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# Recent problems solved by 'Maths68'

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 test/574153: (7y-3)^3 = 343y^3- 201y^2+189y-27 is this correct?1 solutions Answer 368978 by Maths68(1474)   on 2012-02-16 22:18:08 (Show Source):
 test/574152: What's 8u2-9u+1?1 solutions Answer 368976 by Maths68(1474)   on 2012-02-16 22:09:28 (Show Source): You can put this solution on YOUR website!= = = =
 Age_Word_Problems/573560: When Billy turned 14 years old, his father was 42 years old, which is three times Billy’s age at the time. Today is Billy’s birthday, and Billy’s father is now twice as old as Billy. How old is Billy?1 solutions Answer 368825 by Maths68(1474)   on 2012-02-16 00:23:34 (Show Source): You can put this solution on YOUR website!Let age of Bill now = b age of Father now = f Billy’s father is now twice as old as Billy f=2b..............(1) Let x years ago Bill was b-x = 14..............(2) Father was f-x = 42..............(3) Put the value of f from (1) to (3) f-x = 42..............(3) 2b-x=42...............(4) Subtract (2) from (4) 2b-x=42...............(4) -b+x = -14..............(2) ----------- b=28 Put the value of b in (1) f=2b..............(1) f=2(28) f=56 age of Bill now = b = 28 years old age of Father now = f = 56 years old
 Age_Word_Problems/573592: hans is 3 years younger than his brother emil. in 8 years the sum of their ages will be 61. how old is hans plz i need this in 30 mins plz help me im stuck 1 solutions Answer 368822 by Maths68(1474)   on 2012-02-15 23:59:35 (Show Source): You can put this solution on YOUR website! Let Present age of Hans = h Present age of Emil = e Hans is 3 years younger than his brother Emil. h=e-3.................(1) In 8 years Hans will be = h+8 Emil will be = e+8 Then The sum of their ages will be 61 (h+8)+(e+8)=61 h+8+e+8=61 h+e+16=61 h+e=61-16 h+e=45..................(2) Put the value of h from (1) to (2) h+e=45..................(2) e-3+e=45 2e-3=45 2e=45+3 2e=48 2e/2=48/2 e=24 Put the value of e in (1) h=e-3.................(1) h=24-3 h=21 Present age of Hans = h = 21 years old Present age of Emil = e = 24 years old
 Inequalities/573556: 9% of what number is 27?1 solutions Answer 368804 by Maths68(1474)   on 2012-02-15 21:31:50 (Show Source): You can put this solution on YOUR website!Let 9% of x is 27 9%(x) = 27 9/100(x)=27 9x/100=27 9x=27*100 9x=2700 9x/9=2700/9 x=300 9% of 300 is 27
 Graphs/573502: what is the equation of the point (3,2) and has a slope of 2? 1 solutions Answer 368803 by Maths68(1474)   on 2012-02-15 21:27:46 (Show Source): You can put this solution on YOUR website!Given Point (x, y)=(3,2) Slope = m = 2 Equation of the line slope-intercept form y=mx+b Put the given values of point and slope in above equation in order to know the y-intercept 2=(2)(3)+b 2=6+b 2-6=b -4=b b=-4 y-intecept = b = -4 Again put the values of slope and y-intercept in the equation of the line slope-intercept form y=2x+(-4) y=2x-4 Above equation is required equation of the line.
 Radicals/572930: What is the answer to x+2x=3.751 solutions Answer 368582 by Maths68(1474)   on 2012-02-14 22:20:35 (Show Source): You can put this solution on YOUR website! Check ======= Put x=1.25
 Linear_Equations_And_Systems_Word_Problems/572852: The sum of 3 times a number and 4 times another number is 43. Five times the first number is 3 less than four times the opposite of the second number. Find the numbers. Choose one answer. a. -20 and 29 b. -23 and 28 c. 23 and -28 d. 20 and -291 solutions Answer 368580 by Maths68(1474)   on 2012-02-14 22:16:11 (Show Source): You can put this solution on YOUR website!Let 1st number = x 2nd number = y The sum of 3 times a number and 4 times another number is 43 3x+4y=43.................(1) Five times the first number is 3 less than four times the opposite of the second number 5x=4(-y)-3 5x=-4y-3 5x+4y=-3.................(2) Subtract (1) from (2) 5x+4y=-3 -3x-4y=-43 ------------------- 2x=-46 2x/2=-46/2 x=-23 Put the value of x in (1) 3x+4y=43 3(-23)+4y=43 -69+4y=43 4y=43+69 4y=112 4y/4=112/4 y=28 Numbers are -23 and 28
