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# Recent problems solved by 'checkley77'

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 Miscellaneous_Word_Problems/270820: In a small nursery, Becky can water all the plants in 30 minutes. Her co-worker, Karen, can water all the plants in 20 minutes. How long will it take them working together to water the plants?1 solutions Answer 198371 by checkley77(12569)   on 2010-02-17 16:48:24 (Show Source): You can put this solution on YOUR website!20*30/(20+30)=600/50=12 minutes will do it working together.
 Triangles/270840: The base of the right triangle D is 8 cm and the height is 6 cm. Find the perimeter. 1 solutions Answer 198368 by checkley77(12569)   on 2010-02-17 16:43:40 (Show Source): You can put this solution on YOUR website!a^2+b^2=c^2 6^2+8^2=c^2 36+64=c^2 100=c^2 c^2=100 c=sqrt100 c=10 ans. for the third side. P=a+b+c P=6+8+10 P=24 ans for the perimeter.
 Linear_Algebra/270857: y=3x+11 2x+3y=0 solve by sustitution1 solutions Answer 198364 by checkley77(12569)   on 2010-02-17 16:38:32 (Show Source): You can put this solution on YOUR website!y=3x+11 2x+3y=0 replace y with (3x+11) & solve for x. 2x+3(3x+11)=0 2x+9x+33=0 11x=-33 x=-33/11 x=-3 ans. y=3*-3+11 y=-9+11 y=2 ans. Proof: 2*-3+3*2=0 -6+6=0 0=0
 Equations/270866: what is the equation of the line in slope intercept form if the line passes through (1,6) and (-1,-2)?1 solutions Answer 198360 by checkley77(12569)   on 2010-02-17 16:33:39 (Show Source): You can put this solution on YOUR website!(1,6) and (-1,-2) Y=mX+b where m=slope & b=the Y intercept. m=(Y2-Y1)/(X2-X1) m=(-2-6)/(-1-1) m=-8/-2 m=4 is the slope. 6=4*1+b b=6-4 b=2 the Y intercept. Y=4X+2 ans. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 4x +2).
 Linear-equations/270867: what is the y-intercept of this linear equation?1 solutions Answer 198353 by checkley77(12569)   on 2010-02-17 16:24:42 (Show Source): You can put this solution on YOUR website!I don't see any equation but the standard line equation has a b term which is the Y intercept. Y=mX+b [b=the Y intercept.]
 expressions/270873: what is 2u^2v^2/22u simplified?1 solutions Answer 198350 by checkley77(12569)   on 2010-02-17 16:21:41 (Show Source): You can put this solution on YOUR website!2u^2v^2/22u cancel out one of the u terms & reduce 2/22 to 1/11. uv^2/11 ans.
 Coordinate-system/270879: y=1/2x 1 solutions Answer 198348 by checkley77(12569)   on 2010-02-17 16:17:40 (Show Source): You can put this solution on YOUR website! (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = x/2).
