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Write the equation in the standard form. Through (6,8); parallel to 9x-y=6
1 solutions
Answer 339599 by mananth(12270)   on 2011-09-26 00:22:45 (Show Source):
You can put this solution on YOUR website!9 x + -1 y = 6
Find the slope of this line
make y the subject
-1 y = -9 x + 6
Divide by -1
y = 9 x -6
Compare this equation with y=mx+b
slope m = 9
The slope of a line parallel to the above line will be the same
The slope of the required line will be 9
m= 9 ,point ( 6 , 8 )
Find b by plugging the values of m & the point in
y=mx+b
8 = 54.00 + b
b= -46
m= 9
Plug value of the slope and b in y = mx +b
The required equation is y = 9 x -46
y = 9 x -46
m.ananth@hotmail.ca
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Travel_Word_Problems/504358: If a bus leaves @ 11:45 and travels at 30 mph and then a car leaves at 12:00 and travels @ 45mph when will they meet?
1 solutions
Answer 339598 by mananth(12270) on 2011-09-26 00:16:54 (Show Source):
You can put this solution on YOUR website!Bus 30 mph
Car 45 mph
Bus 11:45
Car 12:00
Difference in time= 00:15 => 0.25 hours
Bus will have covered 7.5 miles before Car starts from station
catch up distance= 7.5 miles
catch up speed = 45 -30 mph
catch up speed = 15 mph
Catchup time = catchup distance/catch up speed
catch up time= 7.5 / 15
catch up time= 0.5 hours
They will meet at 12:30
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Travel_Word_Problems/504368: At the same time Kris leaves Washington, D.C. for Detroit. Amy leaves Detroit for Washington, D.C.. The distance between the cities is 510 miles. Amy's average speed is 5 mph faster than Kris's. How fast is Kris driving if they pass each others in 6 hours?
1 solutions
Answer 339596 by mananth(12270) on 2011-09-26 00:07:08 (Show Source):
You can put this solution on YOUR website!Kris x mph
Amy x+ 5 mph
..
They are moving towards each other
So add up their speed.
combined speed = x+ x + 5
( 2 x + 5 )
Time = 6 hours
Distance = 510 miles
Distance = speed * time
( 2 x +5 )* 6 = 510
12 x + 30 = 510
12 x = 510 + -30
12 x = 480
/ 12
x= 40 mph Kris
Amy 40 + 5 = 45 mph
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Average/504407: how do i find the lenght of the three pieces? A 56 inch board is to be divided into 3 pieces so that the second piece is twice as long as the first, and the third piece is 4 times as long as the first. Find the length pf all three pieces.
1 solutions
Answer 339595 by mananth(12270) on 2011-09-25 23:57:24 (Show Source):
You can put this solution on YOUR website!first piece =x
second piece = 2x
third piece = 4x
x+2x+4x=56
7x=56
/7
x=8
first piece =8
second piece = 2x=> 16
third piece = 4x=>32
8+16+32=56
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Average/504402: Please explain this for me. The perimeter of a rectangular billboard is 60 feet and its length is 6 feet longer than its width. Find the dimensions of the billboard.
1 solutions
Answer 339590 by mananth(12270) on 2011-09-25 23:53:11 (Show Source):
You can put this solution on YOUR website!Perimeter = 60 feet
Width = x ft
Length ( x + 8 )
Perimeter =2(L+W)
Perimeter = 2((x + 8)+ x)
Perimeter = 2((x+8+ x)
Perimeter = 16 + 2 x
60 = 2 x + 16
60 - = 2 x
60 -16 = 2 x
44 = 2 x
x= 22 ft Width
Length = 30
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Travel_Word_Problems/504380: a train leaves a station and travels north at 75 km/h. two hours later a second train leaves on a parallel track and travels north at 125km/h. how far from the station will they meet?
1 solutions
Answer 339588 by mananth(12270) on 2011-09-25 23:43:45 (Show Source):
You can put this solution on YOUR website!Train A 75 mph
Train B 125 mph
Difference in time= 04:00 => 4 hours
Train A will have covered 300 miles before Train B starts from station
catch up distance= 300 miles
catch up speed = 125 -75 mph
catch up speed = 50 mph
Catchup time = catchup distance/catch up speed
catch up time= 300 / 50
catch up time= 6 hours
Train B speed = 125 mph
Time to catch up = 6 hours
D=Speed * time
D= 125 * 6
D= 750 miles
Train B will catch up when it has traveled 750 miles
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Average/504395: Can you please help me solve this? I think the answer is $1030.
