# Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

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 Algebra: Polynomials, rational expressions and equations Solvers Lessons Answers archive Quiz In Depth

 Question 40762: Find all positive values for k for this if it can be factored x^2 - kx + 17 Click here to see answer by Nate(3500)

 Question 40793: A number added to the product of 6 and the reciprocal of the number equals -5. Click here to see answer by Nate(3500)

 Question 40800: Hello I need some help with this problem: I need to factor it into linear factors and find all the zeros (including complex zeros). I don't know how to factor this problem, I've tried doing this: but I get stuck here. Can 0 be one of the zeros of this equation? Click here to see answer by astromathman(21)

 Question 40812: The length of an airplane hanger is 4 times its height (h).The width of the hanger is 10 ft more than 2 times its height. What is the volume of the hanger? This is what I tried: h = height L = length = 4h w = width = 2h+10 Volume = L*w*h = (4h)*(2h+10)*(h) = 8*h^2*(h+5) Click here to see answer by psbhowmick(529)

 Question 40799: How do you simplify: 5x + 2y / 35x + 14y ? I can get 1x + 1y / 7x + 7y, is this close at all? I am so lost on this. Click here to see answer by stanbon(57354)

 Question 40831: A triangle has sides 2x-5, 3x+1, and 4x+2. What is the polynomial that represents the perimter? Is it 24x-10? Click here to see answer by fractalier(2101)

 Question 40839: Write this expression in simplest form. 4x - 28/5x - 35 Thanks! Click here to see answer by longjonsilver(2297)

 Question 40846: Let width = w Area = So or So required width is (3x + 5). Click here to see answer by psbhowmick(529)

 Question 40850: How do I solve this word problem? Dick and Anne took a trip to France. Their siutcases were weighed at the airport and the weight recorded was 39 kilograms. If 50 kilograms is equivalent to 110 pounds, how many pounds did their suitcases weigh? Round to the nearest pound. Click here to see answer by fractalier(2101)

 Question 40844: Solve formula for variable – Statistics Example The formula for the margin for the margin of error to establish a confidence interval has been found mathematically to be: where: e = margin of error z = critical value s = sample standard deviation n = sample size Given known values for e, z, and s solve the margin of error formula n to determine sample size. ⇒ ⇒ ⇒ ⇒ ⇒ Click here to see answer by stanbon(57354)

 Question 40848: How do I add these rational expressions? 2 / y - 1 + 2 / y + 1 ? Click here to see answer by fractalier(2101)

 Question 40849: I presume your equation means . this can be written, after cross-multiplication, as or or or 2x = 12 or x = 6 Click here to see answer by psbhowmick(529)

 Question 40845: write 4x^2+12x as a product in three different ways. Then describe which of the three is the completely factored form. Explain your reasoning Click here to see answer by fractalier(2101)

 Question 40840: The volume of a box is represented by (x^2 + 5x + 6)(x + 5). Find the polynomial that represents the area of the bottom of the box. Thanks! Click here to see answer by fractalier(2101)

 Question 40838: Write this expression in simplest form. 4r^2 - 25s^2/2r^2 + 3rs - 20s^2 Thanks! Click here to see answer by fractalier(2101)

 Question 40837: Write this fraction in simplest form. -15x^3y^3/-20xy^4 Thanks! Click here to see answer by fractalier(2101)

 Question 40855: = = = To start this type of problem find the product of the coefficient (here -3) of and the constant term (here 8). Consider the positive value of the product (). Try to express the coefficient of 's' i.e. -10 as a sum of two numbers whose product is, here, 24. Then you would be able to find some expressions common and will be able to factorize. Click here to see answer by longjonsilver(2297)
 Question 40855: = = = To start this type of problem find the product of the coefficient (here -3) of and the constant term (here 8). Consider the positive value of the product (). Try to express the coefficient of 's' i.e. -10 as a sum of two numbers whose product is, here, 24. Then you would be able to find some expressions common and will be able to factorize. Click here to see answer by psbhowmick(529)

 Question 40864: One machine in a print shop can produce a certain # of pages twice as fast as another machine. Operating together these machines can produce this number of pages in 8 minutes. How long would it take the slower machine working alone to produce this number of pages? ______minutes. Thanks Click here to see answer by checkley71(8403)

 Question 40860: i have a picture of a triangle and the lenght is (3n+1) and the width is (2n-5) and it says "write the area as a trinomial." i got 6n^2+13n-5 but it said i was wrong so how do i do these problems? Click here to see answer by checkley71(8403)

 Question 40871: Alyson opened a savings account with a deposit of \$600 to pay for a trip to europe. She then deposited her next 2 paychecks of \$300 each. If she takes her entire savings with her to Europe and plans to spend 10 days, how much money will she have to spend each day? Thanks soooo much!!!!! Click here to see answer by checkley71(8403)

