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 'rapaljer'

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 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679, >>Next

 Miscellaneous_Word_Problems/87637: Please i need help on this question: Of the following, the most nearly accurate set of equivalents is: A. 1ft. equals 30.48 centimeters B. 1 centimeter equals 2.54 inches C. 1 rod equals 3.28 meters D. 1 meter equals 1.09 feet1 solutions Answer 63528 by rapaljer(4667)   on 2007-07-08 23:44:41 (Show Source): You can put this solution on YOUR website!Of your 4 choices: A. 1ft. equals 30.48 centimeters --TRUE, since 12*2.54 = 30.48 cm. B. 1 centimeter equals 2.54 inches FALSE--1 inch = 2.54 cm. C. 1 rod equals 3.28 meters -- I have no idea!! Do a Google search for "Unit of Measure Rod" and see what you get! D. 1 meter equals 1.09 feet--FALSE, since a meter is slightly more than a yard (which is 3 feet!) My answer is A. R^2 Retired from SCC
 Miscellaneous_Word_Problems/87627: Please i need help on this question: A plane leaves Denver, colorado, on June 1st at 1 p.m. Mountain Standard Time and arrives at New York City on June 2nd at 2 A.m. Eastern Daylight Saving Time. the actual time of this flight was... A. 10 hours B. 11 hours C. 12 hours D. 13 hours1 solutions Answer 63527 by rapaljer(4667)   on 2007-07-08 23:35:37 (Show Source): You can put this solution on YOUR website!A plane leaves Denver, colorado, on June 1st at 1 p.m. Mountain Standard Time and arrives at New York City on June 2nd at 2 A.m. Eastern Daylight Saving Time. the actual time of this flight was... A. 10 hours B. 11 hours C. 12 hours D. 13 hours I don't do much traveling, but there are two hours of difference between Mountain Standard Time and Eastern Standard Time, right? However, Daylight Saving Time is one hour EARLIER than Eastern Standard Time, so the total difference in time is 3 hours. Therefore, when it is 2 A.M. in New York, it is really only 11 p.m. in Colorado, for a flight of 10 hours. As a confirmation, here is another way to explain it: 2 a.m. EDT in NY = 1:00 a.m. EST in NY 1:00a.m. EST in NY = 11:00 p.m. MST in Colorado Flight was from 1 p.m. to 11:00 p.m., which is 10 hours. I'm not going to bet my life on this one, but I'm pretty sure the answer is A. 10 hours. See if my argument sounds right. Re-post the question, and see if anyone else agrees or disagrees with me. R^2 Retired from SCC
 Linear-systems/87578: This question is from textbook Beginning Algebra Good Evening Tutor, I have a question from a question in the textbook. The area of a triangle is A=1/2bh. My question asks: Solve each literal equation for the indicated variable. I am solving (for b) the area of a trapezoid and the equation is A=1/2h (B+b) I am unsure how to change the equation to find b can you please explain to me what equation to use and why? I am sure that B+b will be the lengths of the 2 parallel sides but I am unsure how to get to the answer. Thank you greatly for your help. 1 solutions Answer 63496 by rapaljer(4667)   on 2007-07-08 20:11:13 (Show Source): You can put this solution on YOUR website! From the beginning notice that B and b represent different variables! Start by clearing the fraction. Multiply both sides by 2. Next, use the distributive property to remove the parentheses: Next, you must isolate the b term. Subtract Bh from each side. Finally, you need to get the "b" by itself, so you need to "undo" the "h" that is multiplied times the "b". Because the operation is multiplication, you will need to DIVIDE both sides by h. I should have a lesson plan in algebra.com on Literal Equations. Also, check my own website by clicking on my tutor name anywhere in algebra.com. Go to MATH IN LIVING COLOR, and look in Intermediate Algebra, in Section 1.04 and also Section 2.07. R^2 Retired from SCC
 Expressions-with-variables/87567: This question is from textbook Intermediate Algebra Write an equation that has the solutions x=4 and x=-2. 1 solutions Answer 63495 by rapaljer(4667)   on 2007-07-08 19:55:02 (Show Source): You can put this solution on YOUR website!x=4 and x=-2 (x-4) =0 and (x+2) = 0 (x-4)(x+2) = 0 R^2 Retired from SCC
