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jim_thompson5910 answered: 28525 problems
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test/575862: the sum of twice a number and 4 is -12. 1 solutions Answer 369657 by jim_thompson5910(28536)   on 2012-02-21 18:25:29 (Show Source): You can put this solution on YOUR website! "the sum of twice a number and 4 is -12" translates to 2n+4 = -12, solve for n to get 2n + 4 = -12 2n = -12 - 4 2n = -16 n = -16/2 n = -8 So the unknown number is -8

Rate-of-work-word-problems/575860: Judy Started work at 8:30 a.m. She worked for 8 3/4 hours. What time did she finish work???? And can u do this like right now .... 1 solutions Answer 369656 by jim_thompson5910(28536)   on 2012-02-21 18:23:48 (Show Source): You can put this solution on YOUR website! 1 hour = 60 min 3/4 hour = (3/4)*60 min 3/4 hour = 45 min So 8 3/4 hr = 8 hr + 3/4 hr = 8 hr + 45 min Now add the two times (8:30 and 8 hr, 45 min) 1 8:30 + 8:45 ------- 17:15 which translates to 17:15 - 12:00 = 5:15 pm So she finished work at 5:15 pm

Probability-and-statistics/575920: In a large company, there are 3 vice presidents, 15 managers and 1 CEO. If a person is selected at random, find the probability that the person is either the CEO or a manager. 1 solutions Answer 369654 by jim_thompson5910(28536)   on 2012-02-21 18:19:21 (Show Source): You can put this solution on YOUR website! P(CEO or manager) = P(CEO) + P(Manager) P(CEO or manager) = 1/(3+15+1) + 15/(3+15+1) P(CEO or manager) = 1/19 + 15/19 P(CEO or manager) = 16/19

Exponents-negative-and-fractional/575835: [(3x^3)/({x^2})^3]^-2 1 solutions Answer 369653 by jim_thompson5910(28536)   on 2012-02-21 18:17:52 (Show Source): You can put this solution on YOUR website! [(3x^3)/({x^2})^3]^-2 [(3x^3)/(x^6)]^-2 [(x^6)/(3x^3)]^2 [(x^(6-3))/3]^2 [(x^3)/3]^2 (x^6)/9 So [(3x^3)/({x^2})^3]^-2 = (x^6)/9for all values of x (where x is not zero)

Travel_Word_Problems/575836: after driving 100km 2/7 of the trip is completed how long is the total trip 1 solutions Answer 369651 by jim_thompson5910(28536)   on 2012-02-21 18:12:25 (Show Source): You can put this solution on YOUR website! Let x = total distance If 100 km represents 2/7 of the trip, then this means that 100 = (2/7)x, solve for x to get 100 = (2/7)x 100*7 = 2x 700 = 2x 700/2 = x 350 = x x = 350 So the total distance is 350 km

Probability-and-statistics/575861: solve for p. p/0.3 - 1 = 5 PLZ help quick 1 solutions Answer 369650 by jim_thompson5910(28536)   on 2012-02-21 18:10:20 (Show Source): You can put this solution on YOUR website! p/0.3 - 1 = 5 p/0.3 - 1 +1 = 5 + 1 p/0.3 = 6 (p/0.3)*0.3 = 6*0.3 p = 1.8 So the answer is p = 1.8

Average/575912: What would my grade if I made an 80 on a 90 point assignment? 1 solutions Answer 369649 by jim_thompson5910(28536)   on 2012-02-21 18:08:57 (Show Source): You can put this solution on YOUR website! Your grade is (80/90)*100 = (0.8889)*100 = 88.89%, which is roughly a B or B+

Linear-equations/575913: y+3=2x 1 solutions Answer 369648 by jim_thompson5910(28536)   on 2012-02-21 18:07:48 (Show Source): You can put this solution on YOUR website! If you want to solve for y, then y+3=2x y+3-3=2x-3 y = 2x-3 So the answer is y = 2x-3

Finite-and-infinite-sets/575908: Determine the following: B ∪ C if: U= {a, b, c, d, e, f, g, h, I, j, k} A= {a, c, d, f, g, i} B= {b, c, d, f, g} C= {a, b, f, I, j} 1 solutions Answer 369647 by jim_thompson5910(28536)   on 2012-02-21 18:07:11 (Show Source): You can put this solution on YOUR website! B U C = {set of everything that is found in either sets B or C} B U C = {b, c, d, f, g, a, b, f, I, j} B U C = {a, b, c, d, f, g, I, j}

Travel_Word_Problems/575904: If a person jogs at a speed of 4miles per hour. The person will jog at least 30 mintes if it's raining and no more than 60 minutes if it's sunny. How far does the person go? 1 solutions Answer 369645 by jim_thompson5910(28536)   on 2012-02-21 18:05:45 (Show Source): You can put this solution on YOUR website! Assuming the best conditions, the person will jog 60 min or 1 hour. So t = 1 and r = 4 (since "a person jogs at a speed of 4miles per hour") d = rt d = 4*1 d = 4 So s/he will go 4 miles at most. This is of course if it's sunny. The person may jog less if the conditions aren't that favorable.