 Question 40876: Team x can set up chairs in the gym in 15minutes and team y can set up the chairs in 20 minutes. How long would it take them working together to set up the same chairs? ___minutes. i got 8.5714 but i was wrong. please help me. Thank you. Click here to see answer by checkley71(8403)

 Question 40878: one thousand dollars in a savings account pays 7% interest per year. The interest earned after the first year is added to the account. How much interest is earned on the new principle the following year? (the answer is not \$144.9) Thanks you very much Click here to see answer by checkley71(8403)

 Question 40881: Harry has \$4000 invested in 2 savings accounts. One account earns 6% interest per year, and the other pays 7% per year. If his total interest for the year is \$264, how much is invested at 7%? (The answer is not \$264 or \$1600) Thank you Click here to see answer by checkley71(8403)

 Question 40877: David can type a 50 page paper in 8 hours. Last month David and Andy together typed a 50 page paper in 6 hours. How long would it take Andy to type a 50 page paper on his own? Thank you Click here to see answer by Paul(988)

 Question 40887: Suppose Mr. Taylor's speed during journey from Pittsburgh to Chicago was 'x' mph. So his speed during journey from Chicago to Pittsburgh was 'x+15' mph. Time taken in up-journey = hrs. Time taken in down-journey = hrs. As down-journey takes 2 hrs. more so or or or or Factorising But here speed cannot be negative (as then the car goes in opposite direction and the problem is not valid) so x not equal to -75. Hence x = 60. Ans.: Thus the average speed of Mr. Taylor's car from Pittsburgh to Chicago was 60 mph. Click here to see answer by psbhowmick(529)

 Question 40893: Two road crews, working together, repaired 1 mile of road in 4 hours. Working separately, one of the crews takes about 6 hours to repair a similar road. How long would it take the other crew, working alone, to repair a similar road? Thank you! Click here to see answer by checkley71(8403)

 Question 40886: One car travels 40 km/hr faster than another. while one travels 150 km the other goes 350km. Find the speed of the slower car. ___km/hr THANKYOU!!!! Click here to see answer by checkley71(8403)

 Question 40900: Tommy drove his fully-loaded moving van 270 miles to Oklahoma City. With his van empty, Tommy drove 15mi/hr faster and made the return trip in 1.5 hours less. find the speed going. ____mph Thanks Click here to see answer by checkley71(8403)
 Question 40900: Tommy drove his fully-loaded moving van 270 miles to Oklahoma City. With his van empty, Tommy drove 15mi/hr faster and made the return trip in 1.5 hours less. find the speed going. ____mph Thanks Click here to see answer by rajagopalan(158)

 Question 40898: An integer minus 3 times its reciprocal equals 26/3. What is the integer? Click here to see answer by Nate(3500)

 Question 40883: How much money should be invested at an anual rate of 12% in order to earn \$300 interest in a year? \$______ Thank you Click here to see answer by checkley71(8403)

 Question 40896: The reciprocal of two times a certain integer plus the reciprocal of two more times than twice the integer equals 7/24. What is the integer? Thank You Click here to see answer by Nate(3500)
 Question 40896: The reciprocal of two times a certain integer plus the reciprocal of two more times than twice the integer equals 7/24. What is the integer? Thank You Click here to see answer by Paul(988)

 Question 40912: The reciprocal of two more than a number is three-fourths of the reciprocal of the number itself. What is the number? Click here to see answer by Nate(3500)

 Question 40882: 8 hundred dollars is borrowed at an interest rate of 1.5% per month. Find the interest paid over the period of 5 months. \$860 right? Thank you Click here to see answer by rajagopalan(158)

 Question 40880: Ryan was 8 when his parents invested \$4000 in a certificate of deposit that pays 6% for investments of 3 years. If Ryan leaves the account alone until it reaches \$10,000, how old will he be? If Ryan leaves the account alone until it doubles how old will he be? Thank you verrryyyy much!!!!!!!!!!!!!!!!!!!!!!!!!!! Click here to see answer by Nate(3500)

 Question 40915: The additive inverse of a number divided by 12 is the same as one less than 3 times its reciprocal. Find the number. -------------------------------------------------------------------------------- What # can be added to both the numerator and the denominator of this fraction to produce this fraction? 19/37 + ___= 4/7 Thanks sooooooooooo much!!!!!!!!!!! Click here to see answer by rajagopalan(158)

 Question 40879: one thousand dollars in a savings account pays 9% interest per year. The interest earned after the first year is added to the account. How much interest is earned on the new principle the following year? Thanks you very much Click here to see answer by rajagopalan(158)

 Question 40914: It takes Jim 6 hours longer to fly the 1125 miles from Montreal, Canada to Birmingham, Alabama, in his Piper Cub than it does in his jet. If his average speed in the jet is 3 times that in the Piper Cub, What is the average speed of the Piper Cub? __mph Click here to see answer by Paul(988)

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