# 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 88835: I need help with this word problem: A plane flies 720 miles against a steady 30mi/h head wind and then returns to the same point with the wind. If the entire trip takes 10h, what is the planes speed in still air? Thank you for the help Click here to see answer by jim_thompson5910(28579)

 Question 88894: Simplify each expression answers cant have a negative or zero in it. 1. x^-4 2. (x^2y^6)^-3 3. x^4 divided by x^6 4. 12x^0x^2 divided by 4x^-6x^5 Click here to see answer by madhujiithcharu@yahoo.co.in(28)

 Question 88898: An experienced accountant can balance the books twice as fast as a new accountant. Working together it takes the accountants 10 hours. How long would it take the experienced accountant working alone? Click here to see answer by madhujiithcharu@yahoo.co.in(28)

 Question 88891: Can you please explain the steps in solving this problem in detail for me please...Thank you so much. Solve the following equation. 1/x-1 - 1/x+1 = 3x/ Click here to see answer by madhujiithcharu@yahoo.co.in(28)

 Question 88893: Find each product 1.(3x)(4x^3)(-x^5) 2.5x^3(4x^5-2x) 3. (5x-2y)^2 4. (5x+1)(3x^2-3x-2) Click here to see answer by chitra(359)

 Question 88841: Find (a) the GCF(greatest common factor) and (b)the LCM (least common multiple) of the following monomials. Question 6.) 28, 35, 42 Answers for 6.) (a)___________ (b)____________ Click here to see answer by malakumar_kos@yahoo.com(315)

 Question 88928: Would someone please explain to me step by step how to figure out this problem. Thank you. A triangle has sides 2x-5, 3x+1, and 4x+2. Find the polynomial that represents its perimeter. Click here to see answer by stanbon(57307)

 Question 88856: Factor the following polynomials a(to the forth power) + a (to the second power) Click here to see answer by checkley75(3666)

 Question 88979: (Use the Binomial Theorem to write out and simplify all terms in the expansion of (x-2y)^4. Click here to see answer by checkley75(3666)

 Question 89042: From a worksheet: the directions are to simplfy. I can't create this problem exactly for you the way it is on the worksheet, but hopefully you will know what it is. I know that it is dealing with rationalizing denominators, but I don't understand it. 1/2-2sqt3 On the worksheet, the 1 is the numerator. Then on the bottom is 2-2, then the square root sign followed by 3. Click here to see answer by stanbon(57307)

 Question 88997: Hello I need help reducing this rational expression to the lowest terms 36y^3z^8/54y^2z^9 Thank you Click here to see answer by ankor@dixie-net.com(15649)

 Question 89151: A university bookstore recently sold a wirebound graph-paper notebook for \$2.50, and a college-ruled notebook for \$2.30. At the start of spring semester, a combination of 50 of these notebooks were sold for a total of \$118.60. How many of each type were sold? A shopper buys three oranges and five lemons for \$10.26, while a second shopper buys four lemons and six oranges for \$11.16. What is the price of each fruit? can i please get help with these word problems? Click here to see answer by ankor@dixie-net.com(15649)

 Question 89165: This is just to see if I done this word problem right. The distance from a star to a planet is 3.1 * 10^17 m. How long does it take light, traveling at 10^16 m/year, to travel from the star to the planet? 3.1 * 10^17/10^16 3.1^17/10^16 31 Years Is this right? Click here to see answer by stanbon(57307)

 Question 89107: I have a problem solving this word problem Thank you A plane took 1 hr longer to travel 560 miles on the first portion of a flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the second part of the trip? Click here to see answer by checkley75(3666)

 Question 89161: Use the Binomial Theorem to write out and simplify the first four terms in the expansion of the (2a+3b)^7. Simplifying a term means to remove all parentheses and evaluate binomial coefficients. For example, the 3rd term of (2a+3b)^7 is given below in simplified form. Third term = (7 over 2)(2a)^5(3b)^2=21*2^5a^5*2^2b^2= 6048a^5b^2 Click here to see answer by stanbon(57307)

 Question 89224: hello, I know the answer to this problem, but I don't know how to figure the whole problem? would you please show me how? x^2-x-6/x^2-4=. I know you times them both by (x+2), but I can't figure out how to get to (x+2). Thanks Click here to see answer by stanbon(57307)

 Question 89233: I NEED HELP I need to simplify Thank you Click here to see answer by Edwin McCravy(8908)

 Question 89337: solve each equation for x x^2+4x+4=7 hint factor the left side i am very confused by this Click here to see answer by THANApHD(104)

 Question 89336: i need help solving this for x 2(x-5)^2=3 Click here to see answer by THANApHD(104)

 Question 89270: I need help with this word problem During rush hour, Bill can drive 15 miles using the side roads in the same time that it takes to travel 10 miles on the freeway. If Bills rate on the side roads is 8 miles hour faster than hr rate on the freeway, find his rate in the side roads. Click here to see answer by stanbon(57307)

 Question 89299: (-6a3b4)2 (x + 9)(x - 9) (3x - 7)2 (3x + 6)(4x - 7) please simplify these above problems thanks bunches Click here to see answer by malakumar_kos@yahoo.com(315)

 Question 89367: 1: \$52 monthly fee plus \$10/hour for court rental 2: No monthly fee but \$9.50/hour for court rental. Let x = hours per month of court rental time. Write a mathematical model representing the total monthly cost, C, in terms of x for the following: 1: C=_________________ 2: C=_________________ How many hours would you have to rent the court so the monthly cost of 1. is less than 2.? Set up an inequality and show your work algebraically using the information in part a. Click here to see answer by stanbon(57307)

 Question 89393: Write the inverse variation equation of the following. Y varies inversely with x and y = 9 when x = 14. Click here to see answer by bucky(2189)

 Question 89396: Write the inverse variation equation of the following. Y varies inversely with x and y = 9 when x = 14. Click here to see answer by bucky(2189)
 Question 89396: Write the inverse variation equation of the following. Y varies inversely with x and y = 9 when x = 14. Click here to see answer by stanbon(57307)