Tutor:

New! Get regular updates about newly solved problems via algebra.com's RSS system.

---

Recent problems solved by 'solver91311'

solver91311 answered: 16856 problems
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 , 4680..4709 , 4710..4739 , 4740..4769 , 4770..4799 , 4800..4829 , 4830..4859 , 4860..4889 , 4890..4919 , 4920..4949 , 4950..4979 , 4980..5009 , 5010..5039 , 5040..5069 , 5070..5099 , 5100..5129 , 5130..5159 , 5160..5189 , 5190..5219 , 5220..5249 , 5250..5279 , 5280..5309 , 5310..5339 , 5340..5369 , 5370..5399 , 5400..5429 , 5430..5459 , 5460..5489 , 5490..5519 , 5520..5549 , 5550..5579 , 5580..5609 , 5610..5639 , 5640..5669 , 5670..5699 , 5700..5729 , 5730..5759 , 5760..5789 , 5790..5819 , 5820..5849 , 5850..5879 , 5880..5909 , 5910..5939 , 5940..5969 , 5970..5999 , 6000..6029 , 6030..6059 , 6060..6089 , 6090..6119 , 6120..6149 , 6150..6179 , 6180..6209 , 6210..6239 , 6240..6269 , 6270..6299 , 6300..6329 , 6330..6359 , 6360..6389 , 6390..6419 , 6420..6449 , 6450..6479 , 6480..6509 , 6510..6539 , 6540..6569 , 6570..6599 , 6600..6629 , 6630..6659 , 6660..6689 , 6690..6719 , 6720..6749 , 6750..6779 , 6780..6809 , 6810..6839 , 6840..6869 , 6870..6899 , 6900..6929 , 6930..6959 , 6960..6989 , 6990..7019 , 7020..7049 , 7050..7079 , 7080..7109 , 7110..7139 , 7140..7169 , 7170..7199 , 7200..7229 , 7230..7259 , 7260..7289 , 7290..7319 , 7320..7349 , 7350..7379 , 7380..7409 , 7410..7439 , 7440..7469 , 7470..7499 , 7500..7529 , 7530..7559 , 7560..7589 , 7590..7619 , 7620..7649 , 7650..7679 , 7680..7709 , 7710..7739 , 7740..7769 , 7770..7799 , 7800..7829 , 7830..7859 , 7860..7889 , 7890..7919 , 7920..7949 , 7950..7979 , 7980..8009 , 8010..8039 , 8040..8069 , 8070..8099 , 8100..8129 , 8130..8159 , 8160..8189 , 8190..8219 , 8220..8249 , 8250..8279 , 8280..8309 , 8310..8339 , 8340..8369 , 8370..8399 , 8400..8429 , 8430..8459 , 8460..8489 , 8490..8519 , 8520..8549 , 8550..8579 , 8580..8609 , 8610..8639 , 8640..8669 , 8670..8699 , 8700..8729 , 8730..8759 , 8760..8789 , 8790..8819 , 8820..8849 , 8850..8879 , 8880..8909 , 8910..8939 , 8940..8969 , 8970..8999 , 9000..9029 , 9030..9059 , 9060..9089 , 9090..9119 , 9120..9149 , 9150..9179 , 9180..9209 , 9210..9239 , 9240..9269 , 9270..9299 , 9300..9329 , 9330..9359 , 9360..9389 , 9390..9419 , 9420..9449 , 9450..9479 , 9480..9509 , 9510..9539 , 9540..9569 , 9570..9599 , 9600..9629 , 9630..9659 , 9660..9689 , 9690..9719 , 9720..9749 , 9750..9779 , 9780..9809 , 9810..9839 , 9840..9869 , 9870..9899 , 9900..9929 , 9930..9959 , 9960..9989 , 9990..10019 , 10020..10049 , 10050..10079 , 10080..10109 , 10110..10139 , 10140..10169 , 10170..10199 , 10200..10229 , 10230..10259 , 10260..10289 , 10290..10319 , 10320..10349 , 10350..10379 , 10380..10409 , 10410..10439 , 10440..10469 , 10470..10499 , 10500..10529 , 10530..10559 , 10560..10589 , 10590..10619 , 10620..10649 , 10650..10679 , 10680..10709 , 10710..10739 , 10740..10769 , 10770..10799 , 10800..10829 , 10830..10859 , 10860..10889 , 