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Recent problems solved by 'stanbon'

stanbon answered: 57255 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 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239 , 57240..57269, >>Next

logarithm/240670: what is the answeat to log8/logx=3 1 solutions Answer 176308 by stanbon(57323)   on 2009-11-19 08:19:14 (Show Source): You can put this solution on YOUR website! what is the answer to log8/logx=3 ------- Cross-multiply to get: 3log(x) = log(8) log(x^3) = log(8) x^3 = 8 x = 2 =========== Cheers, Stan H.

Numbers_Word_Problems/240655: The units’ digit of a two digit number is twice the tens’ digit. If the digits of the number were reversed the resulting number would be six less than twice the original number. Find the original number. A. 12; B. 24; C. 36; D. 48; E. none 1 solutions Answer 176306 by stanbon(57323)   on 2009-11-19 08:02:37 (Show Source): You can put this solution on YOUR website! The units’ digit of a two digit number is twice the tens’ digit. If the digits of the number were reversed the resulting number would be six less than twice the original number. Find the original number. ---- Let the original number be 10t+u The reversed-digit number is 10u+t --------------------- Equations: u = 2t 10u+t = 2(10t+u)-6 -------------- Substitute for "u" and solve for "t": 10(2t)+t = 2(10t+2t)-6 21t = 24t-6 3t = 6 t = 2 (the ten's digit) -------------------------------- Since u = 2t, u = 4 (the unit's digit) ====================================== Original number = 24 ========================================== Cheers, Stan H. A. 12; B. 24; C. 36; D. 48; E. none

Probability-and-statistics/240666: Last q before my exam: Football fans claim that it takes 35 minutes to get out of the stadium after a game when over 30000 fans attend the game. To determine if the complains are justified , a random sample of 100 fans is taken. The average time it takes these 100 fans to exit the parking is 27 minutes and sample standard deviatian is 7 minutes. a) Estimate the mean departe time= 27 minutes? b) Construct a 95% CI for the mean departure time and interpret the result? Thx soo much for all your help 1 solutions Answer 176303 by stanbon(57323)   on 2009-11-19 07:51:09 (Show Source): You can put this solution on YOUR website! Football fans claim that it takes 35 minutes to get out of the stadium after a game when over 30000 fans attend the game. To determine if the complains are justified , a random sample of 100 fans is taken. The average time it takes these 100 fans to exit the parking is 27 minutes and sample standard deviatian is 7 minutes. a) Estimate the mean departe time = 27 minutes? b) Construct a 95% CI for the mean departure time and interpret the result? ---------- sample mean: 27 min ------ standard error: SE = t*s/sqrt(n) t = invT(0.025,99) = 1.9842 SE = 1.9842*7/sqrt(100) = 1.389 --- 95% CI: 27-1.389 < u < 27+1.389 95% CI: 25.61 < u < 28.389 --------------------------------- Meaning: We are 95% confident the mean departure time is between 25.61 min and 28.389 min ================================== Cheers, Stan H.

Complex_Numbers/240605: (4-3i)-(7+8i) 1 solutions Answer 176263 by stanbon(57323)   on 2009-11-18 22:11:06 (Show Source): You can put this solution on YOUR website! (4-3i)-(7+8i) ---------------- = (4-7)+(-3-8)i --- = -3-11i =============== Cheers, Stan H.

Numbers_Word_Problems/240602: The sum of three consecutive odd integers is 279.What are the integers? I tried this problem but i wasn't sure if it was correct? Also i really didn't understand to much of it.This is how i did my problem:x+(x+3)=279,2x+3=279,2x=276 1 solutions Answer 176262 by stanbon(57323)   on 2009-11-18 22:09:03 (Show Source): You can put this solution on YOUR website! The sum of three consecutive odd integers is 279. What are the integers? --------------- 1st: 2x-1 2nd: 2x+1 3rd: 2x+3 ---------------------- Equation: 6x+3 = 279 6x = 276 x = 49 ------------- 1st: 2x-1 = 97 2nd: 99 3rd: 101 ======================== Cheers, Stan H.

