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# Recent problems solved by 'elima'

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 real-numbers/16530: How do you write a repeating decimal as a fraction? 1 solutions Answer 8072 by elima(1433)   on 2005-10-22 07:29:09 (Show Source): You can put this solution on YOUR website!If all the digits are repeating from the beginning, you would place those in the numerator and 9's in the denominator. You place as many nines as you have digits repeating; ex. 0.18 and the 18 is repeating; ; then reduce Ex. .405 and the 405 is repeating; ; then reduce Hope you understand =)
 Miscellaneous_Word_Problems/16512: Factor x squared minus 9 over 3x minus 9.1 solutions Answer 8048 by elima(1433)   on 2005-10-21 16:40:31 (Show Source): You can put this solution on YOUR website!Factor x squared minus 9 over 3x minus 9 Cancel out the (x-3); Hope you understand =)
 real-numbers/16513: I need help, wen u multiply integers and letters...i really dont no wat to do pleez help....for example....(-4)(15p)= wat would that equal and y?1 solutions Answer 8046 by elima(1433)   on 2005-10-21 16:34:18 (Show Source): You can put this solution on YOUR website!(-4)(15p)= -60p You would multiply the -4(15), which is a negative * a positive, so the answer will be negative, also 4(15)=60 So tou have -60, and the p stays p because we do not now what it =. So your answer would be; -60p Hope this helps some =)
 Functions/16500: -4/9(2x-4)=48 please show me stepwise1 solutions Answer 8045 by elima(1433)   on 2005-10-21 16:14:53 (Show Source): You can put this solution on YOUR website!=48 Distribute the =48 =48 Multiply each side by 9; (9)=48(9) That cancels out the nine on the left side of equation; -8x+16=432 Subtract 16 form both sides -8x+16-16=432-16 -8x=416 Divide each side by -8; x=-52 Don't forget to check your answer Hope you understand =)
 real-numbers/16400: Find three consecutive odd intergers whose sum is 105. 1 solutions Answer 7991 by elima(1433)   on 2005-10-20 20:27:56 (Show Source): You can put this solution on YOUR website!Find three consecutive odd intergers whose sum is 105. The consecutive numbers will be; x, x+2, x+4 x+(x+2)+(x+4)=105 3x+6=105 3x=105-6 3x=99 x=33 Now that you have the first odd integer, you think you could get the others? Hope you understand =)
 Quadratic_Equations/16402: I am a 44 year old who is studying for my year 10 and I need help with factorise and simplify. I have read all the books I could find on the subject but they just confuse me more. How would I for e.g factorise and simplify 5b+15 ______ 7b+21 I need all the help I can get. thank you.1 solutions Answer 7990 by elima(1433)   on 2005-10-20 20:22:52 (Show Source): You can put this solution on YOUR website!5b+15 ______ 7b+21 Start with the numerator; 5b+15; to factorout the 5, 5(b+3) Now the denominator; 7b+21 facot out the 7; 7(b+3) now you have; Now you can cancel out the (b+3); and your answer would be; Glad to hear your coming back, GOOD LUCK!!! =)
 Human-and-algebraic-language/16394: Two consecutive odd numbers. Five less than twice the smaller is equal to four more than the larger. Find the two numbers.1 solutions Answer 7989 by elima(1433)   on 2005-10-20 20:06:36 (Show Source): You can put this solution on YOUR website!Two consecutive odd numbers. Five less than twice the smaller is equal to four more than the larger. Find the two numbers Our odd numbers will be; x, x+2 Five less than twice the smaller is equal to; 2x-5= four more than the larger (x+2)+4 Now but them together; 2x-5=(x+2)+4 2x-5=x+6 2x-x=6+5 x=11 x+2=13 So the odd numbers are; 11, 13 Hope you understand; =)
 Numbers_Word_Problems/16351: the greater of 2 numbers is 7 more than the lesser. Three times the greater number is 5 more than 4 times the lesser number find the nuber1 solutions Answer 7988 by elima(1433)   on 2005-10-20 19:58:10 (Show Source): You can put this solution on YOUR website!x=greater number y=lesser number the greater of 2 numbers is 7 more than the lesser x=y+7 Three times the greater number is 5 more than 4 times the lesser number 3x=5+4y We will begin by substituting x=y+7 in the second equation; 3(y+7)=5+4y 3y+21=5+4y 3y-4y=5-21 -y=-16 y=16 Now we have what y =, so we plug it into the equation to find x, x=y+7 x=16+7 x=23 We are done, we have both y and x; x=23 y=16 Don't forget to check your answer! hope you understand =)
