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solver91311 answered: 16882 problems
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Geometry_Word_Problems/450846: How do you set up the problem: A 24 foot board is cut into 2 pieces. One piece is 24 less than double the other piece. How many feet long is the bigger piece? 1 solutions Answer 310045 by solver91311(16897)   on 2011-05-17 19:12:53 (Show Source): You can put this solution on YOUR website! Presuming that "One piece is 24 less than double the other piece" ACTUALLY means "One piece is 24 INCHES less than double the other piece" proceed as follows: Remembering that 24 inches is actually 2 feet, let represent the measure in feet of one of the pieces and then is the measure, in feet, of the other piece. Then: Solve for and then calculate . John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/450847: Find two consecutive odd integers such that the sum of their squares is 74. 1 solutions Answer 310042 by solver91311(16897)   on 2011-05-17 18:50:26 (Show Source): You can put this solution on YOUR website! Let represent the first odd integer. Then the second odd integer is . The first one squared is: The second one squared is: The sum is: And the sum is equal to 74, so: Divide by 2: Factor and solve the quadratic. John My calculator said it, I believe it, that settles it

Quadratic-relations-and-conic-sections/450840: what shape is given by the equation 2x^2+y^2-5=0 1 solutions Answer 310040 by solver91311(16897)   on 2011-05-17 18:44:34 (Show Source): You can put this solution on YOUR website! 2nd degree equation, so it is a conic. Contains both x-squared and y-squared terms, so NOT a parabola Signs on the x-squared and y-squared terms are the same, so NOT a hyperbola Coefficients on the x-squared and y-squared terms are different, so NOT a circle Only thing left is an ellipse. John My calculator said it, I believe it, that settles it

Miscellaneous_Word_Problems/450827: A cowboy was asked how many cows were on the ranch. He replied that he was unsure, but he knew that when he counted them by twos, threes, fours, fives or sixes he always had one left over. The only way he could avoid this was to count by sevens; he then had non left over. What is the smallest number of cows on the ranch? 1 solutions Answer 310038 by solver91311(16897)   on 2011-05-17 18:37:42 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it

Polygons/450805: True or false: There exists a polygon such that the sum of the measures of the interior angles is 180. 1 solutions Answer 310033 by solver91311(16897)   on 2011-05-17 18:15:13 (Show Source): You can put this solution on YOUR website! What is the sum of the measures of the interior angles of a triangle? John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/450629: Please explain? Give an example of a rational equation for which there is an actual solution and an extraneous solution if you solve the equation using cross products. 1 solutions Answer 310022 by solver91311(16897)   on 2011-05-17 16:32:58 (Show Source): You can put this solution on YOUR website! Cross-multiply: or Exclude because that makes the original RHS undefined. John My calculator said it, I believe it, that settles it

Inequalities/450632: What is 2x - 3 over 5 < 7? Thanks. 1 solutions Answer 309960 by solver91311(16897)   on 2011-05-17 12:46:27 (Show Source): You can put this solution on YOUR website! Is a linear inequality. John My calculator said it, I believe it, that settles it

Probability-and-statistics/450293: How to do this problem Willard has just been given a ten question multiple choice test in one of his classes. each question has five answers only one of which is correct. Since willard has not attended class recently, he does not know any of the answers. assume that willard guesses randomly on all ten questions. Find the probability that he will answer at most 3 questions correctly. 1 solutions Answer 309749 by solver91311(16897)   on 2011-05-16 19:06:18 (Show Source): You can put this solution on YOUR website! The probability of successes in trials where is the probability of success on any given trial is given by: Where is the number of combinations of things taken at a time and is calculated by + You need the probability that he will score 0, 1, 2, OR 3, so: John My calculator said it, I believe it, that settles it

Probability-and-statistics/450295: All new drivers must take the drivers test. Monday eighteen new driver will take the drivers examination. If the probability a new driver passes the drivers test on the first try is .8, find the following probabilities: A. what is the probability that 12 will pass? B. what is the probability that no less than 12 will pass? C. what is the probability that at most 12 will pass? 1 solutions Answer 309743 by solver91311(16897)   on 2011-05-16 18:54:12 (Show Source): You can put this solution on YOUR website! The probability of successes in trials where is the probability of success on any given trial is given by: Where is the number of combinations of things taken at a time and is calculated by Part a): Part b): Part c: John My calculator said it, I believe it, that settles it