 Exponents-negative-and-fractional/87575: Simplify. x^2-7x+10/x^2-41 solutions Answer 63494 by rapaljer(4667)   on 2007-07-08 19:51:44 (Show Source): You can put this solution on YOUR website!The first step is to factor the numerator and denominator. Divide out the FACTORS of (x-2): See also my lesson plans in algebra.com or go to my own website by clicking on my tutor name "rapaljer" anywhere in algebra.com. Look for MATH IN LIVING COLOR. In Basic Algebra, this topic of Reducing Fractions will be in Chapter 3. In Intermediate Algebra (for more advanced problems!), it will be in Chapter 2. R^2 Retired from SCC
 Equations/87563: This question is from textbook Beginning Algebra Tutor Please Help...This question is from a textbook and I keep getting different answers. Solve for x and check your result: 6x-1 over 5 minus 2x over 3 = 3 6x-1/5 - 2x/3 = 3 Sorry I am not sure how to do the fractions I will try and type it below 6x-1 - 2x ----------------- = 3 5 3 I have come up with 1.5, 2.1, & 6 I am thinking 6 may be close but I can not get any numbers so far to come out properly when I check. Any insight into this problem would be greatly appreciated. Thank you. 1 solutions Answer 63491 by rapaljer(4667)   on 2007-07-08 18:22:47 (Show Source): You can put this solution on YOUR website! First find the LCD, which is 15. Multiply both sides of the equation by the LCD of 15. Divide out the denominators of 5 and 3 respectively, and it should look like this: Check by substitution: It checks! R^2 Retired from SCC
 Numeric_Fractions/87513: how do you find lowest common denominators1 solutions Answer 63483 by rapaljer(4667)   on 2007-07-08 15:58:05 (Show Source): You can put this solution on YOUR website!I have an entire lesson plan on finding Least Common Denominators. Look for it in algebra.com. Also, please check my own website by clicking on my tutor name "rapaljer" anywhere in algebra.com, then click on "Basic Algebra", "Samples from Basic Algebra: One Step at a Time". In "Chapter 3", look for "Section 3.03: Least Common Denominators." R^2 Retired from SCC
 Graphs/87523: graph f(x0 = 3X = 2 ok I think we first have to solve for x 1 solutions Answer 63482 by rapaljer(4667)   on 2007-07-08 15:50:30 (Show Source): You can put this solution on YOUR website!Maybe you should recheck the problem. I think you have a couple of typographical errors in this.
 Linear-equations/87544: This question is from textbook elementtary algebra and intermediate algebra 1 solutions Answer 63481 by rapaljer(4667)   on 2007-07-08 15:49:04 (Show Source): You can put this solution on YOUR website!You need to state the problem! We don't have your book!!
 Polynomials-and-rational-expressions/87557: Hello there! Im having problems with this equation. 5t^3/4t-8 * 6t-12/10t thanks for your help1 solutions Answer 63479 by rapaljer(4667)   on 2007-07-08 15:47:04 (Show Source): You can put this solution on YOUR website!Assuming that this is what you mean: Factor the denominator of the first fraction and the numerator of the second fraction: Divide out the factors of (t-2): When you multiply, this leaves: Reduce the fraction, by dividing out the 10 and t, which leaves factors of 3 and t^2 in the numerator, and a factor of 4 in the denominator. R^2 Retired from SCC
 Quadratic_Equations/87558: 66x^2 + 67x + 10 =0 Solve followig the square root method or the quadratic formula. Confused on how to work this out any help will be appriciated.1 solutions Answer 63476 by rapaljer(4667)   on 2007-07-08 15:36:57 (Show Source): You can put this solution on YOUR website! This one looks intimidating, when you apply the quadratic formula. Actually, it's not so bad, once you get past the ! a=66, b=67, c=10 or or Of course, this means that the problem could have been solved by factoring!! Another really interesting problem!! R^2 Retired from SCC
 Linear-equations/87552: This question is from textbook algebra tools for a chaning world 1 solutions Answer 63474 by rapaljer(4667)   on 2007-07-08 15:24:37 (Show Source): You can put this solution on YOUR website!You forgot to post the problem???