 Human-and-algebraic-language/16390: The sun of two numbers is 64. Twice the lesser number is five more that the greater number. Find the numbers.1 solutions Answer 7987 by elima(1433)   on 2005-10-20 19:37:32 (Show Source): You can put this solution on YOUR website!The sun of two numbers is 64. Twice the lesser number is five more that the greater number. Find the numbers. let x = the lesser number let y = greater number So our equations would be; x+y=64 2x=y+5 Now first we will solve x; x+y=64 y=64-x Now substitute this answer for y into one of the equations; 2x=(64-x)+5 2x=69-x 2x+x=69 3x=69 x=23 So now we have our x, so we can plug it into an equation to get y; 2(23)=y+5 46=y+5 46-5=y 41=y So now we have; x=23 y=41 Don't forget to check your answer! Hope you understand =)
 Equations/16384: 5x+5y=40 -5x+4y=-41 solutions Answer 7983 by elima(1433)   on 2005-10-20 19:23:24 (Show Source): You can put this solution on YOUR website!We will solve this one using elimination so we can find what one variable =; We begin by adding the two equations toogether; 5x+5y=40 -5x+4y=-4 ---------- 9y=36 Divide both sides by 9 y=4 Now we have what y=, so now we can solve for x; 5x+5(4)=40 5x+20=40 5x=40-20 5x=20 x=4 So now we have; x=4 y=4 Hope you understand =)
 absolute-value/16371: 4(5n-7)=10n+21 solutions Answer 7980 by elima(1433)   on 2005-10-20 18:13:39 (Show Source): You can put this solution on YOUR website!4(5n-7)=10n+2 First distribute the 4(5n-7); 20n-28=10n+2 Now subtract both sides by 10n and add 28 to both sides; 20n-10n=2+28 10n=30 n=3 Hope you understand =)
 Complex_Numbers/16312: please help me with {x+6y=2 {5x+4y=361 solutions Answer 7973 by elima(1433)   on 2005-10-20 15:57:59 (Show Source): You can put this solution on YOUR website!eqn.1 x+6y=2 eqn.2 5x+4y=36 We will begin this by eliminating one variable so we can solve the other. Lets eliminate the x, to do that we need to multiply -5 to eqn.1 (-5)x+6y=2 -5x-30y=-10; Now we will add eqn.1 and eqn.2 together; -5x-30y=-10 5x+4y=36 ----------- -26y=26 y=-1 Now we have what y =, so we can plug that into either equation and find x; x+6(-1)=2 x-6=2 x=8 Now we have our answer; x=8, y=-1 Don't forget to check; x+6y=2 8+6(-1)=2 8-6=2 Hope you understand =)
 Age_Word_Problems/16343: I have a really hard time on getting the formula on word problems. I read them, understand what they are asking, I even get the answer but cannot seem to translate the words on to the paper in a form of a equation. The problem I am having trouble on is: "Batman is 20 years older then robin. In 4 years, Batman will be twice Robin age. How old are they now?" I get.. Robin=x Batman=20+x(Batman older by 20 years ) Batman=2(20+x)( Batman where he is twice as Robin) The answer I get is that Batman is 36 right now, and Robin is 16, because in 4 years Batman is going to be 40, and Robin 20, Batman is TWICE Robin's age. 20x2=40... Please help me in getting Enlgish translated into Algebra equation. 1 solutions Answer 7972 by elima(1433)   on 2005-10-20 15:45:41 (Show Source): You can put this solution on YOUR website!"Batman is 20 years older then robin. In 4 years, Batman will be twice Robin age. How old are they now?" Robin=x Batman=20+x(Batman older by 20 years ) Very good, you have this correct; But you do not have the next eqution correct; Batman will be twice Robin age; In your equation you have Batmans age; Batman=2(20+x) It should be; 2x(Robins age) Batman is 20 years older then robin,In 4 years, 20+x+4= Batman will be twice Robin age. 2x So our equation would be; 20+x+4=2x x+24=2x 24=2x-x 24=x So Robins age is 24; Batmans age; (24)+20=44 Now check; 20+(24)+4=2(24) 48=48 Hope you see where you went wrong, you were doing a good job though; =)
