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Recent problems solved by 'stanbon'

stanbon answered: 57274 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 , 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Equations/135269: Rudy must play 12 commercials his 1-hr radio show Each commercial is either 30 sec or 60 sec long. If the total commercial time during that 1-hr is 10 min how many commercials of each type does Rudy play? 1 solutions Answer 99083 by stanbon(57347)   on 2008-04-04 16:48:22 (Show Source): You can put this solution on YOUR website! Rudy must play 12 commercials his 1-hr radio show Each commercial is either 30 sec or 60 sec long. If the total commercial time during that 1-hr is 10 min how many commercials of each type does Rudy play? -------------------------------------------- Let # of 30 sec commercials be x; time involved is 30x seconds ---------------------------------- # of 60 sec commercials is "12-x" ; time involved is 60(12-x) = 720-60x ---------------------------------- EQUATION: time + time = 10 min or 600 sec 30x + 720-60x = 600 -30x = -120 x = 4 (# of 30 sec commercials) 12-x = 8 (# of 60 sec commercials) ========================= Cheers, Stan H.

Polynomials-and-rational-expressions/135252: Can someone help me please? Express the interval in set-builder notation and graph the interval on a number line. [-∞,5/3] If you can not graph that is ok. Thanks 1 solutions Answer 99081 by stanbon(57347)   on 2008-04-04 16:32:07 (Show Source): You can put this solution on YOUR website! Express the interval in set-builder notation and graph the interval on a number line. [-∞,5/3] ------------------------- Comment: You never have a bracket ([ or ]) where inf or -inf are involved in the interval. The interval is always open to -inf or +inf. [-inf, 5/3] This should be (-inf,5/3] which is set-builder notation is {x|x <= (5/3)} ----------------- The graph consists of a solid circle at 5/3 and an arrow extending to the left from 5/3. ------------------ Cheers, Stan H.

Proportions/135261: USE A PROPORTION TO SOLVE THE PROBLEM ABOUT DIRECT VARIATION. A person's hair length varies directly with the number of weeks it has been growing. If Fred shaved his head bald and his hair was 0.15 inches long after 5 weeks, how long would it be afteran additional 4 weeks? Round to the nearest hundredth of an inch. 1 solutions Answer 99079 by stanbon(57347)   on 2008-04-04 16:23:29 (Show Source): You can put this solution on YOUR website! A person's hair length varies directly with the number of weeks it has been growing. If Fred shaved his head bald and his hair was 0.15 inches long after 5 weeks, how long would it be after an additional 4 weeks? Round to the nearest hundredth of an inch. --------------------------------- length = k*weeks 0.15 = k*5 k = 0.03 length = 0.03*weeks -------------------------- length = 0.03*10 length = 0.3 inches --------------------------- OR, using proportions: x/10 = 0.15/5 x = 10(0.15/5) x = 1.5/5 = 0.3 inches ======================== Cheers, Stan H.

Polynomials-and-rational-expressions/135262: Synthetic division is not as synthetic, x^3 + 2^x²- 11x -12= 0;-4 Everytime I figure these types of problems I miss them I know I must be missing a step so please help! Thank you! 1 solutions Answer 99077 by stanbon(57347)   on 2008-04-04 16:17:28 (Show Source): You can put this solution on YOUR website! x^3 + 2^x²- 11x -12= 0;-4 ---------------------------- -4)....1....2....-11....-12 .......1....-2....-3...|..0 Remainder: 0 Quotient: x^2-2x-3 ========================= Cheers, Stan H.

Polynomials-and-rational-expressions/135263: I tried using the solver but to my dismay did not work I need to write and factor the trinomial x²-4x but first I need to determine the constant which will be added to the binomial. Will you help me again. Thank you! 1 solutions Answer 99075 by stanbon(57347)   on 2008-04-04 16:13:11 (Show Source): You can put this solution on YOUR website! I need to write and factor the trinomial x²-4x but first I need to determine the constant which will be added to the binomial. ----------------------------- Why do you want to add a constant? ---------------------------- As it stands x^2-4x = x(x-4) is the factored form. ----------------------- Cheers, Stan H.

