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Travel_Word_Problems/381940: it takes rob 4 hours to paint a room. it takes darrin 3 hours to paint a room the same size. how long it take them to paint a similar sized room together
1 solutions
Answer 270828 by mananth(12270)   on 2010-12-06 19:18:04 (Show Source):
You can put this solution on YOUR website!Rob 4 hours
Darrin 3 hours
..
Rob does 1/4 of the job in 1 hour
Darrin does1/3 of the job in 1 hour.
..
both together will do 1/4 +1/3 of the job in 1 hour
..
1/4 +1/3 = 7/12 of the job in 1 hour.
they will take 12 /7 hours to do the job together.
=1.7 hours
...
m.ananth@hotmail.ca
|
Miscellaneous_Word_Problems/381518: It takes a train the same time to travel 450 km as it takes a bus to travel 300 km. If the bus is traveling 30 km/h slower than the train, find the rate at which each is traveling.
Pls. ans. this....
1 solutions
Answer 270598 by mananth(12270) on 2010-12-06 08:45:19 (Show Source):
You can put this solution on YOUR website!train rate = x
bus rate = x-30
..
train distance = 450 miles
bus distance = 300 miles
..
time bus = time train
450/x= 300/(x-30)
cross mulyiply
450(x-30)=300x
450x-13500=300x
450x-300x=13500
150x=13500
/150
x=13500/150
rate of train = 90 mph.
rate of bus = 90-30 = 60 mph
...
m.ananth@hotmail.ca
|
Volume/381437: what is the height of a cylinder that can hold 8,000 litres of water if its diameter is 1.5 meters?
1 solutions
Answer 270596 by mananth(12270) on 2010-12-06 08:41:22 (Show Source):
You can put this solution on YOUR website!Diameter = 1.5 m
radius = 0.75 m
..
Volume V of cylinder = pi*r^2*h
8000 liters = 8 m^3
8=pi^0.75^2*h
h=8/(0.75^2)*pi
h = 4.527 meters
..
m.ananth@hotmail.ca
|
Quadratic_Equations/381454: i need your help to this problem. can you help me?here's the prob.
A man is at a point A on the bank of a straight river. he can row in a still water at a rate which is 20 per cent faster than he can walk. if he rows downstream to a point B, which is 4 mi. below A and on the same side of the river, and then walks, in a direction which is perpendicular to the river, to a point C, 3mi. from B, it takes him the same amount of time that it thus to walk straight from A to c. if he walks back from C to B and then rows upstream to A, the return trip takes him an hour and 36min. longer. find his rate of walking, his rate of rowing in still water, and the rate of the current of the river.
1 solutions
Answer 270591 by mananth(12270) on 2010-12-06 08:31:16 (Show Source):
You can put this solution on YOUR website!...
This is a multi stage problem
..
Let walking rate be x mph
Rowing rate in still water = 1.2x ( 20% more)
....
Let rate of current = y mph
Calculate time A---->B-------->C
Ato B (down stream)
time = 4/(1.2x+y)
..
B to C (walk)
time = 3/x
Time A to B to C
=4/(1.2x+y)+3/x
...
AC ^2 = AB^2 +BC^2
AC^2=4^2+3^2
AC^2=25
AC = 5 miles
Time to walk from A to C = 5/x
...
Time from A to B to C = Time from A to C (walking)
4/(1.2x+y) + 3/x = 5/x
4/(1.2x+y)= 5/x-3/x
4/(1.2x+y)= 2/x
cross multiply
4x=2(1.2x+y)
4x=2.4x+2y
4x-2.4x=2y
1.6x=2y
/2
0.8x= y speed of current
...
TIME RETURN
3/x + 4/(1.2x-y)(upstream)
...
Time return - time forward = 8/5 hours
..
(3/x + 4/(1.2x-y))- (4/(1.2x+y) + 3/x)= 8/5
y=0.8x
plug value of y
..
(3/x + 4/(1.2x-0.8x))- (4/(1.2x+0.8x) + 3/x)= 8/5
..
(3/x +4/0.4x)-(4/2x+3/x)=8/5
..
(3/x+10/x)-(2/x+3/x)=8/5
...
(13/x)-(5/x)=8/5
8/x=8/5
x=5 mph rate of walk.
Rate of rowing in still water = 1.2x = 1.2 * 5 = 6 mph.
..
