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jim_thompson5910 answered: 28586 problems
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Equations/654712: -5(9x-2)-4 how do you apply the distributive property and then simplify this problem? 1 solutions Answer 408986 by jim_thompson5910(28598)   on 2012-09-21 23:47:37 (Show Source): You can put this solution on YOUR website! -5(9x-2)-4 -5(9x)-5(-2)-4 -45x+10-4 -45x+6 So the answer is -45x+6

Quadratic_Equations/654681: find the least common multiple of 48, 60, 75 1 solutions Answer 408985 by jim_thompson5910(28598)   on 2012-09-21 23:45:26 (Show Source): You can put this solution on YOUR website! First, list the prime factorization of each number. If you need help with prime factorization, check out this solver. 48: 2*2*2*2*3 60: 2*2*3*5 75: 3*5*5 Now highlight the unique factors. Remember, highlight the factors that occur most frequently 48: 2*2*2*2*3 60: 2*2*3*5 75: 3*5*5 Now multiply all of the highlighted factors 2*2*2*2*3*5*5=1200 So the LCM of 48, 60, and 75 is 1200

Graphs/654704: how do i suppose to do problems like 2m+1 less than 13 1 solutions Answer 408984 by jim_thompson5910(28598)   on 2012-09-21 23:43:30 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

Probability-and-statistics/654702: I'm confused with how a number like 42.3 fits into a stem and leaf plot. I put the 4 into the stem part and the 2 in the leaf part but didn't know what to do with the decimal. 1 solutions Answer 408983 by jim_thompson5910(28598)   on 2012-09-21 23:42:33 (Show Source): You can put this solution on YOUR website! Only one digit goes in the "leaf" part per number. So 42.3 would be written as 42 | 3

Rectangles/654693: if the area of a square is 81 how do i find the lenghth??? 1 solutions Answer 408982 by jim_thompson5910(28598)   on 2012-09-21 23:40:48 (Show Source): You can put this solution on YOUR website! A = s^2 81 = s^2 s^2 = 81 s = sqrt(81) s = 9 So the side length is 9 units

Points-lines-and-rays/655203: Find a formula that expresses the fact that P(x, y) is a distance 3 from the origin. Describe the set of all such points. This is a circle of radius , with a center at (x, y) = 1 solutions Answer 408981 by jim_thompson5910(28598)   on 2012-09-21 23:38:55 (Show Source): You can put this solution on YOUR website! This is a circle of radius 3, with a center at (0,0)

expressions/655198: Find the value of I given that p=500, r=0.11, and t=2 1 solutions Answer 408980 by jim_thompson5910(28598)   on 2012-09-21 23:37:26 (Show Source): You can put this solution on YOUR website! If you're talking about simple interest then I = p*r*t I = 500*0.11*2 I = 110

Equations/655214: R=w-b(2c+b) solve for w 1 solutions Answer 408979 by jim_thompson5910(28598)   on 2012-09-21 23:36:13 (Show Source): You can put this solution on YOUR website!

Equations/655215: ay+7-x=3x+4 solve for y 1 solutions Answer 408977 by jim_thompson5910(28598)   on 2012-09-21 23:35:04 (Show Source): You can put this solution on YOUR website!

Radicals/655220: Square root (8x+1) =5 Please show work on how to solve for x 1 solutions Answer 408975 by jim_thompson5910(28598)   on 2012-09-21 23:33:33 (Show Source): You can put this solution on YOUR website!

Equations/655145: i have no clue how to work out this math problem . -3(5x+5)-x=38 May You help me please? 1 solutions Answer 408957 by jim_thompson5910(28598)   on 2012-09-21 18:04:12 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Combine like terms on the left side. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

Matrices-and-determiminant/655139: I really don't know how to or do this stuff since our teacher makes use do it on the graphing calculator at school. Heres a few using the cramer rule what is x-5y=-1 -2x+5y=-3 1 solutions Answer 408951 by jim_thompson5910(28598)   on 2012-09-21 17:19:35 (Show Source): You can put this solution on YOUR website! Solved by pluggable solver: Using Cramer's Rule to Solve Systems with 2 variables First let . This is the matrix formed by the coefficients of the given system of equations. Take note that the right hand values of the system are and which are highlighted here: These values are important as they will be used to replace the columns of the matrix A. Now let's calculate the the determinant of the matrix A to get . Remember that the determinant of the 2x2 matrix is . If you need help with calculating the determinant of any two by two matrices, then check out this solver. Notation note: denotes the determinant of the matrix A. --------------------------------------------------------- Now replace the first column of A (that corresponds to the variable 'x') with the values that form the right hand side of the system of equations. We will denote this new matrix (since we're replacing the 'x' column so to speak). Now compute the determinant of to get . Once again, remember that the determinant of the 2x2 matrix is To find the first solution, simply divide the determinant of by the determinant of to get: So the first solution is --------------------------------------------------------- We'll follow the same basic idea to find the other solution. Let's reset by letting again (this is the coefficient matrix). Now replace the second column of A (that corresponds to the variable 'y') with the values that form the right hand side of the system of equations. We will denote this new matrix (since we're replacing the 'y' column in a way). Now compute the determinant of to get . To find the second solution, divide the determinant of by the determinant of to get: So the second solution is ==================================================================================== Final Answer: So the solutions are and giving the ordered pair (4, 1) Once again, Cramer's Rule is dependent on determinants. Take a look at this 2x2 Determinant Solver if you need more practice with determinants.

