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# Recent problems solved by 'nerdybill'

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 Travel_Word_Problems/469487: how long would it take to get 10 miles going 175 miles per hour1 solutions Answer 322122 by nerdybill(6948)   on 2011-07-12 09:41:02 (Show Source): You can put this solution on YOUR website!how long would it take to get 10 miles going 175 miles per hour applying the "distance formula": d = rt 10 = 175t 10/175 = t 0.0571 hours = t or 3.43 minutes = t
 Miscellaneous_Word_Problems/469478: a pipe can fill a pool in 8 hours another pipe fill in 12 hours. if both pipes are applied to fill pool than how many hours it will take???1 solutions Answer 322119 by nerdybill(6948)   on 2011-07-12 09:39:25 (Show Source): You can put this solution on YOUR website!a pipe can fill a pool in 8 hours another pipe fill in 12 hours. if both pipes are applied to fill pool than how many hours it will take??? . Let x = time (hrs) it takes for both then x(1/8 + 1/12)= 1 multiplying both sides by 96: x(12 + 8)= 96 x(20)= 96 x = 4.8 hours or x = 4 hours and 48 minutes
 Rate-of-work-word-problems/469308: can someone help me plssssssssss :)? it takes carolyn 4 hr to type a final exam. it takes Elise 3 hr to do the same job. How long would it take them, working together, to do the typing?1 solutions Answer 321958 by nerdybill(6948)   on 2011-07-11 17:40:48 (Show Source): You can put this solution on YOUR website!it takes carolyn 4 hr to type a final exam. it takes Elise 3 hr to do the same job. How long would it take them, working together, to do the typing? . Let x = time (hours) it takes for both then x(1/4 + 1/3) = 1 multiplying both sides by 12: x(3 + 4) = 12 x(7) = 12 x = 12/7 x = 1.7 hours or x = 1 hour and 43 minutes
 Length-and-distance/469155: What Is The Slope Of A Line parallel to y = -2/5x + 4/51 solutions Answer 321895 by nerdybill(6948)   on 2011-07-11 08:56:38 (Show Source): You can put this solution on YOUR website!What Is The Slope Of A Line parallel to y = -2/5x + 4/5 . Two lines are parallel if it has the same slope. because y = -2/5x + 4/5 is in "slope-intercept" form: y = mx + b we see that the slope is -2/5 . Answer: -2/5
 logarithm/468854: 2 log 1 1 solutions Answer 321672 by nerdybill(6948)   on 2011-07-10 10:10:45 (Show Source): You can put this solution on YOUR website!2 log 1 Since log(1) = 0 we have 2*0 so, the whole thing is equal to 0
 Quadratic_Equations/468702: Solve. 9x^4-18x^2+5=0 Would someone please help me solve this problem. I come up with various answers, and I know that there is only one set of answers. Thank you very much.1 solutions Answer 321579 by nerdybill(6948)   on 2011-07-09 18:05:48 (Show Source): You can put this solution on YOUR website!9x^4-18x^2+5=0 rewrite as: 9x^4-15x^2-3x^2+5=0 group terms: (9x^4-15x^2)-(3x^2-5)=0 3x^2(3x^2-5)-(3x^2-5)=0 (3x^2-5)(3x^2-1)=0 . x = {sqrt(5/3), sqrt(1/3)} rationalize denominators: x = { , }
 Exponential-and-logarithmic-functions/468582: Solve the problem. An-Mei owns a business making and selling jackets. She has a fixed cost of \$1190. It costs \$92 to produce each jacket. The selling price is \$109 per jacket. Let x represent the number of jackets produced and sold and write the cost function, C, and revenue function, R. 1 solutions Answer 321529 by nerdybill(6948)   on 2011-07-09 11:37:37 (Show Source): You can put this solution on YOUR website!An-Mei owns a business making and selling jackets. She has a fixed cost of \$1190. It costs \$92 to produce each jacket. The selling price is \$109 per jacket. Let x represent the number of jackets produced and sold and write the cost function, C, and revenue function, R. . Cost Function: C(x) = 92x + 1190 . Revenue function: R(x) = 109x - (92x + 1190) R(x) = 17x - 1190