 Mixture_Word_Problems/270456: I've been trying to figure out how to do this problem: What fraction of 10% alcohol should be mixed with 70% alcohol to obtain 50% alcohol? I've been trying to use the alligations method, but not sure if that is the way to go about it...could you clarify the equation formula for me please? 1 solutions Answer 198173 by checkley77(12569)   on 2010-02-16 19:49:20 (Show Source): You can put this solution on YOUR website!.10x+.70y=.50(x+y) .10x+.70y=.50x+.50y .10x-.50x-.50y+.70y=0 .40x+.20y=0 This tells us that twice as much of the 70% solution (y) is used as the 10% solution (x). Proof: .10*1+.70*2=.50(1+2) .1+1.4=.5*3 1.5=1.5
 Money_Word_Problems/270457: 68\$ and 25cent divided by what equals 4 dollar and 50 cent?1 solutions Answer 198168 by checkley77(12569)   on 2010-02-16 19:37:22 (Show Source): You can put this solution on YOUR website!68.25/x=4.50 cross multiply 4.50x=68.25 x=68.25/4.50 x=91/6 Proof: 68.25/(91/6)=4.50 4.5*91/6=68.25 68,25=68.25
 Equations/270458: Find a number such that 6 more than one-half the number is two-thirds the number.1 solutions Answer 198165 by checkley77(12569)   on 2010-02-16 19:32:19 (Show Source): You can put this solution on YOUR website!x/2+6=2/3x x/2-2x/3=-6 (3x-2*2x)/(2*3)=-6 (3x-4x)/6=-6 -x/6=-6 -x=-6*6 -x=-36 x=36 ans. Proof: 36/2+6=2/3*36 18+6=72/3 24=24
 Percentage-and-ratio-word-problems/270475: find the rate of increase if the original price was \$25 and the new price is \$301 solutions Answer 198162 by checkley77(12569)   on 2010-02-16 19:28:14 (Show Source): You can put this solution on YOUR website!30/25=1.2 or a 20% increase.
 Percentage-and-ratio-word-problems/270479: a certain strain of virus grows in numbers at the rate of 50% per hour. If its present population is 200,000 what will be its population count in 3 hours1 solutions Answer 198160 by checkley77(12569)   on 2010-02-16 19:25:56 (Show Source): You can put this solution on YOUR website!200,000(1+.5)^3 200,000*1.5^3 200,000*3.375=675,000 ans.
 real-numbers/270388: Simplify 3(5x-4y+7)+8(-4x-2y)? 1 solutions Answer 198120 by checkley77(12569)   on 2010-02-16 17:47:44 (Show Source): You can put this solution on YOUR website!3(5x-4y+7)+8(-4x-2y) 15x-12y+21-32x-16y -17x-28y+21 ans.
 Polynomials-and-rational-expressions/270392: in maryland speed fine are determined by formula f=10(x-65) +50 where f is the cost in dollar of the fine if a person is caught drriving x miles per hours. a fine comes to \$400. how fast was the person speeding 1 solutions Answer 198119 by checkley77(12569)   on 2010-02-16 17:45:23 (Show Source): You can put this solution on YOUR website!f=10(x-65)+50 400=10(x-65)+50 400=10x-650+50 10x=400+650-50 10x=1,000 x=1,000/10 x=100 mph. was the speed.
 Quadratic_Equations/270397: How can I write the general form of an equation of the line that passes through two points? (1,4) (5,6). Thank you! 1 solutions Answer 198118 by checkley77(12569)   on 2010-02-16 17:41:14 (Show Source): You can put this solution on YOUR website!(1,4) (5,6) Y=mX+b m=slope & b= the Y intercept. m=(Y2-Y1)/(X2-X1) m=(6-4)/(5-1)=2/4=1/2 ans. for the slope. 4=1/2*1+b 4=1/2+b b=4-1/2 b=3 1/2 or 7/2 is the Y intercept. Y=X/2+7/2 line equation. (graph 300x200 pixels, x from -8 to 5, y from -10 to 10, x/2 +7/2).
 Finance/270398: tickets are \$56 dollars for adults and \$3 for kids 50 tickets were sold and there was \$4180 dollars total how many kids tikets were sold and hw many adult tickets were sold 1 solutions Answer 198117 by checkley77(12569)   on 2010-02-16 17:35:38 (Show Source): You can put this solution on YOUR website!Something is wrong with these figures. a+c=50 or c=50-a 56a+3c=4,180 56a+3(50-a)=4,180 56a+150-3a=4,180 53a=4,180-150 53a=4,030 a=4,030/53 a=76.04 not a valid ans. because it's > 50 tickets sold. --------------------------------------------------------------- If all the tickets sold were adults then: 50*56=\$2,800 You can't get \$4,180 for 50 tickets @ \$56 & \$3 dollars each.