 decimal-numbers/16354: HOW CAN YOU DETERMINE "LIKE TERMS" IN ALGEBRA, I AM HAVING A HARD TIME. WHAT SHOULD I DO? 8s - 3s + 4k =5s+4k because the like terms are like family members 10x + 6y -5x =15x+6y 12 + 6p + 3q - 5p + 7q =12+11p-4q1 solutions Answer 7971 by elima(1433)   on 2005-10-20 15:23:52 (Show Source): You can put this solution on YOUR website!Like terms are any term that is EXACTLY ALIKE. such as; x+x=; you can add them together because they are exactly alike; x+x=2x But if you had terms such as; ; you could not add them together because they are not exactly alike. the first x is to the power of one, the second x is to the power of 2; So in your equations; 8s - 3s + 4k = You can subtract 8s-3s, because they are like terms; 8s-3s+4k=11s+4k; you can not add these together because they are not like terms, they have different variables. 10x + 6y -5x =; You can subtract 10x-5x, because they are like terms, 10x-5x=5x+6y; you can not add together because they are not like terms. 12 + 6p + 3q - 5p + 7q = You can subtract 6p-5p=p; 3q+7q=10q; So you have; 12+p+10q You can not add the 12 because it is not like any other term. Hope you understand =)
 Numbers_Word_Problems/16342: Find two consecutive even integers such that five times the first equals ten more than three times the second.1 solutions Answer 7969 by elima(1433)   on 2005-10-20 14:37:49 (Show Source): You can put this solution on YOUR website!Find two consecutive even integers such that five times the first equals ten more than three times the second. Our 2 integers will be; x, x+2 Now 5 times the first; 5x= 10 more than 3 times the second; 3(x+2)+10 So we have; 5x=3(x+2)+10 5x=3x+6+10 5x-3x=16 2x=16 x=8 Hope you understand =)
 Complex_Numbers/16314: {2w+5y=-24 {3w-5y=14 please help me with this problem1 solutions Answer 7951 by elima(1433)   on 2005-10-20 09:18:45 (Show Source): You can put this solution on YOUR website!{2w+5y=-24 {3w-5y=14 Add both equations together to eliminate one variable; 2w+5y=-24 3w-5y=14 ---------- 5w=-10 Divide both sides by 5; w=-2 Now that you know what w = we can plug that in the equation and find y; 2(-2)+5y=-24 -4+5y=-24 5y=-24+4 5y=-20 y=-4 w=-2 y=-4 Hope you understand =)
 Equations/16310: I am having problems in solving this equation. 19-(2x+3)=2(x+3)+x take everthing out of bracket 19-2x+3=2x+6+x without Bracket +2x+22=2x+6+x Added 19+3 +22=-2x+2x+x move variable to one side +22=x -2x+2x cancel each other out What am I doing wrong Thank-you I'm sorry I gave you the wrong e-mail address here is the correct one.1 solutions Answer 7945 by elima(1433)   on 2005-10-20 07:52:40 (Show Source): You can put this solution on YOUR website!19-(2x+3)=2(x+3)+x take everthing out of bracket 19-2x+3=2x+6+x without Bracket +2x+22=2x+6+x Added 19+3 +22=-2x+2x+x move variable to one side +22=x -2x+2x cancel each other out First when you distribute the -1 to (2x+3), they both change to -; 19-2x-3=2(x+3)+x Now distribute the 2(x+3); which you did correctly; so you have: 19-2x-3=2x+6+x Now move variable to one side and add like terms; 16-6=2x+x+2x 10=5x Divide by 5; = 2=x =)
 Linear-systems/16240: Please help I have tried this problem over and over. 22x + 2(3x+5)=66 where do you start first?1 solutions Answer 7915 by elima(1433)   on 2005-10-19 19:05:35 (Show Source): You can put this solution on YOUR website!22x + 2(3x+5)=66 You want to start with distributing the 2; 2*3x+2*5=6x+10; Now you have ; 22x+6x+10=66 Add like terms; 28x+10=66 Subtract 10 from both sides; 28x+10-10=66-10 28x=56 Divide both sides by 28; = x=2 Hope you understand =)
 Numeric_Fractions/16172: I am really confused, how do you multiply and divide fractions? For example what is 6 divided by 2/3? and 2/5 x 1/2?1 solutions Answer 7914 by elima(1433)   on 2005-10-19 19:00:33 (Show Source): You can put this solution on YOUR website!Multiplying and dividing fractions are much easier than adding and subtracting. 6 divided by 2/3? With your first problem, when it comes to dividing fractions, you need to multiply the inverseinvert the divisor: Which is 2/3 and it becomes 3/2 Now we multiply the fractions; 6/1*3/2=18/2=9 2/5 x 1/2? You multiply the numerator times the numerator and denominator times the denominator. 2/5*1/2=2*1, 5*2 2/10=1/5 Hope you understand =)
 Numbers_Word_Problems/16205: find 3 consecutive integers that are equal to 991 solutions Answer 7910 by elima(1433)   on 2005-10-19 18:41:47 (Show Source): You can put this solution on YOUR website!find 3 consecutive integers that are equal to 99 Let x = the first integer; So, x+1=second integer x+2=third integer So we have; x+(x+1)+(x+2)=99 3x+3=99 3x=96 x=32 So our first integer is 32, can you figure out what the next two are? Hope you get it =)
