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# Recent problems solved by 'Alan3354'

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 Problems-with-consecutive-odd-even-integers/234867: The total number of medals won by athletes in each of the countries A, B, C, and D are four consective integers whose sum is 50. Find the number of metals for each country1 solutions Answer 173203 by Alan3354(31537)   on 2009-11-04 10:39:39 (Show Source): You can put this solution on YOUR website!The total number of medals won by athletes in each of the countries A, B, C, and D are four consective integers whose sum is 50. Find the number of metals for each country ------------------ 50/4 = 12.5 2 numbers are below 12.5 and 2 are above. 11, 12, 13, 14
 test/234989: A race car can be slowed with a constant acceleration of -11 m/s2 a) If the car is going 55 m/s, how many meters will it travel before it stops?1 solutions Answer 173202 by Alan3354(31537)   on 2009-11-04 10:33:20 (Show Source): You can put this solution on YOUR website!A race car can be slowed with a constant acceleration of -11 m/s2 a) If the car is going 55 m/s, how many meters will it travel before it stops? ------------- It will take 5 seconds to stop. Its average speed for that 5 seconds is 55/2 = 27.5 meters 5*27.5 = 137.5 meters
 Complex_Numbers/234977: prove 2^6cos^4teta(angle)sin^3teta(angle)=-sin7teta(angle)-sin5teta(angle)+3sin3teta(angle) 3sinteta(angle).1 solutions Answer 173193 by Alan3354(31537)   on 2009-11-04 09:24:40 (Show Source): You can put this solution on YOUR website! prove 2^6cos^4teta(angle)sin^3teta(angle)=-sin7teta(angle)-sin5teta(angle)+3sin3teta(angle) 3sinteta(angle). ------------ That's not clear or decipherable. 2^6cos^4 ???
 Money_Word_Problems/234985: if three cans of corn cost you \$8.00 how much will one gross cost you? what dose gross mean?1 solutions Answer 173191 by Alan3354(31537)   on 2009-11-04 09:22:12 (Show Source): You can put this solution on YOUR website!if three cans of corn cost you \$8.00 how much will one gross cost you? what dose gross mean? ------------- A gross is 12 dozen, = 144, continuing the American tradition of using tedious units of measure, like inches, feet, yards, ounces, fluid ounces, pounds, etc. ------------ Anyway, at \$8 for 3, 144 is 48 times as many, so they'll cost \$8 times 48 = \$384 ------------ You should ask for a quantity discount.
 Number-Line/234983: 1-2 + 3 -4 + ....-98 + 99 equals a) -50 b) -49 c) 0 d) 49 e) 501 solutions Answer 173188 by Alan3354(31537)   on 2009-11-04 09:19:28 (Show Source): You can put this solution on YOUR website!1-2 + 3 -4 + ....-98 + 99 equals a) -50 b) -49 c) 0 d) 49 e) 50 ---------------- There are 99 numbers. Put them in pairs, 1+99 = 100 -2-98 = -100 ... 49+51 = 100 It's all even, at zero, to this point Then the -50 has nothing to pair with --> = -50
 logarithm/227794: I need to solve this problem log5x/logx= 3 could you please help me solve this equation thank you very much, viki1 solutions Answer 173123 by Alan3354(31537)   on 2009-11-03 22:11:43 (Show Source): You can put this solution on YOUR website!log5x/logx= 3 -------------- log(5x) = 3log(x) log(5x) = log(x^3) x^3 = 5x x^3 - 5x = 0 x(x^2-5) = 0 x = 0 0 is not allowed ----------------- x = +sqrt(5) ------------ -sqrt(5) is not allowed due to the log function
 Equations/231753: change 37.92 degrees to radian measure to the nearest thousandth1 solutions Answer 173122 by Alan3354(31537)   on 2009-11-03 22:07:57 (Show Source): You can put this solution on YOUR website! change 37.92 degrees to radian measure to the nearest thousandth = 37.92*pi/180 = 0.662 radians
 logarithm/226908: Solve 4^x + ^1 = 131 solutions Answer 173121 by Alan3354(31537)   on 2009-11-03 22:06:46 (Show Source): You can put this solution on YOUR website!Solve 4^x + ^1 = 13 --------- What does ^1 mean?
