Algebra ->  Tutoring on algebra.com -> See tutors' answers!      Log On

 Tutoring Home For Students Tools for Tutors Our Tutors Register Recently Solved
 By Tutor
| By Problem Number |

Tutor:

Recent problems solved by 'nyc_function'

Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729, >>Next

 Probability-and-statistics/343368: A teacher will select 5 questions from 12 available questions. How many different arrangements are possible for the 5 selected questions? I got: (5)(4)(3)(2)(1)= 120 Am I even using the correct formula?1 solutions Answer 245692 by nyc_function(2733)   on 2010-09-15 08:27:23 (Show Source): You can put this solution on YOUR website!Given the 5 questions selected there are 5! = 120 arrangements. But I think your question is how many 5-question sets can be made from the 12 questions. The answer to that is 12C5 = 12! / (5!)(7!) = 792
 Probability-and-statistics/343367: If three people are randomly sampled, what is the probability that one is born on your birthday? (assume 365 days in a year). I got: 3/365 = .82% ...... This doesn't even look right to me?1 solutions Answer 245690 by nyc_function(2733)   on 2010-09-15 08:26:21 (Show Source): You can put this solution on YOUR website!The answer is 398,581/48,627,125 or approximately 0.0082. Call the people Al, Betty, and Chuck. The probability that Al isn't born on your birthday is 364/365. Likewise for Betty and Chuck. These three probabilities are independent (knowing Al's birthday doesn't influence your probability for Betty), so we can find the probability that *none* of these people share your birthday by multiplying: 364/365 * 364/365 * 364/365 = 48,228,544/48,627,125. But we want the probability that one of these people *does* share your birthday. This is exactly the negation of the event that none of them share your birthday, so the probability is one minus that; 1 - 48,228,544/48,627,125 = 398,581/48,627,125. Another approach to this problem: there are 48,627,125 possible arrangements of these people's birthdays (365*365*365). Of these, there are (1*365*365 + 364*1*365 + 364*364*1), or 398,581, arrangements in which at least one person shares your birthday. So, the probability of that event is 398,581/48,627,125.
 Linear-equations/343187: Find an equation of the line containing the points (3,5) and (9,9) 1 solutions Answer 245599 by nyc_function(2733)   on 2010-09-14 21:07:54 (Show Source): You can put this solution on YOUR website!We first need to find the slope. Let m = slope m = (9 - 5)/(9 - 3) m = 4/6 m = 2/3 The slope of the equation we are looking for is 2/3. We now plug one of the points given (your choice which point to use) and the slope into the point-slope formula and solve for y. y - y1 = m(x - x1)....This is the point-slope formula found in most math books. I will use the point (3,5) but you can use the other point if you'd like. y - 5 = 2/3(x - 3) y - 5 = (2/3)x - 2 y = (2/3)x - 2 + 5 y = (2/3)x + 3 Understand?
 Permutations/343177: How many three letter combinations can be made fro the letters in the word MATH?1 solutions Answer 245595 by nyc_function(2733)   on 2010-09-14 20:56:40 (Show Source): You can put this solution on YOUR website!We use nCr = n!/r!(n - r)! Let n = 4 Let r = 3 4C3 = 4!/3!(4 - 3)! 4C3 = 24/6(1!) 4C3 = 24/6(1) 4C3 = 24/6 4C3 = 4
 Human-and-algebraic-language/343240: The team played 75 games. They won 3 times the number. Find the number.1 solutions Answer 245593 by nyc_function(2733)   on 2010-09-14 20:51:36 (Show Source): You can put this solution on YOUR website!Let n = the number 3n = total games they won 3n = 75 n = 75/3 n = 25
 Linear-equations/343239: a-7=41 solutions Answer 245592 by nyc_function(2733)   on 2010-09-14 20:49:39 (Show Source): You can put this solution on YOUR website!a - 7 = 4 To find the value of a, just add 7 to 4. a = 4 + 7 a = 11 Understand?
