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# Recent problems solved by 'checkley77'

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 Travel_Word_Problems/517950: The Smighen family is traveling by car on vacation.If they travel 540 miles in 2.4 days,and they drive the same distance each day,how many miles do they drive in a day?1 solutions Answer 344987 by checkley77(12569)   on 2011-10-19 17:40:06 (Show Source): You can put this solution on YOUR website!MILES/DAYS=MILES PER DAY. 540/2.4=225 MI. PER DAY.
 Expressions-with-variables/517951: if a rectangular table with an area of 35sq ft has a width that is 2 ft less than the length what are the dimensions of the table. I think it is written 2(l x l-2)=35 let me know if I doing this right and I need help with steps1 solutions Answer 344983 by checkley77(12569)   on 2011-10-19 17:37:31 (Show Source): You can put this solution on YOUR website!L=X W=X-2 AREA=LW 35=X(X-2) 35=X^2-2X X^2-2X-35=0 (X-7)(X+5)=0 X-7=0 X=7 ANS. FOR THE LENGTH. 7-2=5 ANS. FOR THE WIDTH. 35=7(7-5) 35=7*5 35=35
 Equations/517952: r-(-7)=-1-6 can you help by showing the steps to solve this one1 solutions Answer 344980 by checkley77(12569)   on 2011-10-19 17:32:59 (Show Source): You can put this solution on YOUR website!r-(-7)=-1-6 r+7=-7 r=-7-7 r=-14 ans. Proof: -14-(-7)=-1-6 -14+7=-7 -7=-7
 Travel_Word_Problems/517953: Mary is training for a 10 kilometer race. She runs 47 kilometers each week.If she runs 9.4 kilometers each day,how many days does she run each week?1 solutions Answer 344978 by checkley77(12569)   on 2011-10-19 17:30:47 (Show Source): You can put this solution on YOUR website!47/9.4=5 DAYS SHE RUNS.
 Numbers_Word_Problems/517957: find four consecutive intergers such that twice the first subtracted from the sum of the other three intergers is 16.1 solutions Answer 344976 by checkley77(12569)   on 2011-10-19 17:28:45 (Show Source): You can put this solution on YOUR website!Let x, x+1, X+2, & X+3 be the 4 integers. (X+1)+(X+2)+(X+3)-2X=16 3X+6-2X=16 X+6=16 X=16-6 X=10 ANS. PROOF: (10+1)+(10+2)+(10+3)-2*10=16 11+12+13-20=16 36-20=16 16=16
 Numbers_Word_Problems/504539: A Scientist has one solution that is 10% iodine and another that is 40% iodine. How much of each should the scientist use to produce 100mL of a mixture that is 25% iodine.1 solutions Answer 339627 by checkley77(12569)   on 2011-09-26 10:31:02 (Show Source): You can put this solution on YOUR website!.10x*.40(100-x)=.25*100 .10x+40-.40x=25 -.30x=25-40 -.30x=-15 x=-15/-.30 x=50 ml. of 10% iodine is used. 100-50=50 ml. of 40% iodine is used. Proof: .10*50+.40*50=.25*100 5+20=25 25=25
 Polynomials-and-rational-expressions/373717: the polynomial 0.041h-0.018a-2.69 can be used to estimate the lung capacity, in liters, of a femle with height H, in centimeters, and age a, in yers. Find the lung capacity of a 20-year old woman who is 190 centimeters tall 1 solutions Answer 266014 by checkley77(12569)   on 2010-11-19 18:07:39 (Show Source): You can put this solution on YOUR website!0.041h-0.018a-2.69 h=190 a=20 .041*190-.018*20-2.69 7.79-.36-2.69=4.74 ans.
 Polynomials-and-rational-expressions/373732: You want to build a new house valued at \$150,000 in a neighborhood. The tax on a house in the same neighborhood with an assessed value of \$112,000 is \$1680. Find the tax on your house?1 solutions Answer 266010 by checkley77(12569)   on 2010-11-19 18:01:19 (Show Source): You can put this solution on YOUR website!112,000/150,000=1,680/X 112/150=1,680/X 112X=1,680*150 112X=252,000 X=252,000/112 X=\$2,250 IS THE TAX ON YOUR HOUSE.
