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# Recent problems solved by 'jim_thompson5910'

 Equations/343576: two sisters save $180. one made 25 more than the other what equation can we use to represent this? 1 solutions Answer 245852 by jim_thompson5910(28595) on 2010-09-15 17:48:01 (Show Source): You can put this solution on YOUR website!Let x = amount that sister #1 saved and y = amount that sister #2 saved. Now let's say that sister #2 made 25 more than sister #1. This then means that . In addition, because "two sisters save$180" (ie their savings combine to $180), we also know that  Inequalities/343582: -3(5x+10)<-18x-91 solutions Answer 245850 by jim_thompson5910(28595) on 2010-09-15 17:45:51 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Distribute. 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 answer is  Equations/343583: How do you figure out how to solve ?1 solutions Answer 245849 by jim_thompson5910(28595) on 2010-09-15 17:45:13 (Show Source): You can put this solution on YOUR website! Start with the given equation. Cross multiply. Distribute. Multiply 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 Negate to get . Square to get . Multiply to get Rewrite as Add to 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 answers are or  Functions/343585: domain of a constant 1 solutions Answer 245847 by jim_thompson5910(28595) on 2010-09-15 17:43:26 (Show Source): You can put this solution on YOUR website!The domain of a constant function is the set of all real numbers.  Angles/342989: The complement of an angle measures 37°. What is the measure of the angle?1 solutions Answer 245470 by jim_thompson5910(28595) on 2010-09-14 14:47:41 (Show Source): You can put this solution on YOUR website!Hint: Complementary angles add to 90 degrees. So if one angle is 'x' degrees, then the other angle is degrees.  Quadratic_Equations/342988: the are of a rectangle is 144in^2. the length is 4 times great than the width. Which quadratic equation represents the are of the rectangle? a)w(4w)=144 b)w(4-w)=144 c)w(w-4))=144 d)w(w+4)=1441 solutions Answer 245468 by jim_thompson5910(28595) on 2010-09-14 14:45:21 (Show Source): You can put this solution on YOUR website!Hint: If we let the width be 'w' inches, then the length is 4w (4 times 'w') inches. Ex: If the width is w=5 inches, then the length is 4*5=20 inches.  Systems-of-equations/342986: Please solve algebraically: 2x^2 + 2y^2 + 4x = 6y x^2 + y^2 + 2x - 3y = 1 For the first equation, I was able to divide everything by 2 and complete the square. After, I completed the square I factored it and got the answer: ( x+1)^2 + (y-3)^2 = 0 I did not know what to do after that though, it would be easy to solve the with a graph, but I cannot figure out how to solve both equations. Any help would be greatly appreciated, thanks so much! 1 solutions Answer 245465 by jim_thompson5910(28595) on 2010-09-14 14:41:34 (Show Source): You can put this solution on YOUR website!Here's the basic outline to solving this problem 1) Select an equation and complete the squares for both x and y. You've already done that. Call this equation 3. 2) Select a variable to solve for in equation 3. Let's say you choose to solve for 'y'. 3) Once you've solved for 'y', plug that solved expression into each 'y' of the other equation. Once you've done this, every 'y' will essentially be replaced by 'x' terms and you'll have an equation with only one variable. 4) Expand, combine like terms, and simplify to get the equation with one variable in the form . 5) Now use the quadratic formula to solve for 'x'. 6) Use the solution(s) found in step 5) to find the corresponding solution(s) in terms of 'y'. Let me know if this helps at all.  Equations/342981: 3x-1=7-(8+3x)1 solutions Answer 245463 by jim_thompson5910(28595) on 2010-09-14 14:29:27 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Combine like terms on the right side. 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 answer is  Probability-and-statistics/342964: For those of you who like standardized tests, I found this question on a recent SAT test: Two fair dice are tossed simultaneously. What is the probability that the product of the numbers that land showing is at least 25? Explain your solution.1 solutions Answer 245461 by jim_thompson5910(28595) on 2010-09-14 14:28:20 (Show Source): You can put this solution on YOUR website!You can use a multiplication table to help you visualize the answer. Simply only focus on the values 1-6. Looking at a multiplication table, there are 36 possible values that the two dice can multiply to, but there are only 4 possible ways to get 25 or more (5*5=25, 5*6=30, 6*5=30 and 6*6=36) So the probability that the product is 25 or more is which is 0.1111 in decimal form (basically, an 11.11% chance)  Equations/342788: what is 12-5u=-481 solutions Answer 245342 by jim_thompson5910(28595) on 2010-09-14 00:29:48 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider making a donation at my tutoring website. Thank you. Jim  Money_Word_Problems/342776: How long will it take$700 to double itself at 7% simple interest? 1 solutions Answer 245321 by jim_thompson5910(28595)   on 2010-09-13 23:16:57 (Show Source): You can put this solution on YOUR website! Start with the simple interest formula. Plug in (double the amount of $700), , and (the decimal equivalent of 7%). Multiply and to get . Subtract from both sides. Combine like terms. Divide both sides by to isolate 't'. Divide. Rearrange the equation. Round to the nearest hundredth. So it will take about 14.29 years for an investment of$700 to grow to $1400 with an interest rate of 7% (using simple interest). If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider making a donation at my tutoring website. Thank you. Jim  Complex_Numbers/342746: solutions to the problem 4x^2-8x+3=01 solutions Answer 245301 by jim_thompson5910(28595) on 2010-09-13 21:53:52 (Show Source): You can put this solution on YOUR website! Start with the given equation. 