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Equations/647793: Find the quotient of 8x^5-2x^4+4x^3-6x^2 /2x^2 1 solutions Answer 406398 by Alan3354(30993)   on 2012-09-08 16:44:12 (Show Source): You can put this solution on YOUR website! Find the quotient of 8x^5-2x^4+4x^3-6x^2 /2x^2 =

Travel_Word_Problems/647797: Jennifer drives to her friends house 20km away. There is no direct route so she travels 15km through the city at 50km/h and 15km on the highway at 100km/h. The trip takes 27minutes. Find Jennifer's average speed. 1 solutions Answer 406387 by Alan3354(30993)   on 2012-09-08 16:11:55 (Show Source): You can put this solution on YOUR website! Jennifer drives to her friends house 20km away. There is no direct route so she travels 15km through the city at 50km/h and 15km on the highway at 100km/h. The trip takes 27minutes. Find Jennifer's average speed. ------------ Avg speed = 2*50*100/(50+100) = 200/3 km/hr -------------- Or, she went 30 km in 27 minutes r = d/t = 30/27 km/min = 200/3 km/hr

Linear-equations/647725: Find the slope, x-intercept, and y-intercept of line. y=-4x-+1 1 solutions Answer 406347 by Alan3354(30993)   on 2012-09-08 13:17:50 (Show Source): You can put this solution on YOUR website! Find the slope, x-intercept, and y-intercept of line. y=-4x-+1 ---------- It's in slope-intercept form, y = mx + b m = slope = -4 b = y-intercept = -1 (I think -+1 = -1) ------------ At the x-intercept, y = 0 0 = -4x - 1 x = -1/4

Numeric_Fractions/647647: Thanks for your reply to my comment about the solution to problem 14557 (ref 647484) but the reply substantiates my claim that the ANSWER given shows the n to be in the denominator and perhaps I was not as lucid in my comment that it didn't emphasize the point. Hopefully, a student will have the opportunity to put both answers (14557 and 647484) together and recognize the truth as given in answer 647484 and understand fully the differences. (It is pretty obvious.) 1 solutions Answer 406332 by Alan3354(30993)   on 2012-09-08 10:08:18 (Show Source): You can put this solution on YOUR website! Parentheses are free. Use some, eschew obfuscation.

Equations/647642: My daughter has a home work question which I am not sure where to start with please can you assist? Question Any square number which is even is always a multiple of 4, please explain why using algebra Many thanks Mark 1 solutions Answer 406325 by Alan3354(30993)   on 2012-09-08 07:50:03 (Show Source): You can put this solution on YOUR website! Any square number which is even is always a multiple of 4, please explain why using algebra ------------- An even number has the form 2n which has a factor of 4.

Exponents/647566: I have several problems like this one: -4x^(-3)y^(4)/-24x^(-3)y^(-3) First I take a -4 out of the coefficients. Then I cancel out the x^(-3). I don't know what to do with the y. I know I'm going about it the wrong way, but I can't figure out how to do this correctly. Could you please show me how to solve this step-by-step? Thank you. 1 solutions Answer 406295 by Alan3354(30993)   on 2012-09-07 21:46:48 (Show Source): You can put this solution on YOUR website! = = Multiply NUM and DEN by y^3 =

Exponents/647452: (3*10to the 4th power)*(3*10 to the 2nd power) 1 solutions Answer 406248 by Alan3354(30993)   on 2012-09-07 18:48:09 (Show Source): You can put this solution on YOUR website! (3*10to the 4th power)*(3*10 to the 2nd power) ------------- 3E4*3E2 = 9E6 =

Money_Word_Problems/647471: A couple does not wish to spend more than $100 for dinner at a restaurant. If a sales tax of 4% is added to the bill and they plan to tip 15% after the tax has been added, what is the most they can spend for the meal? (Round your answer to the nearest cent.) 1 solutions Answer 406246 by Alan3354(30993)   on 2012-09-07 18:46:33 (Show Source): You can put this solution on YOUR website! A couple does not wish to spend more than $100 for dinner at a restaurant. If a sales tax of 4% is added to the bill and they plan to tip 15% after the tax has been added, what is the most they can spend for the meal? (Round your answer to the nearest cent.) ------------- m = cost of meal m*1.04*1.15 <= 100 --------------------- They should stay home, since they're morons.

test/647474: Sammy bought 28 books to add to his collection. If he paid $89.76 for all of the books, about how much did he pay for each one? 1 solutions Answer 406245 by Alan3354(30993)   on 2012-09-07 18:44:17 (Show Source): You can put this solution on YOUR website! Sammy bought 28 books to add to his collection. If he paid $89.76 for all of the books, about how much did he pay for each one? ---------- No way to know. They could be different prices.

