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15390..15419 , 15420..15449 , 15450..15479 , 15480..15509 , 15510..15539 , 15540..15569 , 15570..15599 , 15600..15629 , 15630..15659, >>NextEvaluation_Word_Problems/593954: I need help setting this equation up, I keep getting a neagtive number..
One taxi cab charges $2.00 plus 75 cents per mile while a second taxi charges 75 cents plus 80 cents per mile. For what length trip would the fee charge by each taxi be the same? 1 solutions
Answer 376583 by ankor@dixie-net.com(15652) on 2012-04-01 12:20:48 (Show Source):
You can put this solution on YOUR website!One taxi cab charges $2.00 plus 75 cents per mile while a second taxi charges 75 cents plus 80 cents per mile.
For what length trip would the fee charge by each taxi be the same?
:
Not sure how you would get a negative, but lets do it this way
:
Let d = trip distance that both cabs would cost the same
:
2nd cab cost = 1st cab cost
.80d + .75 = .75d + 2.00
.80d - .75d = 2.00 - .75
.05d = 1.25
d = 1.25/.05
d = 25 miles
:
:
See if this is true, find the cost for each at 25 mi
.80(25) + .75 = $20.75
.75(25) + 2.00 = 20.75
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Rate-of-work-word-problems/593931: Ok not getting this....need step by step instructions please!
How long would it take to lay 8 rows of 18 bricks each at a rate of 4 bricks per minute? Express your answer in hours. 1 solutions
Answer 376534 by ankor@dixie-net.com(15652) on 2012-03-31 21:53:25 (Show Source):
You can put this solution on YOUR website!How long would it take to lay 8 rows of 18 bricks each at a rate of 4 bricks per minute? Express your answer in hours.
:
Find total number of bricks: 8 * 18 = 144 bricks
Find number of minutes to do this:  = 36 min
Change 36 min to hr:  = .6 hrs
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Quadratic_Equations/593595: If a stone is tossed from the top of a 230 meter building, the height of the stone as a function of time is given by h(t) = -9.8t^2 – 10t + 230, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredth’s place; include units in your answer. 1 solutions
Answer 376533 by ankor@dixie-net.com(15652) on 2012-03-31 21:50:39 (Show Source):
You can put this solution on YOUR website!h(t) = -9.8t^2 – 10t + 230,
When it hits the ground, h(t) = 0, therefore
-9.8t^2 – 10t + 230 = 0
Use the quadratic formula to find t
In this problem: x=t; a=-9.8; b=-10; c=230

:

I'll let you do the rather tedious math here, you should get a positive solution of about 4.36 seconds
|
Human-and-algebraic-language/593668: The youth group at the church decided to plant geraniums and daisies around the church grounds as a group project. Geraniums in 6” pots cost $4 each and daisy plants cost $6 each. The youth group spent $410 on 80 plants. How many geraniums and how many daisy plants did the group buy? 1 solutions
Answer 376532 by ankor@dixie-net.com(15652) on 2012-03-31 21:34:32 (Show Source):
You can put this solution on YOUR website!Geraniums in 6” pots cost $4 each and daisy plants cost $6 each.
The youth group spent $410 on 80 plants.
How many geraniums and how many daisy plants did the group buy?
:
Let g = no. of Geraniums
Let d = no. of Daisies
:
The no. of plants equation
g + d = 80
g = (80-d); we can use this for substitution
:
The cost equation
4g + 6d = 410
replace g with (80-d)
4(80-d) + 6d = 410
320 - 4d + 6d = 410
-4d + 6d = 410 - 320
2d = 90
d = 90/2
d = 45 daisies
then
g = 80 - 45
g = 35 geraniums
:
:
Check these solutions by finding the total cost
4(35) + 6(45) =
140 + 270 = 410
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Numbers_Word_Problems/593804: Find four consecutive even integers such that if the sum of the first and third is multiplied by 4 the result is 10 more than 7 times the fourth. 1 solutions
Answer 376527 by ankor@dixie-net.com(15652) on 2012-03-31 20:08:00 (Show Source):
You can put this solution on YOUR website!Find four consecutive even integers
x, (x+2), (x+4), (x+6)
:
such that if the sum of the first and third is multiplied by 4 the result is 10 more than 7 times the fourth.
4[x + (x+4)] = 7(x+6) + 10
:
4(2x+4) = 7x + 42 + 10
:
8x + 16 = 7x + 52
:
8x - 7x = 52 - 16
:
x = 36 is he 1st integer
:
36, 38, 40, 42 the four consecutive integers
:
:
Check this in the statement:
"sum of the first and third is multiplied by 4 the result is 10 more than 7 times the fourth"
4(36 + 40) = 7(42) + 10
304 = 294 + 10
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Rate-of-work-word-problems/593903: One painter works 1 1/2 times as fast as a second painter.?