10890..10919 , 10920..10949 , 10950..10979 , 10980..11009 , 11010..11039 , 11040..11069 , 11070..11099 , 11100..11129 , 11130..11159 , 11160..11189 , 11190..11219 , 11220..11249 , 11250..11279 , 11280..11309 , 11310..11339 , 11340..11369 , 11370..11399 , 11400..11429 , 11430..11459 , 11460..11489 , 11490..11519 , 11520..11549 , 11550..11579 , 11580..11609 , 11610..11639 , 11640..11669 , 11670..11699 , 11700..11729 , 11730..11759 , 11760..11789 , 11790..11819 , 11820..11849 , 11850..11879 , 11880..11909 , 11910..11939 , 11940..11969 , 11970..11999 , 12000..12029 , 12030..12059 , 12060..12089 , 12090..12119 , 12120..12149 , 12150..12179 , 12180..12209 , 12210..12239 , 12240..12269 , 12270..12299 , 12300..12329 , 12330..12359 , 12360..12389 , 12390..12419 , 12420..12449 , 12450..12479 , 12480..12509 , 12510..12539 , 12540..12569 , 12570..12599 , 12600..12629 , 12630..12659 , 12660..12689 , 12690..12719 , 12720..12749 , 12750..12779 , 12780..12809 , 12810..12839 , 12840..12869 , 12870..12899 , 12900..12929 , 12930..12959 , 12960..12989 , 12990..13019 , 13020..13049 , 13050..13079 , 13080..13109 , 13110..13139 , 13140..13169 , 13170..13199 , 13200..13229 , 13230..13259 , 13260..13289 , 13290..13319 , 13320..13349 , 13350..13379 , 13380..13409 , 13410..13439 , 13440..13469 , 13470..13499 , 13500..13529 , 13530..13559 , 13560..13589 , 13590..13619 , 13620..13649 , 13650..13679 , 13680..13709 , 13710..13739 , 13740..13769 , 13770..13799 , 13800..13829 , 13830..13859 , 13860..13889 , 13890..13919 , 13920..13949 , 13950..13979 , 13980..14009 , 14010..14039 , 14040..14069 , 14070..14099 , 14100..14129 , 14130..14159 , 14160..14189 , 14190..14219 , 14220..14249 , 14250..14279 , 14280..14309 , 14310..14339 , 14340..14369 , 14370..14399 , 14400..14429 , 14430..14459 , 14460..14489 , 14490..14519 , 14520..14549 , 14550..14579 , 14580..14609 , 14610..14639 , 14640..14669 , 14670..14699 , 14700..14729 , 14730..14759 , 14760..14789 , 14790..14819 , 14820..14849 , 14850..14879 , 14880..14909 , 14910..14939 , 14940..14969 , 14970..14999 , 15000..15029 , 15030..15059 , 15060..15089 , 15090..15119 , 15120..15149 , 15150..15179 , 15180..15209 , 15210..15239 , 15240..15269 , 15270..15299 , 15300..15329 , 15330..15359 , 15360..15389 , 15390..15419 , 15420..15449 , 15450..15479 , 15480..15509 , 15510..15539 , 15540..15569 , 15570..15599 , 15600..15629 , 15630..15659 , 15660..15689 , 15690..15719 , 15720..15749 , 15750..15779 , 15780..15809 , 15810..15839 , 15840..15869 , 15870..15899 , 15900..15929 , 15930..15959 , 15960..15989 , 15990..16019 , 16020..16049 , 16050..16079 , 16080..16109 , 16110..16139 , 16140..16169 , 16170..16199 , 16200..16229 , 16230..16259 , 16260..16289 , 16290..16319 , 16320..16349 , 16350..16379 , 16380..16409 , 16410..16439 , 16440..16469 , 16470..16499 , 16500..16529 , 16530..16559 , 16560..16589 , 16590..16619 , 16620..16649 , 16650..16679 , 16680..16709 , 16710..16739 , 16740..16769 , 16770..16799 , 16800..16829 , 16830..16859, >>Next