Graphs/135268: I really need to check my answer: graph the rational function f(x)= ^x^2/x^2-x-12 The whole equation is above the equal sign Thank you for your help 1 solutions Answer 99074 by stanbon(57347)   on 2008-04-04 16:11:06 (Show Source): You can put this solution on YOUR website! What do you mean by ^x^2 ? Cheers, Stan H.

logarithm/135264: Ok I think I have this problem finished just hoping you can check it for me, Thanks! log 0.0001 I say the answer is -4 1 solutions Answer 99072 by stanbon(57347)   on 2008-04-04 16:09:38 (Show Source): You can put this solution on YOUR website! log 0.0001 I say the answer is -4 ---------------------------- log (0.1) = -1 log 0.01 = -2 log 0.001 = -3 log 0.0001 = -4 ---------------- You are correct. Cheers, Stan H.

Equations/135266: Please help, is y a function of x xy + 5y=1 Thank you in advance!! 1 solutions Answer 99071 by stanbon(57347)   on 2008-04-04 16:00:42 (Show Source): You can put this solution on YOUR website! is y a function of x xy + 5y=1 y(x+5) = 1 y = 1/(x+5) Yes, y is a function of x. ================================ Cheers, San H.

Linear-equations/135267: Write each Equation as a functin in "y=..." form 1. -2(x+3y)=18 2. 5(x+y)=20+3x 3.2x-3y=6 4. -10x=5y 1 solutions Answer 99070 by stanbon(57347)   on 2008-04-04 15:58:42 (Show Source): You can put this solution on YOUR website! Write each Equation as a functin in "y=..." form 1. -2(x+3y)=18 Divide both sides by -2 to get: (x+3y) = -9 3y = -x-9 y = -(x+9)/3 ================== 2. 5(x+y)=20+3x 5x+5y= 20+3x 5y = 20-2x y = (20-2x)/5 -------------------- 3.2x-3y=6 3y = 2x-6 y = (2x-6)/3 ---------------- 4. -10x=5y y = -2x ================= cheers, Stan H.

Probability-and-statistics/135248: Thank you for all your help with this course. But my problem for this week that I am stuck on is: Can people really identify their favorite brand of cola? Volunteers tasted Coca-Cola Classic, Pepsi, Diet Coke, and Diet Pepsi, with the results shown below. At alpha = .05, is the correctness of the prediction different for the two types of cola drinkers? Could you identify your favor brand in this kind of test? Since it is a 2 x 2 table, try also a two-tailed two-sample z tet for pi1=p12 and verify z squared is the same as your chi-square statistic. Which test do you prefer? Why? Corect? Regular Cola Diet Cola Row Total Yes, got it right 7 7 14 No, got it wrong 12 20 32 Col Total 19 27 46 I saw this problem posted but could not find the answer. Thank you Thank you! You guys are wonderful! 1 solutions Answer 99069 by stanbon(57347)   on 2008-04-04 15:54:21 (Show Source): You can put this solution on YOUR website! Can people really identify their favorite brand of cola? Volunteers tasted Coca-Cola Classic, Pepsi, Diet Coke, and Diet Pepsi, with the results shown below. Research question: At a = .05, is the correctness of the prediction different for the two types of cola drinkers? Since it is a 2 x 2 table, try also a two-tailed two-sample z test for π1 = π2 and verify that z² is the same as your chi-square statistic. Correct? Regular Diet Row Total Yes....... 7..... 7..... 14 No....... 12.... 20..... 32 Total.... 19.... 27..... 46 ----------------------------- Ho: mu1=mu2 Ha: mu1 is not equal to mu2 ------------- Chi-Sq: Test statistic: Chi-Sq = 0.62768... p-value: 0.4282 df=1 --------- Conclusion: Fail to reject Ho because p-value > alpha. ------------------------------------- 2-Sample z-Test Test statistic: z=-1.4486 p-value: 0.14746... Conclusion: Fail to reject Ho because p-value > alpha. =================================== Cheers, Stan H.

