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 Money_Word_Problems/586026: Seven people decide to share the cost of a yacht. By bringing in an additional partner, they can reduce the cost to each person by $2000. What is the total cost of the yacht?1 solutions Answer 373573 by jim_thompson5910(28476) on 2012-03-12 19:13:22 (Show Source): You can put this solution on YOUR website!Hint: if C is the cost of the yacht and x is the cost per person (for 7 people), then C/7 = x represents the idea that the cost divided amongst 7 people is x Now divide that same cost by 8 people to get the cost per person to drop by$2000 which gives us C/8 = x-2000 From here, you can plug in x = C/7 to get C/8 = C/7 - 2000 Now solve for C. I'll let you do that.
 test/586019: The formula for the perimeter of a square is P = 4s, where P is the perimeter and s is the length of a side. Graph the equation.1 solutions Answer 373570 by jim_thompson5910(28476)   on 2012-03-12 18:51:41 (Show Source): You can put this solution on YOUR website!If we let x take place of s and y take place of P, then we get y = 4x and we get the following graph: -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Polygons/586012: Find the value of n for regular n-gon described. Each interior angle of the regular n-gon has a measure of 156 degrees.1 solutions Answer 373566 by jim_thompson5910(28476)   on 2012-03-12 18:42:48 (Show Source): You can put this solution on YOUR website!I = (180(n-2))/n 156 = (180(n-2))/n 156n = 180(n-2) 156n = 180n-360 156n - 180n = -360 -24n = -360 n = -360/(-24) n = 15 So the solution is n = 15, which means that there are 15 sides. So this is a 15-gon, which is known as a pendedecagon. -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Surface-area/586011: what exponent goes on the unit when finding volume1 solutions Answer 373563 by jim_thompson5910(28476)   on 2012-03-12 18:31:29 (Show Source): You can put this solution on YOUR website!The exponent of 3 is used to denote that the volume is in cubic units (ex: cubic feet)
 test/586003: I need help with 51/2-1/81 solutions Answer 373561 by jim_thompson5910(28476)   on 2012-03-12 18:15:04 (Show Source): You can put this solution on YOUR website!51/2-1/8 (51/2)*(4/4)-1/8 (51*4)/(2*4)-1/8 204/8-1/8 (204-1)/8 203/8 So 51/2-1/8 = 203/8 -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Functions/585997: f(x)=x+41 solutions Answer 373560 by jim_thompson5910(28476)   on 2012-03-12 18:05:15 (Show Source): You can put this solution on YOUR website!I'm asumming you want to graph this. Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is 1 and the run is 1. This means that to go from point to point, we can go up 1 and over 1 So starting at , go up 1 unit and to the right 1 unit to get to the next point Now draw a line through these points to graph So this is the graph of through the points and -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Systems-of-equations/585970: What is the equation of the line, in point-slope form, that passes through the points (-7, -10) and (-6, -8)?1 solutions Answer 373556 by jim_thompson5910(28476)   on 2012-03-12 17:42:44 (Show Source): You can put this solution on YOUR website!First let's find the slope of the line through the points and Note: is the first point . So this means that and . Also, is the second point . So this means that and . Start with the slope formula. Plug in , , , and Subtract from to get Subtract from to get Reduce So the slope of the line that goes through the points and is Now let's use the point slope formula: Start with the point slope formula Plug in , , and Rewrite as Rewrite as So the solution is -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Equations/585968: i am having a poblem with solving this problem 3t-t=-81 solutions Answer 373555 by jim_thompson5910(28476)   on 2012-03-12 17:39:58 (Show Source): You can put this solution on YOUR website! Start with the given equation. Combine like terms on the left side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 test/585982: Beatriz thinks (1, -1) is a solution of y = 2x -1. Grace thinks it is not a solution. Who is correct? Explain your reasoning.1 solutions Answer 373554 by jim_thompson5910(28476)   on 2012-03-12 17:39:25 (Show Source): You can put this solution on YOUR website!If (1,-1) is a solution, then x = 1 and y = -1 should satisfy the equation. Let's see if it does. y = 2x -1 -1 = 2(1) -1 -1 = 2 - 1 -1 = 1 Since the equation is false, x = 1 and y = -1 do NOT satisfy the equation. Therefore, (1,-1) is NOT a solution. -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Linear-equations/585943: Explain how you can tell that the graphs of 7x - 3y = 5 and 7x - 3y = 8 are parallel without ﬁnding their slopes.1 solutions Answer 373550 by jim_thompson5910(28476)   on 2012-03-12 16:35:04 (Show Source): You can put this solution on YOUR website!If we let z = 7x-3y, then we can say that z = 5 and z = 8. This is a contradiction and this visually corresponds to parallel lines (since they never intersect).
