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# Recent problems solved by 'ewatrrr'

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 Travel_Word_Problems/636536: If you drive 40mph, how far will you drive in 4 1/2 hours?1 solutions Answer 401081 by ewatrrr(10682)   on 2012-08-11 10:54:25 (Show Source): You can put this solution on YOUR website! ``` Hi, If you drive 40mph, how far will you drive in 4 1/2 hours? Note: D = rt ```
 Miscellaneous_Word_Problems/636537: The volume of a shipping box in a cubic feet can be expressed as the polynomial 2x^3+11x^2+17x+6. Each dimension of the box can be expressed as a linear equations with integer coefficients. Which expression could represent one of the three dimensions of the box?1 solutions Answer 401080 by ewatrrr(10682)   on 2012-08-11 10:50:15 (Show Source): You can put this solution on YOUR website! ``` Hi, 2x^3+11x^2+17x+6 | Note IF x = -2, ⇒ -16 + 44 - 34 + 6 = 0 (x+2) one factor , could represent one of the three dimensions of the box ```
 Systems-of-equations/636528: Solve the equations: -3x-2y+3z=-1 2x+5y-3z=-6 4x+3y+3z=22 1 solutions Answer 401079 by ewatrrr(10682)   on 2012-08-11 10:44:42 (Show Source): You can put this solution on YOUR website! ``` Hi, -3x-2y+3z= -1 0r ) 2x+5y-3z= -6 -x+ 3y = -7 0r 4x+3y+3z= 22 2x+5y-3z = -6 6x + 8y = 16 -x+ 3y = -7 |multiplying 1st EQ by 6 and adding to 2nd EQ to eliminate x 6x+ 8y = 16 26y = -26 y = -1 and x = 4 and z = 3 ```
 Expressions-with-variables/636520: Solve the system by the method of substitution x+y+3z=-4 -x-y-2z=5 2x-z=-31 solutions Answer 401076 by ewatrrr(10682)   on 2012-08-11 10:29:56 (Show Source): You can put this solution on YOUR website! ``` Hi, x+y+3z= -4 0r -x-y-2z= 5 z = 1 2x-z=-3 2x-1 = -3 2x = -2 x = -1 and y = -6 and... ```
 Quadratic_Equations/636516: A)Apply the quadratic formula to find the roots (x-intercepts) of the given function. B)Graph the function – You will also need to find the vertex of each parabola, and most likely additional points to complete the graph. Label the roots (if plot-able) and the vertex with their ordered pairs 1. f(x)= x^2+ 4 2. g(x)= x^2+ x+ 121 solutions Answer 401074 by ewatrrr(10682)   on 2012-08-11 10:19:09 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: 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 1. f(x)= x^2+ 4 | parabola opeing UPward, V(0,4), doesNOT cross x-axis 2. , parabola opeing UPward, V(-1/2,11.75), doesNOT cross x-axis ```
 Age_Word_Problems/636507: Billy is twice as old as his son. in 10 years, the ratio of their ages will be 3:5. find their present ages1 solutions Answer 401072 by ewatrrr(10682)   on 2012-08-11 10:04:42 (Show Source): You can put this solution on YOUR website! ``` Hi, Billy is twice as old as his son's age ( Billy's age now being 2x) in 10 years, the ratio of their ages will be 3:5 Question states*** Cross Multiplying to solve for x 5(x+10) = 3(2x+10) 5x + 50 = 6x + 30 20 = x, son' age NOW, Billy is NOW 40 and...in 10 years ```
 Polynomials-and-rational-expressions/636442: find all the roots: x^3-11x^2-25x-13=01 solutions Answer 401070 by ewatrrr(10682)   on 2012-08-11 09:53:53 (Show Source): You can put this solution on YOUR website! ``` Hi, find all the roots: x^3-11x^2-25x-13=0 |Note x = -1 as root: -1 -11 +25 -13 = 0 (x+1) a factor: Using synthetic division -1 1 -11 -25 -13 -1 12 13 1 -12 -13 0 Yields: x^2 - 12x - 13 = 0 (x-13)(x+1) = 0 x = 13 or x = -1 x^3-11x^2-25x-13=0 = (x+1)(x+1)(x-13) Roots are: -1, -1, 13 ```
 Age_Word_Problems/636319: Five students sit around a circular table. Their chairs are numbered in order from 1 through . Abby sits next to both Ben and colin .Dalia sits next to both ben and Sarah. The numbers on abbys and colins chairs add up to 6. Who sits in chair number 3?1 solutions Answer 400917 by ewatrrr(10682)   on 2012-08-10 11:24:34 (Show Source): You can put this solution on YOUR website! ``` Hi, In a circle...it would be C,S,D,B,A WITH A + C = 6, Dahlia in the number 3 chair ```