Equations/654845: 3x-6+x + 25=39 find the value of x. 1 solutions Answer 408868 by jim_thompson5910(28598)   on 2012-09-21 00:22:32 (Show Source): You can put this solution on YOUR website! Start with the given equation. Combine like terms on the left side. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

Equations/654869: how do you find the slope of each line ex; y=3x-2 1 solutions Answer 408867 by jim_thompson5910(28598)   on 2012-09-21 00:21:50 (Show Source): You can put this solution on YOUR website! y=3x-2 is in the form y = mx+b where m is the slope In this case, m = 3. So the slope is 3.

Polynomials-and-rational-expressions/654898: a(b+c) 1 solutions Answer 408866 by jim_thompson5910(28598)   on 2012-09-21 00:20:09 (Show Source): You can put this solution on YOUR website! a(b+c) = ab+ac

percentage/654889: 235 acres or 15% of a forest is being logged. How large is the forest 1 solutions Answer 408864 by jim_thompson5910(28598)   on 2012-09-20 23:56:03 (Show Source): You can put this solution on YOUR website! 0.15x = 235 x = 235/0.15 x = 1566.7 So the forest is roughly 1566.7 acres

Equations/654729: How to solve 5x+2(x+1)=23 1 solutions Answer 408834 by jim_thompson5910(28598)   on 2012-09-20 19:38:41 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Combine like terms on the left side. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

Inequalities/654689: What is the solution to this inequality? x - 9 < -5 1 solutions Answer 408833 by jim_thompson5910(28598)   on 2012-09-20 19:18:15 (Show Source): You can put this solution on YOUR website! x - 9 < -5 x - 9+9 < -5+9 x + 0 < 4 x < 4 So the solution is x < 4

Linear-equations/654629: What is the slop of a line that passes through (7, -2) and (-1, -5) 1 solutions Answer 408810 by jim_thompson5910(28598)   on 2012-09-20 17:38:03 (Show Source): You can put this solution on YOUR website! Note: is the first point . So this means that and . Also, is the second point . So this means that and . Start with the slope formula. Plug in , , , and Subtract from to get Subtract from to get Reduce So the slope of the line that goes through the points and is

Rate-of-work-word-problems/654548: ashley makes 105 in seven hours how much does she make in four hours 1 solutions Answer 408766 by jim_thompson5910(28598)   on 2012-09-20 15:31:51 (Show Source): You can put this solution on YOUR website! 105/7 = x/4 15 = x/4 15*4 = x 60 = x x = 60 So she makes $60 in four hours.

test/654549: Algebra help!! (2x-3)^4 1 solutions Answer 408764 by jim_thompson5910(28598)   on 2012-09-20 15:29:59 (Show Source): You can put this solution on YOUR website! Look at Row 5 in Pascals triangle: 1, 4, 6, 4, 1 These are the coefficients to the terms (2x)^4*(-3)^0 (2x)^3*(-3)^1 (2x)^2*(-3)^2 (2x)^1*(-3)^3 (2x)^0*(-3)^4 Note: you basically raise the first piece to the 4th power and the second piece to the 0th power. Then you count down on the first exponent and count up on the second exponent. so we get 1*(2x)^4*(-3)^0 4*(2x)^3*(-3)^1 6*(2x)^2*(-3)^2 4*(2x)^1*(-3)^3 1*(2x)^0*(-3)^4 which simplifies to 1*(16x^4)*(1) 4*(8x^3)*(-3) 6*(4x^2)*(9) 4*(2x^1)*(-27) 1*(1)*(81) and that simplifies to 16x^4 -96x^3 216x^2 -216x 81 Now add up the terms to get 16x^4 - 96x^3 + 216x^2 - 216x + 81 So (2x-3)^4 = 16x^4 - 96x^3 + 216x^2 - 216x + 81 for all values of x

Signed-numbers/654527: I am one of the tutors and was given a problem at work...it is as follows 4 x 4 + 4 x 4 + 4 - 4 x 4 = ? I was always taught multiplication and division were higher functions than addtition and subtraction and should be done first. so the answer is 20...the local physicist did the problem and said there is no difference and the answer is 320. Who is correct...and thanks I hope I am not wasting anyone's time with something like this. Since all the tutors have very strong math background or teach math, I hope that this will prove to be the best resource. 1 solutions Answer 408753 by jim_thompson5910(28598)   on 2012-09-20 14:52:49 (Show Source): You can put this solution on YOUR website! 4 x 4 + 4 x 4 + 4 - 4 x 4 = 16 + 16 + 4 - 16 4 x 4 + 4 x 4 + 4 - 4 x 4 = 32 + 4 - 16 4 x 4 + 4 x 4 + 4 - 4 x 4 = 36 - 16 4 x 4 + 4 x 4 + 4 - 4 x 4 = 20 So you are correct. If you use grouping symbols (like parenthesis or brackets), then the answer will change.

