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Recent problems solved by 'stanbon'

stanbon answered: 57146 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149, >>Next

Complex_Numbers/110761: Can you figure this out for me! 1. Factor -9w+9u-tw-+ut 2. Factor 6b^4/5c^4d^2/3ab^3/15c^2d 3. x sqrt.80xw^2+5wsqrt.5x^3 1 solutions Answer 80741 by stanbon(57214)   on 2007-11-16 22:16:42 (Show Source): You can put this solution on YOUR website! 1. Factor -9w+9u-tw-+ut -9(w-u)+t(w-u) (w-u)(t-9) --------------------- 2. Factor 6b^4/5c^4d^2/3ab^3/15c^2d Invert the denominator and multiply: [6b^4 / 5c^4d^2] * [15c^2d / 3ab^3] Cancel factors tht are comon a numerator and a denominator like 3,5,c^2, b^3, d = [ 6b / c^2d ] * [1/a] = [6b/ac^2d] ------------------------------ 3. xsqrt(80xw^2) + 5wsqrt(5x^3) = 4xw sqrt(5x) + 5xw sqrt(5x) = 9xw sqrt(5x) =================== Cheers, Stan H.

Linear-equations/110753: Adult tickets for a play cost $14 and child tickets cost $4. If there were 28 people at a performance and the theater collected $242 from ticket sales, how many children attended the play? Solve this problem using algebraic equations. Thank you. 1 solutions Answer 80725 by stanbon(57214)   on 2007-11-16 20:58:29 (Show Source): You can put this solution on YOUR website! Adult tickets for a play cost $14 and child tickets cost $4. If there were 28 people at a performance and the theater collected $242 from ticket sales, how many children attended the play? Solve this problem using algebraic equations. --------------------- Let # of adult tickets be "x" ; Value of these is 14x dollars --------------------- # of child tickets is "28-x" ; value of these is 4(28-x) = 112-4x dollars ----------------------- EQUATION: value + value = 242 dollars 14x + 112-4x = 242 10x = 130 x = 13 (# of adult tickets sold) 28-x = 15 (# of child tickets sold) =============== Cheers, Stan H.

Linear-equations/110759: WRite the equation of the line passing through (4,-25) and (-3, 17). Thank you. 1 solutions Answer 80718 by stanbon(57214)   on 2007-11-16 20:53:30 (Show Source): You can put this solution on YOUR website! WRite the equation of the line passing through (4,-25) and (-3, 17). -------------- slope = [-25-17]/[4--3] = -42/7 = -6 ------------------ Use y=mx+b and substitute to find "b". -25 = 6*4 + b b = -49 -------------- EQUATION: y = 6x -49 ================ Cheers, Stan H.

Linear-equations/110758: The equation y = 10x - 50 describes the amount of money a class of students might earn from candy bar sales. What are the slope and y-intercept of this line? Thank you. 1 solutions Answer 80715 by stanbon(57214)   on 2007-11-16 20:49:24 (Show Source): You can put this solution on YOUR website! y = 10x - 50 slope = 10; y-intercept = -50 =============== Cheers, Stan H.

Functions/110754: I'm having problems with finding the domain for rational funtions. (R(x)=2x^2-3)/4x 1 solutions Answer 80713 by stanbon(57214)   on 2007-11-16 20:48:00 (Show Source): You can put this solution on YOUR website! I'm having problems with finding the domain for rational funtions. R(x)= (2x^2-3)/4x ---------------------------- Domain is "All Real Numbers" unless there is some reason for it to be restricted. ------------------------ Your Problem: The denominator cannot be zero So, the Domain is "All Real Numbers except x=0". ================== Cheers, Stan H.

Quadratic_Equations/110695: Graph each function. First find the Vertex and Axis of Symmetry: 1. f(x)=-x^2+x-1 2. g(x)=2x^2+4x-1 3. y=x^2+10x+25 thank you 1 solutions Answer 80711 by stanbon(57214)   on 2007-11-16 20:44:33 (Show Source): You can put this solution on YOUR website! Graph each function. First find the Vertex and Axis of Symmetry: 1. f(x)=-x^2+x-1 -x^2+x = y+1 Complete the square on the x-terms. -(x^2-x+(1/2)^2) = y+1-(1/2)^2 -(x-(1/2))^2 = y + (5/4) -------------------------- Axis of Symmetry: x=1/2 Vertex: ((1/2),(-5/4)) Graph: ----------------------------- 2. g(x)=2x^2+4x-1 2x^2+4x = y+1 2(x^2+2x+1) = y+1+2 2(x+1)^2 = y+3 ------------ Axis of Sym: x=-1 Vertex: (-1,-3) Graph: ----------------------------------- 3. y=x^2+10x+25 (x+5)^2 = y -------- Vertex: (-5,0) Axis of Sym: x=-5 ======================== Cheers, Stan H.

