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# Recent problems solved by 'edjones'

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 Volume/206707: Solve the problem. Use 3.14 for π. Round to the nearest tenth, if necessary. A cylindrical container has a diameter of 10 in. and a volume of 549.5 in^2. What is the height of the container?1 solutions Answer 156243 by edjones(7569)   on 2009-08-14 01:25:43 (Show Source): You can put this solution on YOUR website!pi*r^2*h=V 3.14*5^2*h=549.5 78.5h=549.5 h=7 in . Ed
 Quadratic_Equations/206715: solve for x by splitting the middle term. 10x^2 +3bx + a^2 - 7ax - b^21 solutions Answer 156242 by edjones(7569)   on 2009-08-14 01:20:48 (Show Source): You can put this solution on YOUR website!there is no equation.
 Probability-and-statistics/206709: If P(A)=7/36,P(B)=1/6 and P(A and B) = 0, what can you say about P(A or B)? Does that mean that they are equal? I really do not know on this.Please help.1 solutions Answer 156241 by edjones(7569)   on 2009-08-14 01:15:54 (Show Source): You can put this solution on YOUR website!P(A or B) =7/36 + 6/36 =13/36 . Ed
 Probability-and-statistics/206711: 14 people arrive at a meeting. If each person shakes hands with each other person, how many handshakes are there? I am thinking that I just multiply 14x13x12, but I cant remember.Please help.1 solutions Answer 156240 by edjones(7569)   on 2009-08-14 01:12:27 (Show Source): You can put this solution on YOUR website!13+12+11+10+9+8+7+6+5+4+3+2+1=91
 Rectangles/206539: A rectangular park is 70 yards wide and 120 yards long. Give the length and width of another rectangular park that has the same perimeter but a smaller area. 1 solutions Answer 156114 by edjones(7569)   on 2009-08-13 00:42:03 (Show Source): You can put this solution on YOUR website!70*120=8400 yds^2 P=190 yds . 60*130=7800 yds^2 P=190 yds . Ed
 Money_Word_Problems/206265: Maria has d dollars in her savings account. In the summer, her weekly expenses, e, are greater than her weekly salary, s. If she makes up the difference from her savings, how many weeks will her savings last? A) d/e-s B) d/s-e C) s/e-d D) e-s/d E) e-d/s1 solutions Answer 155966 by edjones(7569)   on 2009-08-12 03:16:37 (Show Source): You can put this solution on YOUR website!A) d/(e-s)
 Travel_Word_Problems/206374: On a trip, you are k miles from your destination at 4 P.M. and y miles away from your destination 2 hours later. how far have you traveled in the two hours? 978007611023-0 1-11 solutions Answer 155964 by edjones(7569)   on 2009-08-12 03:06:32 (Show Source): You can put this solution on YOUR website!k-y miles
 Linear_Algebra/206403: rene is 5 older than angie, in 8 years 3 times angie's age will exceed twice rene's age by 10.find their ages.1 solutions Answer 155963 by edjones(7569)   on 2009-08-12 03:04:16 (Show Source): You can put this solution on YOUR website!Let r=rene's age and a=angies. r=a+5 . 3(a+8)=2(r+8)+10 3a+24=2r+16+10 3a+24=2r+26 3a+24=2(a+5)+26 Replace r with a+5 3a+24=2a+10+26 a=12 r=17 . Ed
 Radicals/206025: solve and check for extraneous solutions: natural logarithms (In)square root (x-3)=11 solutions Answer 155781 by edjones(7569)   on 2009-08-11 01:58:16 (Show Source): You can put this solution on YOUR website!In(sqrt(x-3))=1 e^(In(sqrt(x-3)))=e^1 sqrt(x-3)=e x-3=e^2 square each side. x=e^2+3 . Ed
 Quadratic_Equations/206066: Hi, Im having problems trying to solve these rational equations. its a extraneous solution. Can you help please. 5/y-3 = y+7/2y-6 + 11 solutions Answer 155780 by edjones(7569)   on 2009-08-11 01:46:04 (Show Source): You can put this solution on YOUR website!5/y-3 = y+7/2y-6 + 1 5/y-3 = y+7/2(y-3) + 1 10=y+7+2(y-3) Multiply each side of the equation by 2(y-3) to eliminate fractions. y+7+2y-6=10 3y+1=10 3y=9 y=3 . Now we replace y with 3 in the original equation and find that 5/y-3 becomes 5/3-3=5/0. Since division by zero is not allowed then y=3 is an extraneous answer. There is no answer. . Ed
 Functions/206165: find the domain and explain f(x)=cuberoot x+41 solutions Answer 155779 by edjones(7569)   on 2009-08-11 01:30:20 (Show Source): You can put this solution on YOUR website!The domain is all real numbers. . Ed
 Numeric_Fractions/206216: A jar contains 30 jelly beans. 10 are red. New jelly beans that are not red will be added to make only 25% of the candy red. Which of the following equations would be used to determine N, the number of nonred beans needed? A) 10+N/30=25/10 B) 10N/30=25/100 C) 10/30+N=25/100 D) 10+N/30+N=25/100 E) 10/30N=25/1001 solutions Answer 155778 by edjones(7569)   on 2009-08-11 01:19:12 (Show Source): You can put this solution on YOUR website!C) 10/(30+n)=25/100 You should have used parentheses. n=10 . Ed
