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# Recent problems solved by 'solver91311'

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 Triangles/689477: A student draws a triangle with a perimeter of 12 inches. The student says that the longest side measures 7 in. How do you know that the student is incorrect? Explain Thanks so much, I am really confused.1 solutions Answer 425971 by solver91311(17077)   on 2012-12-04 15:37:03 (Show Source): You can put this solution on YOUR website! That would violate the triangle inequality. The sum of the measures of any two sides of a triangle must be strictly greater than the measure of the third side. If the perimeter is 12 and one side is 7, that only leaves 5 for the sum of the remaining sides and since 5 is not strictly greater than 7, 7 is not a possible measure of any side of a triangle with a perimeter of 12. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Matrices-and-determiminant/689376: Please help me to solve this problem: Use row operations to solve the system. x-y=7 y-z=-3 x+z=4 Thank you1 solutions Answer 425970 by solver91311(17077)   on 2012-12-04 15:30:51 (Show Source): You can put this solution on YOUR website!  1 -1 0 7 0 1 -1 -3 1 0 1 4 -R1 + R3 -> R3 1 -1 0 7 0 1 -1 -3 0 1 1 -3 -R2 + R3 -> R3 1 -1 0 7 0 1 -1 -3 0 0 2 0 R3/2 -> R3 1 -1 0 7 0 1 -1 -3 0 0 1 0 R3 + R2 -> R2 1 -1 0 7 0 1 0 -3 0 0 1 0 R2 + R1 -> R1 1 0 0 4 0 1 0 -3 0 0 1 0 x = 4; y = -3; z = 0  John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Rectangles/689384: Find the area of a square cornfield that is 2 km long on each side 1 solutions Answer 425927 by solver91311(17077)   on 2012-12-04 12:37:23 (Show Source): You can put this solution on YOUR website! The area of a square is the measure of one side times itself. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Graphs/689393: which ordered pair is a solution of the inequality... y is greater than or equal to 4x-5... choices are: (3,4) (2,1) (3,0) (1,1).....I think it is D???1 solutions Answer 425926 by solver91311(17077)   on 2012-12-04 12:35:45 (Show Source): You can put this solution on YOUR website! Substitute the x and y coordinates from each of the given points into the given inequality. Do the indicated arithmetic. If the result is a true statement then the point is an element of the solution set. Otherwise not. Why do you think it is answer D? John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Graphs/689392: graph the inequality... y>-5x+3.... I have 4 graphs to choose from and they all have dotted lines...some aim upward and some downward...they all have a shaded area...please help me - I don't undersstand how to do this....thank you1 solutions Answer 425925 by solver91311(17077)   on 2012-12-04 12:31:21 (Show Source): You can put this solution on YOUR website! Step 1: Change the relationship symbol to "=". Graph the resulting line. If the original relationship symbol was or , do it with a dashed or broken line. If your symbol was or , graph the equation with a solid line. Step 2: Pick any point on the coordinate plane that does not lie on the line you just graphed. If the line does not pass through the origin, then the origin is an excellent choice for this step. If the line does pass through the origin, select a point other than the origin -- I recommend a point that has small integer coordinates. Step 3: Substitute the values of the coordinates of the point chosen in Step 2 for the corresponding variables in the inequality you started with in Step 1. Step 4: Do the appropriate arithmetic to determine whether the substitution created a true statement or not. If you created a true statement, shade in the side of the line containing the point selected in Step 2. If you created a false statement, shade in the side of the line that does not contain the selected point. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Length-and-distance/689390: If a 32 ft rope is cut into two sections with one section 7 times as long as the other section, how long is the shorter piece?1 solutions Answer 425924 by solver91311(17077)   on 2012-12-04 12:29:18 (Show Source): You can put this solution on YOUR website! One piece measures and the other piece measures , so Solve for John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Polygons/689389: A regular polygon has 39 sides. find the size of each interior angle. (could you explain the answer full as possible?) 