixture which is 23.0% acid. How many litres of a mixture which is 12.0% acid must be added to get a mixture which is 14.5% acid.1 solutions Answer 124768 by checkley77(12569)   on 2008-11-23 16:02:08 (Show Source): You can put this solution on YOUR website!.23*440+.12x=.145(440+x) 101.2+.12x=63.8+.145x .12x-.145x=63.8-101.2 -.025x=-37.4 x=-37.4/-.025 x=1,496 liters of 12% acid are used. Proof: .23*440+.12*1,496=.145(440+1,496) 101.2+179.52=.145*1,936 280.72=280.72
 Quadratic_Equations/169120: Find the corresponding y values for x=-4, -3, -2 if y+x^+2x-15.1 solutions Answer 124761 by checkley77(12569)   on 2008-11-23 15:27:22 (Show Source): You can put this solution on YOUR website!y+x^[2]+2x-15 I'll assume you meant to have a [^2) power for the first x term? When x=-4: x(-4)=y+(-4^2)+2*-4-15 x(-4)=y+16-8-15 x(-4)=y-7 ans. Where x=-3 x(-3)=y+(-3)^2+2*-3-15 x(-3)=y+9-6-15 x(-3)=y-12 ans. Where x=-2 x(-2)=y(-2)^2+2*-2-15 x(-2)=y+4-4-15 x(-2)=y-15 ans.
 Equations/169132: This question is from textbook factors by regrouping 2a2(power) - 9ab + 9b2(power)1 solutions Answer 124759 by checkley77(12569)   on 2008-11-23 15:15:55 (Show Source): You can put this solution on YOUR website!2a^2-9ab+9b^2 (2a-3b)(a-3b) ans.
 Expressions-with-variables/169140: how do you solve x+3=23 3x-2y=3 1 solutions Answer 124757 by checkley77(12569)   on 2008-11-23 15:13:24 (Show Source): You can put this solution on YOUR website!x+3=23 or x=23-3 or x=20 ans. 3x-2y=3 3*20-2y=3 60-2y=3 -2y=3-60 -2y=-57 -y=-57/2 y=57/2 ans.
 Money_Word_Problems/169145: A computer is on sale for \$800. The regular price was \$950. Find the markdown.1 solutions Answer 124756 by checkley77(12569)   on 2008-11-23 15:08:56 (Show Source): You can put this solution on YOUR website!(950-800)/950 150/950=.15789 or 15.789% markdown,
 Money_Word_Problems/169146: A fax machine is on sale for \$250.00. The markdown rate is 40%. Find the regular price.1 solutions Answer 124755 by checkley77(12569)   on 2008-11-23 15:07:08 (Show Source): You can put this solution on YOUR website!x-.4x=250 .6x=250 x=250/.6 x=\$416.67 original cost of the fax machine.
 Systems-of-equations/169161: soybean meal is 14% protein, cornmeal is 7% protein, how many pounds of each should be mixed together in order to get a 280 pound mixture that is 12% protein1 solutions Answer 124754 by checkley77(12569)   on 2008-11-23 15:03:00 (Show Source): You can put this solution on YOUR website!.14x+.07(280-x)=.12*280 .14x+19.6-.07x=33.6 .07x=33.6-19.6 .07x=14 x=14/.07 x=200 pds. of soybeans is used. 280-200=80 pds. of cornmeal is uded. Proof: .14*200+.07*80=33.6 28+5.6=33.6 33.6=33.6
 Quadratic_Equations/169175: please help me solve this equation 1 solutions Answer 124753 by checkley77(12569)   on 2008-11-23 14:57:31 (Show Source): You can put this solution on YOUR website!x^3+5x=79.4 x^2+5x-79.4=0 Using the quadratic equationwe get: x=(-5+-sqrt[5^2-4*1*-79.4])/2*1 x=(-5+-sqrt[25+317.6 ])/2 x=(-5+-sqrt342.6)/2 x=(-5+-18.51)/2 x=-5+18.51)/2 x=13.51/2 x=6.755 ans. x=(-5-18.51)/2 x=-23.51/2 x=-11.755 ans.
 Travel_Word_Problems/169177: a length of a rectangle is fixed at 29cm; what widths would make the perimeter greater than 70 cm1 solutions Answer 124751 by checkley77(12569)   on 2008-11-23 14:44:58 (Show Source): You can put this solution on YOUR website!2*29+2x>70 58+2x>70 2x>70-58 2x>12 x>12/2 x>6 cm. needed for the width to get a perimeter greater than 70 cm.
 Problems-with-consecutive-odd-even-integers/169109: Three times the smallest of three consecutive even integers is two more than twice the largest. Find the integers. 1 solutions Answer 124730 by checkley77(12569)   on 2008-11-23 10:23:23 (Show Source): You can put this solution on YOUR website!Let x, x+2 & x+4 be the three integers. 3x=(x+4)+2 3x=x+6 3x-x=6 2x=6 x=6/2 x=3 ans. Proof: 3*3=(3+4)+2 9=7+2 9=9