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# Recent problems solved by 'solver91311'

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 Permutations/527586: How many ways are there to assign 10 positions by selecting from 15 players?1 solutions Answer 348973 by solver91311(16868)   on 2011-11-07 15:14:57 (Show Source): You can put this solution on YOUR website! That depends. Are all 15 players equally adept at any of the 10 positions? The question becomes does order matter, which is to say is Pat in position 1 and Sandy in position 2 a different outcome than Sandy in position 1 and Pat in position 2? If yes, then the answer is the number of permutations of 15 things taken 10 at a time: If no, then the answer is the number of combinations of 15 things taken 10 at a time: You can do your own arithmetic. John My calculator said it, I believe it, that settles it
 Graphs/527574: I need help in graphing the given lenear inequalities y > -2x1 solutions Answer 348949 by solver91311(16868)   on 2011-11-07 13:36:45 (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 My calculator said it, I believe it, that settles it
 Graphs/527576: Determine using substitution or addition. 2a+b-2c=5 3b+4c=1 3c=-61 solutions Answer 348948 by solver91311(16868)   on 2011-11-07 13:33:57 (Show Source): You can put this solution on YOUR website! Use substitution. Solve the third equation for . Substitute the derived value for into the second equation, then solve the second equation for . Substitute the derived values for and into the first equation and then solve for . John My calculator said it, I believe it, that settles it
 Rational-functions/527579: Please help with this! I have to simplify each expression 1. (2+3i)(4+5i) 2.(1 + 2i) (6-3i)1 solutions Answer 348947 by solver91311(16868)   on 2011-11-07 13:29:23 (Show Source): You can put this solution on YOUR website! Use FOIL just like multiplying any other pair of binomials. Just remember that In general: John My calculator said it, I believe it, that settles it
 Rational-functions/527580: Please help! I have so simplify each expression: 1. (2 + 3i) + (4+ 5i) 2. (5 + 4i) - (1+2i) 3. (20 + 6i)- (7 + 15i) Thank you so Much!1 solutions Answer 348946 by solver91311(16868)   on 2011-11-07 13:24:07 (Show Source): You can put this solution on YOUR website! Add the real parts and then add the real coefficients of the imaginary parts. The distributive property still applies as regards to the sign between the two complex numbers. In general: or John My calculator said it, I believe it, that settles it
 Triangles/527552: In a certian triangle the measure of the medium-sized angle is three times the measure of the smallet angle and half the measure of the largest angle. What are the measurements of the 3 angles?1 solutions Answer 348945 by solver91311(16868)   on 2011-11-07 13:19:25 (Show Source): You can put this solution on YOUR website! The sum of the interior angles of any triangle is . Do you need more information than that to solve this problem? John My calculator said it, I believe it, that settles it
 Linear-equations/527555: Find an equation of the line containing the given pair of points. (4,1)and (12,6)1 solutions Answer 348931 by solver91311(16868)   on 2011-11-07 12:17:21 (Show Source): You can put this solution on YOUR website! Use the two-point form of an equation of a line: where and are the coordinates of the given points. John My calculator said it, I believe it, that settles it
 Geometry_proofs/526318: Write a two-column proof that the sum of the angle measures pf a quadrilateral is 360 degrees. Begin by drawing quadrilateral ABCD. (hint: you will have to draw one auxiliary line.)1 solutions Answer 348436 by solver91311(16868)   on 2011-11-04 17:44:45 (Show Source): You can put this solution on YOUR website! Draw a diagonal in the quadrilateral forming two triangles. Label the angles in one triangle , , and . Label the angles in the other triangle , , and . Arrange the labels so that and are adjacent and and are adjacent. Then label the angle that is the combination of and with a and the angle that is the combination of and with a . The four interior angles of the quadrilateral should then be , , , and and we want to prove that The interior angles of a triangle sum to 180 degrees (you find the theorem that says so; it is in your Geometry book somewhere.) So and so But by the Angle Sum Postulate and by the Angle Sum Postulate Then By Addition Associativity And then By Substitution of Equality. Q.E.D. John My calculator said it, I believe it, that settles it