 Miscellaneous_Word_Problems/373762: The circular surface of a table has a diameter of 4 ft. What will cost to have the top refinished if the company charges \$5 per square foot for the refinishing? Use 3.14 for and round your answer to the nearest cent. Show all the work and write the answer in a complete sentence.1 solutions Answer 266009 by checkley77(12569)   on 2010-11-19 17:55:18 (Show Source): You can put this solution on YOUR website!AREA=PI*R^2 AREA=3.14*(4/2)^2 AREA=3.14*2^2 AREA=3.14*4 AREA=12.56 FT^2. ANS. 12.56*5=\$62.50 IS THE COST TO REFINISH THE TABLE TOP.
 Linear-systems/373783: can someone please solve a system of linear equation for me, and show me how to check it, please1 solutions Answer 266008 by checkley77(12569)   on 2010-11-19 17:49:53 (Show Source): You can put this solution on YOUR website!Y=mX+b IS THE LINEAR EQUATION. 4=-2X+6 IS AN EXAMPLE. THIS LINE HAS A SLOPE(m)=-2 & A Y INTERCEPT=6. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -2x +6).
 Functions/373791: This is my first time on this website, so I'm sorry if I chose the wrong subject, but here's my question. How would you solve the answer to Y/3-4=12 ? So it is the fraction Y over 3 subtract 4 equals 12. I need the steps to solve it not just the answer, so when I have future problems like this I'll know how to do it. Thank you for the help! And also in the problem you must write y as a function of x and evaluate when x is -2, 0, and 2. Thanks again!1 solutions Answer 266007 by checkley77(12569)   on 2010-11-19 17:42:19 (Show Source): You can put this solution on YOUR website!Y/3-4=12 ADD 4. Y/3=12+4 COMBINE INTEGERS. Y/3=16 CROSS MULTIPLY. Y=16*3 Y=48 ANS. PROOF: 48/3-4=12 16-4=12 12=12 ------------------ EXAMPLE: Y=4X WHEN X=-2,0,2 Y=4*2=8 Y=4*0=0 Y=4-2=-8
 Miscellaneous_Word_Problems/373795: solve by the elimination method 6x-9y = 25.5 7y-3x= -14 The solution is (type an ordered pair, simplify your answer) 1 solutions Answer 266006 by checkley77(12569)   on 2010-11-19 17:37:17 (Show Source): You can put this solution on YOUR website!6x-9y = 25.5 7y-3x= -14 multiply by 2 & add. 14y-6x=-28 -9y+6x=25.5 ------------------ 5y=-2.5 y=-2.5/5 y=-.5 ans. 6x-9(-.5)=25.5 6x+4.5=25.5 6x=25.5-4.5 6x=21 x=21/6 ans. Proof: 7(-.5)-3*21/6=-14 -3.5-63/6=-14 -3.5-10.5=-14 -14=-14
 Rectangles/371594: The ratio of the width of a rectangle to its length is 3:4. Write & solve a proportion to find the rectangle's width.1 solutions Answer 264712 by checkley77(12569)   on 2010-11-15 20:01:23 (Show Source): You can put this solution on YOUR website!W:L 3:4 W*L=108 IS THE AREA. 3N*4N=108 12N^2=108 N^2=108/12 N^2=9 N=SQRT9 N=3 IS THE MULTIPLIER. 3*3=9 WIDTH 3*4=12 LENGTH PROOF: 9*12=108 108=108
 Money_Word_Problems/371596: This is a practice question that I have and I am completely stuck... A certain sum of money is invested at 10%. Twice that amount is invested at 8%. The total amount of interest from both investments is \$91. How much is invested at 8%. Here is all that I have 91 = (x)(.1)(1) + (y)(.08)(2) 910 = x + .16y I am not sure where to go from here and to be honest, I am not even sure if I am on the right track... Please Help ... Thank You 1 solutions Answer 264707 by checkley77(12569)   on 2010-11-15 19:52:09 (Show Source): You can put this solution on YOUR website!.10x+.08*2x=91 .10x+.16x=91 .26x=91 x=91/.26 x=350 invested @ 10%. 2*350=700 invested @ 8% Proof: .10*350+.08*700=91 35+56=91 91=91
 Equations/371604: ax + by = cz solve for y1 solutions Answer 264702 by checkley77(12569)   on 2010-11-15 19:48:13 (Show Source): You can put this solution on YOUR website!ax+by=cz subtract ax by=cz-ax divide by b y=(cz-ax)/b ans.