Travel_Word_Problems/450282: George a race-walker, is on one end of a 6 mile track. John a average walker is on the other end of the track. The two start walking towards each other and meet in 1/2 hour. If George's average speed exceeds John's by 6 mph, find the speed of both walkers. How do I set up and solve the equation? This is what I came up with: r+6= rate of George 1/2r + 1/2(r+6)=6 John=3 mph 1/2r + 1/2r + 3=6 George=9 mph r + 3=6 r+3-3=6-3 r=3 3+6=9 1 solutions Answer 309739 by solver91311(16897)   on 2011-05-16 18:45:00 (Show Source): You can put this solution on YOUR website! Nothing whatsoever wrong about the way you did the problem. Actually, this is a two-by-two linear system problem that lends itself neatly to solution by the Substitution method. You simply skipped the step of writing the quantity equation that relates the two speeds, solving that equation for one of the speeds, and then substituting the expression into your second equation. But there is nothing wrong with that approach when the relationships are this simple. John My calculator said it, I believe it, that settles it

Points-lines-and-rays/449980: What is the y axis of (2,4), (3,10), and (4,8)? 1 solutions Answer 309730 by solver91311(16897)   on 2011-05-16 18:26:23 (Show Source): You can put this solution on YOUR website! This question makes no sense. 3 non-collinear points do not have a "y-axis" 3 non-collinear points uniquely define a parabola that has a y-intercept. But that is a lot of work for me to do just on a wild guess as to what you meant. Re-post and write your question correctly. John My calculator said it, I believe it, that settles it

percentage/450050: Jim is able to sell a hand-carved statue for $670 which was a 35% profit over his cost. How much did the statue originally cost him? 1 solutions Answer 309625 by solver91311(16897)   on 2011-05-16 11:50:28 (Show Source): You can put this solution on YOUR website! He started with some amount, call it . He multiplied times 35% or rather 0.35. Then he added the result to the original amount, to arrive at a sale price of $670. You can do your own arithmetic. John My calculator said it, I believe it, that settles it

Triangles/450053: The lengths of the legs of a right triangle are 22 feet and 19 feet. which equation would you solve to find the length of the hypotenuse? 1 solutions Answer 309619 by solver91311(16897)   on 2011-05-16 11:45:16 (Show Source): You can put this solution on YOUR website! I wouldn't solve an equation, per se, I would simply do some arithmetic. Square 22, square 19, add the two values, take the square root of the result. But if you insist on an equation: John My calculator said it, I believe it, that settles it

Angles/450049: determine (a) the volume and (b) the surface area of the three-dimensional figure. When appropriate use the pie key on the calculator and round to the nearest hundreth. a round sphere 7 mi 1 solutions Answer 309617 by solver91311(16897)   on 2011-05-16 11:41:52 (Show Source): You can put this solution on YOUR website! The surface area of a sphere is given by: and the volume of a sphere is given by: I can't tell you specifically what to do because you didn't bother to mention whether the "7 mi" is a diameter, radius, or circumference of the given sphere. And by the way, "Pie" is a prepared food item, generally round in shape, with a more or less flaky crust depending on the qualtity, and, when used as a dessert item generally has a sweet filling often made of fruit, or when used as an entrée or side dish item, generally has some sort of savory filling. "Pi" is the generally accepted English language equivalent of the 16th letter of the lower case Greek alphabet, frequently rendered as , representing the fixed but transcendental (because it is not a root of a non-constant polynomial equation with rational coefficients) irrational (because it is not the quotient of two integers) ratio between the circumference of a circle and the diameter of that same circle. John My calculator said it, I believe it, that settles it

Angles/450052: Parallel lines are cut by the transversal shown determine the measures of angles 1 through 7. 30 degree 1 solutions Answer 309615 by solver91311(16897)   on 2011-05-16 11:32:51 (Show Source): You can put this solution on YOUR website! If you don't show the picture or describe specifically which angles are which, then we are only guessing. This is Algebra.com, not the Psychic Hot Line. John My calculator said it, I believe it, that settles it

