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11430..11459 , 11460..11489 , 11490..11519 , 11520..11549 , 11550..11579 , 11580..11609 , 11610..11639 , 11640..11669 , 11670..11699 , 11700..11729 , 11730..11759 , 11760..11789 , 11790..11819 , 11820..11849 , 11850..11879 , 11880..11909 , 11910..11939 , 11940..11969 , 11970..11999 , 12000..12029 , 12030..12059 , 12060..12089 , 12090..12119 , 12120..12149 , 12150..12179 , 12180..12209 , 12210..12239 , 12240..12269 , 12270..12299, >>NextPercentage-and-ratio-word-problems/321527: Mr.Batti invested twice as much money in an account that pays 9% interest as he did in an account that pays 7% in interest. His total investment pays him 1,250 a year in interest. How much did he invest at each rate? THANKS.
1 solutions
Answer 230287 by mananth(12270)   on 2010-07-11 23:47:19 (Show Source):
You can put this solution on YOUR website!let him invest x at 7%
hw will invest 2x at 9%
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Interest equation
0.07x+0.09x=1250
multiply by 100
7x+9x=125000
16x=125000
x=125000/16
=7812.50 at 7%
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2x= 2*7812.50
=15625.00 at 9%
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Mixture_Word_Problems/321528: A mixture of 14% disinfectant solution is to be made from 10% and 20% disinfected solutions. How much of each solution should be used if 20 gallons of 14% solutions are needed?
1 solutions
Answer 230286 by mananth(12270) on 2010-07-11 23:38:23 (Show Source):
You can put this solution on YOUR website!A mixture of 14% disinfectant solution is to be made from 10% and 20% disinfected solutions. How much of each solution should be used if 20 gallons of 14% solutions are needed?
10% solution be x gallons
20% solution will be 20-x gallons
..
Total 14% solution 20 gallons
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Concentration eauation
0.1x+0.2(20-x)=20*0.14
0.1x+4-0.2x=2.8
-0.1x= -1.2
x= -1.2/ -0.1
x= 12 gallons of 10% solution
Balance 8 gallons will be 20% solution
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Miscellaneous_Word_Problems/321557: Thank you Jim for your last answer. I really appreciate it!!
Please help me solve this.
Suppose it takes 3 days for a space vehicle to travel from earth to the moon. About how long would it take the same vehicle traveling at the same speed to reach Mercury?
Moon--240,000
Mercury--57,000,000
Round to nearest whole number. Use scientific notation.
1 solutions
Answer 230285 by mananth(12270) on 2010-07-11 23:32:27 (Show Source):
You can put this solution on YOUR website!Suppose it takes 3 days for a space vehicle to travel from earth to the moon. About how long would it take the same vehicle traveling at the same speed to reach Mercury?
Moon--240,000 it takes 3 days
so in 1 day it travels 240000/3
=80,000
8*10^4 /day
Mercury--57,000,000
..
5.7*10^7 is the distance of mercury.
it will take
5.7*10^7 / 8*10^4
=712.5 days
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Rate-of-work-word-problems/321571: if one outlet pipe can drain a tank in 24 hours while a second outlet pipe can drain the same tank in 36 hours, how long will it take to drain the tank if both pipes are open?
1 solutions
Answer 230283 by mananth(12270) on 2010-07-11 23:18:44 (Show Source):
You can put this solution on YOUR website!if one outlet pipe can drain a tank in 24 hours while a second outlet pipe can drain the same tank in 36 hours, how long will it take to drain the tank if both pipes are open?
draining the tank is 1 job.
..
1 drain does the job in 24 hours
so it does 1/24 of the job in 1 hour.
..
second does the job in 36 hours
so it does 1/36 of the job in 1 hour
..
together they do 1/24+1/36 of the job in 1 hour
LCD = 72
= 3+2/72
=5/72
5/72 0f the job they do together in 1 hour
1 job they do in 72/5 hours
=14.4 hours
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Equations/321570: I am having difficulty with solving and checking the following equation. Can you please help me?
7x-8(x+1) = 4(x+3)-3x
1 solutions
Answer 230277 by mananth(12270) on 2010-07-11 23:02:30 (Show Source):
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Rectangles/321560: the primeter of a court is 114 the length is 6 more than two times the width what is the length and widty
1 solutions
Answer 230274 by mananth(12270) on 2010-07-11 22:54:14 (Show Source):
You can put this solution on YOUR website!let the width be x
length = 2x+6
..
Perimeter = 2*L+2*w
2x+2(2x+6)=114
2x+4x+12=114
6x+12=114
6x=102
x=17 the width
length = 2x+6
=2*17+6
=40 the length
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Expressions-with-variables/321331: can you show me step by step how to solve the following equation, I'm looking for the solution for x and y.