 Graphs/371607: My homework question states: Write the equation of the linear function whose graph contains the point (-2,4) and is perpendicular to the line whose equation is 2x+y=10. How do I solve this?1 solutions Answer 264699 by checkley77(12569)   on 2010-11-15 19:46:14 (Show Source): You can put this solution on YOUR website!(-2,4) and is perpendicular to the line whose equation is 2x+y=10 ( red line). Y=-2X+10 THIS LINE HAS A SLOPE=-2 THEREFORE A PERPENDICULAR LINE WILL HAVE A SLOPE=+1/2 (THE NEGATIVE RECIPRICAL) Y=mX+b where m=slope & b=the y intercept. Substitute the values of the X & Y points & solve for b. 4=1/2*-2+b 4=-1+b b=4+1 b=5 Thus the equation is: Y=X/2+5 (green line) (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions -2x +10 and x/2 +5).
 Mixture_Word_Problems/371608: How many grams of salt must be added to 80 grams of a 22% salt solution to obtain a 40% salt solution? show work.1 solutions Answer 264692 by checkley77(12569)   on 2010-11-15 19:38:22 (Show Source): You can put this solution on YOUR website!.22*80+X=.40(80+X) 17.6+X=32+.40X X-.4X=32-17.6 .6X=14.4 X=14.4/.6 X=24 GRAMS OF SALT ARE ADDED. PROOF: .22*80+24=.40(80+24) 17.6+24=.40*104 41.6=41.6
 test/371609: Overtures used media store had CDs on sale for \$8 each and DVDs on sale for \$11 each. They sold 100 more DVDs than CDs. If the total sale was \$3,608, how many CDs did they sell?1 solutions Answer 264688 by checkley77(12569)   on 2010-11-15 19:34:27 (Show Source): You can put this solution on YOUR website!8X+11(X+100)=3608 8X+11X+1100=3608 19X=3608-1100 19X=2508 X=2508/19 X=132 NUMBER OF \$8 CDS. 132+100=232 NUMBER OF \$11 DVDS. PROOF: 8*132+11*232=3608 1056+2552=3608 3608=3608
 Numeric_Fractions/371610: I have to put these fractions in order from greatest to least: 2 2/3, 2 6/11, 2 5/9, 2 1/2 Not sure how to do it. Do I need to find the LCD and if so how do I figure it out?1 solutions Answer 264684 by checkley77(12569)   on 2010-11-15 19:29:43 (Show Source): You can put this solution on YOUR website!THE DECIMAL SYSTEM: 2 2/3=2.66 2 6/11=2.5454 2 5/9=2.555 2 1/2=2.5 GREATEST TO LEAST: 2 2/3 2 5/9 2 6/11 2 1/2 -------------------------- THE FRACTION SYSTEM: 8/3, 28/11, 23/9, 5/2 LCD=11*9*2=198 66*8/198=528/198 18*28/198=504/198 22*23/198=506/198 99*5/198=495/198 GREATEST TO LOWEST: 528/198, 506/198, 504/198, 495/198
 Rectangles/371611: the area of a rectangle is 64 in. squared. if the area is increased by 25%, what is the dimensions of the new rectangle? A. 6 in. by 8 in. B. 10 in. by 8 in. C. 10 in. by 10 in. D. 8 in. by 8 in.1 solutions Answer 264679 by checkley77(12569)   on 2010-11-15 19:17:21 (Show Source): You can put this solution on YOUR website!XY=64 64*1.25=80 IN^2 ANS. B) 10*8=80.
 Problems-with-consecutive-odd-even-integers/371614: if twice an integer is the same as one-third of six times that integer, what is the integer then turn this into a algebraic expression1 solutions Answer 264678 by checkley77(12569)   on 2010-11-15 19:14:18 (Show Source): You can put this solution on YOUR website!2X=1/3(6X) 2X=6X/3 2X=2X SOLUTION.
 Equations/370502: Hi My little cousin needs help with this homework problem, I tried helping her but I can't seem to get the right answer. Three ducks and two ducklings weigh 77 kg Four ducks and three ducklings weigh 107 kg All ducks weigh the same and all ducklings weigh the same What is the weight of two ducks and one duckling? This is how I set up the problem D=Duck d=Duckling (3D + 2d = 77) (4D + 3d = 107) 1 solutions Answer 264090 by checkley77(12569)   on 2010-11-13 17:52:29 (Show Source): You can put this solution on YOUR website!D=Duck d=Duckling (3D + 2d = 77) 3D=77-2d D=(77-2d)/3 ----------------- Replace D with (77-2d)/3 & solve for d. (4D + 3d = 107) 4(77-2d)/3+3d=107 (308-8d)/3+3d=107 (308-8d+3*3d)/3=107 (308-8d+9d)/3=107 (308+d)/3=107 cross multiply. 308+d=3*107 308+d=321 d=321-308 d=13 ans. D=(77-2*13)/3 D=(77-26)/3 D=51/3 D=17 ans. Proof: 4*17+3*13=107 68+39=107 107=107
 Problems-with-consecutive-odd-even-integers/370503: find four consecutive even integers such that 2 times the sum of the first and second is 14 more than 3 times1 solutions Answer 264087 by checkley77(12569)   on 2010-11-13 17:40:05 (Show Source): You can put this solution on YOUR website!I believe you have left out part of this problem. Resubmit.