Polynomials-and-rational-expressions/135239: I think I used the wrong email so I need to try this again. Simplify the exponential expression. x^9y^0 Thanks again 1 solutions Answer 99056 by stanbon(57347)   on 2008-04-04 13:16:45 (Show Source): You can put this solution on YOUR website! x^9y^0 -------------- a^0 = 1 for all numbers "a" except 0 --------------- Your Problem: = x^9 * 1 = x^9 ======= Cheers, Stan H.

expressions/135200: Useing the PEMEDS expesssion, (Please, excuse, my dear, aunt sally) Simplify 1. 2+3*5^2-7 2. 6+3[(12/4)+5] 3. (4/2)+4(5-2)^2 4. -8-81/9*2^2+7 1 solutions Answer 99055 by stanbon(57347)   on 2008-04-04 13:14:39 (Show Source): You can put this solution on YOUR website! Useing the PEMEDS expesssion, (Please, excuse, my dear, aunt sally) Simplify 1. 2+3*5^2-7 = 2+3*25-7 = 2+6-7 = 1 ---------------------------- 2. 6+3[(12/4)+5] = 6+3[3+5] = 6+3*8 = 6+24 = 30 ------------------------------ 3. (4/2)+4(5-2)^2 (1/2) + 4(3)^2 (1/2) + 4*9 (1/2) + 36 36 1/2 ---------------- 4. -8-81/9*2^2+7 = -8-9*4+7 = -8-36+7 = -37 ==================== Cheers, Stan H.

Polynomials-and-rational-expressions/135235: Please help me, if you can. Find the product: (x - 4y)( 5x - 9y) Thank you 1 solutions Answer 99052 by stanbon(57347)   on 2008-04-04 13:05:41 (Show Source): You can put this solution on YOUR website! Find the product: (x - 4y)( 5x - 9y) Use FOIL: F: x*5x = 5x^2 O: x*-9y = -9xy I: 5x*-4y= -20xy L: -4y*-9y = 36y^2 -------------------- Add these up to get: 5x^2-29xy+36y^2 ==================== Cheers, Stan H.

Probability-and-statistics/135233: This question is from textbook statistical techniques in business and economics On one draw from a standard deck of 52 playing cards, what is the probability of drawing either the ace of clubs, the king of clubs, the jack of diamonds, OR the ace of hearts?0-25 1 solutions Answer 99051 by stanbon(57347)   on 2008-04-04 13:02:13 (Show Source): You can put this solution on YOUR website! On one draw from a standard deck of 52 playing cards, what is the probability of drawing either the ace of clubs, the king of clubs, the jack of diamonds, OR the ace of hearts? -------------------- = P (either ace clubs,king clubs,jack diamonds OR ace hearts) = 3/52 + 1/52 = 1/13 =============== Cheers, Stan H.

Quadratic-relations-and-conic-sections/135206: Identify the conic section, write each in standard form, and graph: 4x^2-9y^2+y+3=0 1 solutions Answer 99044 by stanbon(57347)   on 2008-04-04 10:25:50 (Show Source): You can put this solution on YOUR website! Identify the conic section, write each in standard form, and graph: 4x^2-9y^2+y+3=0 Complete the square on the x-terms and on the y-terms: 4(x^2) -9(y^2-(1/9)y = -3 4(x^2) -9(y^2-(1/9)y+(1/18)^2) = -3-9*(1/18)^2 4(x^2) -9(y-(1/18))^2 = -109/36 Divide both sides by -109/36 to get: -(x-0)^2]/(109/144) +(y-(1/18))^2/(109/324) = 1 ------------------ It's a hyperbola. Can't be graphed on this site as it is not a function. ================== Cheers, Stan H.

Radicals/135225: One leg of an isosceles right triangle measures 12 feet. Find the exact length of the hypotenuse. 1 solutions Answer 99043 by stanbon(57347)   on 2008-04-04 10:16:12 (Show Source): You can put this solution on YOUR website! If one leg is 12, the other length is 12. Use Pythagoras to find the hypotenuse: h^2 = 12^2 + 12^2 h^2 = 2*12^2 h = 12*sqrt(2) ================== Cheers, Stan H.

Radicals/135223: Mutiply and simplify: (4-3 square root 2) (5+2 square root 2) 1 solutions Answer 99042 by stanbon(57347)   on 2008-04-04 10:14:17 (Show Source): You can put this solution on YOUR website! (4-3 square root 2) (5+2 square root 2) ---------------------------- Use FOIL: F: 4*5=20 O: 4*2sqrt2 = 8sqrt(2) I: 5*-3sqrt(2) = -15sqrt(2) L: -3sqrt2 *2sqrt2 = -6*2 = -12 --------------------------------- Add them up to get: 8-7sqrt2 ========== Cheers, Stan H.

