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# Recent problems solved by 'checkley77'

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 Percentage-and-ratio-word-problems/359339: if 1 inch on a map represents 40 miles,than 2.5 inches = ?1 solutions Answer 256433 by checkley77(12569)   on 2010-10-20 19:27:40 (Show Source): You can put this solution on YOUR website!1/40=2.5/X CROSS MULTIPLY. X=40*2.5 X=100 MILES.
 Money_Word_Problems/359344: Money is invested in a "guaranteed fund" at 12% simple interest. After one year, there is 840 in your account. How much was originally invested?1 solutions Answer 256431 by checkley77(12569)   on 2010-10-20 19:24:15 (Show Source): You can put this solution on YOUR website!X*.12X=840 1.12X=840 X=840/1.12 X=\$750 WAS THE ORIGINAL INVESTMENT.
 Rectangles/359349: the perimeter of a rectangle is 80 inches. its length is four times as long as it's width. what is the area of the rectangle1 solutions Answer 256428 by checkley77(12569)   on 2010-10-20 19:17:51 (Show Source): You can put this solution on YOUR website!L=4W 2L+2W=P 2*4W+2W=80 8W+2W=80 10W=80 W=80/10 W=8 ANS. FOR THE WIDTH. L=4*8=32 ANS FOR THE LENGTH.PROOF: 2*32+2*8=80 64+16=80 80=80 AREA=8*32=256 IN^2 IS THE AREA.
 Quadratic_Equations/359285: Very lost please help me Solve The solution is X= ??? 1 solutions Answer 256427 by checkley77(12569)   on 2010-10-20 19:13:43 (Show Source): You can put this solution on YOUR website!6x^4-19x^2+15=0 (3x^2-5)(2x^2-3)=0 3x^-5=0 3x^=5 x^2=5/3 x=sqrt5/3 x=1.29 ans. 2x^2=3 x^2=3/2 x^2=1.5 x=sqrt1.5 x=1.225 ans.
 Radicals/359288: Find the following ^18sqrt(-10)^18 simplify please help me i am lost1 solutions Answer 256425 by checkley77(12569)   on 2010-10-20 19:04:36 (Show Source): You can put this solution on YOUR website!Is there supposed to be a value before the first ^? (?)^18sqrt(-10)^18
 Expressions-with-variables/359296: I have a problem, Please help. -12n - 19 =77 ans. -8 is that correct?1 solutions Answer 256424 by checkley77(12569)   on 2010-10-20 19:00:43 (Show Source): You can put this solution on YOUR website! -12n - 19 =77 -12n=77+19 -12n=96 n=96/-12 n=-8 ans.
 Linear-systems/359298: Solve by process of elimination: n+d+q=75 .05n+.10d+0.75q=7.25 n=5d *this question is dealing with coins*1 solutions Answer 256423 by checkley77(12569)   on 2010-10-20 18:58:25 (Show Source): You can put this solution on YOUR website!n+d+q=75 .05n+.10d+[0.75]q=7.25 should be .25q. n=5d 5d+d+q=75 6d+q=75 ---------- .05(5d)+.10d+.25q=7.25 .25d+.10d+.25q=7.25 .35d+.25q=7.25 multiply by -4 & add. --------------------- -1.40d-q=-29 6d+q=75 ------------ 4.6d=46 d=46/4.6 d=10 dimes n=5*10=50 nickrls. 10+50+q=75 60+q=75 q=75-60 q=15 quarters. Proof: .05*50+.10*10+.25*15=7.25 2.50+1.00+3.75=7.25 7.25=7.25
 Problems-with-consecutive-odd-even-integers/359312: In a kennal,a cocker spaniel,a bulldog,and a greyhound all give birth to litters. The number of pups in the litter are consecutive integers (in the order:cocker spaniel,bulldog,greyhound.) The first integer increased by twice the second exceeds the third by 10. How many puppies does each dog have?1 solutions Answer 256422 by checkley77(12569)   on 2010-10-20 18:42:20 (Show Source): You can put this solution on YOUR website!X, X+1 & X+2 ARE THE THREE INTEGERS. X+2(X+1)=(X+2)+10 X+2X+2=X+12 3X-X=12-2 2X=10 X=5 ANS. FOR THE PUPS FOR TYHE SPANIEL. 5+1=6 ANS. FOR THE PUPS FOR THE BULLDOG 5+2=7 ANS. FOR THE PUPS FOR THE GREYHOUND. PROOF: 5+2*6=7+10 5+12=17 17=17
 absolute-value/359316: I have a value on absolute value equations! Why in some problems you get the same answer: for example x= 8 and x= -8, and in other problems you get two different answers: for example x= 3 and x= 7? Also, how do you know in which problems if you will get the same answer or if you will get different answers?1 solutions Answer 256420 by checkley77(12569)   on 2010-10-20 18:33:10 (Show Source): You can put this solution on YOUR website!Examples: ---------------------- X^2-9=0 (X+3)(X-3)=0 X+3=0 X=-3 ANS. X-3=0 X=3 ANS. --------------------- X^2+4X-21=0 (X+7)(X-3)=0 X+7=0 X=-7 ANS. X-3=0 X=3 ANS.
