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# Recent problems solved by 'ewatrrr'

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 Travel_Word_Problems/626943: An airplane flight took 2 hrs. to travel 780 miles with the headwind and the return trip with the tailwind only takes 1.5 hrs. Find the speed of the plane in still air and the speed of the wind. Pls. use two variables.1 solutions Answer 394528 by ewatrrr(10682)   on 2012-07-09 07:40:08 (Show Source): You can put this solution on YOUR website! ``` Hi, An airplane flight took 2 hrs. to travel 780 miles with the headwind and the return trip with the tailwind only takes 1.5 hrs. Let p and w represent the speed of the plane in still air and the speed of the wind respectively Question states*** Note: D = rt or t = D/r 2 = 780/(p-w) ⇒ (p-w) = 780/2 = 390 ⇒ p = 1.5 = 780/(p+w) p+w = 780/1.5= 520 + w = 520 2w = 130 w = 65mph and p = 455mph || p = and****Checking our Answer ```
 Numbers_Word_Problems/626938: Three numbers have the sum 447. The second number is 23 greater than the first and the third is 32 greater than the second number. Find the three numbers.1 solutions Answer 394523 by ewatrrr(10682)   on 2012-07-09 07:20:16 (Show Source): You can put this solution on YOUR website! ``` Hi, Three numbers have the The second number is 23 greater than the first number and the third is 32 greater than the second number. Question states*** 3x = 447 - 78 3x = 369 x = 123, the 1st number. The 2nd number is 146 and 3rd is 178 and**** 123 + 146 + 178 = 447 ```
 Volume/626935: how much liquid will fit into a container thatis 320 cubic yards capacity ?1 solutions Answer 394521 by ewatrrr(10682)   on 2012-07-09 07:08:08 (Show Source): You can put this solution on YOUR website! ``` Hi, how much liquid will fit into a container thatis 320 cubic yards capacity ? Note: 1 yd^3 = 201.97 Gal(US) ```
 Graphs/626671: An investor invested a total of 1500 in two mutual funds. One fund earned 7% profit while the other earned 2% profit. If the investor's total profit was \$95, how much was invested in each mutual fund?1 solutions Answer 394371 by ewatrrr(10682)   on 2012-07-08 11:44:36 (Show Source): You can put this solution on YOUR website! ``` Hi, An investor invested a total of 1500 in two mutual funds. One fund earned 7% profit while the other earned 2% profit. total profit was \$95 Question states*** .07x + .02(1500-x) = \$95 .05x = 95 - 30 .05x = 65 x = 65/.05 = \$1300, invested at 7%. \$200 invested at 2% and**** ```
 Money_Word_Problems/626616: when the cost of a car is multiplied by 0,06 the result is 1780. find the cost of the car1 solutions Answer 394369 by ewatrrr(10682)   on 2012-07-08 11:38:50 (Show Source): You can put this solution on YOUR website! ``` Hi, when the cost of a car is multiplied by 0.06 the result is 1780. .06x = 1780 x = 1780/.06 ```
 Linear-equations/626683: 4.Write the equation of the line which passes through (2, –3) and is perpendicular to y = 4x + 7 in standard form. Pase show work.1 solutions Answer 394368 by ewatrrr(10682)   on 2012-07-08 11:35:31 (Show Source): You can put this solution on YOUR website! ``` Hi, Previously Posted Write the equation of the line which passes through (2, –3) and is perpendicular to y = 4x + 7 ( m = 4/1) New Line: m = -1/4 (negative reciprocal of 4/1) y = (-1/4)x + b -3 = (-1/4)2 + b -5/2 = b y = (-1/4)x -7/2 or x + 4y = -14 ```
 test/626597: A piece of wire 35/3 inches long is to be divided into two parts such that one part is 2/3 that of the other. Find the length of the shorter piece.1 solutions Answer 394367 by ewatrrr(10682)   on 2012-07-08 11:33:43 (Show Source): You can put this solution on YOUR website! ``` Hi, A piece of wire 35/3 inches long is to be divided into two parts such that one part is 2/3 that of the other length Question states*** |Multiplying thru by 3 so as all denominators = 1 3x + 2x = 35in 5x = 35in x = 7in, the shorter piece is or 4 2/3in and***** ```
 Polygons/626627: how many diagonals are there in 23 sides? how many diagonals are there in 80 sides? how many sides are there in 135 diagonals? how many sides are there in 152 diagonals? how many sides are there in 275 diagonals? how many sides are there in 350 diagonals? how many sides are there in 1377 diagonals? - thanks. :)1 solutions Answer 394366 by ewatrrr(10682)   on 2012-07-08 11:21:20 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: how many diagonals are there in 80 sides? how many sides are there in 152 diagonals? 304 = n^2 - 3n n^2 - 3n - 304 = 0 n = 19 (tossing out negative solution for n) ```