 Distributive-associative-commutative-properties/585942: (7x + 4x) + (11 + 10) is an examle of which associative distributive or commutative ? i believe it is distribution am i correct?1 solutions Answer 373549 by jim_thompson5910(28476)   on 2012-03-12 16:34:02 (Show Source): You can put this solution on YOUR website!You can think of (7x + 4x) + (11 + 10) as 1(7x + 4x) + 1(11 + 10) which becomes 1*7x+1*4x + 1*11 +1*10 and that simplifies to 7x+4x+11+10 So you are correct, this is the distributive property in action. -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Percentage-and-ratio-word-problems/585930: In 2006, Joan had to pay $1,580 in taxes. In 2007, she had to pay$1,738 in taxes. What was the percent of increase?1 solutions Answer 373547 by jim_thompson5910(28476)   on 2012-03-12 16:11:55 (Show Source): You can put this solution on YOUR website! Percent Increase = [(New - Old)/Old] * 100 Percent Increase = [(1738-1580)/1580] * 100 Percent Increase = [158/1580] * 100 Percent Increase = 0.1 * 100 Percent Increase = 10% -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Percentage-and-ratio-word-problems/585927: In 2004, John sold 390 bikes However, in 2005 he only 273 bikes. What was the percent of decrease?1 solutions Answer 373546 by jim_thompson5910(28476)   on 2012-03-12 16:10:25 (Show Source): You can put this solution on YOUR website!Percent Decrease = [(Old - New)/Old] * 100 Percent Decrease = [(390-273)/390] * 100 Percent Decrease = [117/390] * 100 Percent Decrease = 0.3 * 100 Percent Decrease = 30% -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Miscellaneous_Word_Problems/585922: The regression equation is 7.25-0.021x. Find the predicted time in the 40-yard dash for a subject who can do 10 sit-ups. 1 solutions Answer 373545 by jim_thompson5910(28476)   on 2012-03-12 16:00:34 (Show Source): You can put this solution on YOUR website!I'm assuming that x is the number of sit-ups. If so, then the predicted time in the 40-yard dash is y = 7.25-0.021x y = 7.25-0.021(10) y = 7.25-0.21 y = 7.04 So the predicted time is 7.04 seconds. -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Percentage-and-ratio-word-problems/585919: Last month a book sold for $25.00. This month it sold for$25.50. What was the percent of increase?1 solutions Answer 373544 by jim_thompson5910(28476)   on 2012-03-12 15:57:00 (Show Source): You can put this solution on YOUR website!Percent Increase = [(New - Old)/Old] * 100 Percent Increase = [(25.5-25)/25] * 100 Percent Increase = [0.5/25] * 100 Percent Increase = 0.02 * 100 Percent Increase = 2% -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Geometry_Word_Problems/585914: A library is 46.5 feet tall. It casts a shadow of 8.2 feet. What is the sun's angle of elevation? I don't understand how to find the elevation. My teacher has gone over it and I have asked for help, but I still don't get it.1 solutions Answer 373543 by jim_thompson5910(28476)   on 2012-03-12 15:51:58 (Show Source): You can put this solution on YOUR website!The angle of elevation is arctan(46.5/8.2) = 79.999 or about 80 degrees The reason why I'm using the arctangent function is because the tangent of this unknown angle is equal to the ratio or quotient of the opposite side (46.5) divided by the adjacent side (8.2). We must use the arctangent to find the unknown angle (since it "undoes" the tangent function) -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Equations/585912: how do you solve the problem -10x-7=3 1 solutions Answer 373540 by jim_thompson5910(28476)   on 2012-03-12 15:45:21 (Show Source): You can put this solution on YOUR website! Start with the given equation. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Polynomials-and-rational-expressions/585909: Essay: Show all work. Find the following product: (x^2+8)(x^3+7x-3)1 solutions Answer 373538 by jim_thompson5910(28476)   on 2012-03-12 15:44:28 (Show Source): You can put this solution on YOUR website! Start with the given expression. Expand. Distribute. Multiply. Now combine like terms. So expands to . In other words, for all values of x. -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Age_Word_Problems/585908: Uncle Munch is three times as old as his nephew, Crunch. Three years ago, Uncle Munch was two times as old as Crunch will be in four years. How old are Uncle Munch and Crunch? Note: Just give me the two equations and i'll solve it from there. Thank you! I started one of my equations as 3x=y but i'm not sure if it is correct and I also need help on the second equation. Thank you again!1 solutions Answer 373537 by jim_thompson5910(28476)   on 2012-03-12 15:40:44 (Show Source): You can put this solution on YOUR website!Let x = current age of Uncle Munch and y = current age of the nephew Crunch Since "Uncle Munch is three times as old as his nephew", you know that or Note: say for example the nephew is 9 yrs old, so y = 9 and x = 3y ---> x = 3(9) = 27, which means that x = 27 and the uncle is 27 years old. Now, three years ago, the uncle was x-3 years old. In four years, the nephew will be y+4 years old. Because "Three years ago, Uncle Munch was two times as old as Crunch will be in four years", this means that the second equation is -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Rectangles/585906: 4x=20 6(3x-3)=81 solutions Answer 373536 by jim_thompson5910(28476)   on 2012-03-12 15:34:25 (Show Source): You can put this solution on YOUR website!4x=20 4x/4=20/4 x = 5 ======================================================= 6(3x-3)=8 18x-18=8 18x=8+18 18x=26 x=26/18 x = 13/9 -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Numeric_Fractions/585903: eight less than five times c is four more than eight times c. 1 solutions Answer 373533 by jim_thompson5910(28476)   on 2012-03-12 15:27:19 (Show Source): You can put this solution on YOUR website!"eight less than five times c is four more than eight times c" translates to -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 logarithm/585897: how do i find the answer to this logarithm? 