 Quadratic_Equations/358686: Find the x-intercepts for the graph of the equation y=x^2+2x-3 please help me 1 solutions Answer 256020 by checkley77(12569)   on 2010-10-19 18:59:03 (Show Source): You can put this solution on YOUR website!SETTING Y=0 & SOLVING FOR X GIVES THE X INTERCEPT(S). y=x^2+2x-3 0=X^2+2X-3) 0=(X+3)(X-1) X+3=0 X=-3 ANS (-3,0) ONE X INTERCEPT. X-1=0 X=1 (1,0) THE SECOND X INTERCEPT. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x^2 +2x -3).
 Mixture_Word_Problems/358689: A chemist needs 18L of a 20% solution of alcohol. she has on hand a 15% solution as well as a 30% solution. How many L of the 15% solution and the 30% solution should she mix to get the 20% solution needed?1 solutions Answer 256019 by checkley77(12569)   on 2010-10-19 18:53:16 (Show Source): You can put this solution on YOUR website!.30x+.15(18-x)=.20*18 .30x+2.7-.15x=3.6 .15x=3.6-2.7 .15x=.9 x=.9/.15 x=6 L. of 30% solution. Proof: .30*6+.15(18-6)=.20*18 1.8+.15*12=3.6 1.5+1.8=3.6 3.6=3.6
 Rectangles/358691: the length of the rectangle is 5yd more then its width, the area of the rectangle is 88yd^2. find the dimensions of the rectangle1 solutions Answer 256018 by checkley77(12569)   on 2010-10-19 18:46:35 (Show Source): You can put this solution on YOUR website!L=W+5 LW=88 (W+5)W=88 W^2+5W=88 W^2+5W-88=0 w=(-5+-sqrt[5^2-4*1*-88])/2*1 w=(-5+-sqrt[25+352])/2 w=(-5+-sqrt377)/2 w=(-5+-19.4165)/2 w=(-5+19.4165)/2 w=14.4165/2 w=7.2 ANS. w=(-5-19.4165)/2 w=(-24.4165/2 w=-12.2 ans.
 Graphs/358699: Find the intercepts and use them to graph the equation 6x +4y = 241 solutions Answer 256013 by checkley77(12569)   on 2010-10-19 18:32:01 (Show Source): You can put this solution on YOUR website!6x +4y = 24 4y=-6x+24 y=-6x/4-24/4 y=-3x/2-6 (line equation) 0=-3x/2-6 3x/2=-6 3x=-6*2 3x=-12 x=-12/3 x=-4 (-4,0) is one point. y=-3*0/4-6 y= (0,-6) is the second point. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -3x/2 -6).
 Quadratic_Equations/358708: solve using any method 2x^2=8x1 solutions Answer 256011 by checkley77(12569)   on 2010-10-19 18:20:22 (Show Source): You can put this solution on YOUR website!2x^2=8x 2X^2-8X=0 X(2X-8)=0 X=0 2X-8=0 2X=8 X=8/2 X=4 ANS. PROOF: 2(4)^2=8*4 2*16=32 32=32
 Mixture_Word_Problems/358715: how much of a 50% acid solution must be mixed with 30 gallons of a 19% acid solution to obtain a solution that is 40% acid?1 solutions Answer 256007 by checkley77(12569)   on 2010-10-19 18:15:52 (Show Source): You can put this solution on YOUR website!.50X+.19*30=.40(30+X) .50X+5.7=12+.40X .50X-.40X=12-5.7 .10X=6.3 X=6.3/.10 X=63 GALLONS OF 50% ACID SOLUTION IS USED. PROOF: .50*63+.19*30=.40(30+63) 31.5+5.7=.40*93 37.2=37.2
 Numbers_Word_Problems/358661: I am thinking of two whole numbers.When I add them,their sum is 123.When I subtract the lesser number from the greater number,their difference is 45.What are my numbers?Thank-you1 solutions Answer 255997 by checkley77(12569)   on 2010-10-19 17:53:04 (Show Source): You can put this solution on YOUR website!x+y=123 or x=123-y x-y=45 123-y-y=45 -2y=45-123 -2y=-78 y=-78/-2 y=39 ans. for the smaller number. x=123-39 x=84 ans. for the larger number. Proof: 84-39=45 45=45
 Travel_Word_Problems/358662: a car traveled 600 miles at 60 mph and 40mph on the return trip. What was the average speed for the whole trip1 solutions Answer 255995 by checkley77(12569)   on 2010-10-19 17:48:41 (Show Source): You can put this solution on YOUR website!d=rt d/r=t 300/60+300/40=t 5+7.5=t t=12.5 hours. 600/12.5=48 mph. is the average for the entire trip.