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 Negate to get . 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 If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider making a donation at my tutoring website. Thank you. Jim  Complex_Numbers/342743: solutions to the problem 16x^2-64=01 solutions Answer 245300 by jim_thompson5910(28595) on 2010-09-13 21:49:04 (Show Source): You can put this solution on YOUR website! Start with the given equation. 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 Rewrite as Add to 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 If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim  expressions/342737: 3-5(a-4) simplify1 solutions Answer 245297 by jim_thompson5910(28595) on 2010-09-13 21:45:44 (Show Source): You can put this solution on YOUR website! So If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim  Quadratic_Equations/342738: in ax^2+bx+c form, what is x^2+4x+8=5x+181 solutions Answer 245296 by jim_thompson5910(28595) on 2010-09-13 21:43:14 (Show Source): You can put this solution on YOUR website! Start with the given equation. Get every term to the left side. Combine like terms. Now the equation is in form where , and If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim  Linear-equations/342726: Find an equation of the line containing the given pair of points (-7,-3) and (-2,-4)1 solutions Answer 245289 by jim_thompson5910(28595) on 2010-09-13 21:32:24 (Show Source): You can put this solution on YOUR website! First let's find the slope of the line through the points and Note: is the first point . So this means that and . Also, is the second point . So this means that and . Start with the slope formula. Plug in , , , and Subtract from to get Subtract from to get So the slope of the line that goes through the points and is Now let's use the point slope formula: Start with the point slope formula Plug in , , and Rewrite as Rewrite as Distribute Multiply Subtract 3 from both sides. Combine like terms. note: If you need help with fractions, check out this solver. Simplify So the equation that goes through the points and is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim  test/342720: Is -6x - 24 equal to -6x+-241 solutions Answer 245277 by jim_thompson5910(28595) on 2010-09-13 21:15:43 (Show Source): You can put this solution on YOUR website!Yes, since adding a negative is the same as subtracting. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim  Inequalities/342716: 8.2+v>-7.61 solutions Answer 245275 by jim_thompson5910(28595) on 2010-09-13 21:09:10 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Multiply both sides by 10 to clear out the decimals. Distribute and multiply. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim  Equations/342714: 2/3x +1/2x=14 1 solutions Answer 245274 by jim_thompson5910(28595) on 2010-09-13 21:05:38 (Show Source): You can put this solution on YOUR website! Start with the given equation. Multiply both sides by the LCD to clear any fractions. Distribute and multiply. Combine like terms on the left side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim  Equations/342710: t-17=42 b+113=122 x+143=171 p-216=243 s-49=281 solutions Answer 245273 by jim_thompson5910(28595) on 2010-09-13 21:04:28 (Show Source): You can put this solution on YOUR website!I'll do the first two to get you started # 1 Start with the given equation. Add to both sides. Combine like terms on the right side. ---------------------------------------------------------------------- Answer: So the solution is ====================================================================== # 2 Start with the given equation. Subtract from both sides. Combine like terms on the right side. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim  Linear-equations/342712: Solve the following system of linear equations, a) using Substitution In your submission, include the variable you solved for and the expression you obtained for the variable. Write your answer as an ordered pair. x+2y=5 2x+y=-2 1 solutions Answer 245272 by jim_thompson5910(28595) on 2010-09-13 21:02:36 (Show Source): You can put this solution on YOUR website! Start with the given system of equations: Now in order to solve this system by using substitution, we need to solve (or isolate) one variable. I'm going to solve for y. So let's isolate y in the first equation Start with the second equation Subtract from both sides Rearrange the equation --------------------- Since , we can now replace each in the first equation with to solve for Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown. Distribute to Multiply Combine like terms on the left side Add 4 to both sides Combine like terms on the right side Divide both sides by -3 to isolate x Divide -----------------First Answer------------------------------ So the first part of our answer is: Since we know that we can plug it into the equation (remember we previously solved for in the first equation). Start with the equation where was previously isolated. Plug in Multiply Combine like terms -----------------Second Answer------------------------------ So the second part of our answer is: -----------------Summary------------------------------ So our answers are: and which form the point If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim  Functions/342702: f(x)= X^3+2x^2 divided by (x-1)^21 solutions Answer 245263 by jim_thompson5910(28595) on 2010-09-13 20:52:40 (Show Source): You can put this solution on YOUR website!What do you want to do here? Please post the full instructions.  Expressions-with-variables/342700: BAGELS COST$.50 EACH.WRITE AN ALGEBRAIC EXPRESSIONS FOR THE COST of b bagels1 solutions Answer 245261 by jim_thompson5910(28595)   on 2010-09-13 20:49:35 (Show Source): You can put this solution on YOUR website!The cost of 'b' bagels is dollars. If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider making a donation at my tutoring website. Thank you. Jim