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# Recent problems solved by 'unlockmath'

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 Polynomials-and-rational-expressions/343976: one positive number is 3 larger than another number. The sum of their squares is 17. Find the numbers. 1 solutions Answer 246088 by unlockmath(1614)   on 2010-09-16 12:10:49 (Show Source): You can put this solution on YOUR website!Hello, Let x be one number and y be the other so we can set up 2 equation: x=y+3 x^2+y^2=17 Substitute the first into the second equation: (y+3)^2 +y^2=17 Rewrite this as: y^2+6y+9+y^2-17=0 Now combine like terms: 2y^2+6y-8=0 Factor this to get: (2y+8)(y-1)=0 Solve for y: y=1 y=-4 The only number that works here is: y=1 So x=4 Make sense? RJ www.math-unlock.com
 Polynomials-and-rational-expressions/343980: the lenght of a rectangular sheet of paper is 1 cm more than twice its width and the area of the rectangle is 105 sq. cm.. Find the length of the rectangle. 1 solutions Answer 246078 by unlockmath(1614)   on 2010-09-16 11:31:06 (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: x(2x+1)=105 Multiply this out to get: 2x^2+x=105 Subtract 105 from both sides to get: 2x^2+x-105=0 This can be factored to: (2x+15)(x-7)=0 Solve for x to get: x=7 x=-15/2 Obviously, only 7 works as the answer so the width is: 7 cm and length is 15 cm Make sense? RJ www.math-unlock.com
 test/343741: Solve for r I=P(1+rt)1 solutions Answer 245945 by unlockmath(1614)   on 2010-09-15 21:45:16 (Show Source): You can put this solution on YOUR website!Hello, Let's rewrite this. I=P(1+rt) as: I=P+rtP Now subtract P from both sides: I-P=rtP Then divide both sides by tP to get: (I-P)/tP=r Got it? RJ www.math-unlock.com
 Radicals/343767: y+1/3=21 solutions Answer 245941 by unlockmath(1614)   on 2010-09-15 21:35:43 (Show Source): You can put this solution on YOUR website!Hello, Equations with fractions, it's best to get rid of the fraction first. This one y+1/3=2 we can multiply by 3 to get: 3y+1=6 Now subtract 1 and divide by 3 to get: y=5/3 or 1 2/3 Make sense? RJ www.math-unlock.com
 real-numbers/343777: what type of number is -1/31 solutions Answer 245939 by unlockmath(1614)   on 2010-09-15 21:30:24 (Show Source): You can put this solution on YOUR website!Hello, It's a rational number. RJ www.math-unlock.com
 Trigonometry-basics/343323: 150 is what percent of 750? 1 solutions Answer 245651 by unlockmath(1614)   on 2010-09-15 00:27:46 (Show Source): You can put this solution on YOUR website!Hello, (Here's a hint that might help you out with these kind of problems. "is" means equal (=) "of" means multiply) OK, so let x represent the percentage and the equation is: 150=750x Divide both sides by 750 to get: x=.2 or in percentage it's 20% make sense? RJ www.math-unlock.com
 Polynomials-and-rational-expressions/342802: (x^5y^5/wz^6)^-31 solutions Answer 245350 by unlockmath(1614)   on 2010-09-14 00:47:53 (Show Source): You can put this solution on YOUR website!Hello, First let's get rid of the negative exponent by moving the parenthesis to the denominator. 1/(x^5y^5/wz^6)^3 Now this can be written as: 1/(xy^15/wz^18) Further this can be rewritten as: wz^18/xy^15 Make sense? RJ www.math-unlock.com
 Signed-numbers/342759: If the temp is decreasing 2 degrees each hour for 3 hours, what product of signed numbers represents the temp change? Use signed numbers. Thanks1 solutions Answer 245349 by unlockmath(1614)   on 2010-09-14 00:41:47 (Show Source): You can put this solution on YOUR website!Hello, The expression would look like this when x is the temperature. x-3(2) I'm not sure what you mean by "signed numbers." RJ www.math-unlock.com
