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# Recent problems solved by 'jim_thompson5910'

 Money_Word_Problems/216424: Jim is able to sell a hand-craved statue for $670 which was a 35% profit over his cost. How much did the statue originally cost him? I know it was a 135% make up thats like 670x 135 or 670/1.35 or something but I need to know how to work out the formula. I need to know how to set it up. Thank you 1 solutions Answer 163412 by jim_thompson5910(28595) on 2009-09-23 23:28:49 (Show Source): You can put this solution on YOUR website!Check out this previous solution.  Graphs/216425: hi, i need to graph f(x) = 1/3x +2 i need simple simple simple step by step instructions as I'm just now getting back into math after not doing any for 10 years... thanks!1 solutions Answer 163411 by jim_thompson5910(28595) on 2009-09-23 23:26:20 (Show Source): You can put this solution on YOUR website! Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is 1 and the run is 3. This means that to go from point to point, we can go up 1 and over 3 So starting at , go up 1 unit and to the right 3 units to get to the next point Now draw a line through these points to graph So this is the graph of through the points and  Equations/216230: 6k-25=7-2k1 solutions Answer 163299 by jim_thompson5910(28595) on 2009-09-23 18:44:30 (Show Source): You can put this solution on YOUR website! Start with the given equation. Add to both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is  Numeric_Fractions/216218: need help understandin fraction of a dollar. 6 dimes is what fraction of a dollar?1 solutions Answer 163294 by jim_thompson5910(28595) on 2009-09-23 18:32:48 (Show Source): You can put this solution on YOUR website!First, determine how many dimes make a dollar. It turns out that 10 dimes make a dollar (since 10*10 cents = 100 cents) So the fraction is which reduces to Another way to look at this is to think: 6 dimes makes 60 cents while a whole dollar is 100 cents. So the fraction is which will reduce to and then finally reduce to  Functions/216206: My coordinates are typed into the program window on my ti83, but there are some problems with the resulting picture such as lines not connecting, and some lines are longer and shorter than they need to be. I have checked my coordinates and my algebra many times, but nothing has changed, and everything looks correct on paper. Is there something wrong with my math that I have not yet seen or is it something wrong with my calculator?1 solutions Answer 163274 by jim_thompson5910(28595) on 2009-09-23 18:12:44 (Show Source): You can put this solution on YOUR website!It's hard to say as I can't see the problem or calculator. Could it be that you have the wrong viewing window? Could it be that you typed in the problem wrong (eg you might put parenthesis in the wrong spots)?  Expressions-with-variables/216207: 2(5a)1 solutions Answer 163273 by jim_thompson5910(28595) on 2009-09-23 18:10:32 (Show Source): Polynomials-and-rational-expressions/216205: in class we are factoring trinomials. 7a^3b-35a^2b^2+42ab^3 1 solutions Answer 163272 by jim_thompson5910(28595) on 2009-09-23 18:10:10 (Show Source): You can put this solution on YOUR website! Start with the given expression. Factor out the GCF . Now let's try to factor the inner expression --------------------------------------------------------------- Looking at the expression , we can see that the first coefficient is , the second coefficient is , and the last coefficient is . Now multiply the first coefficient by the last coefficient to get . Now the question is: what two whole numbers multiply to (the previous product) and add to the second coefficient ? To find these two numbers, we need to list all of the factors of (the previous product). Factors of : 1,2,3,6 -1,-2,-3,-6 Note: list the negative of each factor. This will allow us to find all possible combinations. These factors pair up and multiply to . 1*6 = 6 2*3 = 6 (-1)*(-6) = 6 (-2)*(-3) = 6 Now let's add up each pair of factors to see if one pair adds to the middle coefficient : First NumberSecond NumberSum 161+6=7 232+3=5 -1-6-1+(-6)=-7 -2-3-2+(-3)=-5 From the table, we can see that the two numbers and add to (the middle coefficient). So the two numbers and both multiply to and add to Now replace the middle term with . Remember, and add to . So this shows us that . Replace the second term with . Group the terms into two pairs. Factor out the GCF from the first group. Factor out the GCF from the second group. Combine like terms. So this means that factors to ------------------------------------------------------------------ So factors to ====================================================== Answer: So completely factors to  Linear-equations/216202: If(x)=5x square 2 -2x f(-3)1 solutions Answer 163270 by jim_thompson5910(28595) on 2009-09-23 18:06:59 (Show Source): You can put this solution on YOUR website! Start with the given equation. Plug in . Square to get . Multiply and to get . Multiply and to get . Combine like terms.  Functions/216194: How do you solve this function problem? h(f(g(1/2))) Let f(x)= square root of x let g(x)=6x-3 let h(x)=x/31 solutions Answer 163269 by jim_thompson5910(28595) on 2009-09-23 18:05:52 (Show Source): You can put this solution on YOUR website!Here's the basic idea: Step 1) Plug in into . The result/output will be a number Step 2) Take the result of step 1 and plug that number into 'x' of . You will once again get a number as a result. Step 3) Take the answer from step 2 and plug it into . The result that you get here will be the answer (provided there are no errors).  