 Polynomials-and-rational-expressions/636325: I have about 7 questions for my finals out of 66 could anyone please help me. Questions: 1) Evaluate the polynomial for x=-3 3x^2-3x+6 when x=____? When x=-3, 3x^2-3x+6=______? (Simplify) 2) Find the following. square root of 16 at the top of the tip of the little line √(-7)^16 (Simplify) 3) Divide. (20b^3+7b^2+22b+27)÷ (4b+3) Choose the correct answer below a) 5b^2+2b+7 b) 5b^2-2b-7-6/4b+3 c) 5b^2-2b+7+6/4b+3 d) 5b+7 4) Add. (2x^2-9xy+y^2) + (-6x^2-6xy-y^2) + (x^2+xy-4y^2) The answer is________? 5) Simplify by removing factors of 1 m^2-49 ______ = (m+7)2 The simplified form is _____? "its supposed to look m^2-49 over (m+7)2 =" 6) For the following equation, state the value of the discriminant and then describe the nature of the solutions. 6x^2-5x+1=0 What is the value of the discriminant? Which one of the statements below is correct? a) The equation has one real solution b) The equation has two imaginary solutions c) The equation has two real solutions 7) Find all numbers for which the rational expression is undefined The numbers for which the rational expression is undefined are____? (Use a comma to separate answers) t^3-3t ______ It should look like t^3-3t over t^2-9 t^2-9 1 solutions Answer 400916 by ewatrrr(10682)   on 2012-08-10 11:07:00 (Show Source): You can put this solution on YOUR website! ``` Hi, look it over ... 1) 2) 3) 4b+3 |(20b^3+7b^2+22b+27 4) (2x^2-9xy+y^2) + (-6x^2-6xy-y^2) + (x^2+xy-4y^2) -3x^2 - 14xy - 4y^2 5) 6) 6x^2-5x+1=0 = ±1, 2 real roots 7) Denominator CANNOT = 0, underfined for x = ± 3 ```
 Linear-equations/636174: Write the equation of the line contining the given points perpendicular to y= 2x-1, contains (2,7)1 solutions Answer 400908 by ewatrrr(10682)   on 2012-08-10 10:42:17 (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. perpendicular to y= 2x-1 ( m = 2), contains (2,7) New Line: Note: negative reciprocal of 2 y = (-1/2)x + b 7 = (-1/2)·2 + b |Using ordered pair (x,y): (2,7) to solve for b 8 = b y = (-1/2)x + 8 ```
 Linear-equations/636324: What is the equation of the line passing through (0, 2) and perpendicular to the line y = 4x – 3 in slope-intercept form? 1 solutions Answer 400907 by ewatrrr(10682)   on 2012-08-10 10:37:30 (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 passing through (0, 2) and perpendicular to the line y = 4x – 3, m = 4 New Line: Note: negative reciprocal of 4 y = (-1/4)x + b 2 = (-1/4)·0 + b |Using ordered pair (x,y): (0,2) to solve for b 2 = b y = (-1/4)x + 2 ```
 Polygons/636320: Given A = {1,2,3,4,5,6}, B = {1,2}, and C = {6, 7}. Evaluate each set a) A ∩ B b) A U C c) B U C d) (A U B) ∩ C e) A U (B U C) f) (A ∩ B) ∩ C g) (A ∩ B) U C1 solutions Answer 400904 by ewatrrr(10682)   on 2012-08-10 10:09:02 (Show Source): You can put this solution on YOUR website! ``` Hi, A = {1,2,3,4,5,6} B = {1,2} C = {6, 7} a) A ∩ B {1,2} b) A U C {1,2,3,4,5,6,7} c) B U C {1,2,6,7} d) (A U B) ∩ C {6} e) A U (B U C) {1,2,3,4,5,6,7} f) (A ∩ B) ∩ C { } g) (A ∩ B) U C {1,2,6,7} ```
 Expressions-with-variables/636286: 2y+xy1 solutions Answer 400903 by ewatrrr(10682)   on 2012-08-10 10:02:54 (Show Source): You can put this solution on YOUR website! ``` Hi, factor following expression 2y + xy = y(2+x) ```
 Equations/636290: Factorize: x^2-x-20=01 solutions Answer 400902 by ewatrrr(10682)   on 2012-08-10 10:01:10 (Show Source): You can put this solution on YOUR website! ``` Hi, Factorize: x^2-x-20=0 (x-5)(x+4)= 0 x = 5 0r x = -4 May check factoring Using FOIL F First terms x^2 O Outside terms 4x I Inside terms -5x L Last terms -20 ```
 test/636282: 1 solutions Answer 400901 by ewatrrr(10682)   on 2012-08-10 09:58:08 (Show Source): You can put this solution on YOUR website!inquiry did not post.