Money_Word_Problems/240600: ms. Jones invested 18,000 in two accounts. One account pays 6 % simple interest and the other pays 8%. Her total interest for the year was $1,290. How much did she have in each account can anyone help me find the answer with a full break down 1 solutions Answer 176261 by stanbon(57323)   on 2009-11-18 22:05:09 (Show Source): You can put this solution on YOUR website! ms. Jones invested 18,000 in two accounts. One account pays 6 % simple interest and the other pays 8%. Her total interest for the year was $1,290. How much did she have in each account ------------------------- Equation: Quantity: x + y = 18000 Interest:0.06x + 0.08y = 1290 -------------------------------------- Multiply the Quantity Eq. by 6 Multiply the Interest Eq. by 100 6x + 6y = 108000 6x + 8y = 129000 ---------------------------------------- Subtract the 1st equation from the 2nd and solve for "y": 2y = 21000 y = 10500 (amount invested at 8%) --------------------- Since x+y= 180000, x = 7500 (amount invested at 6%) ==================================== Cheers, Stan H.

Pythagorean-theorem/240599: Find the length of each hypotenuse. (Legs)^2+(legs)^2=hypotenuse^2 (39)^2+(24)^2=x^2 1 solutions Answer 176260 by stanbon(57323)   on 2009-11-18 21:56:47 (Show Source): You can put this solution on YOUR website! (39)^2+(24)^2=x^2 --- x^2 = 2097 --- x = 45.793... Cheers, Stan H.

Polynomials-and-rational-expressions/240597: Quadratic Trinomials : Factor each polynomial completely. x^2-5x+4 1 solutions Answer 176259 by stanbon(57323)   on 2009-11-18 21:53:47 (Show Source): You can put this solution on YOUR website! Factor each polynomial completely. x^2-5x+4 ----- = (x-4)(x-1) ====================== Cheers, Stan H.

Age_Word_Problems/240593: My son is completely unclear how to solve this age problem. 4 years ago Tom was twice as old as John. 4 years from now, John will be 3/4 Tom's age. How old are they now? 1 solutions Answer 176258 by stanbon(57323)   on 2009-11-18 21:51:16 (Show Source): You can put this solution on YOUR website! 4 years ago Tom was twice as old as John. 4 years from now, John will be 3/4 Tom's age. How old are they now? --------------------------------------- Let Tom's age NOW be "t". Let John's age NOW be "j". -------------------------------- 4 years ago Equation: 4 years ago Tom was twice as old as John. (t-4) = 2(j-4) ---------------------- 4 years from now Equation: John will be (3/4) Tom's age. (j+4) = (3/4)(t+4) ============================ So use those two equations to solve for "t" and for "j". t-4 = 2j-8 j+4 = (3/4)t + 3 --------------------------- t = 2j-4 j = (3/4)t - 1 ----------------------- Substitute for "t" and solve for "j": j = (3/4)(2j-4)-1 j = (3/2)j-3-1 (1/2)j = 4 j = 8 (John's age NOW) ---------------- Substitute into t = 2j-4 to solve for "t": t = 2*8-4 = 12 (Tom's age NOW) =============================================== Cheers, Stan H.

Travel_Word_Problems/240589: Dr. Pepper left Oakville at 9:00AM and drove to Central City at 60 km/h H. Salt left Oakville at 11:00AM and traveled the same route to Central City. If both mean arrived in Central City at 4:00PM, at what rate did H. Salt travel? 1 solutions Answer 176257 by stanbon(57323)   on 2009-11-18 21:39:05 (Show Source): You can put this solution on YOUR website! Dr. Pepper left Oakville at 9:00AM and drove to Central City at 60 km/h H. Salt left Oakville at 11:00AM and traveled the same route to Central City. If both mean arrived in Central City at 4:00PM, at what rate did H. Salt travel? --------------------------------- Pepper DATA: rate = 60 km/h ; time = 7 hrs ; distance = rt = 420 km ------------------------------------------ Salt DATA: time = 5 hrs; distance = 420 km ; ---------------------------------- rate = distance/time = 420/5 = 84 km/h ============================================== Cheers, Stan H.

Probability-and-statistics/240563: 65 mi/h = ? ft/min 1 solutions Answer 176255 by stanbon(57323)   on 2009-11-18 21:26:00 (Show Source): You can put this solution on YOUR website! 65 mi/h = ? ft/min -------------------------- [65 miles/ hour] --- = (65*5280]/[1*1*60] ft/min --- = (343200/60] ft/min ---- = 5720 ft/min ==================== Cheers, Stan H.

