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Travel_Word_Problems/562708: Daily rate is $39 + 0.20 per mile, Rent car for 1 day, the bill is $95 before taxes. How many miles did you drive.
Am I setting this equation up right? Here is what I have.
39+ 0.20 (1) = 95 If not how??
1 solutions
Answer 364653 by mananth(12270)   on 2012-01-25 19:48:52 (Show Source):
You can put this solution on YOUR website!$39 + 0.20 per mile,
if you drive only 1 mile it will cost 39.20
if you drive x miles it will cost (%
$39 + 0.20(x)=95
0.2x=95-39
0.2x=56
/0.2
x=56/0.2
x=280 miles
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Linear-equations/562342: write the equation of the line that is parallel to the line y=-3+12 and passes through the point (-1,6)
1 solutions
Answer 364551 by mananth(12270) on 2012-01-25 09:28:39 (Show Source):
You can put this solution on YOUR website!1 y = -3 x + 12
Divide by 1
y = -3 x + 12
Compare this equation with y=mx+b
slope m = -3 0.8
The slope of a line parallel to the above line will be the same
The slope of the required line will be -3
m= -3 ,point (-1,6 )
Find b by plugging the values of m & the point in
y=mx+b
6 = 3 + b
b= 3
m= -3
Plug value of the slope and b in y = mx +b
The required equation is y= -3x + 3
m.ananth@hotmail.ca
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Volume/562335: I have two aquariums. One is 12x18x30. The other is 13x24x30. how many gallons of water will fit into each of them.
1 solutions
Answer 364545 by mananth(12270) on 2012-01-25 08:55:08 (Show Source):
You can put this solution on YOUR website!I presume they are in feet
One is 12x18x30.
Volume = L*W*H
12x18x30=6480 cu.ft
The other is 13x24x30
=9360
9360+6480 =14840 cu.ft
1 cu.ft = 7.48 gallons
14840/7.48= 1984 gallons ( rounded off)
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Travel_Word_Problems/562297: the speed of a freight train is 14 mph slower than that of passanger train.if the passenger train travels 400 miles in the time it take the freight train to travel 70 fewer miles ,what is the speed of the passenger train
1 solutions
Answer 364543 by mananth(12270) on 2012-01-25 08:46:08 (Show Source):
You can put this solution on YOUR website!Freight train x 330 miles
Passenger train x+14 400 miles
330/x=400/(x+14)
330/x-400(x+14)
LCD = x(x+14) =
Multiply by LCD
330(x+14)-400x= 0
330x+4620-400*x =0
-70x+4620=0
-70x=-4620
/-70
x=66 speed of Freight train
x+14=> 80 speed of Passenger train
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Linear-equations/562307: I am needing help setting up this problem and solving. Thank you so much in advance, I'll be sure to leave comments and like your page!
Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph.
2x + 3y = 9
1 solutions
Answer 364539 by mananth(12270) on 2012-01-25 08:16:25 (Show Source):
You can put this solution on YOUR website!equation
2x+3y=9
rewrite the equation in slope intercept form
3y=-2x+9
/3
y=(-2/3)x+3
compare equation with y=mx+b
m=(-2/3) the slope
+3 = y intercept
when y = 0 x=4.5 the x intercept
when x= 0 y= 3 ( 0 , 3 )
when y = 0 x= 4.5 ( 4.5 , 0 )
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Rate-of-work-word-problems/562282: at 7:00 am joe starts jogging at 6mi/h . At 7:10 Ken starts off after him. How fast must ken run in order to overtake him at 7:30
1 solutions
Answer 364526 by mananth(12270) on 2012-01-25 01:38:33 (Show Source):
You can put this solution on YOUR website!Joe speed = 6 mph
Ken speed = x mph
Joe starts 10 minutes early
so he has run 6*10/60 = 1 mile before ken starts
distance Ken has to run to catch up = 6-1=5 miles
catchup time = 20 minutes ( from 7:10 to 7:30)= 2/3 hours
speed = d/t
speed = 5/(2/3)
speed = 5 *3/2
speed = 15/2 = 7.5 mph
CHECK
catchup time = 2/3
Joe started 1/6 hour early
so he ran for 2/3 +1/6 = 5/6 hours
his speed = 6 mph
5/6 hour *6 = 5 miles
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Mixture_Word_Problems/562273: if a chemist has 40 ounces of a 25% acid solution, how much acid should be mixed with it to produce a new solution that is 40%
1 solutions
Answer 364517 by mananth(12270) on 2012-01-25 01:04:42 (Show Source):
You can put this solution on YOUR website!
percent ---------------- quantity
Acid solution 25 ----------------40 ounces
Pure acid 100 ----------------x ounces
Mixture 40 ----------------40+x ounces
25*40+100x=40(40+x)
1000+100x=1600+40x
100x-40x=1600-1000
60x=600
/60
x=10 ounces of Pure acid
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Volume/562264: a cylindrical tin if height 15cm and radius 4cm is filled with sand from a rctangular box. how many times can the tin be filled if the dimensions of the box are 50cm by 40cm by 20cm?
1 solutions
Answer 364514 by mananth(12270) on 2012-01-25 01:01:21 (Show Source):
You can put this solution on YOUR website!Volume of Box / volume of tin = number of tins required
Volume of box =50*40*20= 40000 cu.cm
Volume of Tin = pi*r^2*h=pi*4^2*15 = 754 cu.cm
4000/754= 53 tins (rounded off)
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Money_Word_Problems/562228: chuan invested some money in a savings account earning 6% interest and an equal amount of money in bonds earning 8% interest. How much did he invest altogether if he earned $210 in a year?
