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Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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Linear_Equations_And_Systems_Word_Problems/250284: a boat travels 210 miles downstream and back. the trip downstream took 10 hours. the trip back took 70 hours. what is the speed of the boat in still water? what is the speed of the current? 1 solutions Answer 185309 by checkley77(12569)   on 2010-01-02 15:42:56 (Show Source): You can put this solution on YOUR website! D=RT LET B=THE SPEED OF THE BOAT & C=THE SPEED OF THE CURRENT. 105=(B+C)10 105=(B-C)70 10(B+C)=70(B-C) 10B+10C=70B-70C 10B-70B=-70C-10C -60B=-80C B=-80C/-60 B=1.333C 105=(1.333C+C)10 105=2.333C*10 105=23.33C C=105/23.33 C=4.5 MPH. FOR THE CURRENT. 1.333*4.5=6 MPH. FOR THE SPEED OF THE BOAT. PROOF: 105=(1.333*-4.5-4.5)70 105=(6-4.5)*70 105=1.5*70 105=105

test/252941: Write the equation for a horizontal line passing through the point of (6,18)? Thanks so much, Anieyiella Muchado-Rievves Miami, Flevoland, Fl 33052 1 solutions Answer 185098 by checkley77(12569)   on 2010-01-01 16:26:25 (Show Source): You can put this solution on YOUR website! Y=18 ans. (graph 300x200 pixels, x from -6 to 5, y from -10 to 20, y = 18).

Linear-equations/252939: Can you help me to solve this problem? Find the solution to each system by addition(elimination)method. 3x - 11y = 9 and -9x + 33y = 18 1 solutions Answer 185094 by checkley77(12569)   on 2010-01-01 16:21:44 (Show Source): You can put this solution on YOUR website! 3x-11y=9 multply by 3 & add. -9x+33y=18 9x-33y=27 ------------------- 0x+0y=45 3x-11y=9 -11y=-3x=9 These two lines are parallel line. Thus there is no solution for x & y. y=-3x/-11+8/-11 y=3x/11-8/11 (red line) -9x+33y=18 33y=9x+18 y=9x/33+18/33 (green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 3x/11 -8/11 and 9x/33 +18/33.

Points-lines-and-rays/250431: A landscaper wants to put a cement walk with uniform width around a garden that measures 20x40 feet, She has enough cement to cover 660 ft squared. How wide should it be to us all the cement? 1 solutions Answer 185089 by checkley77(12569)   on 2010-01-01 16:08:29 (Show Source): You can put this solution on YOUR website! 20*40+660=(20+x)(40+x) 800+660=800+60x+x^2 x^2+60x-660=0 x=(-60+_sqrt[60^2-4*1*-660])/2*1 x=(-60+-sqrt[3600+2640])/2 x=(-60+-sqrt6240)/2 x=(-60+-78.99)/2 x=(-60+78.99)/2 x=19.99/2 x=9.497 ans. for the width of the cement walk. Proof: 20*40+660=(20+9.497)(40+9.497) 800+660=29.497*49.497 1460~1460

Polynomials-and-rational-expressions/250461: Originally the dimensions of a rectangle were 20 cm by 23 cm. When both dimensions were decreased by the same amount, the area of the rectangle decreased by 120 cm (squared). Find the dimensions of the new rectangle. 1 solutions Answer 185083 by checkley77(12569)   on 2010-01-01 15:48:14 (Show Source): You can put this solution on YOUR website! (20-x)(23-x)=20*23-120 460-43x+x^2=460-120 x^2-43x+460-460+120=0 x^2-43x+120=0 (x-40)(x-3)=0 x-3=0 x=3 cm. is the decrease in size of both sides. Proof: (20-3)(23-3)=20*23-120 17*20=460-120 340=340

Money_Word_Problems/250497: A club is selling candles to raise money. It costs $100 to rent the spot to sell the candles. If the candles cost the club $1 each and are being sold for $5 each, how many candles must be sold to equal the expenses? 1 solutions Answer 185081 by checkley77(12569)   on 2010-01-01 15:36:38 (Show Source): You can put this solution on YOUR website! 100+1x=5x 1x-5x=-100 -4x=-100 x=-100/-4 x=25 candles must be sold to equal expenses. Proof: 100+1*25=5*25 125=125

Money_Word_Problems/250524: i invest £600 for 4 years at 9% intrest p/a how much is there after 4 years 1 solutions Answer 185079 by checkley77(12569)   on 2010-01-01 15:33:27 (Show Source): You can put this solution on YOUR website! 600(1+.09)^4 600(1.09)^4 600*1.41158=$846.95 ans.

