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Graphs/389194: how do I graph, 5x + 6y <= 30, on a plane?
1 solutions

Answer 275740 by mananth(12270) About Me  on 2010-12-29 04:00:11 (Show Source):
You can put this solution on YOUR website!
how do I graph, 5x + 6y <= 30, on a plane?
...
5x + 6y <= 30
-5x -5x
6y<=-5x+30
/6
y<=(-5/6)x+5
The boundary
x=0,y=5
y=0,x=6
...
graph%28300%2C300%2C-3%2C8%2C-6%2C6%2C%28%28-5%2F6%29x%2B5%29%29
...
The inequality
graph%28300%2C300%2C-1%2C8%2C-1%2C6%2Cy%3C=%28-5%2F6%29x%2B5%29
Since y <= something the solutions lie below the line
...
m.ananth@hotmail.ca


Graphs/389196: graph the equation, y = 6
1 solutions

Answer 275738 by mananth(12270) About Me  on 2010-12-29 03:48:22 (Show Source):
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graph the equation, y = 6
..
It is line parallel to the x axis at a distance of 6 units.
...
graph%28200%2C200%2C-5%2C5%2C-5%2C8%2Cy=6%29
...
m.ananth@hotmail.ca


Miscellaneous_Word_Problems/389197: Steven left Town A and walked towards Town B at a speed of 100m/min. At the same time, Jason and Melvin started from Town B and walked towards Town A at a speed of 80m/min and 75m/min respectively. If Steven met Melvin six minutes after passing Jason, find the distance between Town A and Town B.
1 solutions

Answer 275736 by mananth(12270) About Me  on 2010-12-29 03:42:09 (Show Source):
You can put this solution on YOUR website!
Steven left Town A and walked towards Town B at a speed of 100m/min. At the same time, Jason and Melvin started from Town B and walked towards Town A at a speed of 80m/min and 75m/min respectively. If Steven met Melvin six minutes after passing Jason, find the distance between Town A and Town B.
...
Steven ----- 100m/min
...
Jason--------80m/min
...
Melvin-------75m/min
......
Let distance between towns be x m
Steven ----- 100m/min
Jason--------80m/min
combined speed = 180 m.min
Time taken = x/180 minutes.
...
Steven ----- 100m/min
Melvin-------75m/min
combine speed = 175 m/min
..
Time = x/175
...
Difference in time of meeting = 6 minutes.
x/175 - x/180 = 6
(180x-175x)/175*180=6
5x=175*180*6
5x=189,000
/5
x= 37,800 meters
OR 37.8 km
...
m.ananth@hotmail.ca


Proportions/389204: A Suzuki Khyber car journey takes 4/1/2 (4 whole 1 over 2) hrs when the car travels at an average speed of 120 km/h. Calculate the time taken for the same journey when the average speed is reduced to 108 km/h.
1 solutions

Answer 275735 by mananth(12270) About Me  on 2010-12-29 03:24:48 (Show Source):
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A Suzuki Khyber car journey takes 4/1/2 (4 whole 1 over 2) hrs when the car travels at an average speed of 120 km/h. Calculate the time taken for the same journey when the average speed is reduced to 108 km/h.
...
Time = 4 1/2 hours = 9/2 hours
speed = 120 km/h
...
Distance = 120*9/2
Distance = 60*9
Distance = 540 km.
...
Distance = 540 km
speed = 108 km/h
time = 540/108
Time = 5 hours
...
m.ananth@hotmail.ca


Graphs/389199: y + x = 2
graph the equation and identify the y intercept
1 solutions

Answer 275734 by mananth(12270) About Me  on 2010-12-29 03:20:25 (Show Source):
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y + x = 2
graph the equation and identify the y intercept
...
y=-x+2
..
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C%28-x%2B2%29%29
y=2 the y intercept
...
m.ananth@hotmail.ca


Miscellaneous_Word_Problems/389201: A paper box without a lid is 25 cm long, 16cm wide and 5 cm deep. How many square centimeters of paper have been used to make the box.
1 solutions