 test/636289: 1 solutions Answer 400900 by ewatrrr(10682)   on 2012-08-10 09:57:41 (Show Source): You can put this solution on YOUR website!inquiry did not post.
 test/636300: 1 solutions Answer 400899 by ewatrrr(10682)   on 2012-08-10 09:57:16 (Show Source): You can put this solution on YOUR website!inquiry did not post.
 test/636287: 1 solutions Answer 400898 by ewatrrr(10682)   on 2012-08-10 09:56:50 (Show Source): You can put this solution on YOUR website! inquiry did not post.
 Polynomials-and-rational-expressions/636316: Im not sure how im suppose to get the answer for this equation. It says, Solve for X if X is a positive number. x^2 + x = 61 solutions Answer 400897 by ewatrrr(10682)   on 2012-08-10 09:53:58 (Show Source): You can put this solution on YOUR website! ``` Hi, x^2 + x = 6 x^2 + x - 6 =0 by factoring (x + 3)(x-2) = 0 x = -3 or x = 2 may check factoring Using FOIL F First terms O Outside terms I Inside terms L Last terms ```
 Travel_Word_Problems/636315: Susan can clean the house in 3 hours. Her husband Mike can clean the house in 5 hours. How long will it take for both working together to clean the house? 1 solutions Answer 400896 by ewatrrr(10682)   on 2012-08-10 09:51:30 (Show Source): You can put this solution on YOUR website! ``` Hi, Susan can clean the house in 3 hours. Her husband Mike can clean the house in 5 hours. How long will it take for both working together to clean the house? Question states*** PER hour is Key |Multiplying thru by 15x so as all denominators = 1 5x + 3x = 15 8x = 15 x = 15/8 = 1.875 hr ```
 Probability-and-statistics/636317: A 4 sided die is rolled, a 1 occurs 27.2% of the time, a 2 occurs 26.3% of the time, a 3 occurs 23.1% of the time, and a 4 occurs 23.4% of the time. Find E(X)? would this be 1(.272)+2(.263)+3(.231)+4(.234)? Please help! thank you so much1 solutions Answer 400895 by ewatrrr(10682)   on 2012-08-10 09:47:28 (Show Source): You can put this solution on YOUR website! ``` Hi, Yes. Good work. E(X) = ```
 Linear_Equations_And_Systems_Word_Problems/636312: I'm not sure if this is the right category, but here's the word problem. "The population of butterflies in a local pasture is 60 in January 2010. In March 2010, the population of butterflies is 80. The population P of butterflies can be modeled by the equation P=ab^t where t is the number of months since January 2010 and a and b are constants. A. Find the values of a and b in the model P=ab^t B. According to the model, what will the population of butterflies be in January 2011? C. According to the model, when will the population reach 200?1 solutions Answer 400894 by ewatrrr(10682)   on 2012-08-10 09:43:20 (Show Source): You can put this solution on YOUR website! ``` Hi, , where t is the number of months since January 2010 (Jan 2010 t = 0, Feb t = 1, etc) The population of butterflies in a local pasture is 60 in January 2010. a = 60 In March 2010, the population of butterflies is 80: 80 = 60b^2 , B. According to the model, what will the population of butterflies be in January 2011? t = 12 C. According to the model, when will the population reach 200? = t = 8.38 or in the 9th month ```