Money_Word_Problems/250509: Roberto invested some money at 7%,and the invested $2000 more than twice this amount at 11%. His total annual income from the two investments was $3990. How much was invested at 11%? 1 solutions Answer 185077 by checkley77(12569)   on 2010-01-01 15:29:25 (Show Source): You can put this solution on YOUR website! .07x+.11(2,000+2x)=3,990 .07x+220+.22x=3,990 .29x=3,990-220 .29x=3,770 x=3,770/.29 x=13,000 ans. for the amount invested @ 7% 2,000+2*13,000=2,000+26,000=28,000 ans. for the amount invested @ 11%. Proof: .07*13,000+.11*28,000=3,990 910+3,080=3,990 3,990=3,990

Miscellaneous_Word_Problems/252896: The daily newspaper always follows a particular format. Each even-numbered page contains 6 articles and each odd-numbered page contains 7 articles. If today paper has 36 pages, how many articles does it contain ? (A) 282 (B) 249 (C) 234 (D) 220 (E) 180 1 solutions Answer 185009 by checkley77(12569)   on 2010-01-01 10:40:45 (Show Source): You can put this solution on YOUR website! THERE ARE 36/2=18 PAIR OF ODD-EVEN PAGES. EACH PAIR HAS 6+7=13 ARTICLES. 18*13=234 TOTAL ARTICLES. ANSWER C).

Percentage-and-ratio-word-problems/252899: A business is owned by 3 men and 1 women, each of whom has an equal share . If one of the men sells 1/2 of his share to the woman, and another of the men keeps 2/3 of his share and sells the rest to the woman, what fraction of the business will the woman own ? (A) 5/24 (B) 11/24 (C) 1/2 (D) 13/24 (E) 11/6 1 solutions Answer 185008 by checkley77(12569)   on 2010-01-01 10:31:15 (Show Source): You can put this solution on YOUR website! The woman starts with 1/4 share & each of the three men start with 1/4 share. Thus the woman's share increases by: 1/4+1/2*1/4+1/3*1/4 1/4+1/8+1/12 now find a common denominator & add. (6+3+2)/24=11/24 is the woman's final shares. ANSWER B).

Divisibility_and_Prime_Numbers/252900: When n is divided by 5, the remainder is 4. When n is divided by 4, the remainder is 3. If 0 < n < 100, what is one possible value of n ? 1 solutions Answer 185004 by checkley77(12569)   on 2010-01-01 10:10:13 (Show Source): You can put this solution on YOUR website! n/5+4=n/4+3 n/5-n/4=3-4 (4n-5n)/4*5=-1 -5n/20=-1 -n=-20 n=20 ans. Proof: 20/5+4=20/4+3 4+4=5+3 8=8

Miscellaneous_Word_Problems/252884: {1,2,3,K 175,176,177,178 } How many numbers in the set above have 5 as a factor but do not have 10 as a factor? (A) 1 (B) 3 (C) 4 (D) 17 (E) 18 1 solutions Answer 185000 by checkley77(12569)   on 2010-01-01 09:50:13 (Show Source): You can put this solution on YOUR website! 5,15,25,35,45,55,65,75,85,95,105,115,125,135,145,155,165,175 ANSWER E)18.

Miscellaneous_Word_Problems/252881: Three boys have marbles in the ratio 19 : 5 : 3. If the boy with the least number has 9 marbles, how many marbles does the boy with the greatest number have? (A) 57 (B) 62 (C) 48 (D) 54 (E) 70 1 solutions Answer 184998 by checkley77(12569)   on 2010-01-01 09:32:57 (Show Source): You can put this solution on YOUR website! 3:9=19:x 3x=9*19 3x=171 x=171/3 x=57 ans. for the greatest number of marbles. ANSWER A).

Miscellaneous_Word_Problems/252841: An airplane begins a flight with a total of 36.0 gal. of fuel stored in two separate wing tanks. During the flight, 25.0% of the fuel in one tank is used, and in the other tank, 37.5% of the fuel is used. If the total fuel used is 11.2 gal., find the amounts x and y stored in each tank. Please help me. I am suppose to show my work but everytime I try to do this problem I get something completely wrong. 1 solutions Answer 184953 by checkley77(12569)   on 2009-12-31 16:22:35 (Show Source): You can put this solution on YOUR website! x+y=36 multiply by -.25 & add. .25x+.375y=11.2 -.25x-.25y=-9 ---------------- .125y=2.2 y=2.2/.125 y=17.6 amount of gas in one tank. x+17.6=36 x=36-17.6 x=18.4 gallons of gas in the other tank. Proof: .25*18.4+.375*17.6=11.2 4.6+6.6=11.2 11.2=11.2

Miscellaneous_Word_Problems/252782: A road is to be constructed perpendicular to an established road. A surveyor determines that the original road passes through the points (4,9) and (2,13). The roads must intersect at (4,9) Write the equation of the second road. 1 solutions Answer 184904 by checkley77(12569)   on 2009-12-31 10:32:54 (Show Source): You can put this solution on YOUR website! I always thought perpendicular meant at right angles rather than parallel? First road slope: Slope=(13-9)/(2-4)=4/-2=-2 Equation for the original road: y=-2x+9 (red line) Parallel road slope=-2 Y=mX+b 9=-2*4+b 9=-8+b b=9+8 b=17 is the Y intercept of the parallel road. Equation for the pasrallel road. (green line) (graph 300x200 pixels, x from -6 to 10, y from -10 to 20, of TWO functions -2x +9 and -2x +17).