 Inequalities/16189: -7n-10=41 solutions Answer 7908 by elima(1433)   on 2005-10-19 18:37:06 (Show Source): You can put this solution on YOUR website!-7n-10=4 Add 10 to both sides; -7n-10+10=4+10 -7n=14 Divide both sides by -7; = n=-2 Hope you get it =)
 Expressions-with-variables/16212: e-3=-21 solutions Answer 7907 by elima(1433)   on 2005-10-19 18:34:37 (Show Source): You can put this solution on YOUR website!e-3=-2 Add 3 to both sides; e-3+3=-2+3 e=1 =)
 Equations/16207: Please help me solve this pre algebra equation : r + 23 = 56 Thank You1 solutions Answer 7906 by elima(1433)   on 2005-10-19 18:32:12 (Show Source): You can put this solution on YOUR website!r + 23 = 56 You subtract 23 from both sides; r+23-23=56-23 When you do that it cancels out the 23 on the left side and leaves the variable by itself; r=33 Hope you understand =)
 Numbers_Word_Problems/16219: Please Help You want to find three consecutive intergers whose sum is 84. Why does the equation n + (n+1) + (n+2) = 84 Then solve. =)1 solutions Answer 7905 by elima(1433)   on 2005-10-19 18:27:50 (Show Source): You can put this solution on YOUR website!Why does the equation n + (n+1) + (n+2) = 84 Since you do not know what the integers are you will make the first integer =n; Now since they are consecutive, it means the next integer right after n, which would be n+1, ex. lets say 3 is our first integer, what is the next integer after 3? 4 What do you add to 3 to get 4? 3+1 The third integer would be? 3+2=5 So since you do not know the integers, you use a variable such as n. n = first integer n+1=second integer n+2= third integer Hope you understand =)
 Proportions/16218: Can you do 5/24=X/600 ??? I can't do it but I can do all other proportions....1 solutions Answer 7904 by elima(1433)   on 2005-10-19 18:16:52 (Show Source): You can put this solution on YOUR website!5/24=X/600 24x=5(600) 24x=3000 x= x=125 =)
 absolute-value/16227: Please help me solve this problem my whole entier class is having trouble with this lesson Thank you 3/4 (24 - 8b) = 2 (5b + 1)1 solutions Answer 7903 by elima(1433)   on 2005-10-19 18:00:53 (Show Source): You can put this solution on YOUR website!3/4 (24 - 8b) = 2 (5b + 1) First of all distribute on left side; b=b, simplify 18-6b Now the right side distribute: 2*5b+2*1=10b+2 But the equation together; 18-6b=10b+2 Subtract 18 from both sides, and subtract 10b from both sides; 18-6b-18-10b=10b+2-18-10b -16b=-16 Divide each side by -16 b=1 Hope the class understands; =)
 percentage/16165: how do u work out percentages?1 solutions Answer 7898 by elima(1433)   on 2005-10-19 16:20:54 (Show Source): You can put this solution on YOUR website!I'm not sure what you mean by "work out percentages" Do you mean change to decimal form, or fractions?Could you send an example of a problem? =)
 Graphs/16201: please can you answer ..... 3M x 4N thanks 1 solutions Answer 7897 by elima(1433)   on 2005-10-19 16:17:13 (Show Source): You can put this solution on YOUR website!3M x 4N=12MN =)
 Age_Word_Problems/16202: For the school play,Christi sold 5 tickets less than 3 times as many as Puge sold. Ace sold twice as many as Christi.Togrther the three students sold 65 tickets.How many did each one sell? This is what I got: Puge=x Christi=3x-5 Ace=2(3x-5)=65 x+3x-5+2(3x-5)=65 x+3x-5+6x-10=65 10x=65 10x/10=80/10 x=81 solutions Answer 7896 by elima(1433)   on 2005-10-19 16:15:26 (Show Source): You can put this solution on YOUR website!BRAVO!! YOU ARE RIGHT! =)
 expressions/16203: I'm confused. How do i simplify (16 + 3y) + y Is the answer 16 + 4y or 20y Thanks1 solutions Answer 7895 by elima(1433)   on 2005-10-19 16:11:40 (Show Source): You can put this solution on YOUR website!The answer would be; 16+4y You can not add these toogether because they are not like terms. =)
 absolute-value/16182: Is 5 the x-intercept or the y-intercept of the line y=3x+5? Explain 1 solutions Answer 7894 by elima(1433)   on 2005-10-19 16:09:47 (Show Source): You can put this solution on YOUR website!y-intercept