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# Recent problems solved by 'checkley77'

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 Linear-equations/227924: What i sthe slope for y= -5 ?1 solutions Answer 169330 by checkley77(12569)   on 2009-10-17 16:43:11 (Show Source): You can put this solution on YOUR website!Y=-5 Y=mX+b m=SLOPE. THUS THIS SLOPE=0.
 Linear_Algebra/227928: Suppose the length of a rectanle is 3cm longer than twice the width and that the peimeter is 90cm. Setup an equation for the perimeter involving only W the width. solve this equation algebraically to find length and find the width as well?1 solutions Answer 169329 by checkley77(12569)   on 2009-10-17 16:41:42 (Show Source): You can put this solution on YOUR website!L=2W+3 2L+2W=90 2(2W+3)+2W=90 4W+6+2W=90 6W=90-6 6W=84 W=84/6 W=14 ANS. FOR THE WIDTH. L=2*14+3=28+3=31 ANS. FOR THE LENGTH. PROOF: 2*31+2*14=90 62+28=90 90=90
 Equations/227938: 2/3 (11x - 1/6) - 3/4 = 1/4 I need to cancel fractions. 1 solutions Answer 169328 by checkley77(12569)   on 2009-10-17 16:38:04 (Show Source): You can put this solution on YOUR website!2/3(11x-1/6)-3/4=1/4 22x/3-2/18-3/4=1/4 22x/3=1/4+1/9+3/4 22x/3=(1*9+1*4+3*9)/(4*9) 22x/3=(9+4+27)/36 22x/3=40/36 22x*36=3*40 792x=120 x=120/792 x=5/33 ans.
 Age_Word_Problems/227940: Melissa's cat is five years younger than she is. In two years,Melissa will be twice as old as her cat.How old are they now?1 solutions Answer 169327 by checkley77(12569)   on 2009-10-17 16:27:37 (Show Source): You can put this solution on YOUR website!Melissa age now=x Cat's age now (x-5) In 2 years Melissa will be (x+2) The cat will be (x-5+2) or (x-3) (x+2)=2(x-3) x+2=2x-6 x-2x=-6-2 -x=-8 x=8 Melissa's age now 8-5=3 The cat's age now. Proof: 8+2=2(8-3) 10=2*5 10=10
 Age_Word_Problems/227943: A mother,aged thirty,has a seven-year-old son.in how many years,will she be twice as old as he?1 solutions Answer 169324 by checkley77(12569)   on 2009-10-17 16:21:55 (Show Source): You can put this solution on YOUR website!30+x=2(7+x) 30+x=14+2x x-2x=14-30 -x=-16 x=16 years from now she will be twice as old as her son. Proof: 30+16=2(7+16) 46=2*23 46=46
 Mixture_Word_Problems/227945: Algebra:how much water must be boiled away to increase the concentration of 300 gallons of salt solution from 2% to 3%?1 solutions Answer 169322 by checkley77(12569)   on 2009-10-17 16:18:46 (Show Source): You can put this solution on YOUR website!.03*300-x=.02(300-x) 9-x=6-.02x -x+.02x=6-9 -.98x=-3 x=-3/-.98 x=3.06 gal. Proof: .03*300-3.06=.02(300-3.06) 9-3.06=6-.02*3,06 5.94=6-.06 5.94=5.94
 Problems-with-consecutive-odd-even-integers/227946: Please help me solve this problem. Find four consecutive even integers whose sum is 340.1 solutions Answer 169320 by checkley77(12569)   on 2009-10-17 16:11:03 (Show Source): You can put this solution on YOUR website!Let x, x+2, x+4, x+6 be the 4 integers. x+x+2+x+4+x+6=340 4x=340-12 4x=328 x=328/4 x=82 ans. for the first integer. 82+2=84 for the second integer. 82=4=86 for the third integer. 82+6=88 for the last integer. Proof; 82+84+86+88=340 340=340
 Mixture_Word_Problems/227566: Dr. Wilson purchased a luxury car for \$32,500. This is \$7,000 more than twice the price her husband paid for a commuter car earlier that year. Find the price of the commuter car.1 solutions Answer 169191 by checkley77(12569)   on 2009-10-16 20:39:06 (Show Source): You can put this solution on YOUR website!32,500=7,000+2x 32,500-7,000=2x 25,500=2x x=25,500/2 x=12,750
 Numbers_Word_Problems/227634: the product of two numbers increased by 3 1 solutions Answer 169189 by checkley77(12569)   on 2009-10-16 20:33:11 (Show Source): You can put this solution on YOUR website!xy+3
 Miscellaneous_Word_Problems/227680: Helga sews hand-made quilts for sale at a local craft shop. She knows that the materials for the last quilt that she made costs \$76 and that it required 44 hours of work to complete the quilt. If Helga received \$450 for the quilt, how much did she earn for each hour of work, taking into account the cost of the material? a. What is the appropriate replacement setfor this problem? b. Write and solve th equations suggested by this problem. c. Write the solution set for this problem.1 solutions Answer 169188 by checkley77(12569)   on 2009-10-16 20:31:36 (Show Source): You can put this solution on YOUR website!76+44x=450 44x=450-76 44x=374 x=374/44 x=\$8.50 would be her hourly rate.
