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Recent problems solved by 'stanbon'

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

Graphs/341897: I can't figure out the answer to this question - without solving or factoring, I must determine the solution to the equation? 7 – 6x – x2 = 0 1 solutions Answer 244777 by stanbon(57307)   on 2010-09-12 08:48:34 (Show Source): You can put this solution on YOUR website! I can't figure out the answer to this question - without solving or factoring, I must determine the solution to the equation? 7 – 6x – x^2 = 0 ----- You could graph 7-6x-x^2 and see where it intersects the x-axis. ----- Or you could use the quadratic formula to solve for "x": x = [-b+-sqrt(b^2-4ac)]/(2a) ================================ Cheers, Stan H.

Equations/341875: can someone please help with this, I am not sure how to set the problem up, or work it. I think the answer is 8 days.. I just don't know how to work the problem.. an ant farm can hold 100,000 ants. If the farmheld 1500 ants on the first day, 3000 ants on the second day, 6000 ants on the third day, ad so on forming a geometric sequence, in how many days will the farm be full 1 solutions Answer 244776 by stanbon(57307)   on 2010-09-12 08:44:07 (Show Source): You can put this solution on YOUR website! an ant farm can hold 100,000 ants. If the farmheld 1500 ants on the first day, 3000 ants on the second day, 6000 ants on the third day, ad so on forming a geometric sequence, in how many days will the farm be full --- The sequence: 1500,3000,6000,etc a(1)= 1500 r = 3000/1500 = 2 ---- Sum of n terms = a(1)[(r^n -1)/(r-1)] --- You want the sum to be >= 100,000 1500[(2^n -1)/(2-1)] >= 100,000 --- 2^n-1 >= 100,000/1500 2^n >= 66 2/3 + 1 2^n>= 67.67 Solve the equality: 2^n = 67.67 n(log(2)) = log(67.67) n = [log(67.67]/[log(2)] n = 6.0589 ---- It will take a little more than 6 days to reach 100,000 ants. It will happen in the 7th day. =============== Cheers, Stan H.

Exponents-negative-and-fractional/341826: This problem involves factoring terms that include positive and negative exponents. For some reason I just can't see it: (3x+2)(2/3)(6x-5)^(-1/3)(6)+(6x-5)^(2/3)(3) I keep coming up with: I factored out (6x-5)^(-1/3)(2/3)(3)[(3x+2)+2(6x-5)^(3/3) <- (or 1) So that simplifies to: (6x-5)^(-1/3)(2)(3x+2)+12x-10 Further simplified to: (6x-5)^(-1/3)[6x+4+12x-10] The (6x-5)^(-1/3) moves to the denominator and 18x-6 remains in the numerator. I don't know where I am going wrong with this. I know the denominator is right, but the answer shown for the numerator is 30x-7 and I just can't figure out how to get to that. 1 solutions Answer 244741 by stanbon(57307)   on 2010-09-11 22:58:13 (Show Source): You can put this solution on YOUR website! (3x+2)(2/3)(6x-5)^(-1/3)(6)+(6x-5)^(2/3)(3) --- [4(3x+2)*(6x-5)^(-1/3)] + [3(6x-5)^(2/3)] --- Common Factor: (6x-5)^(-1/3) --- = CF[12x+8 + 3(6x-5)] --- = CF[12x+8+18x-15] --- = CF[30x-7] --- = [30x-7]/(6x-5)^(1/3) =========================== Cheers, Stan H. I know the denominator is right, but the answer shown for the numerator is 30x-7 and I just can't figure out how to get to that.

