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# Recent problems solved by 'ewatrrr'

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 Travel_Word_Problems/413915: A train leaves New York at 9 A.M and travels east at a constant speed of x mph. If another train leaves New York at 10 A.M and travels east, at what constant rate of speed will the second train have to travel in order to first catch train at exactly 1:30 P.M.?1 solutions Answer 290358 by ewatrrr(10682)   on 2011-02-25 06:51:22 (Show Source): You can put this solution on YOUR website! Hi Letting y represent constant rate of speed of the second train Question states*** Note: D = r*t and distances the same for both trains 4.5hr*x = 3.5hr*y Solving for y 4.5x/3.5 = y (9/7)x = y
 Inequalities/413924: the given values for x and y. In which table does y vary directly as the square of x? Find the constant of variation for hat relation between x and y. x -1, -2, 0, 1, 2, 3 y 2, 8, 0, 2, 8, 181 solutions Answer 290357 by ewatrrr(10682)   on 2011-02-25 06:45:23 (Show Source): You can put this solution on YOUR website! Hi x -1, -2, 0, 1, 2, 3 x^2 1, 4, 0, 1, 4, 9 y 2, 8, 0, 2, 8, 18 y = 2x^2 Constant of variation is 2
 Miscellaneous_Word_Problems/413914: The sum of a number and its reciprocal is 10/3. What is the number? I think the formula should be x + 1/x = 10/3. Is that correct? How do I solve? Thank you in advance for your help! cheers! 1 solutions Answer 290356 by ewatrrr(10682)   on 2011-02-25 06:41:10 (Show Source): You can put this solution on YOUR website! Hi Let x represent the number Question states*** x + 1/x = 10/3 |good work Solving for x 3x^2 + 3 = 10x 3x^2 - 10x + 3 = 0 factoring (3x -1)(x - 3) = 0 Note:SUM of the inner product(-x) and the outer product(-3x) = -10x (3x -1)=0 x = 1/3 (x - 3) = 0 x = 3 CHECKING our Answer(s)*** 1/3 + 3 = 10/3 3 + 1/3 = 10/3
 Triangles/413582: A right triangle has a hypotenuse of 50 feet and a leg of 14 feet. Which is the length of the other leg? 1 solutions Answer 290231 by ewatrrr(10682)   on 2011-02-24 15:46:00 (Show Source): You can put this solution on YOUR website! Hi A right triangle has a hypotenuse of 50 feet and a leg of 14 feet: applying the Pythagorean theorem length of the other leg = sqrt(50^2 - 14^2)= sqrt(2304) = 48ft
 Numbers_Word_Problems/413611: The sum of the reciprocal and twice the square of the reciprocal of a number is 3. Find the number(s).1 solutions Answer 290229 by ewatrrr(10682)   on 2011-02-24 15:39:59 (Show Source): You can put this solution on YOUR website! Hi Let x represent the number Question states*** 1/x + 2/x^2 = 3 Solving for x x + 2 = 3x^2 3x^2 - x - 2 = 0 factoring (3x + 2)(x-1) = 0 (3x + 2)=0 x = -2/3 (x-1) = 0 x = 1 CHECKING our Answer(s)*** 1 + 2 = 3 -3/2 + 2(-3/2)^2 = -3/2 + 18/4 = -6/4 + 18/4 = 12/4 = 3
 Numbers_Word_Problems/413612: the larger of 2 numbers is 2 more than 3 times the smaller number. let n represen the smaller number. write an algebraic expression for the sum of the two numbers.1 solutions Answer 290222 by ewatrrr(10682)   on 2011-02-24 15:30:53 (Show Source): You can put this solution on YOUR website! Hi Letting n represent the smaller number Sum of the two numbers = n + (3n+2)
 Expressions-with-variables/413614: linda takes classes at both westside community college and pinewood community college. At westside, class fees are \$98 per credit hour, and at Pinewood, class fees are \$115 per credit hour. Linda is taking a combined total of 15 credit hours at the two schools. If she took w credit hours at westside, write an expression for the total dollar amount she paid for all of her class fees. 1 solutions Answer 290220 by ewatrrr(10682)   on 2011-02-24 15:28:15 (Show Source): You can put this solution on YOUR website! Hi Letting w represent credit hours at westside ALL class fees = \$98*w + \$115(15-w)
