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# Recent problems solved by 'stanbon'

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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 Number-Line/458018: If you are dealing with large numbers, how long should your number line be.1 solutions Answer 314153 by stanbon(57952)   on 2011-06-06 08:50:04 (Show Source): You can put this solution on YOUR website!If you are dealing with large numbers, how long should your number line be. ---- It's not how long your line should be. It's how you scale your line. --- Pick a point on any line segment. If you pick a point 1 in to the right you could label is 1 or you could label it 1 million. It's up to you do decide. Cheers, Stan H.
 Miscellaneous_Word_Problems/458013: the purchasing agent for a transport company is analyzing bids for seat belts from two suppliers A and B. the difference in the cost per unit from each supplier is \$5, if for \$1200 the agent could buy ten more belts from suppliers"A" then from supplier B. How many belts could he buy from A for \$15001 solutions Answer 314152 by stanbon(57952)   on 2011-06-06 08:47:12 (Show Source): You can put this solution on YOUR website!the purchasing agent for a transport company is analyzing bids for seat belts from two suppliers A and B. the difference in the cost per unit from each supplier is \$5, --------------------------- if for \$1200 the agent could buy ten more belts from suppliers"A" then from supplier B. Let number from B be "x": then unit price from B is 1200/x Number from A is "x+10"; then unit price from A is 1200/(x+10) ----- Equation: 1200/x - (1200/(x+10) = \$5 Multiply thru by x(x+10) and solve for "x": 1200x + 1200*10 - 1200x = 5x(x+10) 5x^2+50x - 12000 = 0 x^2 + 10x - 2400 = 0 x = 44.24 So Unit price from A is 1200/54.24 = \$22.12 ==================================================== How many belts could he buy from A for \$1500 # of belts = 1500/22.12 = 67.8 belts (round which ever way you wish) ======================================== Cheers, Stan H.
 Polynomials-and-rational-expressions/458014: How to factor out 18t^2-24t+61 solutions Answer 314151 by stanbon(57952)   on 2011-06-06 08:35:22 (Show Source): You can put this solution on YOUR website!factor out 18t^2-24t+6 ----- Greatest common Factor: 6 --- Factored Form: 6(3t^2-8t+1) =============================== Cheers, Stan H.
 Probability-and-statistics/458006: In a small town, the probability of a power outage during a rainstorm is 10%. find the following probabilities rounded to the nearest %. P(at least 2 outages in the next 5 rainstorms). P(at most 1 outage in the next 5 rainstorms)1 solutions Answer 314149 by stanbon(57952)   on 2011-06-06 06:51:40 (Show Source): You can put this solution on YOUR website!In a small town, the probability of a power outage during a rainstorm is 10%. find the following probabilities rounded to the nearest %. ---- Binomial Problem with n = 5 and p = 0.10 ---- P(at least 2 outages in the next 5 rainstorms). --- P(2 <= x <=5) = 1-P(0<= x<=1) = 1-binomcdf(5,0.1,1) = 0.0815 ------------------ P(at most 1 outage in the next 5 rainstorms) P(0 <= x <=1) = 0.9185 =========================== Cheers, Stan H.
 Evaluation_Word_Problems/457912: Find the CENTER and the LENGTH of a radius of the circle. x2 + y2 + 16x + 4y + 59 = 01 solutions Answer 314091 by stanbon(57952)   on 2011-06-05 22:32:20 (Show Source): You can put this solution on YOUR website!Find the CENTER and the LENGTH of a radius of the circle. x^2 + y^2 + 16x + 4y + 59 = 0 ------------------------- Complete the square on the x-terms and on the y-terms. ---------------------------- x^2+16x+64 + y^2+4y+4 = -59+64+4 -------- (x+8)^2 + (y+2)^2 = 9 --- center at (-8,-2) radius = sqrt(9) = 3 ========================= Cheers, Stan H.