1 solutions Answer 425923 by solver91311(17077)   on 2012-12-04 12:27:17 (Show Source): You can put this solution on YOUR website! The sum of the interior angles of any -gon is given by If the polygon is regular, then the measure of each interior angle is that total divided by . Calculate: John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Expressions-with-variables/689041: x+y=270 3x+5y=3,000 Students are $3 a ticket Adults are$5 a ticket Total of 270 tickets sold A total of $3,000 made off tickets. Thank you! 1 solutions Answer 425786 by solver91311(17077) on 2012-12-03 19:23:21 (Show Source): You can put this solution on YOUR website! So what is the question? What have you tried? What don't you understand? John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Parallelograms/689034: Is E(1,10), F(-4,0), G(7,2), H(12,12) a rhombus, a rectangle, or a square?1 solutions Answer 425784 by solver91311(17077) on 2012-12-03 19:22:11 (Show Source): You can put this solution on YOUR website! Use the slope formula to calculate the slope of the diagonals., EG and FH. . If the two slopes are negative reciprocals, then the figure is either a rhombus or a square. If not, then since rectangle is the only other choice, it must be a rectangle. If it is a rhombus or a square, use the distance formula: to find the measure of each of the diagonals. If they are equal, you have a square (and a rectangle actually -- ALL squares are rectangles), but if they are different it is a rhombus. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Graphs/689033: URGENT(help!!!!!) having a really hard time solving this problem find the center and the radius x^2+y^2-14x-6y=231 solutions Answer 425782 by solver91311(17077) on 2012-12-03 19:16:05 (Show Source): You can put this solution on YOUR website! You are having a really hard time? So what have you tried? John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Quadratic_Equations/689024: How do you solve (m+5)^4 - 4(m+5)^2+4=0 ? Thanks, Gio1 solutions Answer 425780 by solver91311(17077) on 2012-12-03 19:11:30 (Show Source): You can put this solution on YOUR website! Let Then Can be written Solve for So or But There are two roots, each with a multiplicity of 2 for a total of 4 roots as expected from a 4th degree polynomial equation. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  test/689022: What is a function?1 solutions Answer 425778 by solver91311(17077) on 2012-12-03 19:04:53 (Show Source): You can put this solution on YOUR website! In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Miscellaneous_Word_Problems/688979: The equation below describes the height "h" in feet of a bullet fired from a gun up into the air "t" seconds after the bullet was fired. How high will it go, to the nearest foot? I am looking for the numerical answer to this riddle! h=32.2t^2+644t I can not wrap my head around this - any assistance would be greatly appreciated - thanks so much!!1 solutions Answer 425776 by solver91311(17077) on 2012-12-03 19:02:49 (Show Source): You can put this solution on YOUR website! Unfortunately, you are on a different planet than Earth. On your planet the gravity is twice as strong as on Earth, and not only that, it is gravitational repulsion rather than attraction. So if you fire your bullet into the air, it will never stop until it reaches another celestial body that has gravity that works in the normal way. On earth, the height function is where the acceleration due to gravity, , is feet per second per second. Using your values of 644 feet per second for intial velocity and zero for initial height (damn short gun!), your function would look like: You should recognize this as a quadratic function where the graph is a parabola opening downward. The vertex is therefore a maximum. Use the formula for the abscissa of the vertex: Once you have performed that calculation and determined the time at which the height is maximum, evaluate your function at that value: Once you have finished your calculations and have returned to Earth, write back and I'll check your work for you. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Coordinate-system/689009: Roberto rented a car at a rate of$75 per day and $0.15 per mile. This situation can be represented by the function y=0.15x+ 75. What is the slope of this equation? 1 solutions Answer 425772 by solver91311(17077) on 2012-12-03 18:43:33 (Show Source): You can put this solution on YOUR website! Your function is in form, so the slope is the coefficient on John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  test/689011: Distance and absolute value1 solutions Answer 425769 by solver91311(17077) on 2012-12-03 18:40:58 (Show Source): You can put this solution on YOUR website! Sure, pal. We're going to tell you everything you could ever possibly want to know about Distance and Absolute Value right here in this little answer box. Are you new? Go back and read the instructions for posting questions. Repeat until you understand. THEN post a valid question. