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# Recent problems solved by 'unlockmath'

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 absolute-value/650025: please help me solve this equation 1/4|2-x/3|= 41 solutions Answer 407137 by unlockmath(1614)   on 2012-09-11 23:35:00 (Show Source): You can put this solution on YOUR website!Hello, First multiply by 4 to get: |2-x/3|= 16 Now we make two equations from this: 2-x/3= 16 and 2-x/3= -16 Multiply each by 3: 6-x=48 and 6-x=-48 Solve for x: x=-42 and x=54 Make sense? RJ www.math-unlock.com
 Linear_Equations_And_Systems_Word_Problems/649317: A man is 42 years old and his son is 12. In how many years will the father be twice as old as his son.1 solutions Answer 406914 by unlockmath(1614)   on 2012-09-10 22:59:23 (Show Source): You can put this solution on YOUR website!Hello, We can set up an equation where x represents the years. 42+x=(12+x)2 Expand: 42+x=24+2x Subtract x and 24: x=18 years Make sense? RJ www.math-unlock.com
 Linear-equations/648251: Solve for x: 4 + (16/3-x)=121 solutions Answer 406603 by unlockmath(1614)   on 2012-09-09 14:45:54 (Show Source): You can put this solution on YOUR website!Hello, For this 4 + (16/3-x)=12 we need to multiply by 3-x to get: 4(3-x) + 16=12(3-x) Expand this out: 12-4x+16=36-12x Add 12x and subtract 28: 8x=8 x=1 Make sense? RJ www.math-unlock.com
 Linear-equations/647766: Could you please help me find the slope and Y intercept of the line 3x-4y=-24 Thank you for your time and help1 solutions Answer 406364 by unlockmath(1614)   on 2012-09-08 14:52:53 (Show Source): You can put this solution on YOUR website!Hello, Let's get the equation (3x-4y=-24) into this form: y=mx+b (Note: the b in this equation tells us where the line crosses the y axis and m tells us the slope.) 3x-4y=-24 Subtract 3x and divide by -4 to get: y=3/4x+6 So now we know the slope is 3/4 and crosses the y axis at 6. Make sense? RJ www.math-unlock.com
 Percentage-and-ratio-word-problems/647418: Esther bought three shirts for a total of \$32 and 3 equally priced pairs of pants. She spent a total of \$95, not including tax. Find the price of each pair of pants.1 solutions Answer 406181 by unlockmath(1614)   on 2012-09-07 14:42:57 (Show Source): You can put this solution on YOUR website!Hello, Let's first subtract \$32 from the total to give us \$63. Now we can divide 3 into that to result in: Each pants is \$21 Make sense? RJ www.math-unlock.com
 Numeric_Fractions/646299: 1 2/3 divided by 3/5 i cant figure out how to solve it step by step1 solutions Answer 405818 by unlockmath(1614)   on 2012-09-05 17:10:11 (Show Source): You can put this solution on YOUR website!Hello, Let's write it this way: 5/3 divided by 3/5 We flip the second fraction and multiply: 5/3*5/3=25/9 Make sense? RJ www.math-unlock.com
 Graphs/646135: How do I solve -5/9x+2/9<-43/5?1 solutions Answer 405738 by unlockmath(1614)   on 2012-09-05 12:52:14 (Show Source): You can put this solution on YOUR website!Hello, With this, -5/9x+2/9<-43/5 we want to multiply by 45x to get: -25+10x<-387x Subtract 10x: -25<-397x Divide by -397 to get: x<25/397 Make sense? RJ www.math-unlock.com
 Pythagorean-theorem/645991: The area of a square is 169 square units.Find the length of its sides.1 solutions Answer 405679 by unlockmath(1614)   on 2012-09-04 23:19:08 (Show Source): You can put this solution on YOUR website!Hello, Let x represent the side of a square: x^2=169 Square root both sides: x=13 So each side is 13 units long. Make sense? RJ www.math-unlock.com
 test/645617: One fifth of a number plus one seventh of the same number is 108= What is the number? How do I do this? .Thank you for helping1 solutions Answer 405561 by unlockmath(1614)   on 2012-09-04 16:47:29 (Show Source): You can put this solution on YOUR website!Hello, Let x represent the number: 1/5x+1/7x=108 Multiply by 35: 7x+5x=3780 Combine like terms and divide by 12: x=315 Make sense? RJ www.math-unlock.com
 Triangles/645282: Sharks' teeth are shaped like triangles. the height of a tooth of a certain shark is 1 cm longer than the base. the area is 36cm^2. find the height and the base.1 solutions Answer 405417 by unlockmath(1614)   on 2012-09-03 22:33:13 (Show Source): You can put this solution on YOUR website!Hello, Area of a Triangle is equal to (1/2)base*height so let's plug in what we know: (note: represent base as x) 36=(1/2)(x)(x+1) Expand: 36=1/2x^2+1/2x Multiply by 2 and subtract 72: x^2+x-72=0 Factor this: (x-8)(x+9)=0 x=8 x=-0 So the base is 8 cm and height is 9 cm Make sense? RJ www.math-unlock.com
