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# Recent problems solved by 'solver91311'

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 Geometry_Word_Problems/184689: how many square inches of velvet fabric is needed to cover a shoe box that is 10 inches in width and 6 inches in length and 5 inches in height?1 solutions Answer 138604 by solver91311(16872)   on 2009-03-02 23:14:45 (Show Source): You can put this solution on YOUR website! To cover the entire box, you have two rectangles that are 6 by 5, two that are 6 by 10, and two that are 5 by 10. Calculate the area of all six rectangles and then add the areas to get the total surface area. John
 Equations/184677: Hello. I'm needing some help factoring out this trinomial. a^6-2+a^3 thanks! 1 solutions Answer 138603 by solver91311(16872)   on 2009-03-02 23:11:28 (Show Source): You can put this solution on YOUR website! Let then But since But is the difference of two cubes, so since: We can say: If you are factoring over the rational numbers then the complete factorization is: However, if you are allowed to consider irrational factors you could also say: John
 Polynomials-and-rational-expressions/184661: Melanie can paint a certain barn by herself in x days. Her helper, Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression for x=5. 1 solutions Answer 138583 by solver91311(16872)   on 2009-03-02 21:22:14 (Show Source): You can put this solution on YOUR website! Melanie can paint a certain barn by herself in x days, so she can paint th of the barn in 1 day. Likewise her helper can paint th of the barn in 1 day. Together, they can paint: th of the barn in 1 day. So together they take: days to paint the barn. Just substitute 5 for x to evaluate for 5 days. In general if A takes x time periods to do a job, and B takes y time periods to do the same job, then working together they can complete the job in: time periods. John
 Exponential-and-logarithmic-functions/184660: what does this represent1 solutions Answer 138580 by solver91311(16872)   on 2009-03-02 21:11:21 (Show Source): You can put this solution on YOUR website! so John
 Quadratic_Equations/184643: 4x^2 - 8x - 5=0 answer x= -1/2 or 5/2 need a full break down of how my text book got this answer1 solutions Answer 138578 by solver91311(16872)   on 2009-03-02 21:07:22 (Show Source): You can put this solution on YOUR website! Note that: So this factors: Using the Zero Product Rule: or John
 Linear-equations/184650: Write an equation in standard form with integer coefficients for the line with slope 13/19 going through the point (-2,-1) What is the equation of the line 1 solutions Answer 138575 by solver91311(16872)   on 2009-03-02 21:00:26 (Show Source): You can put this solution on YOUR website! You need the Point-Slope form of the equation of a straight line: Just substitute the coordinates of your given point for and and your slope number for m. Then rearrange your equation into standard form: Hint: Multiply by 19 first. John
 absolute-value/184644: Did I do this absolute problem correct? Ab.value(5x)+9=19 5x=10 x=2 or 5x=-10 x=-2 Thanks1 solutions Answer 138573 by solver91311(16872)   on 2009-03-02 20:55:25 (Show Source): You can put this solution on YOUR website! Couldn't have done it better myself. Good job. John
 Average/184653: Solve x^2 + 7 = 43 ?? 1 solutions Answer 138572 by solver91311(16872)   on 2009-03-02 20:53:24 (Show Source): You can put this solution on YOUR website! Add -7 to both sides and then take the square root. Remember to consider both the positive and negative square root. John
 Average/184654: Solve (x – 5)2 = 31 solutions Answer 138571 by solver91311(16872)   on 2009-03-02 20:51:42 (Show Source): You can put this solution on YOUR website! Take the square root of both sides remembering to consider both the positive and negative roots. Add 5 to both sides: John
 Average/184655: Solve x2 + 16x + 69 = 61 solutions Answer 138570 by solver91311(16872)   on 2009-03-02 20:48:28 (Show Source): You can put this solution on YOUR website! Add -6 to both sides: Then solve by factoring. Hint: and John
 logarithm/184633: Solve for N Log base 4 (Log base 3 (log base 2 N))=11 solutions Answer 138569 by solver91311(16872)   on 2009-03-02 20:45:50 (Show Source): You can put this solution on YOUR website! Remember that: So: So: And: So: And finally: A very large number indeed. 2,417,851,639,229,258,349,412,352 John
