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# Recent problems solved by 'Alan3354'

Alan3354 answered: 30973 problems
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 Word_Problems_With_Coins/293394: I have 12 coins that equal \$1.80 made up of nickels, dimes, and quartars. how many of each do i have?1 solutions Answer 211820 by Alan3354(30993)   on 2010-04-18 10:28:50 (Show Source): You can put this solution on YOUR website!5 quarters, 4 dimes and 3 nickels
 Linear-systems/293396: I have to solve and verify this question. (4a-2)/5 - 1/2 = (3a+7)/2-1 Thanks for your help!!1 solutions Answer 211814 by Alan3354(30993)   on 2010-04-18 10:16:32 (Show Source): You can put this solution on YOUR website!Multiply by 10 to eliminate the fractions.
 Surface-area/293409: what is the area of an octagon which has sides 2m in length? 1 solutions Answer 211809 by Alan3354(30993)   on 2010-04-18 10:06:49 (Show Source): You can put this solution on YOUR website!The area of any regular polygon of n sides of length s is: = 8*4/4 * cot(22.5º) = =~ 19.313 sq meters
 Polynomials-and-rational-expressions/293266: 2(x+2(-3/2x-1))= x/31 solutions Answer 211802 by Alan3354(30993)   on 2010-04-18 09:24:58 (Show Source): You can put this solution on YOUR website!2(x+2(-3/2x-1))= x/3 6(x+2(-3/2x-1))= x 6(x + (-3x-2)) = x 6(-2x-2) = x -12x - 12 = x 13x = -12 x = -12/13
 Linear-systems/293405: I need to solve and verify. 1/5(a-1) = 1/3(2a-3) Thanks everyone!1 solutions Answer 211800 by Alan3354(30993)   on 2010-04-18 09:14:36 (Show Source): You can put this solution on YOUR website!Multiply by 15
 Exponential-and-logarithmic-functions/293403: Please help me solve this equation: 1 solutions Answer 211799 by Alan3354(30993)   on 2010-04-18 09:13:05 (Show Source): You can put this solution on YOUR website!It's not an equation. All equations have an equal sign. There are 3 variables, you didn't say which one to solve for, but since it's not an equation, it can't be solved anyway. ----------------- It can be simplified some. = = -------------- From there it can be expanded, but that's not simplification. = = The 16 can be factored out: = All versions are equal. Simplification can be a matter of opinion.
 Linear-equations/293402: what is the slope of the graph of 4x+5y=101 solutions Answer 211798 by Alan3354(30993)   on 2010-04-18 09:08:00 (Show Source): You can put this solution on YOUR website!Solve for y. The slope is the coefficient of x
 Problems-with-consecutive-odd-even-integers/293379: The average of 4 consecutive even numbers is 9. Which of these is the first number? (a) 6 (b) 4 (c) 8 (d) 10 (e) 12 1 solutions Answer 211789 by Alan3354(30993)   on 2010-04-18 07:49:22 (Show Source): You can put this solution on YOUR website!The average of 4 consecutive even numbers is 9. Which of these is the first number? 2 will be less than 9, and 2 will be more than 9. --> 6 & 8 and 10 & 12 (a) 6 (b) 4 (c) 8 (d) 10 (e) 12
 Trigonometry-basics/293289: if x is a positive acute angle, solve 2 sin radical 3 to the nearest degree ?1 solutions Answer 211765 by Alan3354(30993)   on 2010-04-17 21:47:06 (Show Source): You can put this solution on YOUR website!There's nothing to solve, it's not an equation. ----------------
 logarithm/293327: solve for x correct to four decimal places. e^-4x=5.81 solutions Answer 211764 by Alan3354(30993)   on 2010-04-17 21:31:48 (Show Source): You can put this solution on YOUR website!solve for x correct to four decimal places. e^-4x=5.8 -------------- -4x = ln(5.8) x = -ln(5.8)/4 Use a calculator from here
 real-numbers/293312: Can the word "RATES" be played from the letters A, E, O, N, R, S, T as the first move in a Scrabble game? Explain your answer. 1 solutions Answer 211758 by Alan3354(30993)   on 2010-04-17 21:14:59 (Show Source): You can put this solution on YOUR website!The letters are available, so it can. Why not? What's to explain?