Polynomials-and-rational-expressions/110707: Show all stages of factoring separately (i.e., show the result of factoring out a GCF before taking the resulting polynomial and factoring it again). Factor completely: x3 – 26x2 + 48x 1 solutions Answer 80704 by stanbon(57214)   on 2007-11-16 20:33:19 (Show Source): You can put this solution on YOUR website! Factor completely: x^3 – 26x^2 + 48x = x(x^2-26x+48) = x(x-24)(x-2) ==================== Cheers, Stan H.

Polynomials-and-rational-expressions/110708: Factor completely: x2 – 6wy + 3xy – 2wx 1 solutions Answer 80703 by stanbon(57214)   on 2007-11-16 20:31:02 (Show Source): You can put this solution on YOUR website! Factor completely: x2 – 6wy + 3xy – 2wx Rearrange: x^2-2wx + 3xy-6wy Factor the 1st two and the last two terms separately: x(x-2w) + 3y(x-2w) Factor again: (x-2w)(x+3y) =============== Cheers, Stan H.

Trigonometry-basics/110711: Science and technology. Fungicides account for 1/10 of the pesticides used in the United States. Insecticides account for 1/4 of all the pesticides used in the United States. The ratio of fungicides to insecticides used in the United States can be written 1/10 divided by 1/4. Write this ratio in simplest form. 1 solutions Answer 80702 by stanbon(57214)   on 2007-11-16 20:26:48 (Show Source): You can put this solution on YOUR website! 1/10 divided by 1/4. Write this ratio in simplest form. -------------- (1/10)/(1/4) Invert the denominator and multiply: (1/10) * (4/1) = 4/10 = 2/5 ================= Cheers, Stan H.

Linear-equations/110717: Find the x- and y- intercepts: 4x-2y=12 This is how I worked the problem but don't think I did something right. 4x-2y=12 4x-2y=12 4x-2(0)=12 4(0)-2y=12 4x=12 2y=12 x=2 y=-4 (2,0) (0,-4) 1 solutions Answer 80701 by stanbon(57214)   on 2007-11-16 20:24:01 (Show Source): You can put this solution on YOUR website! Find the x- and y- intercepts: 4x-2y=12 ---------------------------- To find the x-intercept, let y = 0. You get 4x-0=12 x = 3 x-intercept is (3,0) ---------------------------- To find the y-intercept, let x = 0. You get 0-2y=12 y = -6 y-intercept is (0,-6) ======================== Cheers, Stan H.

Linear-equations/110728: The cost of a rental car is $24 per day plus 10 cents per mile. Write a linear equation to describe the cost of renting a car for one day in terms of the number of miles driven. 1 solutions Answer 80700 by stanbon(57214)   on 2007-11-16 20:20:37 (Show Source): You can put this solution on YOUR website! The cost of a rental car is $24 per day plus 10 cents per mile. Write a linear equation to describe the cost of renting a car for one day in terms of the number of miles driven. --------------- Let "x" be the number of miles driven. EQUATION: Cost(x) = 0.10x + 24 ==================== Cheers, Stan H.

Polynomials-and-rational-expressions/110729: Show all stages of factoring separately. Factor completely: x2 – 5x – 14 1 solutions Answer 80699 by stanbon(57214)   on 2007-11-16 20:17:41 (Show Source): You can put this solution on YOUR website! Factor completely: x^2 – 5x – 14 = (x-7)(x+2) ================ Cheers, Stan H.

Linear-equations/110733: Find the equation of the line that contains the point (1,-2) and is perpendicular to the line y=-3/4x+2 1 solutions Answer 80698 by stanbon(57214)   on 2007-11-16 20:15:47 (Show Source): You can put this solution on YOUR website! Find the equation of the line that contains the point (1,-2) and is perpendicular to the line y=-3/4x+2 ----------------- If it is perpendicular to y=(-3/4)x+2 it has a slope of 4/3 --------------------- Use y=mx+b and substitute to find "b": -2 = (4/3)*1+b b = -2-(4/3) b = -10/6 = -5/3 ============== Cheers, Stan H.

Radicals/110734: (6x+2)^1/3 - 4 = 3 1 solutions Answer 80697 by stanbon(57214)   on 2007-11-16 20:11:47 (Show Source): You can put this solution on YOUR website! (6x+2)^1/3 - 4 = 3 (6x+2)^(1/3) = 7 Cube both sides to get: 6x+2 = 343 6x = 341 x = 56 5/6 ================ Cheers, Stan H.