 Money_Word_Problems/526320: Nabora Nagamatus depostied a check for $299.45 and check for$229.52 . He recieved \$42.00 in cash. what is her total deposit?1 solutions Answer 348429 by solver91311(16868)   on 2011-11-04 17:19:56 (Show Source): You can put this solution on YOUR website! Add the two deposit amounts and subtract the cash amount. John My calculator said it, I believe it, that settles it
 Volume/526338: In Exercises 63–68, determine the length of the sides and the measures of the angles for the congruent quadrilaterals ABCD and A′B′C′D′ BCD 1 solutions Answer 348428 by solver91311(16868)   on 2011-11-04 17:18:41 (Show Source): You can put this solution on YOUR website! You have got to be kidding. This is Algebra.com. It is NOT the Psychic Hot Line. We can't see your diagram or whatever other information is provided in your textbook. Use your head for something besides a hat rack, please. John My calculator said it, I believe it, that settles it
 Linear-equations/526323: Given the linear equation y = 3x + 1, find the y-coordinates of the points (1, ), (-2, ), (3, ). Please show all of your work. Plot these points and graph the linear equation. 1 solutions Answer 348427 by solver91311(16868)   on 2011-11-04 17:16:16 (Show Source): You can put this solution on YOUR website! Replace x with the given coordinate and then do the arithmetic to determine the value of y. Do this for each of your three points. John My calculator said it, I believe it, that settles it
 Geometry_proofs/526327: complete the two column proof given: angle 2 and angle 5 are supplementary prove: L || M I don't understand it1 solutions Answer 348426 by solver91311(16868)   on 2011-11-04 17:14:51 (Show Source): You can put this solution on YOUR website! No idea how your diagram is numbered, though I assume that the angles you are talking about are formed by a transversal. Can't help you without a diagram. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/526332: A manager of a grocery store took a random sample of 100 customers. Their average checkout time is 3 minutes. The standard deviation of the population is 2 minutes. What is the probability that the average time is greater than 3.6 minutes? Less than 3.4 minutes? I would like to identify a z score for each of the questions, but I don't have a population mean? Can I solve this without that number? 1 solutions Answer 348424 by solver91311(16868)   on 2011-11-04 17:12:14 (Show Source): You can put this solution on YOUR website! What makes you think you don't have a population mean? What do you think the statement "Their average checkout time is 3 minutes" means? John My calculator said it, I believe it, that settles it
 Travel_Word_Problems/526337: What are three different types of models scientists uses :)1 solutions Answer 348422 by solver91311(16868)   on 2011-11-04 17:09:36 (Show Source): You can put this solution on YOUR website! Why would you ask this question on a math site? John My calculator said it, I believe it, that settles it
 Travel_Word_Problems/526336: What are three different types of models scientists uses 1 solutions Answer 348421 by solver91311(16868)   on 2011-11-04 17:09:05 (Show Source): You can put this solution on YOUR website! Why would you ask this question on a math site? John My calculator said it, I believe it, that settles it
 Graphs/526311: In the coordinate plane, the graphs of the equations x^2 + y^2 – 4x + 6y –12 =0 and y = ax^2 + bx + c have exactly 3 points in common . Two of these points are (3, -3) and (7, -3). What are all possible coordinates of the third point? 1 solutions Answer 348420 by solver91311(16868)   on 2011-11-04 17:07:05 (Show Source): You can put this solution on YOUR website! Nope. (3,-3) is NOT on On the other hand (-3,-3) IS on , so on the off chance you made the obvious typo: First complete the square on each of the variables to obtain the standard form of the equation of a circle. (Verification left as an exercise for the student) Note that (-3,-3) and (7,-3) are the endpoints of a horizontal diameter. Hence, if a parabola, which has a vertical line axis of symmetry passes through those two diameter endpoints, the third point of commonality, given exactly three points in common, must be the vertex of the parabola which could intersect the circle at either endpoint of a vertical diameter segment. Find both points on the circle where by evaluating: John My calculator said it, I believe it, that settles it
