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# Recent problems solved by 'ewatrrr'

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 Travel_Word_Problems/653152: A cheetah runs 70mi/hr if he runs for 15 mins how far will it reach?1 solutions Answer 408258 by ewatrrr(10682)   on 2012-09-18 08:16:46 (Show Source): You can put this solution on YOUR website! ``` Hi, A cheetah runs 70mi/hr if he runs for 15 mins how far will it reach? 15min = 1/4 hr and D = rt ```
 Exponents/653139: Please simplify: 1. -(2n-1)-(3n+2)+3 Evaluate the following expression when a=2 and b=-1 2. 3a to the second power -b to the second power1 solutions Answer 408255 by ewatrrr(10682)   on 2012-09-18 08:13:49 (Show Source): You can put this solution on YOUR website! ``` Hi, |Removing Parenthesis and combining Like Terms | Evaluating expression when a=2 and b=-1 ```
 Inverses/653130: It's been several decades since I've done this so I appreciate the help. -5x/3 + 2 > 12 = x < -6 Unfortunately I get x > -6 So my question is when using "< or >" and negative numbers, do you reverse the "<, >" when bringing the negative to the other side of the equation? Thanks for the help.1 solutions Answer 408253 by ewatrrr(10682)   on 2012-09-18 08:09:47 (Show Source): You can put this solution on YOUR website! ``` Hi, Using the following steps, one need not worry about the 'reverses inequality' rule -5x/3 + 2 > 12 -5x/3 + 2 + 5x/3 > 12 + 5x/3 2 > 12 + 5x/3 -6 > x Using this method of solving,(multiplying/dividing by negative number) Yes,reverses the inequality sign -5x/3 + 2 > 12 x < -6 ```
 Polynomials-and-rational-expressions/652722: (2x^2+11x+12)/(x+4)1 solutions Answer 408084 by ewatrrr(10682)   on 2012-09-17 16:56:23 (Show Source): You can put this solution on YOUR website! ``` Hi, ```
 Inequalities/652700: I need to solve the following inequality and i've tried everything but i can't seem to find an answer. The problem says: A number is less than one fourth the sum of three times the number and four. x < 1/4 + 3x + 41 solutions Answer 408073 by ewatrrr(10682)   on 2012-09-17 16:36:06 (Show Source): You can put this solution on YOUR website! ``` Hi, A number is less than one fourth the sum of three times the number and four. x < 1/4(3x + 4) 4x < 3x + 4 x < 4 For Ex ```
 Graphs/652689: sketch graph y=-x^2+11 solutions Answer 408070 by ewatrrr(10682)   on 2012-09-17 16:29:26 (Show Source): You can put this solution on YOUR website! ``` Hi, the vertex form of a Parabola opening up(a>0) or down(a<0), where(h,k) is the vertex and x = h is the Line of Symmetry Parabola opening Downward a = -1 < 0 y= -x^2+1 V(0,1) x = 0 the line of symmetry & When y = 0, x = ± 1 ```
 Linear-equations/652694: Wite the slope intercept form of the equation of the line described Through: (1,-4), parallel to y = -x + 3 Through: (2,1), perp. To y = 2x - 21 solutions Answer 408066 by ewatrrr(10682)   on 2012-09-17 16:22:27 (Show Source): You can put this solution on YOUR website! ``` Hi, Using the standard slope-intercept form for an equation of a line y = mx + b where m is the slope and b the y-intercept. Line Through: (1,-4), parallel to y = -x + 3 ( m = -1) Slopes the same New Line y = -x + b ||Using pt(1,-4) to solve for b -4 = -1 + b -3 = b y = -x - 3 Through: (2,1), perp. To y = 2x - 2 (m = 2) New Line, m = -1/2 New Line y = (-1/2)x + b ||Using pt(2,1) to solve for b 1 = -1 + b 2 = b y = (-1/2)x + 2 ```