Trigonometry-basics/135220: Multiplying and Dividing Radicals Simplify. 1) 2+√3÷√3 2) √11+ 6 ÷ √27 3) 2√7x²y÷ -3√18x³y 4) 48√42x² ÷ 8 √6x 1 solutions Answer 99041 by stanbon(57347)   on 2008-04-04 10:11:17 (Show Source): You can put this solution on YOUR website! 1) (2+√3)÷√3 = [sqrt(3)*(2+sqrt(3)]/3 = (3+2sqrt(3))/3 --------------------------------------------------------------- 2) (√11+ 6) ÷ √27 = [sqrt(3)(sqrt(11) + 6)/9= [6sqrt(3)+sqrt(33))/9 ---------------------------------------------------------------------- 3) 2√7x²y÷ -3√18x³y = [(2sqrt(7)x^2y)/(-9sqrt(2)x^3y)][sqrt(2)/sqrt(2)] -------------------------------------------------------------------------- = [2sqrt(14)]/[-18x] = [-sqrt(14)]/[9x] ---------------------------------------------- 4) 48√42x² ÷ 8 √6x = 6sqrt(7)x =====================================

Probability-and-statistics/135217: A coin was flipped 60 times and came up heads 38 times. (a) at the .10 level of significance, is the coin biased toward heards? Show your decision rule and calculations. (b) Calculate a p-value and interpret it. 1 solutions Answer 99038 by stanbon(57347)   on 2008-04-04 10:01:11 (Show Source): You can put this solution on YOUR website! A coin was flipped 60 times and came up heads 38 times. p-hat = 38/60 = 19/30 ------------------------- (a) at the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations. Ho: p= 1/2 Ha: p> 1/2 ------------ Critical value of one-tail z-test with alpha = 5%: z = 1.645 ------------- Test statistic: z(19/30) = ((19/30)-(1/2))/sqrt[(0.5*0.5)/60] = 0.1333/0.0645 = 2.0651 ---------- Conclusion: Since test stat lies in the rejection interval, Reject Ho. The test provides statistical evidence the coin is biased toward heads. ------------- (b) Calculate a p-value and interpret it. p-value = P(2.0651 < z < 10) = 0.0191 That means there is only a 1.91% chance the statistical results could have provided stronger evidence for rejecting Ho. ============================= Cheers, Stan H. ------------------

Quadratic_Equations/135214: o.k. o.k. last one today I promise! Use multiplying by 1 to find an expression equivalent to 16/7 with a denominator of 28x. Do not simplify type a fraction 1 solutions Answer 99022 by stanbon(57347)   on 2008-04-04 09:02:20 (Show Source): You can put this solution on YOUR website! find an expression equivalent to 16/7 with a denominator of 28x. ---------------- You have to create the denominator you want but keep the fraction the same: ----------- (16/7)(4x/4x) = 64x/28x ======================= Cheers, Stan H.

Quadratic_Equations/135213: Please. I need help evaluating this problem. p+q/5 for p=44 and q=1 (simplify the answer) Thank you 1 solutions Answer 99020 by stanbon(57347)   on 2008-04-04 08:54:51 (Show Source): You can put this solution on YOUR website! p+q/5 for p=44 and q=1 If you mean p+(q/5) the answer is 44+(1/5) = 44.2 ------------------- If you mean (p+q)/5 the answer is (44+1)/5 = 45/5 = 9 -------------------- Notice how important the parentheses are. That is why we recommend you use them when posting problems. --------------------- cheers, Stan H

Quadratic_Equations/135211: Is this right? Use the commutative law to find an equivalent expression zy. Is it z.x? Thank you for your time. 1 solutions Answer 99019 by stanbon(57347)   on 2008-04-04 08:51:36 (Show Source): You can put this solution on YOUR website! Commute means to change places. zy commutes to yz Similarly z+y commutes to y + z But z-y does not commute to y-z because 5-2 is not the same as 2-5 ================== Cheers, Stan H

Equations/135208: I am having trouble on solving equations with variables on both sides: 10x-31=11x+76 thank you!!! please contact me if possible around 9:05 A.M. 1 solutions Answer 99018 by stanbon(57347)   on 2008-04-04 08:49:18 (Show Source): You can put this solution on YOUR website! 10x-31=11x+76 Subtract 10x from both sides: Subtract 76 from both sides x = -107 ================== Cheers, Stan H.