 Probability-and-statistics/293230: If two people are selected at random, find the probability that they have the same birthday (both month and day).1 solutions Answer 211719 by Alan3354(30993)   on 2010-04-17 17:12:39 (Show Source): You can put this solution on YOUR website!The bday of the 1st person doesn't matter, it can be any day. The chance of the 2nd choice matching the 1st is 1 in 365 (ingoring leap year). --> 1 in 365
 Linear-equations/293268: When using the addition or substitution method, how can you tell if a system of linear equations has infinitely many solutions? What is the relationship between the graphs of the two equations? 1 solutions Answer 211717 by Alan3354(30993)   on 2010-04-17 17:03:44 (Show Source): You can put this solution on YOUR website!The method doesn't matter. ------------- If the graphs intersect, the point of intersection is the ONE solution. If they coincide, there are an infinite # of solutions. If they are parallel, there is no intersection, and no solution.
 Quadratic_Equations/293255: solve by completing the square 3/8x^2 = 1/8 - x Get 0 on one side: 3/8x^2 + x - 1/8 = 0 Divide both sides by 8 and then you get: 3x^2+8x-1 =0 Then I make the coefficient of x^2 equal to 1, I divide both sides by 3, term by term. Then I get x^2 + 8/3 - 1/3 = 0 This is where I get confused. I need help completing the square now. I know I square 1/2(8/3)^2 and that gives me a square and I add 16/9 to both sides. 1 solutions Answer 211698 by Alan3354(30993)   on 2010-04-17 15:46:04 (Show Source): You can put this solution on YOUR website! solve by completing the square 3/8x^2 = 1/8 - x Get 0 on one side: 3/8x^2 + x - 1/8 = 0 Divide both sides by 8 and then you get: 3x^2+8x-1 =0 *** Actually, you multiplied by 8, but good work. ------------------------------------ Then I make the coefficient of x^2 equal to 1, I divide both sides by 3, term by term. Then I get x^2 + 8/3 - 1/3 = 0 *** 8x/3 This is where I get confused. I need help completing the square now. I know I square 1/2(8/3)^2 and thaat gives me a square and I add 16/9 to both sides. ----------------- x^2 + 8x/3 - 1/3 = 0 Move the coefficient to the right side Then add ((8/3)/2)^2 to both sides Can you take it from there?
 Linear-systems/293238: Graph the linear equation. -4x - 36y = -361 solutions Answer 211694 by Alan3354(30993)   on 2010-04-17 15:21:10 (Show Source): You can put this solution on YOUR website!-4x - 36y = -36 Make it easier, divide by -4 x + 9y = 4 ------------ To graph it: It's a straight line. All you need is 2 points. Pick 2 values for x, and find y, or vice versa, or one of each. ------------------------- Plot those 2 points. Draw a line thru them.
 Coordinate-system/293250: y=-2x+41 solutions Answer 211693 by Alan3354(30993)   on 2010-04-17 14:58:55 (Show Source): You can put this solution on YOUR website!That's nice. Do you have a question?
