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edjones answered: 7568 problems
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Probability-and-statistics/163064: assuming that boy and girl babies are equally likely, find the probability that a family with three children has all boys given that the first two are boys. 1 solutions Answer 120160 by edjones(7569)   on 2008-10-20 02:08:59 (Show Source): You can put this solution on YOUR website! 1/2

Age_Word_Problems/163067: Marge is twice as old as Consuelo. The sum of their ages seven years ago was 13. How old are they now? 1 solutions Answer 120159 by edjones(7569)   on 2008-10-20 02:07:47 (Show Source): You can put this solution on YOUR website! m=2c (m-7)+(c-7)=13 (2c-7)+(c-7)=13 substitute 2c for m. 2c-7+c-7=13 3c-14=13 3c=27 c=9 y.o. m=18 y.o. . Ed

Graphs/163053: can someone please help me with this: Solve the inequality and graph the solution. 5/(x-7)<6 1 solutions Answer 120158 by edjones(7569)   on 2008-10-20 02:00:27 (Show Source): You can put this solution on YOUR website! 5/(x-7)<6 5/(x-7)-6<0 You must convert to "<0" form before you begin solving. 5/(x-7) - 6(x-7)/(x-7) <0 Use a common denominator. (5-6x+42)/(x-7)<0 (-6x+47)/(x-7)<0 If -6x+47=0 then -6x=-47 and x=47/6=7.83333... 7.83333 is an inflection point. x cannot be 7 because the denominator would be 0. 7 is the other inflection point. When x<7 then 5/(x-7)-6<0 When then 5/(x-7)-6>0 When x>7.83333 then 5/(x-7)-6<0 X(-infinity, 7]U[7.83333..., infinity) Answer. A good explanation of this can be found on purplemath.com . Ed .

Radicals/162768: How will I go about simplifing these problem? 1) 3b[SQRT(27a^5b)] + 2a[SQRT(3a^3b^3)] 2) 3/[SQRT(5) - 2] And how can I solve this problem? 3) 1 solutions Answer 120011 by edjones(7569)   on 2008-10-18 19:00:20 (Show Source): You can put this solution on YOUR website! 1) 3b(27a^5b)^(1/2)+2a(3a^3b^3)^(1/2) 3b((3*9)a^5b)^1/2+... 9b(sqrt(3)a^2.5b^.5)+... 9sqrt(3)a^2.5b^1.5... ...2a(sqrt(3)a^1.5b^1.5) ...2sqrt(3)a^2.5b^1.5 =11sqrt(3)a^2.5b^1.5 . 2) 3/(sqrt(5)-2) = =(3sqrt(5)+6)/(5-4) =3sqrt(5)+6 . 3) x+4=x-4sqrt(x)+4 Square each side. -4sqrt(x)=0 16x=0 square each side x=0 replace x with zero in the equation. It is not an equation. There is no answer. . Ed

Graphs/162747: solve 0.3x+7 is less than or equal to 0.7x-4 1 solutions Answer 120005 by edjones(7569)   on 2008-10-18 18:19:13 (Show Source): You can put this solution on YOUR website! .3x+7<=.7x-4 -.4x<=-11 x>=-11/-.4 reverse the inequality sign when dividing by a negative number. x>=27.5 . Ed

Square-cubic-other-roots/162757: .0181102362=0.0073sqrt(x) 1 solutions Answer 120003 by edjones(7569)   on 2008-10-18 17:42:06 (Show Source): You can put this solution on YOUR website! .0181102362=0.0073sqrt(x) 3.28057657219*10^-4=x(5.329*10-5) Square each side. x=3.28057657219*10-5/5.329*10-5 x=6.15608 . Ed

Equations/162806: This question is from textbook algergra tools for a changing world x/4 + 3x/5 = 17 I tried 16x/20 = 629 1 solutions Answer 119999 by edjones(7569)   on 2008-10-18 17:26:58 (Show Source): You can put this solution on YOUR website! x/4 + 3x/5 = 17 5x+12x=340 Multiply each side by 20. 17x=340 x=20 . Ed

