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# Recent problems solved by 'checkley71'

checkley71 answered: 8399 problems
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 Linear-equations/68218: This question is from textbook x/5-x/4=11 solutions Answer 48516 by checkley71(8403)   on 2007-01-27 13:43:51 (Show Source): You can put this solution on YOUR website!x/5-x/4=1 NOW FIND THE COMMON DENOMINATOR (4*5=20) (4x-5x)/20=1 4x-5x=20 -x=20 x=-20 answer proof -20/5-(-20)/4=1 -4+5=1 1=1
 Equations/68043: 5-x=7+2x-4 what is x1 solutions Answer 48490 by checkley71(8403)   on 2007-01-27 07:00:38 (Show Source): You can put this solution on YOUR website!5-X=7+2X-4 -X-2X=7-4-5 -3X=-2 X=-2/-3 X=2/3
 Linear_Equations_And_Systems_Word_Problems/68089: Find two positive numbers whose difference is 9 and whose product is a mimimum. x-y=9 xy=?1 solutions Answer 48489 by checkley71(8403)   on 2007-01-27 06:56:02 (Show Source): You can put this solution on YOUR website!X-Y=9 XY=? POSSIBLE NUMBERS ARE 9,0 10,1 11,2 12,3 13,4 ETC. 9*0=9 10*1=10 11*2=22 12*3=36 13*4=52 THEREFORE THE ANSWER IS X=9 & Y=0
 Linear-systems/68141: This question is from textbook Prentice Hall Mathematics Algebra 1 how do you graph a solution that says: y=-3/2-31 solutions Answer 48487 by checkley71(8403)   on 2007-01-27 06:50:08 (Show Source): You can put this solution on YOUR website!Y=-3/2-3 Y=-1.5-3 Y=-4.5 (graph 300x200 pixels, x from -6 to 5, y from -5 to 5, Y = -4.5).
 Graphs/68148: This question is from textbook Algebra for College Students If one-half of the complement of an angle plus three-fourths of the supplement of the angel equals 110 degrees, find the measure of the angel.1 solutions Answer 48486 by checkley71(8403)   on 2007-01-27 06:46:27 (Show Source): You can put this solution on YOUR website!.5(90-x)+.75(180-x)=110 45-.5x+135-.75x=110 -1.25x=110-135-45 -1.25x=-70 x=-70/-1.25 x=56 degrees is he angle.
 Complex_Numbers/68181: This question is from textbook College Algebra radical notation -101 solutions Answer 48483 by checkley71(8403)   on 2007-01-27 06:36:45 (Show Source): You can put this solution on YOUR website!sqrt-10=3.1622776i
 Evaluation_Word_Problems/68114: Allen bought 20 stamps at the post office in 37¢ and 20¢ denominations. If the total cost of the stamps was \$7.06, how many 37¢ stamps did Allen buy?1 solutions Answer 48473 by checkley71(8403)   on 2007-01-26 22:24:15 (Show Source): You can put this solution on YOUR website!X+Y=20 X BEING THE NUMBER OF \$.37 & Y BEING THE \$.20 STAMPS. X=20-Y .37X+.20Y=7.06 .37(20-Y)+.20Y=7.06 7.40-.37Y+.20Y=7.06 -.17Y=7.06-7.40 -.17Y=-.34 Y=-34/-17 Y=2 NUMBER OF \$.20 STAMPS. X+2=20 X=20-2 X=18 NUMBER OF \$.37 STAMPS. PROOF .37*18+.20*2=7.06 6.66+.40=7.06 7.06=7.06
 percentage/68115: Convert 9/16 to a percent.1 solutions Answer 48472 by checkley71(8403)   on 2007-01-26 22:16:10 (Show Source): You can put this solution on YOUR website!9/16=.5625 THIS IS OBTAINED BY DIVIDING 9 BY 16 USING THE LONG DIVISION MSTHOD OR A CALCULATOR.
