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# Recent problems solved by 'ewatrrr'

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 Geometry_Word_Problems/647310: Find the length of fencing needed to surround a rectangle corral the measuring 60 ft on each side. Here is my answer: A=LW 60x60=3600 ft1 solutions Answer 406100 by ewatrrr(10682)   on 2012-09-07 07:21:48 (Show Source): You can put this solution on YOUR website!``` Hi, Note: A = LW = is Area in ft^2 not length in ft. P(distance around) = 2L + 2W = ```
 Square-cubic-other-roots/646844: what is 2 times the cubed root of 40 plus the cubed root of 625?1 solutions Answer 405964 by ewatrrr(10682)   on 2012-09-06 15:48:58 (Show Source): You can put this solution on YOUR website! ``` Hi, ```
 Probability-and-statistics/646847: the resting heart rates for 10 members of a school's soccer team were measured by the school nurse.the results were the following (beats per min) : 55,58,47,62,64,61,56,60,63,65 compute the sample mean and round to the nearest tenth if necessary1 solutions Answer 405962 by ewatrrr(10682)   on 2012-09-06 15:44:24 (Show Source): You can put this solution on YOUR website! ``` Hi, total the individual rates and divide that total by 10 to find the sample 'mean' ```
 Money_Word_Problems/646808: The cost of electricity in a certain city is \$0.08 for each of the first 300 kWh (kilowatt-hours) and \$0.13 for each kWh over 300 kWh. Write an equation to find the number of kilowatt-hours used by a family that receives a \$43.50 electric bill. (Use x to represent the kilowatt-hours over the initial 3001 solutions Answer 405959 by ewatrrr(10682)   on 2012-09-06 15:40:30 (Show Source): You can put this solution on YOUR website! ``` Hi, Previously Posted 1. .08*300 = \$24 \$24 + .13x = 43.50 .13x = 19.50 x = 150kWh total kilowatt-hours is 450kWh ```
 Equations/646833: 1. The cost of electricity in a certain city is \$0.08 for each of the first 300 kWh (kilowatt-hours) and \$0.13 for each kWh over 300 kWh. Write an equation to find the number of kilowatt-hours used by a family that receives a \$43.50 electric bill. (Use x to represent the kilowatt-hours over the initial 300.) 1 Find the number of kilowatt-hours used by the family? kWh 2. Translate into an equation and solve. (Use n to represent the smaller number.) The sum of two numbers is twenty-four. Six less than five times the smaller is equal to the larger. 1 Find the numbers. 2 (smaller number) 3 (larger number1 solutions Answer 405956 by ewatrrr(10682)   on 2012-09-06 15:01:06 (Show Source): You can put this solution on YOUR website! ``` Hi, Previously Posted 1. .08*300 = \$24 \$24 + .13x = 43.50 .13x = 19.50 x = 150kWh total kilowatt-hours is 450kWh 2. (smaller number) n (larger number) (24-n) 5n - 6 = 24-n 6n = 30 n = 5, the smaller number. the larger is 19 ```
 Expressions-with-variables/646832: Write an algebraic expression that represents the number of feet in y yards. whats the answer to this problem?1 solutions Answer 405955 by ewatrrr(10682)   on 2012-09-06 14:51:00 (Show Source): You can put this solution on YOUR website! ``` Hi, algebraic expression that represents the number of feet in y yards. 3y = x ```
 Equations/646829: Hi can you help give me the answer to this problem? 1.The cost of electricity in a certain city is \$0.08 for each of the first 300 kWh (kilowatt-hours) and \$0.13 for each kWh over 300 kWh. Write an equation to find the number of kilowatt-hours used by a family that receives a \$43.50 electric bill. (Use x to represent the kilowatt-hours over the initial 300.) 1 solutions Answer 405954 by ewatrrr(10682)   on 2012-09-06 14:48:46 (Show Source): You can put this solution on YOUR website! ``` Hi, .08*300 = \$24 \$24 + .13x = 43.50 .13x = 19.50 x = 150kWh total kilowatt-hours is 450kWh ```
