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# Recent problems solved by 'solver91311'

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 Probability-and-statistics/370630: How do you solve: A single card is chosen at random from a standard 52-card deck. What are the odds against it being a red queen? Thank you!1 solutions Answer 264195 by solver91311(16872)   on 2010-11-14 01:14:13 (Show Source): You can put this solution on YOUR website! There are two red queens in a standard 52 card deck, so the probability of selecting a red queen is . That means there are 25 ways that it doesn't happen and 1 way that it does happen. The odds against are then 25:1. John My calculator said it, I believe it, that settles it
 Quadratic_Equations/370199: so. a stage in the park is being decorated for Veterans Day. The stage is rectangular and has an area of 450 square feet. is 80 feet of skirting enough to create a skirt for all four sides of the stage? please show how you came to the answer. thank you!(:1 solutions Answer 263857 by solver91311(16872)   on 2010-11-12 17:12:00 (Show Source): You can put this solution on YOUR website! In a word, no. The largest area rectangle that you can have for a given perimeter is a square with sides that measure one-fourth of the perimeter. For an 80 foot perimeter, the largest possible area is a 20 by 20 foot square. Such a square has an area of 400 square feet -- smaller than the 450 square foot stage that you have. Given that the stage was square, the sides would measure the square root of 450, and 4 times the square root of 450 is approximately 85 feet and any other configuration of rectangle would have an even larger perimeter. John My calculator said it, I believe it, that settles it
 Money_Word_Problems/369838: You are designing a house with three 3-feet-wide windows on the back of the house. There are 4 feet between each end window and an edge of the house. The width of the house is 33 feet. How far apart should the windows be?1 solutions Answer 263533 by solver91311(16872)   on 2010-11-11 19:14:13 (Show Source): You can put this solution on YOUR website! Subtract the 4 feet from each end, 33 minus 8 leaves 25. You want to evenly distribute 3 times 3' = 9 feet of window into a space 25 feet wide. 25 minus 9 is 16. 16 has to be divided evenly between the two spaces on either side of the center window. 8 feet. John My calculator said it, I believe it, that settles it
 Geometry_proofs/369836: How do you find out that lines m and n are parallel with the given information that angles one and two are alternate exterior angles?1 solutions Answer 263532 by solver91311(16872)   on 2010-11-11 19:11:26 (Show Source): You can put this solution on YOUR website! You have to give us the diagram. We have no idea how your lines and angles are arranged. John My calculator said it, I believe it, that settles it
 Trigonometry-basics/369832: Find the angle θ. (Use either the Law of Sines or the Law of Cosines, as appropriate.) (Round your answer to one decimal place.) a = 14, b = 3, c = 15 θ = ?1 solutions Answer 263531 by solver91311(16872)   on 2010-11-11 19:08:35 (Show Source): You can put this solution on YOUR website! Can't help you. You don't relate in any way to the quantities , , and . Even presuming that , , and are the measures of three sides of a triangle, you don't bother to share whether is opposite side , , or -- or even whether is actually an angle in that triangle. You are apparently forgetting that this is Algebra.com, NOT the Psychic Hot Line. John My calculator said it, I believe it, that settles it
 Exponential-and-logarithmic-functions/369820: Find an exponential function with an initial mass = 12mg and increasing at a rate of 10.2% per hour. How would I do this!?1 solutions Answer 263528 by solver91311(16872)   on 2010-11-11 19:02:32 (Show Source): You can put this solution on YOUR website! where is the mass as a function of time, , is the rate of increase/decrease as a decimal, and is the initial mass. For your problem the time units are hours, inital mass is 12mg, and the rate as a decimal is 0.102. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/369161: A catering service offers 9 appetizers, 11 main courses, and 9 desserts. A banquet committee is select one of each item. How many ways can this be accomplished? Can you please show me how to work these problems?1 solutions Answer 263062 by solver91311(16872)   on 2010-11-10 17:17:39 (Show Source): You can put this solution on YOUR website! For each of the 9 appetizers there are 11 ways to select the entrée for 9 times 11 equals 99 ways to select the appetizer and entrée. Then for each of those 99 ways, there are 9 ways to select the dessert, 99 times 9 = 891. John My calculator said it, I believe it, that settles it