 logarithm/234830: I need help with this I do not understand what I need to do. Rewrite each equation in exponential form. 1)log6 36=2 2)log289 17=1/2 3)log14 1/196=-2 4)log3 81=41 solutions Answer 173120 by Alan3354(31537)   on 2009-11-03 22:05:03 (Show Source): You can put this solution on YOUR website!Rewrite each equation in exponential form. 1)log6 36=2 ----------------- 2)log289 17=1/2 or -------------- 3)log14 1/196=-2 ------------------- 4)log3 81=4
 Expressions-with-variables/234295: how do I solve 9(19x-4)=3x1 solutions Answer 173118 by Alan3354(31537)   on 2009-11-03 21:52:54 (Show Source): You can put this solution on YOUR website!how do I solve 9(19x-4)=3x ---------- 9(19x-4)=3x Get rid of the parentheses 171x - 36 = 3x Get all the x terms on one side. Subtract 3x from both sides 168x - 36 = 0 Add 36 168x = 36 Divide by 168 x = 36/168 x = 3/14
 Coordinate-system/234876: what is the equation of the line that has a slope of 3 and passes through the point (9,-11)?1 solutions Answer 173116 by Alan3354(31537)   on 2009-11-03 21:50:09 (Show Source): You can put this solution on YOUR website!I just did one like that. ------------- Do it like this one: what is the equation of the line that has a slope of 6 and passes through the point (5,-12)? ------------- Use y = mx + b to find b -12 = 6*5 + b b = -42 --------- y = 6x -42
 Coordinate-system/234871: what is the equation of the line that has a slope of 6 and passes through the point (5,-12)?1 solutions Answer 173114 by Alan3354(31537)   on 2009-11-03 21:47:03 (Show Source): You can put this solution on YOUR website!what is the equation of the line that has a slope of 6 and passes through the point (5,-12)? ------------- Use y = mx + b to find b -12 = 6*5 + b b = -42 --------- y = 6x -42
 Linear-equations/234818: write the slope-intercept form of the equation of each line 3x-2y= -161 solutions Answer 173113 by Alan3354(31537)   on 2009-11-03 21:42:36 (Show Source): You can put this solution on YOUR website!write the slope-intercept form of the equation of each line 3x-2y= -16 ----------- That means solve for y 3x-2y= -16 2y = 3x + 16 y = (3/2)x + 8
 Trigonometry-basics/234853: i need help: find sin theta if cos theta equals two thirds and theta is in quadrant four. 1 solutions Answer 173112 by Alan3354(31537)   on 2009-11-03 21:40:39 (Show Source): You can put this solution on YOUR website!find sin theta if cos theta equals two thirds and theta is in quadrant four. ----------- cos = sqrt(1 - sin^2) = ħsqrt(5/9) (ħ depending on quadrant) In Q4, cos is +, so cos(theta) = sqrt(5)/3
 Geometry_proofs/234739: please help me solve this proof The formula learned for slope is m= y2-y1/x2-x1. use an algebraic proof to show that the slope can be claculated using the equation m= y1-y2/x1-x21 solutions Answer 173090 by Alan3354(31537)   on 2009-11-03 19:58:23 (Show Source): You can put this solution on YOUR website!The formula learned for slope is m= y2-y1/x2-x1. use an algebraic proof to show that the slope can be claculated using the equation m= y1-y2/x1-x2 ------------- y1-y2 = -(y2-y1) Same with the x terms It's both NUM and DEN times -1, which is no change.
 Systems-of-equations/234787: I see i can submit up to 4 problems so here is my 2nd one: Solve for T w=a^2/T1 solutions Answer 173087 by Alan3354(31537)   on 2009-11-03 19:55:14 (Show Source): You can put this solution on YOUR website!Solve for T w=a^2/T wT = a^2 T = a^2/w
 Linear-systems/234786: I am not having a good week where the math problems are concerned. Here it is; Solve for S 1/R=1/S+1/T I am very lost, help...1 solutions Answer 173086 by Alan3354(31537)   on 2009-11-03 19:54:26 (Show Source): You can put this solution on YOUR website!Solve for S 1/R=1/S+1/T -------------- 1/s = 1/r - 1/t 1/s = (t-r)/rt s = rt/(t-r)
 Graphs/234655: y = x + 21 solutions Answer 173076 by Alan3354(31537)   on 2009-11-03 19:25:38 (Show Source): You can put this solution on YOUR website!Do you have a question?