Trigonometry-basics/578017: I need help with multiplying and dividing radical expressions. Can you help me with this with this and include simple and complex examples. Thanks. 1 solutions Answer 370461 by solver91311(16868)   on 2012-02-25 20:52:05 (Show Source): You can put this solution on YOUR website! Rational expressions are nothing more than fractions. Multiply and Divide them the same way. Multiply: Numerator times numerator. Denominator times denominator. Divide: Invert the divisor and multiply. John My calculator said it, I believe it, that settles it

Graphs/577610: Dear Tutor, My question involves "Graphic Representation of Radicals of the Second Order" in Algebra 2. I know that the length of the hypotneuse of a right triangle equals the square root of the sum of the lengths of the two legs. The problems I'm having trouble with are the square roots of 15, 24, 34. Theres also one with 1/2 in front of the square root of 5. There is a question similar to this on algebra.com, but i do not understand what the tutor is saying about how to solve it. I have tried all posible square root possibilties but nothing adds up to 15, 24, or 34. My dad tried to help me, but the answers given in the book dont make sense. I have posted this question everywhere. I really hope u can help me. This is all Greek to me. Sincerely, A Really Confused Algebra 2 Student 1 solutions Answer 370225 by solver91311(16868)   on 2012-02-24 17:17:56 (Show Source): You can put this solution on YOUR website! You are really not doing a very good job of explaining what you want to do, but here is my guess. I think you want to create a right triangle with two sides that have integer measures such that the third side meassures Let represent the measure of the short leg of the triangle, let represent the measure of the other leg of the triangle, and let represent the measure of the hypotenuse. Pythagoras in its pristine form says: But that same relationship can be expressed: Hence What we need to find is two integers such that the difference of their squares is 15. What if ? Then , then Ah ha! Two integers. So we need to construct a right triangle that has sides of , , and and the right angle has to be between the two shorter segments. On your graph paper, plot the point (1, 0). Draw a heavy line from the origin to this point. Use the scale on your graph paper to set the points of your compass 4 units apart. Put the metal point of your compass on the point (1,0) then strike a short arc that intersects the positive -axis. This point of intersection will be the point . Hints for the other two: 24 = 25 - 1 and 34 = 25 + 9 John My calculator said it, I believe it, that settles it

Quadratic_Equations/577599: What is the vertex of x-3=2(y+1)^? What is the vertex of y+1=1/2(x-3)^? What is the vertex of x=1/2y^-y+3? 1 solutions Answer 370219 by solver91311(16868)   on 2012-02-24 16:28:35 (Show Source): You can put this solution on YOUR website! First thing: "^" does NOT mean "squared," "^" means "raised to the power of the quantity that follows". Hence, "^2" means "squared". The vertex form of a parabola with a horizontal axis of symmetry and a vertex at is: Rewrite your given equation: and determine the vertex by inspection. John My calculator said it, I believe it, that settles it

Probability-and-statistics/577597: You draw 6 cards from a standard 52-card deck. A) If the order is not important, what is the total number of possible groups of 6 cards? b)What is probability of that the 6 cards include exactly 3 queens? c) What is probability of that The 6 cards include exactly 2 kings? d) What is probability of that The 6 cards include exactly 3 queens and 2 kings? 1 solutions Answer 370209 by solver91311(16868)   on 2012-02-24 15:04:55 (Show Source): You can put this solution on YOUR website! A) You want which is the number of combinations of things taken at a time and is calculated by . For this question, and . John My calculator said it, I believe it, that settles it

Probability-and-statistics/577290: If g(x)=8-7x and h(x)=6x+x^2, find g(-9). 1 solutions Answer 370138 by solver91311(16868)   on 2012-02-23 21:00:20 (Show Source): You can put this solution on YOUR website! In order to change into you take out the and replace it with . So do the same thing to , after all, you said they were equal, right? Don't forget to perform the indicated arithmetic. John My calculator said it, I believe it, that settles it