 Graphs/293245: Find the equation of each line. write each answer in slope intercept form. The line in parallel to -3x + 2y= 9 and contains the point (-2,1)1 solutions Answer 211692 by Alan3354(30993)   on 2010-04-17 14:47:10 (Show Source): You can put this solution on YOUR website!A line and a point example. Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) ----------------- Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. 9x+3y = 36 3y= - 9x + 36 y = -3x + 13 The slope, m = -3 ------------------ The slope of lines parallel is the same. The slope of lines perpendicular is the negative inverse, m = +1/3 ---------------- Use y = mx + b and the point (1,2) to find b. 2 = (1/3)*1 + b b = 5/3 The equation is y = (1/3)x + 5/3 (slope-intercept form) x - 3y = -5 (standard form) ------------------------ For further assistance, or to check your work, email me via the thank you note, or at MoralLoophole@aol.com
 Linear-equations/291733: Find an equation of the line containing the given pair of points: (-2 ,3) and (-4, 6). Show your work please. 1 solutions Answer 211691 by Alan3354(30993)   on 2010-04-17 14:46:32 (Show Source): You can put this solution on YOUR website! Given 2 points example. Find the equation of the line thru the points (2,1) and (3,5) --------------------- This is a 2 step process. First find the slope of the line thru the points. slope, m = diffy/diffx m = (5-1)/(3-2) m = 4 --------- Now use y = mx + b with either point to find b, the y-intercept. y = mx + b 5 = 4*3 + b b = -7 ------- y = mx + b y = 4x - 7 is the answer. ------------------------ Another approach using determinants: |x y 1| |2 1 1| = 0 |3 5 1| -------- x(1-5) - y(2-3) + 1(10-3) = 0 -4x + y + 7 = 0 y = 4x - 7 --------- For further assistance, or to check your work, email me via the thank you note or at MoralLoophole@aol.com
 Linear-equations/293248: -Find the missing coordinates of the given points. Please show work. -Plot those points and graph the linear equation. 5x - 7y = 35 (0,),(,0)1 solutions Answer 211690 by Alan3354(30993)   on 2010-04-17 14:45:45 (Show Source): You can put this solution on YOUR website!Do it like this one: Find the y coordinates of the given points. Please show work. -Plot those points and graph the linear equation. y = 4x - 1 ------------- (0,) x = 0 y = 4*0 - 1 y = 1 --> (0,-1) ----------- (1,) x = 1 y = 4*1 - 1 y = 3 --> (1,3) ---------- (2,) You do this one.
 Linear-equations/293249: -Find the missing coordinates of the given points.Please show work. -Plot those points and graph the linear equation. 7x + 2y = 14 (0,),(,0)1 solutions Answer 211689 by Alan3354(30993)   on 2010-04-17 14:45:18 (Show Source): You can put this solution on YOUR website!Do it like this one: Find the y coordinates of the given points. Please show work. -Plot those points and graph the linear equation. y = 4x - 1 ------------- (0,) x = 0 y = 4*0 - 1 y = 1 --> (0,-1) ----------- (1,) x = 1 y = 4*1 - 1 y = 3 --> (1,3) ---------- (2,) You do this one.
 Linear-equations/293246: -Find the y coordinates of the given points. Please show work. -Plot those points and graph the linear equation. y = 4x - 1 (0,),(1,),(2,)1 solutions Answer 211688 by Alan3354(30993)   on 2010-04-17 14:44:54 (Show Source): You can put this solution on YOUR website!Find the y coordinates of the given points. Please show work. -Plot those points and graph the linear equation. y = 4x - 1 ------------- (0,) x = 0 y = 4*0 - 1 y = 1 --> (0,-1) ----------- (1,) x = 1 y = 4*1 - 1 y = 3 --> (1,3) ---------- (2,) You do this one.