Quadratic_Equations/135209: Happy Friday to you math pros! Can I get a little help from you this morning? The expression for figuring a student's average test score is p/t, where p is the total points earned on all the tests, and t is the number of tests. Find a student's average when 344 points are earned on 4 tests. The average is____ points. thanks 1 solutions Answer 99017 by stanbon(57347)   on 2008-04-04 08:47:39 (Show Source): You can put this solution on YOUR website! 344/4 = 172/2 = 86 ==================== Cheers, Stan H.

Probability-and-statistics/135178: Find the sum of a geometric series for which a1 = 48, an = 3, and r = -1/2: * 1 solutions Answer 99016 by stanbon(57347)   on 2008-04-04 08:31:57 (Show Source): You can put this solution on YOUR website! Find the sum of a geometric series for which a(1) = 48, an = 3, and r = -1/2 -------------- If a(n) = 3 3 = 48(-1/2)^(n-1) 3/48 = (-1/2)^(n-1) 1/16 = (-1/2)^(n-1) n-1 = 4 n = 5 -------------- S(5) = 48[(-1/2)^5-1]/[(-1/2)-1] S(5) = 48[(-33/32)]/[(-3/2)] S(5) = 48[11/16] S(5) = 33 ----------------- 48+(-24)+12+(-6)+3 = 63-30 = 33 ------------------- Cheers, Stan H.

Human-and-algebraic-language/135177: Translate the following problems into algebraic equations : 1)The final grade for a particular course is calculated by dividing total points earned by total points available. There are 120 points available in the first half of the course, and 140 points in the second half of the course. If a student earns 81% in the first half of the course, how many points must the student earn in the second half in order to earn an 80% B final grade? 2)A girl buys three apples and seven oranges for $4.56. If an orange costs $0.28 more than an apple, how much does each fruit cost? 3)A woman buys three pairs of jeans for $99.84, including tax. If each pair of jeans cost $32, what was the sales tax rate? 1 solutions Answer 99014 by stanbon(57347)   on 2008-04-03 23:57:49 (Show Source): You can put this solution on YOUR website! 1) A woman buys three pairs of jeans for $99.84, including tax. If each pair of jeans cost $32, what was the sales tax rate? ------------------- Cost of 3 jeans = 3*32 = 96 Amount of tax: 99.84-96 = 3.84 --------------------------------- % taz = 3.84/96 = 4% ======================== 2) The final grade for a particular course is calculated by dividing total points earned by total points available. There are 120 points available in the first half of the course, and 140 points in the second half of the course. If a student earns 81% in the first half of the course, how many points must the student earn in the second half in order to earn an 80% B final grade? --------------- final grade = (total pts)/(pts. available) pts available = 120 + 140 = 260 -------------------------------- EQUATION: 1st half: 0.81 = total pts/120 total pts = 0.81*120 = 97.2 (pts. needed in 1st half to get 81%) ----------------------------------- total pts needed for the course: 0.80 = total pts/260 total pts = 208 (pts. needed to get final grade of 80%) --------------------------- pts. needed in the 2nd half = 208-97.2 = 110.8 ================================================ 2)A girl buys three apples and seven oranges for $4.56. If an orange costs $0.28 more than an apple, how much does each fruit cost? EQUATIONS: 3a+7r = 4.56 a-r = -0.28 ----------------- 3a + 7r = 4.56 3a - 3r = -0.84 ------------------- Subtract to get: 10r = 5.4 r = 0.54 (cost of orange) a = r-0.28 a = 0.54-0.28 a = 0.26 (cost of an apple) ======================== Cheers, Stan H.