 Travel_Word_Problems/205963: 1. Ramesh walks at 5/6th of his usual speed and reaches school 4 minutes late. Find the usual time taken by him to reach school. 2. Rakesh runs at 5/4 of his usual speed and reaches the playground 5 minutes earlier. What is his usual time/ 3.Two trains 110m and 100m long are running on parallel tracks, in the same direction with a speed of 46 km/hr and 39 km/hr respectively. How long will it take them to be clear of each other? 4. A cyclist A started his journey on cycle at 7.30 a.m. at speed 8km/hr. B another cyclist started from the same point half an hour later but with speed 10 km/hr. At what time did B overtake A?1 solutions Answer 155575 by edjones(7569)   on 2009-08-09 14:13:39 (Show Source): You can put this solution on YOUR website!1. Let x=the time it takes to go to school at the usual speed 5x/6=4 x=4*6/5 =24/5 min. Time it takes to go to school at the usual speed. . Ed
 Probability-and-statistics/205992: This question is from textbook Can someone please help me with this problem: In a game of musical chairs, 11 children will sit in 10 chairs arranged in a row(one child will not find a chair). In how many ways can 10 of the children find seats? a. 39,916,800 b. 110 c. 39,916,940 d, 3,628,8001 solutions Answer 155573 by edjones(7569)   on 2009-08-09 13:50:45 (Show Source): You can put this solution on YOUR website!nPr =11P10 =n!/(n-r)! 11!/(11-10)! =39916800 The number of ways 10 of 11 children can be arranged. (permutation) . Ed
 Finite-and-infinite-sets/205993: This question is from textbook Can someone please help me with this problem: Find the odds in favor of the indicated event. Rolling a 4 with a fair die. a. 1 to 4 b. 1 to 5 c. 1 to 6 d. 2 to 31 solutions Answer 155572 by edjones(7569)   on 2009-08-09 13:36:57 (Show Source): You can put this solution on YOUR website!The chances are 1 in 6 the odds against are 5 to 1 The odds in favor are 1 to 5 . Ed
 Problems-with-consecutive-odd-even-integers/205839: This question is from textbook algebra 1 an integrated approach find the measure of an angle whose supplement is 7 times its complement. complete the remaining steps of the 5 step method1 solutions Answer 155571 by edjones(7569)   on 2009-08-09 13:32:41 (Show Source): You can put this solution on YOUR website!Let a= the angle. (180-a)=7(90-a) 180-a=630-7a 6a=450 a=75 degrees . Ed
 logarithm/205987: solve and check for extraneous solutions: In square root (x-3)=11 solutions Answer 155568 by edjones(7569)   on 2009-08-09 13:08:10 (Show Source): You can put this solution on YOUR website!sqrt(x-3)=1 x-3=1 square each side. x=4 . Ed
 Percentage-and-ratio-word-problems/205932: 2.)The denominator of a fraction is 4 less than the numerator. If the denominator is doubled and the numerator is increased by 6, the sum of the original fraction and the new one is 3. Find the original fraction.1 solutions Answer 155567 by edjones(7569)   on 2009-08-09 13:05:41 (Show Source): You can put this solution on YOUR website!Let d=denominator & n=numerator d=n-4 . n/d original fraction (n+6)/2d new fraction. n/d + (n+6)/2d = 3 2n+n+6=6d Multiply each side by 2d (LCM) to eliminate fractions. 3n+6=6d 3n+6=6(n-4) Substitute n-4 for d. 3n+6=6n-24 3n=30 n=10 d=6 . 10/6 original fraction . Ed
 Equations/205985: 5-4m=5..I am trying to learn algebra on my own can someone show me how to do this problem1 solutions Answer 155562 by edjones(7569)   on 2009-08-09 12:35:34 (Show Source): You can put this solution on YOUR website!5-4m=5 -4m=0 Add -5 to each side. m=0 Divide each side by -4 . Ed
 Geometry_Word_Problems/205980: The width of a rectangle is 2 ft less than the length. The area is 8ft^2. Find the length and the width.1 solutions Answer 155561 by edjones(7569)   on 2009-08-09 12:32:51 (Show Source): You can put this solution on YOUR website!L=w+2 wL=8 w(w+2)=8 w^2+2w-8=0 (w+4)(w-2)=0 w=2' L=4' . Ed
 Equations/205177: how do you solve 5/6x - 8/2x = x/41 solutions Answer 154963 by edjones(7569)   on 2009-08-03 18:45:32 (Show Source): You can put this solution on YOUR website!5x/6 - 8x/2 = x/4 I assume that this is the problem. 10x-48x=3x 7x-48x=0 -41x=0 x=0 . Ed
 Graphs/205277: What is the solution set of x/x+9>01 solutions Answer 154961 by edjones(7569)   on 2009-08-03 18:22:59 (Show Source): You can put this solution on YOUR website!x/(x+9)>0 First we have to find the inflection points in this expression. There is a vertical asymptote at x=-9 because division by zero is not allowed. There is a horizontal asymptote at y=1 because x is 1st degree on the top and bottom. . Testing around the vertical asymptote and zero: When is less than -9, y is always positive because the numerator and denominator are always both negative. When x is more than -9 and less than zero then the expression is negative. When x is greater than zero the expression is always positive. . X(-infinity, -9)U(0,infinity) The solution set. . Ed .