Answer 275733 by mananth(12270) About Me  on 2010-12-29 03:16:45 (Show Source):
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A paper box without a lid is 25 cm long, 16cm wide and 5 cm deep. How many square centimeters of paper have been used to make the box.
..
surface area of box is the paper used.
...
1*(L*W)+2*(L*H)+2*(W*H)
...
1*(25*16)+2*(25*5)+2(16*5)
=810 cm^2
...
m.ananth@hotmail.ca


Rate-of-work-word-problems/389191: The amount of pollutants A entering the atmosphere is directly proportional to the population P living in an?
area .If 25 000 tons of pollutants enter the atmosphere in an area with a population of 17 750, how many tons of pollutants enter the atmosphere in Manila with a population of 2 450 500?
with solutions please
1 solutions

Answer 275727 by mananth(12270) About Me  on 2010-12-29 02:09:57 (Show Source):
You can put this solution on YOUR website!
The amount of pollutants A entering the atmosphere is directly proportional to the population P living in an?
area .If 25 000 tons of pollutants enter the atmosphere in an area with a population of 17 750, how many tons of pollutants enter the atmosphere in Manila with a population of 2 450 500?
with solutions please
...
A alpha P
A=KP where K is a constant.
...
25 000 tons of pollutants enter the atmosphere in an area with a population of 17 750,
25,000=K*17,750
K= 25,000/17,750
K=1.408
...
Manila with a population of 2 450 500
P=2 450 500
K= 1.408
...
A= 1.408*2,450,500
A=3,450,304 Tons
...
m.ananth@hotmail.ca


Finance/389188: The cost of a color film for 12 photographs is normally $1.08. Additionally the cost of printing the 12 photographs is normally $1.92.
a) Show that the total cost of each photograph is normally 25 cents,
b) One shop decides to sell 3 films for the price of 2 films. The cost of printing remains $1.92 for each film. Calculate the total cost of each photograph at this shop.
c) A second shop keeps the price of the film $1.08 and offers a reduction of 25 % off the cost of printing. Calculate the total cost of each photograph at this shop.
d) Calculate the percentage reduction in the total cost, of a photograph obtained from the second shop.

1 solutions

Answer 275726 by mananth(12270) About Me  on 2010-12-29 01:25:25 (Show Source):
You can put this solution on YOUR website!
The cost of a color film for 12 photographs is normally $1.08. Additionally the cost of printing the 12 photographs is normally $1.92.
a) Show that the total cost of each photograph is normally 25 cents,
let us solve in cents.
...
cost of film $1.08 = 108 cents
cost of printing = 192 cents
Total= 300 cents
..
cost per photograph = 300/25
=25 cents
...
b) One shop decides to sell 3 films for the price of 2 films. The cost of printing remains $1.92 for each film. Calculate the total cost of each photograph at this shop.
3 films cost 108*2 = 216 cents
printing = 192*3=576 cents
Total: 216+576=792 cents
Cost per photograph = 792/36
Cost per photograph = 22 cents
...
c) A second shop keeps the price of the film $1.08 and offers a reduction of 25 % off the cost of printing. Calculate the total cost of each photograph at this shop.
..
Cost of film = 108 cents
cost of printing = 192 less 25%
cost of printing = 192 *0.75 = 144 cents
Total cost for 12 photographs = 108+144=252 cents
cost per photograph = 252/12
cost per photograph = 21 cents
...
d) Calculate the percentage reduction in the total cost, of a photograph obtained from the second shop.
22-21 =1 cent cheaper
1/22*100 =4.54% reduction
...
m.ananth@hotmail.ca


Surface-area/389189: A 48 cm long wire is bent to form a rectangle whose length is twice it's width. Find the length and area of this rectangle.
1 solutions