 Inequalities/227720: suppose it costs \$5 to enter a carnival. Each ride costs \$1.25. you have \$15 to spend at the carnival. what is the greatest number of rides that you can go on?1 solutions Answer 169185 by checkley77(12569)   on 2009-10-16 20:26:42 (Show Source): You can put this solution on YOUR website!5+1.5x<15 1.5x<15-5 1.5x<10 x<10/1.5 x<6.667 or 6 rides is the max you can go on.
 Numbers_Word_Problems/227553: one number exceeds another by 24. the sum of the numbers is 58. what are the numbers1 solutions Answer 169064 by checkley77(12569)   on 2009-10-16 10:41:05 (Show Source): You can put this solution on YOUR website!X-Y=24 X+Y=58 -------- 2X=82 X=82/2 X=41 ANS. 41+Y=58 Y=58-41 Y=17 ANS.
 Linear-systems/227557: use elimination to solve the system of 7x+23y=12 3x+23y=-81 solutions Answer 169063 by checkley77(12569)   on 2009-10-16 10:38:19 (Show Source): You can put this solution on YOUR website!7x+23y=12 -(3x+23y=-8) SUBTRACT ---------------- 4X=20 X=20/4 X=5 ANS. 7*5+23Y=12 35+23Y=12 23Y=12-35 23Y=-23 Y=-23/23 Y=-1 ANS. PROOF: 3*5+23*-1=-8 15-23=-8 -8=-8
 Mixture_Word_Problems/227560: Find the cost per pound of a trail mix made from 10 lb of raisins that cost \$4.20 per pound and a 90 lb of granola that costs \$5.60 per pound1 solutions Answer 169062 by checkley77(12569)   on 2009-10-16 10:34:35 (Show Source): You can put this solution on YOUR website!10*4.20+90*5.60=100X 42+504=100X 100X=546 X=546/100 X=\$5.46 IS THE COST OF A POUND OF THIS MIX.
 Travel_Word_Problems/227561: The length of an athletic field is 75 meters. This is 15 meters less than twice the width of the field. Find the width of the field.1 solutions Answer 169061 by checkley77(12569)   on 2009-10-16 10:31:29 (Show Source): You can put this solution on YOUR website!L=75 L=2W-15 2W-15=75 2W=75+15 2W=90 W=90/2 W=45 ANS.
 Equations/227562: Solve: -5a+3=a-91 solutions Answer 169060 by checkley77(12569)   on 2009-10-16 10:28:45 (Show Source): You can put this solution on YOUR website!-5a+3=a-9 -5a-a=-9-3 -6a=-12 a=-12/-6 a=2 ans.
 Equations/227563: Solve: -6n+5=-n-201 solutions Answer 169059 by checkley77(12569)   on 2009-10-16 10:26:54 (Show Source): You can put this solution on YOUR website!-6n+5=-n-20 -6n+n=-20-5 -5n=-25 n=-25/-5 n=5 ans.
 Travel_Word_Problems/227564: Two planes leave Denver International Airport at thte same time. One travels north at 525 mph, and the other travels south at 625 mph. After 3 hours, the planes are how far apart?1 solutions Answer 169058 by checkley77(12569)   on 2009-10-16 10:25:05 (Show Source): You can put this solution on YOUR website!(3*525)+(3*625)=d 1,575+1,875^2=d 3,450 miles is the distance between the 2 planes.
 Numeric_Fractions/227565: Write 73/40 as a decimal. 1 solutions Answer 169054 by checkley77(12569)   on 2009-10-16 10:03:43 (Show Source): You can put this solution on YOUR website!73/40=1.825 ans.
 percentage/227551: What is the formula to determine a percentage increase of a given number. For example: an insurance premium is \$549.37, it renews at \$595.21, by what percentage did it increase?1 solutions Answer 169053 by checkley77(12569)   on 2009-10-16 10:02:24 (Show Source): You can put this solution on YOUR website!1-(increased value/original value)Corrected. Sorry. 1-585.21/549.37=1-1.0834=.0834 or 8.34%.
 Polynomials-and-rational-expressions/227552: find the equation of the line passing through (6,-4)and perpendicular to the line whose equation is 3x-y-5=0 write the answer in slope-intercept form.1 solutions Answer 169052 by checkley77(12569)   on 2009-10-16 09:57:44 (Show Source): You can put this solution on YOUR website!Thru (6,-4)and perpendicular to 3x-y-5=0 -y=-3x+5 y=3x-5 This line has a slope=3. (red line) The perpendicular line will have a slope=-1/3. -4=-1/3*6+b -4=-6/3+b b=-4+6/3 b=-4+2 b=-2 The y intercept. y=-x/3-2 equation for the perpendicular line thru (6,-4). (green line) (graph 300x300 pixels, x from -6 to 6, y from -6 to 6, of TWO functions 3x -5 and -x/3 -2).