 Exponential-and-logarithmic-functions/205254: Solve for x: x(5^x) + 8(5^x)=01 solutions Answer 154951 by edjones(7569)   on 2009-08-03 17:30:09 (Show Source): You can put this solution on YOUR website!x(5^x) + 8(5^x)=0 Let 5^x=y xy+8y=0 xy=-8y x=-8 divide each side by y . Ed
 Distributive-associative-commutative-properties/183614: This question is from textbook Saxon Math Course How do you find the area of a rectangle with the side lengths: x+2 and x+41 solutions Answer 154948 by edjones(7569)   on 2009-08-03 17:17:50 (Show Source): You can put this solution on YOUR website!L*w=A (x+2)*(x+4) =x^2+6x+8 Area . Ed
 Equations/205206: I need help with this equation please: Supposed to solve the equation and check for extraneous solutions. 3√(w+1)=6 Thanks1 solutions Answer 154902 by edjones(7569)   on 2009-08-03 01:21:14 (Show Source): You can put this solution on YOUR website!3sqrt(w+1)=6 sqrt(w+1)=2 w+1=4 Square each side. w=3 . Ed
 absolute-value/205165: |2x + 6| - 4 = 20 Thanks i need help solving 1 solutions Answer 154901 by edjones(7569)   on 2009-08-03 01:17:47 (Show Source): You can put this solution on YOUR website!|2x + 6| - 4 = 20 |2x+6|=24 . 2x+6=24 2x=18 x=9 . 2x+6=-24 2x=-30 x=-15 . Ed
 Proportions/205170: To determine the number of deer in a game preserve, a conservationist catches 892 deer, tags them and lets them loose. Later, 312 deer are caught; 156 of them are tagged. How many deer are in the preserve?1 solutions Answer 154900 by edjones(7569)   on 2009-08-03 01:13:00 (Show Source): You can put this solution on YOUR website!We have a proportion. Let x=the number of deer in the preserve. x/312=892/156 x=1784 . Ed
 Equations/205204: Need help with this equation please. I am supposed to simplify this equation and rewrite with positive exponents. (-27x^9 )^(1/3) Thanks1 solutions Answer 154899 by edjones(7569)   on 2009-08-03 01:02:30 (Show Source): You can put this solution on YOUR website!(-27x^9 )^(1/3) =(-3^3x^9)^(1/3) =-3x^3 Divide the exponents by 3. . Ed
 Percentage-and-ratio-word-problems/205197: respected sir, could you plz help me to solvethis % problem.. 1]A merchant sells an item at a 20% discount ,making a gross profit of 20% of the cost.what % of the cost would the gross profit on the item have been if it had been sold without the discount? waiting for your reply. thank u. regards Binita1 solutions Answer 154898 by edjones(7569)   on 2009-08-03 00:55:51 (Show Source): You can put this solution on YOUR website!Let's make the price before the discount 1.00 With the 20% discount it sells for 1.00*.20=.80 On the .80 there is a 20% profit. Therefore .8*.2=.16 is profit. And .80-.16=.64 is the cost. With the original price of 1.00 less the cost of .64 the profit is .36 .36/1.00=36% gross profit . Ed
Rational-functions/205193: Given a zero x=2, of the polynomial: x^3-4x^2+21x-34=0, find the others.
Did I do this right?
x(x^2-4x+21)-34=0
x(x-7)(x+3)-34=0
x= -7 x= -3
If I am off base, can you show the correct way to do this problem? Thank you
1 solutions

Answer 154896 by edjones(7569)   on 2009-08-03 00:30:53 (Show Source):
You can put this solution on YOUR website!
x-2=0 since 2 is a zero.
(x^3-4x^2+21x-34)/(x-2) Long division
=x^2-2x+17
x^2-2x+17=0
x=1+4i, x=1-4i The other 2 zeros. Quadratic formula (see below)
.
Ed
.
 Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . The discriminant -64 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -64 is + or - . The solution is Here's your graph:

 Polynomials-and-rational-expressions/204948: Multiply [3a-(2a-3)][3a+(2a-3)]1 solutions Answer 154808 by edjones(7569)   on 2009-08-02 00:49:40 (Show Source): You can put this solution on YOUR website![3a-(2a-3)][3a+(2a-3)] =(3a-2a+3)(3a+2a-3) =(a+3)(5a-3) =5a^2+12a-9 . Ed