real-numbers/341827: Hello. I would like to get some help with a few issues I'm having if you don't mind. Been out of school for a long, long while and I need your help with: Rewriting in simplified radical form sqrt()54x^4 (my answer was 3x- sqrt()6) Simplifying u sqrt()50x^5 +6x^2 sqrt()8xu^2 (my answer was 10x + 4xu) Simplifying sqrt() 2y^2v^3 sqrt() 10yv^4 Simplifying 10r^2s/7pq^2/5r^3s^2/21q^3 and Add but put in lowest terms -4v+8x over 4v + 5v-4x over 4v I greatly appreciate any help or insight you could give on these issues I'm having and I'm thanking you in advance for your assistance. :) 1 solutions Answer 244740 by stanbon(57307)   on 2010-09-11 22:38:52 (Show Source): You can put this solution on YOUR website! Rewriting in simplified radical form sqrt()54x^4 (my answer was 3x- sqrt()6) === sqrt(54x^4) = sqrt(9x^4)*sqrt(6) = 3x^2*sqrt(6) ---------------------------------------------------------------- Simplifying u sqrt()50x^5 +6x^2 sqrt()8xu^2 (my answer was 10x + 4xu) --- u*sqrt(50x^5)+6x^2*sqrt(8xu^2) = 5ux^2*sqrt(2x)+6x^2*2u*sqrt(2x) --- = (5ux^2+12ux^2)*sqrt(2x) = (17ux^2)*sqrt(2x) --------------------------------------- Simplifying sqrt() 2y^2v^3 sqrt() 10yv^4 --- sqrt(2y^2v^3)*sqrt(10yv^4) --- yv*sqrt(2v)*v^2*sqrt(10y) = 2yv^3sqrt(20vy) = 2yv^3*2*sqrt(5vy) = 4yv^3*sqrt(5vy) --------------------------------------- Simplifying 10r^2s/7pq^2/5r^3s^2/21q^3 Invert the denominator and multiply: [10r^2s/7pq^2] --- Cancel any factor common to a numerator and a denominator: = [2/p] = [6q]/[prs] ================ Add but put in lowest terms -4v+8x over 4v + 5v-4x over 4v --- = [-4v+8x+5v-4x]/(4v) --- = [4x+v]/[4v] ================= Cheers, Stan H. =======================

Linear_Equations_And_Systems_Word_Problems/341771: what is the cost in cents of one baseball if baseballs are priced at d dollars per dozen ? i tried 12D/ 100 becasue 100 pennies are in a dollar . but it just said cents so i was guessing pennie 1 solutions Answer 244706 by stanbon(57307)   on 2010-09-11 18:54:26 (Show Source): You can put this solution on YOUR website! duplicate

Quadratic_Equations/341774: Sorry you are right I did not type it in correctly. I do need to solve it in quadratic form X^2/5-x^1/5-2=0 Sorry! 1 solutions Answer 244704 by stanbon(57307)   on 2010-09-11 18:50:38 (Show Source): You can put this solution on YOUR website! Sorry you are right I did not type it in correctly. I do need to solve it in quadratic form X^2/5-x^1/5-2=0 ---------------- Factor: (x^(1/5)-2)(x^(1/5)+1) = 0 --- x^(1/5) = 2 or x^(1/5) = -1 x = 32 or x = -1 ------------------------ Cheers, Stan H. ==========

real-numbers/341776: find the first the terms of each arithmetic series. first number= 14 last number= -85 sum of first n numbers= 900 1 solutions Answer 244702 by stanbon(57307)   on 2010-09-11 18:47:15 (Show Source): You can put this solution on YOUR website! find the first the terms of each arithmetic series. first number= 14 last number= -85 sum of first n numbers= -900 -------------- S(n) = (n/2)(1st + last) --- -900 = (n/2)(14 + (-85)) -1800 = n(-71) n = -1800/-71 ================== n has to be a whole number, and this is not. ================================================= Cheers, Stan H.

real-numbers/341777: Find the number of real number solutions of 4x^2+16x+15=0 1 solutions Answer 244698 by stanbon(57307)   on 2010-09-11 18:41:43 (Show Source): You can put this solution on YOUR website! Find the number of real number solutions of 4x^2+16x+15=0 Factor 4x^2+10x+6x+15 = 0 2x(2x+5) + 3(2x+5) = 0 --- (2x+5)(2x+3) = 0 x = -5/2 or x = -3/2 ======================= Cheers, Stan H. ===========

