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jim_thompson5910 answered: 28493 problems
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test/698373: If the intreset value of saving $ 24000 is $ 6000 for a period of 5 years, then find the rate of interest per year. 1 solutions Answer 430709 by jim_thompson5910(28504)   on 2013-01-04 19:07:35 (Show Source): You can put this solution on YOUR website! I = Prt 6000 = 24000*r*5 6000 = 120000r 6000/120000 = r r = 6000/120000 r = 6/120 r = 1/20 r = 0.05 So the interest rate is 5%

Quadratic_Equations/698472: 2x-8x+14=0 1 solutions Answer 430702 by jim_thompson5910(28504)   on 2013-01-04 18:36:39 (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

Angles/698467: find measurement of angle A(6x+7) and m of angle B(3x+20) if angle A and angle B are complementary 1 solutions Answer 430691 by jim_thompson5910(28504)   on 2013-01-04 18:06:19 (Show Source): You can put this solution on YOUR website! angle A and angle B are complementary m angle A + m angle B = 90 6x+7 + 3x+20 = 90 9x+27=90 9x=90-27 9x=63 x=(63)/(9) x=7 Angle A: 6x+7 = 6(7)+7 = 49 degrees Angle B: 3x+20 = 3(7)+20 = 41 degrees

Angles/698464: Find measurement of angle A (6x+7) and measurement of angle B (3x+20) if angle A and angle B are supplementary. 1 solutions Answer 430689 by jim_thompson5910(28504)   on 2013-01-04 17:49:25 (Show Source): You can put this solution on YOUR website! angle A and angle B are supplementary m angle A + m angle B = 180 6x+7 + 3x+20 = 180 9x+27=180 9x=180-27 9x=153 x=(153)/(9) x=17 Angle A: 6x+7 = 6(17)+7 = 109 degrees Angle B: 3x+20 = 3(17)+20 = 71 degrees

Money_Word_Problems/698457: Jerome paid $85 for a calculator. He had no one-dollar bills or coins. How many ways could he have paid if he had no bills more than $20? 1 solutions Answer 430678 by jim_thompson5910(28504)   on 2013-01-04 17:02:10 (Show Source): You can put this solution on YOUR website! There are 25 ways to do this 1 five + 4 twenties = 5 bills total 1 five + 2 tens + 3 twenties = 6 bills total 1 five + 4 tens + 2 twenties = 7 bills total 3 fives + 1 ten + 3 twenties = 7 bills total 1 five + 6 tens + 1 twenty = 8 bills total 3 fives + 3 tens + 2 twenties = 8 bills total 5 fives + 3 twenties = 8 bills total 1 five + 8 tens = 9 bills total 3 fives + 5 tens + 1 twenty = 9 bills total 5 fives + 2 tens + 2 twenties = 9 bills total 3 fives + 7 tens = 10 bills total 5 fives + 4 tens + 1 twenty = 10 bills total 7 fives + 1 ten + 2 twenties = 10 bills total 5 fives + 6 tens = 11 bills total 7 fives + 3 tens + 1 twenty = 11 bills total 9 fives + 2 twenties = 11 bills total 7 fives + 5 tens = 12 bills total 9 fives + 2 tens + 1 twenty = 12 bills total 9 fives + 4 tens = 13 bills total 11 fives + 1 ten + 1 twenty = 13 bills total 11 fives + 3 tens = 14 bills total 13 fives + 1 twenty = 14 bills total 13 fives + 2 tens = 15 bills total 15 fives + 1 ten = 16 bills total 17 fives = 17 bills total Again, there are 25 ways. Each case has the bills' value adding up to $85.

Money_Word_Problems/698447: 6% of $340 is what amount? 1 solutions Answer 430661 by jim_thompson5910(28504)   on 2013-01-04 15:57:39 (Show Source): You can put this solution on YOUR website! 6% of 340 = (6/100)*340 6% of 340 = (0.06)*340 6% of 340 = 20.40 So 6% of $240 is $20.40

Vectors/698444: how would find the 17th term of the arithmetic sequence. if a16= 18, and d= 1/2 1 solutions Answer 430658 by jim_thompson5910(28504)   on 2013-01-04 15:43:50 (Show Source): You can put this solution on YOUR website! a17 = a16 + d a17 = 18 + 1/2 a17 = 36/2 + 1/2 a17 = 37/2

