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# Recent problems solved by 'unlockmath'

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 Polynomials-and-rational-expressions/354002: how to Simplifying a ratio of polynomials like 3v^2-48/v^2-6v+81 solutions Answer 253042 by unlockmath(1599)   on 2010-10-09 20:47:27 (Show Source): You can put this solution on YOUR website!Hello, This 3v^2-48/v^2-6v+8 can be rewritten as: 3(v^2-16)/(v-2)(v-4) Now the numerator can be rewritten as: 3(v-4)(v+4)/(v-2)(v-4) Then we can cancel out to give us: 3(v+4)/(v-2) Make sense? RJ www.math-unlock.com
 Numbers_Word_Problems/353869: One number is 4 more than three times a smaller number. If twice the larger number is decreased by three times the smaller number, the result is 32.1 solutions Answer 252958 by unlockmath(1599)   on 2010-10-09 10:49:30 (Show Source): You can put this solution on YOUR website!Hello, Let's set up x being the smaller number and y will be the larger one. We can set up 2 equation as: y=3x+4 2y-3x=32 rewritten as: y-3x=4 2y-3x=32 Multiply the first equation by -2 to get: -2y+6x=-8 Add this to the second equation: 3x=24 Divide by 3 to get: x=8 Therefore y=28 Make sense? RJ www.math-unlock.com
 Linear-equations/353758: k(y+11)1 solutions Answer 252868 by unlockmath(1599)   on 2010-10-08 22:08:33 (Show Source): You can put this solution on YOUR website!Hello, A question is needed. If you want it expanded out, it will be: ky+11k RJ www.math-unlock.com
 Average/353730: While on a safari in Africa I saw a small herd of zebras and cranes wandering over the grassland. I counted 18 heads in all and counted 60 legs. How many zebras were there and how many cranes.1 solutions Answer 252867 by unlockmath(1599)   on 2010-10-08 22:05:15 (Show Source): You can put this solution on YOUR website!Hello, We can set up 2 equations. Let c represent cranes and z will be zebras. c+z=18 2c+4z=60 Multiply the first by -2 to get: -2c-2z=-36 Add this to the second equation to get: 2z=24 Divide by 2 to get: z=12 There we go. 12 zebras and 6 cranes. Make sense? RJ www.math-unlock.com
 Polynomials-and-rational-expressions/353751: Solve this problem: 13/17 = v/41 solutions Answer 252859 by unlockmath(1599)   on 2010-10-08 21:48:58 (Show Source): You can put this solution on YOUR website!Hello, First multiply each side by 4 to get: 13/17 = v/4 52/17=v Rewritten as: v=3 1/17 RJ www.math-unlock.com
 Expressions-with-variables/353251: Solve the formulas below for the indicated variable. Show your work. E/R+r =1, for R I really don't even understand what they mean here, I'd really appreciate some help! Thank you!1 solutions Answer 252414 by unlockmath(1599)   on 2010-10-07 15:27:35 (Show Source): You can put this solution on YOUR website!Hello, Basically all it's calling for is to get R by itself on one side of the =. E/R+r =1, for R First we multiply by R to get it out of the denominator. E+rR =1R Subtract E and R from both sides to get: (Note 1R is the same as R) rR-R=-E rewrite as: R(r-1)=-E Now Divide by r-1 to get: R=-E/(r-1) Make sense? RJ www.math-unlock.com
 expressions/353248: ((2-2x)-(1-x)(1+x)+2x(x+1) 1 solutions Answer 252410 by unlockmath(1599)   on 2010-10-07 15:18:36 (Show Source): You can put this solution on YOUR website!Hello, This ((2-2x)-(1-x)(1+x)+2x(x+1) can be expanded out to: 2-2x-1+x^2+2x^2+2x Combine like terms to get: 3x^2+1 Got it? RJ www.math-unlock.com