Find the interest on a $2000 loan at 7% for 5 years.
1 solutions
Answer 339585 by mananth(12270) on 2011-09-25 23:28:53 (Show Source):
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Average/504393: Please help me solve this i am confused. The sum of 6 and twice a number is equal to 7 less than a number. find the number
1 solutions
Answer 339582 by mananth(12270) on 2011-09-25 23:21:03 (Show Source):
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Money_Word_Problems/504296: how much money should be invested in an account that earns 9% interest, compounded monthly, if you want to have 5000000 after 20 years
1 solutions
Answer 339561 by mananth(12270) on 2011-09-25 21:26:23 (Show Source):
You can put this solution on YOUR website!Principal P = x
Amount= 5000000
years=n 20
compounded 12 times a year (t)
Rate = 9.00 0.750
Amount = P*((n+r)/n)^nt
5000000 = x *( 1 + r/n )^ n
5000000 =P(1+0.090/12)^ 12* 20
5000000 = P( 1.00750 )^ 240
5000000 /( 1.01 )^ 240 = P
P= 832064.22
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Travel_Word_Problems/504291: Train a and b are traveling in the same direction on parallel tracks. Train a is traveling at 80 miles per hour and train b is traveling at 90 miles per hour. Train a passes a station at 10:25am. If train b passes the same station at 10:55am, at what time will train b catch up to train a?
1 solutions
Answer 339558 by mananth(12270) on 2011-09-25 20:55:37 (Show Source):
You can put this solution on YOUR website!Train A 80 mph
Train B 90 mph
Train A 10:25
Train B 10:55
Difference in time= 00:30 => 0.5 hours
Train A will have covered 40 miles before Train B starts from station
catch up distance= 40 miles
catch up speed = 90 -80 mph
catch up speed = 10 mph
Catchup time = catchup distance/catch up speed
catch up time= 40 / 10
catch up time= 4 hours
it will catch up at 2:55 pm
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Travel_Word_Problems/504284: Fran is riding her bike on a 30 mile route. First she rides at a rate of 15 miles per hour. Then she rides at a rate of 6 miles per hour. Her total time is 2.5 hours. Find her distance ridden at 15 miles per hour and her distance ridden at 6 miles per hour
1 solutions
Answer 339556 by mananth(12270) on 2011-09-25 20:50:12 (Show Source):
You can put this solution on YOUR website!let her ride x miles @ 15mph
then she will ride 30-x @ 6mph
...
Time at 15 mph + time at 6 mph = total time
t=d/r
x/15 + (30-x)/6 = 2.5
LCD =30, Multiply by LCD
2x+5(30-x)=2.5*30
2x+150-5x=75
-3x=-75
x=25
25 miles @15 mph
5 miles @6 mph
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Mixture_Word_Problems/503758: Corn Syrup worth P44.80 a gallon and maple syrup worth P336 a gallon are mixed to form a mixture worth P132.16 a gallon. How many gallons of each kind of syrup are needed to make 50 gallons of the mixture?
1 solutions
Answer 339411 by mananth(12270) on 2011-09-25 03:44:52 (Show Source):
You can put this solution on YOUR website!---------price ---------------- quantity
corn syrup 44.8 ---------------- x gallons
maple syrup 336 ---------------- 50 - x gallons
Mixture 132.16% ---------------- 50
44.8 x + 336 ( 50 - x ) = 132.16 * 50
44.8x + 16800 - 336 x = 6608
44.8 x - 336 x = 6608 - 16800
-291.2 x = -10192
/ -291.2
x = 35 gallons corn syrup
15 gallons maple syrup
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Money_Word_Problems/503729: in order to have $10,000 in 5 years, how much would a person have to invest if the money will earn 12% interest compounded semiannually?