 Signed-numbers/343215: i don't understand the equation 62-35=x1 solutions Answer 245591 by nyc_function(2733)   on 2010-09-14 20:48:33 (Show Source): You can put this solution on YOUR website!62-35 = x Subtract to find the value for x. 62 - 35 = 27 Then x = 27
 Numbers_Word_Problems/343218: the sum of two numbers is 57. if the larger of the two numbers is 4 less than five times the smaller. find the two numbers.1 solutions Answer 245590 by nyc_function(2733)   on 2010-09-14 20:46:25 (Show Source): You can put this solution on YOUR website!Let x = smaller number Let y = bigger number x + y = 57 y = 5x - 4 You can solve this by using the substitution method. Can you do it now?
 Linear-equations/343231: How would you graph the inequality on a plane? 5x-6y<301 solutions Answer 245587 by nyc_function(2733)   on 2010-09-14 20:44:39 (Show Source): You can put this solution on YOUR website!Visit the link below to see your graph. http://mathway.com/answer.aspx?p=grap?p=5x-6ySMB0230?p=False?p=False?p=True?p=False?p=True
 Equations/343235: Twice the greater of two consecutive odd integers is 13 less than three times the lessor. Find the integers1 solutions Answer 245586 by nyc_function(2733)   on 2010-09-14 20:43:14 (Show Source): You can put this solution on YOUR website!x = lesser of two consecutive odd numbers x + 2 = greater of two consecutive odd numbers 2(x + 2) = 3x - 13 Can you take it from here?
 Distributive-associative-commutative-properties/342932: I have some factoring problems.. I have solved some, but the others just dont work. 3x(a-3)-5(3-a) I don't even know where to start, it looks factored to me? 20x^2-7x-6. I have tried about every different combination I can for foil for this one, it just does not work itself out.. It is driving me CRAZY!!! 4x^4 + 12x^3- 28x^2. I don't even know where to start to be honest. Is this a foil problem? Thank you for your time..I can not tell you how valuable this site has been to me.1 solutions Answer 245428 by nyc_function(2733)   on 2010-09-14 12:10:19 (Show Source): You can put this solution on YOUR website!The expression 3x(a-3)-5(3-a) becomes 3x(a-3)-5(3-a) after using the distributive rule. 20x^2 - 7x - 6 factors out to be (5x+2)(4x-3). To factor this one, I used the GROUPING METHOD. 4x^4 + 12x^3- 28x^2 factors out to be 4x^2(x^2 + 3x - 7). To factor this one, I needed to do some extra substitutions in terms of letting y = x^2. Done!
 Equations/342924: Translate into an equation Given two numbers with a sum of 40, the sum of the smaller number and five more than the larger number is 571 solutions Answer 245426 by nyc_function(2733)   on 2010-09-14 12:04:32 (Show Source): You can put this solution on YOUR website!Let x = small number Let y = bigger number x + y = 40 x + y + 5 = 57 You have two equations in two variables. In other words, you have a system of two linear equations. I guess you don't need to solve this system because you requested a translation of words to equations.
 Angles/342925: two angles are supplementary angles. The measure of the larger angle is 5 degrees more than 3 times the measure of the smaller angle. find the measure of the two angles.1 solutions Answer 245425 by nyc_function(2733)   on 2010-09-14 12:00:42 (Show Source): You can put this solution on YOUR website!Let x = bigger angle Let y = smaller angle x + y = 180 x = 3y + 5 I will solve by substitution. 3y + 5 + y = 180 4y + 5 = 180 4y = 180 - 5 4y = 175 y = 175/4 y = 43.75 degrees. The smaller angle is 43.75 degrees. The larger angle is 180 - 43.75 or 136.25 degrees.
 Radicals/342898: elana begins with a large square sheet that is 169 square inches. how many squares can she cut out the paper that are 4 inches on each side?1 solutions Answer 245413 by nyc_function(2733)   on 2010-09-14 11:15:45 (Show Source): You can put this solution on YOUR website!Two squares: one has an area of 169 and the other has 4 inches on one side. The square with 169 square inches has a side of 13 inches since 13 times 13 = 169. The other square has 4 inches on one side, which means it has an area of 16 square inches. Area of big square divided by area of little square = 169/16 = 10.5625. We can round this off to the nearest tens place and get 10. She should be able to cut at least 10 little squares.