 Volume/352679: twice a number, added to 3, is equal to the negative of the number. What is the number?1 solutions Answer 252072 by unlockmath(1599)   on 2010-10-06 13:34:30 (Show Source): You can put this solution on YOUR website!Hello,, Let x be the number so we can set up the following equation: 2x+3=-x Subtract 3 and add x to both sides to get: 3x=-3 Divide by 3 to get: x=-1 Got it? RJ www.math-unlock.com
 Rectangles/352672: Find the perimeter of a square that has diagonals 6 feet long.1 solutions Answer 252070 by unlockmath(1599)   on 2010-10-06 13:32:10 (Show Source): You can put this solution on YOUR website!Hello, With this we can use the Pythagorus Formula to solve the sides. Let x be the sides of the square so our equation will be: x^2+x^2=6^2 Rewritten as: 2x^2=36 Divide by 2 to get: x^2=18 Sq rt both sides to get: x=sq rt 18 There we go. A side is sq rt 18 ft or approx 4.24 feet times 4 gives us a perimeter of 16.96 feet. Make sense? RJ www.math-unlock.com
 Miscellaneous_Word_Problems/352009: Two more than four times a numbers eight less than six times the number. Find the number.1 solutions Answer 251475 by unlockmath(1599)   on 2010-10-04 22:45:26 (Show Source): You can put this solution on YOUR website!Hello, I wonder if you copied the problem exactly? Anyway, I'm assuming there is an "is" after the word "number". If so the equation will look like this if we have x represent the number: 2+4x=6x-8 Subtract 4x and add 8 to both sides to get: 10=2x Divide by 2: x=5 Make sense? (Note: The word "is" in word problems usually stand for "=" equal signs.) RJ www.math-unlock.com
 Travel_Word_Problems/351741: Two ants race across a table 72 cm long. One travels at 4.23 cm/s and the other at 3.99999 cm/s. When the first one crosses the finish line, how far behind is the second one? Answer in units of cm.1 solutions Answer 251343 by unlockmath(1599)   on 2010-10-04 15:35:10 (Show Source): You can put this solution on YOUR website!Hello, Let's first find how long it takes for the first one to get to the finish lime. We divide 72 by 4.23 to get: 17.02 seconds (rounded off) Now multiply this by 3.99999 to get: 68.08 cm the second ant has traveled. So we subtract this from 72 cm to get: 3.92 cm behind the first ant. Close race. Make sense? RJ www.math-unlock.com
 Expressions-with-variables/351739: 2(x+1)-3x 1 solutions Answer 251341 by unlockmath(1599)   on 2010-10-04 15:24:48 (Show Source): You can put this solution on YOUR website!Hello, If you want this simplified 2(x+1)-3x the answer is: -x+2 Got it? RJ www.math-unlock.com
 Linear-equations/351735: check the solution algebraically.... 2x+y=13 5x-2y=11 solutions Answer 251340 by unlockmath(1599)   on 2010-10-04 15:21:28 (Show Source): You can put this solution on YOUR website!Hello, Multiply the first equation by 2: 2x+y=13 5x-2y=1 Which will give us: 4x+2y=26 Now add this to the second equation to get: 9x=27 Divide by 9: x=3 Now we can plug this to get y: y=7 Make sense? RJ www.math-unlock.com
 test/351131: What is your pricing1 solutions Answer 250985 by unlockmath(1599)   on 2010-10-03 11:12:01 (Show Source): You can put this solution on YOUR website!What is your question?
