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# Recent problems solved by 'checkley77'

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 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
 Equations/250857: 2/3a +5 = 1/3 (5a +3)1 solutions Answer 184233 by checkley77(12569)   on 2009-12-27 10:38:41 (Show Source): You can put this solution on YOUR website!2/3a +5 = 1/3 (5a +3) 2a/3+5=(5a+3)/3 2a/3-(5a+3)/3=-5 (2a-5a-3)/3=-5 (-3a-3)/3=-5 -a-1=-5 -a=-5+1 -a=-4 a=4 ans. Proof: 2*4/3+5=(5*4+3)/3 8/3+5=(20+3)/3 8/3+15/3=23/3 23/3=23/3
 Permutations/252348: to find a 5 digit number divisible by 3 from digits {0,1,2,3,4,5,6} used with repitition1 solutions Answer 184228 by checkley77(12569)   on 2009-12-27 10:22:14 (Show Source): You can put this solution on YOUR website!33333/3=11111
 Age_Word_Problems/252355: The sum of the ages of Mingfa and his father is 34 years . In 4 years time , the square of Mingfa's age will be equal to his father's age . FInd Mingfa's present age1 solutions Answer 184227 by checkley77(12569)   on 2009-12-27 10:19:08 (Show Source): You can put this solution on YOUR website!M+F=34 OR F=34-M (M+4)^2=(F+4) M^2+8M+16=34-M+4 M^2+8M+M+16-34-4=0 M^2+9M-22=0 (M+11)(M-2)=0 M-2=0 M=2 YEARS OLD IS mINGFA'S AGE NOW. 2+F=34 F=34-2 F=32 AGE OF THE FATHER NOW. PROOF: (2+4)^2=32+4 6^2=36 36=36
 Miscellaneous_Word_Problems/252380: If Bryan wants to mail a package, which requires \$1.53 in postage, and has only 5-cent and 8-cent stamps, what is the smallest number of stamps he could use to total \$1.53?1 solutions Answer 184224 by checkley77(12569)   on 2009-12-27 10:05:19 (Show Source): You can put this solution on YOUR website!8*16+5*5=153 128+25=153 153=153 Answer=21 stamps (16 8 cent+5 5 cent stamps are needed.)
 Numbers_Word_Problems/252328: The difference between two numbersis 15.When twice the smaller number is subtracted from three times the larger number,the difference is 58.What is the larger number? Please help with equation. Thank you, Dana1 solutions Answer 184180 by checkley77(12569)   on 2009-12-26 16:40:18 (Show Source): You can put this solution on YOUR website!x-y=15 multiply this equation by -2 & add. 3x-2y=58 -2x+2y=-30 ---------------- x=28 ans. for the larger number. 28-y=15 -y=15-28 -y=-13 y=13 ans for the smaller number. Proof: 3*28-2*13=58 84-26=58 58=58
 Exponential-and-logarithmic-functions/251122: Evaluate the exponential equation for three values of x greater than -4, three values of x smaller than -4, and at x = -4. y = 3(x + 4) 1 solutions Answer 184178 by checkley77(12569)   on 2009-12-26 16:31:53 (Show Source): You can put this solution on YOUR website!y = 3(x + 4) Let x=-3,5,7 y=3(-3+4)=3*1=3 y=3(5+4)=3*9=27 y=3(7+4)=3*11=33 --------------- Let x=-5,-7,-9 y=3(-5+4)=3*-1=-3 y=3(-7+4)=3*-3=-9 y=3(-9+4)=3*-5=-15 -------------- Let x=-4 y=3(-4+4)=3*0=0
 Square-cubic-other-roots/251179: what is 1/2x+60 3/4-2x1 solutions Answer 184177 by checkley77(12569)   on 2009-12-26 16:18:45 (Show Source): You can put this solution on YOUR website!1/2x+60 3/4-2x x/2+60.75-2x .5x-2x+60.75 -1.5x+60.75 -1.5(x-40.5) ans.