6x + 4y = 60
8x + 9y = -4
1 solutions
Answer 230146 by mananth(12270) on 2010-07-11 00:45:16 (Show Source):
You can put this solution on YOUR website!6x + 4y = 60..............1
8x + 9y = -4..............2
Let us eliminate x by subtracting one equation from the other.
before that you have to make the co-efficinets of x equal.
multiply equation 1 by 8 and equation 2 by 6 .
we get
48x +32y=480
48x+54y=-24
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(48x+32y)-(48x+54y)=480-(-24)
48x+32y-48x-54y=504
-22y= 504
y=-22.91
plug the value of y in eq 1
x=((4*-22.91) -60)/-6
x=25.27
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Miscellaneous_Word_Problems/321330: Company A rents copiers for a monthly charge of $200 plus 10 cents per copy. Company B rents copiers for a monthly charge of $400 plus 5 cents per copy. What is the number of copies above which Company A's charges are the higher of the two?
1 solutions
Answer 230144 by mananth(12270) on 2010-07-11 00:25:09 (Show Source):
You can put this solution on YOUR website!Company A rents copiers for a monthly charge of $200 plus 10 cents per copy. Company B rents copiers for a monthly charge of $400 plus 5 cents per copy.
let thenumber of copies be x
company A
200+0.1x
Company B
400+0.05x
..
200+0.1x= 400+0.05x
0.05x = 200
x=200/0.05
x= 20000
After 20,000 copies company A becomes costly
What is the number of copies above which Company A's charges are the higher of the two?
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Rate-of-work-word-problems/321294: Dixie can paint a room in 3 hours working alone. Trixie can paint the same room in 6 hours working alone. How long after Dixie starts to paint the room will it be finished if Trixie joins her 1 hour later?
1 solutions
Answer 230140 by mananth(12270) on 2010-07-10 23:34:10 (Show Source):
You can put this solution on YOUR website!Dixie can paint a room in 3 hours working alone.
So she can do 1/3 of the job in 1 hour.
Trixie can paint the same room in 6 hours
So she can do 1/6 of the job in 1 hour.
..
Trixie joins 1 hour late
..
Dixie has done 1/3 of the job
When Trixie joins only 1-1/3 of the job is remaining
= 2/3 of the job.
..
Together they do 1/3 +1/6 of the job in 1 hour.
=2+1/ 6
=1/2 the job in 1 hour.
..
1/2 job they together do in 1 hour
2/3 of job they will do in 2/3 / 1/2
=2/3 * 2
1 1/3 hours
They will finish the job in 1 1/3 hours.
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Expressions-with-variables/321311: the volume of a cube is given by V=s^3. where s is length of a side. find the length of a side of a cube if the volume is 500 cm^3. round to the answer to three decimal places.
7.937*7.937*7937=499.6............the answer is 7.937
1 solutions
Answer 230137 by mananth(12270) on 2010-07-10 23:10:21 (Show Source):
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Miscellaneous_Word_Problems/321327: The product of the page numbers on two facing pages of a book is 240. Find the page numbers.
1 solutions
Answer 230136 by mananth(12270) on 2010-07-10 23:07:52 (Show Source):
You can put this solution on YOUR website!let the page number on the left side be x
then page number on the right side will be x+1
The product = 240
x(x+1)=240
x^2+x=240
x^2+x-240=0
x^2+16x-15x-240=0
x(x+16)-15(x+16)=0
(x+16)(x-15)=0
x= -16 OR 15
Ignore the negative value.
So the page numbers are 15 and 16
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Linear-equations/321317: Your friend is taking an algebra class that began one week after ours. Explain to your friend how by looking at two linear equations you can tell that corresponding lines are parallel and how you can tell that corresponding lines are perpendicular from the equations alone.
1 solutions
Answer 230134 by mananth(12270) on 2010-07-10 23:02:29 (Show Source):
You can put this solution on YOUR website!write the equations in the form
y=mx +c
m is the slope of the line.
Let the slope of one line be m1
Then the equation will be
y=m1x+c
..
Let the slope of the second line be m2
Write the equation of the second line in the same form
y=m2x+c
..
If m1 * m2 = -1 then the lines are perpendicular
OR m1 = -1/m2
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Rectangles/321321: 37. A rectangular table is five times as long as it is wide. If the area is 180 ft^2, find the length and width of the table.
1 solutions
Answer 230133 by mananth(12270) on 2010-07-10 22:54:52 (Show Source):
You can put this solution on YOUR website!let width be x feet
length = 5x
Area = 180 ft^2
..
Area of rectangle = L * W
x^5x=180
5x^2=180
x^2=180/5
x^2=36
x=+ / - 6
Ignore the negative value.
x=6 feet the width
length = 5x = 5*6=30 feet
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Travel_Word_Problems/321168: Elena bicycles 6km/h faster than Carlos. In the same time it takes Carlos to bicycle 27km, Elena can bicycle 45km. How fast does each bicyclist travel?