Quadratic_Equations/162789: Can I please get help with: (12)/(3x-2)+(5)/(x+4)=1 Thanks you. 1 solutions Answer 119986 by edjones(7569)   on 2008-10-18 16:19:18 (Show Source): You can put this solution on YOUR website! (12)/(3x-2)+(5)/(x+4)=1 12(x+4)+5(3x-2)=(3x-2)(x+4) multiply each side by the LCM to eliminate fractions. 12x+48+15x-10=3x^2+10x-8 27x+38=3x^2+10x-8 3x^2-17x-46=0 Subtract the left side from the right. 3*-46=-138 factors of -138 that add up to -17: 6 & -23 3x^2+6x-23x-46=0 3x(x+2)-23(x+2)=0 Factoring by grouping. (easier) (3x-23)(x+2)=0 x=-2, x=23/3 . Ed

Inequalities/162585: 4n-6>6n-20 1 solutions Answer 119849 by edjones(7569)   on 2008-10-17 01:28:07 (Show Source): You can put this solution on YOUR website! 4n-6>6n-20 -2n>-14 n<7 Whenever you divide or multiply by a negative number (-2) you have to reverse the inequality sign. . Ed

Percentage-and-ratio-word-problems/162618: A company has brought 3.4 acres of land out of the 4 acres of land that it plans to buy. What percent of the land has the company already bought? First, solve the problem with either a picture, a percent diagram, or both, explaining your reasoning. Then, solve the problem by setting up and solving an equation. 1 solutions Answer 119848 by edjones(7569)   on 2008-10-17 01:23:16 (Show Source): You can put this solution on YOUR website! 3.4/4=.85=85% it has already bought. . Ed

Polynomials-and-rational-expressions/162601: taking this math class online and having tons of problems. thanks for your help remove and factor by 1 3w-27/3w -33+11w/5 / 9w-27/25 solve for y y-6/y+6=4/7 3- a-17/a+5=a^2-3/a+5 1 solutions Answer 119847 by edjones(7569)   on 2008-10-17 01:20:54 (Show Source): You can put this solution on YOUR website! (y-6)/(y+6)=4/7 I assume that this is the problem. 7(y-6)=4(y+6) Multiply each side by the LCM 7(y+6) to eliminate the fractions. 7y-42=4y+24 3y=66 y=22 . All the other problems are similar to this. Just eliminate the fractions by multiplying by the LCM and solve them. . Ed

Percentage-and-ratio-word-problems/162615: If 36,000 people make up 15% of a population, then what is the total population? First, solve the problem with the aid of either a picture, a percent diagram, or both, explaining your reasoning. Then, solve the problem by setting up and solving an equation. 1 solutions Answer 119846 by edjones(7569)   on 2008-10-17 01:06:13 (Show Source): You can put this solution on YOUR website! .15x=36000 x=36000/.15 x=240,000 total population . Ed

Angles/162548: two angles are supplementary. one angle is 42 degrees less then the other one. find the measure of both angles 1 solutions Answer 119845 by edjones(7569)   on 2008-10-17 00:59:40 (Show Source): You can put this solution on YOUR website! Let the larger angle be x and the smaller y. . A) x=y+42 B) x+y=180 . A) x-y=42 B) x+y=180 -----------add ==>2x=222 x=111 y=69 . Ed

Radicals/162121: sqrt y-5 + sqrt y = 5 1 solutions Answer 119561 by edjones(7569)   on 2008-10-15 03:31:07 (Show Source): You can put this solution on YOUR website! sqrt(y-5)+sqrt(y)=5 2sqrt(y^2-5y)+2y-5=25 square each side 2sqrt(y^2-5y)=30-2y 4(y^2-5y)=4y^2-120y+900 square each side 4y^2-20y=4y^2-120y+900 100y=900 y=9 . Ed

