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Recent problems solved by 'stanbon'

stanbon answered: 57322 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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Quadratic_Equations/357634: Give exact and approximate solutions to three decimal places. (x-9)^2 = 45 1) What are the exact solutions??? 2) What are the approximate solutions??? 1 solutions Answer 255322 by stanbon(57395)   on 2010-10-17 20:01:21 (Show Source): You can put this solution on YOUR website! Give exact and approximate solutions to three decimal places. (x-9)^2 = 45 1) What are the exact solutions??? (x-9)^2-45 = 0 [x-9-3sqrt(5))(x-9+3sqrt(5) = 0 ---- x = 9+3sqrt(5) or x = 9-3sqrt(5) -------------------------------------- 2) What are the approximate solutions??? ???? Cheers, stan H.

Travel_Word_Problems/357640: i need help with a figureing out how to solve, A bus travels at a constant speed of 80kmh how far does it travel in 45minutes? i no its 60km but how does the it work if u change up the speed and and the time 1 solutions Answer 255319 by stanbon(57395)   on 2010-10-17 19:53:46 (Show Source): You can put this solution on YOUR website! i need help with a figuring out how to solve, A bus travels at a constant speed of 80kmh how far does it travel in 45minutes? i kwno its 60km but how does the it work if u change up the speed and and the time -------------------------------------- distance = rate*time d = 80 km/h*(3/4) hr d = 60 km ------- Distance and rate are directly related. If time is kept constnnt and rate increases, distance will increase> --- Distance and time are directly related. If rate is kept constant and time increases, distance will increase. =========================================== Cheers, Stan H. ---------

Quadratic_Equations/357638: Determine the nature of the solutions of the equation. x^2 - 4x + 6 = 0 The equation has one real solution, two real solutions, or two non real solutions???? 1 solutions Answer 255316 by stanbon(57395)   on 2010-10-17 19:46:30 (Show Source): You can put this solution on YOUR website! Determine the nature of the solutions of the equation. x^2 - 4x + 6 = 0 a = 1 ; b = -4 ; c = 6 The equation has one real solution, two real solutions, or two non real solutions???? --- b^2-4ac = 16 - 4*1*6 < 0 --- Ans: 2 non real solutions. ================ Cheers, Stan H.

Geometry_Word_Problems/357609: the formula for the perimeter of a rectangle is p=2l+2w where l is the length and w is the width. a rectangle has a perimeter of 24 inches. find its dimensions if its length is three inches greater than its width. 1 solutions Answer 255313 by stanbon(57395)   on 2010-10-17 19:43:45 (Show Source): You can put this solution on YOUR website! the formula for the perimeter of a rectangle is p=2l+2w where l is the length and w is the width. a rectangle has a perimeter of 24 inches. find its dimensions if its length is three inches greater than its width ---- Let width = w The length = x+3 ---------------------- P = 2(L+W) 24 = 2(w+3+w) 12 = 2w+3 2w = 9 w = 4.5 inches (width) --- length = 4.5+3 = 7.5 inches (length) ====================================== Cheers, Stan H.

Triangles/357621: i have several questions..... Classify each triangle (acute, obtuse, right) based on the given side lengths. 1) 6,9,10 2) 18,24,30 3) 20,100,110 4) 7,24,25 5) 2,5,6 6) 13,21,24 (if you could, could you explain how to do this?) && Find the area of the shaded region. leave answers in simplest radical form 1) (isosceles) b= 40 in. side= 29 in. 2) (isosceles) b= 12 cm side=14 cm 3) (isosceles) b= 70 ft. side= 41 ft. 1 solutions Answer 255310 by stanbon(57395)   on 2010-10-17 19:37:08 (Show Source): You can put this solution on YOUR website! Classify each triangle (acute, obtuse, right) based on the given side lengths. --- Let "c" be the longest side on each set of three numbers. If c^2 = a^2+b^2, the triangle is right --- If c^2 > a^2 + b^2, the triangle is obtuse --- If c^2 < a^2 + b^2, the triangle is acute. ----------------- 1) 6,9,10 Example: 10^2 R 6^2 + 9^2 100 R 36+81 100 < 117 Therefore the triangle is acute. ------------------------------ Use the same process on #2 thru #6: 2) 18,24,30 3) 20,100,110 4) 7,24,25 5) 2,5,6 6) 13,21,24 Cheers, Stan H.