 Travel_Word_Problems/270319: how long dose it take to go 450 ft at 25 mph 1 solutions Answer 198113 by checkley77(12569)   on 2010-02-16 17:13:31 (Show Source): You can put this solution on YOUR website!450/5,280=25x/25*1 cancel out the 25s. 450/5,280=x/1 5,280x=450 x=450/5,280 x=.0852 hours or 5.114 minutes.
 Equations/270340: Multipy A) (3-2x)^2 1 solutions Answer 198111 by checkley77(12569)   on 2010-02-16 17:03:54 (Show Source): You can put this solution on YOUR website!(3-2x) (3-2x) ---------- 9-6x-6x+4x^2 4x^2-12x+9 ans.
 Surface-area/270378: a cylinder-shaped water storage tank with diameter 60 feet and height 20 feet need to be painted on the out side. If the tank is on the ground the surface area that is needs painting.1 solutions Answer 198110 by checkley77(12569)   on 2010-02-16 16:58:48 (Show Source): You can put this solution on YOUR website!C=2pir C=2*3.14*60/2 C=6.28*30 C=188.4 is the circumferance. A=188.4*20=3,768 ft^2 is the surface area.
 Human-and-algebraic-language/270384: Julia, who is 1.51 m tall, wishes to find the height of a tree with a shadow 31.05 m long. She walks 20.70 m from the base of the tree along the shadow of the tree until her head is in a position where the tip of her shadow exactly overlaps the end of the tree top's shadow. How tall is the tree? Round to the nearest hundredth.1 solutions Answer 198108 by checkley77(12569)   on 2010-02-16 16:55:37 (Show Source): You can put this solution on YOUR website!1.51/x=(31.05-20.7)/31.05 1.51/x=10.35/31.05 10.35x=1.51*31.05 10.35x=46.8855 x=46.8855/10.35 x=4.53 m. for the height of the tree. P500f: 1.51/4.53=10.35/31.05 1/3=1/3
 Angles/270255: Two angles are supplmentary is their sum is 180 degrees. The larger angle measures eight degree more than three times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle.1 solutions Answer 198106 by checkley77(12569)   on 2010-02-16 16:46:56 (Show Source): You can put this solution on YOUR website!x+3x+8=180 4x=180-8 4x=172 x=172/4 x=43 degrees. 3*43+8=129+8=137 degrees. Proof: 43+137=180 180=180
 Linear-equations/270272: Roopa Patel won a prize for her work. She invested part of the money in a certificate of deposit at 4% and \$3000 more than that amount in a bond paying 6%. Her annual interest income was %780. How much did Roopa invest at each rate? 1 solutions Answer 198105 by checkley77(12569)   on 2010-02-16 16:42:51 (Show Source): You can put this solution on YOUR website!.04x+.06*(x+3,000)=780 .04x+.06x+180=780 .10x=780-180 .10x=600 x=600/.10 x=6,000 ans. for the amount invested @ 4%. 6,000+3,000=9,000 ans. for the amount invested @ 6%. Proof: .04*6,000+.06*9,000=780 240+540=780 780=780
 Miscellaneous_Word_Problems/270277: An investment portfolio of stocks and bonds, with an initial investment of \$120,000 gained \$30,800 over its life. If the stocks gained 32% and the bonds gained 16%, how much was invested in each?1 solutions Answer 198102 by checkley77(12569)   on 2010-02-16 16:38:09 (Show Source): You can put this solution on YOUR website!.32x+.16(120,000-x)=30,800 .32x+19,200-.16x=30,800 .16x=30,800-19,200 .16x=11,600 x=11,600/.16 x=72,500 amount that gained 32%. 120,000-72,500=47,500 amount that gained 16%. Proof: .32*72,500+.16*47,500=30,800 23,200+7,600=30,800 30,800=30,800
 Numbers_Word_Problems/270284: Cecelia takes 4 hours to do a job, it takes Aaron 6 hours to do the same job. How long will it take them working together to do the job?1 solutions Answer 198099 by checkley77(12569)   on 2010-02-16 16:31:14 (Show Source): You can put this solution on YOUR website!4*6/(4+6) 24/10=2.4 hours to complete the job working together.