 Radicals/87556: How do you deal with square roots within square roots, for example sqrt(4 + 2sqrt3)/sqrt2? Thank you for your help!1 solutions Answer 63473 by rapaljer(4667)   on 2007-07-08 15:22:52 (Show Source): You can put this solution on YOUR website!It doesn't happen very often, but let's try it. Just remember to obey the rules, and don't make up new rules that aren't true for all real numbers. What we know is that you can multiply provided a and b are NOT both negative. Also, you know that rationalizing the denominator is always a good place to start: Now, be really careful not to change the rules or make up "new" ones! Now, I know this is correct because I checked it with my calculator. However, there may be something else that can be done to eliminate the square root of the square root. I remember doing something like this about 20 years ago in trigonometry, but I haven't worked with it in a very long time. Therefore, if you want a second opinion, go ahead and post the question again, and see if someone else has some ideas about it. This is a very interesting problem!! R^2 Retired from SCC
 Surface-area/87527: WHAT IS THE PERIMETER OF A TRIANGLE WHICH SIDES MEASURES 6,8, AND 10INCHES. WHAT WOULD BE THE RADIUS OF A CIRCLE WITH A DIAMETER OF 8 INCHES. A CUBE MEASURES 3 INCHES ON ALL OF ITS SIDES. WHAT IS IT'S VOLUME IN INCHES.1 solutions Answer 63449 by rapaljer(4667)   on 2007-07-07 23:14:03 (Show Source): You can put this solution on YOUR website!The perimeter of a triangle is the sum of its sides: 6+8+10 = 24 inches. The radius of a circle is half the diameter: 8/2 = 4 inches. The volume of a cube is : cubic inches. R^2 Retired from SCC
 Equations/87530: This question is from textbook Beginning Algebra Tutor, This question is from a text book. The exercise state solve literal equatio for the indicated variable Question reads: Depreciation solve for s D=C-s/n I have no clue how to begin to solve this question, any help will be greatly appreciated. Thank you. 1 solutions Answer 63448 by rapaljer(4667)   on 2007-07-07 23:09:55 (Show Source): You can put this solution on YOUR website!There are two ways to interpret this equation. Do you mean or do you mean ?? What you have written technically means the first way I wrote it, but usually what is meant is the second way to write it. If the problem is , then solve it this way. Multiply both sides by n: Add +s to each side and subtract nD from each side: You probably meant this: Multiply both sides by n: Add +s and subtract nD from each side: R^2 Retired from SCC
 Sequences-and-series/87531: 1 solutions Answer 63447 by rapaljer(4667)   on 2007-07-07 22:59:31 (Show Source): You can put this solution on YOUR website!You need to state the problem!! R^2 Retired from SCC
 Polynomials-and-rational-expressions/87515: What values for x must be excluded in the following fraction? x+2/x^2-9x+141 solutions Answer 63446 by rapaljer(4667)   on 2007-07-07 22:57:00 (Show Source): You can put this solution on YOUR website! The big deal in math is that you are NOT allowed to divide by zero!! Therefore, any number that makes a denominator zero is NOT allowed!! In this case, the denominator factors: Therefore the values of x that must be excluded are x=7 and x=2. R^2 Retired from SCC
 Graphs/87407: Graph the inequality: y<2x-1 1 solutions Answer 63441 by rapaljer(4667)   on 2007-07-07 17:25:38 (Show Source): You can put this solution on YOUR website!First graph the line y=2x-1, which is a straight line with y intercept -1 and slope is 2/1. Graph this with a dotted line, and shade everything below the line. R^2 Retired from SCC
 Radicals/87491: Find the distance between points (-4,0) and (-5,-3) Thanks1 solutions Answer 63440 by rapaljer(4667)   on 2007-07-07 16:37:24 (Show Source): You can put this solution on YOUR website!(-4,0) and (-5,-3) Distance = Difference between x values is 1 unit. Difference between y values is 3 units. Distance = Distance = R^2 Retired from SCC
 Complex_Numbers/87511: This question is really troubling me and i could use some help please. Given that “e” is a complex number, solve e + 6ē = 7 (note: ē is the complex conjugate of e) 1 solutions Answer 63438 by rapaljer(4667)   on 2007-07-07 16:04:48 (Show Source): You can put this solution on YOUR website!Let e= a+bi, and e(complememt) = a-bi What you have is e + 6ē = 7 a+bi + 6(a-bi) = 7 +0i a+bi +6a -6bi = 7 + 0i 7a -5bi = 6 + 0i Therefore, 7a= 6, so a=6/7 and -5b= 0, so b=0 Therefore, e=6/7 +0i R^2 Retired from SCC
 Rational-functions/87508: I could really use some help on this one. For the function f(x) = x² - 3x + 4 construct and simplify the difference quotient f(x) = [f(x+h) – f(x)]/h 1 solutions Answer 63435 by rapaljer(4667)   on 2007-07-07 15:43:27 (Show Source): You can put this solution on YOUR website! Remove parentheses Combine like terms: Factor out the common factor of h: Divide out the h factor: R^2 at SCC