Coordinate-system/698439: Name two points on the x-axis that are 10 units from (1, 8) 1 solutions Answer 430651 by jim_thompson5910(28504)   on 2013-01-04 15:12:16 (Show Source): You can put this solution on YOUR website! Equation of the circle centered at (1,8) that has a radius of 10: (x-1)^2 + (y-8)^2 = 100 You plug in y = 0 and solve for x (x-1)^2 + (y-8)^2 = 100 (x-1)^2 + (0-8)^2 = 100 (x-1)^2 + (-8)^2 = 100 (x-1)^2 + 64 = 100 (x-1)^2 = 100-64 (x-1)^2 = 36 x-1 = sqrt(36) or x-1 = -sqrt(36) x-1 = 6 or x-1 = -6 x = 6+1 or x = -6+1 x = 7 or x = -5 So the two points are (7, 0) and (-5, 0)

Circles/698438: If the segment connecting (−6, −5) and (4, −3) is the diameter of the circle, what are the coordinates for the center? 1 solutions Answer 430650 by jim_thompson5910(28504)   on 2013-01-04 15:06:50 (Show Source): You can put this solution on YOUR website! Average the corresponding endpoints X: (-6+4)/2 = -2/2 = -1 Y: (-5 + (-3) )/2 = -8/2 = -4 So the center is the point (-1, -4)

Expressions-with-variables/698436: (4u^2 - 1)/(u^3 - 16u) * (u^2 + 4u)/(2u - 1) The answer the book has is (2u + 1) / (u -4) It am a parent and I can't figure this out to explain to my homeschooled child. The chapter is multiplying and dividing rational expressions. 1 solutions Answer 430648 by jim_thompson5910(28504)   on 2013-01-04 15:03:34 (Show Source): You can put this solution on YOUR website! 4u^2 - 1 factors to (2u + 1)(2u - 1) using the difference of squares rule The second term "(2u - 1)" cancels with the last term "(2u - 1)" on the very right. -------------------------------------------------------------------------- u^3 - 16u factors to u(u^2 - 16) which further factors to u(u-4)(u+4) using the difference of squares rule -------------------------------------------------------------------------- u^2 + 4u factors to u(u + 4) Notice the last two final factorizations have a 'u' and a 'u+4' in common. They cancel =========================================================================== =========================================================================== =========================================================================== So after all of the factorizations and cancellations, we go from (4u^2 - 1)/(u^3 - 16u) * (u^2 + 4u)/(2u - 1) to ((2u - 1)(2u + 1))/(u(u-4)(u+4)) * (u(u+4))/(2u - 1) which simplifies to (2u + 1) / (u-4)

Linear-equations/698432: Determine the type of boundary line and shading for the graph of the inequality -3x + y > 6. Dashed line with shading on the side that includes the origin. Solid line with shading on the side that does not include the origin. Dashed line with shading on the side that does not include the origin. Solid line with shading on the side that includes the origin. 1 solutions Answer 430645 by jim_thompson5910(28504)   on 2013-01-04 14:46:24 (Show Source): You can put this solution on YOUR website! The inequality sign does NOT have a line under it. So the line isn't solid, so it must be dashed. The origin is not in the solution set because if you plug in (0,0) you get -3x + y > 6 -3(0) + 0 > 6 0 + 0 > 6 0 > 6 Which is false. So that shows why (0,0) is not in the solution set. So the origin is not in the shaded region. That points us to the answer of choice C

Linear-systems/698424: y = 3x-2 1 solutions Answer 430644 by jim_thompson5910(28504)   on 2013-01-04 14:39:01 (Show Source): You can put this solution on YOUR website! If you want to graph, then... Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is 3 and the run is 1. This means that to go from point to point, we can go up 3 and over 1 So starting at , go up 3 units and to the right 1 unit to get to the next point Now draw a line through these points to graph So this is the graph of through the points and

test/698425: If a trainis traveling at 65 miles per hour, what is the train traveling in feet per minute 1 solutions Answer 430643 by jim_thompson5910(28504)   on 2013-01-04 14:38:07 (Show Source): You can put this solution on YOUR website! 65 miles/hr * (1 hr/60 min) * (5280 ft/1 mile) 65*5280/60 ft/min 5,720 ft/min So 65 mph = 5,720 ft/min