Angles/216198: The measure of the supplement of an angle is 30 less than four times the measure of the complement of the angle. Find the measure of the angle. this is what i did... 4(x-180)-30=180 4x-720-30=180 4x=930? HELP test tomorrow!1 solutions Answer 163268 by jim_thompson5910(28595) on 2009-09-23 18:03:04 (Show Source): You can put this solution on YOUR website!Note: if 'x' is the given angle, then is the complement and is the supplement. So the equation should be Start with the given equation. Distribute. Combine like terms on the left side. Subtract from both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is which means that the angle is 50 degrees.  Geometry_Word_Problems/215639: Please help me solve this. I do not even know where to start!! :( The area of a triangle is 96 sq. inches. Its altitude is 2 inches greater than five times its base. Find the altitude. 1 solutions Answer 162918 by jim_thompson5910(28595) on 2009-09-22 14:10:17 (Show Source): You can put this solution on YOUR website!Note: The altitude is another way of saying height. Let A = area b = base h = height Since "The area of a triangle is 96 sq. inches", this means Also, because "Its altitude is 2 inches greater than five times its base" we know that Finally, recall that the area of a triangle is So use these three equations to find the base 'b' and the height/altitude 'h'. Let me know if this helps.  Trigonometry-basics/215364: sec^-1(0) is equal to1 solutions Answer 162720 by jim_thompson5910(28595) on 2009-09-21 16:35:18 (Show Source): You can put this solution on YOUR website!This value is undefined. Let . Now take the secant of both sides to get Now use the identity to rewrite the equation above to get So the question is: what are the solutions to ? The answer is there are none. This implies that is undefined.  Distributive-associative-commutative-properties/215353: this is a vocabulary definition i haved looked every where for it so here it is The process of finding a value for a variables that results in a true sentence is called solving the .1 solutions Answer 162715 by jim_thompson5910(28595) on 2009-09-21 16:22:34 (Show Source): You can put this solution on YOUR website!The process of finding a value for a variables that results in a true sentence is called solving the open sentence.  Distributive-associative-commutative-properties/215357: this is a vocabulary definition i haved looked every where for it so here it is BLANK are terms that contain the same variables, with corresponding variables having the same power.1 solutions Answer 162712 by jim_thompson5910(28595) on 2009-09-21 16:20:29 (Show Source): You can put this solution on YOUR website!Like terms are terms that contain the same variables, with corresponding variables having the same power.  Equations/215363: 10k-9=9k+101 solutions Answer 162711 by jim_thompson5910(28595) on 2009-09-21 16:19:12 (Show Source): You can put this solution on YOUR website! Start with the given equation. Add to both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. ---------------------------------------------------------------------- Answer: So the answer is  Linear-equations/215352: how do i write an equation in slope-intercept form for the line that satisfies each set of conditions Example The slope -2/3, passes through (6,-8)1 solutions Answer 162710 by jim_thompson5910(28595) on 2009-09-21 16:18:05 (Show Source): You can put this solution on YOUR website! If you want to find the equation of line with a given a slope of which goes through the point (,), you can simply use the point-slope formula to find the equation: ---Point-Slope Formula--- where is the slope, and is the given point So lets use the Point-Slope Formula to find the equation of the line Plug in , , and (these values are given) Rewrite as Distribute Multiply and to get Subtract 8 from both sides to isolate y Combine like terms and to get ------------------------------------------------------------------------------------------------------------ Answer: So the equation of the line with a slope of which goes through the point (,) is: which is now in form where the slope is and the y-intercept is Notice if we graph the equation and plot the point (,), we get (note: if you need help with graphing, check out this solver) Graph of through the point (,) and we can see that the point lies on the line. Since we know the equation has a slope of and goes through the point (,), this verifies our answer.  Distributive-associative-commutative-properties/215347: Using the Distributive Property to find 9(5 2/3)would give which expression? thats the best way that i can type this equation!1 solutions Answer 162709 by jim_thompson5910(28595) on 2009-09-21 16:16:12 (Show Source): You can put this solution on YOUR website!Is the expression ??? If so, then.... Start with the given expression Distribute Multiply Reduce Add So -------------------------------------------------------- OR... Is the expression ??? If so, then.... Start with the given expression Distribute Multiply Reduce Subtract So  Expressions-with-variables/215361: how to translate to algebraic expression - twice y1 solutions Answer 162708 by jim_thompson5910(28595) on 2009-09-21 16:12:26 (Show Source): You can put this solution on YOUR website!"twice y" simply means "2 times y" which translates to  Distributive-associative-commutative-properties/215360: this is a vocabulary definition i haved looked every where for it so here it is In a BLANK, there is exactly one output for each input.1 solutions Answer 162707 by jim_thompson5910(28595) on 2009-09-21 16:09:21 (Show Source): You can put this solution on YOUR website!In a function, there is exactly one output for each input. Put another way, if each input only produces one output, then it's a function.  