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Recent problems solved by 'edjones'

edjones answered: 7568 problems
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Graphs/99324: Using the form y=mx+b,find the equation for ;The line thru the orgin that is perpendicular to the line through (-3,0) and(0,- 3) 1 solutions Answer 72250 by edjones(7569)   on 2007-09-20 00:27:19 (Show Source): You can put this solution on YOUR website! Solved by pluggable solver: Finding the Equation of a Line First lets find the slope through the points (,) and (,) Start with the slope formula (note: (,) is the first point (,) and (,) is the second point (,)) Plug in ,,, (these are the coordinates of given points) Subtract the terms in the numerator to get . Subtract the terms in the denominator to get Reduce So the slope is ------------------------------------------------ Now let's use the point-slope formula to find the equation of the line: ------Point-Slope Formula------ where is the slope, and (,) is one of the given points So lets use the Point-Slope Formula to find the equation of the line Plug in , , and (these values are given) Rewrite as Distribute Multiply and to get Subtract from both sides to isolate y Combine like terms and to get ------------------------------------------------------------------------------------------------------------ Answer: So the equation of the line which goes through the points (,) and (,) is: The equation is now in form (which is slope-intercept form) where the slope is and the y-intercept is Notice if we graph the equation and plot the points (,) and (,), we get this: (note: if you need help with graphing, check out this solver) Graph of through the points (,) and (,) Notice how the two points lie on the line. This graphically verifies our answer. y= -x-3 slope=m= -1 slope of a line perpendicular to any line is its negative reciprocal: the origin is point (0,0) y-y[1]=m(x-x[1]) y-0=1(x-0) so our equation for the in through the origin perpendicular to our 1st line is y=x Ed

Graphs/99323: Using the form y=mx+b,find the equation for ;The line thru the orgin that is perpendicular to the line through (-3,0) and(0,- 3) 1 solutions Answer 72247 by edjones(7569)   on 2007-09-20 00:23:30 (Show Source): You can put this solution on YOUR website! Solved by pluggable solver: Finding the Equation of a Line First lets find the slope through the points (,) and (,) Start with the slope formula (note: (,) is the first point (,) and (,) is the second point (,)) Plug in ,,, (these are the coordinates of given points) Subtract the terms in the numerator to get . Subtract the terms in the denominator to get Reduce So the slope is ------------------------------------------------ Now let's use the point-slope formula to find the equation of the line: ------Point-Slope Formula------ where is the slope, and (,) is one of the given points So lets use the Point-Slope Formula to find the equation of the line Plug in , , and (these values are given) Rewrite as Distribute Multiply and to get Subtract from both sides to isolate y Combine like terms and to get ------------------------------------------------------------------------------------------------------------ Answer: So the equation of the line which goes through the points (,) and (,) is: The equation is now in form (which is slope-intercept form) where the slope is and the y-intercept is Notice if we graph the equation and plot the points (,) and (,), we get this: (note: if you need help with graphing, check out this solver) Graph of through the points (,) and (,) Notice how the two points lie on the line. This graphically verifies our answer. y= -x-3 slope=m= -1 slope of a line perpendicular to any line is its negative reciprocal: the origin is point (0,0) y-y[1]=m(x-x[1]) y-0=1(x-0) so our equation for the in through the origin perpendicular to our 1st line is y=x Ed

Exponents/99319: Please help me solve this problem. I am stumped on what to do. Thank-you!!! 15(23-4x2)3rd power divided by(3x25) 1 solutions Answer 72244 by edjones(7569)   on 2007-09-20 00:00:09 (Show Source): You can put this solution on YOUR website! 15(23-4x2)3rd power divided by(3x25) Next time you should make it look like this: 15(23-(4*2)^3)/(3*25) Don't use x for a times sign. If you want to get fancy you can put 3 curly brackets { } in front and 3 behind the equation and have it look like this: inner brackets 1st: 15(23-512)/75 15(-489)/75 -7335/75=-97.8 Ed

