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# Recent problems solved by 'scott8148'

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 logarithm/236073: Write the expression as a rational number or as a single logarithm log 2 + log 3 + log 4 =1 solutions Answer 173826 by scott8148(6628)   on 2009-11-06 23:30:50 (Show Source): You can put this solution on YOUR website!adding logs means multiplying numbers log(2 * 3 * 4) = log(24)
 Rate-of-work-word-problems/236071: Maria, an experienced shipping clerk, can fill a certain order in 6 hours. Bill, a new clerk, needs 11 hours to do the same job. Working together, how long will it take them to fill the order?1 solutions Answer 173825 by scott8148(6628)   on 2009-11-06 23:29:07 (Show Source): You can put this solution on YOUR website!their combined time determines the fraction of the job each one does ___ the fractions add to one (the whole job) (x / 6) + (x / 11) = 1 11x + 6x = 66 x = 66 / 16 = 4.125
 Sequences-and-series/236028: Find the monthly rate of decay on a radioactive sample that weighed 100 grams in May and weighs 50 grams in November. Please help! Thanks.1 solutions Answer 173823 by scott8148(6628)   on 2009-11-06 23:23:53 (Show Source): You can put this solution on YOUR website!May to November is 6 months ___ r is the rate of decay ___ the weight each month is the previous month's weight multuiplied by (1 - r) the equation is ___ 50 = 100 (1 - r)^6
 logarithm/236067: When a bank compounds continuously, using the formula A = P e rt how do you set up the formula when it is given that P = 4000, e = is a constant that is equal to 2.7183, r = 7% or .07, t = 8 now how would you calculate A with continuous compounding.1 solutions Answer 173818 by scott8148(6628)   on 2009-11-06 23:09:09 (Show Source): You can put this solution on YOUR website!the actual expression is ___ A = P e^(rt) just plug in the values (use the decimal r)
 Sequences-and-series/236027: Find the annual rate of growth on an account that was worth \$1000 in 1996 and was worth \$1400 in 1999. I have tried like this: 1996-1999 is 3 years, and it had raised \$400 400/1000 x 100= 40% which means it has raised 40% in 3 years, so is the answer 40/3= 13.33% per year???? Please tell me if i'm right or wrong. Thanks very much!1 solutions Answer 173780 by scott8148(6628)   on 2009-11-06 20:19:10 (Show Source): You can put this solution on YOUR website!well...the problem is, there is growth on growth try this ___ 1400 = 1000 (1 + r)^3
 Problems-with-consecutive-odd-even-integers/235767: The product of two consecutive intergers is 19 more than their sum. find the numbers. This is the equation I came up with = x(x+2)=(x+x+2+19),but it works out to x to the second power minus 21. how do I factor it out?1 solutions Answer 173585 by scott8148(6628)   on 2009-11-05 22:14:08 (Show Source): You can put this solution on YOUR website!"The product of two consecutive intergers" ___ x(x+1) "is" ___ = "19 more than" ___ + 19 "their sum" ___ x + x+1 x(x+1) = x + x+1 + 19 x^2 + x = 2x + 20 x^2 - x - 20 = 0 (x + 4)(x - 5) = 0
 Miscellaneous_Word_Problems/235293: Please help/explain how I would solve this problem: five more than three times a number is 197?1 solutions Answer 173385 by scott8148(6628)   on 2009-11-04 23:45:26 (Show Source): You can put this solution on YOUR website!3n + 5 = 197 subtracting 5 ___ 3n = 192 dividing by 3 ___ n = 64
 Linear_Equations_And_Systems_Word_Problems/235318: Hello, I was helping my aunt with some of the problems she had with inequalities before i stumbled upon this. Its been years since I last took algebra, so please help me out with this. 1. In 2002, a one year old Acura was worth \$18,249, with a depreciation of \$1903 per year. A year old Subaru sedan was worth about \$14,564 with a depreciation of \$1225 per year. (a) Let V be the value in \$ of the Acura at t years since 2002, find an equation of a model to describe the data. (b) Let V be the value in \$ of the Subaru car at t years since 2002, find an equation of a model to describe the data. (c) Use substitution or elimination to predict when the two cars will have the same value. What is that value. Thanks.1 solutions Answer 173384 by scott8148(6628)   on 2009-11-04 23:41:06 (Show Source): You can put this solution on YOUR website!(a) V = 18249 - 1903t (b) V = 14564 - 1225t (c) substituting ___ 18249 - 1903t = 14564 - 1225t adding 1903t-14564 ___ 3685 = 678t dividing by 678 ___ t = 3685 / 678 = 5.435 (approx) ___ about 5 1/2 yrs from 2002 substituting ___ V = 18249 - 1903 (3685 / 678) = 7906