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Quadratic_Equations/689005: I do not know how to use the quadratic Formula, when I do my equation I seem to forget a part that my anwser does not make sense. My equation is m2 + 22m + 121.1 solutions Answer 425768 by solver91311(17077) on 2012-12-03 18:38:38 (Show Source): You can put this solution on YOUR website! You don't have an equation. Your expression has to be equal to something for it to be an equation. If is equal to zero, you should say so. I certainly understand why your "anwser" doesn't make sense. I don't know what an "anwser" is. Perhaps if you shared the answer that you got we might be able to point you in the right direction. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Volume/688988: HI I understand how to find the area and volume of a cube but not with an increase so here is my question A metal cube of side l is heated and each side increases by 1%. To the nearest percent find the increase in (a) surface area, (b) volume. the only thing I can get is (a) l^2 x0.01 and (b) l^3 x 0.01 thank you 1 solutions Answer 425767 by solver91311(17077) on 2012-12-03 18:30:53 (Show Source): You can put this solution on YOUR website! The old volume is The new volume will be Percent Increase is The old surface area is The new surface area will be Percent increase as above. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Geometry_proofs/688985: Given: an isosceles triangle def with de=fe and exterior angle efg prove m < efg is greater than m < efd 1 solutions Answer 425764 by solver91311(17077) on 2012-12-03 18:17:47 (Show Source): You can put this solution on YOUR website! Since de and fe are the equal sides of the isosceles triangle, angles d and f must be equal in measure. Since the sum of the interior angles of any triangle is 180 degrees, there can only be one angle greater than or equal to 90 degrees in any triangle. Since the measures of angles d and f are equal, they must therefore each measure less than 90 degrees. By definition, the exterior angle at vertex f (efg) forms a straight angle with interior angle efd. Hence the sum of efg and efd is 180 degrees. Since efd measures less than 90, efg must measure more than 90. Q.E.D. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Equations/688986: How would I solve 3/4d=3/8 1 solutions Answer 425762 by solver91311(17077) on 2012-12-03 18:12:36 (Show Source): You can put this solution on YOUR website! Multiply both sides by 4/3 John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  logarithm/688983: URGENT (HELP!!!!!!!!) HELP ME SOLVE THIS PROBLEM CANNOT FIGURE IT OUT FIND THE CENTER AND THE RADIUS 1.) X^2+Y^2-14X-6Y=231 solutions Answer 425760 by solver91311(17077) on 2012-12-03 18:08:06 (Show Source): You can put this solution on YOUR website! Turn off your Caps Lock and repost John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  logarithm/688987: URGENT (HELP) HELP ME SOLVE THIS SYSTEM OF EQUATIONS 4X^2-Y^2=4 4X^2+Y^2=41 solutions Answer 425759 by solver91311(17077) on 2012-12-03 18:07:39 (Show Source): You can put this solution on YOUR website! Turn off your Caps Lock and repost John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Exponential-and-logarithmic-functions/688946: write an exponential function of the form y=ab^x whose graph passes through the given points. (3,13.5) (5,30.375)1 solutions Answer 425758 by solver91311(17077) on 2012-12-03 18:07:06 (Show Source): You can put this solution on YOUR website! If the curve contains the point then which is to say Similarly, since the curve contains the point , But since , we can write Solving for : From this we get So And finally: John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Probability-and-statistics/688961: how to find a number between 0.64 and 0.81 1 solutions Answer 425756 by solver91311(17077) on 2012-12-03 17:45:44 (Show Source): You can put this solution on YOUR website! Add the two numbers and then divide the sum by 2. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Evaluation_Word_Problems/688952: Prices for the movie were$4.00 for children and $8.00 for adults. The total amount of ticket sales was$1176. There were 172 tickets sold.How many adults and children bought tickets? c=children and a=adults What I tried: 4c+8a=1176 c+a=172 I'm confused on how to solve the number for children tickets I keep getting -40, but I don't think that is right because you can't sell -40 tickets. 