 logarithm/293225: How do you solve this Logarithm? Log base 2x =Logbase 2 5+31 solutions Answer 211684 by Alan3354(30993)   on 2010-04-17 13:48:36 (Show Source): You can put this solution on YOUR website! x = 8
 Polynomials-and-rational-expressions/293201: Factor completely. If the polynomial is prime, state this. x3 + 3x2 - 28x 1 solutions Answer 211662 by Alan3354(30993)   on 2010-04-17 10:47:17 (Show Source): You can put this solution on YOUR website!Hint: 28 = 4*7
 Polynomials-and-rational-expressions/293207: Solve by factoring and using the principle of zero products. x2 + 6x - 16 = 0 Thank you1 solutions Answer 211657 by Alan3354(30993)   on 2010-04-17 10:37:47 (Show Source): You can put this solution on YOUR website!Here's a hint: 16 = 2*8
 Reduction-of-unit-multipliers/293133: A graduated cylinder contains 137 mL of water. A 16.0g piece of iron (density = 7.86 ) and a 15.0g(density= 11.3g/mL) piece of lead are added. What is the new water level in the cylinder?1 solutions Answer 211636 by Alan3354(30993)   on 2010-04-17 09:33:12 (Show Source): You can put this solution on YOUR website!Not enough info (still). Suppose the cylinder is 1 foot in diameter - the level would rise slightly. Suppose the cylinder is 1 inch in diameter - it would rise 144 times as much. ---------------- 16 grams of Fe --> 2.0356 cc 15 grams of PB --> 1.3274 cc 3.63 cc of water is displaced. ------------------------------- The volume of water = After the addition of the metal:
 Inequalities/293179: In order for a chemical reaction to take place, the Fahrenheit temperature of the reagents must be at least 184.49 degrees F. Find the Celsius temperatures at which the reaction may occur. Use C = 5/9 (F - 32 ). Round the answer to the nearest hundredth1 solutions Answer 211630 by Alan3354(30993)   on 2010-04-17 09:22:59 (Show Source): You can put this solution on YOUR website!C = 5/9 (F - 32 ) Sub 184.49 for F, find C. Why not do it?
 Polynomials-and-rational-expressions/293192: 1/2-1/4 divided by 3/8+1/16 I got 9/16-4/16 divided by 6/16+1/16 answer 6/16 times 16/1 cancel the 16's and it is 5 1 solutions Answer 211628 by Alan3354(30993)   on 2010-04-17 09:20:31 (Show Source): You can put this solution on YOUR website!1/2-1/4 divided by 3/8+1/16 I got 9/16-4/16 divided by 6/16+1/16 ***** 1/2 = 8/16, not 9/16 = (4/16)/(7/16) = 4/7 ---------- ---------- answer 6/16 times 16/1 cancel the 16's *** ??? 6+1 = 7/16 and it is 5
 Equations/293173: Find the equation of straight line passing through the point (2,3) and parallel to the straight line 2X-y=51 solutions Answer 211608 by Alan3354(30993)   on 2010-04-17 07:33:04 (Show Source): You can put this solution on YOUR website!A line and a point example. Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) ----------------- Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. 9x+3y = 36 3y= - 9x + 36 y = -3x + 13 The slope, m = -3 ------------------ The slope of lines parallel is the same. The slope of lines perpendicular is the negative inverse, m = +1/3 ---------------- Use y = mx + b and the point (1,2) to find b. 2 = (1/3)*1 + b b = 5/3 The equation is y = (1/3)x + 5/3 (slope-intercept form) x - 3y = -5 (standard form) ------------------------ For further assistance, or to check your work, email me via the thank you note, or at MoralLoophole@aol.com
 Quadratic_Equations/293111: what is 5x to the second power-68-1921 solutions Answer 211577 by Alan3354(30993)   on 2010-04-16 20:23:53 (Show Source):
 Probability-and-statistics/293084: 84°13'- 27°45'1 solutions Answer 211570 by Alan3354(30993)   on 2010-04-16 19:27:39 (Show Source): You can put this solution on YOUR website!= 56º 28'
 Unit_Conversion_Word_Problems/293078: How would i solve this problem?..step-by-step please. A graduated cylinder contains 137mL of water. A 16.0g piece of iron (density = 7.86g/cm^3 ) and a 15.0g piece of lead are added. What is the new water level in the cylinder?1 solutions Answer 211567 by Alan3354(30993)   on 2010-04-16 19:26:01 (Show Source): You can put this solution on YOUR website!What's the density of lead, and what's the level before the metals are added?