 Exponents/234669: what is negative 5 to the 5th power times negative 5 to the negative 2nd power1 solutions Answer 173074 by Alan3354(31537)   on 2009-11-03 19:22:34 (Show Source): You can put this solution on YOUR website!what is negative 5 to the 5th power times negative 5 to the negative 2nd power ----------- Add exponents when you multiply = (-5)^7 = -78125
 Geometry_proofs/234599: Find the value of x so that angleABC is a right angle, given the following coordinates : A(x,7) B(-3,x) C(-1,0)1 solutions Answer 173003 by Alan3354(31537)   on 2009-11-03 16:11:46 (Show Source): You can put this solution on YOUR website!Find the value of x so that angleABC is a right angle, given the following coordinates : A(x,7) B(-3,x) C(-1,0) ------------------ AB is perpendicular to BC. slope of AB = (7-x)/(x+3) slope of BC = x/(-3+1) = -x/2 ------------- the slopes are negative inverses (x+3)/(7-x) = x/2 2(x+3) = x(7-x) -x^2 + 7x = 2x + 6 x^2 - 5x + 6 = 0 x = 2 x = 3
 test/234551: divide 2x^2 over 5 divided by x^3 over 251 solutions Answer 172984 by Alan3354(31537)   on 2009-11-03 15:02:13 (Show Source): You can put this solution on YOUR website!divide 2x^2 over 5 divided by x^3 over 25 ------------- Invert the 2nd fraction and multiply = = = 10/x
 test/234546: Simplify 12x^2y over 4x^9y1 solutions Answer 172983 by Alan3354(31537)   on 2009-11-03 14:56:59 (Show Source): You can put this solution on YOUR website!Simplify 12x^2y over 4x^9y ------------ What did you try? Cancel the 4 = Cancel the y = Divide NUM and DEN by x^2 =
 test/234547: Simplify 7-m over m-71 solutions Answer 172982 by Alan3354(31537)   on 2009-11-03 14:51:55 (Show Source): You can put this solution on YOUR website!Simplify 7-m over m-7 -------- 7-m = -(m-7) So it's -1.
 Exponential-and-logarithmic-functions/234563: Express as a product Q: log base b t^8 I don't know how to type the the letter "b" next to the word like on my paper, it is lower than the word log and the number 8 is an exponent of the letter t. Thank you in advance1 solutions Answer 172938 by Alan3354(31537)   on 2009-11-03 11:38:12 (Show Source): You can put this solution on YOUR website!log base b t^8 ------- =
 Rectangles/234490: A rectangular box has a volume of 750,000 cubic centimeters. It is 1 meter wide and 1.5 meters long. How tall is the box? 1 solutions Answer 172935 by Alan3354(31537)   on 2009-11-03 11:25:41 (Show Source): You can put this solution on YOUR website!A rectangular box has a volume of 750,000 cubic centimeters. It is 1 meter wide and 1.5 meters long. How tall is the box? --------- 1 meter = 100 cm 1.5 meters = 150 cm Volume = l*w*h = 750000 cc 750000 = 100*150*h = 1500h h = 750000/1500 = 500 cm = 0.5 meters
 Expressions-with-variables/234439: 1/4(60+16s)=15+4s Solve the equation if possible.1 solutions Answer 172934 by Alan3354(31537)   on 2009-11-03 11:20:47 (Show Source): You can put this solution on YOUR website!It's not possible. The 2 sides are the same. s = s is all it says.
 Trigonometry-basics/234506: please help prove: 1-(cos(beta)-sin(beta)^2^=sin(2beta)1 solutions Answer 172915 by Alan3354(31537)   on 2009-11-03 09:15:25 (Show Source): You can put this solution on YOUR website!1-(cos(beta)-sin(beta)^2^=sin(2beta) 1 - (cos^2(b) - 2sin(b)cos(b) + sin^2(b)) = 2sin(b)cos(b) All angular arguments are the same, so assume it's b (saves typing) ---------- 1 - cos^2 + 2sincos - sin^2 = 2sincos 1 - cos^2 - sin^2 = 0 sin^2 + cos^2 = 1 We all know that, right? So it's true.
 Equations/234321: I e-mailed Sanbon earlier and I forgot to ask how you write the question in equation form or formulas either way. The problem was: The area of a rectangle is 1260 square inches. It's length is 36 inches find the width. Please help....Thanks. Dee1 solutions Answer 172805 by Alan3354(31537)   on 2009-11-02 20:29:33 (Show Source): You can put this solution on YOUR website!Area = length x width 1260 = 36*w w = 1260/36 w = 35 inches
 Trigonometry-basics/234320: please help solve: (cot(x)/csc(x)+1)=(csc(x)-1/cot(x))1 solutions Answer 172801 by Alan3354(31537)   on 2009-11-02 20:19:41 (Show Source): You can put this solution on YOUR website!(cot(x)/csc(x)+1)=(csc(x)-1/cot(x)) Is the left side DEN csc? or csc + 1?
 Graphs/234349: Am trying to find the slope y=-x, then multiply by 2/3?1 solutions Answer 172792 by Alan3354(31537)   on 2009-11-02 19:51:47 (Show Source): You can put this solution on YOUR website!Am trying to find the slope y=-x, then multiply by 2/3? Slope = -1
 Volume/234279: what is the volume , in milliliters, of a rectangular solid that has a length of 3 cm, a width of 2 cm, and a height of 2 cm1 solutions Answer 172764 by Alan3354(31537)   on 2009-11-02 18:13:03 (Show Source): You can put this solution on YOUR website!The volume is the product of 3, 2 and 2 V = 3*2*2 = 12 cubic cm = 12 ml