 Linear_Equations_And_Systems_Word_Problems/184635: The line Ax + By =8 passes through the points (2,1) and (4,-2). Find the values of A & B. Show work please.1 solutions Answer 138564 by solver91311(16872)   on 2009-03-02 20:15:15 (Show Source): You can put this solution on YOUR website! You need to use the Two-Point form of the equation of a straight line because you are given two ordered pairs to define your line. Where and are your given points. It really doesn't matter which point you select as #1 and #2, so I just selected: and giving us: Now all you have to do is the arithmetic and algebraic manipulation to put the equation into the requested form, namely: John
 Linear-systems/184629: I need help to solve this problem. Solve the systems of equations by substitutions 5x + y = 9 y=4x Type an ordered pair.1 solutions Answer 138562 by solver91311(16872)   on 2009-03-02 20:05:43 (Show Source): You can put this solution on YOUR website! Since you have an equation that expresses y in terms of x, just substitute the expression containing x into the other equation, thus: Solve for x to get your x-coordinate, and then substitute that value back into either of the equations and solve for the y-coordinate. Express your answer as (x,y) once you have the proper values. John
 Graphs/184630: Find the slope of the line if it exist. Type as integer or fraction. Simplifiy. Use N for no solution. (2,1) (2,-4)1 solutions Answer 138561 by solver91311(16872)   on 2009-03-02 20:01:06 (Show Source): You can put this solution on YOUR website! The slope number is a fraction where the numerator is the difference in the y values and the denominator is the difference in x values. Remember, any fraction with a denominator of zero is undefined. John
 Graphs/184625: Find the domain and the range. {(8,5),(-4,-5),(7,4),(4,7)}1 solutions Answer 138560 by solver91311(16872)   on 2009-03-02 19:58:48 (Show Source): You can put this solution on YOUR website! The domain is the set of x-coordinates. The range is the set of y-coordinates. John
 Graphs/184628: Graph the linear equation. x=31 solutions Answer 138559 by solver91311(16872)   on 2009-03-02 19:57:02 (Show Source): You can put this solution on YOUR website! The graph consists of all ordered pairs such that x = 3 and y is any real number. John
 Probability-and-statistics/184624: If there is a 30% chance of snow today and a 20% chance of snow tomorrow, what is the probability that both days will go by without any snow falling? 1 solutions Answer 138558 by solver91311(16872)   on 2009-03-02 19:54:59 (Show Source): You can put this solution on YOUR website! A 30% chance of snow today and a 20% chance of snow tomorrow means that there is a 70% chance of no snow today and an 80% chance of no snow tomorrow, so: John
 Probability-and-statistics/184623: What is the probability of rolling three 6s in a row, using a standard 6-sided die?1 solutions Answer 138557 by solver91311(16872)   on 2009-03-02 19:52:26 (Show Source): You can put this solution on YOUR website! John
 Quadratic_Equations/184612: Linear System Extension Thinking & Inquiry Questions 8. A triangle is formed by the intersection of the lines 2x+3y=14, 4x-5y=-16, and the x-axis. Find the area of the triangle Could you help me please with this question because i am really confused. Thank you very much!!!1 solutions Answer 138556 by solver91311(16872)   on 2009-03-02 19:48:49 (Show Source): You can put this solution on YOUR website! Since the x axis forms one side of the triangle, use that as the base. Find the x-intercepts of each of the two equations by substituting 0 for y in each of them. Then the length of the base of the triangle will be the magnitude of the difference between these x-intercepts. Next find the point of intersection of the two lines represented by the two given equations by solving the 2-equation, 2-variable linear system. This one lends itself readily to solution by elimination if you go for eliminating the x term. Once you have that point of intersection, the y-coordinate will be the height of the triangle. Now that you know the length of the base and the height, just use the triangle area formula: John