 Graphs/457919: how to graph: y"is less than or equal to sign"-x + 21 solutions Answer 314088 by stanbon(57952)   on 2011-06-05 22:24:03 (Show Source): You can put this solution on YOUR website!y"is less than or equal to sign"-x + 2 --- Graph y = -x+2 which is the boundary of the inequality. Shade the half-plane BELOW the boundary because you wnat y to be LESS than -x+2. --------------------------------- =================== Cheers, Stan H. ===================
 Functions/457917: find the domain and range of the function y=3(1/5)^x1 solutions Answer 314087 by stanbon(57952)   on 2011-06-05 22:20:31 (Show Source): You can put this solution on YOUR website!find the domain and range of the function y=3(1/5)^x --- Thoughts: (1/5)^x can get close to zero but can never be negative. So domain is all Real Numbers and range is all Real numbers greater than zero. =================================================== Cheers, Stan H.
 Probability-and-statistics/457880: Can you please help me solve this problem. Thank you! Approximately 73% of all marketing personnel are extroverts, whereas about 69% of all computer programmers are introverts. (a) At a meeting of 15 marketing personnel, what is the probability that 10 or more are extroverts? (Use 3 decimal places.) What is the probability that 5 or more are extroverts? (Use 3 decimal places.) What is the probability that all extroverts? (Use 3 decimal places.) (b) In a group of 5 computer programmers, what is the probability that none are introverts? (Use 3 decimal places.) What is the probability that 3 or more are introverts? (Use 3 decimal places.) What is the probability that all are introverts? (Use 3 decimal places.)1 solutions Answer 314079 by stanbon(57952)   on 2011-06-05 21:00:57 (Show Source): You can put this solution on YOUR website!Approximately 73% of all marketing personnel are extroverts, about 69% of all computer programmers are introverts. ------------------------ (a) At a meeting of 15 marketing personnel, what is the probability that 10 or more are extroverts? (Use 3 decimal places.) Ans: 1- binomcdf(15,0.73,9) = 0.804 ======================================== What is the probability that 5 or more are extroverts? (Use 3 decimal places.) Ans: 1- binomcdf(15,0.73,4) = 0.999 ----------------------------------------- What is the probability that all extroverts? (Use 3 decimal places.) Ans: (0.73)^15 = 0.009 --------------------------- (b) In a group of 5 computer programmers, what is the probability that none are introverts? (Use 3 decimal places.) Ans: 0.31^3 = 0.030 --------------------------- What is the probability that 3 or more are introverts? (Use 3 decimal places.) Ans: 1- binomcdf(5,0.69,2) = 0.823 -------------------------------- What is the probability that all are introverts? (Use 3 decimal places.) Ans: 0.69^5 = 0.156 ============================= Cheers, Stan H.
 Probability-and-statistics/457886: Please help answer this probability question. Find the variance for the given data. Round your answer to one more decimal place than the original data. {-2, -2, 11, -7, 3} A) 46.2 B) 46.4 C) 37.0 D) 46.3 1 solutions Answer 314077 by stanbon(57952)   on 2011-06-05 20:49:35 (Show Source): You can put this solution on YOUR website!Find the variance for the given data. Round your answer to one more decimal place than the original data. {-2, -2, 11, -7, 3} 1st: Find the mean of the data. 2nd: Subtract the mean from each of the data values. 3rd: Square each of those differences 4th: Divide by n-1 = 5 --- That is the variance: variance = 46.2 ================== Cheers, Stan H. ================== A) 46.2 B) 46.4 C) 37.0 D) 46.3
 Probability-and-statistics/457888: Please help. Find the median for the given sample data. {18, 5, 8, 9, 15, 18, 8, 18} 4) 1 solutions Answer 314076 by stanbon(57952)   on 2011-06-05 20:44:45 (Show Source): You can put this solution on YOUR website!Find the median for the given sample data. {18, 5, 8, 9, 15, 18, 8, 18} ---- Put the data in order: {5,8,8,9,15,18,18,18} Since there are an even number average the middle 2 data values: (9+15)/2 = 12 That is the median. Cheers, atan H.