Answer 275725 by mananth(12270) About Me  on 2010-12-29 01:06:22 (Show Source):
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A 48 cm long wire is bent to form a rectangle whose length is twice it's width. Find the length and area of this rectangle.
...
width x
length =2x
..
perimeter = 48
...
2*(L+W)=48
2*(2x+x)=48
/2
3x=24
/3
x= 8 cm the width.
length = 2x = 2*8=16 cms
more info write with email address
..
m.ananth@hotmail.ca


Equations/389026: How to solve this?
2x^2+1=-5x
Thank you!
1 solutions

Answer 275498 by mananth(12270) About Me  on 2010-12-28 05:40:43 (Show Source):
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How to solve this?
2x^2+1=-5x
add 5x
2x^2+5x+1=0
...
We have to find the roots of the equation using quadratic formula.
..
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
a= 1, b = 5, c= 1
b^2-4ac = 17
x1=%28-5%2Bsqrt%2817%29%29%2F%284%29
x1=-0.219
x1=%28-5-sqrt%2817%29%29%2F%284%29
x2=-2.280
...
m.ananth@hotmail.ca


Linear-systems/389011: With a fixed amount of money $M, Mrs. Ushna Tehseen can use it to pay the wages of a local worker for 40 days or to pay the wages of an unskilled foreign worker for 60 days. If she employs one local worker and one unskilled worker foreign worker for a top secret project, how many days will the $M be enough to pay for these two workers?
1 solutions

Answer 275497 by mananth(12270) About Me  on 2010-12-28 05:29:04 (Show Source):
You can put this solution on YOUR website!
With a fixed amount of money $M, Mrs. Ushna Tehseen can use it to pay the wages of a local worker for 40 days or to pay the wages of an unskilled foreign worker for 60 days. If she employs one local worker and one unskilled worker foreign worker for a top secret project, how many days will the $M be enough to pay for these two workers?
...
local worker gets M/40 per day
Foreign worker gets M/60 per day
Total per day if both are employed = M/40 + M/60
(3M+2M)/120 for 1 day.
=5M/120 for 1 day
Total money $ M
wages /day = 5M/120
...
Number of days = total money / wages per day
M/ (5M/120)
M*120/5M
120/5
24 days.
m.ananth@hotmail.ca


Average/389012: 1. A full bathtub will empty at an average rate of 10 minutes. It will fill up to full at an average rate of 8 minutes if the plug is in. How long will it take to fill up to full if the plug is removed and the tap is turned on?

1 solutions

Answer 275496 by mananth(12270) About Me  on 2010-12-28 05:17:42 (Show Source):
You can put this solution on YOUR website!
A full bathtub will empty at an average rate of 10 minutes. It will fill up to full at an average rate of 8 minutes if the plug is in. How long will it take to fill up to full if the plug is removed and the tap is turned on?
...
filling 8 minutes
1/8 of the job in 1 minute.
...
emptying 10 minutes
1/10 of this job in 1 minute.
..
1/8 -1/10 = effective filling in 1 minute
LCD = 40
(5-4)/40=1/40 of the job of filling in 1 minute.
So when plug is open it will take 40/1 minutes
40 minutes to fill the tub.
...
m.ananth@hotmail.ca


Inequalities/388998: what is 2x+8>24

1 solutions

Answer 275469 by mananth(12270) About Me  on 2010-12-27 22:50:03 (Show Source):
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what is 2x+8>24
2x+8>24
-8 -8
2x+8-8>24-8
2x>16
/2
2x/2 > 16/2
x>8
...
m.ananth@hotmail.ca


Geometry_Word_Problems/388981: you want to make a square-bottomed, open top box with a height of three inches and a volume of approximately 60 inches. you will take a square piece of metal and cut three-inch squares from each corner. you will then fold up the edges and weld them together to form the box. what should be the dimensions of the original piece of metal, to the nearest tenth of an inch?
1 solutions