Exponents-negative-and-fractional/575831: -(x^3 y^-2)(xy^-2)^-3 1 solutions Answer 369644 by jim_thompson5910(28536)   on 2012-02-21 18:03:40 (Show Source): You can put this solution on YOUR website! -(x^3 y^-2)(xy^-2)^-3 (-x^3/y^2)(x/y^2)^-3 (-x^3/y^2)(x^-3/y^-6) (-x^3/y^2)(y^6/x^3) (-x^3/x^3)*(y^6/y^2) -y^4 So -(x^3 y^-2)(xy^-2)^-3 simplifies to -y^4 In other words, -(x^3 y^-2)(xy^-2)^-3 = -y^4 for all nonzero values of x and y.

Linear-systems/575901: Determine wether the systems are consistent or incosistent y-2x=1 2x-3=y 1 solutions Answer 369642 by jim_thompson5910(28536)   on 2012-02-21 18:01:06 (Show Source): You can put this solution on YOUR website! y-2x=1 (2x-3)-2x=1 2x-2x-3=1 3=1 which is false, so the system is inconsistent.

Linear-systems/575903: solve by substitution x+y=5 and x=y+7 1 solutions Answer 369641 by jim_thompson5910(28536)   on 2012-02-21 18:00:02 (Show Source): You can put this solution on YOUR website! x+y=5 y+7+y=5 2y+7=5 2y = 5-7 2y = -2 y = -2/2 y = -1 Now use this to find x. Your answer will be of the form (x,y)

Linear-systems/575851: Suppose A is a 5 x 3 matrix, B is an r x s matrix and C is a 4 x 5 matrix. If At BC is defined, which one is true? ( the t after A means inverse) 1) the size of At BC is 3 x 5 2) r = 2, s = 5 3) r = 3, s = 4 4) r = 3, s = 5 1 solutions Answer 369640 by jim_thompson5910(28536)   on 2012-02-21 17:58:47 (Show Source): You can put this solution on YOUR website! In order for BC to be defined, B must have 4 columns. So s = 4. This means that the resulting matrix BC is a r x 5 matrix Matrix A is a 5 x 3 matrix. So is a 3 x 5 matrix since the transpose flips the rows and columns. So BC must have 5 rows in order for to be defined. This therefore means that is a 3 x 5 matrix So the answer is choice 1)

Linear-equations/575899: I had the problem x-3y-8 and i found the slope first which is 1/3, but i have to use the negative recipricol of that so i used -3,then i had to find the point slope formula of that, i got y+4=-3(x-4) but now its asking me for the general form of the equation and idk how to do that! 1 solutions Answer 369639 by jim_thompson5910(28536)   on 2012-02-21 17:53:30 (Show Source): You can put this solution on YOUR website! If you want it in slope intercept form, then y+4=-3(x-4) y+4=-3(x)-3(-4) y+4=-3x+12 y=-3x+12-4 y=-3x+8 So the answer is y=-3x+8

Polynomials-and-rational-expressions/575893: The function is: f(x)= x(2-x)(x+3)^2 Give each zero and it's mulplicity. There are three. 1 solutions Answer 369638 by jim_thompson5910(28536)   on 2012-02-21 17:52:04 (Show Source): You can put this solution on YOUR website! f(x)= x(2-x)(x+3)^2 0= x(2-x)(x+3)^2 x(2-x)(x+3)^2 = 0 x=0 or 2-x = 0 or (x+3)^2 = 0 x=0 or x = 2 or x = -3 The first two zeros are of multiplicity 1 and the last zero is of multiplicity 2.

Triangles/575894: "Nate built a skateboard ramp that covers a horizontal distance of 10ft. The ramp rises a total of 3.5ft. What angles does the ramp make with the ground?" 1 solutions Answer 369637 by jim_thompson5910(28536)   on 2012-02-21 17:50:48 (Show Source): You can put this solution on YOUR website! The angle made with the ground is theta = arctan(3.5/10) = 19.29 degrees

Coordinate-system/575895: whats the x and y intercepts for -x+6y=20 1 solutions Answer 369636 by jim_thompson5910(28536)   on 2012-02-21 17:48:58 (Show Source): You can put this solution on YOUR website! x-intercept -x+6y=20 -x+6(0)=20 -x=20 x=-20 So the x-intercept is (-20, 0) --------------------------------------------- y-intercept -x+6y=20 -(0)+6y=20 6y=20 y = 20/6 y = 10/3 y = 3.3333 So the y-intercept is (0, 3.3333)

Equations/574625: v/-3=6 1 solutions Answer 369427 by jim_thompson5910(28536)   on 2012-02-20 10:21:51 (Show Source): You can put this solution on YOUR website! v/-3=6 v=6(-3) v = -18