Quadratic_Equations/240464: do you now gow to write an equation of a parabola with a max value of 4 when x is 1 and one x intercept at 2... help with this specific and ones similar to it please 1 solutions Answer 176174 by stanbon(57323)   on 2009-11-18 18:07:21 (Show Source): You can put this solution on YOUR website! do you now how to write an equation of a parabola with a max value of 4 when x is 1 and one x intercept at 2... help with this specific and ones similar to it please ---------------------------- Vertex: (1,4) x-intercept: (2,0) --------------------------- Form: (x-1)^2 = 4p(y-4) Solve for "p": (2-1)^2 = 4p(0-4) -16p = 1 p = -1/16 ===================== Equation: (x-1)^2 = 4(-1/16)(y-4) x^2-2x+1 = (-1/4)(y-4) (-1/4)y + 1 = x^2-2x+1 (-1/4)y = x^2-2x y = -4x^2+8x --------------------------- ======================================================= Cheers, Stan H.

Inequalities/240460: how would you graph 5x + 3y is greater than or = to -9 usimg system of inequalities? 1 solutions Answer 176154 by stanbon(57323)   on 2009-11-18 17:36:08 (Show Source): You can put this solution on YOUR website! how would you graph 5x + 3y is greater than or = to -9 using system of inequalities? ----------------- 1st: Graph the boundary line y = (-5/3)x - 3 ----------------- ----- Shade the half-plane ABOVE the boundary because you want y GREATER than the boundary line. =============================================== Cheers, Stan H.

Polynomials-and-rational-expressions/240452: I have been trying to simplify this problem, but I am not sure where to start. Any help would be greatly appreciated. The problem is: x-1/x^2+1 times x^4-1/(x-1)^2 times x^2-1/x^4-2x^2+1 Thank you for your time. 1 solutions Answer 176151 by stanbon(57323)   on 2009-11-18 17:28:25 (Show Source): You can put this solution on YOUR website! The problem is: [(x-1)/(x^2+1)] times [(x^4-1)/(x-1)^2] times [(x^2-1)/(x^4-2x^2+1)] ------------------------------------------------------------------ Factor where you can; cancel any factor common to a numerator and a denom. ----------------------------- [1/1] times [1/(x-1)] times [1/1] ----------------------------------------------------- = 1/(x-1) ================= Cheers, Stan H.

Inequalities/240448: Suppose that tuition at a state college was $3500 per year in 1995 and has been increasing at a rate of $225 per year. Use this model to predict the tuition at this college in 2007. 1 solutions Answer 176146 by stanbon(57323)   on 2009-11-18 17:11:48 (Show Source): You can put this solution on YOUR website! Suppose that tuition at a state college was $3500 per year in 1995 and has been increasing at a rate of $225 per year. Use this model to predict the tuition at this college in 2007. --------------------------------- T(x) = 225x + 3500 where x is the number of years after 1995 ---------------------- 2007 is 12 years after 1995 --------------- T(12) = 225*12 + 3500 T(12) = 2700 + 2500 T(12) = $5200 =================== Cheers, Stan H.

Inequalities/240440: I don't understand this problem, please help me, |j| minus 2 ≥ 6. And another, -2 = |z| over 7. p.s. the |z| over 7 stands for a fraction. 1 solutions Answer 176144 by stanbon(57323)   on 2009-11-18 17:07:02 (Show Source): You can put this solution on YOUR website! |j| minus 2 ≥ 6 --- |j| >= 8 --- j<= -8 or j>=8 ======================== And another, -2 = |z| over 7 |z|/7 = -2 --- |z| = -14 --- There are no solutions because |z| cannot be negative. ===================================================== Cheers, Stan H.