Answer 275467 by mananth(12270) About Me  on 2010-12-27 22:48:42 (Show Source):
You can put this solution on YOUR website!
you want to make a square-bottomed, open top box with a height of three inches and a volume of approximately 60 inches. you will take a square piece of metal and cut three-inch squares from each corner. you will then fold up the edges and weld them together to form the box. what should be the dimensions of the original piece of metal, to the nearest tenth of an inch?
...
let the length of side of the metal sheet be x inches.
you cut 3 in. square corners
so you reduce the length of the sheet by 6 inches.
Length of the side of the box = (x-6) inches.
Volume V = L*W*H( in this case L=W)
Volume = 60 cu.in
(x-6)(x-6)*3 = 60
(x-6)^2*3=60
/3
(x-6)^2= 20
take the square root
(x-6) = sqt 20
x-6 = 4.47
x= 6+4.47
x= 10.5 inches. The measure if the side of the sheet.
10.5 by 10.5 inches
..
m.ananth@hotmail.ca


Age_Word_Problems/388997: The sum of two numbers is 27. One half of the first number plus one third of the second number is 11. Find the numbers.
1 solutions

Answer 275465 by mananth(12270) About Me  on 2010-12-27 22:39:41 (Show Source):
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The sum of two numbers is 27. One half of the first number plus one third of the second number is 11. Find the numbers.
...
let the numbers be x & y
...
x+y =27..............1
x/2 + y/3 = 11
LCD = 6
multiply by 6
3x+2y=66.............2
multiply (1) by -3
-3x-3y=-81
add this to (2)
-3x+3x-3y+2y=-81+66
-y=-15
y=15
...
plug y in (1)
x=12
...
m.ananth@hotmail.ca


Linear_Algebra/388989: (a+b)^6 = c^2(a+b)^2(b+a)^2
In equation above a,b,and c are positive integers. Which of the following must be equal to b
a. c-a
b.a-c
c. c^2-a^2
d. (a-c)^2
e. (c-a)^2
1 solutions

Answer 275460 by mananth(12270) About Me  on 2010-12-27 22:34:17 (Show Source):
You can put this solution on YOUR website!
(a+b)^6 = c^2(a+b)^2(b+a)^2
In equation above a,b,and c are positive integers. Which of the following must be equal to b
(a+b)^6 = c^2(a+b)^2(b+a)^2
(a+b)^6=c^2(a+b)^4
divide by (a+b)^4
(a+b)^2=c^2
Take the square root of the equation
sqrt%28%28a%2Bb%29%5E2%29=+sqrt%28c%5E2%29
a+b = c
-a
b=c-a


Geometry_Word_Problems/388996: If a^2-b^2=70 and a-b=7, what is the value of a?
1 solutions

Answer 275456 by mananth(12270) About Me  on 2010-12-27 22:28:15 (Show Source):
You can put this solution on YOUR website!
If a^2-b^2=70 and a-b=7, what is the value of a?
...
a^2-b^2= 70
(a+b)(a-b)=70
a-b=7
substitute the value of a-b
(a+b)*7=70
/7
a+b=10
a-b=7
add them up
2a=17
/2
a= 17/2
b=1.5
...
Check
a^2-b^2=70
(17/2)^2-(1.5)^2 =70
...
m.ananth@hotmail.ca


Geometry_Word_Problems/388992: let f(x)=x+2 and g(x)= 1-x^2. Which of the following properly expresses g(f(x+1))?
a. -x^2+6x+10
b. -x^2-6x-8
c. -x^2+x+3
d. x^2-6x+8
e. x^2-x+10
1 solutions

Answer 275452 by mananth(12270) About Me  on 2010-12-27 22:22:18 (Show Source):
You can put this solution on YOUR website!
let f(x)=x+2 and g(x)= 1-x^2. Which of the following properly expresses g(f(x+1))?
option
f(x+1)=x+1+2
=x+3
...
g(x)=1-x^2
g(f(x+1)=1-(x+3)^2
1-(x^2+6x+9)
1-x^2-6x-9
-x^2-6x-8 option B
...
m.ananth@hotmail.ca