 Exponents/572646: Can you please answer this easy qustion: If there is a bracket which has EXAMPLE : (x-x)^2 is the brackets equal to (x-x)(x-x) OR (x-x)(x+x)1 solutions Answer 368470 by Maths68(1474)   on 2012-02-14 12:14:11 (Show Source): You can put this solution on YOUR website!(x-x)^2 = (x-x)(x-x)
 Word_Problems_With_Coins/572626: How many dollars do you have if you have 90 nickels, 16 dimes, 16 quarters, and 7 fifty-cent pieces?1 solutions Answer 368469 by Maths68(1474)   on 2012-02-14 12:11:13 (Show Source): You can put this solution on YOUR website!90 nickels = 5*90=450=450/100=\$4.5, 16 dimes=16*10=160=160/100=\$1.6 16 quarters = 25*16=400=400/100=\$4 7 fifty-cent pieces = 7*50=350=350/100=\$3.5 Total dollars = 4.5+1.6+4+3.5=\$13.6
 Linear-equations/572633: how do you slove 27p+8=-p+9? and what is p?1 solutions Answer 368465 by Maths68(1474)   on 2012-02-14 12:02:35 (Show Source): You can put this solution on YOUR website!27p+8=-p+9 27p+p=9-8 28p=1 28p/28=1/28 p=1/28
 Linear-equations/572634: find the slope of the line 2y=x+71 solutions Answer 368464 by Maths68(1474)   on 2012-02-14 11:55:27 (Show Source): You can put this solution on YOUR website!2y=x+7 2y/2=(x+7)/2 y=x/2+7/2 y=(1/2)x+7/2 Compare above equation with equation of the line y=mx+b slope = m = 1/2
 decimal-numbers/572636: 0.09% convert to decimal1 solutions Answer 368463 by Maths68(1474)   on 2012-02-14 11:49:43 (Show Source): You can put this solution on YOUR website!=0.09% =0.09/100 =9
 Age_Word_Problems/572622: The sum of 4 times mikes age and 3 times susan's age is 79. mike is 1 year more than 3 times as old as susan. find each of their ages.1 solutions Answer 368461 by Maths68(1474)   on 2012-02-14 11:47:59 (Show Source): You can put this solution on YOUR website!Let Present age of mike = m Present age of Susan = s Given ====== The sum of 4 times mikes age and 3 times susan's age is 79 4m+3s=79..............(1) Mike is 1 year more than 3 times as old as Susan m=3s+1................(2) put the value of m from (2) to (1) m=3s+1 4(3s+1)+3s=79 12s+4+3s=79 15s+4=79 15s=79-4 15s=75 15s/15=75/15 s=5 put the value of s in (2) m=3s+1................(2) m=3(5)+1 m=15+1 m=16 Present age of mike = m = 16 years old Present age of Susan = s = 5 years old
 Word_Problems_With_Coins/572527: julie's purse contains 32 coins consisting of nickels and quarters, worth a total of \$3.60. How many quarters does she have?1 solutions Answer 368439 by Maths68(1474)   on 2012-02-14 04:15:01 (Show Source): You can put this solution on YOUR website!Let Quarters=x Nickels=32-x Value of a Quarter = \$0.25 Value of a Nickle = \$0.05 Total value of all coins = \$3.6 (Value of a Quarter)(Quarters)+(Value of a Nickel)(Nickels)= Total value of all coins 0.25x+0.05(32-x)=3.6 0.25x+0.05(32-x)=3.6 0.25x+1.6-0.05x=3.6 0.25x-0.05x=3.6-1.6 0.2x=3.6-1.6 0.2x=2 0.2x/0.2=2/0.2 x=10 Quarters=x=10 Nickels=32-x=32-10=22 Check ========= 0.25(10)+0.05(22)=3.6 2.5+1.1=3.6 3.6=3.6
 Miscellaneous_Word_Problems/572498: How many liters of a 30% alcohol solution must be mixed with 20 liters of a 70% solution to get a 40% solution?1 solutions Answer 368427 by Maths68(1474)   on 2012-02-14 00:43:42 (Show Source): You can put this solution on YOUR website!Solution A Amount = x Concentration =30% =0.3 Solution B Amount = 20 Concentration =70% = 0.7 Resultant Solution Amount =20+x Concentration =40%=0.4 [Amount Solution A * Concentration A] + [Amount Solution B * Concentration of B] = Amount of Resultant * Concentration of resultant (x)(0.3)+(20)(0.7)= (20+x)(0.4) 0.3x+14=8+0.4x 0.3x-0.4x=8-14 -0.1x=-6 -0.1x/-0.1=-6/-0.1 x=60 Solution A Amount = x = 60 liters Concentration =30% =0.3 60 liters of a 30% alcohol solution must be mixed with 20 liters of a 70% solution to get a 40% solution?