 Linear-equations/68144: What is the slope of the following line? x = 9.1241 solutions Answer 48471 by checkley71(8403)   on 2007-01-26 22:13:21 (Show Source): You can put this solution on YOUR website!THIS SLOPE IS UNDEFINED & IS A VERTICLE LINE THROUGH THE POINT (9.124,0)
 Equations/68150: This question is from textbook Algebra for College Students V=1/3Bh (solve for B)1 solutions Answer 48470 by checkley71(8403)   on 2007-01-26 22:11:40 (Show Source): You can put this solution on YOUR website!V=1/3BH 3V=BH B=3V/H
 Equations/68152: This question is from textbook Algebra for College Studnets 5x-6y=12 (Solve for x)1 solutions Answer 48469 by checkley71(8403)   on 2007-01-26 22:09:38 (Show Source): You can put this solution on YOUR website!5X-6Y=12 5X=6Y+12 X=6Y/5+12/5
 Linear-equations/68160: This question is from textbook A Graphical Approach to Algebra and Trigonometry Find the equation of the line satisfying the given conditions, giving it in slope-intercept form if possible. Through (-2,0), perpendicular to 8x-3y=7.1 solutions Answer 48467 by checkley71(8403)   on 2007-01-26 22:07:45 (Show Source): You can put this solution on YOUR website!8X-3Y=7 -3Y=-8X+7 Y=8X/3-7/3 THUS THIS LINE HAS A SLOPE OF -8/3. THUS A PERPENDICULAR LINE HAS A SLOPE OF 3/8 & PASSING THROUGH (-2,0) IS 0=3/8*-2+b 0=-6/8+b b=6/8 b=3/4 THUS THE EQUATION OF THIS LINE IS Y=3/8X+3/4
 Triangles/68177: Triangle ABC is a right triangle. If side AC=5 and side BC=6, What is the measure of side AB?1 solutions Answer 48466 by checkley71(8403)   on 2007-01-26 22:02:16 (Show Source): You can put this solution on YOUR website!IF AB IS THE HYPOTENUSE THEN AB^2=5^2+6^2 AB^2=25+36 AB^2=61 AB=SQRT61 AB=7.81 --------------------- IF BC IS THE HYPOTENUSE THEN 6^2=5^2+AB^2 36=25+AB^2 36-25=AB^2 9=AB^2 AB=SQRT9 AB=3 ------------------------------
 Linear-equations/68090: I am helping my 13 year old with his homework. Please tell me what slope is and how it is measured in general. We are using an Egyptian pyramid as a model. Thank you !1 solutions Answer 48380 by checkley71(8403)   on 2007-01-25 21:44:57 (Show Source): You can put this solution on YOUR website!WHAT YOU NEED TO DO IF YOU ARE USING A PYRAMID THEN PLOT TWO OF THE POINTS (BASE & TOP POINT) ON A GRAPH THUS (0,0) (5,4) THE SLOPE IS CALCULATED USING (Y2-Y1)/(X2-X1) (4-0)/(5/0) 4/5 IS THE SLOPE OFF A LINE BETWEEN THESE TWO POINTS OR THE SLOPE OF THE SIDES OF THE PYRAMID.
 Money_Word_Problems/68087: Jack invested \$8000, part at 10% and part at 15%. If the total interest at the end of the year is \$900, how much did he invest at 10%? a)\$7000 b)\$5000 c)\$6000 d)\$40001 solutions Answer 48378 by checkley71(8403)   on 2007-01-25 21:40:09 (Show Source): You can put this solution on YOUR website!.1x+.15(8000-x)=900 .1x+1200-.15x=900 -.05x=900-1200 -.05x=-300 x=-300/-.05 x=6000 invested @ 10% answer c)
 Linear-systems/68085: Find the slope of any line perpendicular to the line through points(3, 2) and (5, 6). a)4 b)-4 c)1/4 d)-1/4 Any help would be great, thanks.1 solutions Answer 48376 by checkley71(8403)   on 2007-01-25 21:33:49 (Show Source): You can put this solution on YOUR website!the slope of the line between these 2 points is (6-2)/(5-3) 4/2=2 for the slope. therefore a line perpendicular has to have a slope that is the negatiuve reciprical of this slope which would be -1/2 don't see (-1/2) as one of the answers. are you sure you have the correct points?
 Linear-systems/68082: Determine which two equations represent parallel lines. a)y = 3x - 5 b)y = -3x + 5 c)y = 3x + 3 d)y = -1/3x -5 Any help would be greatful.1 solutions Answer 48375 by checkley71(8403)   on 2007-01-25 21:26:56 (Show Source): You can put this solution on YOUR website!a) & c)are parallel because they have the same (m) value (3) which indicates parallel lines.
 Quadratic_Equations/68077: Here is another problem that I have posted within the past 2 days that I am having trouble with setting up. If someone could give me a little hint, I would appreciate it. Thanks. A garden area is 30 ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft2, what is the width of the path? Give your answer in decimal form, rounded to the nearest thousandth.1 solutions Answer 48374 by checkley71(8403)   on 2007-01-25 21:24:44 (Show Source): You can put this solution on YOUR website!(30-2X)(20-2X)=400 600-40X-60X+4X^2=400 4X^2-100X+600-400=0 4X^2-100X+200=0 X^2-25X+50=0 using the quadratic equation we get x=(-b+-sqrt[b^2-4ac])/2a x=(25+-sqrt[-25^2-4*1*50])/2*1 x=(25+-sqrt625-200])/2 x=(25+-sqrt425)/2 x=(25+-20.6155)/2 x=(25+20.6155)/2 x=45.6155 x=(25-20.6155)/2 x=4.3845/2 x=2.192 answer for the width of the path. ------------------------------------------------------------- IF YOU DRAW A DIAGRAM OF THE PROBLEM (WHICH I ALWAYS RECOMMEND) YOU'LL SEE THAT THE RECTANGLE INSIDE ANOTHER RECTANGLE WITH THE OUTSIDE DIMENTIONS OF 20 & 30 FT YOU'LL SEE THAT THE INNER RECTANGLE LENGTH IS 30 & 20 -2 TIMES THE BORDER (X) THUS THE TERMS 30-2X & 20-2X TO DESCRIBE THE INNER RECTANCLE.