Inequalities/357605: Can you please show the steps to solve 4x+2-6x<-1 1 solutions Answer 255308 by stanbon(57395)   on 2010-10-17 19:26:46 (Show Source): You can put this solution on YOUR website! show the steps to solve 4x+2-6x<-1 --- -2x+2 < -1 Add 2x to both sides to get: 2 < 2x-1 ---- 2x > 3 --- x > 3/2 ================= Cheers, stan H.

Money_Word_Problems/357608: $1500 was invested at 8% compounded quarterly. Will it grow to $2000 in 4 years? 1 solutions Answer 255306 by stanbon(57395)   on 2010-10-17 19:23:07 (Show Source): You can put this solution on YOUR website! the formula for the perimeter of a rectangle is p=2l+2w where l is the length and w is the width. a rectangle has a perimeter of 24 inches. find its dimensions if its length is three inches greater than its width ---- Let width = w The length = x+3 ---------------------- P = 2(L+W) 24 = 2(w+3+w) 12 = 2w+3 2w = 9 w = 4.5 inches (width) --- length = 4.5+3 = 7.5 inches (length) ====================================== Cheers, Stan H.

Numbers_Word_Problems/357607: a salesman rented a car that got 35 miles per gallon. he paid $19.50 a day for the car plus $0.26 per mile. he rented the car for 1 day and paid $39. how many miles did he travel? 1 solutions Answer 255303 by stanbon(57395)   on 2010-10-17 19:16:29 (Show Source): You can put this solution on YOUR website! a salesman rented a car that got 35 miles per gallon. he paid $19.50 a day for the car plus $0.26 per mile. he rented the car for 1 day and paid $39. how many miles did he travel? ------------------------ cost = 19.50 + 0.26x where "x" is number of miles driven. ------------------------------------- Solve 19.50 + 0.26x = 39 0.26x = 9.50 --- x = 36.54 miles ====================== Cheers, Stan H.

Probability-and-statistics/357550: How do you solve this question? The IQ scores of a distribution is subject to the normal distribution with the mean X=105 and standard deviation s= 15. What is the percentage (likelihood) that an IQ score is lower than 135? 1 solutions Answer 255301 by stanbon(57395)   on 2010-10-17 19:10:40 (Show Source): You can put this solution on YOUR website! The IQ scores of a distribution is subject to the normal distribution with the mean X=105 and standard deviation s= 15. What is the percentage (likelihood) that an IQ score is lower than 135? ----------------- z(135) = (135-105)/15 = 2 ---- Percent(x < 135) = Percent(z < 2) = normalcdf(-100,2) = 0.9773 ============ Cheers, Stan H. =======

Geometry_Word_Problems/357225: At a school supply store, a saleswoman sold 32 notebookes on Monday, some for $1.50 each and the rest for $2.00 each. If her notebook receipts that day totaled $51.00, how many of each type of notebook did she sell? 1 solutions Answer 255131 by stanbon(57395)   on 2010-10-16 22:24:23 (Show Source): You can put this solution on YOUR website! At a school supply store, a saleswoman sold 32 notebookes on Monday, some for $1.50 each and the rest for $2.00 each. If her notebook receipts that day totaled $51.00, how many of each type of notebook did she sell? --------- Quantity Eq:::: a + b = 32 Value equation:1.5a+2b = 51 dollars ------------------------------------ Multiply thru the 1st equation by 20 Multiply thru the 2nd equation by 10 -------- 20a + 20b = 20*32 15a + 20b = 10*51 ------------------------------ Subtract and solve for "a": 5a = 130 a = 26 (# of $1.50 notebooks sold) --- Since a+b=32, b = 6 (# of $2 notebooks sold) ------------------ Cheers, Stan H. ------------------