 Linear_Equations_And_Systems_Word_Problems/235217: A plane traveled 580 miles to Ankara and back. The trip there was with the wind. It took 5 hours. The trip back was into the wind. The trip took 10 hours. Find the speed of the plane in still air and the speed of the wind. i know this should be relatively easy, but for some reason I am having a brain block and can't seem to make any headway on this problem. Any help you can provide will be GREATLY appreciated!1 solutions Answer 173349 by scott8148(6628)   on 2009-11-04 20:25:35 (Show Source): You can put this solution on YOUR website!rate = distance / time p + w = 580 / 5 = 116 p - w = 580 / 10 = 58 adding the equations ___ 2p = 174 ___ p = 87 substituting ___ 87 + w = 116 ___ w = 29
 Exponents/235250: { { { 2x^5 X 2x^4 } } } do you multiply the 2's or do you just leave them the same1 solutions Answer 173348 by scott8148(6628)   on 2009-11-04 20:16:03 (Show Source): You can put this solution on YOUR website![2 * x * x * x * x * x] X [2 * x * x * x * x]
 Square-cubic-other-roots/235252: Solve. i tried dividing by 6 on both sides to get and then squaring to get x=1/36, and that isn't the answer in the back of my text book.1 solutions Answer 173345 by scott8148(6628)   on 2009-11-04 20:13:00 (Show Source): You can put this solution on YOUR website!(x / 6)^2 = (x^2) / 36
 Quadratic_Equations/234861: I have the hardest time with word problems. For this problem I need to use the discriminate to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. It is not necessary to find the roots; just determine the number and types of solutions. The hudson river flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water?1 solutions Answer 173119 by scott8148(6628)   on 2009-11-03 22:02:36 (Show Source): You can put this solution on YOUR website!time = distance / rate ___ let x ="speed in still water" [60 / (x - 3)] + [60 / (x + 3)] = 9 multiplying by (x - 3)(x + 3) ___ 60x - 180 + 60 x + 180 = 9x^2 - 81 0 = 9x^2 - 120x - 81 0 = 3x^2 - 40x - 27 discriminant = (-40)^2 - (4 * 3 * (-27)) = 160 + 324
 percentage/234411: The perimeter of a rectangular driveway is 168 feet. The length is 12 feet longer than three times the width. What are the dimensions of the driveway? I do not even know which formula to use to solve this problem. If someone could tell me how to begin I could probably figure it out. 1 solutions Answer 172874 by scott8148(6628)   on 2009-11-03 00:08:51 (Show Source): You can put this solution on YOUR website!"The perimeter of a rectangular driveway is 168 feet" ___ 2L + 2W = 168 "The length is 12 feet longer than three times the width" ___ L = 3W + 12 substitute for L to find W, then substitute back to find L
 Linear-equations/234396: Translate the problem into a pair of linear equations in two variables. A sum of money amounting to \$3.80 consist of dimes and quarters. If there are 2o coins in all, how many quarters?1 solutions Answer 172872 by scott8148(6628)   on 2009-11-03 00:04:14 (Show Source): You can put this solution on YOUR website!"\$3.80 consist of dimes and quarters" ___ 10d + 25q = 380 "20 coins in all" ___ d + q = 20 ___ d = 20 - q to find q, substitute for d