Linear-systems/99303: A nut mixture consists of almonds and cashews. Almonds are $4.98 per pound, and cashews are $6.98 per pound. How many pounds of each type of nut should be mixed to produce a 16 pounds selling for $5.73 per pound. 1 solutions Answer 72242 by edjones(7569)   on 2007-09-19 23:34:05 (Show Source): You can put this solution on YOUR website! Let x=lbs of almonds 16-x=lbs of cashews 4.98x+6.98(16-x)=5.73*16 4.98x+111.68-6.98x=91.68 -2x+111.68=91.68add 2x and subtract 91.68 from each side: 2x=20 divide 2 into each side: x=10 Check: (4.98*10)+111.68-69.8=91.68 49.8+111.68-69.8=91.6 91.68=91.68 Ed

Graphs/99315: 5Y-4(2Y+1)<2(0.5-2Y) 1 solutions Answer 72241 by edjones(7569)   on 2007-09-19 23:16:18 (Show Source): You can put this solution on YOUR website! 5y-8y-4<1-4y add 4 and 4y to each side: 5y-8y+4y<1+4 y<5 Check: y=4 20-32-4<1-16...-16<-15 True y=5 25-40-4<1-20...-19<-19 False y<5 is correct. Ed

Exponents-negative-and-fractional/99317: 4x(-12x*20) 1 solutions Answer 72240 by edjones(7569)   on 2007-09-19 23:06:07 (Show Source): You can put this solution on YOUR website! 4x(-240x)=-960x^2

Equations/99300: t-2(3-2t)=2t+9 1 solutions Answer 72235 by edjones(7569)   on 2007-09-19 22:28:21 (Show Source): You can put this solution on YOUR website! t-2(3-2t)=2t+9 t-6+4t=2t+9 5t-6=2t+9 subtract 2t and add 6 to each side: 3t=15 divide 3 into each side: t=5 Check: 5-2(3-10)=10+9 5-6+20=19 19=19 Ed

Distributive-associative-commutative-properties/99305: -2.5(2a-4) 1 solutions Answer 72233 by edjones(7569)   on 2007-09-19 22:22:52 (Show Source): You can put this solution on YOUR website! -5a+10

Inequalities/99301: I need help on this promlem beacuse i typed in this problem but i put an 18 at the end instead of a 32 so how do i figure 2(X+4)-5(x-3)=32 1 solutions Answer 72232 by edjones(7569)   on 2007-09-19 22:19:21 (Show Source): You can put this solution on YOUR website! 2(x+4)-5(x-3)=32 2x+8-5x+15=32 -3x+23=32 subtract 23 from each side: -3x=9 divide -3 into each side: x=-3 Ed

Graphs/99304: The cost for a long-distance telephone call is $0.36 for the first minute and $0.21 for each additional minute or portion thereof. Write an inequality representing the number of minutes a person could talk without exceeding $3. 1 solutions Answer 72231 by edjones(7569)   on 2007-09-19 22:14:41 (Show Source): You can put this solution on YOUR website! Ed

Travel_Word_Problems/99078: on a trip, palmer s. friedrich drove at a rate of 55 mph. he desided to return by a route that was 5 miles longer. his rate returning was 45 mph. if it took him 1 hour longer returning, how long was the second route? 1 solutions Answer 72089 by edjones(7569)   on 2007-09-19 01:12:33 (Show Source): You can put this solution on YOUR website! s=speed t=time d=distance s*t=d Going: d=d s=55 t=h Returning: d=d+5 s=45 t=h+1 Distance going = distance returning -5. Why -5 because it wouldn't be an equation if we didn't make both sides equal. We could have added 5 to the left instead of subtracting 5 from the right, the answer would have been the same. 55h=45(h+1)-5 55h=45h+45-5 55h=45h+40 subtract 45h from each side: 10h=40 divide 10 into each side: h=4 hours going and 5 hrs returning. 45*5=225 mi (distance of the 2nd route) Ans. Check: 55*4=220 mi (distance of the 1st route) 225-220=5 mi longer for the second route. Ed