Mixture_Word_Problems/250635: There are twelve possible pentominoes. Create a rectangle using each of the pentominoes exactly once. Show your work. 1 solutions Answer 184901 by checkley77(12569)   on 2009-12-31 10:24:19 (Show Source): You can put this solution on YOUR website! I have a program that solves this problem. It produces 2,339 unique solutions using a 6 by 10 rectangle, a 5 by 12 rectangle with 1,010 solutions, a 4 by 15 rectangle with 1,424 solutions and a 3 by 20 rectangle with 2 solutions. I don't think you'd be interested in the c++ program that does the work. Besides I can't find a way to draw these rectangles with all the pieces in this system.

Money_Word_Problems/250638: The city council has decided to add a 0.3% tax on motel and hotel rooms. If a traveler spends the night in a motel room that costs $55 before taxes, how much will the city receive in taxes from him? 1 solutions Answer 184897 by checkley77(12569)   on 2009-12-31 10:14:15 (Show Source): You can put this solution on YOUR website! .003*55=$.165 or $.17 is what the city will collect.

Geometry_Word_Problems/250818: How can you cut a board with dimensions 8ft by 3ft to cover a hole with dimensions 12ft by 2ft if you can only make one cut in the board? 1 solutions Answer 184896 by checkley77(12569)   on 2009-12-31 10:09:59 (Show Source): You can put this solution on YOUR website! ********8 ft. |----------------| |--------|4 ft.** |**3 ft. |***4 ft.|-------| |----------------| A cut is made 1 ft.below the upper left corner to the right for 4 ft. then down 1 ft. and then to the right another 4 ft. Now slide the top piece 4 ft. to the right and down 1 ft. Now you have a 12 by 2 ft. piece to cover the hole.

Coordinate-system/252747: Find the slope and the y-intercept of the line represented by 5x– 7y = –6. 1 solutions Answer 184879 by checkley77(12569)   on 2009-12-31 09:21:17 (Show Source): You can put this solution on YOUR website! 5x-7y=-6 -7y=-5x-6 y=-5x/-7-6/-7 y=5x/7+6/7 Y=mX+b m=slope & b= Y intercept. Slope=5/7. Y intercept=6/7 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 5x/7 +6/7).

Rate-of-work-word-problems/252767: eight less than three times a number is 36 more than one-fourth of the number. Find the number. 1 solutions Answer 184878 by checkley77(12569)   on 2009-12-31 09:15:34 (Show Source): You can put this solution on YOUR website! 3x-8=x/4+36 3x-x/4=36+8 2.75x=44 x=44/2.75 x=16 answer. Proof: 3*16-8=8/4+36 48-8=4+36 40=40

Rational-functions/252775: tickets for the homecoming dance cost $20 for a single, and $35 for a couple. ticket sales totaled $2280, and 128 people attended. how many tickets of each type were sold? 1 solutions Answer 184876 by checkley77(12569)   on 2009-12-31 09:12:05 (Show Source): You can put this solution on YOUR website! x+2y=128 multiply by -20 & add. 20x+35y=2280 -20x-40y=-2560 --------------------- -5y=-280 y=-280/-5 y=56 number of couples tickets sold. 20x+35*56=2280 20x+1960=2280 20x=2280-1960 20x=320 x=320/20 x=16 number of single tickets sold. Proof: 16+2*56=128 16+112=128 128=128

Sequences-and-series/252800: What is the 704th term of the repeating sequence: 824198241982419… A) 8 B) 2 C) 4 D) 1 E) 9 1 solutions Answer 184869 by checkley77(12569)   on 2009-12-31 08:44:53 (Show Source): You can put this solution on YOUR website! 704/5=140 4/5 Therefore the last term of this 704 digit number is 1. ANSWER D).

Travel_Word_Problems/252594: An airplane travels 260 miles per hour into a 50 mile per hour head wind. On the return trip the wind has slowed to 25 miles per hour and the plane averages 335 miles per hour. How fast would the plane have gone with no wind on either leg? 1 solutions Answer 184597 by checkley77(12569)   on 2009-12-29 15:54:32 (Show Source): You can put this solution on YOUR website! 260+50=335-25 310=310 is the speed of the plane with no wind.