Problems-with-consecutive-odd-even-integers/341767: the greater of two consecutive even integers is 10 more than halfthe greater. Find the integers 1 solutions Answer 244693 by stanbon(57307)   on 2010-09-11 18:24:09 (Show Source): You can put this solution on YOUR website! the greater of two consecutive even integers is 10 more than halfthe greater. Find the integers. --- 1st: 2x 2nd: 2x+2 ----------- Equation: 2x+2 = (1/2)(2x+2)+10 2x+2 = x+1+10 2x+2 = x+11 x = 9 --- 1st: 2x = 18 2nd: 2x+2 = 20 ===================== Cheers, Stan H.

Evaluation_Word_Problems/341750: Could you please help me on sloving this word problem? A cannery processed 545 pounds of strawberries in 2.5 hours. The cannery processed 3695 pounds in 11.5 hours. How would you write that in a linear equation? And how can you find out how many strawberries were processed in 9 hourS? 1 solutions Answer 244683 by stanbon(57307)   on 2010-09-11 18:08:14 (Show Source): You can put this solution on YOUR website! A cannery processed 545 pounds of strawberries in 2.5 hours. The cannery processed 3695 pounds in 11.5 hours. How would you write that in a linear equation? --- You have two points relating time and strawberries; (2.5, 545) and (11,5, 3695) --- slope = (3695-545)/(11.5-2.5) = 350 --- y = mx + b 545 = 350*2.5 + b b = -330 -------------------- Equation: f(x) = 350x - 330 And how can you find out how many strawberries were processed in 9 hourS? f(9) = 350*9-330 f(9) = 2820 strawberries in 9 hrs. ====================================== Cheers, Stan H.

Inequalities/341756: Good evening. I am taking a college level business calculus class. We are currently reviewing algebra. I am stuck on one problem. It is: A-5 ---- < -1 A+2 I know to take the -1 times A + 2 to get A - 5 < A + 2 and I know to take the +2 and subtract it from A - 5 to get A - 5 - 2, but what happens to the A on the right side. Is it not supposed to be a 0? I am really confused and lost and, therefore, unable to continue because the rest of this section contains similar problems. Please help me figure this problem out. 1 solutions Answer 244679 by stanbon(57307)   on 2010-09-11 17:51:30 (Show Source): You can put this solution on YOUR website! A-5 ---- < -1 A+2 --------------------- The boundary of the inequality is (A-5)/(A+2) = -1 ------------------- Since the denominator cannot be zero, A cannot be -2. --- The numerator cannot be zero so A cannot be 5 ------------------------------- To solve the inequality: 1: Draw a number line 2: Plot the values A = -2 and A = 5 3: Check a test value from each of the resulting 3 intervals to see where the solutions are for the inequality. ---- A-5 ---- < -1 A+2 Check A = -10; (-10-5)/(-10+2) < -1, false so no solutions in (-inf,-2) Check A = 0; (0-5)/(0+2)< -1, true so solutions in (-2,5) Check A = 10; (10-5)/(10+2) < -1, false so no solutions in (5,+inf) ==== Final solution: -2< A < 5 ============ Graph: ============ Cheers, Stan H.

Linear-equations/341754: how do i graph the line y+1/4 x-4 1 solutions Answer 244676 by stanbon(57307)   on 2010-09-11 17:38:13 (Show Source): You can put this solution on YOUR website! how do i graph the line y=(1/4)x-4 --- Plot a couple of points and draw a line thru them. --- If x = 0, y = -4 giving you point (0,-4) --- If x = 4, y = 1-4 = -3 giving you point (4,-3) ------ Graph: --- Cheers, Stan H. ========

Functions/341753: I need help with this problem: Find the domain x+13/x^2-1 1 solutions Answer 244670 by stanbon(57307)   on 2010-09-11 17:33:00 (Show Source): You can put this solution on YOUR website! I need help with this problem: Find the domain x+13/x^2-1 ---- the denominaator cannot be zero. --- Solve x^2-1 = 0 Factor: (x+1)(x-1) = 0 x = -1 or x = 1 --------------------- Domain: All Real Numbers except x = 1 and x = -1 ================================== Cheers, Stan H.