 Functions/234367: i have two tables i have to write functions rules for i know what the difference is between them but i dont know who to write it or explain it my book doesnt show me the first table is x- 1,2,3,4 y- 25,30,35,40 the second table is x-1,2,3,4 y \$10.00, \$12.50,\$15.00,\$17.50 im sure i can do it i just dont know how to write it please help me 1 solutions Answer 172870 by scott8148(6628)   on 2009-11-02 23:58:21 (Show Source): You can put this solution on YOUR website!for the 1st one, y changes by 5 when x changes by 1 ___ so y = 5x + ? ___ think of the ? as the "adjustment" ___ when x is 2, y is 30 ___ 30 = 5(2) + ? ___ 30 = 10 + ? ___ so ? is 20 ___ the function is y = 5x + 20 the 2nd one works the same as the 1st one ___ y changes by \$2.50 when x changes by 1 ___ y = \$2.50 x + ? ___ when x is 1, y is \$10.00 ___ \$10.00 = \$2.50(1) + ? ___ \$7.50 = ? ___ y = \$2.50 x + \$7.50
 Miscellaneous_Word_Problems/234357: Please help me solve this word problem: Cellular phone companies often package their products to make them more attractive to potential users. If you average 356 minutes per month in talk time, which package is the better deal? Package A includes a free phone and 300 minutes. It will cost 0.12 per minute for each minute over the plan time. Package A has a base rate of 39.95. Package B has a phone that cost \$10 and has 350 minutes of time and 0.08 per minute for each minute over the plan time. Package B has a base rat of \$35.95 not including the phone. ----Thank you =)1 solutions Answer 172867 by scott8148(6628)   on 2009-11-02 23:40:48 (Show Source): You can put this solution on YOUR website!A) 0 + 39.95 + 56(.12) = 46.67 B) 10 + 35.95 + 6(.08) = 46.43
 Expressions-with-variables/234457: 5x^2+28xy+15y^21 solutions Answer 172862 by scott8148(6628)   on 2009-11-02 23:33:29 (Show Source): You can put this solution on YOUR website!(5x + 3y)(x + 5y)
 Expressions-with-variables/233993: Nicole has 20 coins in nickels, dimes, and quarters. She has 6 more quarters than nickels and \$3.30 in all. How many nickels does she have? How many dimes? How many quarters?1 solutions Answer 172616 by scott8148(6628)   on 2009-11-02 01:01:39 (Show Source): You can put this solution on YOUR website!"20 coins in nickels, dimes, and quarters" ___ n + d + q = 20 ___ d = 20 - n - q "6 more quarters than nickels" ___ q = n + 6 "\$3.30 in all" ___ 5n + 10d + 25q = 330 substituting ___ d = 20 - n - n - 6 = 14 - 2n substituting ___ 5n + 10(14 - 2n) + 25(n + 6) = 330 ___ 5n + 140 - 20n + 25n + 150 = 330 ___ 10n = 40 ___ n = 4 substituting ___ q = 4 + 6 = 10 substituting ___ d = 20 - 4 - 10 = 6
 Angles/233995: one acute angle of a right triangle is 4 times as large as the other. Find the measure of 2 angles?1 solutions Answer 172609 by scott8148(6628)   on 2009-11-02 00:45:19 (Show Source): You can put this solution on YOUR website!x + 4x + 90 = 180 5x = 90 x = 18 4x = 72
 Quadratic_Equations/234012: Use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x, and use the resulting points to graph the function f(x) = 3x2 ok i figured out that by using the qaudratic formula my answer is x=0 so i guess how do figure out my x intercepts and how do i come up with other points so that i can graph this.1 solutions Answer 172607 by scott8148(6628)   on 2009-11-02 00:43:17 (Show Source): You can put this solution on YOUR website!f(x) is y ___ so chose values for x and substitute into 3x^2 to the corresponding y values eg. for x equal to ±2 , y equals 12 (2 squared times 3) ___ so the points are (-2 , 12) and (2 , 12)
 Polynomials-and-rational-expressions/233996: 6t^2-5t+1 please factor it1 solutions Answer 172604 by scott8148(6628)   on 2009-11-02 00:34:32 (Show Source): You can put this solution on YOUR website!(3t - 1)(2t - 1)
 Polynomials-and-rational-expressions/233998: x^4 + 2x^3 - 3x - 6 factor the algebraic expressions completely. Thank you :)1 solutions Answer 172603 by scott8148(6628)   on 2009-11-02 00:32:55 (Show Source): You can put this solution on YOUR website!(x^4 + 2x^3) - (3x + 6) x^3 (x + 2) - 3 (x + 2) (x^3 - 3)(x + 2)
 Polynomials-and-rational-expressions/233999: Factor the Algebraic expression completely x^8-1 Thanks so much 1 solutions Answer 172602 by scott8148(6628)   on 2009-11-02 00:26:01 (Show Source): You can put this solution on YOUR website!(x^4 + 1)(x^4 - 1) (x^4 + 1)(x^2 + 1)(x^2 - 1) (x^4 + 1)(x^2 + 1)(x + 1)(x - 1)