Quadratic_Equations/240431: if a rectangle has an area of 117cm2 and a perimeter of 44cm what is it's length and breadth 1 solutions Answer 176143 by stanbon(57323)   on 2009-11-18 17:01:01 (Show Source): You can put this solution on YOUR website! if a rectangle has an area of 117cm2 and a perimeter of 44cm what is it's length and breadth ------------------------ width = x length = y ----------------- Area = xy = 117 cm^2 Perim = 2(x+y) = 44 cm ---------------------------- x+y = 22 --------------------- Solve for y: y = 22-x ------------------- Substitute into xy = 117 and solve for "x": x(22-x) = 117 -x^2 + 22x - 117 = 0 x^2 - 22x + 117 = 0 -------------------- Quadratic formula: x = [22 +- sqrt(22^2 - 4*117)]/2 x = [22 +- sqrt(16)]/2 Positive solution: x = [11 + 2] = 13 (width) ------------------------- Since x+y = 22, y = 22-13 = 9 (length) ============================================ Cheers, Stan H.

Square-cubic-other-roots/240437: Please help me simplify 1 solutions Answer 176141 by stanbon(57323)   on 2009-11-18 16:54:01 (Show Source): You can put this solution on YOUR website! simplify --------------------- Make the denominator be a perfect square: --- = sqrt(6x/x^2) = (1/x)sqrt(6x) ====================== Cheers, Stan H.

Probability-and-statistics/240241: It is asserted that 80 percent of the cars approaching an individual toll booth in New Jersey are equipped with an E-ZPass transponder. Find the probability that in a sample of six cars: What is the probability that 10 of the selected policyholders submitted a claim last year? What is the probability that 10 or more of the selected policyholders submitted a claim last year? What is the probability that more than 10 of the selected policyholders submitted a claim last year? 1 solutions Answer 176138 by stanbon(57323)   on 2009-11-18 16:51:14 (Show Source): You can put this solution on YOUR website! It is asserted that 80 percent of the cars approaching an individual toll booth in New Jersey are equipped with an E-ZPass transponder. ------------ Binomial with n=6 ; p = 0.8 ------------------------------------- Find the probability that in a sample of six cars: What is the probability that 10 of the selected policyholders submitted a claim last year? --- You cannot have 10 when the sample size is 6. ================================================== Cheers, Stan H. What is the probability that 10 or more of the selected policyholders submitted a claim last year? What is the probability that more than 10 of the selected policyholders submitted a claim last year?

Probability-and-statistics/240434: A bag contains 6 marbles Three red marbles two blue marbles and one white marble If two marbles are selected at random determine the probability that both are red? 1 solutions Answer 176134 by stanbon(57323)   on 2009-11-18 16:43:04 (Show Source): You can put this solution on YOUR website! A bag contains 6 marbles Three red marbles two blue marbles and one white marble If two marbles are selected at random determine the probability that both are red? ----------------------- ways to get 2 red: 3C2 = 3 --------------- ways to get 2 of any color: 6C2 = 15 ---------------------------- P(both red) = 3/15 = 1/5 =============================== Cheers, Stan H.

Probability-and-statistics/240348: A pizza pub is open 7 days a week. The manager allows each of the three employees to select one day off a week. That is the probability all 3 select the same day given that all 3 select a day beginning with the same letter. 1 solutions Answer 176133 by stanbon(57323)   on 2009-11-18 16:40:49 (Show Source): You can put this solution on YOUR website! A pizza pub is open 7 days a week. The manager allows each of the three employees to select one day off a week. What is the probability all 3 select the same day given that all 3 select a day beginning with the same letter. ---------------- The only days beginning with the same letter are saturdaya and sunday. ---------------- P(all select the same | all select saturday or sunday) ---- P(all select saturday or sunday) = 2(1/2)^2 = 1/2 P(all select the same AND all select saturday or sunday) = (2/7)^2 ------------------- P(all select same | all select sat or sun) = (2/7)^2/(1/2) = 8/49 ================================== Cheers, Stan H.

