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Recent problems solved by 'jim_thompson5910'

jim_thompson5910 answered: 28465 problems
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Equations/551819: 2n2-3b,if n =3 and b= 1 1 solutions Answer 359943 by jim_thompson5910(28476)   on 2012-01-02 14:23:51 (Show Source): You can put this solution on YOUR website! 2n^2-3b 2(3)^2-3(1) 2(9)-3(1) 18-3 15 So 2n^2-3b = 15 when n=3 and b= 1

Probability-and-statistics/551818: How many ways can five women and two men can be seated on a chair if only three seats? 1 solutions Answer 359942 by jim_thompson5910(28476)   on 2012-01-02 14:22:48 (Show Source): You can put this solution on YOUR website! There are 5+2 = 7 people total and P(7,3) = (7!)/(7-3)! = (7!)/(4!) = 5040/24 = 210 ways to seat all of them in 3 seats (assuming order matters). If order doesn't matter, then there are C(7,3) = (P(7,3))/(3!) = 210/6 = 35 different ways to seat them.

Radicals/551790: √98+√32x-√2+√50x 1 solutions Answer 359941 by jim_thompson5910(28476)   on 2012-01-02 14:17:15 (Show Source): You can put this solution on YOUR website! √98+√32x-√2+√50x 7√2+4√2x-√2+5√2x 6√2+9√2x

Equations/551817: Solve for x in the equation: 8(2x-3)= -16 1 solutions Answer 359940 by jim_thompson5910(28476)   on 2012-01-02 14:15:32 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

test/551816: Given p is true, q is false, and r is false, find the truth value of the statement (q^~r)-->~p 1 solutions Answer 359939 by jim_thompson5910(28476)   on 2012-01-02 14:15:00 (Show Source): You can put this solution on YOUR website! (q^~r)-->~p (F ^ ~F)--> ~T (F ^ T)--> F F --> F T So truth value is True.

Angles/551815: The measure of an angle is (50-n).What is the measure of the complemnt of the angle? 1 solutions Answer 359938 by jim_thompson5910(28476)   on 2012-01-02 14:14:07 (Show Source): You can put this solution on YOUR website! The complement of angle x is 90-x, so the complement of 50-n is 90-(50-n) which simplifies to 40 + n

Linear-systems/547475: 2x+y=5 2x+y=1 1 solutions Answer 359937 by jim_thompson5910(28476)   on 2012-01-02 14:13:17 (Show Source): You can put this solution on YOUR website! Start with the given system of equations: Multiply the both sides of the second equation by -1. Distribute and multiply. So we have the new system of equations: Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this: Group like terms. Combine like terms. Simplify. Since is never true, this means that there are no solutions. So the system is inconsistent.

Equations/546603: how do i do the problem 4(2z-5)=7(z+5) 1 solutions Answer 359936 by jim_thompson5910(28476)   on 2012-01-02 14:12:14 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Add to both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. ---------------------------------------------------------------------- Answer: So the solution is

absolute-value/546952: what is |25-3x|=5 1 solutions Answer 359935 by jim_thompson5910(28476)   on 2012-01-02 14:11:26 (Show Source): You can put this solution on YOUR website! |25-3x|=5 25-3x=5 or 25-3x=-5 -3x=-20 or -3x=-30 x=20/3 or x=10

absolute-value/548250: 11/4 1 solutions Answer 359934 by jim_thompson5910(28476)   on 2012-01-02 14:10:16 (Show Source): You can put this solution on YOUR website! 11/4 = 2.75

Probability-and-statistics/551814: how to find the probability of the question a box contains 6red pencils and 4 blue pencils. donnie randomly picks a pencils and keeps it. then cory randomly picks a pencil from the box. What is the probabilty that both boys will pick a red pencils? 1 solutions Answer 359933 by jim_thompson5910(28476)   on 2012-01-02 14:08:29 (Show Source): You can put this solution on YOUR website! P(both red) = (6/10)*(5/9) = 30/90 = 1/3

Numbers_Word_Problems/551813: How represent this question: three times a number less than five is thirty two and solve it 1 solutions Answer 359932 by jim_thompson5910(28476)   on 2012-01-02 14:07:32 (Show Source): You can put this solution on YOUR website! "three times a number less than five is thirty two" translates to Start with the given equation. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

logarithm/551203: f(x)=2x+8, Find f>-1(3) 1 solutions Answer 359931 by jim_thompson5910(28476)   on 2012-01-02 14:05:51 (Show Source): You can put this solution on YOUR website! f(x)=2x+8 y=2x+8 x=2y+8 x-8=2y (x-8)/2=y y=(x-8)/2 f^(-1)(x) = (x-8)/2 f^(-1)(3) = (3-8)/2 f^(-1)(3) = -5/2