Linear-equations/357235: Because the percentage of the U.S. population that was foreign-born decreased from 1910 through 1970 and then increased after that, an equation of the form y = ax^2 + bx + c, rather than a linear equation of the form y = mx + b, should be used to model the data. Determine whether this statement "makes sense" or "does not make sense" and explain your reasoning. 1 solutions Answer 255128 by stanbon(57395)   on 2010-10-16 22:17:41 (Show Source): You can put this solution on YOUR website! Because the percentage of the U.S. population that was foreign-born decreased from 1910 through 1970 and then increased after that, an equation of the form y = ax^2 + bx + c, rather than a linear equation of the form y = mx + b, should be used to model the data. ---------------- That makes sense. A parabola opening up would model the changes occurring in the problem. -------------------- Cheers, Stan H.

Angles/357193: Math expression One of the angles of two complementary angles measures x. Find an expression or the other angle. 1 solutions Answer 255099 by stanbon(57395)   on 2010-10-16 20:19:35 (Show Source): You can put this solution on YOUR website! Math expression One of the angles of two complementary angles measures x. Find an expression or the other angle. ---- Let the "other angle" be "y": Equation: x + y = 90 y = 90-x ---- Ans: 90-x ================ Cheers, Stan H.

percentage/357194: on a 30 question test how many can you miss in order to receive a 70%? 1 solutions Answer 255096 by stanbon(57395)   on 2010-10-16 20:16:19 (Show Source): You can put this solution on YOUR website! on a 30 question test how many can you miss in order to receive a 70%? -- 0.70*30 = 21 --- 30-21 = 9 --- You can miss 9 ================== Cheers, Stan H.

Percentage-and-ratio-word-problems/357179: the algebraic expression 893.5/(x+14.2) models the success reate for plaintiffs in personal injury suits x years after 1989. The model measures success rate as a percent and is valid only for 1989 through 1992. A.Find the percentage of cases that resulted in success for the plaintiff in personal injury cases from 1989 through 1992. B.What happened to the plaintiff's rate of success over this period? C.If this model is extended into the future, what is a reasonable estimate for the success rate in the year 2000? 1 solutions Answer 255094 by stanbon(57395)   on 2010-10-16 20:11:37 (Show Source): You can put this solution on YOUR website! the algebraic expression 893.5/(x+14.2) models the success reate for plaintiffs in personal injury suits x years after 1989. The model measures success rate as a percent and is valid only for 1989 through 1992. A.Find the percentage of cases that resulted in success for the plaintiff in personal injury cases from 1989 through 1992. ---- 1989 percent: 893.5/14.2 = 62.9% --- 1992 percept: 893.5/(3+14.2) = 51.9% --------------------------------------------- B.What happened to the plaintiff's rate of success over this period? It decreased --------------------------- C.If this model is extended into the future, what is a reasonable estimate for the success rate in the year 2000? -- 893.5/(11+14.2) = 35.46% ============================= Cheers, Stan H.

Trigonometry-basics/357170: Find all X in the interval [0,2pi) that satisfy the equation sin2X=0 1 solutions Answer 255093 by stanbon(57395)   on 2010-10-16 20:02:40 (Show Source): You can put this solution on YOUR website! Find all X in the interval [0,2pi) that satisfy the equation sin2X=0 --- The sin is zero at 0 and at 2(pi). --- Solve 2X = 0 or 2X = 2(pi) X = 0 or X = pi =================== Cheers, Stan H. ========================

Mixture_Word_Problems/357191: How many ounces of pure chocolate must be added to 140 oz of chocolate topping that is 50% chocolate to make a topping that is 75% chocolate? ? oz 1 solutions Answer 255092 by stanbon(57395)   on 2010-10-16 19:53:43 (Show Source): You can put this solution on YOUR website! How many ounces of pure chocolate must be added to 140 oz of chocolate topping that is 50% chocolate to make a topping that is 75% chocolate? ---------------- Equation: chocolate + chocolate = chocolate 0.50*140 + 1.00x = 0.75(140+x) --- Multiply thru by 100 and solve for "x": 50*140 + 100x = 75*140 + 75x 25x = 25*140 x = 140 oz (amt. of pure chocolate that must be added to the mixture) ==================== Cheers, Stan H.