 Exponents/351153: x2yp5+2xy2p3+3p5x2y-7y2xp5 I know the solution is 4x2yp3-5xy2p5, but do not understand how you get the 41 solutions Answer 250983 by unlockmath(1599)   on 2010-10-03 11:08:36 (Show Source): You can put this solution on YOUR website!Hello, Are you sure you copied the problem correctly? Otherwise it doesn't make sense. RJ
 Rectangles/351137: This is a mathematics problem which one of my cousin asked me yesterday. He is in grade 4. However, I cannot help him because I am not good in maths. The width of a rectangle is 20 cm more than half the length. Its area is 4800 sq.cm. Find its width.1 solutions Answer 250977 by unlockmath(1599)   on 2010-10-03 10:54:14 (Show Source): You can put this solution on YOUR website!Hello, Well, this seems a bit advanced for a 4th grader. First we'll let x show one side and 1/2x+20 for the other side. Now we can set up an equation: x(1/2x+20)=4800 Expand this out to: 1/2x^2+20x=4800 Subtract 4800 from both sides to get: 1/2x^2+20x-4800=0 Multiply by 2 to get rid of the fraction: x^2+40x-9600=0 This can be factored as: (x-80)(x+120)=0 solve for x to get: x=80 x=-120 80 is the sensible answer, so the sides are 80 cm and 60 cm This can be checked by multiplying these to get 4800 sq cm Got it? RJ www.math-unlock.com
 test/351139: identify terms,like terms, coefficents, and constant terms x+5-3x-11 solutions Answer 250974 by unlockmath(1599)   on 2010-10-03 10:39:06 (Show Source): You can put this solution on YOUR website!Hello, Good problem so you can understand the words of Algebra. Terms are each one for example: x+5-3x-1 x is a term and 5 and -3x and -1 Like terms are: x and -3x 5 and -1 Coefficients are: -3 and actually there is a 1 in front of the x but these are usually not shown. Constant terms are: 5 and -1 (Hint: Understanding the words is the first step to pulling off good grades in any subject) Got it? RJ www.math-unlock.com
 Expressions-with-variables/350784: Please help solve step by step: (2x+5)^2 if x=6 and 5x^2-2y^2 if x=3 and y=61 solutions Answer 250761 by unlockmath(1599)   on 2010-10-02 00:40:10 (Show Source): You can put this solution on YOUR website!Hello, I'll help you with the first one, let's see if you can do the second problem. (2x+5)^2 if x=6 Rewritten as: (12+5)^2 Add in the parenthesis first: 17^2 This gives us: 289 Make sense? RJ www.math-unlock.com
 Numbers_Word_Problems/350664: At the city museum, child admission is \$5.40 and adult admission is \$8.90 . On Monday, twice as many adult tickets as child tickets were sold, for a total sales of \$626.40 . How many child tickets were sold that day? 1 solutions Answer 250639 by unlockmath(1599)   on 2010-10-01 14:27:52 (Show Source): You can put this solution on YOUR website!Hello, Let's have x be the number of children tickets and 2x will be the adults. Now we can set up the following equation: 5.4x+8.9(2x)=626.4 Expand this out: 5.4x+17.8x=626.4 Combine like terms: 23.2x=626.4 Divide both sides by 23.2 to get: x=27 There we go, 27 children tickets were sold. Make sense? RJ www.math-unlock.com
 Quadratic_Equations/350627: two facing pages product of page # 210 what are page numbers? 1 solutions Answer 250636 by unlockmath(1599)   on 2010-10-01 14:19:26 (Show Source): You can put this solution on YOUR website!Hello, Let x be one page and (x+1) be the next so we can set up the following equation: x(x+1)=210 Expand this: x^2+x=210 Subtract 210 from both sides to get: x^2+x-210=0 This can be factored as: (x+15)(x-14)=0 Solve for x: x=-15 x=14 14 is the sensible answer. So the pages are: 14 & 15 Make sense? RJ www.math-unlock.com
 Equations/349981: The difference of two numbers is 42. The larger number is three less than six times the smaller number. Find the numbers.1 solutions Answer 250140 by unlockmath(1599)   on 2010-09-29 22:47:40 (Show Source): You can put this solution on YOUR website!Hello, For this one we can set up 2 equations as: x-y=42 x=6y-3 Multiply the first equation by -1 to get: -x+y=-42 Add this to the second equation to get: -5y=-45 Divide by -5 to get: y=9 x=51 Make sense? RJ www.math-unlock.com
 test/349697: solve for h V = (1/3)(pi)(r^2)(h) 1 solutions Answer 249946 by unlockmath(1599)   on 2010-09-29 13:14:32 (Show Source): You can put this solution on YOUR website!Hello, For this one, V = (1/3)(pi)(r^2)(h) we divide both sides by (1/3)(pi)(r^2) to get: V/[(1/3)(pi)(r^2)]=h Got it? RJ wwwmath-unlock.com