Equations/98459: If p = –4 and q = 0, evaluate 3p2 – 4q. *The 2 in 3p2 is sub 2* I attempted this way: 3(-4)sub2-4(0) -12sub2-0 144 Is this correct? 1 solutions Answer 72087 by edjones(7569)   on 2007-09-19 00:38:03 (Show Source): You can put this solution on YOUR website! If you mean 3(-4)^2 or the answer is you are correct. Everybody else in the world says "3 times p squared - 4 times q" Or, you can type it in either of the ways I did on the 1st line and you will get more answers to your questions. No more "sub 2" talk! your friend, Ed

Graphs/99067: Any help will be appreciated with the following. Find the slope and the intercepts of each line. g(x)=54x-1 1 solutions Answer 72086 by edjones(7569)   on 2007-09-19 00:19:24 (Show Source): You can put this solution on YOUR website! g(x)=54x-1 the equation is in the slope-intercept form: y=mx+b where m=slope. g(x)=y so the slope is 54. the y interscept is where the line crosses the central y line where x=0 So when x=0 y=-1 (0,-1) the x interscept is where the line crosses the central x line where y=0 So when y=0 54x-1=0...54x=1...x=1/54... (1/54,0) Finito. Ed

Radicals/99070: 28.)sqrt7(2sqrt3+3sqrt7) 50.)(18+sqrt567)/9 I have added and subtracted radicals, but can not understand the multiplication or division of then. Will some one please explain them to me. I would reallt appreciate it!!! 1 solutions Answer 72085 by edjones(7569)   on 2007-09-19 00:01:21 (Show Source): You can put this solution on YOUR website! Ed

Graphs/99068: Could you please explain how to do this. graph this equation 2/3x+y/3=-1/3 1 solutions Answer 72084 by edjones(7569)   on 2007-09-18 23:42:18 (Show Source): You can put this solution on YOUR website! 2/3x+y/3=-1/3 subtract 2/3x from each side: y/3=-2/3x-1/3 multiply 3 times each side: y=-2x-1 this is called the slope-intercept form. Ed Solved by pluggable solver: Graphing Linear Equations In order to graph we only need to plug in two points to draw the line So lets plug in some points Plug in x=-5 Multiply Add So here's one point (-5,9) Now lets find another point Plug in x=-4 Multiply Add So here's another point (-4,7). Add this to our graph Now draw a line through these points So this is the graph of through the points (-5,9) and (-4,7) So from the graph we can see that the slope is (which tells us that in order to go from point to point we have to start at one point and go down -2 units and to the right 1 units to get to the next point), the y-intercept is (0,)and the x-intercept is (,0) ,or (,0) We could graph this equation another way. Since this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,). So we have one point (0,) Now since the slope is , this means that in order to go from point to point we can use the slope to do so. So starting at (0,), we can go down 2 units and to the right 1 units to get to our next point Now draw a line through those points to graph So this is the graph of through the points (0,-1) and (1,-3)

Graphs/99063: Please help me, I'm completely lost on this. Graph each equation y = 3/5x - 12/5 1 solutions Answer 72082 by edjones(7569)   on 2007-09-18 23:04:13 (Show Source): You can put this solution on YOUR website! y = 3/5x - 12/5 Stuff: graph paper, pencil, ruler, 2 points of (x,y) make x=0 then y=-12/5 (0,-2 2/5) make y=0 then 3/5x-12/5=0...3/5x=12/5...x=12/5*5/3=60/15=4...(4,0) put those points on the graph paper and draw a straight line. It should look like this. Ed

Square-cubic-other-roots/99045: What is the number that is both cubic and square at the same time? How do you work out the answer? 1 solutions Answer 72072 by edjones(7569)   on 2007-09-18 21:39:43 (Show Source): You can put this solution on YOUR website! Ed