 Equations/652678: im confused about this problem 3g-6(g-8)=42 i know how to do it execept i et lost in i would appreciate it so much if you could help my daughter because i dont know how to do it and my daughter is in 5th grade gifted thank you1 solutions Answer 408060 by ewatrrr(10682)   on 2012-09-17 16:16:20 (Show Source): You can put this solution on YOUR website! ``` Hi, Goal: isolate the variable on one side of the Equation 3g-6(g-8)=42 ||deal with the parenthesis FIRST 3g - 6g + 48 = 42 ||Combine Like Terms -3g + 48 = 42 || continue to Combine like terms (subtract 48 from both sides) -3g + 48 - 48 = 42 - 48 -3g = -6 ||Finally, isolate g by dividing both sides by -3 g = 2 and... ```
 Probability-and-statistics/652628: The credit card industry has determined that about 65% of college students will be late making a minimum payment when paying their credit card every year at least once. If 10 randomly selected students who own a credit card is selected. What is the probability that at most 2 of the ten selected are late with their credit card payment? What is the probability that more than 7 are late with their credit card payment? I need help with which formula to use and how to set up the problem 1 solutions Answer 408039 by ewatrrr(10682)   on 2012-09-17 14:23:36 (Show Source): You can put this solution on YOUR website! ``` Hi, Re TY, Following can also be found using the Excel function BINOMDIST() BIONOMIAL Distrubtion: P(late) = .65 , n = 10 Using TI 83 Calculator P(x ≤ 2) is binomcdf(10, .65, 2) 0r Excel function BINOMDIST(2,10,0.65,TRUE) P(x > 7) = 1 - P(x ≤ 7) = 1 - binomcdf(10, .65, 7) 0r = 1 - BINOMDIST(7,10,0.65,TRUE) Plain calculator works as well using P = nCx* P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2) = 10C0(.65^0)(.35)^10 + 10C1(.65)^1(.35)^9 + 10C2(.65)^2(.35)^8 P(x > 7) = P(x = 8) + P(x = 9) + P(x = 10) Stattrek.com can also be used to check Your work ```
 Quadratic-relations-and-conic-sections/652575: Identify the type of curve and solve equation: y^2-2x+6y+5=01 solutions Answer 408033 by ewatrrr(10682)   on 2012-09-17 14:00:42 (Show Source): You can put this solution on YOUR website! ``` Hi, y^2-2x+6y+5=0 2x-5 = y^2 + 6y 2x-5 + 9 = y^2 + 6y + 9 ||Adding 9 to both sides to complete the Square on the right side 2x -5 + 9 = (y+3)^2 2x + 4 = (y+3)^2 ||Multiplying thru by 1/2 Parbola, V(-2,-3), line of symmetry y = -3 vertex form of a Parabola opening right(a>0) or left(a<0), where(h,k) is the vertex and y = k is the Line of Symmetry ```
 Quadratic-relations-and-conic-sections/652586: Hello! I am having a hard time understanding the way much of the online math resources are written. They all seem to be using a very mathematical sort of dialect (thus we can see... or to find x we need to complete a square, with no word on how one might accomplish this "completion of a square"), which in my opinion is counterproductive--the very people needing help with math are the very ones who won't understand the language! Anyways, that's a bit long-winded, so here's the problem: "If a parabola opening to the left has a vertex at (-1, -3) and passes through point (-3,-2), what is the coefficient of the squared term in the parabola's equation?" Thanks very much for reading this!1 solutions Answer 408031 by ewatrrr(10682)   on 2012-09-17 13:51:00 (Show Source): You can put this solution on YOUR website! ``` Hi, Parabolas: the vertex form of a Parabola opening up(a>0) or down(a<0)is: where(h,k) is the vertex the vertex form of a Parabola opening right(a>0) or left(a<0)is: where(h,k) is the vertex Question states*** parabola opening to the left has a vertex at (-1, -3) x = a(y+3) - 1 , a <0 |Using Pt(-3,-2) to solve for a -3 = a(-2 + 3)^2 - 1 -2 = a x = -2(y+3) - 1 the coefficient of the squared term is -2 ```