Mixture_Word_Problems/357192: Five grams of sugar are added to a 45-gram serving of a breakfast cereal that is 20% sugar. What is the percent concentration of sugar in the resulting mixture? ? % 1 solutions Answer 255090 by stanbon(57395)   on 2010-10-16 19:49:30 (Show Source): You can put this solution on YOUR website! Five grams of sugar are added to a 45-gram serving of a breakfast cereal that is 20% sugar. What is the percent concentration of sugar in the resulting mixture? -------------- Equation: sugar + sugar = sugar 0.20*45 + 5 = x(45+5) --- Multiply thru by 100 to get: 20*45 + 500 = 100x(50) 1400 = 5000x x = 0.28 ---- Ans: 28% ============= Cheers, Stan H.

Angles/357190: the measure of two complementary angles are represented by (3x+15) and (2x-10) what is the value of x? 1 solutions Answer 255089 by stanbon(57395)   on 2010-10-16 19:44:40 (Show Source): You can put this solution on YOUR website! the measure of two complementary angles are represented by (3x+15) and (2x-10) what is the value of x? --- If they are complementary, their sum is 90. --- Equation: 3x+15 + 2x-10 = 90 5x + 5 = 90 5x = 85 x = 17 --- Angle: 3x+15 = 3*17+15 = 66 degrees Angle 2x-10 = 2*17-10 = 24 degrees ------ Cheers, Stan H.

Rational-functions/357189: how can you tell if y=9x-2 is a function? 1 solutions Answer 255088 by stanbon(57395)   on 2010-10-16 19:40:37 (Show Source): You can put this solution on YOUR website! how can you tell if y=9x-2 is a function? ---- graph it and see if it passes the vertical line test. If x = 0, y = -2, giving you the point (0,-2) If x = 1, y = 7, giving you the point (1,7) Plot the two points and draw a line thru them. ---- ---- Vertical line test. If every vertical line intersects the graph only once the equation is a function. ------- Cheers, Stan H.

Probability-and-statistics/357138: There are 9 apples in a bag; 5 are red and 4 are yellow. Two apples are selected at random, one after another with replacement, and the color of each is noted. Find the probablity that at least 1 is red? 1 solutions Answer 255086 by stanbon(57395)   on 2010-10-16 19:37:05 (Show Source): You can put this solution on YOUR website! There are 9 apples in a bag; 5 are red and 4 are yellow. Two apples are selected at random, one after another with replacement, and the color of each is noted. Find the probablity that at least 1 is red? ---- P(at least one red) = 1 - P(none is red) --- = 1 -(4/9)(4/9) --- = 1 - 16/81 --- = 65/81 ============== Cheers, Stan H.

Evaluation_Word_Problems/357188: Find four consecutive integers so that if the first is increased by 2, the second decreased by 2, the third multiplied by 2 and the fourth divided by 2, then the sum of the four resulting numbers is 200. 1 solutions Answer 255085 by stanbon(57395)   on 2010-10-16 19:32:14 (Show Source): You can put this solution on YOUR website! Find four consecutive integers so that if the first is increased by 2, the second decreased by 2, the third multiplied by 2 and the fourth divided by 2, then the sum of the four resulting numbers is 200. ------ 1st: x-1 2nd: x 3rd: x+1 4th: x+2 ------------------------- Equation: x-1+2 + x-2 + 2(x+1) +(x+2)/2 = 200 ---- x +1 + x - 2 + 2x+2 + (x+2)/2 = 200 4x +1 + (x+2)/2 = 200 8x+2 + x+2 = 400 9x + 4 = 400 9x = 396 x = 44 ---- 1st: 39 2nd: 40 3rd: 41 4th: 42 =============== Cheers, Stan H.