 Numeric_Fractions/349693: How do you convert a decimals into a fractions???1 solutions Answer 249943 by unlockmath(1599)   on 2010-09-29 13:10:15 (Show Source): You can put this solution on YOUR website!Hello, Let's take an example. It might show you easier. Example: .23 How do you say this? 23 hundredths Right? The "hundredths" gives you a clue how to write the fraction; 23/100 Try another one. .7819 This is said as, 7,819 ten thousandths so the fraction is: 7819/10,000 Got it? RJ www.math-unlock.com
 Rectangles/349692: 2x+2(x-10)1 solutions Answer 249940 by unlockmath(1599)   on 2010-09-29 13:01:54 (Show Source): You can put this solution on YOUR website!Hello, I'm assuming you want this factored. 2x+2(x-10) Expand it out first to get: 2x+2x-20 Now combine like terms: 4x-20 Pull out a 4 to get: 4(x-5) Got it? RJ www.math-unlock.com
 Reduction-of-unit-multipliers/349684: What are these numbers in scientific notation 1. 3,670 2. 0.0004971 solutions Answer 249937 by unlockmath(1599)   on 2010-09-29 12:56:43 (Show Source): You can put this solution on YOUR website!Hello, I'll help you with the one, let's see if you can do the second one. 3,670. With this one set it up so the decimal point will be moved 3 places over to give us only a "ones" place value. 3.670 x 10^3 Make sense? RJ www.math-unlock.com
 Equations/349495: Identify the property or operation that is illustrated: 2*7=7*2 (a) Commutative property of addition (b) Associative property of addition (c) Distributive property of multiplication over addition (d) Commutative property of multiplication 1 solutions Answer 249785 by unlockmath(1599)   on 2010-09-28 22:10:36 (Show Source): You can put this solution on YOUR website!Hello, Answer d) RJ
 Linear_Equations_And_Systems_Word_Problems/349191: A man bought 7 pounds of coffee and 10 pounds of butter for a total of \$58.50 . A day later, the prices had not changed and he bought 7 pounds of coffee and 5 pounds of butter for \$39.75 . Find the price per pound of the butter. 1 solutions Answer 249631 by unlockmath(1599)   on 2010-09-28 13:31:36 (Show Source): You can put this solution on YOUR website!Hello, Let's have x be the cost for coffee and y be the cost for butter. We can set up 2 equations from this: 7x+10y=58.5 7x+5y=39.75 Multiply the second equation by -2 to get: -14x-10y= -79.5 Now add this to the first equation to get: -7x=-21 Now divide both sides by -7 to get: x=3 y=3.75 There we go--butter is \$3.75 per pound. Make sense? RJ www.math-unlock.com
 Miscellaneous_Word_Problems/348659: A construction has 152 bricks that are 1 foot long each and wants to enclose a rectangle. If the length is 50 feet more than the width, find the width and length of the rectangle. 1 solutions Answer 249257 by unlockmath(1599)   on 2010-09-27 11:53:43 (Show Source): You can put this solution on YOUR website!Hello, Let's have x represent the width. Now we can set up an equation as: 2x+2(x+50)=152 Following me? Now combine like terms and subtract 100 from both sides to get: 4x=52 Divide each side by 4 to get: x=13 So the width is 13 bricks and length is 63 bricks or feet. Make sense? RJ www.math-unlock.com
 Equations/348194: 1,126 = b divided by 131 solutions Answer 248967 by unlockmath(1599)   on 2010-09-26 13:27:01 (Show Source): You can put this solution on YOUR website!Hello, 1,126 = b divided by 13 This can be solved by multiplying both sides by 13 to get: b=14,638 Make sense? RJ www.math-unlock.com
 Equations/347766: solve for x: x+4/5+x-1/4=37/101 solutions Answer 248682 by unlockmath(1599)   on 2010-09-24 23:25:44 (Show Source): You can put this solution on YOUR website!Hello, Let's get rid of the fractions in this x+4/5+x-1/4=37/10 by multiplying it by 20: 20x+16+20x-5=74 Now combine like terms and subtract both sides by 11 to get: 40x=63 Divde both sides by 40: x=63/40 or 1 23/40 Got it? RJ www.math-unlock.com
 Quadratic_Equations/347788: Solve the quadratic equation: -2x^2 + 14x + 16 1 solutions Answer 248668 by unlockmath(1599)   on 2010-09-24 21:54:52 (Show Source): You can put this solution on YOUR website!Hello, With this -2x^2 + 14x + 16 we can set up the following: (2x+2)(-x+8) Make sense? RJ www.math-unlock.com