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# Recent problems solved by 'ewatrrr'

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 Word_Problems_With_Coins/667296: Find the total amount of money ( in cents ) for x nickels, ( x+3 ) dimes, and 2x quarters. ( Recall the value of a nickel is 5 cents, the value of a dime is 10 cents, and the value of a quarter is 25 cents.) Simplify your answer. 1 solutions Answer 414942 by ewatrrr(10682)   on 2012-10-16 13:46:05 (Show Source): You can put this solution on YOUR website! ``` Hi, x nickels, ( x+3 ) dimes, and 2x quarters. 5x + 10(x+3) + 25(2x) = 65x + 30 ```
 Mixture_Word_Problems/667297: How much 15% solution and How much 50% solution should be mixed together to make 60 gallons of a 30% solution?1 solutions Answer 414941 by ewatrrr(10682)   on 2012-10-16 13:44:16 (Show Source): You can put this solution on YOUR website! ``` Hi, How much 15% solution and How much 50% solution should be mixed together to make 60 gallons of a 30% solution? ```
 Linear-systems/667289: How do you solve the system -4x-6y=-12 and y=5x+19 using substitution?1 solutions Answer 414938 by ewatrrr(10682)   on 2012-10-16 13:40:53 (Show Source): You can put this solution on YOUR website! ``` Hi, solve the system using substitution -4x-6y=-12 -4x -6(5x+19) = -12 -4x -30x - 114 = -12 -34x = 102 x = 102/-34 x = -3 and y = 4 and... ```
 Travel_Word_Problems/667291: I need help on this problem. Can't seem to set it up correctly. "Against the wind a small plane flew 715 miles in 2 hours and 10 minutes. The return trip took only 1 hour and 50 minutes. What was the speed of wind? What was the speed of the plane in still air?1 solutions Answer 414936 by ewatrrr(10682)   on 2012-10-16 13:36:57 (Show Source): You can put this solution on YOUR website! ``` Hi, velocity = velocity = D/t (am going to express time in minutes) v - w = 715/130 = 5.5 v + w = 715/110 = 6.5 2v = 12 v = 6mi/min and w = .5mi/min 0r v = 360mph and w = 30mph ```
 Probability-and-statistics/667281: How many two-digit counting numbers are not a multiple of 10?1 solutions Answer 414934 by ewatrrr(10682)   on 2012-10-16 13:19:29 (Show Source): You can put this solution on YOUR website! ``` Hi, How many two-digit counting numbers are not a multiple of 10? Cannot use 0 in the tens place and not using 0 in the ones place... Or two-digit counting numbers minus 9 multiple of tens = 81 ```
 Equations/667282: If there are 450 people surveyed, and 106 people answer "Yes" What is this answer as a percentage?1 solutions Answer 414933 by ewatrrr(10682)   on 2012-10-16 13:14:11 (Show Source): You can put this solution on YOUR website! ``` Hi, If there are 450 people surveyed, and 106 people answer "Yes" What is this answer as a percentage P? ```
 Numbers_Word_Problems/667277: whats the answer to this problem the sum of two numbers is 30 the sum of the smaller and 4 times the larger is 78. find the numbers 1 solutions Answer 414932 by ewatrrr(10682)   on 2012-10-16 13:11:26 (Show Source): You can put this solution on YOUR website! ``` Hi, Setting Up algebraically to solve: sum of two numbersand is 30 sum of the smaller and 4 times the larger is 78 x+ y = 30 x + 4y = 78 || Subtracting 2nd EQ from 1st EQ to eliminate x -3y = -48 y = 16 and x = 14 ```
 Linear-systems/667274: Find the slope of the line through the pair of points. A(2, –3), P(2, 9) A. 0 B. 2/3 C. -1/3D. undefined1 solutions Answer 414928 by ewatrrr(10682)   on 2012-10-16 12:58:14 (Show Source): You can put this solution on YOUR website! ``` Hi, Find the slope of the line through the pair of points. A(2, –3), P(2, 9) m = (-3-9)/(2-2) Undefined (CANNOT divide by zero) this is a vertical line: x = 2 ```
 �t�e�s�t/667236: Which expresses the inequality x greater than or equal to 4 in interval notation? (Points : 3) (-∞, -4] (-4, ∞) [-4, ∞) (-∞, -4) 1 solutions Answer 414927 by ewatrrr(10682)   on 2012-10-16 12:55:39 (Show Source): You can put this solution on YOUR website! ``` Hi, [-4, ∞) x greater than or equal to -4 in interval notation ```
 Probability-and-statistics/667267: A researcher conducts a hypothesis test to evaluate the effect of a treatment. The hypothesis test produces a z=-2.60. Assuming that the reseacher is using a two-tailed test, what is the correct statistical decision?1 solutions Answer 414926 by ewatrrr(10682)   on 2012-10-16 12:52:21 (Show Source): You can put this solution on YOUR website! ``` Hi, The hypothesis test produces a z= -2.60 ⇒ reject Ho a a/2 crtical regions 80% 0.2 10% z <-1.28155 z >+1.28155 90% 0.1 5% z <-1.645 z >+1.645 92% 0.8 4% z <-1.751 z >+1.751 95% 0.05 2.50% z <-1.96 z >+1.96 98% 0.02 1% z <-2.326 z >+2.326 99% 0.01 0.50% z<-2.576 z >+2.576 ```