 Numbers_Word_Problems/358628: The sum of three times the smaller of two consecutive odd integers and four times the larger is 113. Find the two integers.1 solutions Answer 255992 by checkley77(12569)   on 2010-10-19 17:42:19 (Show Source): You can put this solution on YOUR website!3x+4(x+2)=113 3x+4x+8=113 7x=113-8 7x=105 x=105/7 x=15 ans. for the small integer. 15+2=17 ans. for the larger integer. Proof: 3*15+4*17=105 45+68=105 105=105
 Linear-equations/358637: Find the Slope of the line passing through each pair of points. (4,1 1/2), (-2,2/3)1 solutions Answer 255990 by checkley77(12569)   on 2010-10-19 17:34:00 (Show Source): You can put this solution on YOUR website!(4,1 1/2) (-2,2/3) m=(Y2-Y1)/(X2-X1) m=(2/3-3/2)/(-2-4) m=((2*2-3*3)/(3*2))/-6 m=((4-9)/6)/-6 m=(-5/6)/-6 m=(-5/6)(1/-6) m=-5/(6*-6) m=5/36 ans. for the slope.
 Polynomials-and-rational-expressions/358641: very confused please help multiply (c+1/2)(c+1/5) "simplify"1 solutions Answer 255987 by checkley77(12569)   on 2010-10-19 17:24:25 (Show Source): You can put this solution on YOUR website!(c+1/2)(c+1/5) c^2+c/2+c/5+1/10 c^2+(5c+2c)/(2*5)+1/10 c^2+7c/10+1/10 ans. in fractions. c^2+0.7c+0.1 ans. in decimal.
 Linear-equations/358642: Solve the system by graphing both equations on the same set of axes and then reading the solution from the graph. y = 3 x - 8 12 x-4 y = 32 x= y=1 solutions Answer 255984 by checkley77(12569)   on 2010-10-19 17:20:23 (Show Source): You can put this solution on YOUR website!y = 3 x - 8 12 x-4 y = 32 12x-4(3-8)=32 12x-4*-5=32 12x+20=32 12x=32-20 12x=12 x=12/12 x=1 ans. y=3*1-8 y=3-8 y=-5 ans. Proof: 12*1-4*-5=32 12+20=32 32=32
 Geometry_Word_Problems/358647: The perimeter of a rectangle is 52 feet. Describe the possible lengths of a side if the area of the rectangle is not to exceed 120 square feet1 solutions Answer 255982 by checkley77(12569)   on 2010-10-19 17:15:11 (Show Source): You can put this solution on YOUR website!2x+2y=52 xy=120 or x=120/y 2(120/y)+2y=52 240/y+2y=52 (240+2y*y)/y=52 (240+2y^2)/y=52 cross multiply. 2y^2+240=52y 2y^2-52y+240=0 2(y^2-26y+120)=0 2(y-20)(y-6)=0 y-20=0 y=20 ans. x=120/20=6 ans. y-6=0 y=6 ans. x=120/6=20 ans. Proof: 20*6=120 ans. area. 2*20+2*6=40+12=52 ans. perimeter.
 Systems-of-equations/358650: Hello. Can you please help me solve these problems? 2x-y=-4 -4x+2y=6 and 2t+4v=6 -t-2v=-3 Thank you!1 solutions Answer 255979 by checkley77(12569)   on 2010-10-19 17:06:36 (Show Source): You can put this solution on YOUR website!2x-y=-4 MULTIPLY BY 2 & ADD. -4x+2y=6 4x-2y=-8 ------------ 0x+0x=-2 NO unique solution for x or y. 2t+4v=6 -t-2v=-3 multiply by 2 & add -2t-4v=-6 2t+4v=6 -------------- 0t+0t=0 NO unique solution for x or y.