 Numeric_Fractions/342795: 1/7=x-2/51 solutions Answer 245344 by unlockmath(1614)   on 2010-09-14 00:33:31 (Show Source): You can put this solution on YOUR website!Hello, Let's get rid of the fractions so it's easier work with. 1/7=x-2/5 Multiply by 35 and we get: 5=35x-14 Are you tracking me? Now add 14 to both sides to get: 19=35x Divide both sides by 35 to get: x=19/35 Got it? RJ www.math-unlock.com
 Linear_Equations_And_Systems_Word_Problems/342797: Your salary is \$1250 per week and you receive a 5% commission on your sales each week. What are the possible amounts (in dollars) that you can sell each week to earn at least \$1500 per week?1 solutions Answer 245341 by unlockmath(1614)   on 2010-09-14 00:29:27 (Show Source): You can put this solution on YOUR website!Hello, Let's have x be the amount of sales each week.Now we can set up this equation as: 1250 + .05x >= 1500 Subtract 1250 from both sides to get: .05x >= 250 Now divide both sides by .05 to result in: x >= 5000 So the possible amount of sales would be \$5000 or more to get at least \$1500. Make sense? RJ www.math-unlock.com
 Equations/342796: 2/3w=71 solutions Answer 245339 by unlockmath(1614)   on 2010-09-14 00:22:32 (Show Source): You can put this solution on YOUR website!Hello, A smart move with these kind of problems is to get rid of the fractions. In this case we can multiply both sides by 3 to get: 2w=21 Now divide both sides by 2 to get: w=21/2 or rewritten as 10 1/2 Got it? RJ www.math-unlock.com
 Angles/342798: One angle in a triangle is four times as great as a second angle. The third angle measures 5 degrees more than twice the second angle. Find the measures of the angles. 1 solutions Answer 245338 by unlockmath(1614)   on 2010-09-14 00:16:52 (Show Source): You can put this solution on YOUR website!Hello, We can let x represent the second angle. Also we know every triangle has 180 degrees so the equation will look like: x + 4x + (2x+5) = 180 Combine like terms and subtract 5 from both sides to get: 7x=175 Now divide both sides by 7 to result in: x=25 degrees for the second angle Other two angles are: 100 and 55 degrees. Make sense? RJ www.math-unlock.comn
 Complex_Numbers/342163: 4y+x-3x-6y1 solutions Answer 244879 by unlockmath(1614)   on 2010-09-12 19:54:02 (Show Source): You can put this solution on YOUR website!Hello, This {4y+x-3x-6y} can be rewritten as: -2y-2x or we can write this as: -2(y+x) RJ www.math-unlock.com
 Expressions-with-variables/342166: number of feet in m yards1 solutions Answer 244875 by unlockmath(1614)   on 2010-09-12 19:49:43 (Show Source): You can put this solution on YOUR website!Hello, This would be written as: 3m Make sense? RJ www.math-unlock.com
 Equations/341838: the second angle of a triangle is 5 times the measure of the first and the third angle is 4 less than twice the first. what is the measure of the second angle?1 solutions Answer 244744 by unlockmath(1614)   on 2010-09-11 23:09:34 (Show Source): You can put this solution on YOUR website!Hello, Let's have x represent the first angle. We know every triangle has 180 degrees so we can set up the following equation: x + (5x) + (2x-4) = 180 Combine like terms to get: 8x-4=180 Add 4 to both sides and divide by 8 to get: x=23 degrees The second angle is 115 degrees. Make sense? RJ www.math-unlock.com