 Equations/667258: solve the equation for x, show your work 11 + 4x/-5 = 1x/31 solutions Answer 414920 by ewatrrr(10682)   on 2012-10-16 12:29:00 (Show Source): You can put this solution on YOUR website! ``` Hi, ```
 Circles/667257: Line segment AB intersects line segment ED in the middle at the point C If DC=6+x and CE=2x+1, find the value of x1 solutions Answer 414918 by ewatrrr(10682)   on 2012-10-16 12:24:37 (Show Source): You can put this solution on YOUR website! ``` Hi, Line segment AB intersects line segment ED in the middle at the point C EC = CD DC=6+x and CE=2x+1 2x+ 1 = 6 + x x = 5 ```
 Polynomials-and-rational-expressions/667246: What is the multiple zero of y=x^2-10x+251 solutions Answer 414917 by ewatrrr(10682)   on 2012-10-16 12:22:32 (Show Source): You can put this solution on YOUR website! ``` Hi, What is the multiple zero of y=x^2-10x+25 factoring and setting y to ZERO (x-5)(x-5)= 0 x = 5 is the multiple zero ```
 Radicals/667244: Hi, i'm doing a quiz in math. I'm 14 years of age. My names sierra. My couple questions of the day are about radicals. The question number one is, whats the answer to " 3 radical 28 " ???1 solutions Answer 414914 by ewatrrr(10682)   on 2012-10-16 12:18:15 (Show Source): You can put this solution on YOUR website! ``` Hi, Simplifying ```
 Triangles/667233: Suppose the measure of an exterior of an equiangular triangle is (x + 15)°. What is the value of x? x+15=120 -15 -15 x=105 Because the 2 angles of a triangle equals the measure of an exterior angle. My teacher says that x=105, I was just wondering If I am doing this and explaining it correctly as to why I missed it. 1 solutions Answer 414913 by ewatrrr(10682)   on 2012-10-16 12:02:50 (Show Source): You can put this solution on YOUR website! ``` Hi, Suppose the measure of an exterior of an equiangular triangle is (x + 15)°. What is the value of x? Measure of an Interior angle of an equiangular triangle is: 60° The exterior angle (x+15)° is the supplement of the interior angle: (x+15)° = 180° - 60° = 120° x+15°=120° x = 105° Using Your method of solving: Perhaps it was because of Your following statement did not say what you wanted it to say. "Because the 2 angles of a triangle equals the measure of an exterior angle" better stated would be something like this: An measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. ```
 Linear-equations/667234: Find a point-slope form of an equation of the line that passes through the point (-7,9) and has the slope m=-31 solutions Answer 414906 by ewatrrr(10682)   on 2012-10-16 11:29:20 (Show Source): You can put this solution on YOUR website! ``` Hi, Find a point-slope form of an equation of the line that passes through the point (-7,9) and has the slope m=-3 ```
 Exponents-negative-and-fractional/667231: 5\4x + 1\2= 2x-1\21 solutions Answer 414904 by ewatrrr(10682)   on 2012-10-16 11:18:29 (Show Source): You can put this solution on YOUR website! ``` Hi, IF... 4/3 = x ```
 Polynomials-and-rational-expressions/667221: 4/5=x+7/x-51 solutions Answer 414896 by ewatrrr(10682)   on 2012-10-16 11:06:02 (Show Source): You can put this solution on YOUR website! ``` Hi, | Cross Multiplying to solve 5(x+7) = 4(x-5) 5x + 35 = 4x - 20 x = -55 ```
 Polynomials-and-rational-expressions/667225: x/x+6=6/71 solutions Answer 414894 by ewatrrr(10682)   on 2012-10-16 11:02:32 (Show Source): You can put this solution on YOUR website! ``` Hi, | Cross Multiply to solve for x ```
 Polynomials-and-rational-expressions/667224: 3x-2/5=x+4/21 solutions Answer 414892 by ewatrrr(10682)   on 2012-10-16 11:00:28 (Show Source): You can put this solution on YOUR website! ``` Hi, IF... ```
 Polynomials-and-rational-expressions/667222: 3x-2/5+x+4/21 solutions Answer 414889 by ewatrrr(10682)   on 2012-10-16 10:57:21 (Show Source): You can put this solution on YOUR website! ``` Hi, IF... ```
 Word_Problems_With_Coins/667205: sally has 12 coins consisting of quarters and dimes. the value adds to 2.25, how many of each coin does she have?1 solutions Answer 414888 by ewatrrr(10682)   on 2012-10-16 10:54:55 (Show Source): You can put this solution on YOUR website! ``` Hi, sally has 12 coins consisting of quarters and dimes. Question states*** the value adds to \$2.25 Translate into an equation: CENTS makes sense 25x + 10(12-x) = 225¢ 15x = 105¢ x = 7, number of quarters. 5 Dimes and... ```