1 solutions
Answer 339408 by mananth(12270) on 2011-09-25 03:18:26 (Show Source):
You can put this solution on YOUR website!Principal P = x
Amount= 10000
years=n 5
compounded 2 times a year
Rate = 12.00 6.000
Amount = P*((n+r)/n)^n
10000 = x *( 1 + r/n )^ n
10000 = P ( 1 + 0.060 / 2 ) ^ 2 * 5
10000 = P( 1.06000 )^ 10
10000 /( 1.06 )^ 10 = P
P= 5583.95
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Travel_Word_Problems/503745: two trucks are travel towards each other from points 1,ooo km apart. The two trucks meet each other in 8 hours. What is the average speed of each truck if one truck travels 15 kilometersper hour faster than other?
S=d/t
1 solutions
Answer 339406 by mananth(12270) on 2011-09-25 02:34:10 (Show Source):
You can put this solution on YOUR website!Truck I x km/h
Truck II x+ 15
..
They are moving towards each other They are moving towards each other
So add up their speed.
combined speed = x+ 1 x + 15
( 2 x + 15 )
Time = 8 hours
Distance = 1000 miles
Distance = speed * time
( 2 x 15 )* 8 = 1000
16 x + 120 = 1000
16 x = 1000 + -120
16 x = 880
/ 16
x= 55 mph Truck I
Truck II 55 + 15 = 70 mph
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Percentage-and-ratio-word-problems/503319: Miss Lee distributed some stickers equally among 15 boys and 7 girls. Each boy gave 3/5 of his share to all the girls. As a result, the girls had a total of 768 stickers. What was the total number of stickers Miss Lee had at first?
1 solutions
Answer 339205 by mananth(12270) on 2011-09-24 03:27:11 (Show Source):
You can put this solution on YOUR website!she had x stickers
total 22 kids
each got x/22
15 boys
they gave 3/5 of x/22 to the girls
So they gave a total of 15* 3x/110 = 45x/110 stickers to the girls
7 girls - they have a total of 7*(x/22)=>7x/22
Boys gave 45x/110
7x/22 + 45x/110 = 768
LCD = 110
35x+45x= 110*768
80x=110*768
x=110*768/80
x= 1056 stickers
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Linear-equations/503312: x + 4y = -10
2x – 3y = 13
1 solutions
Answer 339202 by mananth(12270) on 2011-09-24 03:18:14 (Show Source):
You can put this solution on YOUR website!1 x + 4 y = -10 .............1
2 x -3 y = 13 .............2
Eliminate y
multiply (1)by 3
Multiply (2) by 4
3 x 12 y = -30
8 x -12 y = 52
Add the two equations
11 x = 22
/ 11
x = 2
plug value of x in (1)
1 x + 4 y = -10
2 + 4 y = -10
4 y = -10 -2
4 y = -12
y = -3
(2,3) is the solution
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test/503363: Two cell phone companies are advertising rates. Company A charges a rate $20 per month plus $0.05 per minute. Company B charges a rate of $10 per month plus $0.10 per minute. What is the number of minutes used above which Company A costs more than Company B?
1 solutions
Answer 339201 by mananth(12270) on 2011-09-24 03:15:03 (Show Source):
You can put this solution on YOUR website!Let x be the number of calls
company B 10 + 0.10 x
company A 20 + 0.05 x
company B < company A
20 + 0.05 x < 10 + 0.10 x
20 + 0.05 x < 10 + 0.10 x
20 - 10 < 0.1 x -0.05 x
10 < 0.05 x
200 < x
x should be greater than 200 calls
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Graphs/503318: please help.
solve the system below graphically. indicate method you use to plot the lines. show all your wouk.
x = 2y
2x + y = -5
b. check by substituting the answer back into the original equations.
thank you
1 solutions
Answer 339200 by mananth(12270) on 2011-09-24 03:09:29 (Show Source):
You can put this solution on YOUR website!x = 2y---------------1
2x + y = -5------------2
equation1
when x= 0 y= 0 ( 0 , 0 )
when y = 0 x= 0 ( 0 , 0 )
Equation 2
when x= 0 y= -5 ( 0 , -5 ) -5
when y = 0 x= -2.5 ( -2.5 , 0 )
The solution is (-2,-1)
x=2y
-2=-1*2
-2=-2
...