Find their individual times for painting a room if, working together, they can complete the job in 4 hours. 1 solutions
Answer 376526 by ankor@dixie-net.com(15652) on 2012-03-31 19:52:44 (Show Source):
You can put this solution on YOUR website!One painter works 1 1/2 times as fast as a second painter.?
Find their individual times for painting a room if, working together, they can complete the job in 4 hours.
:
Let t = time required by one painter to do the job
then
1.5t = time required by the other painter
:
Let the completed job = 1 (a painted room)
:
A shared work equation
 +  = 1
Multiply by 3t to clear the denominators
3t*  + 3t*  = 3t(1)
Cancel the denominaors
3(4) + 2(4) = 3t
12 + 8 = 3t
t = 
t = 6.67 hrs working alone
and
1.5*6.66 = 10 hrs the slow painter working alone
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Miscellaneous_Word_Problems/593744: The area of the rectangular piece of cardboard shown below is 216 square inches. The cardboard is used to make an open box by cutting a 2-inch square from each corner and turning up the sides. If the box is to have a volume of 224 cubic inches, find the length and width of the cardboard that must be used. 1 solutions
Answer 376521 by ankor@dixie-net.com(15652) on 2012-03-31 19:41:44 (Show Source):
You can put this solution on YOUR website!The area of the rectangular piece of cardboard shown below is 216 square inches.
The cardboard is used to make an open box by cutting a 2-inch square from each corner and turning up the sides.
If the box is to have a volume of 224 cubic inches, find the length and width of the cardboard that must be used.
:
Let L = the length of the box
then
(L+4) = the length of the piece cardboard (because of the 2" squares)
and
Let W = the width of the box
then
(W+4) = the width of the cardboard
:
From the information given we know the height of the box will be 2", therefore
the area of the bottom of the box will be: 224/2 = 112 sq/in
L*W = 112
and
(L+4)*(W+4) = 216, the area of the cardboard
FOIL
LW + 4L + 4W + 16 - 216 = 0
LW + 4L + 4W - 200 = 0
Replace LW with 112
112 + 4L + 4W - 200 = 0
4L + 4W - 200 + 112 = 0
4L + 4W - 88 = 0
simplify, divide by 4
L + W - 22 = 0
L + W = 22
L = (22-W)
Replace L with (22-W) in the area of the base equation
(22-W)*W = 112
-W^2 + 22W = 112
Arrange as a quadratic equation on the right
0 = W^2 - 22W + 112
Factors to
(W-8)(W-14) = 0
Two solutions
W = 8, then L = 14
W = 14, then L = 8
:
The box is 14 by 8 by 2, check volume: 14*8*2 = 224 cu/in
;
We add 4" to the length and width of the cardboard: 18" by 12".
Check the area: 18*12 = 216 sq/in
:
Could you follow all this? Did I make it understandable to you? C
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Travel_Word_Problems/593783: Two cars X and Y start from two places A, B respectively which are 700 km apart at 9 a. m. Both the cars run at an average speed of 60 km / hr. Car X stops at 10 a. m. and again starts at 11 a. m. while the other car Y continues to run without stopping. When do the two cars cross each other ? 1 solutions
Answer 376457 by ankor@dixie-net.com(15652) on 2012-03-31 08:50:39 (Show Source):
You can put this solution on YOUR website!Two cars X and Y start from two places A, B respectively which are 700 km apart
at 9 a. m. Both the cars run at an average speed of 60 km / hr.
Car X stops at 10 a. m. and again starts at 11 a. m. while the other car Y continues to run without stopping.
When do the two cars cross each other ?
:
Let t = travel time of Car y
then
(t-1) = travel time of Car x
:
The cars will meet when their distances traveled add up to 700 km
:
60t + 60(t-1) = 700
60t + 60t - 60 = 700
120t = 700 + 60
120t = 760
t = 6  hrs, which is 6 hrs 20 min
hence
9:00 + 6:20 = 3:20 Pm
:
:
Check this by finding the actual distance each car traveled by 3:20 PM
Car y: 6.33(60) = 380
Car x: 5.33(60) = 320
----------------------
total distance: 700 km
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Travel_Word_Problems/593602: the morgan family is taking a trip. it took the family 2 hours and 45 minutes to make the 176 mile trip. what is the average speed in miles per hour?
1 solutions
Answer 376434 by ankor@dixie-net.com(15652) on 2012-03-30 21:41:08 (Show Source):
You can put this solution on YOUR website!the Morgan family is taking a trip. it took the family 2 hours and 45 minutes to make the 176 mile trip.
what is the average speed in miles per hour?
;
Change 2 hrs 45 min to 2.75 hrs
:
Speed = dist/time
s = 
s = 64 mph
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Travel_Word_Problems/593418: You are in a boat a miles from the nearest point on the coast (see figure). You are to go to a point Q, which is b miles down the coast and 1 mile inland. You can row at 4 miles per hour and walk at 5 miles per hour. If a = 2, and b = 4, toward what point on the coast should you row in order to reach Q in the least time? (Round your answer to three decimal places.) 1 solutions
Answer 376433 by ankor@dixie-net.com(15652) on 2012-03-30 21:23:30 (Show Source):
You can put this solution on YOUR website!Rewrite the problem:
You are in a boat 2 miles from the nearest point on the coast (see figure, it would be nice!).