Age_Word_Problems/388994: Jeff is Three times as old as his son. In nine years, Jeff will be twice as old as his son. How old is each now?
1 solutions

Answer 275449 by mananth(12270) About Me  on 2010-12-27 22:16:46 (Show Source):
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Jeff is Three times as old as his son. In nine years, Jeff will be twice as old as his son. How old is each now?
Let son's age = x
Jeff age = 3x
..
after 9 years
son = x+9 years
Jeff = 3x+9 years
..
3x+9=2(x+9)
..
3x+9 = 2x+18
-2x
3x-2x+9 = 18
x+9=18
-9
x=18-9
x=9... Son's age
Jeff's age = 3x = 27 years
...
m.ananth@hotmail.ca


Linear-systems/388892: A tank can be fully filled with water using a pipe that fills 20 litres in a minute. A bigger pipe that can fill 25 litres in a minute will take one minute less to fill the same tank. How many minutes does the smaller pipe take to fill the tank?
1 solutions

Answer 275301 by mananth(12270) About Me  on 2010-12-27 05:00:38 (Show Source):
You can put this solution on YOUR website!
Time small pipe - time big pipe = 1 minute
...
Let x be the capacity of tank in liters
x/20-x/25= 1
(5x-4x)/100 =1
x= 100 liters
...
m.ananth@hotmail.ca


Linear-systems/388893: Ahmad and Ushna start off simultaneously from two towns to meet one another. If Ahmad travels 2 km/h faster than Ushna; they would meet in 3 hours. If Ushna travels 1 km/h slower and Ahmad's speed is two-thirds of his previous speed, they would meet in 4 hours. How far apart are the two towns?
1 solutions

Answer 275300 by mananth(12270) About Me  on 2010-12-27 04:57:36 (Show Source):
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Ahmad travels 2 km/h faster than Ushna; they would meet in 3 hours. If Ushna travels 1 km/h slower and Ahmad's speed is two-thirds of his previous speed, they would meet in 4 hours. How far apart are the two towns?
...
Ushna --- speed = x km/h
Ahmad x+2 km/h
..
combined speed = x+x+2 = 2x+2 km/h
..
D= speed * time
D= 3*(2x+2)
...
Ushna (x-1)
Ahmad 2/3(x+2)
combined speed = 2/3(x+2)+(x-1)
combined speed = 2x/3 + 4/3 +x-1
combined speed = 5x/3 +1/3
...
D= 4*(5x/3+1/3)
...
4*(5x/3+1/3)=3(2x+2)
20x/3+4/3 = 6x+6
20x/3-6x=6-4/3
(20x-18x)/3=14/3
2x=14
2x=14
x= 7 km/h Ushna's speed.
...
D= 3(2x+2)
D=3(14+2)
D= 48 km. Distance between two towns
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m.ananth@hotmail.ca


Rate-of-work-word-problems/388885: A boat can travel at a speed of 15 kph in still water. The boat travels 40 km downstream on a river at the same time it takes to travel 25 km upstream. What is the speed of the river?
1 solutions

Answer 275293 by mananth(12270) About Me  on 2010-12-27 01:21:20 (Show Source):
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A boat can travel at a speed of 15 kph in still water. The boat travels 40 km downstream on a river at the same time it takes to travel 25 km upstream. What is the speed of the river?
speed of boat = 15 kph
speed of river = x kph
...
d downstream = 40 km
d upstream = 25 km
..
time upstream = time downstream
40/15+x = 25/15-x
cross multiply
40(15-x)=25(15+x)
600-40x=375+25x
600-375=40x+25x
225=65x
/65
3.46 km/h speed of current
..
m.ananth@hotmail.ca


Linear-equations/388868: The perimeter of a rectangle is 50cm. if its length exceeds its breadth by 5cm,find the dimensions of the rectangle.
1 solutions