Travel_Word_Problems/240428: SOLVE: ERIN RIDES HER BIKE AT A CONSTANT SPEED FOR 21 MILES. SHE THEN RETURNS HOME AT THE SAME SPEED BUT TAKES A DIFFERENT ROUTE. HER RETURN TRIP TAKES ONE HOUR LONGER AND IS 26 MILES. FIND HER SPEED. 1 solutions Answer 176132 by stanbon(57323)   on 2009-11-18 16:32:14 (Show Source): You can put this solution on YOUR website! SOLVE: ERIN RIDES HER BIKE AT A CONSTANT SPEED FOR 21 MILES. SHE THEN RETURNS HOME AT THE SAME SPEED BUT TAKES A DIFFERENT ROUTE. HER RETURN TRIP TAKES ONE HOUR LONGER AND IS 26 MILES. FIND HER SPEED. --- 1st Leg: distance = 21 miles ; rate = x mph ; time = 21/x -------------------- 2nd Leg: distance = 26 miles ; rate = x mph ; time = 26/x ------------------------------ Equation: 2nd time - 1st time = 1 hr 26/x - 21/x = 1 26 - 21 = x x = 5 mph ------------------- Cheers, Stan H.

Age_Word_Problems/240423: I am 48, my brother is 42. What is the equation which models how old, in years, I will be when I am 3 times as old as my younger brother. 1 solutions Answer 176130 by stanbon(57323)   on 2009-11-18 16:25:57 (Show Source): You can put this solution on YOUR website! I am 48, my brother is 42. What is the equation which models how old, in years, I will be when I am 3 times as old as my younger brother. ============== Let the missing years be "x". Equation: (48+x) = 3(42+x) 48+x = 126 + 3x 2x = -78 x = -39 ----------------- Your age then: 48-39 = 9 Your brother's age then: 42-39 = 3 ------------------------------------------- Cheers, Stan H.

Probability-and-statistics/240385: Normal distribution A mean amount of profit per car sold for a sample of 25 dealers was 290$, with a standard deviation of 100$ Develop a 90% Confidence interval for th epopulation mean? 1 solutions Answer 176128 by stanbon(57323)   on 2009-11-18 16:18:02 (Show Source): You can put this solution on YOUR website! Normal distribution A mean amount of profit per car sold for a sample of 25 dealers was 290$, with a standard deviation of 100$ Develop a 90% Confidence interval for th epopulation mean? ------------- sample mean: $290 standard error: 1.645*100/sqrt(25) = 32.9 --------------------------- 90% CI: 290-32.9 < u < 290+32.9 ==================================== Cheers, Stan H.

Probability-and-statistics/240388: English people get a mean of 7 hrs sleep per night. A random sample of 36 students revealed the number of 6.5 hrs sleep per night. The standard deviation of the sample was 1.2 hrs. Is it reasonable to conclude that the students sleep less than english people. Set up your hyptheses and test it with 5% level of significance 1 solutions Answer 176125 by stanbon(57323)   on 2009-11-18 15:45:58 (Show Source): You can put this solution on YOUR website! English people get a mean of 7 hrs sleep per night. A random sample of 36 students revealed the number of 6.5 hrs sleep per night. The standard deviation of the sample was 1.2 hrs. Is it reasonable to conclude that the students sleep less than english people. Set up your hyptheses and test it with 5% level of significance ------------------- Ho: u = 7 H1: u < 7 ---------------- critical value for alpha = 5%, df = 35 left-tail tes: t = -1.6896 ------------- test stat: t(6.5)= (6.5-7)/[1.2/sqrt(36)] =-2.5 ------------------ Since the ts is in the reject interval, reject Ho. You have some evidence the students require less sleep. ====================================== Cheers, Stan H.

Travel_Word_Problems/240302: What formula is utilized to answer: if vehicle A and vehicle B leave from the same location, traveling same direction but at different speeds how many miles will it take vehicle B to Catch vehicle A if B is going 120 mph and A is going 100 MPH? 1 solutions Answer 176116 by stanbon(57323)   on 2009-11-18 12:07:23 (Show Source): You can put this solution on YOUR website! What formula is utilized to answer: if vehicle A and vehicle B leave from the same location, traveling same direction but at different speeds how many miles will it take vehicle B to Catch vehicle A if B is going 120 mph and A is going 100 MPH? ----------------------- distance = rate*time ----------------------- B DATA: rate = 120 mph ; distance = x miles; time = x/120 hrs ---------------------------- A DATA: rate = 100 mph ; distance = x miles ; time = x/100 hrs ----------------------- Note: To have a problem the two vehicles have to leave the starting point at different times. Ex: Say that car A leaves 1 hr before car B; you get the following equation: time A - time B = 1 hr x/100 - x/120 = 1 120x - 100x = 100*120 20x = 100*120 x = 600 miles B will catch A at the 600 mile marker. =========================================== Cheers, Stan H.