 Linear-systems/644307: how do you solve 1-5 using the substitution method. 1. 4x+3y=11 x=3y-1 2. 2x+3y=5 x=4-2y 3. 3x-2y=11 y=5-2x 4. x+y=-5 4x-2y=10 5. y=2x-1 y=2-x1 solutions Answer 404948 by unlockmath(1614)   on 2012-09-01 17:02:52 (Show Source): You can put this solution on YOUR website!Hello, I'll do the first one, let's see if you can do the rest of them. 4x+3y=11 x=3y-1 Substitute the second equation into the first like this: 4(3y-1)+3y=11 Expand: 12y-4+3y=11 Add 4 and combine: 15y=15 Divide by 15: y=1 Plug this into either equation to find x: x=2 Make sense? RJ www.math-unlock.com
 Linear-equations/644211: Find an equation of the line satisfying the given conditions: 10. (a)The slope is -2 and through the point (-4,3); (b)through the two points (3,1) and (-5,4)1 solutions Answer 404898 by unlockmath(1614)   on 2012-09-01 10:58:25 (Show Source): You can put this solution on YOUR website!Hello, We know this: y=mx+b Plug in the values: 3=-2(-4)+b Solve: b=-5 Now we know: y=-2x-5 I'll let you solve the other two. RJ www.math-unlock.com
 Trigonometry-basics/644219: If the diagonals of a rectangle are represented by (2x2 – 8x + 17 )m and ( x2 + 2x – 7 )m, find the value of x. How long is each diagonal?1 solutions Answer 404897 by unlockmath(1614)   on 2012-09-01 10:52:45 (Show Source): You can put this solution on YOUR website!Hello, Since we know the diagonals are equal in a rectangle we can set up this: 2x^2 – 8x + 17 = x^2 + 2x – 7 Subtract x^2, 2x and add 7: x^2 -10x +24 =0 Factor: (x-6)(x-4)=0 Solve for x: x=6 x=4 We have two possible answers: 6 & 4 Make sense? RJ www.math-unlock.com
 Travel_Word_Problems/644050: mall is 60 miles away,and i'm driving 40 mph the whole way, how long will it take me?1 solutions Answer 404814 by unlockmath(1614)   on 2012-08-31 19:43:26 (Show Source): You can put this solution on YOUR website!Hello, If you go 40 miles in one hour and 20 miles in half an hour , it will take 1.5 hours. Make sense? RJ www.math-unlock.com
 Functions/644109: what is the domain of: (x-3)/square root of (x-1)1 solutions Answer 404812 by unlockmath(1614)   on 2012-08-31 19:39:13 (Show Source): You can put this solution on YOUR website!Hello, Domain of x {x is all real numbers greater than 1} RJ www.math-unlock.com
 Exponents/643050: what is the exponet of 2251 solutions Answer 404316 by unlockmath(1614)   on 2012-08-29 16:45:14 (Show Source): You can put this solution on YOUR website!Hello, Something doesn't make sense here. Reread the problem and rewrite it. RJ
 Human-and-algebraic-language/643024: what is 2 less than 3 times a number is equal to 7?1 solutions Answer 404304 by unlockmath(1614)   on 2012-08-29 15:42:30 (Show Source): You can put this solution on YOUR website!Hello, Let n represent the number. Here's the equation: 3n-2=7 Add 2 and divide by 3 to get: n=3 Make sense? RJ www.math-unlock.com
 Geometry_proofs/643021: Name two different ways to continue this patter. 1,1,21 solutions Answer 404303 by unlockmath(1614)   on 2012-08-29 15:39:49 (Show Source): You can put this solution on YOUR website!Hello, 1,1,2,3,5,8,13.... There's one way--can you do another one? RJ www.math-unlock.com
 Rectangles/642220: i have a square that is 34 inches what is the diagnal ?? thank you1 solutions Answer 404013 by unlockmath(1614)   on 2012-08-28 10:45:59 (Show Source): You can put this solution on YOUR website!Hello, Use this formula: C^2=A^2+B^2 C is the diagonal C^2=34^2+34^2 C^2=2312 Square root both sides: Diagonal is 48.08 inches (rounded off) Make sense? RJ www.math-unlock.com
 Miscellaneous_Word_Problems/642135: Hi, What is the largest four-digit number?1 solutions Answer 403965 by unlockmath(1614)   on 2012-08-27 22:59:37 (Show Source): You can put this solution on YOUR website!How about 9,999
 Polynomials-and-rational-expressions/641896: Please help me solve this equation (x^2 - 4) divided by (x - 1)1 solutions Answer 403883 by unlockmath(1614)   on 2012-08-27 17:46:07 (Show Source): You can put this solution on YOUR website!Hello, This (x^2 - 4) divided by (x - 1)can be rewritten as: (x^2 +0x - 4)/(x-1) Do the long division and we get: x+1 remainder -5/(x-1) Make sense? RJ www.math-unlock.com