 Graphs/646815: If some one could help me that would be great! Thank you! Given the function f(x) = -3 + sq rt 4x+ 2 find the domain and the range of the function. The graph used windows of X [-10,10], Y[-10,10]1 solutions Answer 405952 by ewatrrr(10682)   on 2012-09-06 14:45:07 (Show Source): You can put this solution on YOUR website! ``` Hi, domain: {x | x ≥ -1/2} | Note: 4x+2 ≥ 0 Range: y ≥ - 3 ```
 Equations/646822: 1. Translate into an equation and solve. (Use n to represent the smaller number.) The sum of two numbers is twenty-four. Six less than five times the smaller is equal to the larger 2. Find three consecutive even integers whose sum is negative thirty-six. 1 solutions Answer 405951 by ewatrrr(10682)   on 2012-09-06 14:34:29 (Show Source): You can put this solution on YOUR website! ``` Hi, 1. smaller number n and larger number is (24-n) Question states*** 5n-6 = 24-n 6n = 30, n = 30/6 = 5 & the larger number is 19 and 2. x + (x+2) + (x+4) = -36 3x = -42 , x = -14 -14,-12,-10 are the integers. ```
 Equations/646817: 1. Translate into an equation and solve. (Use n to represent the smaller number.) The sum of two numbers is twenty-four. Six less than five times the smaller is equal to the larger 2. Find three consecutive even integers whose sum is negative thirty-six. 3. The cost of electricity in a certain city is \$0.08 for each of the first 300 kWh (kilowatt-hours) and \$0.13 for each kWh over 300 kWh. Write an equation to find the number of kilowatt-hours used by a family that receives a \$43.50 electric bill. (Use x to represent the kilowatt-hours over the initial 300.) 1 solutions Answer 405949 by ewatrrr(10682)   on 2012-09-06 14:28:27 (Show Source): You can put this solution on YOUR website! ``` Hi, 1. x + y = 24 OR y = 24-x and 5x-6 = y, 5x-6 = 24-x, 6x = 30, x = 30/6 = 5 & y = 19 and 2. x + (x+2) + (x+4) = -36 3x = -42 , x = -14 -14,-12,-10 are the integers. 3. \$43.50 = \$24 + .13x ```
 Probability-and-statistics/646776: 7 cards are marked with a diferent number from 1-7, then placed face down on a table. One card is selected at random and not placed. A second card is then taken, at random . Determine the probabity that one card has an odd number on it. This is the question I am unsure about. I found out that the probability for the first card that is picked up is 4/7 and for the second card the probability is 3/6 but I am not sure how to then use that info to get an answer to the writing above? Could you help?1 solutions Answer 405948 by ewatrrr(10682)   on 2012-09-06 14:16:02 (Show Source): You can put this solution on YOUR website! ``` Hi, 7 cards, 4 with odd numbers draw 1 w/o replacement and draw another P(one odd) = OR 4/7*3/6 + 3/7*4/6 = 12/42 + 12/42 = 24/42 = 4/7 ```
 Proportions/646798: 1. If 3x = 2x – 4, evaluate 4x + 2. 2 Translate into an equation and solve. The difference between a number, n, and twenty-seven is ten. 3. An adult and a child are on a seesaw that is 14 ft long. The adult weighs 186 lb and the child weighs 74.4 lb. How many feet from the child must the fulcrum be placed so that the seesaw balances? (Round your answer to the nearest whole number.) 1 ft 1 solutions Answer 405947 by ewatrrr(10682)   on 2012-09-06 13:59:59 (Show Source): You can put this solution on YOUR website! ``` Hi, 1. If 3x = 2x – 4, x = -4, ⇒ 4x + 2 = -14 2.The difference between a number, n, and twenty-seven is ten. property of levers” 74.4x = 186(14-x) 260.4x = 2604 x = 2604/260.4 = 10ft from the child the fulcrum should be placed ```