Quadratic_Equations/162143: This question is from Algebra II, by Bob Jones University. It is in the chapter titled, "Quadratic Equations and Inequalities. In the lesson we were to "solve for x." I have the answer and I have tried many times to work the problem backwards, but I am missing something. Can you please explain this problem to me? 5x^3-39x^2+27x+7=0 x= -1/5,7,1 1 solutions Answer 119560 by edjones(7569)   on 2008-10-15 03:05:18 (Show Source): You can put this solution on YOUR website! 5x^3-39x^2+27x+7=0 The graph of the formula above shows possible zeroes at 1 and 7 and a third between 0 and -1. 5-39+27+7=0 so x=1 5*343-39*49+27*7+7=0 so x=7 (x-1)(x-7)=x^2-8x+7 (5x^3-39x^2+27x+7)/(x^2-8x+7)=5x+1 (long division) 5x+1=0 5x=-1 x=-1/5 . Ed

Linear_Equations_And_Systems_Word_Problems/162094: This question is from textbook One number is 2 larger than another number. If two times the larger number is added to three times the smaller number, the result is 19. Find both numbers 1 solutions Answer 119559 by edjones(7569)   on 2008-10-15 02:19:45 (Show Source): You can put this solution on YOUR website! x=y+2 2x+3y=19 . 2(y+2)+3y=19 2y+4+3y=19 5y+4=19 5y=15 y=3 x=5 . Ed

Linear_Algebra/162095: This question is from textbook algebra 2 Please help me solve this equation: Solve the equation by comleting the square. x^+4x=1 1 solutions Answer 119558 by edjones(7569)   on 2008-10-15 02:14:13 (Show Source): You can put this solution on YOUR website! x^2+4x=1 x^2+4x+4=1+4 To complete the square (b/2)^2=c. (4/2)^2=4. Add 4 to each side. (x+2)^2=5 x+2=+-sqrt(5) x=-2+-sqrt(5) . Ed

Polynomials-and-rational-expressions/162232: Find the product of -4x(5x^4-3x+7). Thank you. 1 solutions Answer 119557 by edjones(7569)   on 2008-10-15 02:01:02 (Show Source): You can put this solution on YOUR website! -4x(5x^4-3x+7) -20x^5+12x^2-28x

Square-cubic-other-roots/162239: cuberoot of sqrt36sqrt49 expression form not decimal please show how you get the answer i am so confused 1 solutions Answer 119556 by edjones(7569)   on 2008-10-15 01:54:35 (Show Source): You can put this solution on YOUR website! (sqrt(36)sqrt(49))^(1/3) (6*7)^1/3 42^(1/3) . Ed

Exponents/161858: -6 I'm working on expression using only positive exponents . I have 7p I think the answer is 1 _________ 12 -12 7p6 does this look correct? Also Y . Y 24 I think that answer is Y Am I right in my thinking? 1 solutions Answer 119357 by edjones(7569)   on 2008-10-14 01:18:03 (Show Source): You can put this solution on YOUR website! . add exponents put another way: . Ed

Percentage-and-ratio-word-problems/161862: Vet clinic brought in 75 dogs for treatment. 40 had fleas, 27 had ticks and 14 had both ticks and fleas. How many had fleas but not ticks? How many had ticks but not fleas? How many dogs had neither ticks nor fleas? 1 solutions Answer 119356 by edjones(7569)   on 2008-10-14 01:07:43 (Show Source): You can put this solution on YOUR website! 40f 27t 14ft these are included in each of the categories above. . 40-14=26 had fleas but not ticks. 27-14=13 had ticks but not fleas. 75-40-27=8 had neither ticks nor fleas. . Ed