Quadratic_Equations/240299: x to the 2 power- 3 - 3/4 = 0 a) solve by completing the square b) solve using the quadratic formula (x to the 2 power minus x minus three-fourths equal 0. 1 solutions Answer 176114 by stanbon(57323)   on 2009-11-18 12:00:36 (Show Source): You can put this solution on YOUR website! x to the 2 power- 3x - 3/4 = 0 --- a) solve by completing the square x^2 - 3x - 3/4 = 0 x^2 - 3x + ? = (3/4)+? x^2 - 3x + (3/2)^2 = (3/4) + (3/2)^2 (x-(3/2))^2 = (3/4) + (9/4) (x-(3/2))^2 = 12/4=3 x-3/2 = sqrt(3) or x-3/2 = -sqrt(3) x = (3/2)+sqrt(3) or x = (3/2)-sqrt(3) --------------------------------------------------------- b) solve using the quadratic formula a = 1; b = -3; c = -3/4 --- x = [-b +- sqrt(b^2-4ac)]/(2a) x = [3 +- sqrt(9 - 4*(-3/4)]/2 x = [3 +- sqrt(12)]/2 x = (3/2) + (2/2)sqrt(3) or x = (3/2)-(2/2)sqrt(3) x = (3/2)+ sqrt(3) or x = (3/2)-sqrt(3) ============================================ Cheers, Stan H.

Numbers_Word_Problems/240272: WE GET THE SAME RESULT IF WE MULTIPLY A NUMBER BY 7 OR IF WE MULTIPLY THE NUMBER BY 2 AND ADD 20. FIND THE NUMBER. 1 solutions Answer 176093 by stanbon(57323)   on 2009-11-18 09:40:36 (Show Source): You can put this solution on YOUR website! WE GET THE SAME RESULT IF WE MULTIPLY A NUMBER BY 7 OR IF WE MULTIPLY THE NUMBER BY 2 AND ADD 20. FIND THE NUMBER. ----------------------- Let the number be "x". Equation: 7x = 2x+20 Subtract 2x from both sides to get: 5x = 20 Divide both sides by 5 to get: x = 4 ============= Cheers, Stan H.

Matrices-and-determiminant/240269: I really need your help, Using Cramer's Rule, how would you solve this? 2x-y=4 3x+y-z=10 y+z=3 1 solutions Answer 176092 by stanbon(57323)   on 2009-11-18 09:36:37 (Show Source): You can put this solution on YOUR website! Using Cramer's Rule, how would you solve this? 2x-y+0z=4 3x+y-z=10 0x+y+z=3 ------------------- The coefficient matrix is: 2..-1...0 3...1..-1 0...1...1 ================== The determinant of that matrix is D = 2+0+0-(0-2-3) = 7 --------------- The x-matrix is: 4..-1...0 10...1..-1 3...1...1 ---- The determinant is Dx = 4+3-(0-4-10) = 21 --- Therefore x = Dx/D = 21/7 = 3 ====================================== Form the y-matrix and find its determinant, Dy Divide Dy by D to get "y". ------------------------------------ Form the z-matrix and find its determinant, Dz Divide Dz by D to get "z". ========================================= Cheers. Stan H.

Travel_Word_Problems/240270: a train traveled m miles from the station. if it travels 87 miles more how far will it be from the station 1 solutions Answer 176091 by stanbon(57323)   on 2009-11-18 09:22:16 (Show Source): You can put this solution on YOUR website! a train traveled m miles from the station. if it travels 87 miles more how far will it be from the station --- m+87 miles ================== Cheers, Stan H.

Human-and-algebraic-language/240256: 1)The difference of three times x and y is 11. Please translate into an equation. 2)y less than 3 times x is 9. Again, please translate into an equation. 1 solutions Answer 176090 by stanbon(57323)   on 2009-11-18 09:20:50 (Show Source): You can put this solution on YOUR website! 1)The difference of three times x and y is 11. 3x - y = 11 ---------------------- Please translate into an equation. 2)y less than 3 times x is 9 3x - y = 9 ========================== Cheers, Stan H.