 Quadratic_Equations/252322: Graph the problems below. Also provide a XY chart. with the given X values- -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 y = –3x2 – 6x – 5 y = x2 – 41 solutions Answer 184174 by checkley77(12569)   on 2009-12-26 15:37:58 (Show Source): You can put this solution on YOUR website!y = –3x2 – 6x – 5 (red curve) y = x2 – 4 (green curve) (graph 300x200 pixels, x from -6 to 6, y from -10 to 10, of TWO functions -3x^2 -6x -5 and x^2 -4). x**y (values for the red curve) 0**-5 1*-14 2*-29 3*-50 4*-221 5*410 -1*-2 -2*-5 -3*-14 -4*-29 -5*-50 -6*-77 x**y (values for the green curve) 0**-4 1*-3 2*0 3*5 4*12 5*21 6*32 -1=-3 -2*0 -3*5 -4*12 -5*21 -6*32
 Rectangles/252288: If the diagonal of a rectangle has length 7 feet and the rectangle’s area is 16 square feet, what is the perimeter of the rectangle in feet? a 10 feet b 15 feet c 18 feet d 23 feet e 26 feet 1 solutions Answer 184137 by checkley77(12569)   on 2009-12-26 10:11:03 (Show Source): You can put this solution on YOUR website!FOR THE AREA OF THE RECTANGLE: XY=16 OR X=16/Y FOR THE TRIANGLE: X^2+Y^2=7^2 (16/Y)^2+Y^2=49 (256/Y^2)+Y^2=49 (256+Y^4)/Y^2=49 256+Y^4=49Y^2 Y^4-49Y^2+256=0 Y^2=(49+-SQRT[-49^2-4*1*256])/2*1 Y^2=(49+-SQRT[2,401-1.024])/2 Y^2=(49+-SQRT1,377)/2 Y^2=(49+-37.108)/2 Y^2=(49+37.108)/2 Y^2=86.108/2 Y^2=43.05 Y=SQRT43.05 Y=6.56 ANS. THEN X=2.44 Y^2=(49-37.108)/2 Y^2=11.892/2 Y^2=5.95 Y=SQRT5.95 Y=2.44 ANS. THEN X=6.56 PROOFS: 6.56*2.44=16 16~16 6.56^2+2.44^2=49 43.03+5.954=49 49~49 tHUS THE PERIMETERIS: 2*6.56+2*2.44=13.12+4.88=18 FT. IS THE PERIMETER. ANSWER C)
 Travel_Word_Problems/252290: The Queens Midtown Tunnel is 6414 feet long. A train that is 186 feet long is traveling at a constant rate of 40 miles per hour. Compute the number of minutes from the time that the train enters the tunnel until it clears the tunnel. a. 1.25 min b. 1.6 min c. 1.875 min d. 2.1 min e. 2.375 min1 solutions Answer 184132 by checkley77(12569)   on 2009-12-26 09:40:58 (Show Source): You can put this solution on YOUR website!D=RT THE DISTANCE THE TRAIN HAS TO TRAVEL IS: 6,414+186=6,600 ft. 6,600=(40*5280/60)T 6,600=(211,200/60)T 6,600=3,520T T=6,600/3,520 T=1.875 MIN. ANSWER C).
 Numbers_Word_Problems/252291: How many distinct 3‐digit numbers have a digit sum of 8? a. 36 b. 42 c. 45 d. 46 e. 501 solutions Answer 184131 by checkley77(12569)   on 2009-12-26 09:39:26 (Show Source): You can put this solution on YOUR website!017 071 107 170 701 710 026 062 206 260 602 620 035 053 305 350 503 530 044 440 404 116 161 611 125 152 215 251 512 521 134 143 314 341 413 431 224 242 422 233 323 332 ANSWER b) 42 NUMBERS.
 Human-and-algebraic-language/251381: The mortgage department of the company is selling two model homes that are located on the same block. The square footage, as well as the type of model, determines the cost of these homes. The market gives a cost per square footage at \$49.70. How much will each home cost before upgrades/amenities? explain1 solutions Answer 184111 by checkley77(12569)   on 2009-12-25 20:07:54 (Show Source): You can put this solution on YOUR website!NEED MORE INFORMATION IN ORDER TO CALCULATE COST OF THE HOME.