 Geometry_Word_Problems/68072: This question is from textbook Geometry A zip lane is a taut rope or cable that you can ride down on a pulley the zip line at the right goes from a 9 feet tower to a 6 feet tall tower. The towers are 20 feet apart. What is the slope of the zip lane?1 solutions Answer 48371 by checkley71(8403)   on 2007-01-25 21:08:12 (Show Source): You can put this solution on YOUR website!GRAPHING THIS PROBLEM WE HAVE TWO POINTS (0,9) & (20,6) THUS THE SLOPE IS (6-9)/20-0) -3/20 IS THE SLOPE.
 Quadratic_Equations/68069: I have asked this question within the past two days without a response. I am having a tough time figuring out how to set this problem up. Once I know how to set it up and why, I can probably solve the equation. I hope someone out there can help me with this one, please. Find two consecutive positive integers such that the sum of their squares is 85. [You must use algebra to solve this, setting up an equation with a variable, and using algebra to solve for the variable.]1 solutions Answer 48370 by checkley71(8403)   on 2007-01-25 21:02:40 (Show Source): You can put this solution on YOUR website!let x^2 be the first number & (x+1)^2 the next number x^2+(x+1)^2=85 x^2+x^2+2x+1=85 2x^2+2x+1-85 2x^2+2x-84=0 x^2+x^2-42=0 (x+7)(x-6)=0 x-6=0 x=6 answer for the first number 6+1=7 for the next number. proof 6^2+7^2=84 36+49=84 84=84
 Systems-of-equations/67935: y=3x-1 and y=negative2x The x and y are the same in both problems.1 solutions Answer 48308 by checkley71(8403)   on 2007-01-24 20:37:44 (Show Source): You can put this solution on YOUR website!Y=3X-1 NOW SUBSTITUTE (3X-1) FOR Y IN THE OTHER EQUATION THUS 3X-1=-2X 3X+2X=1 5X=1 X=1/5 ANSWER Y=3*1/5-1 Y=3/5-1 Y=-2/5 ANSWER
 absolute-value/67919: This question is from textbook Algebra:Structure and Method If I increase my usual driving speed by 10 km/h, I can drive the 255 km to Nashviille in 24 minutes less than usual. How fast do I usually drive?1 solutions Answer 48307 by checkley71(8403)   on 2007-01-24 20:33:28 (Show Source): You can put this solution on YOUR website!255/x=255/(x+10)+.4 255/x=(255+.4x+4)/(x+10) 255/x=(259+.4x)/(x=10) 255(x+100=x(259+.4x)/(x+10) 255x+2550=259x+.4x^2 .4x^2+4x-2550=0 (.4x-30)(x+85)=0 .4x-30=0 .4x=30 x=30/.4 x=75 km/h is the normal speed 75+10=85 km/h is the faster trip speed proof 255/75=255/85+.4 3.4+3+.4 3.4=3.4
 Graphs/67928: Can you tell me how to solve X^2+9X+20=0 by factoring1 solutions Answer 48305 by checkley71(8403)   on 2007-01-24 20:23:44 (Show Source): You can put this solution on YOUR website!x^2+9x+20=0 (x+4)(x+5)=0 x+4=0 x=-4 answer x+5=0 x=-5 answer
 Money_Word_Problems/67821: At the movies tickets for adults cost \$5.50 and tickets for children cost \$3.50. How many of each kind of ticket was purchased if 21 tickets were bought for \$83.50?1 solutions Answer 48222 by checkley71(8403)   on 2007-01-23 22:02:40 (Show Source): You can put this solution on YOUR website!C+A=21 & 550*A+350*C=8350 C=21-A 550A+350(21-A)=8350 550A+7350-350A=8350 200A=8350-7350 200A=1000 A=1000/200 A=5 ANSWER FOR NUMBER OF ADULT TICKETS SOLD 21-5=16 ANSWER FOR CHILDREN TICKETS SOLD PROOF 550*5+350*16=8350 2750+5600=8350 8350=8350