Circles/341751: The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 42 inches, how long is each spoke? Round your answer to the nearest hundredth. A. 7 inches B. 6.25 inches C. 13.38 inches D. 6.69 inches 1 solutions Answer 244669 by stanbon(57307)   on 2010-09-11 17:29:32 (Show Source): You can put this solution on YOUR website! The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 42 inches, how long is each spoke? Round your answer to the nearest hundredth. ---- Circumference = (pi)*diameter diameter = 42/pi = 13.37 inches 2*radius = 13.37 radius = 6.68 inches ========================== cheers, Stan H. A. 7 inches B. 6.25 inches C. 13.38 inches D. 6.69 inches

Equations/341752: I am checking my answer to the following (the answer is not in the book): A solution is 30% chlorine and another solution is 70% chlorine. How many liters of each solution should you use to make 150 liters of a solution that is 55% chlorine? I wrote the equation like this: .3x + .7(150-x)= .55(150) I broke this down to x=56.25 56.25 Liters of 30% solution and 93.75 liters of 70% solution 1 solutions Answer 244666 by stanbon(57307)   on 2010-09-11 17:22:29 (Show Source): You can put this solution on YOUR website! A solution is 30% chlorine and another solution is 70% chlorine. How many liters of each solution should you use to make 150 liters of a solution that is 55% chlorine? I wrote the equation like this: .3x + .7(150-x)= .55(150) I broke this down to x=56.25 56.25 Liters of 30% solution and 93.75 liters of 70% solution --------------- That is correct. Cheers, Stan H.

Probability-and-statistics/341633: Heartless poker is played with a deck of cards in which all the hearts have been removed. Note that the deck now has 39 cards. Find the probability of getting a flush (five cards of the same suit) when drawing a five-card hand. 1 solutions Answer 244665 by stanbon(57307)   on 2010-09-11 17:18:15 (Show Source): You can put this solution on YOUR website! Heartless poker is played with a deck of cards in which all the hearts have been removed. Note that the deck now has 39 cards. Find the probability of getting a flush (five cards of the same suit) when drawing a five-card hand. ----- Pick a suit: 3 ways Pick 5 cards of that suit: 13C5 = 1287 ----- Pick 5 cards randomly = 575757 =============== P(flush) = (3*1287)/575757 = 0.0067 ============== Cheers, Stan H. ==============

Numbers_Word_Problems/341727: Suppose that you are taking a course that has 4 tests. The first three tests are for 100 points each and the fourth test is for 200 points. To get an B in the course, you must have an average of at least 80 percent on the 4 tests. Your scores on the first 3 tests were 77, 80, and 80. What is the minimum score you need on the fourth test to get an B for the course? 1 solutions Answer 244659 by stanbon(57307)   on 2010-09-11 16:13:28 (Show Source): You can put this solution on YOUR website! Suppose that you are taking a course that has 4 tests. The first three tests are for 100 points each and the fourth test is for 200 points. To get an B in the course, you must have an average of at least 80 percent on the 4 tests. Your scores on the first 3 tests were 77, 80, and 80. What is the minimum score you need on the fourth test to get an B for the course? ----- 500 points are offered in the 4 tests 0.8*500 = 400 Equation: 77+80+80+2x >=400 237+2x >= 400 2x >= 163 x >= 81.5 (score needed on the 4th test) =========================================== Cheers, Stan H.