 Linear-systems/626677: If 2a=7b=8c and 2a+7b+8c=3870,then What is the Value of 2a1 solutions Answer 394364 by ewatrrr(10682)   on 2012-07-08 11:07:28 (Show Source): You can put this solution on YOUR website! ``` Hi, If and 2a+7b+8c=3870 2a + 2a + 2a = 3870 3(2a) = 3870 2a = 1290 ```
 Geometry_Word_Problems/626634: the perimeter of a lot is 86 ft.. the length is 19 ft. greater than the width. what is the area of the lot?1 solutions Answer 394363 by ewatrrr(10682)   on 2012-07-08 11:04:37 (Show Source): You can put this solution on YOUR website! ``` Hi, the perimeter of a lot is 86 ft.. the length is 19 ft. greater than the width. , (w + 19ft) + w = 43ft 2w = 24ft w = 12ft and l = 31ft ```
 expressions/626674: if 1+2=11 4+5=209 3+4=103 4+2=80 1+3=?? reply me soon please.1 solutions Answer 394362 by ewatrrr(10682)   on 2012-07-08 10:50:51 (Show Source): You can put this solution on YOUR website! ``` Hi, 1 = 31 ||| 1 + 2 = 11 (2 = -20) ⇒ 1 = 31 2 = -20 ||| 4 + 2 = 80 (4=100) ⇒ 2 = -20 3 = 3 ||| 3+4 = 103 ⇒ 4 = 100 and 3 = 3 4 = 100 5 1 + 3 = 31 + 3 = 34 ```
 Linear-equations/626668: 3.Write the equation of the line which passes through (–4, 2) and is parallel to y = –x + 6 in slope-intercept form. Please show work1 solutions Answer 394361 by ewatrrr(10682)   on 2012-07-08 10:45:06 (Show Source): You can put this solution on YOUR website! ``` Hi, Previously Posted Write the equation of the line which passes through (–4, 2) and is parallel to y = –x + 6 ( m = -1) New Line: Parallel..same slope y = -x + b 2 = -(-4) + b -2 = b y = -x -2 ```
 Numbers_Word_Problems/626669: if 5 is added to a number and the sum is tripled, the result is 21 more than the number. Find the number.1 solutions Answer 394359 by ewatrrr(10682)   on 2012-07-08 10:43:12 (Show Source): You can put this solution on YOUR website! ``` Hi, if 5 is added to a number and the sum is tripled, the result is 21 more than the number. Question states*** 3(x+5) = x+ 21 3x + 15 = x + 21 2x = 6 x = 3 ****and... ```
 Probability-and-statistics/626672: A box contains 10 chips. Seven of the chips are perfect, but the remaining three have some imperfection. In a random drawing of 4 chips without replacement, what is the probability that all the chips are perfect? In a random drawing of 4 chips with replacement, what is the probability that none of the chips are perfect? In a random drawing of 4 chips without replacement, what is the probability that none of the chips are perfect?1 solutions Answer 394358 by ewatrrr(10682)   on 2012-07-08 10:37:04 (Show Source): You can put this solution on YOUR website! ``` Hi, A box contains 10 chips. Seven of the chips are perfect, but the remaining three have some imperfection. In a random drawing of 4 chips without replacement, what is the probability that all the chips are perfect? In a random drawing of 4 chips with replacement, what is the probability that none of the chips are perfect? 0 In a random drawing of 4 chips without replacement, what is the probability that none of the chips are perfect? 0 ```
 Coordinate-system/626665: Write the equation of the line that is perpendicular to the x-axis and passing through the point (5,1).1 solutions Answer 394357 by ewatrrr(10682)   on 2012-07-08 10:33:42 (Show Source): You can put this solution on YOUR website! ``` Hi, Write the equation of the line that is perpendicular to the x-axis and passing through the point (5,1). line is x = 5 ```
 Linear-systems/626662: the smallestof three consecutives integers is added to twice the largest, the result so obtained is 15 less than four timess the middle integer.find the integers1 solutions Answer 394356 by ewatrrr(10682)   on 2012-07-08 10:21:57 (Show Source): You can put this solution on YOUR website! ``` Hi, the smallest of three consecutives integers,, is added to twice the largest, the result so obtained is 15 less than four timess the middle integer. Question states*** x + 2(x+2) = 4(x+1) - 15 3x + 4 = 4x + 4 - 15 15 = x The three consecutives integers are 15, 16, 17 and ```