 Probability-and-statistics/457855: Please help with this probability question. Needing detail solution steps. Find the probability. The table below describes the smoking habits of a group of asthma sufferers. non smoker light smoker heavy smoker total men 350 88 82 520 women 334 70 84 488 total 684 158 166 1008 A person is randomly selected. If the person selected is a light smoker, what is the probability that it is a woman? A) 0.069 B) 0.143 C) 0.443 D) 0.257 1 solutions Answer 314059 by stanbon(57952)   on 2011-06-05 19:07:36 (Show Source): You can put this solution on YOUR website!The table below describes the smoking habits of a group of asthma sufferers. non smoker light smoker heavy smoker total men 350..... 88...... 82...... 520 women 334..... 70...... 84...... 488 total 684..... 158..... 166..... 1008 A person is randomly selected. If the person selected is a light smoker, what is the probability that it is a woman? ---- This is a conditional probability problem. P(woman | light smoker) = [P(woman AND light smoker)]/P(light smoker)] --- = 70/1008 / 158/1008 = 70/158 = 0.4430 ------------------- Notice: You get the answer faster by simply dividing the number of light-smoker women by the # of light smokers =================== Cheers, Stan H. A) 0.069 B) 0.143 C) 0.443 D) 0.257
 Polynomials-and-rational-expressions/457847: How do I reduced this? (x-2)/(x^2-6x+8) Ive seen countles of exercises and videos explaining how to solve it but then I ask myself what happened to 6x and 8? Dont know why the answer is 1/x-4. 1 solutions Answer 314057 by stanbon(57952)   on 2011-06-05 18:56:22 (Show Source): You can put this solution on YOUR website!reduce this? (x-2)/(x^2-6x+8) ---- If you simplify 6/24 you have to know that 6 is a factor of 24 so you can write the problem as follows: ------ 6/24 = 6/(6*4) --- you can write that as 6/24 = (6/6)*(1/4) ---- You have to know that 6/6 = 1 So you have 6/24 = 1*(1/4) = 1/4 That is called the "simplified form of 6/24 ====================== Your Problem: Simplify (x-2)/(x^2-6x+8) ---- You have to know the factors of x^2-6x+8 = (x-4)(x-2) --- Then (x-2)/(x^2-6x+8) can be written as [(x-2)/(x-2)]*(1/(x-4)) --- But (x-2)/(x-2) is 1 -- So the simplified form of your problem is 1/(x-4) ==================================================== Cheers, Stan H. ===============
 Quadratic-relations-and-conic-sections/457840: Write each conic sectioning standard form. Identify the conic section. 1. 25x^2+9y-225=0 2. x^2-9y^2-36=01 solutions Answer 314054 by stanbon(57952)   on 2011-06-05 18:40:06 (Show Source): You can put this solution on YOUR website!Write each conic sectioning standard form. Identify the conic section. 1. 25x^2+9y-225=0 ----- 25x^2 = -9y + 225 x^2 = (-9/25)y + 9 (x-0)^2 = (-9/25)(y - 25) ------------------------- Parabola ========================================== 2. x^2-9y^2-36=0 [(x-0)^2/36] - [(y-0)^2/4] = 1 ----- Hyperbola ================== Cheers, Stan H. ==================
 Equations/457839: When is the answer ?1 solutions Answer 314047 by stanbon(57952)   on 2011-06-05 18:20:23 (Show Source): You can put this solution on YOUR website!Answer to what question?
 Square-cubic-other-roots/457834: When what is the discriminant?1 solutions Answer 314045 by stanbon(57952)   on 2011-06-05 18:18:41 (Show Source): You can put this solution on YOUR website!When what is the discriminant? ----------------------- a = 4; b = -3; c = 5 ---- b^2-4ac = 9 - 4*4*5 = 9-80 = -71 ========================================= Cheers, Stan H.