Polynomials-and-rational-expressions/341724: Please help me solve this problem: The dementions of a rectangle are such that its length is 5in. more than its width. If the length were doubled and if the width were decreased by 2in., the area would be increased by 52in. What are the length and width? 1 solutions Answer 244656 by stanbon(57307)   on 2010-09-11 15:54:09 (Show Source): You can put this solution on YOUR website! Please help me solve this problem: The dimensions of a rectangle are such that its length is 5in. more than its width. width = w length = w+5 --- Old Area = w(w+5) = w^2+5w sq. in. ------------------------------------ If the length were doubled and if the width were decreased by 2in., the area would be increased by 52in. length = 2(w+5) = 2w+10 width = w-2 --- New Area = (2w+10)(w-2) = 2w^2 +6w -20 sq. in ------------------------- Equation: new area - old area = 52 sq in 2w^2+6w-20-(w^2+5w) = 52 --- w^2+w-20 = 0 Factor: (w+5)(w-4) = 0 Positive solution width = 4 inches length = w+5 = 9 inches ================================== Cheers, Stan H.

Linear_Algebra/341719: Bridges on expressways often have expansion joints, which are small gaps in the roadway between one bridge section and the next. The gaps are put there so that the bridge can expand in hot weather. Suppose that a bridge has a gap of 1.3 cm at 22 degrees, and .9 cm at 30 degrees. Write an equation for gap width as a function of temperature. 1 solutions Answer 244654 by stanbon(57307)   on 2010-09-11 15:40:26 (Show Source): You can put this solution on YOUR website! Suppose that a bridge has a gap of 1.3 cm at 22 degrees, and .9 cm at 30 degrees. Write an equation for gap width as a function of temperature. --------------------------- You have two points relating gap to timperature. (22,1.3) and (30,0.9) ---- slope = (0.9-1.3)/(30-22) = -0.05 -------------- Form: g = m*t + b 0.9 = -0.05*30 + b b = 2.4 --------------------------- Equation: gap = -0.05(temp)+2.4 =========================== Cheers, Stan H.

Numbers_Word_Problems/341709: One positive number is 5, times another number. The difference between the two numbers is 408, find the numbers 1 solutions Answer 244652 by stanbon(57307)   on 2010-09-11 15:30:08 (Show Source): You can put this solution on YOUR website! One positive number is 5 times another number. The difference between the two numbers is 408, find the numbers ------------- Equations: x = 5y x - y = 408 ------------ Substitute for "x" and solve for "y": 5y-y = 408 4y = 408 y = 102 --- Since x = 5y, x = 510 ============================ Cheers, Stan H.

Probability-and-statistics/341674: A complete cycle of a traffic light takes 80 seconds. During each cycle, the light is green for 40 seconds, amber for 10 seconds, and red for 30 seconds. At a randomly chosen time, what is the probability that the light will not be red? 1 solutions Answer 244649 by stanbon(57307)   on 2010-09-11 15:24:46 (Show Source): You can put this solution on YOUR website! A complete cycle of a traffic light takes 80 seconds. During each cycle, the light is green for 40 seconds, amber for 10 seconds, and red for 30 seconds. At a randomly chosen time, what is the probability that the light will not be red? ------ P(red) = 30/80 = 3/8 =========================== Cheers, Stan H.

Word_Problems_With_Coins/341605: The value (in cents) of the change in a purse that contains twice as many nickels as pennies, six more dimes than nickels, and as many quarters as dimes and nickels combined; p = number of pennies 1 solutions Answer 244620 by stanbon(57307)   on 2010-09-11 08:35:41 (Show Source): You can put this solution on YOUR website! The value (in cents) of the change in a purse that contains twice as many nickels as pennies, six more dimes than nickels, and as many quarters as dimes and nickels combined; p = number of pennies -------------- Equations: n = 2p d = n+6 q = d + n ------- Rearrange: 2p - n + 0 + 0 = 0 0 + n - d + 0 = -6 0 + n + d - q = 0 ----- You have 4 variables, so you need one more equation. ============== Cheers, Stan H.