Probability-and-statistics/450039: A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. Find the probability of the following. a) purple chip then black b) black chip then white chip c) 2 purple chips d) white chip, then purple chip, then black chip e) 3 white chips f) black chip, then white chip, then red chip 1 solutions Answer 309614 by solver91311(16897)   on 2011-05-16 11:31:15 (Show Source): You can put this solution on YOUR website! a) There are 5 purple chips out of 10 total chips, so the probability of picking a purple chip on the first draw is 1/2. Then, given a purple was picked on the first draw with no replacement, there is 1 black chip out of 9 remaining chips, so 1/9. 1/2 times 1/9 = 1/18. Sorry, you only get one problem answered per post. John My calculator said it, I believe it, that settles it

Linear_Equations_And_Systems_Word_Problems/450034: Please help with the following word problem? Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $69 for 3 days and 300 miles, while Mary was charged $123 for 5 days and 600 miles. Find the daily fee and find the mileage charge? I have no idea where to start! Thanks! 1 solutions Answer 309610 by solver91311(16897)   on 2011-05-16 11:15:06 (Show Source): You can put this solution on YOUR website! Let represent the amount charged per mile. Let represent the daily fee. In the first situation, where the mileage fee represents the cost of traveling 300 miles, that cost can be expressed as . That is, the number of miles traveled times the cost per mile. Furthermore, the cost for the daily fee for the 3 days is represented by , i.e. the number of days times the daily fee. The sum of the two is given as $69, hence: In a similar fashion, we can derive another equation that describes the second situation: Now all you have to do is solve the system for the ordered pair . Hint: Since the larger coefficient on is an integer multiple of the other, this system lends itself nicely to the Elimination method. Just multiply the first equation by -2 and proceed. John My calculator said it, I believe it, that settles it

Linear-equations/448746: Can you help with this problem? Consider the equation 2x - 3y = 12. Find the coordinates of three points that satisfy this equation. How do I do this? Thank you. 1 solutions Answer 308744 by solver91311(16897)   on 2011-05-12 19:20:27 (Show Source): You can put this solution on YOUR website! 1. Pick a value for , it can be anything you like, but I would choose a small integer divisible by 3. Note: Either -3, 0, or 3 would do nicely. 2. Substitute the chosen value in place of , then do the arithmetic to determine the resulting value of . 3. Form an ordered pair where the value is the value you chose in step 1 and the value is the value you calculated in step 2. Repeat the process 2 more times chosing a different value for in step 1 each time. John My calculator said it, I believe it, that settles it

Graphs/448744: The slope of the line is -2/3, but the numbering on one axis is missing. How many units should each tick mark on the unnumbered axis represent? 1 solutions Answer 308743 by solver91311(16897)   on 2011-05-12 19:13:01 (Show Source): You can put this solution on YOUR website! Could be anything, it depends on what other information you can glean from your graph. You have provided way too little information. John My calculator said it, I believe it, that settles it

Angles/448707: (4x-1)degrees and (1/2x+10)degrees.note the given is a right angle. 1 solutions Answer 308741 by solver91311(16897)   on 2011-05-12 19:11:04 (Show Source): You can put this solution on YOUR website! Ask a question that can be understood by someone who does not have your book or any of your instructional materials. This is Algebra.com, not the Psychic Hot Line. John My calculator said it, I believe it, that settles it

Radicals/448739: Please help me solve this equation: 1 solutions Answer 308738 by solver91311(16897)   on 2011-05-12 19:03:50 (Show Source): You can put this solution on YOUR website! No solutions. John My calculator said it, I believe it, that settles it