 Functions/87509: For the function f(x) = x² - 3x + 4 construct and simplify the difference quotient f(x) = [f(x+h) – f(x)]/h 1 solutions Answer 63433 by rapaljer(4667)   on 2007-07-07 15:35:59 (Show Source): You can put this solution on YOUR website! Remove parentheses Combine like terms: Factor out the common factor of h: Divide out the h factor: R^2 at SCC
 Inequalities/87501: Solve the following inequality for t: t/3 - t/2 > 3/41 solutions Answer 63432 by rapaljer(4667)   on 2007-07-07 15:27:21 (Show Source): You can put this solution on YOUR website!Since there are no variables in the denominator, you can find the LCD for the entire problem, which is 12, and multiply both sides by the LCD: Remember, when you divide both sides of an inequality by a negative number, you must reverse the inequality!! R^2 Retired from SCC
 Sequences-and-series/87502: 1 solutions Answer 63431 by rapaljer(4667)   on 2007-07-07 15:22:49 (Show Source): You can put this solution on YOUR website!You need to state the problem. R^2 Retired from SCC
 Square-cubic-other-roots/87506: This question is from textbook algebra I have two expressions that are displayed on my test. sqrt-49, -7,-sqrt49 I have selected sqrt-49 and -sqrt49. is this correct?1 solutions Answer 63426 by rapaljer(4667)   on 2007-07-07 13:32:51 (Show Source): You can put this solution on YOUR website!What was the question? Were you supposed to determine which two expressions have the same value??? is not a real value (or if you consider complex numbers, the value is 9i. I suppose if you want two that are equivalent, it would be and . R^2 Retired from SCC
 Square-cubic-other-roots/87505: This question is from textbook algebra I have to simplify this; sqrt20/5-1/sqrt5 I keep coming up with that this cannot be simplified, am I on the right track. my result is =15sqrt5/100 please help1 solutions Answer 63425 by rapaljer(4667)   on 2007-07-07 13:28:29 (Show Source): You can put this solution on YOUR website! This can also be written with a common denominator of 5: R^2 Retired from SCC
 Equations/87489: Please help me !! Solve. Identify all double roots. a) 8y^2 +1 = 6y b) x^4-25x^2 =0 c)(X-3)^3-(x-3)^2= 0 PLEASE HELP!!!!!1 solutions Answer 63424 by rapaljer(4667)   on 2007-07-07 13:21:26 (Show Source): You can put this solution on YOUR website!A double root occurs when the power of the factor that gives you the root is 2. a) 8y^2 +1 = 6y No double roots, since the powers of the factors are not 2. b) x^4-25x^2 =0 x=0 is of multiplicity 2, since the power of the x factor is 2. c)(X-3)^3-(x-3)^2= 0 x=3 is of multiplicity 2, since the power of the (x-3) factor is 2. R^2 Retired from SCC
 Equations/87490: Please help me !! Solve. Identify all double roots. a) 8y^2 +1 = 6y b) x^4-25x^2 =0 c)(X-3)^3-(x-3)^2= 0 PLEASE HELP!!!!!1 solutions Answer 63423 by rapaljer(4667)   on 2007-07-07 13:20:05 (Show Source): You can put this solution on YOUR website!A double root occurs when the power of the factor that gives you the root is 2. a) 8y^2 +1 = 6y No double roots, since the powers of the factors are not 2. b) x^4-25x^2 =0 x=0 is of multiplicity 2, since the power of the x factor is 2. c)(X-3)^3-(x-3)^2= 0 x=3 is of multiplicity 2, since the power of the (x-3) factor is 2. R^2 Retired from SCC
 Radicals/87493: Simplify square root 5001 solutions Answer 63418 by rapaljer(4667)   on 2007-07-07 11:06:56 (Show Source): You can put this solution on YOUR website! Find a perfect square, the largest one you can find, that divides evenly into 500. This would be 100. Make that, 100*5 For additional help on square roots, see my Lesson Plans on algebra.com or go to my own website by clicking on my tutor name "rapaljer" anywhere in algebra.com, then look for MATH IN LIVING COLOR and go to Basic Algebra, Section 5.01. R^2 Retired from SCC
 Expressions-with-variables/87496: If a ball is tossed into the air from a height of 6 feet with a velocity of 32 feet per second, then its altitude at time t(in seconds) can be described by the function A(t)= -16t^2 + 32t + 6 Find the altitude of the ball at 2 seconds.1 solutions Answer 63417 by rapaljer(4667)   on 2007-07-07 11:02:50 (Show Source): You can put this solution on YOUR website!A(t)= -16t^2 + 32t + 6 , when t=2: A(2) = -16*2^2+32*2+6 A(2) =-16*4+ 64 + 6 A(2) =-64+64+6 A(2)=6 feet R^2 at SCC
 Square-cubic-other-roots/87485: please help me solve the cubic root for the number 3375.1 solutions Answer 63414 by rapaljer(4667)   on 2007-07-07 09:17:20 (Show Source): You can put this solution on YOUR website!I used a calculator to find . Are you allowed to use calculators? If not, then try this. Break down the number 3375 by trying to find a perfect cube that divides evenly into 3375. The perfect cubes are 2^3 = 8 3^3= 27 4^3= 64 5^3= 125 To begin with , since 3375 ends in a 5, it is divisible by 5, so try dividing 2275 by 125. It goes 27 times. So you can break it down like this: R^2 Retired from SCC