 Polynomials-and-rational-expressions/369160: Describe, in your own words, the difference between an expression and an equation. Given an expression, do you simplify or do you solve it? Given an equation, do you simplify or do you solve it? 1 solutions Answer 263047 by solver91311(16872)   on 2010-11-10 16:39:24 (Show Source): You can put this solution on YOUR website! Expression: No equals sign, and you simplify. Equation: Has an equals sign (hence the name) and you solve it. John My calculator said it, I believe it, that settles it
 Triangles/369169: I need to write a proof for 2 triangles with SAS ASA etc, and i dont know what reasons there are! If you could give me a list of reasons and deffinitions of them that are possible to use that would be great!1 solutions Answer 263046 by solver91311(16872)   on 2010-11-10 16:32:27 (Show Source): You can put this solution on YOUR website! There are literally hundreds of them. That's why you have to pay attention in class from the very first day. John My calculator said it, I believe it, that settles it
 Numbers_Word_Problems/369029: unit digit of 2 digit number is 6 more than it's ten's digit.if reverse the digit we find 54 more than original number.find the original number.1 solutions Answer 262989 by solver91311(16872)   on 2010-11-10 11:33:54 (Show Source): You can put this solution on YOUR website! Let represent the 10s digit of the original number. Let represent the units digit of the original number. The original number is then , the number with the digits reversed is , and the digits are related by . If reversing the digits increases the number by 54, then we can say: Since we know that , we can substitute: Which results in the triviality: Ordinarily when solving a system of equations such a result would indicate that the system was consistent and dependent, which is to say that the solution set has an infinite number of elements. However, in this problem our variables are restricted to the set of single digit positive integers, namely The smallest value can assume is 1 which implies that would be 7 and the original number would be 17. could also be 2, 8, and the original number 28, or could be 3, 9, and the original number 39. This exhausts the possibilities. Verification that each of the three results above fit the parameters given in the problem is left as an exercise for the student. John My calculator said it, I believe it, that settles it
 Angles/368781: In the figure below, PQ is perpendicular to the plane. D.Is there a single plane containing A,B,P, and Q?1 solutions Answer 262814 by solver91311(16872)   on 2010-11-09 22:54:48 (Show Source): You can put this solution on YOUR website! Oh, right...just let me look into my crystal ball and I'll be able to see "the figure below..." Are you new? John My calculator said it, I believe it, that settles it
 Triangles/368821: if you have 2 triangles with all 3 angles of 1 triangle equal to all 3 angles of the other triangle but you dont know the lengths of any of the sides, are the triangles congruent non congruent or no conclusion possible.1 solutions Answer 262811 by solver91311(16872)   on 2010-11-09 22:52:06 (Show Source): You can put this solution on YOUR website! You cannot draw a conclusion about congruency (they could be, but might not be), but they are similar. John My calculator said it, I believe it, that settles it
 Linear-systems/368860: As a restaurant owner there are many decisions that you need to make on a daily basis, such as where to keep inventory levels. You wish to replenish your stock of dishes by purchasing 250 sets for your restaurant. You have two dish design from which to choose. One design costs $20 per set and the other$45 per set. If you only have $6,800 to spend, how many of each design should you order? Please help me solve this question1 solutions Answer 262808 by solver91311(16872) on 2010-11-09 22:48:51 (Show Source): You can put this solution on YOUR website! Let represent the number of$20/set sets and represent the number of $45/set sets. Then: Elimination is the easiest for this system. Multiply the first equation by Add the two equations: From which you get: hence Check by substituting the