 Systems-of-equations/251185: how do you solve linear systems by adding 1 solutions Answer 184110 by checkley77(12569)   on 2009-12-25 20:05:03 (Show Source): You can put this solution on YOUR website!3X-4Y=12 2X+4Y=-2 NOW ADD. -------------------- 5X+0=10 5X=10 X=10/5 X=2 ANS. 3*2-4Y=12 6-4Y=12 -4Y=12-6 -4Y=6 Y=6/-4 Y=-1.S ANS. PROOF: 2*2+4*-1.5=-2 4-6=-2 -2=-2
 Miscellaneous_Word_Problems/251168: If the sides of a triangle are in the ratio 3:4:5. what is the length of each side, if the perimeter of the triangle is 66cm?1 solutions Answer 184109 by checkley77(12569)   on 2009-12-25 19:57:13 (Show Source): You can put this solution on YOUR website!3X+4X+5X=66 12X=66 X=66/12 X=5.5 IS THE MULTIPLIER FOR EACH OF THE RATIOS. 3*5.5=16.5 4*5.5=22 5*5.5=27.5 PROOF: 16.5+22+27.5=66 66=66
 Miscellaneous_Word_Problems/251153: The Earth takes approximately 365.25 days to orbit the Sun. The Earth's orbit is nearly circular with a radius of 92 million miles. Using these approximations, calculate the speed (in miles per hour) of the Earth as it orbits the sun. A.32,971 B.65,943 C.10,495 D. 251,882 E.1,582,622 1 solutions Answer 184107 by checkley77(12569)   on 2009-12-25 19:54:22 (Show Source): You can put this solution on YOUR website!D=RT R=D/T R=(2*3.14*92*10^6)/(365.25*24) R=(6.28*92*10^6)/8,766 R=5.7776*10^8/8,766 R=65,909 MPH. ANSWER B)
 Evaluation_Word_Problems/250851: Shopping at Savers Mart, Lisa buys her children four shirts and three pairs of pants for \$85.50. She returns that day and buys three shirts and five pairs of pants for \$115.00. What is the price of each shirt and each pair of pants?1 solutions Answer 184106 by checkley77(12569)   on 2009-12-25 19:36:18 (Show Source): You can put this solution on YOUR website!4s+3p=85.50 multiply this equation by 3. 3s+5p=115.00 multiply this equation by -4 & add them. 12s+9p=256.50 -12s-20p=-460 ------------------- -11p=-203.5 p=-203.50/-11 p=\$18.50 is the price of each pair of pants. 4s+3*18.50=85.50 4s+55.50=85.50 4s=85.50-55.50 4s=30 s=30/4 s=\$7.50 is the price of each shirt. Proof: 3*7.50+5*18.50=115.00 22.50+92.50=115.00 115.00=115.00
 Money_Word_Problems/252254: an invested company pays 5% interest compounded semiannually. you want to have \$16000 in the future, how much should you deposit now to have that amount 5 years from now? Thank you1 solutions Answer 184101 by checkley77(12569)   on 2009-12-25 19:02:13 (Show Source): You can put this solution on YOUR website!x(1+.05/2)^5*2=16,000 x(1+.025)^10=16,000 x(1.025)^10=16,000 x*1.28=16,000 x=16,000/1.28 x=\$12,500 is the necessary investment to have \$16,000 in 5 years.
 Rational-functions/252263: choose all rational numbers, .53928305923 .53 .342958293 100000000000.2 .535353531 solutions Answer 184098 by checkley77(12569)   on 2009-12-25 18:26:39 (Show Source): You can put this solution on YOUR website!A rational number is one that can be written in the form a/b where a & b are integers & b is not = zero. Every rational number has an equivilent decimal that either terminates or repeats. .53928305923 not rational .53 rational .342958293 not rational 100000000000.2 rational .53535353 rational
 Percentage-and-ratio-word-problems/252264: the sum of two numbers is negative. one addend is negative. could the other addend be positive? could the other addend be negative? a bookstoreis having a sale in which all paperbacks are \$6 each. the store is limiting the number of books a costumer can buy to 8? a. use the number books that a costumer can buy to write a domain for this problem. b. if Katrese does not want to spend more than \$25, the number of books she might buy, b is given by the expression 6b is less than or equal to 25. find the solution set of this open sentense using the domain from part a. how many books can katrese buy 1 solutions Answer 184095 by checkley77(12569)   on 2009-12-25 18:12:14 (Show Source): You can put this solution on YOUR website!Yes & Yes. -6+2=-4 -6-8=-14 ------------------- Let x be the number of books A) x<=8 ans. B)6x<=25 x<=25/6 x<=4.1666 or she can buy 4 books.
 Miscellaneous_Word_Problems/252259: The recipe calls for four dry ingredients:1/8 tsp nutmeg,1/2 tsp salt,1/4 tsp dried mustard,1 1/2 tsp dried parsley,How many tsp of dry ingred.are there total?1 solutions Answer 184092 by checkley77(12569)   on 2009-12-25 17:50:33 (Show Source): You can put this solution on YOUR website!1/8+1/2+1/4+1 1/2 1/8+1/2+1/4+3/2 (1+4+2+4*3)/8 (1+4+2+12)/8 19/8=2 3/8 tsp. ans.
 Percentage-and-ratio-word-problems/252262: There were 600 kids invited to an ice cream party,7/10 of the kids had vanilla ice cream,1/4 had chocolate ice cream.The rest had an ice cream sandwich, How many kids had a vanilla ice cream cone and how many kids had an ice cream sandwich?1 solutions Answer 184090 by checkley77(12569)   on 2009-12-25 17:46:49 (Show Source): You can put this solution on YOUR website!.7*600=420 kids had vanilla ice cream. .25*600=150 kids had chocolate ice cream. 600-420-150=600-570=30 kids had an ice cream sandwich..