 Equations/341483: 2 + 5w-7v/7w - 8w-v/3w Express as a single fraction in lowest terms1 solutions Answer 244583 by unlockmath(1614)   on 2010-09-10 20:12:01 (Show Source): You can put this solution on YOUR website!Hello, The first trick is to set all these {2 + 5w-7v/7w - 8w-v/3w} to fractions with the same denominator as follows: 42w/21w + 105w^2/21w - 21v/21w - 168w^2/21w - 7v/21w Now we can rewrite this as: (-63w^2 +42w-28v)/21w Rewritten as: 7(-9w^2+6w-4v)/21w This reduces to: (-9w^2+6w-4v)/3w Did you follow this? RJ www.math-unlock.com
 Inequalities/341529: Hello, I am having problems with my homework especially number 3 the question states: solve inequality 3(1+x)<2[3(x+2)-(x+1)]1 solutions Answer 244580 by unlockmath(1614)   on 2010-09-10 19:49:14 (Show Source): You can put this solution on YOUR website!Hello, Let's expand this out. 3(1+x)<2[3(x+2)-(x+1)] to look like: 3+3x<(6x+12)-(2x+2) Are you with me so far? OK, Now rewrite this as: 3+3x<4x+10 Now subtract 3x and 10 from both sides to get: x>-7 Make sense? RJ www.math-unlock.com
 Numeric_Fractions/338762: how many Olympic medals did the U.S. athletes win if U.S. had 14.34% of them in a a total of 252 Olympic medals?1 solutions Answer 242829 by unlockmath(1614)   on 2010-09-03 22:26:21 (Show Source): You can put this solution on YOUR website!Hello, Multiply 14.34% (252) It comes out to: 36.1368 So since this isn't an integer are you sure you copied the problem correctly? RJ www.math-unlock.com
 Rectangles/338462: the perimeter of a rectangle is 70 inches, and the length is 13 less than twice the width. write a system of 2 equation and solve to find the dimension.1 solutions Answer 242639 by unlockmath(1614)   on 2010-09-03 00:12:35 (Show Source): You can put this solution on YOUR website!Hello, Let's have x be one side (length) and y (width) be the other so now we can write 2 equations as: 2x+2y=70 x=2y-13 Are you with me? Now with the second equation subtract 2y from both sides to get: x-2y=-13 Now add this to the first to get: 3x=57 Divide by 3 to get: x=19 Plug 19 into the second equation and we get: y=16 So now we know the width is 16 inches and the length is 19 inches. Make sense? RJ www.math-unlock.com
 test/338492: Well i need help on algebra for solving equations , multipling . please help me . 1 solutions Answer 242637 by unlockmath(1614)   on 2010-09-03 00:03:44 (Show Source): You can put this solution on YOUR website!OK. Good Luck! RJ BTW You need to be specific or else the tutors can't help you
 Geometry_Word_Problems/338510: If a 5-cm piece of wire is cut into two parts so that one part is four times as long as the other, what is the length of the longer part?1 solutions Answer 242636 by unlockmath(1614)   on 2010-09-03 00:00:45 (Show Source): You can put this solution on YOUR website!Hello, Let's have x represent the shorter part. So now we can set up an equation as: x+4x=5 Combine terms and divide by 5 to get: x=1 There we go. The shorter is 1 cm and the other is 4 cm Make sense? RJ www.math-unlock.com
 Polynomials-and-rational-expressions/338517: z3 + 3z2 + 7z + 211 solutions Answer 242633 by unlockmath(1614)   on 2010-09-02 23:55:44 (Show Source): You can put this solution on YOUR website!Hello, You didn't say what you wanted done with this z3 + 3z2 + 7z + 21 but I'll assume you want it factored. Right? z3 + 3z2 + 7z + 21 First we can rewrite it as: z^2(z + 3) + 7(z + 3) Now we can rewrite it as: (z+3)(z^2+7) There we go. Make sense? RJ www.math-unlock.com
 Expressions-with-variables/338027: 3s(3)/11-5(t) when s equals 2 and t equals 51 solutions Answer 242370 by unlockmath(1614)   on 2010-09-02 01:04:30 (Show Source): You can put this solution on YOUR website!Hello, Let's plug in the values to 3s(3)/11-5(t) and it will look like this: 3(2)(3)/11-5(5) The top (numerator) is 18 and the denominator is -14 so we have: -18/14 reduced to -9/7 RJ www.math-unlock.com