 Numbers_Word_Problems/413616: what two numbers give you a sum of 22 and product of negative 720? 1 solutions Answer 290219 by ewatrrr(10682)   on 2011-02-24 15:24:55 (Show Source): You can put this solution on YOUR website! Hi two numbers give you a sum of 22 Let x and (22-x) represent the numbers Question states*** x(22-x) = -720 x^2 - 22x-720 = 0 factoring ( x-40)(x+18) = 0 ( x-40)= 0 x = 40 (x+18) = 0 x = -18 Numbers are -18 and 40
 Radicals/413609: 3 over radical 321 solutions Answer 290217 by ewatrrr(10682)   on 2011-02-24 15:13:59 (Show Source): You can put this solution on YOUR website! Hi
 Exponents-negative-and-fractional/413607: (3^3)(3^x)(3^(x-1))=3^121 solutions Answer 290214 by ewatrrr(10682)   on 2011-02-24 15:10:08 (Show Source): You can put this solution on YOUR website! Hi (3^3)(3^x)(3^(x-1))=3^12 3^(3+x+x-1) = 3^12 3^(2x+2) = 3^12 2x+ 2 = 12 x = 5 CHECKING our Answer*** 27*243*81 = 531,441
 Miscellaneous_Word_Problems/413595: twelve workers can complete a job in six days. after working two days four workers are transferred to a new site. instead of six das, how many are required to complete the job1 solutions Answer 290213 by ewatrrr(10682)   on 2011-02-24 15:06:22 (Show Source): You can put this solution on YOUR website! Hi twelve workers can complete a job in six days or 1/6 of job in 1 day. = 1/72 by each worker each day. After 2 days: 4/6 of job left and 8 workers left to complete: 8/72 Or 1/9 per day = 36/6 = 6 days to complete job
 Trigonometry-basics/413602: please help me solve this identity 1-2cos^2 x=2sin^2 x-11 solutions Answer 290210 by ewatrrr(10682)   on 2011-02-24 14:57:40 (Show Source): You can put this solution on YOUR website! Hi solving the identity 1-2cos^2 x=2sin^2 x-1 1 = 2cos^2x+2sin^2x-1 1 = 2(cos^2x+sin^2x)-1 1 = 2(1)-1 1 = 1
 Functions/413598: Solve 5x^2=10 Find the x-intercepts of f(x)=5x^2-101 solutions Answer 290208 by ewatrrr(10682)   on 2011-02-24 14:54:01 (Show Source): You can put this solution on YOUR website! Hi Solving 5x^2=10 x^2 = 2 x = ± sqrt(2) Findng the x-intercepts (when f(x) = 0) f(x)=5x^2-10 0 = 5x^2 - 10 5x^2=10 x = ± sqrt(2)
 Linear-equations/412566: Without graphing, determine whether the following pairs of lines are (a) parallel, (b) perpendicular, or (c) neither parallel nor perpendicular: 5x-6y=19 6x+5y=-301 solutions Answer 290206 by ewatrrr(10682)   on 2011-02-24 14:48:34 (Show Source): You can put this solution on YOUR website! Hi Decide whether the pair of lines is parallel, perpendicular or neither. 5x-6y=19 OR y = (5/6)x - 19/6 | m = 5/6 6x+5y=-30 OR y = (-6/5)x -6 | m = -6/5 Lines are perpendicular as 5/6*-6/5 = -1
 Linear-equations/413589: Decide whether the pair of lines is parallel, perpendicular or neither. 4x+3y=3 3x+4y=9 Here is what I have: 4x+3y=3 3y=-4x+3 y=-4/3x + 3/3 (= 1) 3x+4y=9 4y=-3x+9 y=-3/4x + 9/4 What would that make this and can you help explain the difference? I am pretty sure that parallel has the same slope and perpendicular is -1/x. I maybe be totally wrong, but I think it is neither. Help would be appreciated. Thank you much, Jeffrey G1 solutions Answer 290204 by ewatrrr(10682)   on 2011-02-24 14:43:00 (Show Source): You can put this solution on YOUR website! Hi Decide whether the pair of lines is parallel, perpendicular or neither. 4x+3y=3 OR y = -4/3x + 1 | m = -4/3 3x+4y=9 OR y = -3/4x + 9/4 | m = -3/4 Good work on finding the slopes: Neither, it is.