Average/577164: So far in my microbiology I have a 66.27% final average with no exam to take. I have three essays that need to be graded at 10% for the grades. Will this be enough to raise my final average to 70% 1 solutions Answer 370108 by solver91311(16868)   on 2012-02-23 18:41:11 (Show Source): You can put this solution on YOUR website! The statement: "...essays that need to be graded at 10% for the grades." is ambiguous. Is the set of three essays worth 10% in total or is each essay worth 10%? John My calculator said it, I believe it, that settles it

Miscellaneous_Word_Problems/577167: The work sheet is titled Direct/Inverse/Joint Variation A spring extends or compresses in direct proportion to the mass being supported. If spring a extends 13 cm when supporting 100g how far will it extend when supporting 20 g? y=kx 13=k100 k=13/100 y=(13/100)(20)= 13/5 Did I do this right? Thank you! 1 solutions Answer 370105 by solver91311(16868)   on 2012-02-23 18:28:49 (Show Source): You can put this solution on YOUR website! The only thing I would have certainly done differently would have been to label your answer with the given units of measurement, i.e. 13/5 cm. You might also want to consider the audience for your answer -- what would be more understandable to whoever is reading your paper: 13/5 cm or 2.6 cm? For me, I had to stop and think about how big 13/5 cm is, but just a glance at 2.6 cm tells me it is just over an inch. John My calculator said it, I believe it, that settles it

Triangles/577147: Please help me solve this, its for a quiz grade and im clueless on how to solve this. Show that in a 30-60-90 triangle, the altitude to the hypotenuse divides the hypotenuse in the ratio 1:3. In triangle ABC let CD be the altitude to the hypotenuse and DB=x 1 solutions Answer 370090 by solver91311(16868)   on 2012-02-23 18:14:37 (Show Source): You can put this solution on YOUR website! Presume vertex A is the 60 degree angle, then in triangle ACD, angle A is 60 degrees and angle ADC is 90 degrees, so angle ACD must be 30 degrees, therefore triangle ACD is similar to triangle ABC (by Angle-Angle-Angle). Similarly you can show that triangle BCD is also similar to ABC. Since in a 30-60-90 right triangle the short leg is one-half of the hypotenuse, AC must be one half of AB and furthermore AD is one half of AC hence AD is one-fourth of AB. Therefore the ratio of AD to DB is 1/4 to 3/4 which is equivalent to 1:3. John My calculator said it, I believe it, that settles it

test/577146: Find the mean and solve an equation to find the value of x. 40,98,94,102,21,x; mean 88 1 solutions Answer 370085 by solver91311(16868)   on 2012-02-23 17:54:59 (Show Source): You can put this solution on YOUR website! There are 6 data elements, so 88 is the quotient when you divided the sum of all the data by 6. Multiply 88 by 6 to get the sum of all the data. Subtract the sum of all the known data elements. What is left will be John My calculator said it, I believe it, that settles it

Mixture_Word_Problems/577139: how many grams of pure gold must be added to one hundred grams of a twenty percent gold alloy to make an alloy that is thirty six percent gold? 1 solutions Answer 370084 by solver91311(16868)   on 2012-02-23 17:51:59 (Show Source): You can put this solution on YOUR website! There are 20 grams of pure gold in 100 grams of 20% alloy. There are grams of pure gold in grams of pure gold, and we want to have 36 grams of pure gold in grams of 36% alloy. So: Solve for John My calculator said it, I believe it, that settles it