Equations/575188: the square root of 24 in the simplest radical form 1 solutions Answer 369425 by jim_thompson5910(28536)   on 2012-02-20 10:21:12 (Show Source): You can put this solution on YOUR website! Start with the given expression The goal of simplifying expressions with square roots is to factor the radicand into a product of two numbers. One of these two numbers must be a perfect square. When you take the square root of this perfect square, you will get a rational number. So let's list the factors of 24 Factors: 1, 2, 3, 4, 6, 8, 12, 24 Notice how 4 is the largest perfect square, so lets factor 24 into 4*6 Factor 24 into 4*6 Break up the square roots using the identity Take the square root of the perfect square 4 to get 2 So the expression simplifies to ---------------------------- Check: Notice if we evaluate the square root of 24 with a calculator we get and if we evaluate we get This shows that . So this verifies our answer

Quadratic_Equations/575141: How to solve this for x x(x+5)=0 1 solutions Answer 369424 by jim_thompson5910(28536)   on 2012-02-20 10:19:33 (Show Source): You can put this solution on YOUR website! x(x+5)=0 x = 0 or x+5=0 x=0 or x = -5

Equations/575201: what is the geometric mean of 8 and 15 1 solutions Answer 369423 by jim_thompson5910(28536)   on 2012-02-20 10:18:44 (Show Source): You can put this solution on YOUR website! The geometric mean is

test/575161: 15x^2+26x+8=0 1 solutions Answer 369422 by jim_thompson5910(28536)   on 2012-02-20 10:17:24 (Show Source): You can put this solution on YOUR website! Start with the given equation. Notice that the quadratic is in the form of where , , and Let's use the quadratic formula to solve for "x": Start with the quadratic formula Plug in , , and Square to get . Multiply to get Subtract from to get Multiply and to get . Take the square root of to get . or Break up the expression. or Combine like terms. or Simplify. So the solutions are or

Equations/574982: What is x+5-2x+3y-y 1 solutions Answer 369352 by jim_thompson5910(28536)   on 2012-02-19 19:45:55 (Show Source): You can put this solution on YOUR website! x+5-2x+3y-y (x-2x)+(3y-y)+5 -x+2y+5 So x+5-2x+3y-y = -x+2y+5 for all values of x and y

Polynomials-and-rational-expressions/574971: How do you factor x^3-7x^2-9x+63 1 solutions Answer 369338 by jim_thompson5910(28536)   on 2012-02-19 18:29:31 (Show Source): You can put this solution on YOUR website! Start with the given expression Group the terms in two pairs Factor out the GCF out of the first group. Factor out the GCF out of the second group Since we have the common term , we can combine like terms Now factor to get So factors to In other words,

Numeric_Fractions/574974: What is 2/3 =16/n 1 solutions Answer 369337 by jim_thompson5910(28536)   on 2012-02-19 18:28:07 (Show Source): You can put this solution on YOUR website! 2/3 = 16/n 2n = 3*16 2n = 48 n = 48/2 n = 24

Geometry_Word_Problems/574705: C = 20 pie (3.14) cm; r = ? My answer = 10 pie cm Thanks. 1 solutions Answer 369230 by jim_thompson5910(28536)   on 2012-02-18 22:08:46 (Show Source): You can put this solution on YOUR website! C = 2pi r 20 pi = 2pi r 20pi/2pi = r 10 = r r = 10 So the radius is 10 cm

Polynomials-and-rational-expressions/574640: -16t^2-12t=2 I know the answer but I need help figuring out how to get to the answer. Thank you. 1 solutions Answer 369189 by jim_thompson5910(28536)   on 2012-02-18 16:49:17 (Show Source): You can put this solution on YOUR website! Start with the given equation. Get every term to the left side. Notice that the quadratic is in the form of where , , and Let's use the quadratic formula to solve for "t": Start with the quadratic formula Plug in , , and Negate to get . Square to get . Multiply to get Subtract from to get Multiply and to get . Take the square root of to get . or Break up the expression. or Combine like terms. or Simplify. So the solutions are or

Average/574606: Tom received 89, 94, 86, and 96 on the first algebra tests. What grade must he receive on his last test to have an average of 92? 1 solutions Answer 369170 by jim_thompson5910(28536)   on 2012-02-18 13:48:13 (Show Source): You can put this solution on YOUR website! Let x = last test grade (89+94+86+96+x)/5 = 92 (365+x)/5 = 92 365+x = 92*5 365+x = 460 x = 460-365 x = 95 So Tom must receive a 95 on the last test.

Travel_Word_Problems/574601: You ride a motor scooter 8 km for 15 minutes. Your [average] speed is? 1 solutions Answer 369167 by jim_thompson5910(28536)   on 2012-02-18 13:18:07 (Show Source): You can put this solution on YOUR website! 15 min = 1/4 hour d = rt 8 = r(1/4) 8*4 = r 32 = r r = 32 So your average speed is 32 km/hr

Expressions-with-variables/574596: If 3x^2-2x+7=0, then (x-1/3)^2 = ? 1 solutions Answer 369157 by jim_thompson5910(28536)   on 2012-02-18 12:32:08 (Show Source): You can put this solution on YOUR website! 3x^2-2x+7=0 3x^2-2x=-7 3(x^2-2/3x)=-7 3(x^2-2/3x+1/9)=-7+3*(1/9) 3(x^2-2/3x+1/9) = -20/3 3(x-1/3)^2 = -20/3 (x-1/3)^2 = (-20/3)/3 (x-1/3)^2 = -20/9