 Circles/409204: Write the standard form of the equation of the circle whose diameter has endpoints of (3, 0) and (7, 10)? 1 solutions Answer 290202 by ewatrrr(10682)   on 2011-02-24 14:31:07 (Show Source): You can put this solution on YOUR website! Hi circle whose diameter has endpoints of (3, 0) and (7, 10) (3, 0) and (7, 10) Midpoint is (5,5) | ( , ) (3, 0) and (7, 10 D = sqrt( (-4)^2 + (-10)^2)) | D = D = sqrt(116) = 2sqrt(29) and r = sqrt(29) Standard Form of an Equation of a Circle is where Pt(h,k) is the center and r is the radius (x-5)^2 + (y-5)^2 = 29
 Circles/413503: Find the equation of the circle that has its center at (6,-5) and passes through (1,7).1 solutions Answer 290201 by ewatrrr(10682)   on 2011-02-24 14:10:22 (Show Source): You can put this solution on YOUR website! Hi Find the equation of the circle that has its center at (6,-5) and passes through (1,7). (6,-5) (1,7) r = sqrt(5^2 + (-12)^2) = 13 |D = Standard Form of an Equation of a Circle is where Pt(h,k) is the center and r is the radius (x-6)^2 + (y+5)^2 = 169
 Reduction-of-unit-multipliers/413445: decide whether line 1 & line 2 are parallel perpendicular or neither line 1 passes through(-3,-7) and (-7,-5) line 2 passes through(-5,-2) and (-7,-6)1 solutions Answer 290200 by ewatrrr(10682)   on 2011-02-24 14:02:06 (Show Source): You can put this solution on YOUR website! Hi Using the point-slope formula, line 1 passes through (-3,-7) and (-7,-5) m = -2/4 = -1/2 | y = (-1/2)x -17/2 line 2 passes through (-5,-2) and (-7,-6) m = 4/2 = 2 | y = 2x + 8 Lines are perpendicular to one another as: -1/2*2 = -1
 Systems-of-equations/413567: Hello this is my problem, I am a student in algebra 1, Introductory and Intermidiate algebra. Find an equationof the line containing the point (6,9) 9x+y=8 I have to find slope first, which I am confused about finding for this problem. So y=-9x+8 slope is 1/9 i got help with that and I do not get it. y-y1=m(x-x1) y-9=1/9(x-6) y-9=1/9x-54+9 y=1/9x+63 I already know this is not correct but I cannot figure out these types of problems. Please help thank you so much!1 solutions Answer 290196 by ewatrrr(10682)   on 2011-02-24 13:51:22 (Show Source): You can put this solution on YOUR website! Hi Find an equation of the line containing the point (6,9) y = -9x + 8 | Yes same as 9x+y=8 "If" the new line is to be 'perpendicular' to the above..then Yes, its slope = 1/9 New Line: y-9=1/9(x-6) | Yes. y =1/9(x-6) + 9 y = 1/9(x) - 6/9 + 9 y= (1/9)x + 75/9 OR x-9y = -75
 Linear-equations/413566: Hello, I am stuggling with this co-ordinate geometry problem. Any help is greatly appreciated! Find the equation of the perpendicular bisector of the interval joining (-5,2) and (3,-4). Leave your answer in general form. Thank you so much for your time and consideration!1 solutions Answer 290193 by ewatrrr(10682)   on 2011-02-24 13:40:34 (Show Source): You can put this solution on YOUR website! Hi Find the equation of the perpendicular bisector of the interval joining (-5,2) and (3,-4). Determining the slope of the line containing this segment: (-5,2) and (3,-4) m = 6/-8 = -3/4 | Finding the Midpoint of the segment (-5,2) and (3,-4 Midpoint is Pt(-1,-1) | (, ) Line perpendicular(slope m = 4/3) passing thru Pt(-1,-1) y = (4/3)x + b |using ordered pair pt(-1,-1) to solve for b -1 = -4/3 + b 1/3 = b y = (4/3)x + 1/3 OR 4x - 3y = -1 in standard form.