Cheers
m.ananth@hotmail.ca
|
Travel_Word_Problems/381491: 2 cars leave the same corner at the same time, traveling at right angles to each other. One car is traveling 3 km per hour faster than the other car. After 1 hour they are 15 km apart. How fast is each car traveling?
1 solutions
Answer 270571 by mananth(12270) on 2010-12-06 07:35:54 (Show Source):
You can put this solution on YOUR website!let speed of one car be x kmph
other car = x+3 kmph
...
distance traveled by first car in1 hour = x km
distance traveled by other car = x+3 km
..
they are at distance of 15 km
..
apply pythagoras theorem
..
x^2+(x+3)^=15^2
x^2+x^2+6x+9=225
2x^2+6x-216=0
/2
x^2+3x-108=0
x^2+12x-9x-108=0
x(x+12)-9(x+12)=0
(x+12)(x-9)=0
x=9 km /h speed of one car.
speed of other car = 9+3 = 12 km/h
...
m.ananth@hotmail.ca
|
Linear-equations/381427: The line through (3,4) that is parallel to the line 5x+3y=9. Write the equation of each line giving answers in standard form.
1 solutions
Answer 270543 by mananth(12270) on 2010-12-06 01:02:29 (Show Source):
You can put this solution on YOUR website!The line through (3,4) that is parallel to the line 5x+3y=9. Write the equation of each line giving answers in standard form.
...
5x+3y= 9
-5x -5x
3y=-5x+9
/3
y = -5x/3 +3
..
slope = (-5/3)
...
The line parallel will have same slope.
slope = (-5/3) point = (3,4)
..
find b
4=(-5/3)*3 +b
4=-15+b
b=19
..
y = -5x/3 + 19
..
standard form
multipl;y by 3
3y=-5x+57
5x+3y-57 =0
...
...
m.ananth@hotmail.ca
|
Quadratic_Equations/381299: A 60 foot by 80 foot rectangular walk in a park surrounds a flower bed. If the walk is of uniform width and its area is equal to the area of the flower bed, how wide is the walk? Set up a quadratic equation, factor, and solve.
1 solutions
Answer 270539 by mananth(12270) on 2010-12-06 00:54:15 (Show Source):
You can put this solution on YOUR website!width of walk = 60 feet
length = 80 feet
..
Area = 4800 ft^2
..
uniform width w
..
GARDEN dimensions
width = 60-2w
length = 80-2w
...
Area of garden = (60-2w)(80-2w)
FOIL
Area = 4800-120w-160w+4w^2
Area = 4w^2-280w+4800
..
Total area / area of garden = 2
4800 / 4w^2-280w+4800 = 2
4800/2 = 4w^2-280w+4800
2400 =4w^2-280w+4800
4w^2-280w+4800-2400=0
4w^2-280w+2400=0
/4
w^2-70w+600=0
w^2-60w-10w+600=0
w(w-60)-10(w-60)=0
(w-60)(w-10)=0
w= 60 OR 10
ignore 60
..
width = 10 feet
...
m.ananth@hotmail.ca
|
Travel_Word_Problems/381370: When a plane flies into the wind, it can travel 3,000 km in 6 hours. When it flies with the wind, it can travel the same distance in 5 hours. Find the rate of the plane in still air and the rate of the wind.
1 solutions
Answer 270532 by mananth(12270) on 2010-12-06 00:25:57 (Show Source):
You can put this solution on YOUR website!speed of plane = p
speed of wind = w
..
tail wind speed = p+w mph
against wind speed = p-w
..
distance tailwind = 3000 miles
time = 5 hours
..
t=d/r
5=3000/(p+w)
multiply by (p+w)
5(p+w)=3000
/5
p+w = 600...................1
..
Against wind
6=3000/(p-w)
6(p-w)=3000
/6
p-w=500.....................2
..
add 1&2
2p=600+500
2p=1100
/2
p=550 mph
...
p+w = 600
550+w=600
w=50 mph
..
m.ananth@hotmail.ca
|
Functions/381390: Write an equation for each of the following situations:
(a) Find the area A of a rectangle with a height x and a width twice the height.
(b) What is the cost C of going to the movie, if a ticket for each of the x adults is $6 and a ticket for each of the y children is $4?