Human-and-algebraic-language/135174: Translate the following problems into algebraic equations : 1) A woman buys three pairs of jeans for $99.84, including tax. If each pair of jeans cost $32, what was the sales tax rate? 2) The final grade for a particular course is calculated by dividing total points earned by total points available. There are 120 points available in the first half of the course, and 140 points in the second half of the course. If a student earns 81% in the first half of the course, how many points must the student earn in the second half in order to earn an 80% B final grade? 1 solutions Answer 99013 by stanbon(57347)   on 2008-04-03 23:20:55 (Show Source): You can put this solution on YOUR website! 1) A woman buys three pairs of jeans for $99.84, including tax. If each pair of jeans cost $32, what was the sales tax rate? ------------------- Cost of 3 jeans = 3*32 = 96 Amount of tax: 99.84-96 = 3.84 --------------------------------- % taz = 3.84/96 = 4% ======================== 2) The final grade for a particular course is calculated by dividing total points earned by total points available. There are 120 points available in the first half of the course, and 140 points in the second half of the course. If a student earns 81% in the first half of the course, how many points must the student earn in the second half in order to earn an 80% B final grade? --------------- final grade = (total pts)/(pts. available) pts available = 120 + 140 = 260 -------------------------------- EQUATION: 1st half: 0.81 = total pts/120 total pts = 0.81*120 = 97.2 (pts. needed in 1st half to get 81%) ----------------------------------- total pts needed for the course: 0.80 = total pts/260 total pts = 208 (pts. needed to get final grade of 80%) --------------------------- pts. needed in the 2nd half = 208-97.2 = 110.8 ================================================ Cheers, Stan H.

Quadratic_Equations/135163: A silver coin was purchased for $430 in 1985.The market value for silver declined to the point that in 2007 the coin was worth $200. What was the average annual rate of depreciation of the silver coin? 1 solutions Answer 99012 by stanbon(57347)   on 2008-04-03 22:59:43 (Show Source): You can put this solution on YOUR website! A silver coin was purchased for $430 in 1985.The market value for silver declined to the point that in 2007 the coin was worth $200. What was the average annual rate of depreciation of the silver coin? ------------------- (200-430)/(2007-1985) = -230/22 = -$10.4545 per year ====================== Cheers, Stan H.

Human-and-algebraic-language/135169: Translate the following problems into algebraic equations: 1) In a certain triangle the measure of one angle is double the measure of a second angle but is 10 degrees less than the measure of the third angle. [The sum of the measures of three interior angles of a triangle is always 180 degrees.] What is the measure of each angle? 2) Tom’s uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. The second longest side is 2 yards shorter than the longest side. What is the length of each side? 1 solutions Answer 99011 by stanbon(57347)   on 2008-04-03 22:45:24 (Show Source): You can put this solution on YOUR website! 1) In a certain triangle the measure of one angle is double the measure of a second angle but is 10 degrees less than the measure of the third angle. [The sum of the measures of three interior angles of a triangle is always 180 degrees.] What is the measure of each angle? ------------------------- Let the 2nd angle be "x" Then "one angle" is "2x" 3rd angle is 2x+10 ---------------------- EQUATION x + 2x + 2x+10 = 180 5x+10 = 180 5x = 170 ----------------- x = 34 (2nd angle) 2x = 68 (one angle) 2x+10 = 78 (3rd angle) ------------------------ Cheers, Stan H. 2) Tom’s uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. The second longest side is 2 yards shorter than the longest side. What is the length of each side?

percentage/135173: This question is from textbook Steck-Vaughn GED MATHEMATICS 3 is 0.2 percent of what number? 1 solutions Answer 99010 by stanbon(57347)   on 2008-04-03 22:29:52 (Show Source): You can put this solution on YOUR website! 3 is 0.2 percent of what number? ---------------------------------- EQUATION: 3 = (0.2/100)x 3 = 0.002x x = 3/0.002 x = 1500 ================ Cheers, Stan H.

Angles/135164: What do you set the equation equal to when you are looking for the measure of an angle in a circle? example: what would the angle equal if the equation was: 15x+3 would I set it equal to 360 or what or what if the equation were just 4x 1 solutions Answer 99009 by stanbon(57347)   on 2008-04-03 22:23:52 (Show Source): You can put this solution on YOUR website! What do you set the equation equal to when you are looking for the measure of an angle in a circle? example: what would the angle equal if the equation was 15x+3; would I set it equal to 360 or what or what if the equation were just 4x. -------------------- That is all pretty confusing but I can say this. If you have y = 15x, 15 is the slope of the line and is (change in y)/(change in x) But change in y/change is x is the tangent of a central angle theta If tan(theta) = 15/1, then theta = 86.18 degrees. ---------------------- You may not have wanted to know that. ----------------------- Please read your posted question and see if it makes any sense to you. ================================== Cheers, Stan H.