Answer 275291 by mananth(12270) About Me  on 2010-12-27 01:11:40 (Show Source):
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The perimeter of a rectangle is 50cm. if its length exceeds its breadth by 5cm,find the dimensions of the rectangle.
...
breadth =x
length = x+5
...
2*(L+B)= Perimeter
2*(x+x+5)=50
2*(2x+5)=50
/2
2x+5 = 25
-5 -5
2x=20
/2
x= 10 cm the width
length = 15 cm.
...
m.ananth@hotmail.ca
Happy New Year


Linear-systems/388876: Ushna has enough money to buy 24 apples. If the price of each apple is reduced by 5 cents, she will be able to buy an extra 6 apples with the same sum of money. Find the original cost of the apple.
*Prove your answer is 25 cents*
1 solutions

Answer 275289 by mananth(12270) About Me  on 2010-12-27 01:06:47 (Show Source):
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Ushna has enough money to buy 24 apples. If the price of each apple is reduced by 5 cents, she will be able to buy an extra 6 apples with the same sum of money. Find the original cost of the apple.
let apple cost x cents
..
she has 24x cents
..
(x-5) cost of apple
24x/(x-5)= 30
multiply by (x-5)
24x=(x-5)*30
24x=30x-150
-30 x
24x-30x=-150
-6x=-150
/-6
x=25 cents ------original cost of apple
...
m.ananth@hotmail.ca


test/388877: I have been struggling with many of my recent math test, although I pay attention none of the things my teacher has been teaching me has been making any sense to me. I really need to improve my grade, so what do I do?
1 solutions

Answer 275284 by mananth(12270) About Me  on 2010-12-27 00:59:16 (Show Source):
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write to me for special assistance
or some free guidance .
m.ananth@hotmail.ca


Surface-area/388879: Please help me answer this question


Find the height of a triangle of area 70 square inches if its base is 20 in. long. State your answer in inches.

1 solutions

Answer 275283 by mananth(12270) About Me  on 2010-12-27 00:56:01 (Show Source):
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Find the height of a triangle of area 70 square inches if its base is 20 in. long. State your answer in inches.
...
Area of traingle = 1/2 * base * height
70=1/2*20*h
h= 2*70/20
h = 7 inches
..
m.ananth@hotmail.ca


Numbers_Word_Problems/388881: Please help me solve this problem.
An express train travels 150 km. in the same time that a freight train travels 100 km. If the express train goes 20 km. per hour faster than the freight train, find the rate of each.
1 solutions

Answer 275281 by mananth(12270) About Me  on 2010-12-27 00:51:52 (Show Source):
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An express train travels 150 km. in the same time that a freight train travels 100 km. If the express train goes 20 km. per hour faster than the freight train, find the rate of each.
...
freight train speed = xkm/h
express train = x+20 km/h
...
freight train d= 100 km
express train d= 150 km
..
time freight = time express
t=d/r
..
100/x= 150/(x+20)
cross multiply
100(x+20)=150x
100x+2000=150x
2000=150x-100x
2000=50x
/50
2000/50 = x
40 = x freight train speed
..
express train speed = x+20 =40+20 =60 km/h


Polynomials-and-rational-expressions/388810: Can someone help me solve this problem Find GCF
3x^3, 3x, -12 What is the GCF___?

1 solutions

Answer 275218 by mananth(12270) About Me  on 2010-12-26 07:24:53 (Show Source):
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3x^3, 3x, -12 the GCF is _3__


Miscellaneous_Word_Problems/388064: 1.if a piece of wood is 5cm longer than a second piece and 3/4 of the second piece is equal to the 3/5 of the first what is the length of the second piece?
2.a man walked for some distance at 8km/h and for an equal distance at 5km/h.the total time he took was 13/4 hours.find the total distance he walked
3.a man cycled for some time at 16km/h and returned at 15 km/h. the total time was taken was 31/4 hours. find the total distance he cycled?
4.a cyclist goes from one village to another at 28 km/h. he returns at 24 km/h. if the return journey takes two hours longer than the outward outward journey.what is the distance between the villages ?
5.a boy has a certain number of sweets. if he eats 16 a day they will last him 2 days longer than if he eats 18 a day. how many sweets has ha ?
1 solutions