1 solutions
Answer 270525 by mananth(12270) on 2010-12-06 00:11:01 (Show Source):
You can put this solution on YOUR website!height = x
width = 2x
L*W= Area
2x*x= Area
2x^2 sq. units
..
x adults ---adult = $6
y children ---- child =$4
...
C = 6x+4y
...
m.ananth@hotmail.ca
|
Miscellaneous_Word_Problems/381395: A boeing 747 flies the 3000 mile distance from Los Angeles to New York, with a tail wind, in 5 hours. The return trip, against the wind, take 6 hours. Find the speed of the plane and the speed of the wind.
1 solutions
Answer 270522 by mananth(12270) on 2010-12-06 00:07:12 (Show Source):
You can put this solution on YOUR website!speed of plane = p
speed of wind = w
..
tail wind speed = p+w mph
against wind speed = p-w
..
distance tailwind = 3000 miles
time = 5 hours
..
t=d/r
5=3000/(p+w)
multiply by (p+w)
5(p+w)=3000
/5
p+w = 600...................1
..
Against wind
6=3000/(p-w)
6(p-w)=3000
/6
p-w=500.....................2
..
add 1&2
2p=600+500
2p=1100
/2
p=550 mph
...
p+w = 600
550+w=600
w=50 mph
..
m.ananth@hotmail.ca
|
Polynomials-and-rational-expressions/381396: Short Answer. The length of the side of a rectangular desk is given by 9x - 2y cm. The length of the front is given by 9x + 2y cm. What is an algebraic expression for the area of the top of the rectangular desk? Include correct units as part of your answer.
1 solutions
Answer 270520 by mananth(12270) on 2010-12-06 00:00:08 (Show Source):
You can put this solution on YOUR website!side of a rectangular desk is given by 9x - 2y cm.
The length of the front is given by 9x + 2y cm.
...
Area = L*W
(9x-2y)(9x+2y)=Area
(81x^2-4y^2)cm^2= Area
...
m.ananth@hotmail.ca
|
Linear-equations/381411: Write the equation of each line, give the answer in slope intercept form.
The line through (-1,-2) with slope 3/7.
1 solutions
Answer 270518 by mananth(12270) on 2010-12-05 23:55:49 (Show Source):
You can put this solution on YOUR website!The line through (-1,-2) with slope 3/7.
..
Find b in y= mx+b
..
-2=3/7 * -1+b
-2=-3/7+b
-2+3/7=b
-11/7 =b
...
y=3x/7 -11/7
...
m.ananth@hotmail.ca
...
|
Polynomials-and-rational-expressions/381407: Short Answer. The length of the side of a rectangular desk is given by 9x - 2y cm. The length of the front is given by 9x + 2y cm. What is an algebraic expression for the area of the top of the rectangular desk? Include correct units as part of your answer.
1 solutions
Answer 270509 by mananth(12270) on 2010-12-05 23:39:08 (Show Source):
You can put this solution on YOUR website!side of a rectangular desk is given by 9x - 2y cm.
The length of the front is given by 9x + 2y cm.
...
Area = L*W
(9x-2y)(9x+2y)=Area
(81x^2-4y^2)cm^2= Area
...
m.ananth@hotmail.ca
|
Equations/381402: I need to solve this equation: 10/(x^2-2x)+4/x=5/(x-2)
so far I have 4x+2/(x^2-2x) = 5x/(x^2-2x)
Is this correct so far and where do I go from here?
1 solutions
Answer 270506 by mananth(12270) on 2010-12-05 23:36:01 (Show Source):
You can put this solution on YOUR website!10/(x^2-2x)+4/x=5/(x-2)
....
 )
...
...
LCD = x(x-2)
multiply by x(x-2)
..
..
10+4*(x-2)-5(x-2)=0
10+4x-8-5x+10=0
-x+12=0
x=12
...
m.ananth@hotmail.ca
|
Travel_Word_Problems/381374: A Leisure Time Cruises riverboat travels 46 km downstream in 2 hours. It travels 51 km upstream in 3 hours. Find the speed of the boat and the speed of the water.