 test/468580: Use the given conditions to write an equation for the lone in point-slope form slope=6/7, passing through (7,3)1 solutions Answer 321528 by nerdybill(6948)   on 2011-07-09 11:30:39 (Show Source): You can put this solution on YOUR website! Use the given conditions to write an equation for the lone in point-slope form slope=6/7, passing through (7,3) . "Point-slope" form is: y - y1 = m(x - x1) plugging in the given information: y - 3 = (6/7)(x - 7)
 Exponential-and-logarithmic-functions/468592: Use properties of logarithms to expand the logarithmic expression as much as possible. logb (yz5) 1 solutions Answer 321525 by nerdybill(6948)   on 2011-07-09 11:28:00 (Show Source):
 Exponential-and-logarithmic-functions/468590: Use properties of logarithms to condense the logarithmic expression. ln x + 8ln y 1 solutions Answer 321524 by nerdybill(6948)   on 2011-07-09 11:26:12 (Show Source): You can put this solution on YOUR website!ln(x) + 8ln(y) ln(x) + ln(y^8) ln(xy^8)
 Functions/468386: y = -6x + 2 is y a function of x?1 solutions Answer 321400 by nerdybill(6948)   on 2011-07-08 17:25:18 (Show Source): You can put this solution on YOUR website!Yes
 test/468412: If 3a + 4b=b which of the following must equal 6a + 6b? (a). 0 (b). 12 (c) 12b1 solutions Answer 321398 by nerdybill(6948)   on 2011-07-08 17:24:28 (Show Source): You can put this solution on YOUR website!3a + 4b=b subtracting b from both sides: 3a + 3b=0 multiplying both sides by 2: 6a + 6b=0 . Answer: 'a'
 Graphs/468407: Write the slope intercept equation for the line that passes through (-9,-5) and has a slope of 2/9. 1 solutions Answer 321394 by nerdybill(6948)   on 2011-07-08 17:14:29 (Show Source): You can put this solution on YOUR website!Write the slope intercept equation for the line that passes through (-9,-5) and has a slope of 2/9. . use "point-slope" form: y - y1 = m(x - x1) y - (-5) = (2/9)(x - (-9)) y + 5 = (2/9)(x + 9) y + 5 = (2/9)x + 2 y = (2/9)x + 2 - 5 y = (2/9)x - 3
 logarithm/468369: ln(2x-3)=4 round to nearest thousandth1 solutions Answer 321384 by nerdybill(6948)   on 2011-07-08 15:47:48 (Show Source): You can put this solution on YOUR website!ln(2x-3)=4 2x-3=e^4 2x=e^4 + 3 x = (e^4 + 3)/2 x = 28.799
 test/468387: Please help me find the domain of this function 1 solutions Answer 321383 by nerdybill(6948)   on 2011-07-08 15:45:59 (Show Source): You can put this solution on YOUR website!The domain specifies all values that makes sense for 'x'. You only have to eliminate numbers that drives the denominator to zero. x^2+x-6 = 0 (x-3)(x+2) = 0 x = {-2,3} (these are the numbers that must be eliminated) . thus the domain (in interval notation) is (-oo, -2) U (-2,3) U (3, +oo) where oo is infinity
 test/468231: A builder is building a rectangular deck with dimensions of 16 feet by 30 feet. To ensure that the sides form 90 degree angles, what should each diagonal measure? (A). 30ft. (B). 34ft. (C). 46ft. (D). 16ft1 solutions Answer 321311 by nerdybill(6948)   on 2011-07-08 10:32:20 (Show Source): You can put this solution on YOUR website!apply Pythagorean theorem Let d = diagonal then d^2 = 16^2 + 30^2 d^2 = 256 + 900 d^2 = 1156 d = 34 feet