Linear-systems/698428: y = 3x-2 1 solutions Answer 430642 by jim_thompson5910(28504)   on 2013-01-04 14:36:14 (Show Source): You can put this solution on YOUR website! Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is 3 and the run is 1. This means that to go from point to point, we can go up 3 and over 1 So starting at , go up 3 units and to the right 1 unit to get to the next point Now draw a line through these points to graph So this is the graph of through the points and

Functions/698327: Find f(-3) if f(x)=2x²-5 A. -23 B. 13 C. 1 D. -11 1 solutions Answer 430595 by jim_thompson5910(28504)   on 2013-01-04 04:12:07 (Show Source): You can put this solution on YOUR website! f(x) = 2x^2 - 5 f(-3) = 2(-3)^2 - 5 f(-3) = 2(9) - 5 f(-3) = 18 - 5 f(-3) = 13

sets-and-operations/698310: List the elements of the given set in roster notation {x|7-x=9;x,an integer} thank you 1 solutions Answer 430584 by jim_thompson5910(28504)   on 2013-01-03 23:17:19 (Show Source): You can put this solution on YOUR website! 7-x = 9 7 = 9 + x 7 - 9 = x -2 = x x = -2 So the set {x|7-x=9;x,an integer} is the same as the set { -2 } Since only the number -2 satisfies the equation 7 - x = 9

Geometry_Word_Problems/698259: The area and length of a rectangle are 30 square feet and 6 feet, respectively.What is the width of the rectange? 1 solutions Answer 430557 by jim_thompson5910(28504)   on 2013-01-03 19:58:30 (Show Source): You can put this solution on YOUR website! A = LW 30 = 6W 30/6 = W 5 = W W = 5 Width is 5 feet.

Equations/698253: This is on my son's homework and I keep getting an answer that doesn't make sense. 21(2-x)+12x = 44 When I distribute, I get 42-21x +12x = 44 Then, -21x+12x=2 -9x=2 x=-.2222 What are we doing wrong? 1 solutions Answer 430549 by jim_thompson5910(28504)   on 2013-01-03 19:08:46 (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 Since -0.22222... is equivalent to , you have the correct answer.

Rectangles/698073: Find the area of a rectangle with base of 9 inches and height of 2 ft 1 solutions Answer 430426 by jim_thompson5910(28504)   on 2013-01-03 00:19:53 (Show Source): You can put this solution on YOUR website! 2 ft = 24 inches Area = Base*Height A = bh A = 9*24 A = 216 square inches

Inequalities/698068: solve -5<2d-1<3 1 solutions Answer 430425 by jim_thompson5910(28504)   on 2013-01-02 23:58:50 (Show Source): You can put this solution on YOUR website! -5 < 2d-1 < 3 -5+1 < 2d-1+1 < 3+1 -4 < 2d < 4 -4/2 < 2d/2 < 4/2 -2 < d < 2 Answer: -2 < d < 2

test/698069: What's the slope for (-2,-4) and (2,4) 1 solutions Answer 430424 by jim_thompson5910(28504)   on 2013-01-02 23:57:41 (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

Length-and-distance/698023: Find the midpoint between points (-5,11) and (-4,8) 1 solutions Answer 430395 by jim_thompson5910(28504)   on 2013-01-02 20:27:39 (Show Source): You can put this solution on YOUR website! Average the x coordinates: (-5+(-4))/2 = -9/2 = -4.5 Average the y coordinates: (11+8)/2 = 19/2 = 9.5 So the midpoint is (-4.5, 9.5)

Proportions/697943: Solve the Proportion for x: x/8 = 5/3 1 solutions Answer 430365 by jim_thompson5910(28504)   on 2013-01-02 16:27:38 (Show Source): You can put this solution on YOUR website! x/8 = 5/3 x = 8(5/3) x = 40/3

Word_Problems_With_Coins/697933: Bjon has 5 coins with a total value of 50 cents. Not all of the coins are dimes. What are the coins? 1 solutions Answer 430359 by jim_thompson5910(28504)   on 2013-01-02 15:34:09 (Show Source): You can put this solution on YOUR website! You simply do this by trial and error. 3 nickels + 1 dime + 1 quarter = 5 coins total Value of 3 nickels: 3*5 = 15 cents Value of 1 dime: 1*10 = 10 cents Value of 1 quarter: 1*25 = 25 cents Total value = 3 nickels + 1 dime + 1 quarter Total value = 15 cents + 10 cents + 25 cents Total value = 50 cents So Bjon has 3 nickels, 1 dime, and 1 quarter.