1 solutions
Answer 230007 by mananth(12270) on 2010-07-10 10:47:48 (Show Source):
You can put this solution on YOUR website!Let Carlos's speed be x mph
Elena bicycles 6km/h faster . x+6 mph
Carlos cycles 27km,
Elena can bicycle 45km. in the same time.
time taken by carlos = time taken by Elena
27/x = 45 / x+6
45x=27(x+6)
45x=27x+162
45x-27x=162
18x= 162
x= 162/18
x=9 mph - Carlos'speed.
15 mph will be Elena's speed.
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Travel_Word_Problems/321170: i many mile an hour i must travel to get from springfield ill to cincinnati oh in less then six hour. I need to know how to do this. no just answers. the miles between the cities is 320. thank you please help.
1 solutions
Answer 229996 by mananth(12270) on 2010-07-10 09:53:42 (Show Source):
You can put this solution on YOUR website!distance = 320 miles
time to be traveled less than 6 hours
speed = distance / time
320/6 = 40 mph.
you have to travel greater than 40mph to reach in less than 6 hours
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Money_Word_Problems/321159: If Ben invests $4000 at 4% interest per year, how much additional money must he invest at 5.5% annual interest to ensure that the interest he receives each year is 4.5% of the total amount invested?
1 solutions
Answer 229994 by mananth(12270) on 2010-07-10 09:49:42 (Show Source):
You can put this solution on YOUR website!If Ben invests $4000 at 4% interest per year, how much additional money must he invest at 5.5% annual interest to ensure that the interest he receives each year is 4.5% of the total amount invested?
..
let the additional amount to be invested be $x at 5.5%
$4000 at 4%
Total invested will be 4000+x , interest 4.5%
..
Interest at 4% +interest at5.5% = iinterest at4.5%
0.04*4000+0.055x=0.045(4000+x)
160+0.055x=180+0.045x
0.055x-0.045x=180-160
0.010x=20
x= 20/0.010
$ 2000 must be invested at 5.5%
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Rate-of-work-word-problems/321164: Helen earns $7.50 an hour at her job, but if she works more than 35 hours in a week she is paid 1.5 times her regular salary for the overtime hours worked. One week her gross pay was $352.50. How many overtime hours did she work that week?
1 solutions
Answer 229992 by mananth(12270) on 2010-07-10 09:37:13 (Show Source):
You can put this solution on YOUR website!Helen earns $7.50 an hour at her job, but if she works more than 35 hours in a week she is paid 1.5 times her regular salary for the overtime hours worked. One week her gross pay was $352.50. How many overtime hours did she work that week?
..
If she works 35 hours she gets 35*7.50 = $ 262.50
She got $ 352.50 that week.
so she got 352.50-262.50 = $ 90 extra for overtime
She gets 1.5 times for every extra hour
so she gets 7.50*1.50= $11.25 per extra hour
..
The extra amount she got was $ 90
so she worked for 90/11.25 extra hours
= 8 hours over time
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Equations/321163: I am very confused, I have absolutely no idea how to solve this word problem. Please help me solve the problem: If Sally can paint a house in four hours, John can paint the same house in six hours. How long will it take them to paint it together?
1 solutions
Answer 229989 by mananth(12270) on 2010-07-10 09:25:24 (Show Source):
You can put this solution on YOUR website!Painting the house is considered as 1 job
Sally can paint a house in four hours,
so sally can do 1/4 of the job in 1 hour
John can paint the same house in six hours.
John can do 1/6 job in 1 hour
.
They together can do 1/4 + 1/6 of the job in 1 hour.
1/4 + 1/6 = 3+2 / 12
= 5/12 of the job in 1 hour
so to do 1 job they take 12/5 hours
= 2.4 hours
They together can paint the house in 2.4 hours
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Travel_Word_Problems/321162: Two cyclist, 90 mi apart, start riding toward each other at the same time. One cycles twice as fast as the other. If they meet 2 h later, at what average speed is each cyclist traveling?
1 solutions
Answer 229986 by mananth(12270) on 2010-07-10 09:19:38 (Show Source):
You can put this solution on YOUR website!Two cyclist, 90 mi apart, start riding toward each other at the same time. One cycles twice as fast as the other. If they meet 2 h later, at what average speed is each cyclist traveling?
..
let the speed of one cyclist be x mph
the other will be 2x mph
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They both travel for 2 hours before they meet.
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distance traveled by one + distance traveled by other = Total distance between them when starting.
..
2x+2*2x=90
2x+4x=90
6x=90
x=15 mph the speed of first cyclist.
The speed of second cyclist will be 2x = 2*15=30 mph
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