Quadratic_Equations/215290: This question is from textbook Higher GCSE Mathematics for Edexcel please can you explain how to find the solution to the quadratic equation with brackets in x(2x+5)=101 solutions Answer 162675 by jim_thompson5910(28595) on 2009-09-21 13:57:28 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute Subtract 10 from both sides. Notice we have a quadratic equation in the form of where , , and Let's use the quadratic formula to solve for x Start with the quadratic formula Plug in , , and Square to get . Multiply to get Rewrite as Add to to get Multiply and to get . or Break up the expression. So the answers are or which approximate to or  Numeric_Fractions/215134: This question is from textbook 1 solutions Answer 162557 by jim_thompson5910(28595) on 2009-09-20 19:35:11 (Show Source): You can put this solution on YOUR website!You need to post the entire problem with full instructions. We don't have your book.  Graphs/215131: state the slope and y-intercept of y=7x-51 solutions Answer 162555 by jim_thompson5910(28595) on 2009-09-20 19:29:18 (Show Source): You can put this solution on YOUR website!Notice how is in slope-intercept form where m is the slope and b is the y-intercept. So this shows us that the slope is and the y-intercept is  Quadratic_Equations/215128: give the exact and appropriate solutions to 3 decimal places (x-6)^2=811 solutions Answer 162554 by jim_thompson5910(28595) on 2009-09-20 19:28:15 (Show Source): You can put this solution on YOUR website! Start with the given equation. Take the square root of both sides. or Break up the "plus/minus" to form two equations. or Take the square root of to get . or Add to both sides. or Combine like terms. -------------------------------------- Answer: So the solutions are or .  Quadratic_Equations/215124: what are the exact solutions x^2+18x+81=161 solutions Answer 162552 by jim_thompson5910(28595) on 2009-09-20 19:22:09 (Show Source): You can put this solution on YOUR website!There are two ways to do this: Method # 1 Start with the given equation. Get every term to the left side. Combine like terms. Notice that the quadratic is in the form of where , , and Let's use the quadratic formula to solve for "x": Start with the quadratic formula Plug in , , and Square to get . Multiply to get Subtract from to get Multiply and to get . Take the square root of to get . or Break up the expression. or Combine like terms. or Simplify. So the solutions are or Method # 2 Start with the given equation. Factor the left side Take the square root of both sides. or Break up the "plus/minus" to form two equations. or Take the square root of to get . or Subtract from both sides. or Combine like terms. -------------------------------------- Answer: So the solutions are or (which is what we got earlier).  Linear-systems/215115: solve by substitution method what is the solution of the system? 4x+3y=-11 and -8x+y=431 solutions Answer 162550 by jim_thompson5910(28595) on 2009-09-20 19:16:11 (Show Source): You can put this solution on YOUR website! Start with the given system of equations: Start with the second equation. Add to both sides. Rearrange the terms and simplify. ------------------------------------------- Move back to the first equation. Plug in . Distribute. Combine like terms on the left side. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ------------------------------------------- Since we know that , we can use this to find . Move onto the second equation. Plug in . Multiply. Subtract from both sides. Combine like terms on the right side. So the solutions are and . This means that the system is consistent and independent. Notice when we graph the equations, we see that they intersect at . So this visually verifies our answer. Graph of (red) and (green)  Linear-systems/215116: Solve the system using any algebraic method. x-y=17 1/2x-3y=1 1 solutions Answer 162549 by jim_thompson5910(28595) on 2009-09-20 19:14:12 (Show Source): You can put this solution on YOUR website! Start with the second equation. Multiply EVERY term by the LCD 2 to clear out the fraction. So we have the system of equations: Start with the first equation. Subtract from both sides. Divide both sides by to isolate . Rearrange the terms and simplify. ------------------------------------------- Move onto the second equation. Now plug in . Distribute. Combine like terms on the left side. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ------------------------------------------- Since we know that , we can use this to find . Go back to the first equation. Plug in . Multiply. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. So the solutions are and . This means that the system is consistent and independent.  logarithm/215113: Hi, my name is Christy. Our professor passes out sheets in our class and I was wondering if you could help me with one of the questions. It is the formula {A = P ( 1+R/N) nt Compounding Interest. My question is An investment earns 5.6% interest, compounded monthly. Find the balance in the account after 3 years if$6000 is invested initially. I had A = $6000 ( 1 + 0.056/365) (1) (3) Is this right? I am lost on how to get the correct answer. I know the formula, but cannot figure out how to get the correct answer. Thanks.1 solutions Answer 162548 by jim_thompson5910(28595) on 2009-09-20 19:09:26 (Show Source): You can put this solution on YOUR website!First, since this balance is compounded monthly, the value of 'n' is (not 365) since 'n' is the number of times the balance is compounded annually. Start with the compound interest formula Plug in (initial investment), (this is the decimal form of 5.6% interest), , and (3 years) Divide 0.056 by 12 to get 0.00466667 Multiply the exponents 12 and 3 to get 36 Add 1 and 0.00466667 to get 1.00466667 Raise 1.00466667 to the 36 th power to get 1.1824746 Multiply 6000 and 1.182474 to get 7094.8476 Round to the nearest cent. So if you invest$6,000 at an interest rate of 5.6%, which is compounded 12 times a year for 3 years, the return is about \$7,094.85 (which is rounded to the nearest cent)