Quadratic_Equations/697929: how to factor 4x^2-2x+7 1 solutions Answer 430346 by jim_thompson5910(28504)   on 2013-01-02 15:13:44 (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 : 1,2,4,7,14,28 -1,-2,-4,-7,-14,-28 Note: list the negative of each factor. This will allow us to find all possible combinations. These factors pair up and multiply to . 1*28 = 28 2*14 = 28 4*7 = 28 (-1)*(-28) = 28 (-2)*(-14) = 28 (-4)*(-7) = 28 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 28 1+28=29 2 14 2+14=16 4 7 4+7=11 -1 -28 -1+(-28)=-29 -2 -14 -2+(-14)=-16 -4 -7 -4+(-7)=-11 From the table, we can see that there are no pairs of numbers which add to . So cannot be factored. =============================================================== Answer: So doesn't factor at all (over the rational numbers). So is prime.

Numeric_Fractions/697927: 5 + 1 _ _ 3 5 1 solutions Answer 430345 by jim_thompson5910(28504)   on 2013-01-02 15:13:14 (Show Source): You can put this solution on YOUR website! 5/3 + 1/5 25/15 + 3/15 (25 + 3)/15 28/15 So 5/3 + 1/5 = 28/15 ------------------------------------------------------- Side Note: 5/3 = 25/15 after you multiply top and bottom by 5 1/5 = 3/15 after you multiply top and bottom by 3 We do this so the denominators are both equal to the LCD 15

test/697813: How do I figure out displacement? Ashley decides to go for a walk. She walks 5 blocks west, 2 blocks south, 5 blocks east and finally 2 blocks north. What is her total displacement? (Include direction, whether east, west, south, north, or n/a .) I'm working on homework and I've never learned this before. How would I go about figuring out the displacement? Is there a certain equation to use? Thank you so much!! 1 solutions Answer 430291 by jim_thompson5910(28504)   on 2013-01-02 01:32:43 (Show Source): You can put this solution on YOUR website! Draw a picture. Ideally, you'll use a coordinate grid to help you out. Start at any point you like. Then move 5 paces to the left. Move 2 paces down. Then move back 5 paces (you'll be directly under the starting point). Finally, move 2 paces back up. You should have ended up at the same spot you started from. This works no matter where you start. Of course, each 'pace' is the same distance. Use a ruler to make sure this is so. Since you end up in the same spot you started, your total displacement is 0 blocks. Displacement is how far you have gone if you only compare the starting and ending points. If the two points are different, then you'll have some positive displacement (the direct straight line distance from start to end). If the two points are the same, then the displacement is 0...ie, you haven't gone anywhere. Since you're second to last destination has you walking 2 blocks north (to get back home), I would say that you're looking north when you finally reach home. So you can say that the displacement is 0 and your direction is north.

Equations/697812: I am not in school just looking for the name of a theorem that goes something like -b +- the square root of b squared -4ac divided by 2a. You can reach me at Name_is_jennifer@yahoo.com 1 solutions Answer 430289 by jim_thompson5910(28504)   on 2013-01-01 23:54:24 (Show Source): You can put this solution on YOUR website! This is known as the quadratic formula and it is used to solve equations in the form for x. You can read more about it at the following links http://www.purplemath.com/modules/quadform.htm http://en.wikipedia.org/wiki/Quadratic_equation http://www.sosmath.com/algebra/quadraticeq/quadraformula/quadraformula.html

Inverses/697746: x+3 operation= inverse operation= 24t operation= inverse operation= 1 solutions Answer 430261 by jim_thompson5910(28504)   on 2013-01-01 19:02:39 (Show Source): You can put this solution on YOUR website! x+3 operation=addition inverse operation=subtraction 24t (which is the same as 24*t or 24 times t) operation=multiplication inverse operation=division

Linear-equations/697715: what is the slope of the line given by the equation y+2=-3(x-7) 1 solutions Answer 430237 by jim_thompson5910(28504)   on 2013-01-01 16:06:46 (Show Source): You can put this solution on YOUR website! y+2=-3(x-7) is in the form y-y1=m(x-x1) where m = -3 Since m is the slope, the slope is -3.

test/697650: 19m-4m 2t+3t+t 1 solutions Answer 430228 by jim_thompson5910(28504)   on 2013-01-01 15:25:51 (Show Source): You can put this solution on YOUR website! 19m-4m = 15m 2t+3t+t = 6t