Rectangles/647489: Bill has a circular swimming pool that has a radius of 7 feet. What is the approximate surface area of the pool? 1 solutions Answer 406243 by Alan3354(30993)   on 2012-09-07 18:43:11 (Show Source): You can put this solution on YOUR website! Bill has a circular swimming pool that has a radius of 7 feet. What is the approximate surface area of the pool? --------

Unit_Conversion_Word_Problems/647503: A graduated cylinder contains 16.5 of water. What is the new water level after 33.2 of silver metal with a density of 10.5 is submerged in the water? 1 solutions Answer 406241 by Alan3354(30993)   on 2012-09-07 18:42:06 (Show Source): You can put this solution on YOUR website! A graduated cylinder contains 16.5 of water. *** 16.5 what? What is the new water level after 33.2**** 33.2 what? *** of silver metal with a density of 10.5 is submerged in the water?

Geometric_formulas/647501: A square has an area of 10x2 + 31x + 15. What is the length of each side? 1 solutions Answer 406240 by Alan3354(30993)   on 2012-09-07 18:40:41 (Show Source): You can put this solution on YOUR website! A square has an area of 10x2 + 31x + 15. What is the length of each side? --------

Expressions-with-variables/647367: what is the possible solutions for x in 6x+5x=(6/x) 1 solutions Answer 406236 by Alan3354(30993)   on 2012-09-07 18:31:07 (Show Source): You can put this solution on YOUR website! 6x+5x=(6/x) 11x = 6/x

Linear_Equations_And_Systems_Word_Problems/647419: the sum of two numbers are 62 the greater number is exceed twice the smaller number by 5 what are the two numbers 1 solutions Answer 406233 by Alan3354(30993)   on 2012-09-07 18:28:37 (Show Source): You can put this solution on YOUR website! the sum of two numbers are 62 the greater number is exceed twice the smaller number by 5 what are the two numbers ------------ x + y = 62 y = 2x - 5 ------------- x + y = 62 2x -y = -5 ------------- Add 3x = 57 x = 19 y = 43

Graphs/647492: Find the center and radius of each circle. #1 (x+2)^2+y^2=16 #2 (x-1/2)^2+(y-1/2)^2=25 #3 (x-5)^2+y^2=68 1 solutions Answer 406230 by Alan3354(30993)   on 2012-09-07 18:24:49 (Show Source): You can put this solution on YOUR website! Find the center and radius of each circle. #1 (x+2)^2+y^2=16 It's so h = -2, k = 0, r = 4 --> Center @ (-2,0), r = 4 ============================ Do these the same way. #2 (x-1/2)^2+(y-1/2)^2=25 #3 (x-5)^2+y^2=68

test/647349: Professor I'm suppose to use the quadratic formula to solve but my answer is not matching my choices. The problem is 3nČ=-6n-1 I moved everything to one side and I got -6-+2√6/6 but its not one of my options. Need your help thanks! 1 solutions Answer 406139 by Alan3354(30993)   on 2012-09-07 11:03:20 (Show Source): You can put this solution on YOUR website! The problem is 3nČ=-6n-1 ---------------- 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=24 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: -0.183503419072274, -1.81649658092773. Here's your graph: ================= n = -1 ± sqrt(6)/3 Maybe you didn't reduce it.

Travel_Word_Problems/647342: If a car travels af 70 MPH for 2 hours, how much distance does it cover in 2 hours? 1 solutions Answer 406137 by Alan3354(30993)   on 2012-09-07 10:34:10 (Show Source): You can put this solution on YOUR website! If a car travels af 70 MPH for 2 hours, how much distance does it cover in 2 hours? d = r*t distance = rate*time