 test/651715: A method for solving 5(x-2)-2(x-5)=9 is shown below.indentify the property used to obtain each of the 2 indicated steps. 5( x-2)-2(x-5)=9 #1 5x-10-2x+5=. #(2)5x-2x-10+10=9 3x+0=9. 3x=9x=3 how can I get toturin face to face on Saturday my phone. 516 2920918 thanks1 solutions Answer 407778 by ewatrrr(10682)   on 2012-09-15 13:05:59 (Show Source): You can put this solution on YOUR website! ``` Hi, Sry, we do not have the capability of face-to-face tutoring on this site 5( x-2)-2(x-5)=9 5x -10 -2x + 10=9 Distributive Property ('Distributing' the 5 and -2) 5x-2x-10+10=9 Cummutative Property ( 'Moving' Terms around ) 3x = 9 x = 3 Migt recommend the following as a reference with examples: http://www.purplemath.com/modules/numbprop.htm ```
 Mixture_Word_Problems/651716: How much of a 50% acid solution must be mixed with 50 gallons of a 12% acid solution to obtain a solution that is 40% acid? I tried to do 0.5X + 50(0.12)= 0.4, but I got a negative answer.1 solutions Answer 407775 by ewatrrr(10682)   on 2012-09-15 12:23:30 (Show Source): You can put this solution on YOUR website! ``` Hi, Correct Set Up is: 0.5X + 50(0.12)= 0.4(X+50) ||The amount of 'solution' on both sides must be the same X = 140gal of 50% solution needed and.. ```
 Linear_Equations_And_Systems_Word_Problems/651706: jennifer has nickels, dims and quarters in her piggy bank. in total she has 49 coins, with a value of \$5.20. if she has five more dimes than all the nickels and quarters combined, how many of each type of coin does she have? 1 solutions Answer 407773 by ewatrrr(10682)   on 2012-09-15 12:10:51 (Show Source): You can put this solution on YOUR website! ``` Hi, 49 coins... five more dimes than all the nickels and quarters combined q + n + d = 49 || q + n + ((q+n)+5) = 49 2q + 2n = 44 q + n = 22 0r And... the number of dimes = 27 Question states*** value of \$5.20 CENTS makes sense 25q + 10d + 5n = 520 25q + 10·27 + 5(22-q) = 520 25q + 10·27 + 5·22- 5q = 520 20q = 140 q = 7, the number of quaters. Number of Nickels = 15 and... ```
 Polynomials-and-rational-expressions/651707: Write the polynomial in descending powers of the variable 8w^2-6w^4+w^61 solutions Answer 407771 by ewatrrr(10682)   on 2012-09-15 11:49:26 (Show Source): You can put this solution on YOUR website! ``` Hi, Write the polynomial in descending powers of the variable 8w^2-6w^4+w^6 ```
 Percentage-and-ratio-word-problems/651709: There are 24 students on a college tour 1/3 of them are 17 and the rest are18 how many students are 181 solutions Answer 407770 by ewatrrr(10682)   on 2012-09-15 11:45:14 (Show Source): You can put this solution on YOUR website! ``` Hi, There are 24 students on a college tour 1/3 of them are 17 and the rest are 18 16 = x , 16 are eighteen ```
 Distributive-associative-commutative-properties/651695: please take me step by step for this and how it is done . please, i don't know the rules for either of these 1.)solve 2x+3x-5+7=10x+3-6x-4 2.)solve 7=-5(2a-1)-(-11a+6) I know you have to eliminate the parentheses from #2, I'm just so confused about the steps. 1 solutions Answer 407769 by ewatrrr(10682)   on 2012-09-15 11:41:05 (Show Source): You can put this solution on YOUR website! ``` Hi, the idea is to take the steps necessary so that the is isolated on one side of the EQ 2x+3x-5+7=10x+3-6x-4 ||combine Like Terms on each side of EQ 5x + 2 = 4x - 1 || combine Like Terms from BOTH sides of the EQ 5x+ 2 - 4x - 2 = 4x-1 - 4x -2 x = -3 ||Note: when x has been isolated, the we can Read x = -3 ! 7=-5(2a-1)-(-11a+6) ||"eliminate the parentheses" Yes! 7 = -10a + 5 +11a - 6 ||combine Like Terms on each side of EQ 7 = a - 1 || combine Like Terms from BOTH sides of the EQ 8 = a ```