 Polygons/457814: Is it possible to have a regular polygon with at least one 100 Degree angle.1 solutions Answer 314041 by stanbon(57952)   on 2011-06-05 18:05:11 (Show Source): You can put this solution on YOUR website!Is it possible to have a regular polygon with at least one 100 Degree angle. --- If the polygon is regular all of the angles are equal. --- If at least one angle is >= 100 the corresponding exterior angles are <= 80. --- Let the exterior angle be "x" where 0< x <80 --- Fact: The sum of the exterior angles is 360. --- # of sides = 360/x >= 4.5 --- For example: if there are 5 sides the exterior angles are 360/5 = 72 degrees and the interior angles are each 180-72 = 108 degrees. ---- All regular polygons with 5 or more sides have interior angles greater than 100 degrees. ======================================= Cheers, Stan H.
 Linear_Equations_And_Systems_Word_Problems/457705: In a right triangle, find the length of the side not given. Approximate to three decimals, if necessary. Keep in mind that a and b are the lengths of the legs and c is the length of the hypotenuse. b=4√2, c=91 solutions Answer 314001 by stanbon(57952)   on 2011-06-05 14:33:15 (Show Source): You can put this solution on YOUR website!In a right triangle, find the length of the side not given. Approximate to three decimals, if necessary. Keep in mind that a and b are the lengths of the legs and c is the length of the hypotenuse. b=4√2, c=9 ----------------------------- a = sqrt[(9^2 - 4sqrt(2))^2 ] --- a = sqrt[81 - 32] ---- a = sqrt(49)] a = 7 ================= Cheers, Stan H.
 test/457706: Find the area under the standard normal curve, which lies (a)to the left of z=0.94 (b) to the right of z=-0.65 (c) to the right of z=1.76 (d) between z=-0.34 and z=0.621 solutions Answer 313998 by stanbon(57952)   on 2011-06-05 14:27:46 (Show Source): You can put this solution on YOUR website!Find the area under the standard normal curve, which lies (a)to the left of z=0.94:::::0.8264 (b) to the right of z=-0.65:::::0.5259 (c) to the right of z=1.76::::::::::::0.0392 (d) between z=-0.34 and z=0.62:::::0.3654 ================== Cheers, Stan H. ===========
 Quadratic_Equations/457703: A telephone company in a town has 1000 subscribers on its list and collects a fixed charge of Rs.400 per subscriber per year. The company proposes to increase the annual subscription and it is believed that for every increase of Re. 1, one subscriber will continue the service. Find what increase will bring maximum revenue to the company.1 solutions Answer 313997 by stanbon(57952)   on 2011-06-05 14:23:11 (Show Source): You can put this solution on YOUR website!A telephone company in a town has 1000 subscribers on its list and collects a fixed charge of Rs.400 per subscriber per year. ----- The company proposes to increase the annual subscription and it is believed that for every increase of Re. 1, one subscriber will continue the service. ---- Find what increase will bring maximum revenue to the company. ------------- Normally you get fewer subscibers when you increase subscription cost. Note: I don't know how Re relates to Rs. ------------- Equation based on your statement: Let # of additional subscribers be "x". 1000+x = (400Rs+xRe) ------------------- If Re is the same as Rs the equation is a contradiction. ------------------- Please take another look at your problem. Please explain currency equivalents if you are going to refer to several different currencies. ====================== Cheers, Stan H. ===========
 Trigonometry-basics/457589: Find the exact value of sin 360 degrees using the functions of 180 degrees1 solutions Answer 313963 by stanbon(57952)   on 2011-06-05 09:49:22 (Show Source): You can put this solution on YOUR website!Find the exact value of sin 360 degrees using the functions of 180 degrees --- sin(360) = sin(2*180) = 2sin(180)*cos(180) = 2*0*(-1) = 0 ========= Cheers, Stan H. =========
 Trigonometry-basics/457590: Solve the equation 4sin^2 θ - 2 = 0 on the interval 0<θ<2pi.1 solutions Answer 313962 by stanbon(57952)   on 2011-06-05 09:47:01 (Show Source): You can put this solution on YOUR website!Solve the equation 4sin^2 x - 2 = 0 on the interval 0< x <2pi. -------------- 4sin^2(x) - 2 = 0 sin^2(x) = 1/2 sin(x) = +/-sqrt(2)/2 ------ In the interval 0 < x < 2pi, x = pi/4 or x = (3/4)pi or x = (5/4)pi or (7/4)pi ========================= Cheers, Stan H. ===========
 Angles/457595: how do you find the measure of angle b? if only 74degrees is given?1 solutions Answer 313961 by stanbon(57952)   on 2011-06-05 09:44:35 (Show Source): You can put this solution on YOUR website!how do you find the measure of angle b? if only 74degrees is given? --------------- You will have to give more information. Do you have a right triangle. If so, 74 must be one of the acute angles. The other acute angle would have to be 90-74 = 16 degrees. Cheers, Stan H.