 Graphs/342904: How do i graph y=-3x1 solutions Answer 245408 by nyc_function(2733)   on 2010-09-14 11:08:34 (Show Source): You can put this solution on YOUR website!Copy and paste the link below to see your graph. http://mathway.com/answer.aspx?p=grap?p=ySMB01-3x?p=False?p=False?p=True?p=False?p=True
 Graphs/342905: How do i graph the line y=31 solutions Answer 245406 by nyc_function(2733)   on 2010-09-14 11:07:38 (Show Source): You can put this solution on YOUR website!Copy and paste the link below to see your graph. It is simply a horizontal line at y = 3. http://mathway.com/answer.aspx?p=grap?p=ySMB013?p=False?p=False?p=True?p=False?p=True
 Graphs/342907: Graph the line x=-21 solutions Answer 245405 by nyc_function(2733)   on 2010-09-14 11:06:44 (Show Source): You can put this solution on YOUR website!Copy and paste the link below to see your graph. It is simply a vertical line at x = -2. http://mathway.com/answer.aspx?p=grap?p=xSMB01-2?p=False?p=False?p=True?p=False?p=True
 Radicals/342910: The question is 2 times the square root of 32 PLUS 3 times the square root of 8 MINUS 4 times the square root of 18. Please help.1 solutions Answer 245404 by nyc_function(2733)   on 2010-09-14 11:05:10 (Show Source): You can put this solution on YOUR website!Let sqrt = square root for short sqrt[32] + 3(sqrt[8]) - 4(sqrt[18]) = Break down every square root. Your goal is to get the same radicand for every term. sqrt[32] = 8(sqrt[2]) 3(sqrt[8]) = 6(sqrt[2]) 4(sqrt[18]) = 12(sqrt[2]) We now have 8(sqrt[2]) + 6(sqrt[2]) - 12(sqrt[2]) Notice how every radical has the same number 2. This was the goal. We now simplify 8(sqrt[2]) + 6(sqrt[2]) - 12(sqrt[2]). 8(sqrt[2]) + 6(sqrt[2]) - 12(sqrt[2]) = 14(sqrt[2]) - 12(sqrt[2]). 14(sqrt[2]) - 12(sqrt[2]) = 2(sqrt[2]) as the final answer. Did you follow?
 Geometry_Word_Problems/342909: what shape am i? all my angles are obtuse and the sum of my angles are 720 degrees1 solutions Answer 245403 by nyc_function(2733)   on 2010-09-14 10:58:30 (Show Source): You can put this solution on YOUR website!The sum of the interior angles of a hexagon is 720 degrees. The answer is hexagon.
 Expressions-with-variables/342912: Translate to an algebraic expression, equation, or inequality. Eight less than twice five less than a number.1 solutions Answer 245402 by nyc_function(2733)   on 2010-09-14 10:54:39 (Show Source): You can put this solution on YOUR website!I read the question a second time and found that the true answer is 2(n - 5) - 8. Again, you can use any variable of choice. Understand?
 Polygons/341966: How do we find the area of polygon having sides 3,4,5,5,5 ?1 solutions Answer 245401 by nyc_function(2733)   on 2010-09-14 10:52:49 (Show Source): You can put this solution on YOUR website!You are given 5 sides. This is a pentagon. Copy and paste the following link to learn about finding the area of a pentagon. http://jwilson.coe.uga.edu/EMAT6680/Parsons/MVP6690/Unit/Pentagon/pentagon.html
 Permutations/342821: 12 individuals are part of a group of trustees of a particular company. There are 5 positions that need to be filled on the board. How many different ways can the board positions be filled?1 solutions Answer 245397 by nyc_function(2733)   on 2010-09-14 10:40:43 (Show Source): You can put this solution on YOUR website!Given the 5 questions selected there are 5! = 120 arrangements. But I think your question is how many 5-question sets can be made from the 12 questions. The answer to that is 12C5 = 12! / (5!)(7!) = 792
 Linear-systems/342881: IQ=100M/C SOLVE FOR M CAN YOU PLEASE EXPLAIN HOW TO DO THIS KIND OF PROBLEM THANK YOU 1 solutions Answer 245395 by nyc_function(2733)   on 2010-09-14 10:37:28 (Show Source): You can put this solution on YOUR website!This is more a literal equation. We begin by multiplying both sides by C. After doing that, we get IQC = 100M. To solve for M (or any other variable) means to isolate the variable. To isolate M, we divide both sides by 100. Final answer: IQC/100 = M Did you follow?