 test/641894: X^2+x^2+x1 solutions Answer 403882 by unlockmath(1614)   on 2012-08-27 17:41:46 (Show Source): You can put this solution on YOUR website!Hello, No instructions what is needed? It could be rewritten as: 2x^2+x or x(2x+1) RJ www.math-unlock.com
 test/641890: i need help with wrighting each fraction as a decimal1 solutions Answer 403879 by unlockmath(1614)   on 2012-08-27 17:37:09 (Show Source): You can put this solution on YOUR website!Hello, Here's a big hint: The line (Called the Fraction bar) has a meaning. Actually there are 6 meanings which math books to not cover with students. The meaning you want is: "Divided by" So an example is 1/2 1 divided by 2 is .5 Make sense? RJ www.math-unlock.com
 Signed-numbers/641632: Insert parentheses to makes each statement true. 1. 90÷5+4×2-1=19 2. 90÷5+4×2-1=221 solutions Answer 403735 by unlockmath(1614)   on 2012-08-26 23:27:14 (Show Source): You can put this solution on YOUR website!Hello, I'll do the first one, and let's see if you can do the second one. Deal? 1. {[90÷(5+4)]×2}-1=19 Do the parenthesis first then the bracket and finally the braces. make sense? RJ www.math-unlock.com
 Linear-equations/641593: What is the equation of a line that is parallel to the line y=5x-6 and passes through the point (-2,3)?1 solutions Answer 403733 by unlockmath(1614)   on 2012-08-26 23:20:24 (Show Source): You can put this solution on YOUR website!Hello, Since we know the slope is 5 for the parallel line then plug in (-2,3): 3=5(-2)+b Solve for b: b=13 Therefore the parallel line is: y=5x+13 Make sense? RJ www.math-unlock.com
 Circles/641307: In a circle, the radius= (x+2) cm. Find the area of the circle in terms of x.1 solutions Answer 403598 by unlockmath(1614)   on 2012-08-26 11:35:06 (Show Source): You can put this solution on YOUR website!Hello, Area of a circle is A=pi(radius)^2 Plug in what is given: A=pi(x+2)^2 We could expand this out to: A=pi(x^2+4x+4) Make sense? RJ www.math-unlock.com
 Square-cubic-other-roots/641185: Solve for x and show all work Square root of x-8=3 I tried to use the solver but didn't know how to enter sq. root symbol. Thanks1 solutions Answer 403570 by unlockmath(1614)   on 2012-08-25 23:12:51 (Show Source): You can put this solution on YOUR website!Hello, Let's square both sides to give us: x-8=3^2 Add 8 x=17 Make sense? RJ www.math-unlock.com
 Length-and-distance/640995: If a picnic area is loacted at the midpoint between Sacramento and Oakland, find the distance to the picnic area from the road sign. (There is a road sign picture next to the problem but I'm not sure if it's relevant but it says: Roaseville 5, Sacramento 23, Oakland 110)1 solutions Answer 403508 by unlockmath(1614)   on 2012-08-25 11:04:05 (Show Source): You can put this solution on YOUR website!Hello, From the info given, it appears the traveler is 23 miles from Sac and 110 miles from Oakland going one way. If so, first subtract 23 from 110 to give us: 87 miles between Oak and Sac Now divide this by 2: 43.5 miles is the distance midway between the two cities. Make sense? RJ www.math-unlock.com
 Angles/640671: Please help me solve for n on this equation; (7n-9)+(5n+45)=1801 solutions Answer 403363 by unlockmath(1614)   on 2012-08-23 22:34:42 (Show Source): You can put this solution on YOUR website!Hello, First combine like terms: 12n+36=180 Subtract 36 and divide by 12 n=12 Make sense? RJ www.math-unlock.com
 expressions/640420: How do you simplify this expression? -12\3•(-8+(-4)2nd power)+21 solutions Answer 403181 by unlockmath(1614)   on 2012-08-23 13:34:51 (Show Source): You can put this solution on YOUR website!Hello, Let's rewrite this as: -12\3•(-8+(-4)^2)+2 First we handle the exponent: -12\3•(-8+16)+2 Now handle the parenthesis: -12\3•(8)+2 Now multiply: -32+2 Answer: -30 Make sense? RJ www.math-unlock.com
 test/640287: Mr. And mrs. Wolfe both make 12\$ an hour at work. One week mrs. Wolfe worked four hours more than her husband. Their combined pay for the week was 912\$. How many hours did each work? 1 solutions Answer 403110 by unlockmath(1614)   on 2012-08-22 23:27:36 (Show Source): You can put this solution on YOUR website!Hello, Let's set up an equation as: Let x represent the hours. 12x+12x+4(12)=912 Combine like terms and subtract 4: 24x=908 Divide by 24: x=36 hours rewritten as: 36 for Mr Wolfe 40 hours for Mrs. Wolfe Make sense? RJ www.math-unlock.com