2x+y=5
2*-2+(-1)*1=-5
-5=-5
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Graphs/503321: please help.
solve the following systems of equations using substitution to eliminate one variable. if the system has no solution, indicate that it is inconsistent; if it has infinite solutions, indicate that it is dependant; if the system has one solution, check your answer.
y + 5x = 17
4x -3y = 6
1 solutions
Answer 339199 by mananth(12270) on 2011-09-24 02:32:33 (Show Source):
You can put this solution on YOUR website!5 x + 1 y = 17 .............1
-3 y = 6 -4 x ---------2
/ -3 =
y = -2 + 1.33 x
Substitute y in (1)
5 x + 1 ( -2 + 1.33 x ) = 17
5 x -2 + 1.33 x = 17
5 x + 1.33 x = 17 2
6.33 x = 19
/ 6.33
x= 3
Plug the value of x in (1)
5 x + 1 y = 17
5 * 3 + 1 y = 17
15 + 1 y = 17
1 y = 2
/ 1
y= 2
m.ananth@hotmail.ca
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Miscellaneous_Word_Problems/503346: Two airplanes leave Boston at the same time and fly in opposite directions. If one travels at 420 miles per hour and the other at 440 miles per hour, how long will it take for them to be 3,440 miles apart?
1 solutions
Answer 339197 by mananth(12270) on 2011-09-24 02:23:35 (Show Source):
You can put this solution on YOUR website!Plane I 420 m/h
Plane II 440 m/h
Distance 3440 miles
Let time they take to be 3440 miles be x hours
Plane I distance traveled 420 x miles
Plane II distance traveled 440 x miles
Time is same
t=d/r
combined speed= 860 mph
860 x = 3440
x= 4 hours
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Geometry_Word_Problems/503345: A total of $3900 was invested, part of it at 8% interest and the remainder at 13%. If the total yearly interest amounted to $395, how much was invested at each rate?
1 solutions
Answer 339195 by mananth(12270) on 2011-09-24 02:12:21 (Show Source):
You can put this solution on YOUR website!Investment I 8.00% per annum ---x
Investment II 13.00% per annum ---y
x + y= 3900 ------------------------1
8.00% x + 13.00% y = $395.00
Multiply by 100
8 x + 13 y = $39,500.00
Multiply (1) by -8
we get
-8 x -8 y = -31200.00
Add this to (2)
0 x +5 y = $8,300.00
divide by 5
y = $1,660.00
Balance $2,240.00
CHECK
$2,240.00 --------- 8.00% ------- $179.20
$1,660.00 ------- 13.00% ------- $215.80
Total ------- $395.00
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Mixture_Word_Problems/503347: Suppose that a pharmacist has a supply of a 30% solution of alcohol and a 70% solution of alcohol. How many quarts of each should be mixed to produce 60 quarts that is 50% alcohol?
thank you
1 solutions
Answer 339194 by mananth(12270) on 2011-09-24 02:07:02 (Show Source):
You can put this solution on YOUR website!---------percent ---------percent ---------------- quantity
Alcohol I 30 ---------------- x quarts
Alcohol II 70 ---------------- 60 - x quarts
Mixture 50.00% ---------------- 60
30 x + 70 ( 60 - x ) = 50 * 60
30x+4200-70x=3000
30x-70x =3000 -4200
-40 x = -1200
/ -40
x = 30 quarts 30.00% Alcohol I
30 quarts 70.00% Alcohol II
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test/503352: A fitness club requires a $100 initiation fee and dues of $25 each month.write an expression for the cost of membership for n months.t hen find the cost of membership for one year
1 solutions
Answer 339193 by mananth(12270) on 2011-09-24 02:02:26 (Show Source):
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Mixture_Word_Problems/503241: Two bank loans, one for $5000 and the other for $3000, cost a toatl of$550 in interest for one year. The $5000 loan has an interest rate 3% lower than the interest rate for the $3000 loan. Find the interest rate for each loan.
1 solutions
Answer 339179 by mananth(12270) on 2011-09-23 21:07:18 (Show Source):
You can put this solution on YOUR website!$3,000.00 --------- x%
$5,000.00 -------- x% -3.00%
$3,000.00*x%+$5,000.00(x-3.00%)=550
30 x+ 50 x -150.00 = 550
80 x = 700
x= 8.75 % on $3000
5.75% on $5000
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