Radicals/577137: From a 220 feet high lighthouse in the Bahamas island of Nassau, a person sees a ship on the horizon. Due to the curvature of earth, how far is the ship from the lighthouse? Use the formula: d = sqrt[3h/2], where d is the distance in nautical miles and h is the height in feet. Provide a similar example of when you were close to the beach, or elsewhere. Estimate how high above sea level you are and find how far the ship is from you. 1 solutions Answer 370083 by solver91311(16868)   on 2012-02-23 17:45:35 (Show Source): You can put this solution on YOUR website! This is an arithmetic problem. Plug in the values you are given and do the arithmetic. Use your calculator. John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/577129: One number is five more than another and their sum is three less than three times the smaller. Find the numbers. {, } I DID FIVE MORE THAN ANOTHER MEANS: 5X AND THREE LESS THAN THREE TIMES THE SMALLER MEANS:3-3X 5X=3-3X +3 +3 --------- 8X=3 DIVIDE BY 8 ON EACH SIDE I GOT X=3/8 BUT I BELIEVE THIS SOLUTION IS INCORRECT IF U COULD WOULD YOU PLEASE EXPLAIN HOW TO FIGURE OUT THE EQUATION ITS HARD FOR ME TO UNDERSTAND JUST WORDS I SEEM TO CONFUSE MYSELF PLEASE HELP THANKS LOTS! BRITTANY! 1 solutions Answer 370081 by solver91311(16868)   on 2012-02-23 17:43:19 (Show Source): You can put this solution on YOUR website! Let's begin with the fact that all caps is shouting and therefore both annoying and rude. Please don't apologize or make excuses; just stop doing it. means 5 times x. So, if x were, say, 6, then by your logic 5 more than 6 would be 30. You and I both know that 5 more than 6 is 11, right? 5 more than x must be . means less than which is actually the additive inverse of the quantity described in the problem. You want Add to both sides: Add to both sides: Multiply both sides by Check your answer: 5 more than 4 is 9. 3 times 4 is 12 and 3 less than that is 9. 9 = 9: Answer checks. John My calculator said it, I believe it, that settles it

Probability-and-statistics/576945: I am trying to calculate the odds similar to lottery with different conditions and don't know how to do it. I am not trying to win the lottery. It is for a board game variation similar to Bingo. The conditions are: 45 numbers, pick 5, 15 numbers randomly chosen. How do I calculate the odds of getting all 5 numbers being drawn? Would I continue with setting up the as 1/45, 1/44, 1/43, 1/42, 1/41 and then 1/40? or would I go 3/45, 3/44....? Would I still use 120 as the dividing factor, or would I divide by 360? Help would be appreciate. Thank you 1 solutions Answer 370029 by solver91311(16868)   on 2012-02-23 12:01:51 (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 want 5 successes out of 5 trials where the probability of success on any given trial is 15/45 = 1/3, so the odds are: But since and this reduces to: Which is the probability, but you asked for the odds. Odds in favor are the probability of success divided by the probability of failure (which is 1 minus the probability of success), so the odds are: 1 in 242, or 242 to 1 against. John My calculator said it, I believe it, that settles it

Percentage-and-ratio-word-problems/576619: In a high school 25% of the girls and 50% of the boys attended a football game. If 48% of all the students are girls, what percent of all the students went to the game? Please help me answer this riddle. 1 solutions Answer 369917 by solver91311(16868)   on 2012-02-22 19:59:06 (Show Source): You can put this solution on YOUR website! 25% of 48% is 0.25 times 48% = 12%. Unless there is a significant number of transgender students that don't count in either category, you can say that since 48% of the whole are girls, 52% must be boys. 50% of 52% is 0.5 times 52% = 26%. 26% and 12% is 38%. John My calculator said it, I believe it, that settles it

Parallelograms/576612: What is the height of a parallelogram in which the area equals 96 centimeters squared and the base equals 8x centimeters. I started with, 96=8x(h) to get the height and got 96=8xh but I don't know if that is right. But I tried to go further and got 12=xh. I don't know what to do after that... 1 solutions Answer 369916 by solver91311(16868)   on 2012-02-22 19:55:25 (Show Source): You can put this solution on YOUR website! All you can do is write the height in terms of John My calculator said it, I believe it, that settles it

Expressions-with-variables/576614: Find the normal approximation for the binomial probability that x = 4, where n = 14 and p = 0.3. Compare this probability to the value of P(x=4) found in Table 2 of Appendix B in your textbook. 1 solutions Answer 369912 by solver91311(16868)   on 2012-02-22 19:45:36 (Show Source): You can put this solution on YOUR website! Right, and someone out here giving people FREE service is just going to run right out and buy your what, $150?, textbook so they can look up the information on Table 2 of Appendix B -- JUST BECAUSE YOU ARE TOO DAMN LAZY TO PUT IN ALL THE INFORMATION. John My calculator said it, I believe it, that settles it