Coordinate-system/341618: The following are coordinates of points in the xy-plane. Which of these points is nearest the origin? a (0,-1) b (0,1/2 ) c (1/2, -1/2) d (1/2,1/2) e (-1,-1) 1 solutions Answer 244618 by stanbon(57307)   on 2010-09-11 07:46:48 (Show Source): You can put this solution on YOUR website! The following are coordinates of points in the xy-plane. Which of these points is nearest the origin? -- The distance (x,y) is from (0,0) is d = sqrt(x^2+y^2) ------ a (0,-1)::::::::d = 1 b (0,1/2 )::::::d = sqrt(1/4) = 1/2 c (1/2, -1/2):::d = sqrt(1/4 + 1/4) = sqrt(1/2) = (1/2)sqrt(2)= 0.7071 d (1/2,1/2):::::d = sqrt(1/4 + 1/4) = sqrt(1/2) = (1/2)sqrt(2) e (-1,-1):::::::d = sqrt(1 + 1) = sqrt(2) ===================================== Cheers, Stan H.

Miscellaneous_Word_Problems/341602: A jeweler has 2 rings, each weighing 24 g, made of an alloy of 5% silver and 95% gold. She decides to melt down the rings and add enough silver to reduce the gold content to 80%. How much silver should she add? 1 solutions Answer 244617 by stanbon(57307)   on 2010-09-11 07:39:44 (Show Source): You can put this solution on YOUR website! A jeweler has 2 rings, each weighing 24 g, made of an alloy of 5% silver and 95% gold. She decides to melt down the rings and add enough silver to reduce the gold content to 80%. How much silver should she add? -------------------- Equation: silver + silver = silver 0.05*48 + 1.00s = 0.20(48+s) Multiply thru by 100 to get: 5*48 + 100s = 20*48+20s 80s = 15*48 s = 9 grams (amt. of pure silver she needs to add to the mix) ======================= Cheers, Stan H.

expressions/341619: The price of ground coffee beans is d dollars for 8 ounces and each ounce makes c cups of brewed coffee. In terms of c and d, what is the dollar cost of the ground coffee beans required to make 1 cup of brewed coffee? 1 solutions Answer 244616 by stanbon(57307)   on 2010-09-11 07:28:45 (Show Source): You can put this solution on YOUR website! The price of ground coffee beans is d dollars for 8 ounces and each ounce makes c cups of brewed coffee. In terms of c and d, what is the dollar cost of the ground coffee beans required to make 1 cup of brewed coffee? ----------------------- Each ounce of coffee beans costs d/8 dollars ---- Each ounce of coffee beans makes c cups. 1 cup requires 1/c ounces of coffee beans. -------------------- price of 1/c ounces of coffee beans = (1/c)(d/8) = d/(8c) dollars --------- cost of beans to make one cup = d/(8c) dollars =================================================== Cheers, Stan H.

Miscellaneous_Word_Problems/341621: A certain scale only registers weights that are greater than 6 pounds. A person who wanted to know the weights of a puppy, a kitten, and a bunny weighted them in pairs and go the following results. The kitten and the bunny weighted 7 pounds. The kitten and the puppy weighted 8 pounds. The bubby and the puppy weighed 9 pounds. What is the weight of the puppy? A. 2 pounds B. 3 pounds C. 4 pounds D. 5 pounds E. 6 pounds 1 solutions Answer 244615 by stanbon(57307)   on 2010-09-11 07:17:26 (Show Source): You can put this solution on YOUR website! The kitten and the bunny weighted 7 pounds. The kitten and the puppy weighted 8 pounds. The bubby and the puppy weighed 9 pounds. What is the weight of the puppy? -------------- Equations: k + b = 7 k + p = 8 b + p = 9 ----------------- Rearrange: K + b +0 = 7 k + 0 +p = 8 0 + b +p = 9 ---------------- Solve with any method you know to get: k = 3 b = 4 p = 5 =========== Cheers, Stan H. =========== A. 2 pounds B. 3 pounds C. 4 pounds D. 5 pounds E. 6 pounds

Numbers_Word_Problems/341555: Is 6.4 odd or even? 1 solutions Answer 244598 by stanbon(57307)   on 2010-09-10 21:20:09 (Show Source): You can put this solution on YOUR website! Is 6.4 odd or even? Ans: neither ================ Cheers, Stan H.