 Travel_Word_Problems/413134: Charlie traveled 200 miles in 4 hours. If he continues traveling at the same speed, how long will it take him to travel 300 miles?1 solutions Answer 290025 by ewatrrr(10682)   on 2011-02-23 16:51:47 (Show Source): You can put this solution on YOUR website! Hi Let x represent time to travel 300 miles Question Sets Up the Proportion |Cross multiplying to solve 200x = 1200 x = 6 hr
 Linear_Equations_And_Systems_Word_Problems/413149: A 5-pound bag of apples costs \$3.50. At the same rate, what would be the cost of 7 pounds of apples1 solutions Answer 290024 by ewatrrr(10682)   on 2011-02-23 16:48:58 (Show Source): You can put this solution on YOUR website! Hi A 5-pound bag of apples costs \$3.50. At the same rate, what would be the cost of 7 pounds of apples Let x represent the cost of 7 pounds of apples question Sets up the Proportion |Cross multiplying to solve 5x = 7*3.50 x = \$4.90
 Inequalities/413141: Jenny buys a 18-in gourment sandwich.Jenny cuts the sandwich so that Demi gets half of what Jenny gets and Drew gets three-fourths of what Jenny gets. Find the the lenght of each person's sandwich?1 solutions Answer 290023 by ewatrrr(10682)   on 2011-02-23 16:43:56 (Show Source): You can put this solution on YOUR website! Hi Let x represent Jenny's portion Jenny: x Demi: x/2 Drew: (3/4)x Question states*** x + x/2 + 3x/4 = 18in |Multiplying thru by 4 so as all denominators=1 Solving for x 4x + 2x + 3x = 72 9x = 72 x = 8in Jenny: 8in Demi: 4in Drew: 6in |Note: portions total 18in
 Mixture_Word_Problems/413142: how many cups of an 18% salt solution must be added to 16 cups of a 25% solution to get a 20% solution1 solutions Answer 290022 by ewatrrr(10682)   on 2011-02-23 16:38:27 (Show Source): You can put this solution on YOUR website! Hi Let x represent the number of cups of the 18\$ solution Question states*** "Mixing" .18x + .25*16 = .20(16+x) Solving for x 18x + 25*16 = 20(16+x) |multiplying thru by 100 5*16 = 2x 40 = x CHECKING our Answer*** .18*40 + .25*16 = 7.2 + 4 = 11.2 = .20*56
Graphs/413140: How do you graph the following inequality: y is less than or equal to x?

1 solutions

Answer 290021 by ewatrrr(10682)   on 2011-02-23 16:30:59 (Show Source):
You can put this solution on YOUR website!

Hi
How do you graph the following inequality:
y ≤ x?
I. Graph the line y = x Pt(0,0), Pt(1,1) etc on the line (plot Pts and connect with line)
II. Shade area 'below'/including the line
 Solved by pluggable solver: Plot Any Inequality Graphing function :

 Surface-area/413137: if the length of a side of a cube is 17cm,what is its volume?1 solutions Answer 290020 by ewatrrr(10682)   on 2011-02-23 16:26:30 (Show Source): You can put this solution on YOUR website! Hi if the length of a side of a cube is 17cm,what is its volume? 17^3 = 4913 cm^3 V(cube) = s*s*s
 Triangles/413136: I'm given a right triangle. The hypotenuse of the triangle is labeled y and one leg is labeled x. I'm given one side it's 7 radical 3. I'm told to find x and y. I have no idea what to do.1 solutions Answer 290019 by ewatrrr(10682)   on 2011-02-23 16:24:30 (Show Source): You can put this solution on YOUR website! Hi Note: in a 30-60-90 Rt triangle, ratio of its sides is 1:sqrt(3):2 one side it's 7 radical 3 the other side would be: 7 the hypotenuse would be:14 |giving a ratio of 7:7sqrt(3):14 CHECKING our Answer*** using the Pythagorean Theorem 49 + 49*3 = 14^2 = 196