Numeric_Fractions/654486: What is n in this problem? 7(n-4)-(3-5n)=11n 1 solutions Answer 408746 by jim_thompson5910(28598)   on 2012-09-20 13:05:54 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Combine like terms on the left side. Add to both sides. Subtract from both sides. Combine like terms on the left side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

Angles/654472: Okay I am working in Geometry and am slightly confused the question is. Two supplementary angles are in a ratio of 1:8. Find the measures of the two angles... the equation is x+8x=180 and i worked it out as if i was solving for x but since i needed two angles i divided the final answer in half which of course left me with the angles equaling 10 but it didn't seem right to me. I am a bit lost on how to do this. Please do explain and help as must as you can. 1 solutions Answer 408735 by jim_thompson5910(28598)   on 2012-09-20 12:16:41 (Show Source): You can put this solution on YOUR website! Solve for x x+8x=180 9x=180 x = 180/9 x = 20 So x = 20 and 8x = 8*20 = 160 So the two angles are 20 and 160 degrees.

Angles/654452: what angle is made when a clock reads 8 o'clock? 1 solutions Answer 408730 by jim_thompson5910(28598)   on 2012-09-20 11:40:25 (Show Source): You can put this solution on YOUR website! Let the distance around the clock (from 12 to 12) be 12 units. The distance from 8 to 12 (in a clockwise fashion) is then 4 units (since 12 - 8 = 4) So if the circumference of the clock is 12 units, and the hands subtend an arc that is 4 units, then the hands cut off 4/12 = 1/3 of the circumference. There are 360 degrees in a circle. So the hands make an angle of 360*(1/3) = 360/3 = 120 degrees

test/654444: Divide using synthetic division x^3 - x^2 - 6x + 5 by x + 2 1 solutions Answer 408728 by jim_thompson5910(28598)   on 2012-09-20 11:29:08 (Show Source): You can put this solution on YOUR website! Use synthetic division to get So remainder 5 or

Functions/654393: Parent function f(x)=IxI, describe the transformations on f(x+2)-6 1 solutions Answer 408725 by jim_thompson5910(28598)   on 2012-09-20 11:13:12 (Show Source): You can put this solution on YOUR website! f(x) is the original function f(x+2) shifts the original graph 2 units to the left f(x+2)-6 shifts that last result 6 units down.

Graphs/654446: SOLVE THE INEQUALITY. GRAPH THE SOLUTION SET AND WRITE IT IN INTERVAL NOTATION m-2(m+3)<2m 1 solutions Answer 408724 by jim_thompson5910(28598)   on 2012-09-20 11:11:30 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Distribute. Combine like terms on the left side. Add to both sides. Subtract from both sides. Combine like terms on the left side. Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number. Reduce. ---------------------------------------------------------------------- Answer: So the solution is The answer in interval notation is then

Functions/654445: EVALUATE THE FUNCTION f(x)=-4x-3; f(-3) 1 solutions Answer 408723 by jim_thompson5910(28598)   on 2012-09-20 11:09:18 (Show Source): You can put this solution on YOUR website! f(x)=-4x-3 f(-3)=-4(-3)-3 f(-3)=12-3 f(-3) = 9

Coordinate-system/654441: FIND THE UNKNOWN COORDINATE SO THAT THE ORDERED PAIR IS A SOLUTION TO THE GIVEN EQUATION y=4/5x+2 (?,5) 1 solutions Answer 408722 by jim_thompson5910(28598)   on 2012-09-20 11:05:01 (Show Source): You can put this solution on YOUR website! y=4/5x+2 5=4/5x+2 5-2 = 4/5x 3 = 4/5x 3*5 = 4x 15 = 4x 15/4 = x x = 15/4

Angles/654443: What is the measurement of the supplement if the measure of the angle is eleven times greater than its supplement? 1 solutions Answer 408721 by jim_thompson5910(28598)   on 2012-09-20 11:03:09 (Show Source): You can put this solution on YOUR website! 11x + x = 180 12x = 180 x = 180/12 x = 15 11x = 11*15 11x = 165 So the angle is 165 degrees and the supplement is 15 degrees.