Angles/576611: Whats the measurement of angle c if a=74 degrees and b=89 degrees 1 solutions Answer 369911 by solver91311(16868)   on 2012-02-22 19:42:02 (Show Source): You can put this solution on YOUR website! Absolutely no way to tell unless the three angles are angles of the same triangle; a little piece of information that you didn't bother to share. If they are the three angles of a triangle, then use the fact that the sum of the interior angles of any triangle is . Add the measures of the two angles you know and subtract the sum from 180. John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/576604: what is the sum of the first 60 consecutive odd numbers. Is this inductive reasoning or deductive reasoning 1 solutions Answer 369907 by solver91311(16868)   on 2012-02-22 19:36:46 (Show Source): You can put this solution on YOUR website! Use the formula for the sum of a series: Which was proven using mathematical induction. John My calculator said it, I believe it, that settles it

test/576597: How do u clear an equation of fractions and show a equivalent equation... Exp. 1 solutions Answer 369906 by solver91311(16868)   on 2012-02-22 19:31:51 (Show Source): You can put this solution on YOUR website! Multiply both sides by a common denominator. It doesn't even have to be the lowest common denominator, though if you find the LCD it usually makes the arithmetic a little easier than otherwise. John My calculator said it, I believe it, that settles it

Distributive-associative-commutative-properties/576598: what is the property for this question (12*18)*5=12*(18*5) 1 solutions Answer 369905 by solver91311(16868)   on 2012-02-22 19:29:56 (Show Source): You can put this solution on YOUR website! I'm not going to tell you directly, but I want you to notice that the Multiplication factors have different Associations on the two sides of the equals sign. John My calculator said it, I believe it, that settles it

logarithm/576592: ln(x-4)=-1 solve this. 1 solutions Answer 369904 by solver91311(16868)   on 2012-02-22 19:27:08 (Show Source): You can put this solution on YOUR website! Use the definition of the logarithm function and the fact that to write: Solve for : Add 4 to both sides and recall that Use your calculator for a numerical approximation if you need one. John My calculator said it, I believe it, that settles it

Equations/576593: 24+4w=128 1 solutions Answer 369901 by solver91311(16868)   on 2012-02-22 19:18:47 (Show Source): You can put this solution on YOUR website! Add to both sides Multiply both sides by John My calculator said it, I believe it, that settles it

Triangles/576581: One leg of a right triangle measures 5 inches; the hypotenuse measures 13 inches. What is the measure, in inches, of the other leg? 1 solutions Answer 369900 by solver91311(16868)   on 2012-02-22 19:17:23 (Show Source): You can put this solution on YOUR website! The hard way: Use Pythagoras so Plug in the numbers and do the arithmetic: You can do your own arithmetic. The easy way: Recognize the 5-12-13 Pythagorean Triple and report the missing side as 12 inches. John My calculator said it, I believe it, that settles it

Quadratic_Equations/576541: How do you solve for x , y , z x+5y+5z=-10 x+y+z=2 x+2y+3z=-3 1 solutions Answer 369893 by solver91311(16868)   on 2012-02-22 18:53:05 (Show Source): You can put this solution on YOUR website! Make a 3X4 matrix of the coefficients and then use Gauss-Jordan Row Reduction to reduce the 3 rows by 3 left most columns to an identity. John My calculator said it, I believe it, that settles it