1 solutions Answer 425755 by solver91311(17077)   on 2012-12-03 17:44:49 (Show Source): You can put this solution on YOUR website! There are at least 4 ways to solve this, all of which give you the same answer and none of which give you negative numbers for either of the variables. Substitution Elimination method Multiply the 2nd equation by -8 Add the two equations, term by term John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Travel_Word_Problems/688954: A RACE TRACK IS 505 METERS LONG. IF A DRIVER GOES AROUND THE TRACK TWICE, HOW MANY KILOMETERS DID HE TRAVEL?1 solutions Answer 425752 by solver91311(17077)   on 2012-12-03 17:33:59 (Show Source): You can put this solution on YOUR website! Turn off your Caps Lock and then repost. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Mixture_Word_Problems/688891: How much of an alloy that is 10% copper should be mixed with 600 ounces of an alloy that is 90% copper in order to get an alloy that is 40% copper?1 solutions Answer 425751 by solver91311(17077)   on 2012-12-03 17:33:08 (Show Source): You can put this solution on YOUR website! 600 ounces of 90% copper is 540 ounces of pure copper. ounces of 10% copper is ounces of pure copper. ounces of 40% copper is ounces of pure copper, so: Solve for John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Probability-and-statistics/688835: if tiles numbered 1 to 11 are placed in a bag and one tile is drawn from random find the following1 solutions Answer 425719 by solver91311(17077)   on 2012-12-03 16:09:54 (Show Source): You can put this solution on YOUR website! "find the following"? What "following"? Use your head for something besides a hat rack, please. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Geometry_proofs/688884: Im doing proofs can you help me with this: Prove: In an equilateral triangle the three medians are equal.1 solutions Answer 425714 by solver91311(17077)   on 2012-12-03 15:41:20 (Show Source): You can put this solution on YOUR website! Label your equilateral triangle vertices as A, B, and C. Label the intersection of the median from vertex A as D, from vertex B as E, and from vertex C as F. Since a median connects a vertex with the midpoint of the opposite side, AF = FB, BD = DC, and CE = EA. But since ABC is an equilateral triangle, AB, BC, and CA are all congruent, therefore AF = FB = BD = DC = CE = EA. Then, since ABC is equilateral, it is also by definition equiangular. Therefore, triangle ABD is congruent to triangle CBF which is in turn congruent to triangle CAF, all by SAS. Then by CPCT, AD congruent to BE congruent to CF. QED. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Miscellaneous_Word_Problems/688878: A rectangular box with no top is to be made by cutting squares with side length 5 inches from each corner of a square pience of cardboard. If the box must have a volume of 150in squared, then what must the dimensions of the square piece of cardboard be? (round to the neareset tenth of an inch) 1 solutions Answer 425710 by solver91311(17077)   on 2012-12-03 15:29:31 (Show Source): You can put this solution on YOUR website! Volume is in cubic inches, not square inches. You can't make a box just by cutting the corners out of a square; you have to fold up the sides. Given that, you divide by to determine that the area of the base of the box must be . Since you have cut squares out of the corners of a square, the shape of the base of the manufactured box must also be square. Therefore the measure of each side of the base is . Since there is a square cut out of each corner of the original square, the original dimension has to be greater than the measure of the side of the base of the manufactured box. You can do your own arithmetic. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Polynomials-and-rational-expressions/688747: how do I solve and check the algebra problem (6x2 - 31x + 5) divided by (x-5)1 solutions Answer 425693 by solver91311(17077)   on 2012-12-03 12:48:04 (Show Source): You can put this solution on YOUR website!  Just like any other long division problem Use FOIL to check.  John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Trigonometry-basics/683376: what is the distance between points m(6,-16)and z(-1,14),TO THE NEAREST TENTH1 solutions Answer 423548 by solver91311(17077)   on 2012-11-20 17:33:52 (Show Source): You can put this solution on YOUR website! Use the distance formula: where and are the coordinates of the given points. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it