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# Recent problems solved by 'Alan3354'

Alan3354 answered: 30973 problems
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 Polynomials-and-rational-expressions/435358: how do you add/divide polynomials?1 solutions Answer 301334 by Alan3354(30993)   on 2011-04-13 17:47:59 (Show Source): You can put this solution on YOUR website!I do them very well. Post an example, I'll show you.
 Geometry_Word_Problems/435354: 1)Two cars leave town going in opposite directions. One car is traveling 60 miles per hour (mph), and the other car is traveling 50 mph. How long will it take before the cars are 220 miles apart? 2)Which point lies in the solution set for the following system of inequalities? y < 2x + 4 y < -2x + 2 3)What is the value of the x variable in the solution to the following system of equations? 4x + 3y = 10 4x + 5y = 14 4)Solve the following system of equations. 3x - 2y = 6 6x - 4y = 14 5)Use the Substitution Method to solve the following system of equations. x - 4y = 1 2x - 9y = 3 6)Trevor's dad decided to get him a cell phone for his birthday. Cell Plus has a plan that costs \$25.00 per month plus an additional \$0.06 per minute. Cell Best has a plan that costs \$30.00 per month plus an additional \$0.05 per minute. How many minutes can Trevor talk and both cell plans cost the same amount? 7) For the following system, if you isolated x in the second equation to use the Substitution Method, what expression would you substitute into the first equation? 2x + y = 8 -x - 3y = -12 8)Fun Land theme park has a total of 110 males and females who are employed at the park. If the number of males is 10 more than three times the number of females, how many males are employed at the park? 9)There were 150 freshman and sophomores at the high school musical Reese and her friends attended. Freshman tickets were \$2.00 each and sophomore tickets were \$3.00 each. The receipts for freshman and sophomore tickets totaled \$390. How many sophomores bought tickets? 10)Solve the following system of equations. Please show your work to receive full credit. x - y = 10 2x + y = 2 Part 2: Explain which method you chose to solve the system and why you felt it was the best choice. Thank you! 1 solutions Answer 301333 by Alan3354(30993)   on 2011-04-13 17:44:40 (Show Source): You can put this solution on YOUR website!You show your efforts, we'll be glad to check your work and assist, but we're not gonna do all 10 of these for you. ------------- Tutoring is teaching how to do it, not doing it for you.
 Linear-systems/435344: What is the answer? x+3y=-21 solutions Answer 301331 by Alan3354(30993)   on 2011-04-13 17:32:44 (Show Source): You can put this solution on YOUR website!What is the question?
 Expressions-with-variables/435304: Simplify (1 + 10/y) / (1 - 100/y^2) 1 solutions Answer 301323 by Alan3354(30993)   on 2011-04-13 16:28:54 (Show Source): You can put this solution on YOUR website! = 1/(1 - 10/y) = 1/((y-10)/y) = y/(y-10)
 Numbers_Word_Problems/435258: What are the two consecutive numbers that have digit sums of 36 and1?1 solutions Answer 301321 by Alan3354(30993)   on 2011-04-13 16:25:02 (Show Source): You can put this solution on YOUR website!9999 & 10000
 Quadratic_Equations/435303: Write the following number in expanded form. 3.13 x 102= ? Please show me the steps to get the answer. Thanks1 solutions Answer 301317 by Alan3354(30993)   on 2011-04-13 16:22:25 (Show Source): You can put this solution on YOUR website!3.13*102 = 319.26
 Distributive-associative-commutative-properties/435210: Hi, I am having a little trouble: -9x - 13x + 7 please help1 solutions Answer 301264 by Alan3354(30993)   on 2011-04-13 13:33:54 (Show Source): You can put this solution on YOUR website!You didn't say what you're trying to do.
Expressions-with-variables/435201: two numbers their sum is 43 and their product is 405 . what are the difference of this two numbers ?
1 solutions

Answer 301253 by Alan3354(30993)   on 2011-04-13 12:29:25 (Show Source):
You can put this solution on YOUR website!
x(43-x) = 405

 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=229 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 29.0663729752108, 13.9336270247892. Here's your graph:

 Expressions-with-variables/435181: I think I'm missing a step in my answer to this problem, did I simplify this right? help? 84 - 26 x 3 + 98 / (-7) =84-78-14 = 84-92= -8 1 solutions Answer 301252 by Alan3354(30993)   on 2011-04-13 11:46:15 (Show Source): You can put this solution on YOUR website!84 - 26 x 3 + 98 / (-7) =84-78-14 = 84-92= -8 ------------- Looks right, if only the last term, the 98, is the numerator. It might be (84 - 26 * 3 + 98) / (-7) = 104/-7 = -104/7 No way to know without parentheses.