 Probability-and-statistics/667206: A fire department in a rural county reports that its response time to fires is approximately Normally distributed with a mean of 22 minutes and a standard deviation of 11.9 minutes. Approximately what proportion of their response times is over 30 minutes? a)0.03 b)0.21 c)0.25 d)0.75 e)0.79 1 solutions Answer 414881 by ewatrrr(10682)   on 2012-10-16 10:49:41 (Show Source): You can put this solution on YOUR website! ``` Hi,Re TY You did not say how You determine the P-value given the z-value NORMSDIST(.6723) is one such way of doing that ...using an Excel function NORMSDIST. Chart or TI calculator works as well. μ = 22 , σ =11.9 and z = (30-22)/11.9 P(x>30) = 1 -P(z ≤ .6723) = 1- NORMSDIST(.6723)= 1-.75 = .25 ```
 Linear-systems/667207: 4x+6y=15 -x+2y=51 solutions Answer 414876 by ewatrrr(10682)   on 2012-10-16 10:42:10 (Show Source): You can put this solution on YOUR website! ``` Hi, 4x+6y=15 ||Multiplying 2nd EQ by 4 and adding the EQs to eliminate x -x+2y=5 14y = 35 y = 35/14 = 5/2 and ```
 percentage/667208: Find the sale price of a \$40.00 shirt at 25% off.1 solutions Answer 414875 by ewatrrr(10682)   on 2012-10-16 10:37:15 (Show Source): You can put this solution on YOUR website! ``` Hi, Find the sale price of a \$40.00 shirt at 25% off ...paying 75% or 3/4 of regular price = \$30 ```
 Linear-equations/667213: What is the linear equation f for which f((1)=10 and f(2)=201 solutions Answer 414873 by ewatrrr(10682)   on 2012-10-16 10:32:52 (Show Source): You can put this solution on YOUR website! ``` Hi, What is the linear equation f for which f(1)=10 f(2)=20 ```
 Equations/667216: three subtracted from a number n.1 solutions Answer 414872 by ewatrrr(10682)   on 2012-10-16 10:30:39 (Show Source): You can put this solution on YOUR website! ``` Hi, three subtracted from a number n. Expressing algebraically: ```
 Polygons/667215: If the apothem of a regular triangle is 3, and the base is 4, what is the area of the triangle?1 solutions Answer 414868 by ewatrrr(10682)   on 2012-10-16 10:24:26 (Show Source): You can put this solution on YOUR website! ``` Hi, apothem of a regular triangle is 3, and the base is 4. area = (½)(apothem)(perimeter) area = ```
 Miscellaneous_Word_Problems/667209: I know the answer to the following problem is £10 per hour but I don't know how to show the workins of the sum: 3 workers each get paid depending on how many hours they have worked. The plumber worked for 3 times as long as the painter and the painter worked 5 times as long as the electrician. The total wage bill was £630. How much was each man paid? 1 solutions Answer 414867 by ewatrrr(10682)   on 2012-10-16 10:19:32 (Show Source): You can put this solution on YOUR website! ``` Hi, The plumber worked for 3 times as long as the painter and the painter worked 5 times as long as the electrician's hours . The total wage bill was £630. How much was each man paid? Translate into an equation: Electrician + Painter + Plumber x + 5x + 15x = 21x =£630 Electrician = £30 Painter £150 Plumber £450 ```
 Money_Word_Problems/667194: If 155 people equals 25% then how many people would equal 9% I want to get to 9% but don't know how many people from the 155 I would have to impact. It's related to Goal setting ... my goal is to reach 9% in order to do that I need to affect X # of people.1 solutions Answer 414863 by ewatrrr(10682)   on 2012-10-16 10:01:35 (Show Source): You can put this solution on YOUR website! ``` Hi, 155 is 25% 'of ' people .25x = 155 x = 155/.25 = 620, number of the people referred to. reaching 56 People would be that 9% goal ```
 Probability-and-statistics/667100: The mean of a distribution is 100 and the standard deviation is 10. Which of the following values is unusual? A.130 B.80 C.120 D.90 can you please explain how to do this, i dont understand it.1 solutions Answer 414861 by ewatrrr(10682)   on 2012-10-16 09:44:47 (Show Source): You can put this solution on YOUR website! ``` Hi, Important to Understand z -values as they relate to the Standard Normal curve: Below: z = 0, z = ± 1, z= ±2 , z= ±3 are plotted. Note: z = 0 , 50% of the area under the curve is to the left and 50% to the right For the normal distribution: one standard deviation from the mean accounts for about 68.2% of the set two standard deviations from the mean account for about 95.4% of the set**** and three standard deviations from the mean account for about 99.7%. μ = 100 , σ = 10 A. 130 > 3 standard deviations from the mean...comparatived to the others listed ... UNUSUAL ```