 Linear_Equations_And_Systems_Word_Problems/651700: When 5 is added to 4 times a number,the answeR is 32.write this problem as an equationand solve it.1 solutions Answer 407768 by ewatrrr(10682)   on 2012-09-15 11:28:21 (Show Source): You can put this solution on YOUR website! ``` Hi, previously Posted When 5 is added to 4 times a number the answer is 32 Question states*** 4x + 5 = 32 4x = 27 x = 27/4 0r ```
 Linear_Equations_And_Systems_Word_Problems/651701: When 5 is added to 4 times a number,the answeR is 32.write this problem as an equation and solve it.1 solutions Answer 407767 by ewatrrr(10682)   on 2012-09-15 11:27:44 (Show Source): You can put this solution on YOUR website! ``` Hi, When 5 is added to 4 times a number the answer is 32 Question states*** 4x + 5 = 32 4x = 27 x = 27/4 0r ```
 Quadratic_Equations/651391: How do you graph Y = x2 -6x +8?1 solutions Answer 407643 by ewatrrr(10682)   on 2012-09-14 10:51:30 (Show Source): You can put this solution on YOUR website!``` Hi, How do you graph Y = x^2 -6x +8 || Putting into Vertex Form by completing the Square y =(x-3)^2 - 9 + 8 y = (x-3)^2 - 1 and when (x-3)^2 - 1 = 0 ,, x = 3 ± 1 the vertex form of a Parabola opening up(a>0) or down(a<0), where(h,k) is the vertex and x = h is the Line of Symmetry Parabola opening Upward, V(3,-1) and x - 3 the line of symmetry x-intercepts (2,0) and (4,0) ```
 Exponents/651351: Calculate the value of log (10) 2,in function of: (m, n), knowing that log (30) 3 = m, and log (30) 5 = n.1 solutions Answer 407637 by ewatrrr(10682)   on 2012-09-14 10:07:02 (Show Source): You can put this solution on YOUR website!``` Hi, Note: that is: will Let You finish it Up ```
 Average/651368: a student scores 82%,86% and 78% on her three exams. What score is needed on the fourth exam for the student to have an average of 85% for all four exams ?1 solutions Answer 407627 by ewatrrr(10682)   on 2012-09-14 09:38:34 (Show Source): You can put this solution on YOUR website!``` Hi, a student scores 82%,86% and 78% on her three exams. What score is needed on the fourth exam for the student to have an average of 85% for all four exams solve for x ```
 Polynomials-and-rational-expressions/651365: Multiply (a+5)^3. The product is? Thanks for the help be sure to give great reviews thanks again.1 solutions Answer 407626 by ewatrrr(10682)   on 2012-09-14 09:36:29 (Show Source): You can put this solution on YOUR website!``` Hi, (a + 5)^3 = (a+5)(a^2 + 10a + 25) = a(a^2 + 10a + 25) +5(a^2 + 10a + 25)= a^3 + 15a^2 + 75a + 125 According to the Bionomial Theorem: ```
 Quadratic_Equations/651360: twice a number increased by 35 is equal to the square of the number1 solutions Answer 407621 by ewatrrr(10682)   on 2012-09-14 09:24:08 (Show Source): You can put this solution on YOUR website!``` Hi, twice a number increased by 35 is equal to the square of the number Question states*** 2x + 35 = x^2 x^2 - 2x - 35 = 0 factoring (x-7)(x+5) = 0 (x-7)= 0, x = 7 0r (x+5) = 0 x = -5 and.. ```