 Travel_Word_Problems/270298: The maximum running speed of an elk over approximately quater- mile distance is about 45mph. The maximium speed of a grizzly bear is about 2/3 that of an elk. Find the running speed of a grizzly bear.1 solutions Answer 198098 by checkley77(12569)   on 2010-02-16 16:29:38 (Show Source): You can put this solution on YOUR website!2/3*45 90/3=30 mph. is the speed of the grizzly.
 Linear-equations/270300: Find the slope of the line 2x - 4y = 11 solutions Answer 198096 by checkley77(12569)   on 2010-02-16 16:27:27 (Show Source): You can put this solution on YOUR website!Y=mX+b Where m=slope & b=the y intercept. 2x-4y=1 -4y=-2x+1 y=-2x/-4+1/-4 y=x/2-1/4 slope(m)=1/2.
 Mixture_Word_Problems/270302: A baby weighing 2790 grams at birth is how many pounds/ounces?1 solutions Answer 198095 by checkley77(12569)   on 2010-02-16 16:22:32 (Show Source): You can put this solution on YOUR website!1 Pound=453.5923 Grams 1/453.5923=x/2,790 453.5923x=2,790 x=2,790/453.5923 x=6.15 Pounds or 6 pounds 2.4 Ounces.
 Linear_Equations_And_Systems_Word_Problems/270307: A veternarian needs a mixture that contains 12% of a certain mdeication to treat an injured bird. How many milliliters of a 16% solution should be mixed with 6mL of a 7% solution to obtain a solution that is 12% medication?1 solutions Answer 198086 by checkley77(12569)   on 2010-02-16 16:11:52 (Show Source): You can put this solution on YOUR website!.16X+.07*6=.12(X+6) .16X+.42=.12X+.72 .16X-12X=.72-.42 .04X=.30 X=.30/.04 X=7.5 ML OF 16% SOLUTION IS USED. PROOF: .16*7.5+.07*6=.12(7.5+6) 1.2+.42=.12*13.5 1.62=1.62
 Numbers_Word_Problems/270310: five times the sum of a number and seven is thirty1 solutions Answer 198083 by checkley77(12569)   on 2010-02-16 16:06:16 (Show Source): You can put this solution on YOUR website!5(X+7)=30 5X+35=30 5X=30-35 5X=-5 X=-5/5 X=-1 ANS. PROOF: 5(-1+7)=30 5*6=30 30=30
 Rectangles/270318: the perimeter is 36 inches and the length is 3 times the width. what is the length and width?1 solutions Answer 198081 by checkley77(12569)   on 2010-02-16 16:02:10 (Show Source): You can put this solution on YOUR website!L=3W 2L+2W=36 2(3W)+2W=36 6W+2W=36 8W=36 W=36/8 W=4.5 INCHES FOR THE WIDTH. L=3*4.5=13.5 INCHES FOR THE LENGTH. PROOF: 2*13.5+2*4.5=36 27+9=36 36=36
 Graphs/270320: Find the equation in slope-intercept form of the line satisfying the conditions m=2, passes through (7,-1) A. y=2x-15 B. y=2x+14 C. y=3x=16 D. y=2x-131 solutions Answer 198076 by checkley77(12569)   on 2010-02-16 15:52:08 (Show Source): You can put this solution on YOUR website!m=2, passes through (7,-1) Y=mX+B -1=2*7+b -1=14+b b=-1-14 b=-15 ANS. FOR THE Y INTERCEPT. Y=2X-15 (graph 300x200 pixels, x from -6 to 8, y from -16 to 10, 2x -15).