 Probability-and-statistics/626663: A box contains 10 chips. Seven of the chips are perfect, but the remaining three have some imperfection. In a random drawing of 4 chips with replacement, what is the probability that none of the chips are perfect? In a random drawing of 4 chips without replacement, what is the probability that none of the chips are perfect?1 solutions Answer 394354 by ewatrrr(10682)   on 2012-07-08 10:15:51 (Show Source): You can put this solution on YOUR website! ``` Hi, A box contains 10 chips. Seven of the chips are perfect, but the remaining three have some imperfection. In a random drawing of 4 chips with replacement, what is the probability that none of the chips are perfect? 0 In a random drawing of 4 chips without replacement, what is the probability that none of the chips are perfect? 0 ```
 Linear-equations/626659: Write the equation of the line which passes through (–4, 2) and is parallel to y = –x + 6 in slope-intercept form. please show work.1 solutions Answer 394353 by ewatrrr(10682)   on 2012-07-08 10:13:42 (Show Source): You can put this solution on YOUR website! ``` Hi, Write the equation of the line which passes through (–4, 2) and is parallel to y = –x + 6 ( m = -1) New Line: Parallel..same slope y = -x + b 2 = -(-4) + b -2 = b y = -x -2 ```
 Linear-equations/626657: 2.Write the equation of the line which passes through (2, 1) and is perpendicular to x = –2.please show work1 solutions Answer 394351 by ewatrrr(10682)   on 2012-07-08 10:10:13 (Show Source): You can put this solution on YOUR website! ``` Hi, Write the equation of the line which passes through (2, 1) and is perpendicular to x = –2 (vertical line) Line is y = 1 (horizontal line) ```
 Linear-equations/626660: Write the equation of the line which passes through (2, –3) and is perpendicular to y = 4x + 7 in standard form. please show work.1 solutions Answer 394349 by ewatrrr(10682)   on 2012-07-08 10:07:25 (Show Source): You can put this solution on YOUR website! ``` Hi, Write the equation of the line which passes through (2, –3) and is perpendicular to y = 4x + 7 ( m = 4/1) New Line: m = -1/4 (negative reciprocal of 4/1) y = (-1/4)x + b -3 = (-1/4)2 + b -5/2 = b y = (-1/4)x -7/2 or x + 4y = -14 ```
 Graphs/626652: pls give me the complete solution x-2y=5 x-2y=2 in slope-intercept method1 solutions Answer 394342 by ewatrrr(10682)   on 2012-07-08 09:36:50 (Show Source): You can put this solution on YOUR website! ``` Hi, x-2y=5 x-2y=2 5 ≠ 2, there is NO solution for this system in slope-intercept method... x-2y=5 x-2y=2 Slopes equal, lines parallel (can never intersect) ```
 Proportions/626603: Electric current (i) flowing in a circuit is inversely proportional to resistance (R).The current flow is 2 amps. When the resistance is 3 ohms.Find (1) the resistance when the current flow is 5 and 6 amps.respectly. (2) the current flow in a circuit when the resistance is 4 and 6 ohms respectly.1 solutions Answer 394341 by ewatrrr(10682)   on 2012-07-08 09:32:27 (Show Source): You can put this solution on YOUR website! ``` Hi, Electric current (i) flowing in a circuit is inversely proportional to resistance (R). The current flow is 2 amps. When the resistance is 3 ohms: , 2 = k/3, k = 6 (1) the resistance when the current flow is 5 and 6 amps.respectly. 6/5 ohms = R, 6/6 ohms = R (2) the current flow in a circuit when the resistance is 4 and 6 ohms respectly. i = 6/4 amps, i = 6/6 amps ```
 Numbers_Word_Problems/626635: One number is five more than twice another. The two numbers add to 29. What are those two numbers? 1 solutions Answer 394338 by ewatrrr(10682)   on 2012-07-08 09:20:20 (Show Source): You can put this solution on YOUR website! ``` Hi, One number is five more than twice another number The two numbers add to 29. Question states*** x + (2x+5) = 29 3x = 24 x = 8, the samller number. Larger is 21. and... ```