 Square-cubic-other-roots/338053: What is the closet square root of 48?1 solutions Answer 242369 by unlockmath(1614)   on 2010-09-02 00:58:21 (Show Source): You can put this solution on YOUR website!Hello, I'll give you a hint. The square root of 49 is 7. Does that help? RJ www.math-unlock.com
 Numbers_Word_Problems/336640: what is the mathematical expression for six times a number added to -4 subtracted from twice the sum of three times the number and 41 solutions Answer 241296 by unlockmath(1614)   on 2010-08-30 12:10:23 (Show Source): You can put this solution on YOUR website!Hello, We'll let x represent the number. 6x+(-4)-2(3x+4) There we go. Make sense? RJ www.math-unlock.com
 Numbers_Word_Problems/336498: Vicky is thinking of a number. Twice the number increased by 1 is 5 less than 3 times the number. What is the number?1 solutions Answer 241200 by unlockmath(1614)   on 2010-08-29 23:37:09 (Show Source): You can put this solution on YOUR website!Hello, Let's have x be the number. 2x+1=3x-5 subtract 2x from both sides and add 5: x=6 There we go, she's thinking 3. Make sense? RJ www.math-unlock.com
 expressions/336520: find the value of expression 3{3^2+6(2+5)}1 solutions Answer 241199 by unlockmath(1614)   on 2010-08-29 23:23:52 (Show Source): You can put this solution on YOUR website!Hello, Do the parenthesis () first. 3{3^2+6(2+5)} so it will be: 3{3^2+6(7)} Now do the exponent: 3{9+6(7)} Now multiply 6(7) to get: 3{9+42} Do the bracket: 3(51) and now multiply and we get: 153 Make sense? RJ www.math-unlock.com
 test/336049: A 3' by 6' picnic table is placed on a outdoor patio measuring x' by x+3'. Find a polynomial for the remaining open space on the patio. How would I write this out?1 solutions Answer 241000 by unlockmath(1614)   on 2010-08-28 22:33:29 (Show Source): You can put this solution on YOUR website!Hello, First let's find the area of the patio. It will be: x(x+3) rewritten as: x^2+3x Now find the area of the picnic table. 3 times 6 is: 18 So we subtract 18 from x^2+3x to look like this: x^2+3x-18 OK there is the polynomial. Make sense? RJ www.math-unlock.com
 Miscellaneous_Word_Problems/335747: The length of a rectangular swimming pool is 2x-1 meters, and the width is x + 2 meters. Write a polynominal A(x) that represents the area. Find A(5).1 solutions Answer 240771 by unlockmath(1614)   on 2010-08-27 18:29:35 (Show Source): You can put this solution on YOUR website!Hello, The way it looks is: A(x)=(2x-1)(x+2) To find A(5), just plug in 5 into x and you'll find the answer. I'll let you do that. OK? RJ www.math-unlock.com
 Numbers_Word_Problems/334281: 198 is three quarters of what sum?1 solutions Answer 239523 by unlockmath(1614)   on 2010-08-23 19:39:54 (Show Source): You can put this solution on YOUR website!Hello, When we do these type of problems the words can be translated into algebraic symbols for example "is" means "=" "of" means multiply. Let's use x for the unknown. 198=3/4(x) Multiply both sides by 4/3 to get: 264=x There we go the answer is 264 Make sense? RJ www.math-unlock.com
 Inequalities/334292: Solve using the multiplication principle. -4x>1/111 solutions Answer 239515 by unlockmath(1614)   on 2010-08-23 19:33:39 (Show Source): You can put this solution on YOUR website!Hello, This one -4x>1/11 we can first multiply by 11 to get: -44x>1 Divide by -44 to get: x<-1/44 (Note: the inequality sign flips, "<" ) RJ www.math-unlock.com