 Mixture_Word_Problems/67819: A liter of cream has 9.2% butterfat. How much skim milk containing 2% butterfat should be added to the cream to obtain a maxture of 6.4% butterfat?1 solutions Answer 48219 by checkley71(8403)   on 2007-01-23 21:53:50 (Show Source): You can put this solution on YOUR website!1*.092+.02X=.064(1+X) .092+.02X=.064+.064X .02X-.064X=.064-.092 -.044X=-.028 X=-.028/-.044 X=.6363 LITERS OF 2% IS NEEDED PROOF .092+.02*.6363=.064(1.6363) .092+.012726=.10472 .10472=.10472
 Linear_Equations_And_Systems_Word_Problems/67820: my problem is: Luke has \$5.00 more than Sam, together they have \$73.00. How much does each have. Explain the equation. I know the answer is \$34.00 and \$39.00, but i don't know how to write it out. Thank you1 solutions Answer 48217 by checkley71(8403)   on 2007-01-23 21:46:23 (Show Source): You can put this solution on YOUR website!X+(X+5)=73 X+X+5=73 2X=73-5 2X=68 X=68/2 X=34 ANSWER FOR SAM 34+5=39 FOR LUKE PROOF 34+39=73 73=73
 Linear_Algebra/67792: A farmer normally plows a rectangular field 80ft by 120 ft. This year the farmer wants to expand the area of the field by 20%, by extending the width and length of the plowed area an equal amount. How much wider and longer should the farmer plow the field to obtain a 20% increase in area?1 solutions Answer 48215 by checkley71(8403)   on 2007-01-23 21:42:40 (Show Source): You can put this solution on YOUR website!CURRENT AREA=80*120=9600 TO INCREASE THIS AREA BY 20% IT MUST BE 9600*1.2=11520 THUS (80+X)(120+X)=11520 9600+120X+80X+X^2=11520 X^2+200X+9600-11520=0 X^2+200X-1920=0 USING THE QUADRATIC EQUATION WE GET X=(-B+-SQRT[B^2-4AC])/2A X=(-200+-SQRT[200*200-4*1*-1920])/2*1 X=(-200+-SQRT[40000+7680])/2 X=(-200+-SQRT47680])/2 X=(-200+-218.3578)/2 X=-200+218.3578)/2 X=18.3578/2 X=9.17875 ANSWER.
 Graphs/67796: Solve by graphing. x + y = 3 x - y = 1 I did: x + y = 3 y = -x + 3 m = -1, 6 = 3 x - y = 1 -y = -x + 1 m = -1, 6 = 1 on my graph they coincided with each other instead of intersecting which is how the answer reads. (2,1) Where did I go wrong? Thanks a lot. Kyle1 solutions Answer 48211 by checkley71(8403)   on 2007-01-23 21:27:13 (Show Source): You can put this solution on YOUR website!X+Y=3 Y=-X+3 -------------- X-Y=1 -Y=-X+1 Y=X-1 this is where you made your mistake. you neglected to change -y to +y by multiplying the equation by -1. also you have a 6 instead of a y in your answer. ------------- (graph 300x200 pixels, x from -6 to 5, y from -5 to 5, of TWO functions y = -x +3, y = x -1).
 Equations/67803: This question is from textbook Glencoe Pre-Algebra -4x/3=24 1 solutions Answer 48210 by checkley71(8403)   on 2007-01-23 21:17:30 (Show Source): You can put this solution on YOUR website!-4X/3=24 -4X=72 X=72/-4 X=-18 ANSWER PROOF -4*-18/3=24 72/3=24 24=24
 Equations/67807: 3/4n-3=91 solutions Answer 48209 by checkley71(8403)   on 2007-01-23 21:14:26 (Show Source): You can put this solution on YOUR website!3/4N-3=9 3/4N=9+3 3/4N=12 3N=48 N=48/3 N=16 ANSWER PROOF 3/4*16-3=9 12-3=9 9=9
 Geometry_Word_Problems/67815: Given the formula P=-x/2 +75. Find the unit price if seven items are sold.1 solutions Answer 48207 by checkley71(8403)   on 2007-01-23 21:10:01 (Show Source): You can put this solution on YOUR website!X REPRESENTS THE NUMBER OF ITEMS SOLD THUS REPLACING X BY 7 IN THIS CASE WE GET P=-7/2+75 NOW WE DIVIDE -7 BY 2 AND GET -3.5 P=-3.5+75 NOW WE SUBTRACT THE 3.5 FROM 75 AND WE GET P=71.5 WHICH IS THE PRICE WHEN 7 UNITS ARE SOLD. --------------------------------------------------------------------------- DOES THIS HELP EXPLAIN THE METHOD USED TO SOLVE THIS PROBLEM?