 Graphs/435177: What would the graph be for: y=2/3 times 4^x1 solutions Answer 301250 by Alan3354(30993)   on 2011-04-13 11:42:51 (Show Source): You can put this solution on YOUR website!dl the FREE graph software at http://www.padowan.dk
 Polynomials-and-rational-expressions/435143: Factor the perfect square trinomial completely 81y² + 144y + 64 Can someone help me please? I can not get the correct solution after trying numerous time. Thank you.1 solutions Answer 301247 by Alan3354(30993)   on 2011-04-13 11:01:16 (Show Source): You can put this solution on YOUR website!If you know it's a perfect square, how can it be a problem? and
 test/435173: A painter can finish painting a house in 3 hours. Her assistant takes 5 hours to finish the same job. How long would it take for them to complete the job if they were working together?1 solutions Answer 301246 by Alan3354(30993)   on 2011-04-13 10:58:59 (Show Source): You can put this solution on YOUR website!Same problem, different numbers ---------- 1 does 1/5 of the job per hour The other does 1/7 per hour. Together, 1/5 + 1/7 = 12/35 per hour --> 35/12 hour/job ----------------------- Use the shortcut, product over sum 5*7/(5+7) = 35/12
 test/435172: A painter can finish painting a house in 5 hours. Her assistant takes 7 hours to finish the same job. How long would it take for them to complete the job if they were working together? 1 solutions Answer 301245 by Alan3354(30993)   on 2011-04-13 10:58:26 (Show Source): You can put this solution on YOUR website!1 does 1/5 of the job per hour The other does 1/7 per hour. Together, 1/5 + 1/7 = 12/35 per hour --> 35/12 hour/job ----------------------- Use the shortcut, product over sum 5*7/(5+7) = 35/12
 Triangles/435157: How do you find the hypotenusein a 45-45-90 triangle? How do you find the leg in a 45-45-90 triangle? How do you find the lengths in a 30-60-90 triangle?1 solutions Answer 301244 by Alan3354(30993)   on 2011-04-13 10:56:20 (Show Source): You can put this solution on YOUR website!Use Pythagoras. In a 45-45-90, the hypotenuse is the leg x sqrt(2). ----------- In a 30-60-90, the hypotenuse is 2x the short leg. Sine(30) = 0.5
 Probability-and-statistics/435162: What is the probability that your license plate reads BOND-007?1 solutions Answer 301243 by Alan3354(30993)   on 2011-04-13 10:47:27 (Show Source): You can put this solution on YOUR website!Zero, I just checked it. ----------- A more serious response is, not enough info.
 Permutations/435059: how many even four digit number can you form from the digits 1,2,3,5 where no digit is used twice1 solutions Answer 301196 by Alan3354(30993)   on 2011-04-12 23:34:58 (Show Source): You can put this solution on YOUR website!The 2 has to be the units digit. The others are 1 or 3, then 1 of 2, then 1 of 1 = 3*2*1 = 6
 Permutations/435066: how many three card hands can be dealt from a deck of 52 cards1 solutions Answer 301195 by Alan3354(30993)   on 2011-04-12 23:32:04 (Show Source): You can put this solution on YOUR website!52*51*50 = many
 logarithm/435053: I need help to solve this equation for x. This is what I've tried so far. Is this correct/am I on the right track? 2*log[5(2x+3)]=2 2*log(10x+15)=2 1 solutions Answer 301194 by Alan3354(30993)   on 2011-04-12 23:31:02 (Show Source): You can put this solution on YOUR website!I need help to solve this equation for x. log(25*(2x+3)) = 2 25*(2x+3) = 100 50x + 75 = 100 x = 1/2 ---------------- This is what I've tried so far. Is this correct/am I on the right track? 2*log[5(2x+3)]=2 *** You multiplied 5 x 2x+3 but left out the 2. 2*log(10x+15)=2
 Graphs/434928: graph 1/6^-.71 solutions Answer 301144 by Alan3354(30993)   on 2011-04-12 19:53:22 (Show Source): You can put this solution on YOUR website!Is it (1/6)^-.7? Or 1/(6^-.7)? ---------- Either way, it's a number, nothing to graph.
 Numbers_Word_Problems/434916: find four consecutive even integers whose sum is -921 solutions Answer 301141 by Alan3354(30993)   on 2011-04-12 19:45:42 (Show Source): You can put this solution on YOUR website!-92/4 = -23, the center --> -20, -22, -24 & -26
 Travel_Word_Problems/434926: 17 miles in 20 minutes = ? mph1 solutions Answer 301140 by Alan3354(30993)   on 2011-04-12 19:43:27 (Show Source): You can put this solution on YOUR website!20 mins = 1/3 hour 17 miles/(1/3) hr = 51 mi/hr
 Travel_Word_Problems/434837: A car travels 40 m in 2 minutes. What is the speed of the car ?1 solutions Answer 301135 by Alan3354(30993)   on 2011-04-12 18:47:44 (Show Source): You can put this solution on YOUR website!40 meters/2 mins = 20 meters/minute
 Radicals/434885: Approximate the following to the nearest millionth. root:4:(41)^(7) Thanks1 solutions Answer 301133 by Alan3354(30993)   on 2011-04-12 18:45:39 (Show Source): You can put this solution on YOUR website!If you mean = =~ 664.311467 --------------- from a calculator is the same answer as above. Had it been a larger result, it could overflow the calculator, then the simplification would be more relevant.