Inequalities/448733: how do i find which ordered pairs are part of the solution set for {y<3x}? 1 solutions Answer 308735 by solver91311(16897)   on 2011-05-12 18:59:18 (Show Source): You can put this solution on YOUR website! I presume you have a set of ordered pairs to test. Otherwise you are in for a very LONG night since the solution set has infinite elements. Take the first value in an ordered pair you want to check and substitute it for x. Take the second value from that same ordered pair and substitute it for y. If the result is a true statement, then the ordered pair is an element of the solution set. Otherwise not. Note the "strictly less than" relationship -- 24 is NOT less than 3 times 8 for example, so the ordered pair (8,24) would NOT be in the solution set, whereas (8,23.99999999999999999999999999999999999) would be. John My calculator said it, I believe it, that settles it

test/448726: This is the equation of a circle: x^2+y^2=40. How do you find the circumference? How do you write the circumference in terms of pi? 1 solutions Answer 308727 by solver91311(16897)   on 2011-05-12 18:50:44 (Show Source): You can put this solution on YOUR website! To find the circumference, you need the radius or the diamenter (which is just two times the radius). or is a circle of radius centered at the origin. So you want 2 times times . Of course, you will need to simplify it. John My calculator said it, I believe it, that settles it

Mixture_Word_Problems/448681: I am stumped on this question, please help The number of N of aluminum cans used each year varies directly as the number of people P using the cans. If 56 people use 19,936 cans in on year, how many cans are used in a city which has a population of 1,221,000? Thank you! 1 solutions Answer 308715 by solver91311(16897)   on 2011-05-12 17:58:09 (Show Source): You can put this solution on YOUR website! Direct variation: Initial Conditions: Solve for k: Write the specific relationship: Substitute new parameter: You can do the arithmetic. John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/448687: The sum of two numbers is 12 and the sum of their squares is 74 1 solutions Answer 308711 by solver91311(16897)   on 2011-05-12 17:44:11 (Show Source): You can put this solution on YOUR website! So? What else do you want to know about them? John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/448578: Factor: 1. 3r^7 - 192r^4= Factor by grouping: 2. 3x^3- 27x^2 - 4x + 36 Factor: 3. a^3 – 49a^2 – 9a + 441 Multiply: 4. (x^4 +x^3)(x^4+ x^3- x^2) Add: 5. (9 + 5x +6x^2 + 8x^3) + (4 – 5x +6x^2 – 8x^3) 1 solutions Answer 308701 by solver91311(16897)   on 2011-05-12 16:11:57 (Show Source): You can put this solution on YOUR website! Let me share something with you. On the webpage where you submit your question, there is a block of text entitled "Read these RULES before submitting your question" Here is one of those rules: "One problem per submission." So my question to you is: Did you not read the rules even though the page says to read them, or did you read them but believe that you are somehow special or more important than anyone else such that the rules don't apply to you? John My calculator said it, I believe it, that settles it

Rational-functions/448585: I don't understand this problem. Given That A= {a,b,c} 1.)List all of the subsets of A that have exactly one element. 2.)List all of the subsets of A that have exactly two elements. 1 solutions Answer 308694 by solver91311(16897)   on 2011-05-12 15:36:03 (Show Source): You can put this solution on YOUR website! which reads: The set A sub 1 which is equal to the set with the single element a is a subset of the set A. and which reads: The cardinality of (meaning the number of elements in) the set A sub 1 is 1 So what other sets are subsets of A and have a cardinality of 1? which reads: The set A sub alpha which is equal to the set with the elements a and b is a subset of the set A. and which reads: The cardinality of the set A sub alpha is 2 So what other sets are subsets of A and have a cardinality of 2? John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/448561: Which of the following CANT be expressed as the sum of the squares of two integers? Is there any formula to solve such problems? (a)13 (b)17 (c)21 (d)29 (e)34 1 solutions Answer 308638 by solver91311(16897)   on 2011-05-12 13:31:19 (Show Source): You can put this solution on YOUR website! The first 5 perfect squares are: 1, 4, 9, 16, and 25. You won't need the 6th one because it is larger than the largest of your choices. Start with your first one, 13. 13 minus 1 is 12. 1 is a perfect square, 12 is not. 13 minus 4 is 9. 4 is a perfect square, 9 is a perfect square, so 13 is the sum of two perfect squares. Eliminate this choice. 17 minus 1 is 16. 1 and 16 are perfect squares. Eliminate choice. Keep going until you find one that is not the sum of two perfect squares. I can say that there is only one in the given list of numbers, but I wouldn't trust me if I were you -- check them all. By the way, the word "can't" is properly spelled with an apostrophe. John My calculator said it, I believe it, that settles it