 Geometry_proofs/636250: An electronics store surveyed every 11th customer who came into the store for a week. Of the 375 people who responded, 181 people watched movies on VHS tapes. 245 people watched movies on DVDs. 66 people watched movies both on VHS tapes and DVDs. Create a Venn diagram to reflect the above data, label your diagram clearly and submit to the Dropbox. Use your diagram to answer the following questions here. i. Of those surveyed, how many watched only VHS tapes? ii. Of those surveyed, how many watched only DVDs? iii. Of those surveyed, how many watched VHS tapes or DVDs, but not both? iv. Of those surveyed, how many watched VHS tapes or DVDs, or both? 1 solutions Answer 400892 by ewatrrr(10682)   on 2012-08-10 09:19:58 (Show Source): You can put this solution on YOUR website! ``` Hi, Of the 375 people who responded 181 people watched movies on VHS tapes. 245 people watched movies on DVDs. 66 people watched movies both on VHS tapes and DVDs. i. Of those surveyed, how many watched only VHS tapes? 115 ii. Of those surveyed, how many watched only DVDs? 179 iii. Of those surveyed, how many watched VHS tapes or DVDs, but not both? 294 iv. Of those surveyed, how many watched VHS tapes or DVDs, or both? 360 ```
 Triangles/636307: What is the surface area of the following rectangular prism? Express your answer in square inches. 3ft 6in and 8in1 solutions Answer 400891 by ewatrrr(10682)   on 2012-08-10 08:55:42 (Show Source): You can put this solution on YOUR website! ``` Hi, 36" by 6" by 8" Surface Area = = 1104in^2 ```
 logarithm/636303: What is the log_1/9 of sq.rt 3? What is the log_sq.rt 10 of (0.000001)?1 solutions Answer 400889 by ewatrrr(10682)   on 2012-08-10 08:50:22 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: and = -1/4 as and as ```
 Pythagorean-theorem/636302: One leg of a right triangle is 7cm shorter than the other leg. It's area is 30cm^2. Find its perimeter.1 solutions Answer 400885 by ewatrrr(10682)   on 2012-08-10 08:18:58 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: One leg of a right triangle is 7cm shorter than the other leg. Question states*** area is 30cm^2 || 60 = x(x - 7) x^2 - 7x - 60 = 0 (x - 12)(x + 5) = 0 || Tossing out negative solution for unit measure x = 12cm and y = 5cm Applying the Pythagorean Theorem: P = 12cm + 5cm + 13cm = 30cm ```
 Percentage-and-ratio-word-problems/636225: A dress normally selling for \$60 was on sale for \$48. What was the percent discount? 1 solutions Answer 400880 by ewatrrr(10682)   on 2012-08-10 07:51:49 (Show Source): You can put this solution on YOUR website! ``` Hi, Paid = .80 0r 80%, dress was 20% off ```
 Numbers_Word_Problems/636238: four is greater than six times a number t.1 solutions Answer 400879 by ewatrrr(10682)   on 2012-08-10 07:49:47 (Show Source): You can put this solution on YOUR website! ``` Hi, four is greater than six times a number t. Write as we Read: 4 > 6t ```
 Radicals/636261: Please help me solve [[[ (7sqrt (7) + 10 sqrt(5))(8 sqrt (7) +4 sqrt(5)) ]]]]1 solutions Answer 400878 by ewatrrr(10682)   on 2012-08-10 07:48:08 (Show Source): You can put this solution on YOUR website! ``` Hi, F First terms O Outside terms I Inside terms L Last terms ```
 Sequences-and-series/636277: Which of the following are the terms of sequence – 33, –26, –19, – 12.............? Indicate all such terms1 solutions Answer 400875 by ewatrrr(10682)   on 2012-08-10 07:33:59 (Show Source): You can put this solution on YOUR website! ``` Hi, {– 33, –26, –19, – 12, ...} Artitmetic Sequence, d = 7 = -33 = -26 = -19 = -12 ```
 Permutations/636253: What is the Five digIt nUmber we can make using the digits 5,4,0,8 ? 1 solutions Answer 400872 by ewatrrr(10682)   on 2012-08-10 06:37:17 (Show Source): You can put this solution on YOUR website! ``` Hi, 5 - digit numbers using the 4 digits: 5, 4 , 0, 8 (first digit cannot be zero) There are = 768 of them ```