 Linear-equations/526306: Write the equation of the line in slope-intercept form with a slope of 2 and a y-intercept of -3 1 solutions Answer 348410 by solver91311(16868)   on 2011-11-04 15:31:17 (Show Source): You can put this solution on YOUR website! You cannot write the equation of a line. There are an infinite number of equations whose solution set is a set of ordered pairs that comprise a line in . You can write an equation in slope-intercept form that represents a line. Note that -3 is NOT the -intercept. -3 is the -coordinate of the -intercept. That is because the -intercept is a point and must be fully qualified by an ordered pair. The -intercept of a line in is an ordered pair of the form where is the -intercept of the -coordinate. The slope-intercept form is where is the slope and is the -intercept of the -coordinate. You are given both values, so just substitute them into the form. John My calculator said it, I believe it, that settles it
 Travel_Word_Problems/526300: How long does it take to bike 72 kilometers 1 solutions Answer 348407 by solver91311(16868)   on 2011-11-04 15:18:27 (Show Source): You can put this solution on YOUR website! Depends on how fast you can bike. John My calculator said it, I believe it, that settles it
 Human-and-algebraic-language/526277: MY son in working on algebra 1 word problems, they are very hard for him. Here is one example. The difference of 2 numbers is 8. five times the smaller number equals the greater number. Find the numbers. Please help with this one problem.1 solutions Answer 348404 by solver91311(16868)   on 2011-11-04 15:10:52 (Show Source): You can put this solution on YOUR website! Cut the "My son is..." sympathy play. Just present the problem and ask your question. Helps if you show the work you have done so far. Let represent the larger of the two numbers and let represent the smaller. So we can say: and Solve the 2X2 system. John My calculator said it, I believe it, that settles it
 Rational-functions/526276: Please help with this. How do I add complex numbers? 1. (3+2i)+(4-4i) 2. (1+4i)+ (1-3i) Thank you so much! 1 solutions Answer 348395 by solver91311(16868)   on 2011-11-04 13:32:55 (Show Source): You can put this solution on YOUR website! Add the real coefficients of the real parts to make the real part of the sum. Then add the real coefficients of the imaginary parts to make the imaginary part of the sum. John My calculator said it, I believe it, that settles it
 Permutations/526257: Each three slips of paper have the number 1, 2, or 3 written on it. A slip is drawn, the number recorded, and the slip laid aside. Now a second slip is drawn and the number is recorded. How many outcomes are there?1 solutions Answer 348394 by solver91311(16868)   on 2011-11-04 13:31:11 (Show Source): You can put this solution on YOUR website! 3 ways to pick the first slip, then for each of those 3 ways, there are 2 ways to pick the second slip, making a total of 3 times 2 ways, then only 1 way to pick the remaining slip. 3! John My calculator said it, I believe it, that settles it
 Probability-and-statistics/526262: Two-digit numbers are be made up the digits 2, 3, and 4. How many such numbers can be made if repetition of digits is allowed?1 solutions Answer 348393 by solver91311(16868)   on 2011-11-04 13:29:26 (Show Source): You can put this solution on YOUR website! Each of the three choices for the 10s digit has three possible choices for the 1s digit. 3 times 3. John My calculator said it, I believe it, that settles it
 Linear-equations/526266: I need to graph a line with the indicated slope and y intercept. slope= -6 y-int= (0,9). But I don't know how to graph the slope, because i have never encountered a single number slope... I'm very new to this. previously I have solved slopes like 6/8, or 11/3, but never -6. Can you please help?? Thank you very much.1 solutions Answer 348392 by solver91311(16868)   on 2011-11-04 13:27:45 (Show Source): You can put this solution on YOUR website! Any integer can be represented as a fraction simply by supplying a denominator of 1, thus: So, down 6 and to the right 1. John My calculator said it, I believe it, that settles it