 Trigonometry-basics/457591: Find the exact value of the expression tan[cos^-1 (1/2)]: 1 solutions Answer 313959 by stanbon(57952)   on 2011-06-05 09:40:41 (Show Source): You can put this solution on YOUR website!Find the exact value of the expression tan[cos^-1 (1/2)]: ---- cos^-1(1/2) = 60 degrees or pi/3 --- So tan[cos^-1 (1/2)] = tan[60 degrees] = sqrt(3) ================================================= Cheers, Stan H.
 Functions/457593: Find the domain of the function: g(x)= 7 over 6-7x1 solutions Answer 313958 by stanbon(57952)   on 2011-06-05 09:34:25 (Show Source): You can put this solution on YOUR website!Find the domain of the function: g(x)= 7 over 6-7x --- g(x) = 7/(6-7x) ---- 6-7x cannot be zero --- Solve 6-7x = 0 7x = 6 x = 6/7 -------- Domain: All Real numbers except x = 6/7 =========================================== Cheers, Stan H. ==========
 Trigonometry-basics/457592: Solve 100sin2 x – 50 = 0 graphically over the interval [0, 6.2832]. 1 solutions Answer 313957 by stanbon(57952)   on 2011-06-05 09:32:02 (Show Source): You can put this solution on YOUR website!Solve 100sin2 x – 50 = 0 graphically over the interval [0, 6.2832]. -------------------------- sin^2(x) = 1/2 sin(x) = sqrt(2)/2 x = sin^-1(sqrt(2)/2)) = pi/4 and (3/4)pi -------------------------- ================= Cheers, Stan H.
 Probability-and-statistics/457588: a rectangle is (x+3)cm long and y cm wide.the perimeter of the rectangle is 20cm a)show that y=7-x b)the area is 19cm^2. Show that x^2-4x-2=01 solutions Answer 313956 by stanbon(57952)   on 2011-06-05 09:19:15 (Show Source): You can put this solution on YOUR website!a rectangle is (x+3)cm long and y cm wide. the perimeter of the rectangle is 20cm a)show that y=7-x ---- Perimeter = 2(length + width) 20 = 2(x+3 +y) 10 = x + 3 + y y = 7-x -------------------------- b)the area is 19cm^2. Show that x^2-4x-2=0 Area = length*width 19 = (x+2)y 19 = (x+2)(7-x) 19 = -(x+2)(x-7) 19 = -[x^2-5x-14] x^2 -5x-14+19 = 0 x^2 -5x +5 = 0 =================== Cheers, Stan H.