Matrices-and-determiminant/647295: solve the following set of simultaneous equation by using Gaussian Elimination method : 1/x + 2/y - 1/z = 1 2/x + 4/y - 1/z = 5 3/x + 2/y - 2/z = 0 1 solutions Answer 406135 by Alan3354(30993)   on 2012-09-07 10:14:15 (Show Source): You can put this solution on YOUR website! 1/x + 2/y - 1/z = 1 2/x + 4/y - 1/z = 5 3/x + 2/y - 2/z = 0 --------------- Sub for 1/x, etc ------ r + 2s - t = 1 Eqn 1 2r+ 4s - t = 5 Eqn 2 3r+ 2s -2t = 0 Eqn 3 ------ r + 2s - t = 1 Eqn 1 2r+ 4s - t = 5 Eqn 2 ----------------------- Subtract -r - 2s = -4 eqn A =============== 4r+ 8s -2t = 10 Eqn 2 x2 3r+ 2s -2t = 0 Eqn 3 -------------------------- Subtract r + 6s = 10 eqn B -r - 2s = -4 eqn A ----------------------- Add 4s = 6 s = 3/2 y = 2/3 etc

Linear-equations/647316: What Use the intercept form to find the equation of the line with the given intercepts. X-intercept (-1/6,0) y-intercept (0,-2/3) 1 solutions Answer 406130 by Alan3354(30993)   on 2012-09-07 09:35:41 (Show Source): You can put this solution on YOUR website! Use the intercept form to find the equation of the line with the given intercepts. X-intercept (-1/6,0) y-intercept (0,-2/3) -------- I left out the "What" ----- If the intercepts are (A,0) andn (0,B), the equation is Bx + Ay = A*B -2x/3 - y/6 = 1/9 12x + 3y = -2

Travel_Word_Problems/647319: if a car accelerates and move at a constant speed of 40km/h and reaches 80 km in 3 hours,and then de accelerates and come back at same speed of 40km/h and reaches 40 km in 3 hours,then what we have done in 6 hours as displacement is zero for the car. 1 solutions Answer 406120 by Alan3354(30993)   on 2012-09-07 08:52:10 (Show Source): You can put this solution on YOUR website! if a car accelerates and move at a constant speed of 40km/h and reaches 80 km in 3 hours, ----------- If it moves at 40 km/hr for 3 hours, it won't go 80 km, it'll go 120 km. ------------------ and then de accelerates and come back at same speed of 40km/h and reaches 40 km in 3 hours, 40*3 = 120, not 40 -------------------- then what we have done in 6 hours as displacement is zero for the car.

Radicals/647288: What is the answer to this question: Simplify the square root of 12 plus the square root of 20? A:4 times the square root of 2 B:4(square root of 3 plus square root of 5) C:8 times square root of 2 D:2 times square root of 3 + 2 times square root of 5. E:None of these. S.O.S HELP!!!! 1 solutions Answer 406119 by Alan3354(30993)   on 2012-09-07 08:49:52 (Show Source): You can put this solution on YOUR website! Simplify the square root of 12 plus the square root of 20? ------------ --> Not much simpler

Mixture_Word_Problems/647324: Let A and B be two solid spheres such that the surface area of B is 300% higher than the surface area of A. The volume of A is found to be k% lower than the volume of B. The value of k must be 1 solutions Answer 406117 by Alan3354(30993)   on 2012-09-07 08:45:18 (Show Source): You can put this solution on YOUR website! Let A and B be two solid spheres such that the surface area of B is 300% higher than the surface area of A. The volume of A is found to be k% lower than the volume of B. The value of k must be ---------------- 300% more = 4 times the area. Area is a function of r^2, so r = 2 times. ------ Volume is a function of r^3 --> B has 8 times the volume of A A's volume is 7/8 less than B's --> 87.5% less volume k = 87.5

Rectangles/647011: A=1w what is 1 if a is 48 and w is 8ft 1 solutions Answer 405995 by Alan3354(30993)   on 2012-09-06 18:57:02 (Show Source): You can put this solution on YOUR website! A=1w what is 1 if a is 48 and w is 8ft ------------ A = L*W L = A/W

Quadratic_Equations/647006: HI math tutors. I am extremely confused with this if you guys could help me i would appreciate. thanks how would i be able to solve and to graph this equation y=1/(x^2-2)(x^3-3)? and find the slope 1 solutions Answer 405994 by Alan3354(30993)   on 2012-09-06 18:55:08 (Show Source): You can put this solution on YOUR website! how would i be able to solve and to graph this equation y=1/(x^2-2)(x^3-3)? and find the slope ----------- What is the denominator?