 Expressions-with-variables/342890: please help me solve this equation1 solutions Answer 245392 by nyc_function(2733)   on 2010-09-14 10:32:38 (Show Source): You can put this solution on YOUR website!This is not an equation. This is called an expression. 125x - y +(-74)y + 5x + 28 125x - y - 74y + 5x + 28 130x - 75y + 28 Did you follow?
 Probability-and-statistics/342888: A teacher will select 5 questions from 12 available questions. How many different arrangements are possible for the 5 selected questions? I got: (5)(4)(3)(2)(1)= 120 ways1 solutions Answer 245391 by nyc_function(2733)   on 2010-09-14 10:28:37 (Show Source): You can put this solution on YOUR website!Given the 5 questions selected there are 5! = 120 arrangements. But I think your question is how many 5-question sets can be made from the 12 questions. The answer to that is 12C5 = 12! / (5!)(7!) = 792
 Miscellaneous_Word_Problems/342882: The volume of a rectangular Chinese box is given by the formula V=LWH. The Volume is 297cu units. Find the width and length. Length = x+2 width = x height = 3 can you show the steps also?1 solutions Answer 245389 by nyc_function(2733)   on 2010-09-14 10:22:49 (Show Source): You can put this solution on YOUR website!V = LWH Let V = 297 Let L = (x + 2) Let W = x Let H = 3 297 = (x + 2)(x)(3) 297 = (x + 2)(3x) 297 = 3x^2 + 6x 0 = 3x^2 + 6x - 297 At this point, we have a quadratic equation. After doing the math, I got x = -11 and x = 9. Since we are talking about distances, we reject -11 and accept x = 9. The length = x + 2 or 9 + 2 = 11. Thw width is 9.
 Probability-and-statistics/342884: How many ways can 6 different lamps be arranged on a shelf? I got: (6)(5)(4)(3)(2)(1)= 7201 solutions Answer 245388 by nyc_function(2733)   on 2010-09-14 10:18:20 (Show Source): You can put this solution on YOUR website!You are right! 6! = 720
 Quadratic_Equations/342883: please help me solve this equation 1 solutions Answer 245387 by nyc_function(2733)   on 2010-09-14 10:17:33 (Show Source): You can put this solution on YOUR website!y^2 + 7y + 6 = 0 (y + 1)(y + 6) = 0 Set each factor to zero and solve for y. y + 1 = 0 y = -1 y + 6 = 0 y = -6 Answers: y = -1 and y = -6
 Linear-equations/342253: 3(2x-5)-x= -7(x+3) how do you solve and check the quation using distributive property?1 solutions Answer 245372 by nyc_function(2733)   on 2010-09-14 08:51:45 (Show Source): You can put this solution on YOUR website!3(2x-5)-x= -7(x+3) 6x - 15 - x = -7x - 21 5x - 15 = -7x - 21 5x + 7x = -21 + 15 12x = -6 x = -6/12 x = -1/2 To check, replace every x with -1/2 in your original linear equation. If you get the same answer on both sides, you'll then know if x = -1/2 is correct. I'll let you do the checking.
 Linear-equations/342254: 7(t-3) = 2(t-9)+2t how do you solve and check the quation using distributive property?1 solutions Answer 245371 by nyc_function(2733)   on 2010-09-14 08:47:17 (Show Source): You can put this solution on YOUR website!7(t-3) = 2(t-9)+2t 7t - 21 = 2t - 18 + 2t 7t - 21 = 4t - 18 7t - 4t = -18 + 21 3t = 3 t = 3/3 t = 1 To check, replace every t with 1 in your original linear equation. If you get the same answer on both sides, you'll then know that t = 1 is correct.
 Permutations/342723: Each event can occur in the given number of ways. Find the number of ways all of the events can occur. Event 1: 3 ways; Event 2: 7 ways This question is in my Algebra 2 workbook for practice on Permutation.1 solutions Answer 245370 by nyc_function(2733)   on 2010-09-14 08:40:14 (Show Source): You can put this solution on YOUR website!Have you tried the permutation formula nPr? n = 7 r = 3 nPr = n!/(n - r)! Just plug and chug. Can you do it now?