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# Recent problems solved by 'elima'

elima answered: 1432 problems
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 Triangles/26384: In a right triangle the hypotenuse is usually labeled c and the legs are a and b.Find the missing side in each of the following.If the answer is not exact, express it to the nearest tenth. a=7 b=? c=251 solutions Answer 14335 by elima(1433)   on 2006-02-03 16:51:24 (Show Source): You can put this solution on YOUR website!To solve this you use the Pythagorean theorem, which says; += So we just plug into the equation the values given; += 49+=625 subtract 49 from each side; =625-49 =576 Now to get rid of the square you are going to find the sqroot; = b=24 Hope you understand =)
 Graphs/26365: how do you graph Y=5X-3?1 solutions Answer 14334 by elima(1433)   on 2006-02-03 16:40:06 (Show Source): You can put this solution on YOUR website!It is in slope-intercept form, slope = y-intercept=-3 So plot the point (0,-3) on a graph, and with the slope of , plot your next point. you should actually do at least three points. So your going to sttart at the point (0,-3), go p 5 units and to the right 1. That is your next point, then from that point go up 5 units and to the right 1. That is point 3 and you connect those with a straight line and that is your graph! hope you understand =)
 Expressions-with-variables/26297: Find the genral form of the equation of the line that passes through the points (1, -3) and (5, 2)1 solutions Answer 14333 by elima(1433)   on 2006-02-03 16:33:13 (Show Source): You can put this solution on YOUR website!First you need to find the slope; m= m= m= Now that we have slope we can plug in the points given to get the y-intercept; Y-Y1=m(X-X1) y-2=(x-5) y=x-5+2 y=x-3 Hope you understand =)
 Numeric_Fractions/26474: When dealing with Trinomials what is the formula to determine whether it factor. For example x2 + 6x +8 I look at it as 8x + 8 =161 solutions Answer 14324 by elima(1433)   on 2006-02-03 13:52:24 (Show Source): You can put this solution on YOUR website!Doesn't the equation actually read; +6x+8 If so you can not add + 6x, they are not like terms; You would factor; (x+4)(x+2) =)
 Functions/26475: i am so sory to bother you. but the thing here is that i am a 10th grader in hight school. and i need help on algebra 1. is there any way you can help me with a tutor? maybe not person to person but to help me out. finals are comming and i really dont have time to stay after school. i baby sit. so if there is any chance you might be able to help thank you. if not then still thank you! ruby1 solutions Answer 14323 by elima(1433)   on 2006-02-03 13:40:59 (Show Source): You can put this solution on YOUR website!I would be glad to help when I can. You can e-mail me anytime, I just can't guarantee when and how often I will be available. You can also just keep posting questions on this site and they should be answered. =)
 Rational-functions/26301: I need help with understanding inequality with two variable. Example how to solve -2x+y less then or greater then 4 I have tried y=4/2x The answer on the book states y=2x+4 Why? Second step is to graph the inequality. How do i find the plots in order to see where the shaded point should be? Do you know of any link that could help with these problems? 1 solutions Answer 14322 by elima(1433)   on 2006-02-03 13:36:08 (Show Source): You can put this solution on YOUR website!Try this sight; www.hotmath.com, when you enter go into the Algebra tap, and at the bottom of that page is hotmath algebra, click on that. It looks like you divided 4 by 2 which you should do is add 2x to both sides. =)