 Proportions/252216: WHAT ARE TWO PROPORTIONS FOR 1/31 solutions Answer 184065 by checkley77(12569)   on 2009-12-25 10:02:11 (Show Source): You can put this solution on YOUR website!1/3=2/6=3/9=4/12
 Proportions/252217: WHAT ARE TWO PRPORTIONS OR 2/5 1 solutions Answer 184063 by checkley77(12569)   on 2009-12-25 10:01:04 (Show Source): You can put this solution on YOUR website!2/5=4/10=3/7.5=6/15=8/20
 Mixture_Word_Problems/252219: A chemist needs 80milliliters of a 25% solution but only has a 22% and a 30% solution available. find how many Milliliters of each solution should be mixed to get the desired solution1 solutions Answer 184062 by checkley77(12569)   on 2009-12-25 09:57:45 (Show Source): You can put this solution on YOUR website!.30x+.22(80-x)=.25*80 .30x+17.6-.22x=20 .08x=20-17.6 .08x=2.4 x=2.4/.08 x=30 ml. of 30% solution is used. 80-30=50 ml. of 22% solution is used. Proof: .30*30+.22*50=.25*80 9+11=20 20=20
 Functions/252224: Find the y intercept of the line through A(1, 2) and B(-3, -4)?1 solutions Answer 184059 by checkley77(12569)   on 2009-12-25 09:50:20 (Show Source): You can put this solution on YOUR website!First we find the slope. Slope=(y2-y1/(x2-x1)=(-4-2)/(-3-1)=-6/-4=1.5. Y=mX+b 2=1.5*1+b 2=1.5=b b=2-1.5 b=.5 ans. for the Y intercept. Y=1.5X+.5 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 1.5x +.5).
 Miscellaneous_Word_Problems/252235: A cube measuring 4 inches on a side is painted. It is then cut into 64 one-inch cubes. One of the smaller cubes is tossed and it is noted that none of the 5 faces showing is painted. How many of the 64 cubes could have this result? A. 8 B. 9 C. 24 D. 32 E. 331 solutions Answer 184056 by checkley77(12569)   on 2009-12-25 09:43:43 (Show Source): You can put this solution on YOUR website!There are 4 center cubes on each of the 6 sides that have only one side painted. Therefore there are 4*6=24 such smaller cubes. ANSWER C)
 Mixture_Word_Problems/251187: A population of iguanas on the Galapagos Islands has 20 individuals with webbed feet and 180 individuals with the dominant trait of non-webbed feet. What are the frequencies of webbed feet and non-webbed feet traits in this population?1 solutions Answer 184008 by checkley77(12569)   on 2009-12-24 19:14:48 (Show Source): You can put this solution on YOUR website!20/(20+180)=20/200=1/10 is the ratio of webbed to non-webbed feet iguanas. 180/200=9/10 is the ration of non-webbed to webbed feet iguanas.
 Money_Word_Problems/252208: If you invest \$500 in an account that earns 3.6% interest, compute the value of your investment after one year compounding quarterly.1 solutions Answer 184007 by checkley77(12569)   on 2009-12-24 19:09:34 (Show Source): You can put this solution on YOUR website!500(1+.036/4)^1*4 500(1+.009)^4 500*1.009^4 500*1.0365=\$518.24 amount of investment after one year.
 Probability-and-statistics/251977: Accounting procedures allow a business to evaluate their inventory at LIFO (Last In First Out) or FIFO (First In First Out). A manufacturer evaluated its finished goods inventory (in \$ thousands) for five products both ways. Based on the following results, is LIFO more effective in keeping the value of his inventory lower? Product FIFO (F) LIFO (L) 1 225 221 2 119 100 3 100 113 4 212 200 5 248 245 1 solutions Answer 184001 by checkley77(12569)   on 2009-12-24 16:55:10 (Show Source): You can put this solution on YOUR website!Product FIFO LIFO 1 225 221 2 119 100 3 100 113 4 212 200 5 248 245 ------------------------- ADD *904**875 LIFO RESULTS IN A SMALLER INVENTORY.
 Rectangles/252045: There is a rectangle of length 8inches and breadth 4.5 inches. We have to bisect this rectangle into two equal parts and if we join the pieces the resultant should be a square of 6 inch side. Can anyone give a solution on this?1 solutions Answer 184000 by checkley77(12569)   on 2009-12-24 16:48:36 (Show Source): You can put this solution on YOUR website!**2 IN. | _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ |******|*****************| |1.5IN*|***2 IN.**********| |******|_ _ _ _ ***********| |************|***********| |************|**2 IN.*****| |************|_ _ _ _******| |******************|******| |******************|******| |******************|*2 IN.*| _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ THE CUT FROM THE TOP IS: 2 INCHES FROM THE UPPER RIGHT CORNER, CUT DOWN 1.5 INCHES. NOW CUT 2 INCHES TO THE RIGHT, THEN 1.5 INCHES DOWN, 2 INCHES TO THE RIGHT & 1.5 INCHES DOWN. NOW SLIDE THE RIGHT HAND PIECE UP 1.5 INCHES & 2 INCHES TO THE LEFT. YOU NOW HAVE A 6 BY 6 INCH SQUARE.