percentage/357186: need some help with this question please. a stadium has two sections A and B . Tickets for section A cost $a and tickets for section B cost cost $b. johana piad $105 for 5 section A tickets and 3 section B tickets. raiyah paid $63 for 4 section A tickets and 1 section B ticket i)write two equations in a and b to represent the information above. ii) calculate the values of a and b. 1 solutions Answer 255083 by stanbon(57395)   on 2010-10-16 19:26:40 (Show Source): You can put this solution on YOUR website! Tickets for section A cost $a and tickets for section B cost cost $b. johana piad $105 for 5 section A tickets and 3 section B tickets. raiyah paid $63 for 4 section A tickets and 1 section B ticket i)write two equations in a and b to represent the information above. Value Eq:::: 5a + 3b = 105 dollars Value Eq:::: 4a + b = 63 dollars -------------------- ii) calculate the values of a and b. Modify the equations: Multiply thru the 1st equation by 4. Multiply thru the 2nd equation by 5. 20a + 12b = 4*105 20a + 5b = 5*63 ------------------------ Subtract the lower from the upper equation: 7b = 105 b = 17 (price of section B tickets) ---- Substitute and solve for "a": 4a + 17 = 63 4a = 46 a = 11.50 (price of section A tickets) =========================================== Cheers, Stan H.

Functions/357176: Hi, Actually I'm in college algebra, but since the following problem has to do with range, this was the closest category I could come up with. Here's the problem: Find the range of the function: f(x)=x^2+12x+34 1 solutions Answer 255080 by stanbon(57395)   on 2010-10-16 19:19:46 (Show Source): You can put this solution on YOUR website! Find the range of the function: f(x)=x^2+12x+34 --- Since the parabola opens upward from the vertex, you have to find the y-value of the vertex. ----- Vertex occurs at x = -b/2a = -12/(2) = 6 ---- y-value at x = 6 is 6^2+12*6+34 = 142 ----- Range: All Real Numbers >= 142 =================================== Cheers, Stan H.

Rational-functions/357185: x^2-16x+4=0 1 solutions Answer 255077 by stanbon(57395)   on 2010-10-16 19:14:49 (Show Source): You can put this solution on YOUR website! x^2-16x+4=0 Quadratic Formula: x = [16 +- sqrt(16^2-4*4)]/2 --- x = [16 +- sqrt(240)]/2 --- x = [16 +- 4sqrt(15)]/2 --- x = [8 +- 2sqrt(15)] =========================== Cheers, Stan H.

Rational-functions/357181: Write the following two fractions in terms of the LCM of the denominators. q+5/q^2-4q-21 and q/q^2-11q+28 1 solutions Answer 255073 by stanbon(57395)   on 2010-10-16 19:08:53 (Show Source): You can put this solution on YOUR website! Write the following two fractions in terms of the LCM of the denominators. q+5/q^2-4q-21 and q/q^2-11q+28 ---- Factor the denominators: q^2-4q-21 = (q-7)(q+3) q^2-11q+28 = (q-7)(q-4) --- LCM: (q+3)(q-4)(q-7) -------------------------- Rewrite the fractions: (q+5)(q-4)/LCM --- and --- q(q+3)/LCM ================ Cheers, Stan H.

percentage/357178: a total of 1,200 students attended top view high school the ratio of teachers to students is 1:30. i)how many teachers are there in the school? two thifths of the students own personal computers ii) how many students do not own personal computers? thirty percent of the students who own personal computers also own play stations. iii) what fractions of the students in the school own play stations? 1 solutions Answer 255071 by stanbon(57395)   on 2010-10-16 18:57:55 (Show Source): You can put this solution on YOUR website! a total of 1,200 students attended top view high school the ratio of teachers to students is 1:30. i)how many teachers are there in the school? 1:30 is the same as x:30x --- Equation: x + 30x = 1200 31x = 1200 x = 1200/31 ---- # of teachers = 1200/31 is approximately 39 ------------------------ two thifths of the students own personal computers ii) how many students do not own personal computers? What are thifths? ---------------------- thirty percent of the students who own personal computers also own play stations. iii) what fractions of the students in the school own play stations? Answer depends on the answer to ii. ====================================== Cheers, Stan H.