 Quadratic_Equations/234003: Use the quadratic formula to determine the x-intercepts (if any) of the following function f(x) = 3x2 i can grapg this buy substituting a number for x and that would give me y. but if i use that quadratic formula i need an a,b,c and i only have an a. therfore i believe that i cant get the x intersepts by using the quadratic formula what di you think1 solutions Answer 172601 by scott8148(6628)   on 2009-11-02 00:20:34 (Show Source): You can put this solution on YOUR website!b and c both equal zero so, what does that give for intercepts? ___ (yes, it works)
 Rate-of-work-word-problems/234005: if 2 people can paint a fence in 12 hours how long does it take 3 people each working at the same rate? i know how to do it but i want to know what is the fast way of doing it? can you show me the fast way1 solutions Answer 172600 by scott8148(6628)   on 2009-11-02 00:17:46 (Show Source): You can put this solution on YOUR website!2 people for 12 hrs is 24 person-hours of labor (2 times 12) 24 person-hours for 3 people means 8 hrs of work (24 divided by 3)
 Rate-of-work-word-problems/234006: if 2 people can paint a fence in 12 hours how long does it take 3 people each working at the same rate? i know how to do it but i want to know what is the fast way of doing it? can you show me the fast way1 solutions Answer 172599 by scott8148(6628)   on 2009-11-02 00:16:32 (Show Source): You can put this solution on YOUR website!2 people for 12 hrs is 24 person-hours of labor (2 times 12) 24 person-hours for 3 people means 8 hours of work (24 divided by 3)
 Linear_Equations_And_Systems_Word_Problems/233980: The difference between two numbers is 16. Three times the larger number is nine times the smaller. What are the numbers??? 1 solutions Answer 172598 by scott8148(6628)   on 2009-11-02 00:13:00 (Show Source): You can put this solution on YOUR website!3(n + 16) = 9(n) 3n + 48 = 9n 48 = 6n 8 = n 24 = n + 16
 Miscellaneous_Word_Problems/233979: I'd appreciate any help with this, I'm completely stuck! An object's altitude, in meters, is given by the polynomial h + vt - 9.8t2, where h is the height in meters from which the launch occurs, v is the initial upward speed in meters per second, and t is the number of seconds for which the rocket is airborne. A pebble is shot upward from the top of a building 150 meters tall. If the initial speed is 35 meters per second, how high above the ground will the pebble be after 3 seconds? Round results to the nearest tenth of a meter. 1 solutions Answer 172597 by scott8148(6628)   on 2009-11-02 00:10:05 (Show Source): You can put this solution on YOUR website!"h is the height in meters from which the launch occurs" ___ "the top of a building 150 meters tall" "v is the initial upward speed in meters per second" ___ "initial speed is 35 meters per second" "t is the number of seconds for which the OBJECT is airborne" ___ "how high above the ground will the pebble be after 3 seconds" height = 150 + 35(3) - 9.8(3^2)
 Linear-equations/233949: I really need help writing an equation for the line that is paraelle to y= -3x; and that passes through the point (3,0)1 solutions Answer 172596 by scott8148(6628)   on 2009-11-01 23:57:53 (Show Source): You can put this solution on YOUR website!parallel means same slope ___ m = -3 using point-slope ___ y - 0 = -3 (x - 3) ___ y = -3x + 9
 Linear-systems/233933: Please help me find the slope and y-intercept of this equation: y=2/5x-71 solutions Answer 172595 by scott8148(6628)   on 2009-11-01 23:47:42 (Show Source): You can put this solution on YOUR website!the equation is already in slope-intercept form ___ y = mx + b the coefficient of the x-term (m) is the slope __ 2/5 in this case the constant term (b) is the y-intercept ___ -7
 Expressions-with-variables/233932: Solve the equation: The following are fractions and the answer should be -4/3 but I am unable to get this answer x/4=-x/2-1 Please help! 1 solutions Answer 172594 by scott8148(6628)   on 2009-11-01 23:44:12 (Show Source): You can put this solution on YOUR website!x/4 = -x/2 - 1 ___ remember PEMDAS multiplying by 4 ___ x = -2x - 4 adding 2x ___ 3x = -4 dividing by 3 ___ x = -4/3