 Probability-and-statistics/646779: Rework problem 9 from section 2.3 of your text. Assume that you have 6 dimes and 5 quarters (all distinct), and you select 4 coins. (1) In how many ways can the selection be made? 330 (2) In how many ways can the selection be made if all the coins are dimes? 15 (3) In how many ways can the selection be made if you select 2 dimes and 2 quarters? 150 (4) In how many ways can the selection be made so that at least 2 coins are dimes? I'm confused on number four. I tied using 6c2+6c3+6c4 and multiplying the same set but none of the answers are right. I know the problem can be set up as total-less than two options but i dont know how to set up the permutiation or combination. I do understand how to visualize the problem though1 solutions Answer 405946 by ewatrrr(10682)   on 2012-09-06 13:38:17 (Show Source): You can put this solution on YOUR website! ``` Hi, 6 dimes and 5 quarters (all distinct), and you select 4 coins (1) In how many ways can the selection be made? 11C4 = 330 Yes. (2) In how many ways can the selection be made if all the coins are dimes? 6C4 = 15 Yes. (3) In how many ways can the selection be made if you select 2 dimes and 2 quarters? = 150 Yes. (4) In how many ways can the selection be made so that at least 2 coins are dimes? ```
 Probability-and-statistics/646789: if you randomly select 3 cans of regular and diet cola, but assume that there are 8 cans of regular cola and 6 cans of diet cola. (1) What is the probability that 3 cans of regular cola are selected? (2) What is the probability that 0 cans of regular cola are selected, i.e., 3 cans of diet cola are selected.? (1) What is the probability that 2 cans of regular cola and 1 can of diet cola are selected? 1 solutions Answer 405945 by ewatrrr(10682)   on 2012-09-06 13:25:26 (Show Source): You can put this solution on YOUR website! ``` Hi, 8 cans of regular cola and 6 cans of diet cola. cans Total randomly select 3 cans P(3 regular are selected) = 8C3/14C3 P(3 diet are selected) = 6C3/14C3 P(2 reg and 1 diet) = ```
 Numbers_Word_Problems/646791: Please help me with this problem. The sum of nine times a number, and 4, is equal to eight times the number. 1 solutions Answer 405943 by ewatrrr(10682)   on 2012-09-06 13:20:49 (Show Source): You can put this solution on YOUR website! ``` Hi, The sum of nine times a numberand 4, is equal to eight times the number. Question states*** 9x + 4 = 8x x = -4 and... ```
 Age_Word_Problems/646759: Please help me solve: Mary is n years old. How old will she be in 8 years? How old was she 8 years ago? Thanks1 solutions Answer 405940 by ewatrrr(10682)   on 2012-09-06 13:18:06 (Show Source): You can put this solution on YOUR website! ``` Hi, Mary is n years old. How old will she be in 8 years? How old was she 8 years ago? ```
 Linear-equations/646777: If the line passing through the points (1, a) and (4, -2) is parallel to the line passing through the points (2, 8) and (-7, a + 4), what is the value of a? Thanks for your help.1 solutions Answer 405936 by ewatrrr(10682)   on 2012-09-06 12:57:32 (Show Source): You can put this solution on YOUR website! ``` Hi, parellel lines have identical slopes (1, a) and (4, -2) (2, 8) and (-7, a + 4) |Multiplying thru by 9 so as all denominators = 1 -3(a+2) = 8-(a+4) -3a - 6 = 8 -a - 4 -10 = 2a -5 = a and... (1, -5) and (4, -2) m = -3/-3 = 1 (2, 8) and (-7, -1) m = 9/9 = 1 ```
 Money_Word_Problems/646735: Six hundred people attended the premiere of a motion picture. Adult tickets cost \$6, and children were admitted for \$2. If box office receipts totaled \$2880, how many children attended the premiere?1 solutions Answer 405925 by ewatrrr(10682)   on 2012-09-06 10:53:48 (Show Source): You can put this solution on YOUR website! ``` Hi, Six hundred people attended the premiere of a motion picture. Adult tickets cost \$6, and children were admitted for \$2. Question states***box office receipts totaled \$2880 6x + 2y = 2880 | y = 600-x 6x + 2(600-x) = 2880 4x = 1680 x = 420, number of adults, 180 children and ```