 Age_Word_Problems/626623: six times the denominator of a fraction is two less than eight times the numerator and ten times the numerator equals 20 less than ten times the denominator. the reciprocal of the fraction is?1 solutions Answer 394337 by ewatrrr(10682)   on 2012-07-08 09:16:24 (Show Source): You can put this solution on YOUR website! ``` Hi, six times the denominator of a fraction is two less than eight times the numerator and ten times the numerator equals 20 less than ten times the denominator. Let n and d represent the numerator and denominator respectively Question states*** 6d = 8n-2 10n = 10d-20 , 6d = 8 - 2 18 = 2d d = 9 and n = 7 the reciprocal of the fraction is 9/7 ```
 Numbers_Word_Problems/626638: if one half of an integer is added to one fifth the next consecutive integer, the sum is 17.find the integers1 solutions Answer 394333 by ewatrrr(10682)   on 2012-07-08 09:08:18 (Show Source): You can put this solution on YOUR website! ``` Hi, if one half of an integer is added to one fifth the next consecutive integer the sum is 17. Question states*** |Multiplying thru by 10 so as all denominators = 1 5x + 2(x+1) = 170 7x ++2 = 170 7x = 168 x = 24, the smalller, the larger consecutive integer is 25 and CHECKING our Answer*** ```
 Numbers_Word_Problems/626640: one numbers is two more than the other number. their product is 5 times the smaller number .find the numbers. 1 solutions Answer 394328 by ewatrrr(10682)   on 2012-07-08 08:51:30 (Show Source): You can put this solution on YOUR website! ``` Hi, one numbers is two more than the other number their product is 5 times the smaller number .find the numbers. Question states*** x(x+2) = 5x x^2 + 2x - 5x = 0 x^2 - 3x = 0 x(x-3) = 0 x = 3 or x = 0 and... CHECKING our Answer*** and ```
 Equations/626641: Write the related equation then solve each. 1.What number will you get if you subtract the sum of 567 and 234 from their sum? 2.A number is 350 more than the quotient of 63 and 7.What is the number? 3.Divide the sum of 35 and 21 by 7 and multiply the result by 6.What number will result? 4.What number will you get if you multiply the difference of 14 and 8 by t6he quotient of 40 and 5? 5.Add the product of 9 and 7 to the difference between 64 and 60.What will be the result?1 solutions Answer 394326 by ewatrrr(10682)   on 2012-07-08 08:46:14 (Show Source): You can put this solution on YOUR website! ``` Hi, 1.What number will you get if you subtract the sum of 567 and 234 from their sum? 2.A number is 350 more than the quotient of 63 and 7. 3.Divide the sum of 35 and 21 by 7 and multiply the result by 6. 4.What number will you get if you multiply the difference of 14 and 8 by the quotient of 40 and 5? 5.Add the product of 9 and 7 to the difference between 64 and 60.What will be the result? ```
 percentage/626644: If I raise the rent of my apartment from \$2700 dollars to \$3000 dollars is that an 11% increase? If I raise it from \$2700 to \$3200 would that be a 20% increase? Thank you, Mathmatically challenged landlord1 solutions Answer 394325 by ewatrrr(10682)   on 2012-07-08 08:36:31 (Show Source): You can put this solution on YOUR website! ``` Hi, If I raise the rent of my apartment from \$2700 dollars to \$3000 dollars is that an 11% increase? 3000/2700 = 1.11 0r 11% increase If I raise it from \$2700 to \$3200 would that be a 20% increase? 3200/2700 = 1.185 or 18.5% increase ```
 expressions/626642: f(x)=3x-4 and p(x)= 1/x -2 find (f+p)(2)1 solutions Answer 394324 by ewatrrr(10682)   on 2012-07-08 08:34:00 (Show Source): You can put this solution on YOUR website! ``` Hi, f(x)=3x-4 and p(x)= 1/x -2 (f+p)(x) = 3x + 1/x - 6 (f+p)(2) = ```
 test/626643: of the following,which is greater than 1/2 .2/5,4/7,5/111 solutions Answer 394323 by ewatrrr(10682)   on 2012-07-08 08:31:08 (Show Source): You can put this solution on YOUR website! ``` Hi, of the following,which is greater than 1/2 = 5/10 = 7/14 = 11/22 2/5 = 4/10 4/7 = 8/14 **** 5/11 = 10/22 ```
 Permutations/626537: An employer interviews 8 people for 4 technical support positions in a company, and 3 of the 8 people are men. If all 8 are qualified, in how many ways can the employer fill the technical support positions if exactly 2 are men1 solutions Answer 394270 by ewatrrr(10682)   on 2012-07-07 17:45:05 (Show Source): You can put this solution on YOUR website! ``` Hi, An employer interviews 8 people for 4 technical support positions in a company, and 3 of the 8 people are men. If all 8 are qualified, in how many ways can the employer fill the technical support positions if exactly 2 are men 3C2*5C2= 3*10 = 30 ways ```