Linear-equations/341557: what is the slope if it exist of (1,0) (0,-3) 1 solutions Answer 244597 by stanbon(57307)   on 2010-09-10 21:18:54 (Show Source): You can put this solution on YOUR website! what is the slope if it exist of (1,0) (0,-3) ----- slope = (-3-0)/(0-1) = 3 ----------------------------- Cheers, Stan H. ==============

Quadratic_Equations/341559: f(x)=x^2-7x-8 What is the vertex, the line of symmetry, and the x and y intercept(s)? How do you find each one? Thanks! 1 solutions Answer 244596 by stanbon(57307)   on 2010-09-10 21:17:08 (Show Source): You can put this solution on YOUR website! f(x)=x^2-7x-8 What is the vertex, the line of symmetry, and the x and y intercept(s)? How do you find each one? ------------------------- Vertex occurs at x = -b/(2a) = 7/2 f(7/2) = -20.25 --- Vertex::: (3.5,-20.25) Line of symmetry: x = 3.5 -------- y-int = ? Let x = 0, then y = -8 y-int = -8 ----------------- f(x)=x^2-7x-8 x-int = ? Let y = 0 --- solve x^2-7x-8 = 0 (x-8)(x+1) = 0 x = 8 or x = -1 --- x-intercepts: x = 8 and x = -1 ====================== Cheers, Stan H. ===========

Exponential-and-logarithmic-functions/341563: Please solve this for me with the working. Function: I = 24e ^-0.3U Sketch a graph of this function on for domain 0≤U≤10 Please show how you worked this out. Thanks 1 solutions Answer 244588 by stanbon(57307)   on 2010-09-10 21:10:04 (Show Source): You can put this solution on YOUR website! Function: I = 24e ^-0.3U Sketch a graph of this function on for domain 0≤U≤10 ------------------------------ ------------------------- Cheers, Stan H.

Angles/341558: 1) Use the Pythagorean Theorem to find the distance between X(7,11) and Y(-1,5)..Could you please show me your solution because I can't really understand this lesson! 2)Find the coordinates of the midpoint of a segment X(-4,3) and Y(-1,5) 3)Find the coordinates of A if B(0,5.5) is the midpoint of segment AC and C has coordinates (-3,6) 4) Find the coordinates of the missing endpoint given that S is the midpoint of segment RT: T(-4,3), S(-1,5) Thank You very much=) 1 solutions Answer 244587 by stanbon(57307)   on 2010-09-10 20:50:56 (Show Source): You can put this solution on YOUR website! 1) Use the Pythagorean Theorem to find the distance between X(7,11) and Y(-1,5).. Could you please show me your solution because I can't really understand this lesson! --- d^2 = (change in x)^2 + (change in y)^2 d^2 = [(7--1)^2 + (11-5)^2] d^2 = [64+36] d^2 = 100 distance = 10 ---------------------------- 2)Find the coordinates of the midpoint of a segment X(-4,3) and Y(-1,5) x = (-4+-1)/2 = -5/2 y = (3+5)/2 = 4 midpoint::: (-5/2,4) ---------------------------- 3)Find the coordinates of A if B(0,5.5) is the midpoint of segment AC and C has coordinates (-3,6) Let the coordinate of A be (x,y) (x+-3)/2 = 0 x-3 = 0 x = 3 ------- (y+6)/2 = 5.5 y+6 = 11 y = 5 Coordinates of A:: (3,5) -------------------------------- 4) Find the coordinates of the missing endpoint given that S is the midpoint of segment RT: T(-4,3), S(-1,5) Let the coordinates of R are (x,y) (x+-4)/2 = -1 x-4 = -2 x = 2 ---- (y+3)/2 = 5 y+3 = 10 y = 7 ----- Endpoint: (2,7) ===================== Cheers, Stan H. =====================