Answer 275076 by mananth(12270) About Me  on 2010-12-24 05:57:01 (Show Source):
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1.if a piece of wood is 5cm longer than a second piece and 3/4 of the second piece is equal to the 3/5 of the first what is the length of the second piece?
...
second piece = x cm
first piece = x+5 cm
...
%283%2F5%29%2A%28x%2B5%29=%283%2F4%29%2Ax
...
%28x%2B5%29=5x%2F4
...
4(x+5)=5x
4x+20=5x
5x-4x=20
%28highlight%28x=20%29%29 cm the length of second piece.
....
2.a man walked for some distance at 8km/h and for an equal distance at 5km/h.the total time he took was 13/4 hours.find the total distance he walked
..
let distance = x
x/8 + x/5 = 13/4
LCD = 40
multiply equation by 40
5x+8x=130
13x=130
/13
x=10 km
%28highlight%28x=10%29%29 km
3.a man cycled for some time at 16km/h and returned at 15 km/h. the total time was taken was 31/4 hours. find the total distance he cycled?
..
let distance be x km
x/16+x/15 = 31/4
LCD = 960
multiply equation by 960
60x+64x=240*31
124x=7440
/124
%28highlight%28x=60%29%29 kmx= 60 km
...
4.a cyclist goes from one village to another at 28 km/h. he returns at 24 km/h. if the return journey takes two hours longer than the outward outward journey.what is the distance between the villages ?
..
let distance be x km
x/24-x/28 =2
LCD =1344
56x-48x=672
8x=672
/8
x= 84 km
%28highlight%28x=84%29%29 km

5.a boy has a certain number of sweets. if he eats 16 a day they will last him 2 days longer than if he eats 18 a day. how many sweets has ha ?
sweets = x
x/16-x/18 =2
LCD= 576
36x-32x=288
4x=288
/4
%28highlight%28x=72%29%29 sweets
...
m.ananth@hotmail.ca


Linear-systems/388694: metro concerts can rent a truck for either $55 with unlimited mileage or $29 plus 40 cents per mile.For what mileages would the unlimited mileage plan save money?
1 solutions

Answer 275075 by mananth(12270) About Me  on 2010-12-24 05:15:38 (Show Source):
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metro concerts can rent a truck for either $55 with unlimited mileage or $29 plus 40 cents per mile.For what mileages would the unlimited mileage plan save money?
..
$55 unlimited
$29 +0.40 /mile
nuber of miles = x
...
55<29+0.4x
-29
55-29<0.4x
26<0.4x
/0.4
26/0.4 x>65 miles .
Unlimited plan will be cheaper when the mileage is more than 65 miles.
...
m.ananth@hotmail.ca


Average/388696: the average weight of 5-man Freshman basketball team was thought to be 60 kg. However, a mistake was made-- one of the weights was written down wrong. Once the mistake was found, and that one weight was changed to the right value of 80 kg, the correct average turned out to be 70 kg. What was the mistaken value? That is, what was written down at first instead of 80 kg?
1 solutions

Answer 275074 by mananth(12270) About Me  on 2010-12-24 05:09:28 (Show Source):
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the average weight of 5-man Freshman basketball team was thought to be 60 kg. However, a mistake was made-- one of the weights was written down wrong. Once the mistake was found, and that one weight was changed to the right value of 80 kg, the correct average turned out to be 70 kg. What was the mistaken value? That is, what was written down at first instead of 80
...
let the weight noted be x kg?
..
5 men .... average = 60...... total weight = 300 kg.
...
(300 -x +80)/5 = 70
380-x= 350
add -380
-x=350-380
-x=-30
/-1
x= 30 this was the weight recorded earlier.
...
m.ananth@hotmail.ca