Graphs/448332: Solve by graphing. 5u+v=24 5u=v+36 the solution set is ____(Type an ordered pair) Is is independent or dependent? Is it consistant or inconsistant? 1 solutions Answer 308491 by solver91311(16897)   on 2011-05-11 19:58:17 (Show Source): You can put this solution on YOUR website! Before you start, you need to determine which of your variables will be the independent variable (on the horizontal axis) and which will be the dependent variable on the vertical axis. The one you choose to be independent is analogous to the x variable in the following discussion. The other one is the y variable. Start with either one of your equations. Step 1. Pick a value for x. It can be anything you like, but 0, 1, or some other small integer usually works well and makes the arithmetic easier. Step 2. Substitute that value in place of x in your equation. Do the arithmetic and determine the value of y that results. Step 3. Take the value of x that you selected for step 1 and the value of y that you calculated in step 2 and form an ordered pair (x,y). Step 4. Plot the ordered pair from Step 3 on your graph. Remember that the x value is the distance right or left along the horizontal axis and the y value is the distance up or down along the vertical axis. Step 5. Repeat steps 1 through 4 with a different value for x. Step 6. Draw a line across your graph that passes through the two points that you plotted. Step 7. Repeat steps 1 through 6 using the other equation. The point where the lines intersect is the solution, because the coordinates of that point will satisfy (read: make true) both of your equations. You need to determine, by inspection of the graph, what the coordinates of that point are and report your answer as an ordered pair, (x,y), using those coordinates. To check your answer, you should substitute this set of coordinates into each of your original equations and verify that you have a true statement for each of the equations. If both lines graph to the same line, then the solution set is infinite, i.e. every ordered pair that satisfies one equation will satisfy the other. If the lines are parallel, then the solution set is empty. A consistent system has at least one solution. An inconsistent system has no solutions. An independent system has exactly one solution. A dependent system has infinitely many solutions. Therefore a system can be either consistent and independent, consistent and dependent, or inconsistent. John My calculator said it, I believe it, that settles it

Travel_Word_Problems/448329: how do u do mixture problems? 1 solutions Answer 308489 by solver91311(16897)   on 2011-05-11 19:54:47 (Show Source): You can put this solution on YOUR website! Depends on the problem. Share a problem and someone will help you. John My calculator said it, I believe it, that settles it

Graphs/448326: Solve by graphing then classify the system. Let 6x-y=26 and 6x+7y=10. The solution set is ____(Type an ordered pair). is is dependent or independent? Is is consistant or inconsistant? 1 solutions Answer 308488 by solver91311(16897)   on 2011-05-11 19:53:33 (Show Source): You can put this solution on YOUR website! Start with either one of your equations. Step 1. Pick a value for x. It can be anything you like, but 0, 1, or some other small integer usually works well and makes the arithmetic easier. Step 2. Substitute that value in place of x in your equation. Do the arithmetic and determine the value of y that results. Step 3. Take the value of x that you selected for step 1 and the value of y that you calculated in step 2 and form an ordered pair (x,y). Step 4. Plot the ordered pair from Step 3 on your graph. Remember that the x value is the distance right or left along the horizontal axis and the y value is the distance up or down along the vertical axis. Step 5. Repeat steps 1 through 4 with a different value for x. Step 6. Draw a line across your graph that passes through the two points that you plotted. Step 7. Repeat steps 1 through 6 using the other equation. The point where the lines intersect is the solution, because the coordinates of that point will satisfy (read: make true) both of your equations. You need to determine, by inspection of the graph, what the coordinates of that point are and report your answer as an ordered pair, (x,y), using those coordinates. To check your answer, you should substitute this set of coordinates into each of your original equations and verify that you have a true statement for each of the equations. If both lines graph to the same line, then the solution set is infinite, i.e. every ordered pair that satisfies one equation will satisfy the other. If the lines are parallel, then the solution set is empty. A consistent system has at least one solution. An inconsistent system has no solutions. An independent system has exactly one solution. A dependent system has infinitely many solutions. Therefore a system can be either consistent and independent, consistent and dependent, or inconsistent. John My calculator said it, I believe it, that settles it