 Equations/370504: please help me solve me this question....-5(2x+2)-8(2x-7)1 solutions Answer 264086 by checkley77(12569)   on 2010-11-13 17:38:44 (Show Source): You can put this solution on YOUR website!-5(2x+2)-8(2x-7) -10x-10-16x+56 -26x+46 -2(13x-23) ans.
 Linear-equations/370447: solve by the addition method Please help! 5x-2y=-1 7y=24-3x 1 solutions Answer 264085 by checkley77(12569)   on 2010-11-13 17:35:26 (Show Source): You can put this solution on YOUR website!5x-2y=-1 multiply by 7 7y=24-3x multiply by 2 & add. 35x-14y=-7 6x+14y=48 ---------------- 41x=41 x=41/41=1 ans. for x. 5*1-2y=-1 5-2y=-1 -2y=-1-5 -2y=-6 y=-6/-2=3 ans. for y. Proof: 7*3=24-3*1 21=24-3 21=21
 Proportions/370448: The ratio of the measures of three sides of a triangle are 9:8:7, and its perimeter is 144. What is the measure of each of the 3 sides of the triangle?1 solutions Answer 264083 by checkley77(12569)   on 2010-11-13 17:31:10 (Show Source): You can put this solution on YOUR website!9n+8n+7n=144 24n=144 n=144/24 n=6 ans. for the multiplier. 9*6=54 for side 1 8*6=48 for side 2 7*6=42 for side 3 Proof: 54+48+42=144 144=144
 Linear-equations/370475: if y=5 when x=-10, find y when x=11 solutions Answer 264081 by checkley77(12569)   on 2010-11-13 17:27:23 (Show Source): You can put this solution on YOUR website!5/-10=y/1 cross multiply. -10y=5 y=5/-10 y=-.5 ans. Proof: 5/-10=-.5/1 -.5=-.5
 Proportions/370489: I a saleswoman is working on a 6% commission basis. If she wants to make \$2,400 in one month how much must she sell? 1 solutions Answer 264078 by checkley77(12569)   on 2010-11-13 17:13:13 (Show Source): You can put this solution on YOUR website!.06X=2,400 X=2,400/.06 X=\$40,000 NEEDS TO BE SOLD.
 Numbers_Word_Problems/370490: find two consecutive positive intergers such that the square of the larger integer added to seven times the smaller integer is equal to 253?1 solutions Answer 264076 by checkley77(12569)   on 2010-11-13 17:11:21 (Show Source): You can put this solution on YOUR website!Let x & (x+1) be the 2 integers. (x+1)^2+7x=253 x^2+2x+1+7x=253 x^2+9x+1-253=0 x^2+9x-252=0 (x-12)(x+21)=0 x-12=0 x=12 ANS FOR THE SMALLER INTEGER. 12+1=13 ANS. FOR THE LARGER INTEGER. Proof: 13^2+7*12=253 169+84=253 253=253
 Numbers_Word_Problems/370494: If 15 is subtracted from twice a number, the difference is five times the number1 solutions Answer 264075 by checkley77(12569)   on 2010-11-13 17:05:02 (Show Source): You can put this solution on YOUR website!2X-15=5X 2X-5X=15 -3X=15 X=-15/3 X=-5 ans. Proof: 2*-5-15=5*-5 -10-15=-25 -25=-25
 Expressions-with-variables/370498: 2A/3=8+4A1 solutions Answer 264074 by checkley77(12569)   on 2010-11-13 17:02:48 (Show Source): You can put this solution on YOUR website!2A/3=8+4A combine a terms. 2A/3-4A=8 (2A-3*4A)/3=8 (2A-12A)/3=8 cross multiuply. -10A=24 A=24/-10 A=-2.4 ans. Proof: 2*-2.4/3=8+4*-2.4 -4.8/3=8-9.6 -1.6=-1.6