Polynomials-and-rational-expressions/357172: Fences R Us wants to replace their office’s traditional computers and two-dimensional monitors with a virtual reality system. The fixed monthly cost will be $400,000, and it will cost $700 to produce each system. 1) Find and interpret A(1000), A(10,000) and A(100,000). 1 solutions Answer 255063 by stanbon(57395)   on 2010-10-16 18:21:22 (Show Source): You can put this solution on YOUR website! Fences R Us wants to replace their office’s traditional computers and two-dimensional monitors with a virtual reality system. The fixed monthly cost will be $400,000, and it will cost $700 to produce each system. 1) Find and interpret A(1000), A(10,000) and A(100,000). ----- A(x) = 400,000 + 700x --- A(1000) = 400,000 + 700*1000 = 1,100,000 etc. Cheers, Stan H.

logarithm/357168: A piece of machinery valued at $250,000 depreciates at a fixed rate of 12% per year. After how many years will the value have depreciated to $100,000? 1 solutions Answer 255059 by stanbon(57395)   on 2010-10-16 18:05:17 (Show Source): You can put this solution on YOUR website! A piece of machinery valued at $250,000 depreciates at a fixed rate of 12% per year. After how many years will the value have depreciated to $100,000? ------------------------------ Each year the item retains 88% of its last-year value. --- Solve: 250,000(0.88)^x = 100,000 0.88^x = 0.4 --- x = [log0.4]/[log0.88] --- x = 7.168 years ======================= Cheers, Stan H.

Travel_Word_Problems/357158: At Johnson Middle school, 170 students buy 3 ring binders from school store. This number has been increasing at a rate of about 25 per year. The number of students buying 2 ring binders is 300 and has been decreasing at a rate of about 15 per year. At these rates, when will the number of 2 ring binders sold be half the number of 3 ring binders sold? 1 solutions Answer 255056 by stanbon(57395)   on 2010-10-16 17:53:55 (Show Source): You can put this solution on YOUR website! At Johnson Middle school, 170 students buy 3 ring binders from school store. This number has been increasing at a rate of about 25 per year. --- #(3 ring) = 170+25x ------------------------------------ The number of students buying 2 ring binders is 300 and has been decreasing at a rate of about 15 per year. --- #(2 ring) = 300-15x ============================== At these rates, when will the number of 2 ring binders sold be half the number of 3 ring binders sold? --- Equation: Solve: 300-15x = (1/2)(170+25x) --- 600 - 30x = 170+25x 55x = 430 x = 7.82 years -------------------------- Cheers, Stan H.

Rational-functions/357163: Simplify: 5p+10/2p^2-2p * p^2-4p+3/p^2-p-6 1 solutions Answer 255054 by stanbon(57395)   on 2010-10-16 17:38:55 (Show Source): You can put this solution on YOUR website! Simplify: 5p+10/2p^2-2p * p^2-4p+3/p^2-p-6 ---- Factor where you can: [5(p+2)]/[2p(p-1)] * [(p-3)(p-1)/(p-3)(p+2)] ---- Cancel factors common to a numerator and a denominator, such as (p+2),(p-1),(p-3), you get: ---- = [5/2p] ============================== Cheers, Stan H.

Equations/357165: solve the following system of equations x+5y= 8 (1) x= 5-5y (2) 1 solutions Answer 255050 by stanbon(57395)   on 2010-10-16 17:30:00 (Show Source): You can put this solution on YOUR website! solve the following system of equations x+5y= 8 x= 5-5y ----------- Rearrange: x + 5y = 8 x + 5y = 5 ------- Assuming those x's and y's mean the same in both equations you subtract and get: --- 0 = 3 -- The assumption was wrong. There is no (x,y) pair that satisfies both equations. --- Conclusion: No solution ============================== Cheers, Stan H.