Miscellaneous_Word_Problems/110735: This question is from textbook alegebra2 This is a word problem involving linear programming. The problem is:You have 180 tomatoes and 15 onions left over from your garden. you want to use these to make jars of tomato sauce and jars of salsa to sell at a farmstand. a jar of tomato sauce requires 10 tomatoes and 1 onion. a jar of salsa requires 5 tomatoes and 1/4 onion. you'll make a profit of $2 on ever jar of tomato sauce sold and a profit of $1.50 on every jar of salsa sold. the farm stand wants at least three time as many jars of tomato sauce as many jars of salsa. how many jars of each should you make to maximize the profit? I tried the problem but the part about three times as many jars of tomato sauce threw me off.I was able to come up with the objective function of P=2t+1.50s with constraints: t=>0 s=>0 10t+5s<=180 1t+1/4s<=15 I graphed it and found the feasible region but i dont think its right becuase i don't know what to do with the 3 times as many tomato sauce as salsa. I dont know how to include this. I dont know if it is added as an inequality or divide or part of the objective function. i need help please? 1 solutions Answer 80696 by stanbon(57214)   on 2007-11-16 20:08:46 (Show Source): You can put this solution on YOUR website! i don't know what to do with the 3 times as many tomato sauce as salsa. ------------------ t = 3s Graph t-3s=0 ================== Cheers, Stan H.

Rational-functions/110739: Find The Sum or Difference. 20.8/15 = (-2/5) Any help with this equation would be GREATLY 1 solutions Answer 80695 by stanbon(57214)   on 2007-11-16 20:05:12 (Show Source): You can put this solution on YOUR website! It's not an equation; there is no variable. Cheers, Stan H.

Equations/110738: Simplify the Expression 19.26/15n + (-8/15n) Any help this equation would be GREALTY appreciated. 1 solutions Answer 80694 by stanbon(57214)   on 2007-11-16 20:04:00 (Show Source): You can put this solution on YOUR website! 26/15n + (-8/15n) = (16/15)n ===================== Cheers, Stan H.

Radicals/110615: cube root of {6g^7h} * cube root of {9h} 1 solutions Answer 80664 by stanbon(57214)   on 2007-11-16 16:20:29 (Show Source): You can put this solution on YOUR website! cube root of {6g^7h} * cube root of {9h} ---------- cubrt[54g^7h^2] = cubrt[27g^6*2gh^2] = 3g^2*cubrt(2gh^2) ================ Cheers, Stan H.

Inequalities/110621: Please Help me with this one to, "Which Inequality is true? - If x=3.04/1.48, y=1.99 to .33, and 2=(1,3)^3 1 solutions Answer 80663 by stanbon(57214)   on 2007-11-16 16:17:09 (Show Source): You can put this solution on YOUR website! That doesn't make any sense. Cheers, Stan H.

Polynomials-and-rational-expressions/110614: If f(x)= sqrt{64(x-7)^2} , find a simplified form for f(x) 1 solutions Answer 80662 by stanbon(57214)   on 2007-11-16 16:14:04 (Show Source): You can put this solution on YOUR website! If f(x)= sqrt{64(x-7)^2} , find a simplified form for f(x) ----------- f(x) = 8(x-7) f(x) = 8x-56 ================ Cheers, Stan H.

Polynomials-and-rational-expressions/110625: Factor completely. 125y^3 + z^3 1 solutions Answer 80661 by stanbon(57214)   on 2007-11-16 16:12:06 (Show Source): You can put this solution on YOUR website! Factor completely. 125y^3 + z^3 ------------------ (5y)^3 + z^3 = (5y+z)((5y)^2 -(5y)(z) +(z)^2 = (5y+3)(25y^2 -5yz + z^2) ============================================== Cheers, Stan H.

Linear-equations/110631: how do i plot the following points on a rectangular coordinate system (-3,-2) (-1,0) (1,2) if you were to connect these points with a line, where would the y-intercept be located? give answer in (x,y) form. 1 solutions Answer 80657 by stanbon(57214)   on 2007-11-16 16:04:35 (Show Source): You can put this solution on YOUR website! (-3,-2) (-1,0) (1,2) if you were to connect these points with a line, where would the y-intercept be located? --------------- Pick a couple of points and find the equation of the line thru them. Using (1,2) and (-1,0) --------------- slope = [2-0]/[1--1] = 2/2 = 1 ------------- Form y=mx+b Substitute to find "b": 2 = 1*1+b b = 1 EQUATION: y = x+1 -------------------------- The y-intercept is (0,1) ====================== Cheers, Stan H.

Linear-systems/110680: y=1/3x + 2/3 y=5/7x-2 1 solutions Answer 80653 by stanbon(57214)   on 2007-11-16 15:56:24 (Show Source): You can put this solution on YOUR website! y=1/3x + 2/3 y=5/7x - 2 ------------ (1/3)x+(2/3) = (5/7)x-2 [(5/7)-(1/3)]x = (2/3)+2 (8/21)x = 8/3 x = (8/3)(21/8) x = 7 ------------- Substitute into y = (1/3)x+(2/3) to solve for "y": y = (1/3)*7+2/3 = 9/3 = 3 =================== Cheers, Stan H.

decimal-numbers/110639: Find the decimal equivalent for the following fraction 33/40 1 solutions Answer 80649 by stanbon(57214)   on 2007-11-16 15:48:42 (Show Source): You can put this solution on YOUR website! Find the decimal equivalent for the following fraction 33/40 33/40 = 0.825 ================ Cheers, Stan H.