 Angles/468255: the supplement of an angle is 6 times its complement. Find an angle ? 1 solutions Answer 321289 by nerdybill(6948)   on 2011-07-08 08:50:43 (Show Source): You can put this solution on YOUR website!the supplement of an angle is 6 times its complement. Find an angle ? . Let x = the angle then 90-x = the complement 180-x = the supplement . 180-x = 6(90-x) 180-x = 540-6x 180+5x = 540 5x = 360 x = 72 degrees
 Coordinate-system/468070: Is there a difference between no slope and an undefined slope of a straight line? If so,then what is it?1 solutions Answer 321144 by nerdybill(6948)   on 2011-07-07 14:17:43 (Show Source): You can put this solution on YOUR website!"no slope" describes a horizontal line whereaas "undefined slope" describes a vertical line
 Problems-with-consecutive-odd-even-integers/467653: I am thinking of two consecutive even integers. The sum of their squares is 340. what are the integers? PLEASE HELP!1 solutions Answer 320886 by nerdybill(6948)   on 2011-07-06 14:14:42 (Show Source): You can put this solution on YOUR website!I am thinking of two consecutive even integers. The sum of their squares is 340. what are the integers? . Let x = first of two consecutive even integers then x+2 = second even integer . x^2 + (x+2)^2 = 340 x^2 + (x+2)(x+2) = 340 x^2 + x^2+4x+4 = 340 2x^2+4x+4 = 340 x^2+2x+2 = 170 x^2+2x-168 = 0 (x+14)(x-12) = 0 x = {-14, 12} . solution: the two integers are 12 and 14 or -12 and -14
 Polynomials-and-rational-expressions/467658: is y²−5y-24 factorable?1 solutions Answer 320884 by nerdybill(6948)   on 2011-07-06 14:11:00 (Show Source): You can put this solution on YOUR website!Yes. (y-8)(y+3)
 Miscellaneous_Word_Problems/467569: A 2005 Honda minivan can travel 240 miles in the city on 4 gallons of gas. Find the amount of gas required for 360 miles of city driving. (hint: use a proportion).1 solutions Answer 320861 by nerdybill(6948)   on 2011-07-06 12:40:06 (Show Source): You can put this solution on YOUR website!A 2005 Honda minivan can travel 240 miles in the city on 4 gallons of gas. Find the amount of gas required for 360 miles of city driving. (hint: use a proportion). . Let x = amt of gas (gallons) used to drive 360 miles then 240/4 = 360/x cross multiplying: 240x = 4(360) 240x = 1440 x = 6 gallons
 Angles/467561: An angle is equal to eight times its complement. Determine its measure. Let x be the angle then 90-x is its complement. Therefore,x = 8(90-x) x = 720-8x x+8x = 720 9x = 720 x = 720/9 x = 80. 1 solutions Answer 320828 by nerdybill(6948)   on 2011-07-06 10:02:05 (Show Source): You can put this solution on YOUR website!An angle is equal to eight times its complement. Determine its measure. . Let x = the angle then 90-x = complement of angle . x = 8(90-x) x = 720-8x 8x = 720 x = 90 degrees
 Triangles/467557: What is the area of a rectangle measuring 25 ft long by 8 ft wide?1 solutions Answer 320827 by nerdybill(6948)   on 2011-07-06 09:59:41 (Show Source): You can put this solution on YOUR website!25 * 8 = 200 square feet
 decimal-numbers/467515: what does exact mean?1 solutions Answer 320820 by nerdybill(6948)   on 2011-07-06 08:54:20 (Show Source): You can put this solution on YOUR website!It means that you leave your answer in the form of a fraction or radicals (square root symbol) -- instead of a decimal answer.