calculated values back into the two equations to ensure that both equations are true statements when the values are inserted. John My calculator said it, I believe it, that settles it  Polynomials-and-rational-expressions/368675: I was not in class today and they worked on Polynomials . I need to understand how to do this .1 solutions Answer 262686 by solver91311(16872) on 2010-11-09 18:46:00 (Show Source): You can put this solution on YOUR website! Sure, no problem. We'll just put an entire day's lesson right here in this little box. Ask a specific question and someone will be able to help you. And your little "I was not in class today" excuse is about as lame as they come. A typical beginning or intermediate Algebra class will spend weeks on polynomials. John My calculator said it, I believe it, that settles it  Money_Word_Problems/368601: Here is my problem that I am stuck with and do not know how to finish: The problem is on Systems of Linear Equations; Matrices. The problem is: As the restaurant owern there are many decisions that you need to make on a daily basis, such as wher to keep inventory levels. You wish to replenish our stock of dishes by purchasing 250 sets for your restaurant. You have two dish design from which to choose. One design costs$20 per set and the other $45 per set. If you only have$6,800 to spend, how many of each design should you offer Hint: Let x = the number of sets of $20 dishes and y = the number of sets of$45 dishes. Solve the equations for the different dish designs to be ordered with the desired technique: graphing, substitution, elimination matrix. Explain how to check your solution for both equations. This is as far as I got because I really don't understand it. x = $20, y =$45, total of 250, x + y = 250, $20x + 45y =$6,800 My email address is nifty_at_fifty57@yahoo.com Thank you1 solutions Answer 262656 by solver91311(16872)   on 2010-11-09 17:09:37 (Show Source): You can put this solution on YOUR website! Your equations are spot on. Elimination is the easiest for this system. Multiply the first equation by Add the two equations: From which you get: hence Check by substituting the calculated values back into the two equations to ensure that both equations are true statements when the values are inserted. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/368498: If you play a game that consists of rolling a single fair die and pays off at $3.00 for a 6$2.00 for a 5 $1.00 for a 4 And no payoff otherwise, what is a fair price to pay to play this game. I got the expected winnings part of the question but, I am having trouble figuring out the fair price to play.1 solutions Answer 262652 by solver91311(16872) on 2010-11-09 16:57:41 (Show Source): You can put this solution on YOUR website! There is nothing to figure out. The fair price to play IS the expected winnings. That way, over time both the game operator and the player break even. Since you can't wager a half-cent, you should make the price to play$1.99 for two plays. John My calculator said it, I believe it, that settles it
 logarithm/368568: you invest P dollars in an account that compounds monthly. how long will it take for the account to double to 2P dollars if the annual interest rate is the following. solve using logarithms. 2% 1 solutions Answer 262647 by solver91311(16872)   on 2010-11-09 16:43:44 (Show Source): You can put this solution on YOUR website! The formula for the Future Value, , of an investment at interest rate, , percent per annum compounded times per annum for years is: Since you want your investment to double, , hence: And we need to solve for . The first thing to do is use the Rule of 72 in your head to get an approximation of the answer so that you make sure your answer is at least reasonable. Divide 72 by the interest rate to get an approximation of the time it takes an investment to double: 36 years in this case. Simplify inside the parentheses and then take the natural log of both sides: Use the rules of logs: to write: Then solve for : The rest is just poking fun at your calculator. John My calculator said it, I believe it, that settles it
 Geometry_proofs/368569: how do you solve a two column proof that says the following: Given: segment AB is congruent to segment ED, segment CA is congruent to segment CE, and segment AC bisects segment BD; prove that triangle ABC is congruent to triangle EDC? I really do not understand these proofs at ALL.1 solutions Answer 262640 by solver91311(16872)   on 2010-11-09 16:24:53 (Show Source): You can put this solution on YOUR website! Sorry, can't see your diagram. John My calculator said it, I believe it, that settles it