Complex_Numbers/551692: can you PLEASE!!! help me solve (5-6i)(1-i) thankyou :) 1 solutions Answer 359930 by jim_thompson5910(28476)   on 2012-01-02 14:03:57 (Show Source): You can put this solution on YOUR website! Start with the given expression. FOIL. Multiply. Replace with . Note: . Multiply. Combine like terms. So . So the expression is now in standard form where and

Travel_Word_Problems/551811: A car travels 89 miles east in 22 minutes. What is the velocity in miles per hour? You do not need to include the units in the answer but you must include the direction. 1 solutions Answer 359924 by jim_thompson5910(28476)   on 2012-01-02 13:51:12 (Show Source): You can put this solution on YOUR website! 60 min = 1 hr 1 min = 1/60 hr 22 min = 22/60 hr 22 min = 11/30 hr Velocity = 89/(11/30) = 2670/11 = 242.73 mph east

test/551810: 1 solutions Answer 359923 by jim_thompson5910(28476)   on 2012-01-02 13:48:38 (Show Source): You can put this solution on YOUR website! Please post the full problem along with the full instructions.

Expressions-with-variables/551809: the second of two numbers is 4 more than the first. the sum of the numbers is 56. 1 solutions Answer 359921 by jim_thompson5910(28476)   on 2012-01-02 13:47:26 (Show Source): You can put this solution on YOUR website! "the second of two numbers is 4 more than the first" ---> "the sum of the numbers is 56" ---> ---------------- -------- So the two numbers are 26 and 30

Numeric_Fractions/551807: what is 60% of 300? 1 solutions Answer 359919 by jim_thompson5910(28476)   on 2012-01-02 13:45:46 (Show Source): You can put this solution on YOUR website! 60% of 300 = 0.6*300 = 180

Polynomials-and-rational-expressions/551804: Simplify -(ab3)^3 1 solutions Answer 359918 by jim_thompson5910(28476)   on 2012-01-02 13:42:46 (Show Source): You can put this solution on YOUR website! -(ab^3)^3 -a^3b^9

Word_Problems_With_Coins/551805: there are a total of 26 nickels and dimes in a bank. the value equals $1.65. how many dimes are in the bank? 1 solutions Answer 359915 by jim_thompson5910(28476)   on 2012-01-02 13:41:39 (Show Source): You can put this solution on YOUR website! 26*0.05 + 0.10x = 1.65 1.30 + 0.10x = 1.65 0.10x = 1.65 - 1.30 0.10x = 0.35 x = 0.35/(0.10) x = 3.5 Since we got a non-integer value, this means that we cannot get $1.65 in the bank. So there must be a typo.

Polynomials-and-rational-expressions/551803: Simplify (-g)^3(-g)^2 1 solutions Answer 359911 by jim_thompson5910(28476)   on 2012-01-02 13:33:10 (Show Source): You can put this solution on YOUR website! (-g)^3(-g)^2 (-g^3)(g^2) -g^5 So (-g)^3(-g)^2 = -g^5 for every value of 'g'

Polynomials-and-rational-expressions/551467: Simplify: (2y)(-3y^4)^3 1 solutions Answer 359910 by jim_thompson5910(28476)   on 2012-01-02 13:32:26 (Show Source): You can put this solution on YOUR website! (2y)(-3y^4)^3 (2y)(-27y^12) -54y^13 So (2y)(-3y^4)^3 = -54y^13 for all values of y

Polynomials-and-rational-expressions/551802: Simplify (3a^2b)(-3ab)^3 1 solutions Answer 359909 by jim_thompson5910(28476)   on 2012-01-02 13:31:11 (Show Source): You can put this solution on YOUR website! (3a^2b)(-3ab)^3 (3a^2b)(-27a^3b^3) -81a^5b^4 So (3a^2b)(-3ab)^3 = -81a^5b^4 for all values of a and b