 Linear-equations/26428: i need help in this problems find three solutuions of each equation. 1)3x-y=6 2)5x+7y=19 make a table of solutions and graph each equation. y=x y=-2x y=x+1 y=2x+1 y=-3x-1 thank you very much 1 solutions Answer 14320 by elima(1433)   on 2006-02-03 13:28:00 (Show Source): You can put this solution on YOUR website!Sorry we did not get to your problem til today, hope this helps! For each eqution you are going make a table choosing values for x and solving the eqution for y; 1)3x-y=6 x|y ---- 1| 2| 0| So when x=1; 3(1)-y=6 3-y=6 -y=6-3 -y=3 y=-3 One solution; (1,-3) When x=2; 3(2)-y=6 6-y=6 -y=6-6 y=0 2nd solution; (2,0) When x=0; 3(0)-y=6 o-y=6 -y=6-0 -y=6 y=-6 3rd so;ution;(0,-6) Now see if you can do the next one; for the next problems ,you will do the same thing, but then you graph them; y=x x|y --- 1| 2| 0| when x=1; y=(1) First point (1,1) when x=2; y=(2) 2nd point; (2,2) when x=0; y=(0) 3rd point (0,0) Now graph; Now see if you can graph the others, if you have problems let me know =)
 Graphs/26370: how would you graph 4x+ 5y = 151 solutions Answer 14319 by elima(1433)   on 2006-02-03 13:13:21 (Show Source): You can put this solution on YOUR website!15First you need to put the equation in slope-intercept form; y=mx+b 4x+5y=15 5y=15-4x 5y=-4x+15 y=-x+15 So now y-intercept = 15, and slope is - So on the graph you will plot the point (0,15), and from there and with the slope of -, you will plot your next point. From point (0,15) you will go down 4 units and to the left 5. When you have 3 points you connect those with a line. Hope you understand =)
 logarithm/26262: Find three consecutive integers whose sum is -331 solutions Answer 14145 by elima(1433)   on 2006-02-01 20:22:58 (Show Source): You can put this solution on YOUR website!Let x = the first integer x+1 = second integer x+2 = third integer x+(x+1)+(x+2)=-33 3x+3=-33 3x=-36 x=-12 =)
 logarithm/26258: Find two consecutive odd integers whose sum is 961 solutions Answer 14144 by elima(1433)   on 2006-02-01 20:20:18 (Show Source): You can put this solution on YOUR website!Let x = the first integer let x+2 = the second integer x+(x+2)=96 2x+2=96 2x=94 x=47 =)
 Proportions/26241: 4/5 = x/7 can you help me answer that?1 solutions Answer 14142 by elima(1433)   on 2006-02-01 20:17:08 (Show Source): You can put this solution on YOUR website!= Multiply each side by 7; (7)=(7) =x 5}=x =)
 Inequalities/26221: 4p<-2 and 2+p>-51 solutions Answer 14141 by elima(1433)   on 2006-02-01 20:12:45 (Show Source): You can put this solution on YOUR website!4p<-2 First divide 4 from each side; < p< 2+p>-5 Subtract 2 from each side; 2+p-2>-5-2 p>-7 Hope you understand =)
 Linear-systems/26206: y=2x-1 y=x+1 i have no idea how to solve by graphing can you show step by step not concerned about just answer1 solutions Answer 14140 by elima(1433)   on 2006-02-01 20:09:08 (Show Source): You can put this solution on YOUR website!THese are already in slope-intercept form, so you ould graph them; eq.1; y-intercept=-1 slope = eq.2; y-intercepr=1 slope = So on the graph you will make a your first point at (0,-1) From that point you will go up 2 units and to the right 1; Your next point should be (1,1); Then from there go up 2 units and right 1; 3rd point (2,3); Eq.2; You will start at point (0,1); Fom that point go up 1 unit and to th right 1, your second point should be (1,2); From that point go up 1 unit and to the right, 3rd point (2,3), lets do 1 more point; so from point (2,3) go up 1 unit and to the right 1 (3,4) Where those lines intersect, that point will be the solution for both eq. Hope you understand =)
 Expressions-with-variables/26204: The length of a rectangle is 3 timess the width. The perimeter is 120 meters. Find the length and width.1 solutions Answer 14135 by elima(1433)   on 2006-02-01 19:48:17 (Show Source): You can put this solution on YOUR website!Formula for perimeter of regtangle; p=2l+2w; With the values given solve the equation; p=120 l=3w 120=2(3w)+2w 120=6w+2w 120=8w 15=w So the width = 2(15) w=30 l=3w=3(15)=45 check; 120=2(45)+2(15) 120=90+30 =)