Expressions-with-variables/252590: Solve for x: 2x over 3 minus 2x+3 over 5 = x-5 over 3 1 solutions Answer 184592 by checkley77(12569)   on 2009-12-29 15:40:19 (Show Source): You can put this solution on YOUR website! 2x/3-(2x+3)/5=(x-5)/3 find the lcd. 3*5=15 is the lcd. [5*2x-3(2x+3)]/15=5(x-5)/15 (10x-6x-9)/15=(5x-25)/15 cancel out the denominators. 4x-9=5x-25 4x-5x=-25+9 -x=-16 x=16 ans. Proof: 2*16/3-(2*16+3)/5=(16-5)/3 32/3-(32+3)/5=11/3 5*32-3*35)/15=5*11/15 160-105/15=55/15 55/15=55/15

Expressions-with-variables/250794: At the basketball game, they charge $4 for each ticket and they expect to make $75 in concessions. The team must pay the two referees $100 each and pay the ticket taker $25. Each fan gets a free noise maker that costs the team $0.25 each. How many tickets must be sold to break even? 1 solutions Answer 184586 by checkley77(12569)   on 2009-12-29 15:24:58 (Show Source): You can put this solution on YOUR website! 4x+75=2*100+25+.25x 4x-.25x=200+25-75 3.75x=150 x=150/3.75 x=40 tickets must be sold in order to break even. Proof: 4*40+75=200+25+.25*40 160+75=225+10 235=235

Square-cubic-other-roots/252569: what is 4 times the square root of 140 in simplest radical form? 1 solutions Answer 184582 by checkley77(12569)   on 2009-12-29 15:10:16 (Show Source): You can put this solution on YOUR website! 4sqrt140 4sqrt(4*35) 4*2sqrt35 8sqrt35 ans.

Angles/252586: an angles measure is 43 degrees less than 6 times the measure of its complement. find the measure of both angles. 1 solutions Answer 184578 by checkley77(12569)   on 2009-12-29 15:02:42 (Show Source): You can put this solution on YOUR website! x=6y-43 x+y=90 (6y-43)+y=90 6y-43+y=90 7y=90+43 7y=133 y=133/7 y=19 ans for the smaller angle. x=6*19-43 x=114-43 x=71 ans. Proof 19+71=90 90=90

absolute-value/252542: Help me Find each product. I really don't know where to begin. I am trying hard but none of this is making since to me. I want to grow a love for math so please help me (3x -5) (2x + 1) 1 solutions Answer 184509 by checkley77(12569)   on 2009-12-29 08:47:59 (Show Source): You can put this solution on YOUR website! (3x -5) (2x + 1) multiply: ----------------- 6x^2-10x+3x-5 6x^2-7x-5 ans.

Mixture_Word_Problems/250904: thirty kg of nickel that was 38% pure was mixed with a nickel alloy that was 28%pure. how many kg of each kind were used to produce and alloy that was 32% pure. 1 solutions Answer 184508 by checkley77(12569)   on 2009-12-29 08:44:14 (Show Source): You can put this solution on YOUR website! .38*30+.28x=.32(30+x) 11.4+.28x=9.6+.32x .28x-.32x=9.6-11.4 -.04x=-1.8 x=-1.8/-.04 x=45 kg. of 28% alloy ans. Proof: .38*30+.28*45=.32(30+45) 11.4+12.6=.32*75 24=24

Reduction-of-unit-multipliers/250909: 36. Estimate each of the following, indicating if the actual answer is greater than or less than the estimate. a. 29/15 + 198/199 b. 5 12/13 + 2 9/10 + 19/20 c. 10 4/9 - 5 1/2 + 99/100 1 solutions Answer 184505 by checkley77(12569)   on 2009-12-29 08:24:02 (Show Source): You can put this solution on YOUR website! a. 29/15 + 198/199 Actual: 1.9333+.99498=2.9283 Estimate: 30/15+200/200=2+1=3 estimate is greater. b. 5 12/13 + 2 9/10 + 19/20 Actual:5.923+2.9=8.823 Estimate:6+3=9 estimate is greater. c. 10 4/9 - 5 1/2 + 99/100 Actual 10.4-5.5=4.9 Estimate: 10-6=4 estimate is less.

Age_Word_Problems/252382: Four years from now Jackie will be twice mary's age. mary is now 3, how old is jackie? 1 solutions Answer 184236 by checkley77(12569)   on 2009-12-27 10:42:55 (Show Source): You can put this solution on YOUR website! M=3 J+4=2(3+4) J+4=2*7 J=14-4 J=10 YEARS OLD IS JACKIE NOW. PROOF: 10+4=2*7 14=14