 Problems-with-consecutive-odd-even-integers/572496: please help me solve the following: find three consecutive odd integers whose sum is equal to five more than two times the second largest number among the three integers. 1 solutions Answer 368426 by Maths68(1474)   on 2012-02-14 00:28:45 (Show Source): You can put this solution on YOUR website!Let Smaller number = x+1 Larger number = x+3 Largest number = x+5 x+1+x+3+x+5=2(x+3)+5 3x+9=2x+6+5 3x-2x+9=11 x=11-9 x=2 Smaller number = x+1 = 2+1 = 3 Larger number = x+3 = 2+3 = 5 Largest number = x+5 = 2+5 = 7 Three consecutive odd integers 3, 5, 7
 Human-and-algebraic-language/572468: Nine times a number is 12 more than 5 times a number1 solutions Answer 368406 by Maths68(1474)   on 2012-02-13 22:31:28 (Show Source): You can put this solution on YOUR website!Let x be the number 9x=5x+12 9x-5x=12 4x=12 4x/4=12/4 x=3 Number is 3
 Complex_Numbers/572462: Consider the following complex fraction: (2x^3/5y^3)/(x^3/y^2) Simplify completely the complex algebraic expression shown above. 1 solutions Answer 368404 by Maths68(1474)   on 2012-02-13 22:27:13 (Show Source): You can put this solution on YOUR website!= = = =
1 solutions

Answer 368395 by Maths68(1474)   on 2012-02-13 21:41:35 (Show Source):
You can put this solution on YOUR website!

 Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=729 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 0.333333333333333, -2.66666666666667. Here's your graph:

 Age_Word_Problems/571938: 4 years ago marion was 2/3 as old as Les was. Now she is 3/4 as old as he is. How old is each now1 solutions Answer 368246 by Maths68(1474)   on 2012-02-13 00:27:11 (Show Source): You can put this solution on YOUR website!4 years ago marion was 2/3 as old as Les was. Now she is 3/4 as old as he is. How old is each now Let Present age of Marion = m Present age of Les = l Marion is 3/4 as old as Les is m=(3/4)(l) m=3l/4.................................(1) 4 years ago Marion was = m-4 Les was = l-4 Then (m-4)=2/3(l-4) 3(m-4)=2(l-4) 3m-12=2l-8 3m=2l-8+12 3m=2l+4................................(2) Put the value of m from (1) to (2) 3m=2l+4 3(3l/4)=2l+4 9l/4=2l+4 9l=4(2l+4) 9l=8l+16 9l-8l=16 l=16 Put the value of l in (1) m=3l/4.................................(1) m=(3)(16)/4 m=(3)(4) m=12 Present age of Marion = m = 12 years old Present age of Les = l = 16 years old
 test/571959: Five times a number and seven is the same as three times the number and eleven. Find the number. 1 solutions Answer 368245 by Maths68(1474)   on 2012-02-13 00:14:10 (Show Source): You can put this solution on YOUR website!Let x be the number Five times of x = 5x Three times of x = 3x 5x+7=3x+11 5x-3x=11-7 2x=4 2x/2=4/2 x=2 Number is 2 Check ===== 5x+7=3x+11 5(2)+7=3(2)+11 10+7=6+11 17=17
 Equations/571877: 2+9/x=5/x^21 solutions Answer 368239 by Maths68(1474)   on 2012-02-12 22:28:57 (Show Source): You can put this solution on YOUR website! or or or
 test/571900: If x - 3, then x2 - 2x + 1= ?1 solutions Answer 368237 by Maths68(1474)   on 2012-02-12 22:20:37 (Show Source): You can put this solution on YOUR website!= Put = = =
 Graphs/571921: Please help me solve this. I need it asap. Thanks 1. Find the y-intercept and the x-intercept for the equation. -10x+y=14 What is the y-intercept? What is the x-intercept?1 solutions Answer 368234 by Maths68(1474)   on 2012-02-12 22:10:30 (Show Source): You can put this solution on YOUR website!-10x+y=14 When y intercepts x=0 -10(0)+y=14 y=14 y intercept = 14 -10x+y=14 When x intercepts y=0 -10x+0=14 -10x=14 -10x/-10=14/-10 x=-7/5 x intercept = -7/5
 test/571913: Simplifying equations....(5k+16)-(2k+7). Does the seven become negative when simplifying?1 solutions Answer 368232 by Maths68(1474)   on 2012-02-12 22:02:53 (Show Source): You can put this solution on YOUR website!= = = = =
 Percentage-and-ratio-word-problems/571902: 3x - 9y = 45 -4x +12y = 20 incosistent or consistent1 solutions Answer 368226 by Maths68(1474)   on 2012-02-12 21:47:47 (Show Source): You can put this solution on YOUR website!...........(1) ...........(2) Pair of equations is inconsistent
 Equations/571879: 1-3/x=10/x^21 solutions Answer 368222 by Maths68(1474)   on 2012-02-12 21:36:06 (Show Source): You can put this solution on YOUR website! or or
 Equations/571880: 1/x+6/x+4=11 solutions Answer 368217 by Maths68(1474)   on 2012-02-12 21:21:19 (Show Source):
 Equations/571881: 5/z-4/z+2=1/61 solutions Answer 368215 by Maths68(1474)   on 2012-02-12 21:16:21 (Show Source):
 Linear-equations/571885: Hello. Please help me with this asap. Find the slope, if it exist. y= -4x+8 m=1 solutions Answer 368209 by Maths68(1474)   on 2012-02-12 21:09:22 (Show Source): You can put this solution on YOUR website!y= -4x+8 Compare above equation with the standard equation of the line y=mx+b Slope = m=-4