 Expressions-with-variables/368567: The fixed costs of manufacturing basketballs in a factory are $1,400.00 per day. The variable costs are$5.25 per basketball. Which of the following expressions can be used to model the cost of manufacturing b basketballs in 1 day?1 solutions Answer 262638 by solver91311(16872)   on 2010-11-09 16:22:22 (Show Source): You can put this solution on YOUR website! Something equivalent to: John My calculator said it, I believe it, that settles it
 Linear_Algebra/368541: Hello, Can someone please help me to solve this equation to create an equation table using x, y,(x,y). y=-1/2x-4 (the "/" symbol represents 1 over 2) 1 solutions Answer 262634 by solver91311(16872)   on 2010-11-09 16:20:04 (Show Source): You can put this solution on YOUR website! Step 1: Select a value for . It can be anything you like, but I recommend choosing a small even integer for this problem. Step 2: Do the indicated arithmetic to determine the value of that corresponds to the selected value of . Step 3: Create the ordered pair using the values determined in steps 1 and 2. Step 4: Record the results of steps 1 through 3 as one row of your table. Step 5: Repeat the steps 1 through 4 at least one more time. You may have to repeat the first four steps several times depending on the number of table entries required by your text or your instructor's instructions. John My calculator said it, I believe it, that settles it
 Numbers_Word_Problems/368264: show that the sum of any consecutive odd whole numbers has any factor of 5. 1 solutions Answer 262414 by solver91311(16872)   on 2010-11-09 01:09:51 (Show Source): You can put this solution on YOUR website! Can't do it. That is because, in general, the sum of two consecutive odd numbers (odd has no meaning unless the numbers are whole) is divisible by 4. The odd number is . The next consecutive odd number is . The sum is John My calculator said it, I believe it, that settles it
 Rational-functions/368261: e^2x - 4e^x + 3 = 0; upon recognizing that e^2x = (e^x)^2, and thus the above equation is a quadratic in terms of e^x. Solve the equation 1 solutions Answer 262413 by solver91311(16872)   on 2010-11-09 00:59:11 (Show Source): You can put this solution on YOUR website! Factor it. Hence: or From there use: and is the same thing as John My calculator said it, I believe it, that settles it
 Probability-and-statistics/368252: An instructor gives his class a set of 17 problems with the information that the next quiz will consist of a random selection of 6 of them. If a student has figured out how to do 13 of the problems, what is the probability the he or she will answer correctly (a) all 6 problems?1 solutions Answer 262409 by solver91311(16872)   on 2010-11-09 00:44:13 (Show Source): You can put this solution on YOUR website! You really cannot calculate this probability in any real sense. Just because you know that the student knows how to do 13 of the 17 problems correctly tells you nothing about how the student is likely to perform on the other four problems. If you add the condition that if one of the remaining 4 problems appears on the exam that the student is guaranteed to answer incorrectly, then proceed as follows: 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 Note that and Hence: You can do your own arithmetic. John My calculator said it, I believe it, that settles it
 Geometry_Word_Problems/368255: The base of the triangle is 9 feet longer then the height. The area of the triangle is 68 feet. How long is the base?1 solutions Answer 262407 by solver91311(16872)   on 2010-11-09 00:28:13 (Show Source): You can put this solution on YOUR website! The area of a triangle is calculated by But since your base is 9 feet longer than the height, and the area is 68, you can write: Solve the quadratic for the positive root. John My calculator said it, I believe it, that settles it
 logarithm/368248: Hi! I need help to get the same answer as in the sheet. http://www.vusd.org/webpages/rbrown/files/precalc%20review%203%20answers.pdf My question is number 26. Thank you!1 solutions Answer 262405 by solver91311(16872)   on 2010-11-09 00:20:19 (Show Source): You can put this solution on YOUR website! Share the answer you did get so that I can figure out where you went wrong. John My calculator said it, I believe it, that settles it