Travel_Word_Problems/161852: Two trains leave the same station and travel in opposite directions. One is traveling east at 56 mph, and the other is traveling west at 70 mph. In how many hours will they be 1080 miles apart? a. 6 hours b. 10 hours c. 8 hours d. 12 hours 1 solutions Answer 119355 by edjones(7569)   on 2008-10-14 00:57:04 (Show Source): You can put this solution on YOUR website! 56+70=126 mi/h 1080/126=8.57... In 8.57... hrs they will be 1080 mi apart. . Ed

Miscellaneous_Word_Problems/161841: a sprinter has a bad start and his opponent is able to start 1 second before him if the sprinter averages 8.2 meters per sec. and his opponent averages 8 meters per sec., will he be able to catch his opponent before the end of the 200 meter race? 1 solutions Answer 119354 by edjones(7569)   on 2008-10-14 00:47:44 (Show Source): You can put this solution on YOUR website! st=d t=d/s . t=200/8.2=24.39 25.39 sec time with the bad start . t=200/8=25 sec opponent's time . 25.39-25=.39 sec time the man with the slow start loses the race by. . Ed

Inequalities/161938: This question is from textbook pre-algebra what is the inequality in this problem? c+8 divided by four is less than 5-c divided by 9 1 solutions Answer 119353 by edjones(7569)   on 2008-10-14 00:32:48 (Show Source): You can put this solution on YOUR website! (c+8)/4<(5-c)/9 9(c+8)<4(5-c) multiply each side by 36 (LCM). 9c+72<20-4c 13c<-52 c<-4 . Ed

Word_Problems_With_Coins/161941: How do I make change for $1.00 using 10 coins (quarters, dimes, nickels and pennies only)? 1 solutions Answer 119352 by edjones(7569)   on 2008-10-14 00:22:11 (Show Source): You can put this solution on YOUR website! 3*.25=.75 2*.10=.20 5*.01=.05 . Ed

Geometry_Word_Problems/161961: This question is from textbook Algebra Structure and Method Book The lengths of the sides of a triangle are consecutive even integers. Find the length of the longest side if it is 22 units shorter than the permiter. 1 solutions Answer 119350 by edjones(7569)   on 2008-10-14 00:15:45 (Show Source): You can put this solution on YOUR website! Let the sides be s, s+2, and s+4 P=s+s+2+s+4=3s+6 3s+6=s+4+22 3s+6=s+26 2s=20 s=10 s+4=14 the longest side. . Ed

Travel_Word_Problems/160228: john is traveling to a meeting that is 28 miles away.he needs to be there in 30 minutes.how fast does he need to go to make it on time 1 solutions Answer 118151 by edjones(7569)   on 2008-10-03 17:48:25 (Show Source): You can put this solution on YOUR website! 28*2=56 mph

Money_Word_Problems/160212: How much interest is charged on a student loan if $7,500 is borrowed for 20 months at a 8.4% annual interest rate? 1 solutions Answer 118150 by edjones(7569)   on 2008-10-03 17:47:02 (Show Source): You can put this solution on YOUR website! .084/12=.007 monthly rate 7500*.007*20=$1,050. . Ed

logarithm/160061: This question is from textbook An ant is roughly 10^- 3 meters in length and the average human 1.7 meters. How many times longer is a human than an ant? 1 solutions Answer 118089 by edjones(7569)   on 2008-10-02 22:56:45 (Show Source): You can put this solution on YOUR website! 10^-3=1/10^3=1/1000 . 1.7 / 1/1000 =1.7*1000=1700 times bigger . Ed

Functions/160113: can someone please help me with this problem: Evaluate the function at the given value of the independent variable and simplify. f(x) = -5x + 8; f(-3) 1 solutions Answer 118085 by edjones(7569)   on 2008-10-02 22:49:15 (Show Source): You can put this solution on YOUR website! f(3)=-5*3 + 8 =-15+8 =-7 . Ed

Angles/160090: always sometimes or never 2 complemetary angles form a linear pair 1 solutions Answer 118083 by edjones(7569)   on 2008-10-02 22:47:31 (Show Source): You can put this solution on YOUR website! Never. They add up to 90 degrees.