Numeric_Fractions/110644: Write the following as a common fraction or mixed number. Write your answer in the lowest terms. 6.38 Find the decimal equivalent of the mixed number 11 1/4 Write in decimal form 481 1,000 1 solutions Answer 80647 by stanbon(57214)   on 2007-11-16 15:45:15 (Show Source): You can put this solution on YOUR website! Write the following as a common fraction or mixed number. Write your answer in the lowest terms. 6.38 6 19/50 ------------ Find the decimal equivalent of the mixed number 11 1/4 11.25 ----------------- Write in decimal form 481/1000 = 0.481 ======================= Cheers, Stan H.

Probability-and-statistics/110209: Rashawn bought a CD that cost $18.99 and paid $20.51, including sales tax. what was the rate of sales tax? 1 solutions Answer 80646 by stanbon(57214)   on 2007-11-16 15:34:14 (Show Source): You can put this solution on YOUR website! Rashawn bought a CD that cost $18.99 and paid $20.51, including sales tax. what was the rate of sales tax? -------------------- Amount change: 20.51-18.90 = 1.61 Percent change: 1.61/18.90 = 0.085 = 8 1/2 % ===================== Cheers, Stan H.

Miscellaneous_Word_Problems/110681: the cost of 5 boxes of envelopes and boxes of note paper is $25.95. Two boxes of enveiopes and 6 boxes of note paper cost $22.38. Find the cost of each box of envelopes and each box of note paper. 1 solutions Answer 80644 by stanbon(57214)   on 2007-11-16 15:24:38 (Show Source): You can put this solution on YOUR website! the cost of 5 boxes of envelopes and boxes of note paper is $25.95. Two boxes of enveiopes and 6 boxes of note paper cost $22.38. Find the cost of each box of envelopes and each box of note paper. ------------- Let cost of box of envelopes be "e"; Let cost of box of notes be "n". EQUATIONS: 5e + ?n = 25.95 2e + 6n = 22.38 ------------------- Comment: # of boxes of note pater in 1st sentence is missing. ================ Cheers, Stan H.

Equations/110683: The problem: Find two numbers whose sum is 44 and whose difference is 22 I already know the answer - I had no problem figuring it out. What I need to see is the proper way to solve it. I got the answers 33 and 11. This is how I started it: x + y = 44 x - y = 22 x = 22 + y and x = 44 - y .....what next? I plugged numbers in until I found the answer but there must be an easier way? 1 solutions Answer 80642 by stanbon(57214)   on 2007-11-16 15:20:56 (Show Source): You can put this solution on YOUR website! x + y = 44 x - y = 22 ------------ Add the two equations to get: 2x = 66 x = 33 ---------- Substitute into x+y=44 to solve for y: 33+y = 44 y = 11 ============== Cheers, Stan H.

Miscellaneous_Word_Problems/110685: solve and graph he solution set. 3(x-4)>7x-9 1 solutions Answer 80641 by stanbon(57214)   on 2007-11-16 15:18:14 (Show Source): You can put this solution on YOUR website! 3(x-4)>7x-9 3x-12 > 7x-9 4x < -3 x < -3/4 ------------- Draw a number line. Label a point x=(-3/4) Draw a circle around it. ---------------------- Draw an arrow to the left from the circled point. That is the graph you want. ================== Cheers, Stan H.

Linear-equations/110678: i was asked to find the x intercept and y intercept for the following equation and then graph it... y=4x after working it out, i came up with x intercept=0 and y intercept=0..i dont know what to do after that...how would i be able to graph this problem?? 1 solutions Answer 80636 by stanbon(57214)   on 2007-11-16 14:07:04 (Show Source): You can put this solution on YOUR website! y=4x ------- Plot two points and draw a line thru them. You already have point (0,0) Let x= 1, then y = 4 giving point (1,4) ---------------------- Cheers, Stan H.

Complex_Numbers/110652: Graph the system and solve: y=2^(x-4) +1 and y=2sqrt(x) i graphed the system but i do not know how to solve it. 1 solutions Answer 80635 by stanbon(57214)   on 2007-11-16 14:04:30 (Show Source): You can put this solution on YOUR website! Graph the system and solve: y=2^(x-4) +1 y=2sqrt(x) --------------- Using a TI calculator, I graphed both functions and found their point of intersection to be: x=5.9564982..; y = 4.8811876... ===================== Cheers, Stan H.