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scott8148 answered: 6619 problems
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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
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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
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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):
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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):
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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
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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
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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
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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
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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
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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
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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
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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):
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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
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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):
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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)
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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 think
1 solutions
Answer 172601 by scott8148(6628) on 2009-11-02 00:20:34 (Show Source):
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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 way
1 solutions
Answer 172600 by scott8148(6628) on 2009-11-02 00:17:46 (Show Source):
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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 way
1 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)
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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)
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