1 solutions
Answer 364501 by mananth(12270) on 2012-01-24 23:02:49 (Show Source):
You can put this solution on YOUR website!money invested = x in each
x+x=2x
6x+8x=210*100 ( percentage converted by multiplying by 100)
14x=21000
x=21000/14
x=1500
1500@6%=90
1500@8%=120
Total = 210
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Linear-systems/562146: tell whether the system has one solution infinitely many solutions or no solution
5=1/2x+3y
10-x=6y
1 solutions
Answer 364457 by mananth(12270) on 2012-01-24 20:45:14 (Show Source):
You can put this solution on YOUR website!5=1/2x+3y
multiply by 2
10=x+6y
6y=-x+10
/6
y=-x/6 +10/6
10-x=6y
/6
y=-x/6 + 10/6
compare with y= mx+b
slopes are same and y intercepts are same
so the lines coincide with each other.
so they have innumerable solution
-
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Miscellaneous_Word_Problems/562122: I need an equation for the tollowing word problem.
at your lemonade stand you charge .50 for 1/2 cup and .75 for a full cup at the end of the day you see that 12 cups have been used and you have made 8$ how name of each size of drink did you sell?
1 solutions
Answer 364450 by mananth(12270) on 2012-01-24 20:39:12 (Show Source):
You can put this solution on YOUR website!1/2 cup ---x numbers
full cup---y numbers
x+y =12
0.5x+0.75y=8
multiply by 100
50x+75y=800
these are the two equations solve for x & y
1 x + 1 y = 12 .............1
50 x + 75 y = 800 .............2
Eliminate y
multiply (1)by -75
Multiply (2) by 1
-75 x -75 y = -900
50 x 75 y = 800
Add the two equations
-25 x = -100
/ -25
x = 4 1/2 cup
plug value of x in (1)
1 x + 1 y = 12
4 + 1 y = 12
1 y = 12 -4
1 y = 8
y = 8 full cup
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Travel_Word_Problems/562106: A plane traveled 1012 miles to go to jacksonville and back. The trip there was with wind. It took 11 hours.The trip back took 22 hours. What is the speed of the plane in still air? What is the speed of the wind?
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I tried drawing a table, but it has been a wile since I have solved any problems. The answer I got was a repeating decimal, so I doubt very much its likelihood of being correct.
1 solutions
Answer 364444 by mananth(12270) on 2012-01-24 20:29:18 (Show Source):
You can put this solution on YOUR website!plane speed=x mph
wind speed=y mph
with wind Speed = (x+y)
against wind speed= (x-y)
t=d/r
d= 1012 downstream
1012 / (x+y)= Speed = 11
divide by 11
92 / (x+y)= 1
x+ y 92 ............1
d= against wind 1012
1012 /(x-y)= 22
divide by 22
46 /(x-y) = 1
x - y = 46.00 .............2
add up (1) & (2)
2 x = 138
/ 2
x= 69 mph speed of plane in still air
plug value of x in (1)
we get y= 23 mph speed of wind
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Mixture_Word_Problems/562081: please help me solve this problem.
manuel traveled 4 hours non stop to mexico a total of 166 mles. he took a train part of the way which averaged 50 mph, and then took a bus the remaining distance, which avereged 30 mph. how long was manuel on the train?
1 solutions
Answer 364438 by mananth(12270) on 2012-01-24 20:07:21 (Show Source):
You can put this solution on YOUR website!First part distance = x--------------speed =50 mph
II part will be 166-x----------------------30 mph
t=4
time first part + time II part = 4
t=d/r
x/50 + (166-x)/30 = 4
LCD = 150
multiply equation by 150
3x+5(166-x)=4*150
3x+830-5x=600
-2x=-230
/-2
x= 115 miles
time on train = 115 /50=2.3 hours
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Rectangles/562084: A rectangle has a length of 4x and a width of 4x-2. Its perimeter is 12. What is the length and width?
How do you solve this problem? Step by step
1 solutions
Answer 364437 by mananth(12270) on 2012-01-24 19:54:27 (Show Source):
You can put this solution on YOUR website!length = 4x
width = 4x-2
Perimeter 2(L+W)
12= 2(4x-2+4x)
12=2(8x-2)
12=16x-4
12+4 =16x
16=16x
x=1
length = 4x =4
width = 4x-2=> 4-2=2
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test/562079: A restaurant manager bought 20 packages
of bagels. Some packages contained 6 bagels
each, and the rest contained 12 bagels each.
There were 168 bagels in all. How many
packages of 12 bagels did the manager buy?
1 solutions
Answer 364436 by mananth(12270) on 2012-01-24 19:51:28 (Show Source):
You can put this solution on YOUR website!6 bagel packages ------- x numbers
12 bagel packages ----------y numbers
x+y =20
6x+12y=168
x + y = 20 .............1
6x + 12y = 168 .............2
Eliminate y
multiply (1)by -12
Multiply (2) by 1
-12x -12y = -240
6x 12y = 168
Add the two equations
-6 x = -72
/ -6
x = 12.00 OR 12
plug value of x in (1)
1 x + 1 y = 20
12 + 1 y = 20
1 y = 20-12
1 y = 8
6 pack 12 numbers
12 pack 8 umbers
m.ananth@hotmail.ca
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Money_Word_Problems/561627: I put $10000.00 in the bank. In 12 years the principle and interest is $16000.00. What is the simple interest rate.
I am sure the answer is 5.5% but I do not know how to get it through the correct formula.
Thank you for your help
1 solutions
Answer 364330 by mananth(12270) on 2012-01-24 02:19:51 (Show Source):
You can put this solution on YOUR website!P=10000
Interest = 6000
n= number of years = 12
I= p*r*n
6000= 10000*r*12
6000/(10000*12)=r
6000/120000=r
6/120
=0.05
0.05 * 100 = 5%
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