 Polynomials-and-rational-expressions/26234: 2x-2y=18 x=6-2y1 solutions Answer 14131 by elima(1433)   on 2006-02-01 18:44:53 (Show Source): You can put this solution on YOUR website!This can be solved different ways; we will solve it be substitution; We will take eq.2 x=6-2y and substitute that for x in eq.1; 2(6-2y)-2y=18 12-4y-2y=18 12-6y=18 -6y=18-12 -6y=6 y=-1 Now lets plug that into eq.2 for y; x=6-2(-1) x=6+2 x=8 Hope you understand =)
 Expressions-with-variables/26203: The length of a rectangle is 5 cm more than twice the width. The perimeter is 82 cm. Find the length and width.1 solutions Answer 14130 by elima(1433)   on 2006-02-01 18:38:08 (Show Source): You can put this solution on YOUR website!Formula for a perimeter; p=2l+2w Now fill in the equation with the given values; p= 82cm l=w+5 82=2(w+5)+2w 82=2w+10+2w 82=4+10 72=2w 18=w So the width = the length = +5 l= =)
 Polynomials-and-rational-expressions/26146: how do you factor the polynomial 5x+30y? thanks Holly1 solutions Answer 14096 by elima(1433)   on 2006-02-01 09:53:40 (Show Source): You can put this solution on YOUR website!5x+30y Factor out GCF; 5(x+6y) =)
 Linear-systems/26030: Here is my last one. This seems to evade me totally. -x+y=2 x+y=4 Can you solve by graphing? Thank you so much.1 solutions Answer 14048 by elima(1433)   on 2006-01-31 15:13:57 (Show Source): You can put this solution on YOUR website!There are diferent ways to solve this, and yes one is by graphing; You make a table choosing values for x and then solving the equation for y; So lets pick values for x; when x=1 -x+y=2 -(1)+y=2 y=2+1 Y=3 So one point would be(1,3); And if you plugeg that into the equation; x+y=4 (1)+(3)=4 Now see if you can get two more points and graph the equation =)
 Miscellaneous_Word_Problems/25864: –5(4x – 4) + 4(5x + 5) = x – 101 solutions Answer 13915 by elima(1433)   on 2006-01-29 20:00:28 (Show Source): You can put this solution on YOUR website!First distribute the -5 and the 4; -20x+20+20x+20=x-10 40=x-10 40+10=x 50=x Hope you understand =)
 Miscellaneous_Word_Problems/25858: 3x – 7 = 2x + 81 solutions Answer 13914 by elima(1433)   on 2006-01-29 19:56:16 (Show Source): You can put this solution on YOUR website!3x-7=2x+8 subtract 2x from both sides; 3x-7-2x=2x+8-2x x-7=8 Now add 7 to both sides; x-7+7=8+7 x=15 Hope you understand =)
 Linear_Algebra/25850: I'm just stuck on this easy question. I know I just use the LCD; but I keep getting stuck. (x +1) + (x+2)=2 The (x+1) is over 3 and the (x+2) is over 7, so they are two fractions being added but I couldn't get it to look right on this screen. I have tried multiplying the whole equation by 21; isn' that correct? i need some help.1 solutions Answer 13913 by elima(1433)   on 2006-01-29 19:50:27 (Show Source): You can put this solution on YOUR website!+=2 The LCD=21, so you multiply the first equation by 7, the second equation by 3; +=2 +=2 =2 =2 Now multiply each side by 21; 10x+13=42 10x=42-13 10x=29 x=2.9 Hope this helps =)
 Quadratic_Equations/25852: Find two consecutive integers such that the sum of 4 times the first integer and 8 times second integer is 68.1 solutions Answer 13912 by elima(1433)   on 2006-01-29 19:35:13 (Show Source): You can put this solution on YOUR website!Let x be the =first integer x+1 = the second intger 4x+8(x+1)=68 4x+8x+8=68 12x+8=68 12X=60 X=5 The first integer = 5 and the second integer; x+1=5+1=6 Hope you understand =)
 Distributive-associative-commutative-properties/25826: use the distributive property to write an expression that is equivalent to 3ax+6ay1 solutions Answer 13909 by elima(1433)   on 2006-01-29 17:58:03 (Show Source): You can put this solution on YOUR website!3ax+6ay factor out 3a; 3a(x+2y) =)
 Exponents-negative-and-fractional/25827: What is 8 to the 2/3 power or 8^2/3? Thanks.1 solutions Answer 13908 by elima(1433)   on 2006-01-29 17:52:26 (Show Source): You can put this solution on YOUR website! this is actually the cube root of 8, not 3(squareroot 0f 8); =4 Hope you understand =)