 Quadratic_Equations/646728: Professor I'm sorry to keep bothering you but I'm really desperate with this problem. I have no idea how to solve it at all. My worksheet says solve the equation and I think it's quadratic. Please help me with this. (3/3x)-(1/x+1)= 1 And here are my choices (A)0 (B)-1+the square root of 5 over 2 (C)-3+ the square root of 5 over 2 or (D) 1+ square root of 5 ovr 2 I tried finding the common denominator, as a result I got 0 but I'm not sure if that's correct. Thank you so much for your time. I highly appreciate this.1 solutions Answer 405924 by ewatrrr(10682)   on 2012-09-06 10:45:25 (Show Source): You can put this solution on YOUR website! ``` Hi, Previously Posted |Multiplying thru by 3x(x+1) so as all denominators = 1 3(x+1) - 3x = 3x(x+1) 3x^2+3x - 3 = 0 x^2 + x - 1 = 0 || y = ax^2 + bx + c = 0 Perhaps easier if one started with: |Multiplying thru by x(x+1) so as all denominators = 1 1 = x^2+x x^2 + x-1 = 0 ```
 Quadratic_Equations/646729: Professor I'm sorry to keep bothering you but I'm really desperate with this problem. I have no idea how to solve it at all. My worksheet says solve the equation and I think it's quadratic. Please help me with this. (3/3x)-(1/x+1)= 1 And here are my choices (A)0 (B)-1+the square root of 5 over 2 (C)-3+ the square root of 5 over 2 or (D) 1+ square root of 5 ovr 2 I tried finding the common denominator, as a result I got 0 but I'm not sure if that's correct. Thank you so much for your time. I highly appreciate this.1 solutions Answer 405923 by ewatrrr(10682)   on 2012-09-06 10:43:31 (Show Source): You can put this solution on YOUR website! ``` Hi, |Multiplying thru by 3x(x+1) so as all denominators = 1 3(x+1) - 3x = 3x(x+1) 3x^2+3x - 3 = 0 x^2 + x - 1 = 0 || y = ax^2 + bx + c = 0 ```
 Rate-of-work-word-problems/646730: If it takes 5 men 6 days to build a house, how many days will it take if only 3 men are able to work?1 solutions Answer 405921 by ewatrrr(10682)   on 2012-09-06 10:34:22 (Show Source): You can put this solution on YOUR website! ``` Hi, If it takes 5 men 6 days to build a house, how many days will it take if only 3 men are able to work? Note: 10days = x ```
 Probability-and-statistics/646721: the letters of the word "COMPUTER" are arranged randomly. find the probablity that all vowels occupy adjacent places.1 solutions Answer 405920 by ewatrrr(10682)   on 2012-09-06 10:29:00 (Show Source): You can put this solution on YOUR website! ``` Hi, "C O M P U T E R" 8 letters, 3 vowels grouped for adjacent placement The 3 vowels thmeselves have 3! ways of being arranged total ways vowels can occupy adjacent places = 3!6! (the 6! being ways of arranging the remaining 5 letters and the group of 3 vowels) total ways of arranging 8 letters is 8! the letters of the word "COMPUTER" are arranged randomly... P(that all vowels occupy adjacent places) = 3!6!/8! = ```
 Surface-area/646689: If you have a cone, and the area of the base is 16(pi)^2 in and is 3 in long (slant hight) how would you solve to find the surface area of the cone?1 solutions Answer 405919 by ewatrrr(10682)   on 2012-09-06 10:13:06 (Show Source): You can put this solution on YOUR website! ``` Hi, cone with s = 3in and base area of in^2, r = 4in surface area = in^2 ```