 Pythagorean-theorem/358520: Right angle triangle. Hypotenuse is 7". Aspect ratio is 16:9 (1.78:1) a^2 * b^2 = c^2     a=1.78x   b=x   c=7 (1.78x)^2 * x^2 = 7^2 (1.78x)^2 * x^2 = 491 solutions Answer 255972 by checkley77(12569)   on 2010-10-19 16:56:38 (Show Source): You can put this solution on YOUR website!16:9 (1.78:1) a^2 * b^2 = c^2 a=1.78x b=x c=7 [NOTE: YOU SHOULD BE ADDING, NOT MULTIPLYING, THE A & B TERMS] (1.78x)^2 + x^2 = 7^2 (1.78x)^2 + x^2 = 49 3.1684x^2+x^2=49 4.1684x^2=49 x^2=49/4.1684 x^2=11.755 X=SQRT11.755 X=3.43 PROOF: (1.78*3.43)^2+3.43^2=49 6.1^2+11.77=49 37.21+11.77=49 49~49
 Expressions-with-variables/358527: I need help on this for a school project: A=1/2b*h solved for b A=1/2b*h solved for h A=b*h solved for b A=b*h solved for h 1 solutions Answer 255959 by checkley77(12569)   on 2010-10-19 16:31:13 (Show Source): You can put this solution on YOUR website!A=1/2b*h solved for b a=bh/2 cross multiply. 2a=bh divide by h. b=2a/h ans. A=1/2b*h solved for h a=bh/2 2a=bh divide by b. b=2a/bh ans. A=b*h solved for b b=A/h ans. A=b*h solved for h h=A/b ans.
 Linear-systems/358529: Please help find an equation of the line that satisfies the given condition.... a.) Through (-1,-2) and (4,3) b.) Through (-3,-5) slope -7/2 1 solutions Answer 255955 by checkley77(12569)   on 2010-10-19 16:26:36 (Show Source): You can put this solution on YOUR website!Y=mX+b where m=slope & b=the Y intercept. a.) Through (-1,-2) and (4,3) m=(Y2-Y1)/(X2-X1) m=(3+2)/(4-3)=5/1=5 ans. -2=5*-1+b -2=-5+b b=-2+5 b=3 ans. for the Y intercept. Y=5x+3 (red line) b.) Through (-3,-5) slope -7/2 -5=-7/2*-3+b -5=21/2+b b=-5-21/2 b=-10/2-21/2=-31/2 the Y intercept. Y=-7x/2-31/2 (green line). (graph 300x200 pixels, x from -6 to 5, y from -18 to 10, of TWO functions 5x +3 and -7x/2 -31/2).
 Expressions-with-variables/358538: I need help on this for a school project: c=3.14d solved for d a=3.14r^2 solve for r^21 solutions Answer 255949 by checkley77(12569)   on 2010-10-19 16:15:54 (Show Source): You can put this solution on YOUR website!c=3.14d solved for d d=c/3.14 ans. a=3.14r^2 solve for r^2 r^2=a/3.14 ans.
 Mixture_Word_Problems/358540: If you have a solution that's 40% alcohol and another that's 70% alcohol how much of the 70% alcohol do you have to add to the 40% to make the 40% raise to 50% alcohol. Start with 100 ml of the 70% solution? 1 solutions Answer 255946 by checkley77(12569)   on 2010-10-19 16:14:22 (Show Source): You can put this solution on YOUR website!.70*100+.40X=.50(100+X) 70+.40X=50+.50X .40X-.50X=50-70 -.10X=-20 X=-20/-.10 X=200 ml. OF THE 40% ALCOHOL IS USED. PROOF: .70*100+.40*200=.50(100+200) 70+80=.5*300 150=150
 Triangles/358548: one leg of a right triangle is 1 millimeter shorter than the longer leg and the hypotenuse is 1 millimeter longer than the longer leg. find the lengths of the side of the triangle1 solutions Answer 255942 by checkley77(12569)   on 2010-10-19 16:06:03 (Show Source): You can put this solution on YOUR website!X-1, X+1 & X ARE THE 3 SIDES. X^2+(X-1)^2=(X+1)^2 X^2+X^2-2X+1=X^2+2X+1 2X^2-X^2-2X-2X+1-1=0 X^2-4X=0 X(X-4)=0 X-4=0 X=4 ANS. THUS THE SIDES ARE: X-1=3 X+1=5 OR THIS IS A 3,4,5 RIGHT TRIANGLE.
 Travel_Word_Problems/358551: A helicopter traveling at 120 mph overtakes a speeding car traveling at 90 mph the car had a 0.5 hour head start. how far from the starting point did the helicopter overtake the car?1 solutions Answer 255932 by checkley77(12569)   on 2010-10-19 15:54:36 (Show Source): You can put this solution on YOUR website!D=120(T-.5) D=90T 120(T-.5)=90T 120T-60=90T 120T-90T=60 30T=60 T=60/30 T=2 HOURS AFTER THE CAR LEAVES THE HELICOPTER WILL CATCH UP. PROOF: 120(2-.5)=90*2 120*1.5=180 180=180
 Exponents/358562: [14-2(16-27)] divided by (-6)1 solutions Answer 255927 by checkley77(12569)   on 2010-10-19 15:47:39 (Show Source): You can put this solution on YOUR website![14-2(16-27)]/(-6) [14-32+54]/-6 [68-32]/-6 36/-6=-6 ANS.