 Permutations/526273: An automobile manufacturer has three different subcompact cars in their line. Customers selecting one of these cars have a choice of two engine sizes, four body styles, and seven color schemes. How many different selections can a customer make? 1 solutions Answer 348391 by solver91311(16868)   on 2011-11-04 13:24:42 (Show Source): You can put this solution on YOUR website! 2 ways to pick the engine. For each of those ways, there are 4 ways to pick the body. 2 times 4 is 8. For each of those 8 combinations of body and engine, there are 7 color schemes, so 56. John My calculator said it, I believe it, that settles it
 Graphs/526271: Write the equation of the line that passes through the point (6, -2) and has a slope of -2/31 solutions Answer 348389 by solver91311(16868)   on 2011-11-04 13:21:48 (Show Source): You can put this solution on YOUR website! You cannot write the equation of a line. You can write as many forms of a possible infinite number of forms of an equation whose solution set is the set of points that comprise a line through a given point and with a given slope as you like. Use the point-slope form of an equation of a line: where are the coordinates of the given point and is the given slope. Then you can put your answer into whatever form(s) you like. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/526269: Please help me solve this problem: Suppose thet IQ scores have a bell-shaped distribution with a mean of 101 and a standard deviation of 15. Using the empirical rule, what percentage of IQ scores are between 86 and 116?1 solutions Answer 348388 by solver91311(16868)   on 2011-11-04 13:15:22 (Show Source): You can put this solution on YOUR website! 86 is 101 minus 15. 116 is 101 plus 15. So your interval is plus or minus one standard deviation. John My calculator said it, I believe it, that settles it
 Triangles/526263: find the perimeter of the triangles whose vertices are the following specified points in the plane (4,-10)(-9,-2)(3,2)1 solutions Answer 348387 by solver91311(16868)   on 2011-11-04 13:13:38 (Show Source): You can put this solution on YOUR website! Use the distance formula to calculate the measure of a side of the triangle. where and are the coordinates of one pair of the given vertex points. Repeat for the other two pairs of points. Sum the three results. John My calculator said it, I believe it, that settles it
 Rectangles/526264: How do I get the length of a rectangle knowing the perimeter and hight?1 solutions Answer 348385 by solver91311(16868)   on 2011-11-04 13:05:30 (Show Source): You can put this solution on YOUR website! Presuming you mean "height" which is typically referred to as "width" because I don't know what "hight" means, use the formula for the perimeter: And then solve for in terms of and John My calculator said it, I believe it, that settles it
 Volume/526254: The dimensions of a rectangular prism are 8 cm x 5 cm x 4 cm. If the dimensions of the rectangular prism are doubled, then what would be the volume of the new prism? 1 solutions Answer 348381 by solver91311(16868)   on 2011-11-04 13:00:05 (Show Source): You can put this solution on YOUR website! The volume of a rectangular prism with dimensions and is given by: If you double each of the dimensions, i.e. and , then the volume is: Therefore: John My calculator said it, I believe it, that settles it
 Numbers_Word_Problems/525789: Find the two digit number. The sum of the digits is 8. The product of the digits is 12. The number is between 30 and 90.1 solutions Answer 348213 by solver91311(16868)   on 2011-11-03 16:57:24 (Show Source): You can put this solution on YOUR website! Let represent one of the digits, and represent the other. Then: Which is to say Then Substituting: Solve the quadratic for . One root will be one of the digits, the other root will be the other digit. The restriction on the output tells you which order to put them in. John My calculator said it, I believe it, that settles it
 Polynomials-and-rational-expressions/525784: Please help me sove this equation: (n^6)^21 solutions Answer 348208 by solver91311(16868)   on 2011-11-03 16:48:49 (Show Source): You can put this solution on YOUR website! What equation? is not an equation. Equations have equal signs (=) in them, showing that one quantity is equal to another. (hence the name). You can, however, simplify your expression using the rule: John My calculator said it, I believe it, that settles it