 Exponential-and-logarithmic-functions/434818: Evaluate the expressions 1. log52 ( the 5 is under log) 2. log25 ( the 2 is under log)1 solutions Answer 301117 by Alan3354(30993)   on 2011-04-12 17:52:27 (Show Source): You can put this solution on YOUR website!Evaluate the expressions 1. log52 ( the 5 is under log) This is the base change. =~ 0.430677 The log is the exponent, so ------------- 2. log25 ( the 2 is under log) Same as #1
 Graphs/434836: 1. find a equation of the line containing the given pair of points. (-5, -2) and (-3,-1). The equation of the line in slope-intercept form is y= 2. Find an equation of the line containing the given pair of points.(1/4,-1/2) and (3/4,1). y= . Simply. type answer in y=mx+b using integers or fractions. 3. Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b. (8,9); x+4y=9. The equation of the line is y= . 4. Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b. (-7,7); 8x=7y+9. 5. (3,4); 5x+y=7 These are the last ones I need and I just cannot come out with the correct answers. Please someone HELP! THank you.1 solutions Answer 301114 by Alan3354(30993)   on 2011-04-12 17:46:56 (Show Source): You can put this solution on YOUR website!1. find a equation of the line containing the given pair of points. (-5, -2) and (-3,-1). These are all similar. For this one, find the slope. What did you get for it? Send your work via the thank you note. --------------------------- 2. Find an equation of the line containing the given pair of points.(1/4,-1/2) and (3/4,1). Same as #1 ------------------- 3. Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b. (8,9); x+4y=9. Find the slope of the given line first. The equation of the line is y= . You're wasting time typing that. What purpose does that serve? ----------------------------- 4. Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b. (-7,7); 8x=7y+9. 5. (3,4); 5x+y=7
 Numeric_Fractions/434849: if you divide by a half, is that the same thing as multiplying by 2?1 solutions Answer 301112 by Alan3354(30993)   on 2011-04-12 17:36:41 (Show Source): You can put this solution on YOUR website!Yes, it's the same. Dividing by anything = muliplying by its inverse.
 Quadratic_Equations/434850: Twice the square of an integer is 3 less than 7 times the integer. Find the integer. 2x^ = 1st integer 7x-3 = 2nd integer 2x^=7x-3 2x^ + 7x + 3 = 0 (2x+1)(x+3) 2x+1 = 0 x+3=0 2x=-1 x=-3 x=-1/2 & x = -3 this is as far as i could get? Is this right? We are to solve this using the GSSC model. 1 solutions Answer 301111 by Alan3354(30993)   on 2011-04-12 17:35:53 (Show Source): You can put this solution on YOUR website!Twice the square of an integer is 3 less than 7 times the integer. Find the integer. 2x^2 = 1st integer 7x-3 = 2nd integer 2x^2=7x-3 2x^2 + 7x + 3 = 0 ********** (2x-1)*(x-3) = 0 x = +1/2, 3 Only your signs are wrong. x^ is meaningless, the exponent has to be entered. It isn't always 2. --------------- (2x+1)(x+3) 2x+1 = 0 x+3=0 2x=-1 x=-3 x=-1/2 & x = -3 this is as far as i could get? Is this right? We are to solve this using the GSSC model. I don't know what the GSSC model means.
 Polynomials-and-rational-expressions/434675: what is the leading coefficient for F(x) = 1/4x^5 + 8x - 5x^4 - 191 solutions Answer 301055 by Alan3354(30993)   on 2011-04-12 12:22:09 (Show Source): You can put this solution on YOUR website!1/4
 Trigonometry-basics/434660: find the exact value in radians. csc^-1 (square root of 2)1 solutions Answer 301054 by Alan3354(30993)   on 2011-04-12 12:20:59 (Show Source): You can put this solution on YOUR website!= arcsin(1/sqrt(2)) = pi/4 radians (principal value)
 Exponential-and-logarithmic-functions/434663: I am having difficulty with this logarithmic equation. I have completed many problems like it, but this one eludes me. 4^(x+3) = 3^(-x) Could someone help me with this problem. Maybe some example problems would help. Thank you.1 solutions Answer 301047 by Alan3354(30993)   on 2011-04-12 11:36:59 (Show Source): You can put this solution on YOUR website!4^(x+3) = 3^(-x) -------------- (x+3)*log(4) = -x*log(3) x*log(4) + 3log(4) = -x*log(3) x(log(4) + log(3)) = -3log(4) x*log(12) = log(1/64) x = log(1/64)/log(12) x =~ -1.67366
 Linear-equations/434619: Find the equation of the line in STANDARD FORM through the points (2,1) and (-14,5)1 solutions Answer 301033 by Alan3354(30993)   on 2011-04-12 10:20:16 (Show Source): You can put this solution on YOUR website!Find the equation of the line in STANDARD FORM through the points (2,1) and (-14,5) ---------------- Do it like this: Find the equation given 2 points: Points (3,7) and (6,1) Find m, the slope m = diffy/diffx = (6-3)/(1-7) = 3/(-6) m = -1/2 -------- Use y = mx + b and either point to find b, the y-intercept 7 = (-1/2)*3 + b b = 8.5 or 17/2 --> y = (-1/2)x + 17/2 in slope-intercept form x + 2y = 17 in standard form