 Travel_Word_Problems/467154: An Airplane travels in 5hrs. with a speed of 50km/hr. How far does it travel? 1 solutions Answer 320623 by nerdybill(6948)   on 2011-07-05 15:27:14 (Show Source): You can put this solution on YOUR website!An Airplane travels in 5hrs. with a speed of 50km/hr. How far does it travel? . Distance formula: d = rt d = 50*5 d = 250 km
 Pythagorean-theorem/466699: the diagonal of a square is 24 centimeter.how long is the side of the square/ 1 solutions Answer 320093 by nerdybill(6948)   on 2011-07-03 16:35:41 (Show Source): You can put this solution on YOUR website!the diagonal of a square is 24 centimeter.how long is the side of the square . apply Pythagorean theorem: Let x = length of side of square then x^2 + x^2 = 24 2x^2 = 24 x^2 = 12 x = sqrt(12) x = sqrt(2*2*3) x = 2*sqrt(3) centimeters (exact answer) . Or, decimal approx: x = 3.46 centimeters
 Polynomials-and-rational-expressions/466814: the question states, simpify be removing factors of 1. 9-z/z-9. this is what i got, (z+3)^2. i dont know if it is right so i was asking for some help please. thank you.1 solutions Answer 320089 by nerdybill(6948)   on 2011-07-03 16:21:59 (Show Source): You can put this solution on YOUR website!(9-z)/(z-9) notice if I factor out a -1 from the numerator I get: -1(-9+z)/(z-9) then, if I reorder the terms inside the parenthesis: -1(z-9)/(z-9) Now, I can cancel like-terms leaving: -1
 Graphs/466574: Hello and thank you so much for your help.I got this function 7-6x-x^2=0 it's a parabola that crosses the x-axis on the points -7.0 and 1.0, the vertex it's at the point (-3.0,16). I need to find the equation of the axis of symmetry for this parabola. Thank you again and have a happy 4th of July.1 solutions Answer 319891 by nerdybill(6948)   on 2011-07-02 15:17:05 (Show Source): You can put this solution on YOUR website! Hello and thank you so much for your help.I got this function 7-6x-x^2=0 it's a parabola that crosses the x-axis on the points -7.0 and 1.0, the vertex it's at the point (-3.0,16). I need to find the equation of the axis of symmetry for this parabola. Thank you again and have a happy 4th of July. . You can derive the axis of symmetry from the vertex and "inspecting" the original equation. First, Determine whether it is a "vertical" or a "horizontal" parabola. If your equation has a x^2 term -- it is a "vertical" parabola. Second, Once you know this, then you can simply use the x-coordinate of the vertex. So, the axis of symmetry is then x = -3 (vertical line crossing the x-axis at -3) . Note: the axis of symmetry is also derived by: -b/(2a) where 'a' and 'b' are the coefficients of the original equation
 test/466389: ab= 6b + cd (Solve for a)1 solutions Answer 319797 by nerdybill(6948)   on 2011-07-01 22:59:09 (Show Source): You can put this solution on YOUR website!ab= 6b + cd (Solve for a) divide both sides by b: (ab)/b= (6b + cd)/b a = (6b + cd)/b a = 6 + cd/b
 Probability-and-statistics/466368: there are 9 books 55% of 9 books are out,how many are left? solve this problem using a proportion show all steps.and explain1 solutions Answer 319736 by nerdybill(6948)   on 2011-07-01 18:47:14 (Show Source): You can put this solution on YOUR website! there are 9 books 55% of 9 books are out,how many are left? solve this problem using a proportion show all steps.and explain . since 55% are out 100-55 = 45% are left . Let x = books left then x/9 = 45/100 (this is your proportion) cross multiplying: 100x = 9*45 100x = 405 x = 4.05 since you can't have fractional book, you have to round down: there are 4 books left
 Travel_Word_Problems/466408: How many hours will it take to travel 130 miles at 70 miles per hour?1 solutions Answer 319734 by nerdybill(6948)   on 2011-07-01 18:40:53 (Show Source): You can put this solution on YOUR website! How many hours will it take to travel 130 miles at 70 miles per hour? Apply the "distance formula" d = rt where d is 130 r is 70 . 130 = (70)t 130/70 = t 1.86 hours = t or 1 hour and 51 minutes