Evaluation_Word_Problems/99023: Hello, Please help me with this story problem...I am terrible at them. I got the answer 1.5 ft. but want to check. A rug is to fit in a room so that a border of even width is left on all four sides. If the room is 12 ft by 15ft and the area of the rug is 108 ft, how wide will the border be? Thanks..>Tammy 1 solutions Answer 72069 by edjones(7569)   on 2007-09-18 21:29:30 (Show Source): You can put this solution on YOUR website! room area = 12*15=180 SQ. ft. (don't forget the word "sq.") rug area = 108 SQ. ft. (don't forget the word "sq.") Let x=amount of space between wall and rug. (12-x)(15-x)=108 180-27x+x2=108 rearange and subtract 108 from each side: x^2-27x+72=0 Factor:(x-24)(x-3)=0 x=24 and x=3 x=3 ft. must be the answer because x=24 is WAY too big. Check: 12-3 * 15-3=9*12=108 Ed

Rectangles/98938: A cyclon fence will cover a rectangular piece of land, which area measures 800fts cubics and the height of the land double its wide. How much feets of cyclon fence will need? 1 solutions Answer 72014 by edjones(7569)   on 2007-09-18 15:14:50 (Show Source): You can put this solution on YOUR website! A=area L=length W=width A=L*W L=2W substitute 2W for L: A=W*2W W*2W=800 2W^2=800 divide both by 2: W^2=400 square root of both: W=20 feet L=40 feet Check: 20*40=800 square feet Ed

Inequalities/98936: Can someone please help me. I got this inequality problem wrong on my homework. Thanks! (1/3 < x/2)+(1/3 < 5/6) 1 solutions Answer 72013 by edjones(7569)   on 2007-09-18 15:00:33 (Show Source): You can put this solution on YOUR website! 1/3 < x/2+ 1/3 < 5/6 multiply 6 time the inequality: 2<3x+2<5 subtract 2: 0<3x<3 divide by 3: 0 Check: let x=.5: 1/3<1/4+1/3<5/6...1/3<3/12+4/12<5/6...1/3<7/12<5/6 true let x=0: 1/3<1/3 false let x=1: 1/2+1/3<5/6...3/6+2/6<5/6 false therefore: is right on! Ed

Linear-equations/98928: Can you please show me how to solve this equation? -3[3x-(2x+5)]=-4-[3(2x-4)-3x] 1 solutions Answer 72007 by edjones(7569)   on 2007-09-18 14:25:05 (Show Source): You can put this solution on YOUR website! -3[3x-(2x+5)]=-4-[3(2x-4)-3x] work on inside parentheses 1st: -3[3x-2x-5]=-4-[6x-12-3x] outside parentheses next: -9x+6x+15=-4-6x+12+3x combine like terms: -3x+15=-3x+8 add 3x to each side: 15=8 The equation has no solution it graphs 2 parallel lines. Ed

Numbers_Word_Problems/98926: The difference of the square of two consecutive positive consecutive odd integers is 32. Find the integers 1 solutions Answer 72006 by edjones(7569)   on 2007-09-18 14:09:28 (Show Source): You can put this solution on YOUR website! let the consecutive odd integers be: x, x+2 (x+2)^2-x^2=32 x^2+4x+4-x^2=32 cancel the x^2's out: 4x+4=32 subtract 4 from each side: 4x=28 divide 4 into each side: x=7 x+2=9 Check: 9^2-7^2=32 81-49=32 Ed

Graphs/98917: This question is from textbook Prentice Hall Mathematics (Algebra 1 1 solutions Answer 72005 by edjones(7569)   on 2007-09-18 13:56:53 (Show Source): You can put this solution on YOUR website! add 5/8 to each side: x=12/8=3/2 Ed

Points-lines-and-rays/98908: Hi, I was wondering if you don't mind helping me with this word problem: If the perimeter of a sqauare and the circumference of a circle are the same, then which one of the two has a smaller area? Expain your eanswer please. Thanks 1 solutions Answer 71993 by edjones(7569)   on 2007-09-18 12:36:19 (Show Source): You can put this solution on YOUR website! let perimeter of a square=x then each side is x/4 and the area A=(x/4)^2=x^2/16 let circle circumference=y so the area of a circle is the green line in the graph. The area of a circle is larger than the area of a square for all measurements perimeter and circumference. They approach each other as they approach zero. Ed