 Probability-and-statistics/457584: The mean SAT score in mathematics is 535 . The founders of a nationwide SAT preparation course claim that graduates of the course score higher, on average, than the national mean. Suppose that the founders of the course want to carry out a hypothesis test to see if their claim has merit. State the null hypothesis Ho and the alternative hypothesis H1 that they would use. a) Ho = b) H1 = 1 solutions Answer 313955 by stanbon(57952)   on 2011-06-05 09:13:43 (Show Source): You can put this solution on YOUR website!The mean SAT score in mathematics is 535 . The founders of a nationwide SAT preparation course claim that graduates of the course score higher, on average, than the national mean. Suppose that the founders of the course want to carry out a hypothesis test to see if their claim has merit. State the null hypothesis Ho and the alternative hypothesis H1 that they would use. ---- Note: Equality must ALWAYS be part of the Ho statement a) Ho = u <= 535 b) H1 = u > 535 (claim) ----------- Cheers, Stan H.
 Probability-and-statistics/457582: A recent study at a local college claimed that the proportion, p , of students who commute more than fifteen miles to school is no more than 25% . If a random sample of 255 students at this college is selected, and it is found that 67 commute more than fifteen miles to school, can we reject the college's claim at the 0.05 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. g) The null hypothesis: h) The alternative hypothesis: i) The type of test statistic (Z, t, chi square, or f): j) The Value of the test statistic (round to at least 3 decimal places): k) The p-value (round to at least 3 decimal places): 1 solutions Answer 313954 by stanbon(57952)   on 2011-06-05 09:09:59 (Show Source): You can put this solution on YOUR website!A recent study at a local college claimed that the proportion, p , of students who commute more than fifteen miles to school is no more than 25% . If a random sample of 255 students at this college is selected, and it is found that 67 commute more than fifteen miles to school, can we reject the college's claim at the 0.05 level of significance? ---------------- Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. g) The null hypothesis: Ho: p <= 0.25 (claim) h) The alternative hypothesis: Ha: p > 0.25 --------------------- i) The type of test statistic (Z, t, chi square, or f): Ans: z ------------- j) The Value of the test statistic (round to at least 3 decimal places): z(67/225) = (0.2978 - 0.25)/sqrt[0.25*0.75] = 0.1103 ---------------------- k) The p-value (round to at least 3 decimal places): p-value = P(z > 0.1103) = 0.4561 Conclusion: Since the p-value is greater than 5%, fail to reject Ho. The test results support the claim. ==================================== Cheers, Stan H. ============
 Circles/457581: i would like to buy edging for a 10 foot circular garden area - what length should i purchase?1 solutions Answer 313950 by stanbon(57952)   on 2011-06-05 08:47:32 (Show Source): You can put this solution on YOUR website!Circumference of a circle is approximately 10*(22/7) ~ 32 ft --- The more exact answer is 10*pi = 31.416 ft ========== Cheers, Stan H.
 Rectangles/457513: The perimeter of a rectangle is 122 inches. The length exceeds the withd by 25 inches. find the length and width. Ok. I think I start out by 2l + 2w = 122 w+25=1 This is confusing, can someone help?1 solutions Answer 313913 by stanbon(57952)   on 2011-06-04 22:23:29 (Show Source): You can put this solution on YOUR website!The perimeter of a rectangle is 122 inches. The length exceeds the withd by 25 inches. find the length and width. Ok. I think I start out by 2l + 2w = 122 w+25=1 ----------------------- Let the width be "x" Then length = "x+25" ---- Perimeter = 2(width + length) 122 = 2(x + x+25) 61 = 2x+25 2x = 36 x = 18 inches (width) x+25 = 43 inches (length) ============================= Cheers, Stan H.
 Age_Word_Problems/457512: Brendan's age is represented by x-4. His sister meg is 3 times as old as brendan. Which expression best represents meg's age ?1 solutions Answer 313912 by stanbon(57952)   on 2011-06-04 22:20:16 (Show Source): You can put this solution on YOUR website!Brendan's age is represented by x-4. His sister meg is 3 times as old as brendan. Which expression best represents meg's age ? ------------------------------ Meg = 3(x-4) = 3x-12 ========================== Cheers, Stan H.