 Angles/651364: find the measure of two complementary anglessuch that the larger angle is six less than twice the smaller angle?1 solutions Answer 407619 by ewatrrr(10682)   on 2012-09-14 09:20:29 (Show Source): You can put this solution on YOUR website!``` Hi, find the measure of two complementary angles and such that the larger angle is six less than twice the smaller angle? (90° -x) = 2x-6° 96° = 3x 32° = x, smaller angle. Larger is 58° and... ```
 Numbers_Word_Problems/651363: One positive number is one-fifth of another number. The difference between the two numbers is 116, find the numbers.1 solutions Answer 407616 by ewatrrr(10682)   on 2012-09-14 09:16:06 (Show Source): You can put this solution on YOUR website!``` Hi, One positive number is one-fifth of another number Question states*** difference between the two numbers is 116 x - y = 116 |Multiplying thru by 5 so as all denominators = 1 5x - x = 580 4x = 580 x = 145 and y = 29 and... ```
 Miscellaneous_Word_Problems/651358: A minor league baseball team plays 105 games in a season. If the team won 17 more than three times as many games as they lost, how many wins and losses did the team have?1 solutions Answer 407614 by ewatrrr(10682)   on 2012-09-14 09:11:15 (Show Source): You can put this solution on YOUR website!``` Hi, team won 17 more than three times as many games as they lost Losses x Wins 3x + 17 Question states***plays 105 games x + (3x + 17) = 105 4x = 88 x = 22, losses. Wins = 83 and... ```
 Miscellaneous_Word_Problems/650953: A basketball team recently scored a total of 88 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots.Altogether the team made 51 baskets and 14 more 2-pointers than foul shots. how many shots of each kind were made?1 solutions Answer 407516 by ewatrrr(10682)   on 2012-09-13 16:34:42 (Show Source): You can put this solution on YOUR website! ``` Hi 51 baskets and 14 more 2-pointers than foul shots 1-point foul shots: x 2-point field goals: x + 14 3-point field goals: 51-x - (x+14)= (37-2x) Question states***total of 88 points x + 2(x+14) + 3(37-2x) = 88 x + 2x + 28 + 111 - 6x = 88 -3x = -51 x = 17 and.. ```
 Rational-functions/650951: how do you graph the domain for all real numbers and the range that y is less than or equal to 21 solutions Answer 407514 by ewatrrr(10682)   on 2012-09-13 16:20:09 (Show Source): You can put this solution on YOUR website!``` Hi, Solved by pluggable solver: Plot Any Inequality Graphing function : ```
 Permutations/650931: How many different sets of 4 marbles can you package if you have blue, white, yellow and pink marbles? The answer is 35 but I keep getting 24 using 4!. I have also tried 4C4 and 4P4 using combinations and permutation. but can't figure out how to get 35.1 solutions Answer 407513 by ewatrrr(10682)   on 2012-09-13 16:16:58 (Show Source): You can put this solution on YOUR website!``` Hi, How many different sets of 4 marbles can you package if you have blue, white, yellow and pink marbles? Reference is being made to what colors the marbles are in each possible set for example: possible Sets: all different colors: 1 All the same color: 4 3 of one color: 4*3 = 12 pairs of the same color: 6 bbyy,bbww,bbpp, yyww,yypp, ppww 2 of one color and 2 others different: 4*3 = 12 ```
 Trigonometry-basics/650920: Find th coordinates of the other endpoint of the segment, given its midpoint an one endpoint. Midpoint (-2,-6), endpoint (2,-3)1 solutions Answer 407492 by ewatrrr(10682)   on 2012-09-13 15:26:04 (Show Source): You can put this solution on YOUR website!``` Hi, Note: Midpoint Pt(x,y): ( , ) Midpoint (-2,-6) (x,y), (2,-3) x-2 = -2, x = 0 and y + 3 = -6, y = -9 coordinates (x,y) of the other endpoint of the segment are (0,-9) ```