Human-and-algebraic-language/98895: If the difference of a number and four is doubled, the result is 1/4 less than the number. Find the number. 1 solutions Answer 71984 by edjones(7569)   on 2007-09-18 10:24:12 (Show Source): You can put this solution on YOUR website! 2(x-4)=3x/4 2x-8=3x/4 multiply 4 times both sides 8x-32=3x subtract 3x and add 32 to both sides: 5x=32 divide 5 into each side: x=32/5 Check: (32/5)-(20/5)=12/5 (12/5)*2=24/5 (32/5)*(1/4)=8/5 32/5-8/5=24/5 24/5=24/5 Ed

Numeric_Fractions/98879: Robin ran 5 1/3 miles on Sunday, 2 1/4 miles on Tuesday and 3 1/2 miles on Friday. How far did she run during the week? Thank you again for the help 1 solutions Answer 71977 by edjones(7569)   on 2007-09-18 09:59:02 (Show Source): You can put this solution on YOUR website! 5 1/3+ 2 1/4+ 3 1/2= lcd=12: =11 1/12 Ed

Reduction-of-unit-multipliers/98775: This question is from textbook Chemistry Five beans have a mass of 2.1g How many beans are in 0.454kg of beans 1 solutions Answer 71875 by edjones(7569)   on 2007-09-17 19:11:06 (Show Source): You can put this solution on YOUR website! let x = nuber of beans in .454 kg multiply 454 times each side: x=2270/2.1=1080 beans Ed

Numeric_Fractions/98767: Quadruple one fifth of some fration that is greater than zero. Then, multiply the result by the fraction again to get the product 1/5. WHAT IS THE FRACTION? 1 solutions Answer 71874 by edjones(7569)   on 2007-09-17 18:55:59 (Show Source): You can put this solution on YOUR website! let x= the fraction by inpection of the formula: take sqrt of both sides: x=1/2 Ans. and -1/2 (-1/2 is extraneous) Check: (1/2)*(1/5)=1/10 1/10*4=4/10=2/5 (2/5)*(1/2)=2/10=1/5 Ed

Radicals/98760: COULD SOMEONE PLEASE SHOW ME HOW TO SOLVE THIS EQUAATION? i CAN ONLY GET SO FAR. This is what i have gotten cant seem to remember how to get any further. 1 solutions Answer 71866 by edjones(7569)   on 2007-09-17 18:26:18 (Show Source): You can put this solution on YOUR website! you subtracted 1 from 9 and got 1 divide 4 into each side: x=2 good work! small mathematical mistake. Check: sqrt((4*2)+1)=+3 and -3 (+3 is extraneous for this equation) Ed

Miscellaneous_Word_Problems/98754: Mrs. Morris has 84 dance students. If she has five times as many teenage students as adult students, how many adult students does she have? 1 solutions Answer 71864 by edjones(7569)   on 2007-09-17 18:14:30 (Show Source): You can put this solution on YOUR website! a=adult t=teens t=5a t+a=84 substitute 5a for t in the 2nd equation: 5a+a=84 6a=84 divide 6 into both sides: a=84/6=14 adults Check: 14*5=70 teens 70+14=84 Ed

Numeric_Fractions/98756: There is a problem I am really stuck on: 2/3! +1/ 1/2! +4. I have already figured out part of it and where I am now is 1 1/3 / 4 1/2 or 4/3 / 9/2. I dont know what to do from there. 1 solutions Answer 71863 by edjones(7569)   on 2007-09-17 18:06:46 (Show Source): You can put this solution on YOUR website! 2/3! +1 1/2! +4 this is how i read it 2/(3*2) +5 +1/2 2/6 +5 +1/2 1/3 +5 +1/2 lcd=6: 2/6 +5 +3/6 5 5/6 Ed