1 solutions
Answer 270488 by mananth(12270) on 2010-12-05 22:16:27 (Show Source):
You can put this solution on YOUR website!A Leisure Time Cruises riverboat travels 46 km downstream in 2 hours. It travels 51 km upstream in 3 hours. Find the speed of the boat and the speed of the water.
rate of boat = b
rate of current = c
...
upstream speed = b-c mph
downstream speed = b+c mph
..
t= d/r
Upstream
51/(b-c)=3
multiply by (b-c)
51=3(b-c)
/3
17 = b-c
b-c = 17............................1
...
downstream
46/(b+c)=2
multiply by (b+c)
46= 2(b+c)
/2
b+c=23..............................2
...
add 1 & 2
2b=17+23
2b=40
/2
b=40/2
b=20 mph
...
b-c=17
20-c=17
c=3 mph
...
m.ananth@hotmail.ca
|
Numbers_Word_Problems/381365: eight times the sum of three consecutive even integers is 98 more than 23 times the smallest of the three integers. what are the integers?
1 solutions
Answer 270486 by mananth(12270) on 2010-12-05 22:04:43 (Show Source):
You can put this solution on YOUR website!let the integers be n,n+2,n+4
...
8times the sum
8*(n+n+2+n+4)
8*(3n+6)
...
23 times smallest = 23n
add 98
23n+98
...
8(3n+6)=23n+98
24n+48=23n+98
-23n -23n
24n-23n+48=23n-23n+98
n+48=98
-48 -48
n+48-48=98-48
n=50
...
the numbers are 50, 52,54
..
m.ananth@hotmail.ca
|
Miscellaneous_Word_Problems/381316: solve.
moolah has 24 coins that are all dimes and quarters.the value of the coins is $3.75. how many dimes and how many quarters does moolah have?
these are the equations i came up with
d=10 q=25 d+q=24 10d+25q=$3.75
1 solutions
Answer 270483 by mananth(12270) on 2010-12-05 21:48:02 (Show Source):
You can put this solution on YOUR website!d=10 q=25
d+q=24 .............................1
10d+25q=$3.75
3.75 = 375 cents
...
10d+25q=375.........................2
..
solve by addition
multiply (1) by -10
-10d-10q=-240
add it to (2)
25q-10q=375-240
15q=135
/15
q=135/15
q= 9
...
plug value of q in 1
d+q=24
d+9=24
d=15
..
CHECK
10*15+9*25
=150+225
=375.
m.ananth@hotmail.ca
|
Expressions-with-variables/381303: Solve the system of equations by the addition method.
x/4-y/12=-1
x/3+y/9=-2
1 solutions
Answer 270447 by mananth(12270) on 2010-12-05 20:38:00 (Show Source):
You can put this solution on YOUR website!x/4-y/12=-1
LCD =12
3x-y /12 =-1multiply by 12
3x-y=-12.........................1
x/3+y/9=-2
lCD=9
(3x+y)/9 = -2
multiply by 9
3x+y=-18.........................2
Add (1)&(2)
6x=-12+-18
6x=-30
/6
x=-5
...
plug value of x in 2
-15+y=-18
+15 +15
y=-3
...
m.ananth@hotmail.ca
|
Graphs/381298: 17)Find the slope of the line that is (a)parallel and (b)perpendicular to the line through the pair of points.
(-4,-6) and (1,3)
For both, type an integer and simplified fraction.
1 solutions
Answer 270446 by mananth(12270) on 2010-12-05 20:27:19 (Show Source):
You can put this solution on YOUR website!(-4,-6) and (1,3)
slope m of the line passing through above points =
=y2-y1 / x2-x1
=((3-(-6))/((1-(-4))
=(9/5)
...
slope of line parallel to this linewill be the same = 9/5
..
Find the value of b
plug x,y, & b in y= mx +b
-6=9/5*-4 +b
-6+36/5 =b
(-30+36)/5 =b
b= 6/5
..
equation of line parallel to the line will be
y= 9/5 *x +6/5
Y = 1.8 X + 1.20
....
Line perpendicular will have slope of negative reciprocal= -5/9
y= -5/9x +6/5
y=--0.55x+1.20
...
...
m.ananth@hotmail.ca
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Expressions-with-variables/381295: The sum of the angle of a triangle is 180〫. If one angle of a triangle measures x and the second angle measures (5x+18)〫, express the measure of the third angle in terms of x. Simplify the expression.
1 solutions
Answer 270440 by mananth(12270) on 2010-12-05 20:13:40 (Show Source):
You can put this solution on YOUR website!One angle = x
second angle = (5x+18)
third angle = 180 - (x+5x+18)
third angle = 180-(6x+18)
third angle = 180 -6x-18
third angle = 
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