 Linear-equations/25713: find 4 solutions for 7x+2y=51 solutions Answer 13904 by elima(1433)   on 2006-01-29 17:18:44 (Show Source): You can put this solution on YOUR website!For this equation you make a table choosing values for x and solving the equation for y; x|y --- -1| 3| -3| So when x=-1; 7(-1)+2y=5 -7+2y=5 2y=5+7 2y=12 y=6 X=-1, y=6 7(3)+2y=5 21+2y=5 2y=5-21 2y=-16 y=-8 So when x=3, y=-8 7(-3)+2y=5 -21+2y=5 2y=5+21 2y=26 y=13 When x=-3, y=13 Hope you understand =)
 Money_Word_Problems/25797: Here is my question: A banker invested a portion of \$10,000 at 5% interest per year and the remainder at 4% interest per year. If the banker received \$470 in interest after 1 year, how much was invested at each rate? I really don't get this, PLEASE HELP!!!!1 solutions Answer 13901 by elima(1433)   on 2006-01-29 16:56:01 (Show Source): You can put this solution on YOUR website!Let x be the amount he invested at 5%, 10,000-x=amount invested at 4% so we have; 5%x+(10,000-x)4%=470 5%x+400-4%x=470 400+1%x=470 1%x=70 x=7000 So if \$7,000 was invested at 5%; then \$7,000-10,000=\$3,000 \$3,000 wasinvested at 4% Hope you understand =)
 Evaluation_Word_Problems/25801: Mr. Lead want to mix pencils costing \$0.15 each with pencils costing \$0.35 each. The mixture will cost \$3.45. The number of \$0.35 pencils is 7 more then the number of \$0.15 pencils. How many of each type of pencil should be included in the package?? 1 solutions Answer 13900 by elima(1433)   on 2006-01-29 16:34:49 (Show Source): You can put this solution on YOUR website!Let x=pencils that cost .15 so; x+7=pencils that cost .35 .15x+.35(x+7)=3.45 .15x+.35x+2.45=3.45 .50x+2.45=3.45 .50x=1 x=2 So there were 2 pencils at .15; and there were 9 pencils at .35. Hope you understand =)
 Evaluation_Word_Problems/25803: Ribbons costing \$0.20 each are mixed with ribbons costing \$0.15 each. The mixture costs \$1.20. The number of \$0.20 ribbons is 3/4 of the \$0.15 ribbons. Find the number of each type of ribbon in the box. Thank You!!1 solutions Answer 13899 by elima(1433)   on 2006-01-29 16:26:10 (Show Source): You can put this solution on YOUR website!Let x=ribbons that cost .15 then x=ribbons that cost .20 so we have; .15x+.20=1.20 .15x+.15x=1.20 .30x=1.20 x=4 So the ribbons that cost .15 is 4; and the ribbons that cost .20= (4)=3 Hope you understand =)
 Distributive-associative-commutative-properties/25810: (9 - 5)2 + 5 + 4² = 1 solutions Answer 13895 by elima(1433)   on 2006-01-29 16:04:52 (Show Source): You can put this solution on YOUR website!(9 - 5)2 + 5 + 4² = You would follow Order Of Operations to solve this (PEMDAS) Parenthsis first; (9-5)2+5+= (4)2+5+= 8+5+= Exponents; 8+5+16= then add; 13+16=29 =)
 Linear-systems/25793: I can not figued this promblem out . I have tried for over 2 hours. Please help I nned to show my work -x-5y=30 2x-7y=25 1 solutions Answer 13882 by elima(1433)   on 2006-01-29 13:02:51 (Show Source): You can put this solution on YOUR website!-x-5y=30 2x-7y=25 We will solve this by elimination, that means you want to eliminate one variable so you can solve the equation for the other, you need to add the equations together to be able to eliminate a variable; Before we do this you need to make one of the variables exact opposites of each other so they cancel out; So we will multiply 2 to eq.1; (2)-x-5y=30 -2x-10y=60 Now we can add the equtions together; -2x-10y=60 2x-7y=25 ---------- -17y=85 Now that one variable was eliminated, solve for y; -17y=85 y=-5 Now plug the answer you got for y into one of the equaitons and solve for x; -x-5(-5)=30 -x+25=30 -x=5 x=-5 Hope you understand =)
 Inequalities/25786: m-3<-171 solutions Answer 13880 by elima(1433)   on 2006-01-29 12:34:39 (Show Source): You can put this solution on YOUR website!Add 3 to both sides; m-3+3<-17+3 m<-14 =)