Linear-equations/576540: What's the answer for f(x)=4? 1 solutions Answer 369884 by solver91311(16868)   on 2012-02-22 18:18:30 (Show Source): You can put this solution on YOUR website! What do you mean by "the answer"? isn't a question in and of itself. What is the question you have regarding ? John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/576515: which expression is a factor of both x^2+5x+6 and x^2+2x-3? 1 solutions Answer 369880 by solver91311(16868)   on 2012-02-22 17:38:28 (Show Source): You can put this solution on YOUR website! Factor the two quadratic trinomials and see if they have a factor in common. John My calculator said it, I believe it, that settles it

test/576513: 28/c = 14 1 solutions Answer 369878 by solver91311(16868)   on 2012-02-22 17:36:39 (Show Source): You can put this solution on YOUR website! Multiply by . Multiply by John My calculator said it, I believe it, that settles it

test/576508: Please help me solve: In a rhombus ABCD, AB=10 and AC=16. Find the area of the rhombus to the nearest tenth. Thanks !! 1 solutions Answer 369875 by solver91311(16868)   on 2012-02-22 17:32:08 (Show Source): You can put this solution on YOUR website! Draw both diagonals, namely AC and BD and label the point of intersection X. The diagonals of a rhombus are perpendicular bisectors of each other, hence AX = XC = 8. Triangle ABX is then a right triangle with a hypotenuse of 10 and a long leg of 8 which is proportional to a 3-4-5 right triangle. 2 X 5 is 10 and 2 X 4 is 8, so the third side, namely BX must measure 2 X 3 = 6. The area of this triangle is 6 X 8 divided by 2 or 24. The four triangles formed by construction of the diagonals are all congruent since the diagonals are perpendicular bisectors (you can show SAS where the included angle is the right angle in each case) hence the total area of the rhombus is 4 times 24 or 96 square units. John My calculator said it, I believe it, that settles it

Average/576499: 2. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together? A. 2 hours and 24 minutes B. 3 hours and 12 minutes C. 3 hours and 44 minutes D. 4 hours and 10 minutes E. 4 hours and 33 minutes 1 solutions Answer 369872 by solver91311(16868)   on 2012-02-22 17:23:28 (Show Source): You can put this solution on YOUR website! If A can do a job in x time periods, then A can do of the job in 1 time period. Likewise, if B can do the same job in y time periods, then B can do of the job in 1 time period. So, working together, they can do of the job in 1 time period. Therefore, they can do the whole job in: time periods. John My calculator said it, I believe it, that settles it

Circles/576486: If my paper says to find the circumference of a circle whose raius is 4 inches, what do I do? I understand that you multiply the 4 by 2, but it also says to use 3.14 for pi. I do not understand what 3.14 has to do with the problem when it wants me to show the solution/formula. This is what I did: 2×4 = 8 inches 1 solutions Answer 369869 by solver91311(16868)   on 2012-02-22 17:19:12 (Show Source): You can put this solution on YOUR website! , a trancendental irrational number approximated by the rational number 3.14, is the ratio between the circumference and the diameter of any circle. The diameter of a circle is 2 times the radius, so by multiplying the radius of 4 by 2, you managed to discover the measure of the diameter, which is, indeed, 8. But in order to determine an approximate value of the circumference of the circle, that is, the distance around the circle (as opposed to the distance straight across through the center which is the diameter). So what you have to do is multiply 8 times 3.14 to get a two-decimal place accurate approximation of the measure of the circumference. By the way, the only way to represent the circumference exactly is to write John My calculator said it, I believe it, that settles it

Equations/576464: Find the equation of the line perpendicular to 2x+3y=12 and passes thru the point (-4,6) 1 solutions Answer 369855 by solver91311(16868)   on 2012-02-22 16:42:03 (Show Source): You can put this solution on YOUR website! Since in the given equation the and terms are on the same side of the equals sign, take the opposite of the coefficent on and divide by the coefficient on to find the slope of the line represented by the given equation. Use the point-slope form of an equation of a line to write the desired equation: where are the coordinates of the given point and is the calculated slope. Put the derived equation into either Standard or Slope-Intercept Form as desired by your teacher/professor/instructor.0 However, please note that you cannot write "the" equation of any line. You can only write "an" equation of a line. In the first place, you could just substitute the values in the point-slope form and have an equation of the desired line, or you could solve for to put it into slope-intercept form, or you could rearrange it into standard form, namely . Furthermore, for a given , , and , where describes a set of equations with an infinite number of elements, each of which graphs to the same line in . John My calculator said it, I believe it, that settles it