Polynomials-and-rational-expressions/551510: Megan factored the expression 28x^2 + x - 15 as (4x-3)(7x+5). But when Jacob applied the FOIL principle and multiplied out (4x-3)(7x+5), he got 28x^2 - x - 15; thus, Megan’s solution does not appear to check. Why is that? Please help Megan to understand this better. Explain your reasoning and correctly factor the original expression, if possible. If the expression is prime, so state. 1 solutions Answer 359908 by jim_thompson5910(28476)   on 2012-01-02 13:30:39 (Show Source): You can put this solution on YOUR website! Looking at the expression , we can see that the first coefficient is , the second coefficient is , and the last term is . Now multiply the first coefficient by the last term to get . Now the question is: what two whole numbers multiply to (the previous product) and add to the second coefficient ? To find these two numbers, we need to list all of the factors of (the previous product). Factors of : 1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420 -1,-2,-3,-4,-5,-6,-7,-10,-12,-14,-15,-20,-21,-28,-30,-35,-42,-60,-70,-84,-105,-140,-210,-420 Note: list the negative of each factor. This will allow us to find all possible combinations. These factors pair up and multiply to . 1*(-420) = -420 2*(-210) = -420 3*(-140) = -420 4*(-105) = -420 5*(-84) = -420 6*(-70) = -420 7*(-60) = -420 10*(-42) = -420 12*(-35) = -420 14*(-30) = -420 15*(-28) = -420 20*(-21) = -420 (-1)*(420) = -420 (-2)*(210) = -420 (-3)*(140) = -420 (-4)*(105) = -420 (-5)*(84) = -420 (-6)*(70) = -420 (-7)*(60) = -420 (-10)*(42) = -420 (-12)*(35) = -420 (-14)*(30) = -420 (-15)*(28) = -420 (-20)*(21) = -420 Now let's add up each pair of factors to see if one pair adds to the middle coefficient : First Number Second Number Sum 1 -420 1+(-420)=-419 2 -210 2+(-210)=-208 3 -140 3+(-140)=-137 4 -105 4+(-105)=-101 5 -84 5+(-84)=-79 6 -70 6+(-70)=-64 7 -60 7+(-60)=-53 10 -42 10+(-42)=-32 12 -35 12+(-35)=-23 14 -30 14+(-30)=-16 15 -28 15+(-28)=-13 20 -21 20+(-21)=-1 -1 420 -1+420=419 -2 210 -2+210=208 -3 140 -3+140=137 -4 105 -4+105=101 -5 84 -5+84=79 -6 70 -6+70=64 -7 60 -7+60=53 -10 42 -10+42=32 -12 35 -12+35=23 -14 30 -14+30=16 -15 28 -15+28=13 -20 21 -20+21=1 From the table, we can see that the two numbers and add to (the middle coefficient). So the two numbers and both multiply to and add to Now replace the middle term with . Remember, and add to . So this shows us that . Replace the second term with . Group the terms into two pairs. Factor out the GCF from the first group. Factor out from the second group. The goal of this step is to make the terms in the second parenthesis equal to the terms in the first parenthesis. Combine like terms. Or factor out the common term =============================================================== Answer: So factors to . In other words, . Note: you can check the answer by expanding to get or by graphing the original expression and the answer (the two graphs should be identical).

Polynomials-and-rational-expressions/551797: Simplify (3a^2b)(-3ab)^3 1 solutions Answer 359907 by jim_thompson5910(28476)   on 2012-01-02 13:29:56 (Show Source): You can put this solution on YOUR website! (3a^2b)(-3ab)^3 (3a^2b)(-27a^3b^3) -81a^5b^4 So (3a^2b)(-3ab)^3 = -81a^5b^4 for all values of a and b

Equations/551509: subtract. show all of your work. be sure your answer is simplified -5/10 - 5/10 1 solutions Answer 359904 by jim_thompson5910(28476)   on 2012-01-02 13:17:39 (Show Source): You can put this solution on YOUR website! -5/10 - 5/10 (-5-5)/10 -10/10 -1 So -5/10 - 5/10 = -1

Equations/551511: multiply. show all of your work and be sure your answer is in simplest form -7/8.-12 1 solutions Answer 359903 by jim_thompson5910(28476)   on 2012-01-02 13:16:55 (Show Source): You can put this solution on YOUR website! -7/8*-12 = (-7*-12)/8 = 84/8 = 21/2

Equations/551478: Solve -11 -(x+30)=41-2(5x-18) 1 solutions Answer 359902 by jim_thompson5910(28476)   on 2012-01-02 13:15:58 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Combine like terms on the left side. Combine like terms on the right side. Add to both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . ---------------------------------------------------------------------- Answer: So the solution is

Equations/551522: simplify. please show all of the steps to arrive at your answer 12.4^3-3^2+11 1 solutions Answer 359901 by jim_thompson5910(28476)   on 2012-01-02 13:15:13 (Show Source): You can put this solution on YOUR website! 12*4^3-3^2+11 12*64-9+11 768-9+11 770 So 12*4^3-3^2+11 = 770

Equations/551513: divide -72/8 1 solutions Answer 359900 by jim_thompson5910(28476)   on 2012-01-02 13:14:20 (Show Source): You can put this solution on YOUR website! -72/8 = -9

Equations/551524: simplify. please show all of your work -2x+3-(-7-x) 1 solutions Answer 359899 by jim_thompson5910(28476)   on 2012-01-02 13:14:01 (Show Source): You can put this solution on YOUR website! -2x+3-(-7-x) -2x+3+7+x -x+10