5^x+2=25^x1 solutions Answer 373531 by jim_thompson5910(28476)   on 2012-03-12 15:09:10 (Show Source): You can put this solution on YOUR website!5^(x+2)=25^x 5^(x+2)=(5^2)^x 5^(x+2)=5^(2x) Since the bases are equal, the exponents are equal x+2=2x 2 = 2x-x 2 = x x = 2 So the answer is x = 2 -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Probability-and-statistics/585891: The name of each contestant is written on a separate card, the cards are placed in a bag, and three names are picked from the bag. Identify which type of sampling is used and why 1 solutions Answer 373530 by jim_thompson5910(28476)   on 2012-03-12 15:07:14 (Show Source): You can put this solution on YOUR website!This is simple random sampling because the names are drawn out at random and each name has an equal probability of being selected. -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Permutations/585884: The digits of the locker combination consist of 3 one digit numbers, 1-9. If the digits are not repeated, what is the probabiliity of the combination being 1, 2, 3?1 solutions Answer 373528 by jim_thompson5910(28476)   on 2012-03-12 14:43:29 (Show Source): You can put this solution on YOUR website!There's only one combo of "123" out of $\large _9P_3 = \frac{9!}{(9-3)!}= 504$ different combinations. So the probability is -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Triangles/585883: i have a triangle with angle l p m o and n the middle value is 7 and im trying to figure out the x value help?? pleas 1 solutions Answer 373526 by jim_thompson5910(28476)   on 2012-03-12 14:37:57 (Show Source): You can put this solution on YOUR website!It's hard to visualize what you are describing. Can you post a picture of it? Thanks.
 Complex_Numbers/585882: solve the equation for x and express the roots in simplest a+ bi form: 3x^2=2x-1 1 solutions Answer 373525 by jim_thompson5910(28476)   on 2012-03-12 14:36:49 (Show Source): You can put this solution on YOUR website! Start with the given equation. Get every term to the left side. Notice that the quadratic is in the form of where , , and Let's use the quadratic formula to solve for "x": Start with the quadratic formula Plug in , , and Negate to get . Square to get . Multiply to get Subtract from to get Multiply and to get . Simplify the square root (note: If you need help with simplifying square roots, check out this solver) or Break up the expression. or Reduce or Break up the fraction and rearrange terms. So the solutions are or -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Linear-equations/585881: the chapter title is : Quadratic Equations and Functions Referring to the figure, use the graph to estimate the roots of the equation: y = x^2 - 4 theres supposed to be a graph for it but i cant put it 1 solutions Answer 373524 by jim_thompson5910(28476)   on 2012-03-12 14:34:07 (Show Source): You can put this solution on YOUR website!The graph is shown below The graph crosses the x-axis at (-2,0) and at (2,0). So the roots are -2 and 2. -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Linear-equations/585880: given that the slope of the line is 5/7. the slope of the line that is parallel to that line would be? and the slope of the line that is perpendicular to that line would be? 1 solutions Answer 373523 by jim_thompson5910(28476)   on 2012-03-12 14:32:20 (Show Source): You can put this solution on YOUR website!the slope of the line that is parallel to that line would be ___5/7____ and the slope of the line that is perpendicular to that line would be ___-7/5____ Recall that parallel lines have slopes that are equal to one another. Also, remember that perpendicular lines have slopes that are negative reciprocals of one another. -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Average/585878: what is the average of 86 and 62? 1 solutions Answer 373521 by jim_thompson5910(28476)   on 2012-03-12 14:27:33 (Show Source): You can put this solution on YOUR website!Average = (86+62)/2 = 148/2 = 74 -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Functions/585875: State the domain of the following function. y=9x+14 1 solutions Answer 373520 by jim_thompson5910(28476)   on 2012-03-12 14:21:10 (Show Source): You can put this solution on YOUR website!This is a linear function and a polynomial function. Therefore, the domain is the set of all real numbers. This is because you can plug in ANY number in for x and get some number out for y. -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Triangles/585873: Susie drew a triangle with angles that measured 47°, 43°, and 90°. What type of triangle did Susie draw? A  acute B  equiangular C  obtuse D  right1 solutions Answer 373519 by jim_thompson5910(28476)   on 2012-03-12 14:19:24 (Show Source): You can put this solution on YOUR website!The 90 degree angle is a right angle. Therefore, this is a right triangle. -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------