Polynomials-and-rational-expressions/647023: ok so i think i have it but im not sure if it is right. I had to Graph each absolute value function and state its domain and range.I have to show all my work. h(x)=|-2x| I also had to Graph each piecewise function. I have to show all my work. X=-3 I can email you if you want to see my work if you like. 1 solutions Answer 405992 by Alan3354(30993)   on 2012-09-06 18:51:39 (Show Source): You can put this solution on YOUR website! ok so i think i have it but im not sure if it is right. I had to Graph each absolute value function and state its domain and range.I have to show all my work. h(x)=|-2x| I also had to Graph each piecewise function. I have to show all my work. X=-3 I can email you if you want to see my work if you like. =========== If you email via the Thank You note, I can check your work.

Coordinate-system/647017: I have a question on slope. also d=rt. i dont know if it qualifies in this section or not. i know a lot about slope like the from and everything but what i dont know is how to get x or y by itself. i also dont know anything about d=rt all that i know is that it means distance rate and time please help me! 1 solutions Answer 405991 by Alan3354(30993)   on 2012-09-06 18:50:31 (Show Source): You can put this solution on YOUR website! I have a question on slope. also d=rt. i dont know if it qualifies in this section or not. i know a lot about slope like the from and everything but what i dont know is how to get x or y by itself. i also dont know anything about d=rt all that i know is that it means distance rate and time please help me! ============= I have a question on slope. also d=rt. Well, what are your questions?

Travel_Word_Problems/646694: In a water refilling station, one pipe can fill a tank in 30 min. while another pipe can fill it in 40 min. A third pipe can empty the same tank in 20 min. If all pipes are opened at the same time. in how many minutes will the tan be filled? 1 solutions Answer 405914 by Alan3354(30993)   on 2012-09-06 09:26:02 (Show Source): You can put this solution on YOUR website! In a water refilling station, one pipe can fill a tank in 30 min. while another pipe can fill it in 40 min. A third pipe can empty the same tank in 20 min. If all pipes are opened at the same time. in how many minutes will the tan be filled? ----------- one pipe can fill a tank in 30 min. Adds 1/30 of a tank per minute. ---------------- while another pipe can fill it in 40 min. Adds 1/40 of a tank per minute. ---------------- A third pipe can empty the same tank in 20 min Subtracts 1/20 of a tank per minute. ==================== Each minute, 1/30 + 1/40 - 1/20 of the tank = 4/120 + 3/120 - 6/120 = 1/120 --> 120 minutes

Surface-area/646662: what is the areaa of 4in dia and 10 ft long pipe 1 solutions Answer 405912 by Alan3354(30993)   on 2012-09-06 09:22:27 (Show Source): You can put this solution on YOUR website! what is the areaa of 4in dia and 10 ft long pipe ------------- r = 2 in h = 120 inches ---------- The area of each end is pi*r^2 = 4pi sq inches. The lateral area = 2pi*r*h LA = 2pi*2*120 sq inches = 480pi sq inches IF the 4 inches the OD of the pipe.

test/646670: Is this polynomial a prime? 9x+51w-28 I tried to do this but got nowhere. Please help. Thank you 1 solutions Answer 405911 by Alan3354(30993)   on 2012-09-06 09:14:17 (Show Source): You can put this solution on YOUR website! Is this polynomial a prime? 9x+51w-28 -------------- It is prime. If you make 9x + 51x - 28, = 60x - 28 = 4(15x-7) ---------------- 9x^2 + 51x - 18 is also prime.

Linear_Equations_And_Systems_Word_Problems/646449: The sum off three consecutive odd numbers is 177. What are the numbers? 1 solutions Answer 405861 by Alan3354(30993)   on 2012-09-05 19:53:26 (Show Source): You can put this solution on YOUR website! The sum off three consecutive odd numbers is 177. What are the numbers? ------------ (n-2) + n + (n+2) = 177 3n = 177 -------------- 177/3 = the middle number

Trigonometry-basics/646441: how do i solve this equation y=mx+b step by step 1 solutions Answer 405851 by Alan3354(30993)   on 2012-09-05 19:16:15 (Show Source): You can put this solution on YOUR website! how do i solve this equation y=mx+b step by step Solve it for what? It's solved for y as it is. To solve for x: y = mx + b mx = y-b x = (y-b)/m