 Angles/227543: The hypotenuse of a right triangle is 8 feet less than three times the shorter leg and the longer leg is 8 feet more than twice the shorter leg. Find the lengths of the three sides of the triangle1 solutions Answer 169049 by checkley77(12569)   on 2009-10-16 09:44:33 (Show Source): You can put this solution on YOUR website!c=3a-8 b=2a+8 a^2+b^2=c^2 a^2+(2a+8)^2=(3a-8)^2 a^2+4a^2+32a+64=9a^2-48a+64 5a^2-9a^2+32a+48a+64-64=0 -4a^2+80a=0 -4a(a-20)=0 a-20=0 a=20 ans. b=2*20+8=40+8=48 ans. c=3*20-8=60-8=52 ans. Proof: 20^2+48^2=52^2 400+2,304=2,704 2,704=2,704
 Numbers_Word_Problems/227544: eight times a number is thirty-five more than the number.find the number1 solutions Answer 169048 by checkley77(12569)   on 2009-10-16 09:28:10 (Show Source): You can put this solution on YOUR website!8x=x+35 8x-x=35 7x=35 x=35/7 x=5 ans. Proof: 8*5=5+35 40=40
 Mixture_Word_Problems/227277: peanuts sell for \$3 per pound. cashews sell for \$6 per pound. how many pounds of cashews should be mixed with 12 pounds of peanuts to obtain a mixture that sells for \$4.20 per pound?1 solutions Answer 168960 by checkley77(12569)   on 2009-10-15 19:29:49 (Show Source): You can put this solution on YOUR website!12*3+6x=4.20(12+x) 36+6x=50.4+4.2x 6x-4.2x=50.4-36 1.8x=14.4 x=14.4/1.8 x=8 pounds of cashews is used. Proof: 12*3+6*8=4.2(12+8) 36+48=4.2*20 84=84
 Mixture_Word_Problems/227284: How many millimeters of pure acid must be added to 120 milliliters of a 30% acid solution to obtain a 50% solution?1 solutions Answer 168954 by checkley77(12569)   on 2009-10-15 19:08:56 (Show Source): You can put this solution on YOUR website!.30*120+x=.50(120+x) 36+x=60+.5x x-.5x=60-36 .5x=24 x=24/.5 x=48 ml of pure acid is used. Proof: .30*120+48=.5(120+48) 36+48=.5*168 84=84
 Inverses/227285: -n=40 1 solutions Answer 168952 by checkley77(12569)   on 2009-10-15 19:02:55 (Show Source): You can put this solution on YOUR website!-n=40 n=-40 ans.
 Mixture_Word_Problems/227286: An 18 quart radiator contains a 40% solution of antifreeze. How much must be drained out and replaced with pure antifreze to obtain a 70% antifreeze solution?1 solutions Answer 168951 by checkley77(12569)   on 2009-10-15 19:02:17 (Show Source): You can put this solution on YOUR website!.40(18-x)+x=.7*18 7.2-.4x+x=12.6 .6x=12.6-7.2 .6x=5.4 x=5.4/.6 x=9 qts. of pure antifreeze is used. Proof: .40(18-9)+9=.7*18 .40*9+9=12.6 3.6+9=12.6 12.6=12.6
 Polynomials-and-rational-expressions/227287: f(x)= x^2-2x-1 luvly_lenz@yahoo.com1 solutions Answer 168950 by checkley77(12569)   on 2009-10-15 18:57:51 (Show Source): You can put this solution on YOUR website!f(x)= x^2-2x-1 x=(2+-sqrt[-2^2-4*1*-1])/2*1 x=(2+-sqrt[4+4)/2 x=(2+-sqrt8)/2 x=(2+-2.828)2 x=2+2.828)/2 x=4.828/2 x=2.414 ans. x=(2-2.828)/2 x=-.828/2 x=-.414 ans.
 Miscellaneous_Word_Problems/227268: A rectangular Persian carpet has a perimeter of 240 inches. The length of the carpet is 30 inches more than the width. What are the dimensions of the carpet? Use P = 2L + 2W1 solutions Answer 168946 by checkley77(12569)   on 2009-10-15 18:50:47 (Show Source): You can put this solution on YOUR website!L=W+30 2L+2W=240 2(W+30)+2W=240 2W+60+2W=240 4W=240-60 4W=180 W=180/4 W=45 ANS. FOR THE WIDTH. L=45+30 L=75 ANS. FOR THE LENGTH. PROOF: 2*45+2*75=240 90+150=240 240=240
 Expressions-with-variables/227219: 3 TIMES THE SUM OF B AND 51 solutions Answer 168941 by checkley77(12569)   on 2009-10-15 18:39:37 (Show Source): You can put this solution on YOUR website!3(B+5)=3B+15 ANS.
 Functions/227222: Hey! Ok So i need some help. And i would appricate it alot. i have a major test tommorrow and i need help with this problem Evaluate the function rule for x=2 y=3x+9 I am confused of what to do/ do you divide 9 into 3 or what? Thanks so much if you can help me on how to do this project. A millon thankss!!!!1 solutions Answer 168939 by checkley77(12569)   on 2009-10-15 18:38:10 (Show Source): You can put this solution on YOUR website!x=2 y=3x+9 Y=3*2+9 Y=6+9 Y=15 ANS.