 Inequalities/646673: find all solutions of the equation . please show me every step.I can't seem to factor out the equation I have only gotten as far as then I got I have tried all kind of combinations but I just can not ge this to factor. HELP!1 solutions Answer 405915 by ewatrrr(10682)   on 2012-09-06 09:59:07 (Show Source): You can put this solution on YOUR website! ``` Hi, || Let 4y^2 - 8y - 5 = 0 (2y - 5)(2y + 1) = 0 y = 5/2 or y = -1/2 Tossing out y = -1/2 as being an extraneous root y = 5/2 and ```
 Probability-and-statistics/646303: Given a binomial distribution with n = 36 and p = 0.87, would the normal distribution provide a reasonable approximation? Why or why not?1 solutions Answer 405822 by ewatrrr(10682)   on 2012-09-05 17:26:39 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: normal distribution provides a reasonable approximation for a binomial distribution whenever np ≥ 5 AND nq ≥ 5 (most textbooks use 5) However Both condiditons are not met, so NO ```
 Sequences-and-series/646268: determine the number of terms in the arithmetic series... a sub 1 = -27 a sub n = -51 s sub n = -1951 solutions Answer 405817 by ewatrrr(10682)   on 2012-09-05 17:10:04 (Show Source): You can put this solution on YOUR website! ``` Hi, arithmetic series **** -195 = n(-27 + -51)/2 -195 =( -78/2)n -195/-39 = n 5 = n Note: = -27 + 4d = -51, d = -6 {-27,-33,-39,-45,-51} ```
 Equations/646274: I am trying to assist my child w/ her algebra homework; but have no idea as to how to answer this equation. We'd really appreciate your assistance. Thank you. 3/4n + 16=2 1/8n1 solutions Answer 405811 by ewatrrr(10682)   on 2012-09-05 16:52:31 (Show Source): You can put this solution on YOUR website! ``` Hi, The idea is to have all denominators = 1 Note: |Multiplying thru by 8 so as all denominators = 1 6n + 128 = 17n 128 = 11n 128/11 = n OR ```
 Graphs/646233: solve and graph x^2-10x+24>0 1 solutions Answer 405798 by ewatrrr(10682)   on 2012-09-05 16:22:28 (Show Source): You can put this solution on YOUR website! ``` Hi, y = x^2-10x+24 ||Completing Square to put Parabolic function in Vertex form y = (x-5)^2 - 25 + 24 y = (x-5)^2 - 1 V(5,-1) Graph y = (x-5)^2 - 1 and determine where the function is > 0 {x | x < 4 or x > 6} ```
 Geometric_formulas/646217: Can you explain how to turn 3-2x=5+3y into slope intercept form? (I sent it before but i had a typo)1 solutions Answer 405785 by ewatrrr(10682)   on 2012-09-05 15:52:38 (Show Source): You can put this solution on YOUR website! ``` Hi, how to turn 3-2x=5+3y into slope intercept form ... by solving for y 5 + 3y = 3-2x 3y = -2x - 2 y = (-2/3)x - 2/3 m = -2/3 and the y-intercept is -2/3 Pt(0,-2/3) ```
 Probability-and-statistics/646174: According to the Internal Revenue Service, the mean tax for the year 2011 was \$3,000. Assume the standard deviation is \$410 and that the amounts follow a normal probability distribution. What percent of the refunds are less than \$2,900 or greater than \$3,200?1 solutions Answer 405777 by ewatrrr(10682)   on 2012-09-05 15:39:18 (Show Source): You can put this solution on YOUR website! ``` Hi, mean tax for the year 2011 was \$3,000. Assume the standard deviation is \$410 Using TI-83 Calculator to Probability Distribution Values Normal Press 2nd VARS [DISTR].Scroll down to 2:normalcdf and Press ENTER. Enter data and Press ENTER. P(x < 2900 or > 3200) = 1 - P(2900 ≤ x ≤ 3200) = 1- normalcdf(2900, 3200, 3000, 410) ```
 Geometric_formulas/646206: This question was in my math book and i don't understand it. It reads "Find the coordinates for all the points on a number line whose distance from -1 is equal to 3.5. Can you explain?1 solutions Answer 405767 by ewatrrr(10682)   on 2012-09-05 15:22:05 (Show Source): You can put this solution on YOUR website! ``` Hi, "Find the coordinates for all the points on a number line whose distance from -1 is equal to 3.5. ```