You are to go to a point Q, which is 4 miles down the coast and 1 mile inland.
You can row at 4 miles per hour and walk at 5 miles per hour.
Toward what point on the coast should you row in order to reach Q in the least time?
:
Let x = distance from the coastal point nearest the boat, to where he should land the boat
then
(4-x) = distance from the landing point to the coastal point nearest Q
:
The distance rowed and and walked will be the hypotenuse of two triangles
write a time equation; time = dist/speed
:
total time = rowing time + walking time
t(x) =  + 
:
t(x) =  + 
:
t(x) =  + 
:
t(x) = 
The graph, time on the y axis
Minimum time, landing point: x = 2 mi from the coastal point nearest the boat,
:
Sorry I sent this prematurely by mistake. C
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Travel_Word_Problems/593715: I am looking for assistance with setting up this problem: A passenger train traveled to Schannesburg and back. The trip there took 20 hours and the trip back took 16 hours. It averaged 12 mph faster on the return trip then on the outbound trip. What was the passenger train's speed on the outbound trip? 1 solutions
Answer 376422 by ankor@dixie-net.com(15652) on 2012-03-30 20:09:21 (Show Source):
You can put this solution on YOUR website!A passenger train traveled to Schannesburg and back.
The trip there took 20 hours and the trip back took 16 hours.
It averaged 12 mph faster on the return trip then on the outbound trip.
What was the passenger train's speed on the outbound trip?
:
Let s = train speed outbound
then
(s+12) = train return speed
:
Write a distance equation: dist = time * speed
:
out dist = return dist
20s = 16(s+12)
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Surface-area/593550: A sphere is inscribed in a cube whose surface area is thirty six inches squared. Determine the surface area of the sphere. Determine the volume of the sphere
1 solutions
Answer 376385 by ankor@dixie-net.com(15652) on 2012-03-30 13:36:10 (Show Source):
You can put this solution on YOUR website!A sphere is inscribed in a cube whose surface area is thirty six inches squared. Determine the surface area of the sphere.
Determine the volume of the sphere
:
Let x = side of the square
S.A.: 6x^2 = 36
x^2 = 36/6
x^2 = 6
x =  , the side of the cube
:
Find the hypotenuse (h) of one side
h^2 = 
h^2 = 2 * 6
h = 
:
Find the diagonal, distance between opposite corners of the cube, this is also the diameter of the sphere
;
d^2 = 
d^2 = 6 + 12
d =  , also the diameter,
:
The S.A. of sphere = 
S.A. =  ,
S.A. = 18pi or 56.55 sq/inches
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Geometry_Word_Problems/593520: suppose that the measure of the intercepted arc of a sector of a circle is 60 degrees. suppose also that the radius is squre root of 216 divided by pi. what is the area of the sector 1 solutions
Answer 376360 by ankor@dixie-net.com(15652) on 2012-03-30 07:46:13 (Show Source):
You can put this solution on YOUR website!the measure of the intercepted arc of a sector of a circle is 60 degrees.
suppose also that the radius is square root of 216 divided by pi.
what is the area of the sector
:
 *  =
 *  =
cancel pi
 *  =
cancel 6
 , the area of the sector
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Linear-equations/593474: Goldenwood Street drops 12 feet over a horizontal distance of 900 feet. What is the slope of the street? Round your answer to two decimal places 1 solutions
Answer 376337 by ankor@dixie-net.com(15652) on 2012-03-29 21:56:10 (Show Source):
You can put this solution on YOUR website!Goldenwood Street drops 12 feet over a horizontal distance of 900 feet.
What is the slope of the street? Round your answer to two decimal places
:
One of the definitions of slope is "rise over run"
:
A drop is a negative rise, therefore
 = -.013
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testmodule/593340: How to divide 40 3/8 divided by 4 1/4 ...I do not understand the formula the answer is 9 1/2 but I'm not figuring out how 1 solutions
Answer 376335 by ankor@dixie-net.com(15652) on 2012-03-29 21:47:10 (Show Source):
You can put this solution on YOUR website!How to divide 40 3/8 divided by 4 1/4 ...I do not understand the formula the answer is 9 1/2 but I'm not figuring out how
:
Change both to improper fractions, multiply the whole number by the denominator and add the numerator:
40*8 + 3 = 323/8
4*4 + 1 = 17/4
Now we have:
 divided by 
Invert the dividing fraction and multiply
 * 
cancel 4 into 8
 *  = 
Divide 323 by 34 using long division: 9, remainder 17, so we have
9  reduce the fraction to 9
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Travel_Word_Problems/593385: It is approximately 35 million miles from Earth to the planet Mars. A spacecraft is launched from Earth heading toward Mars. If the spacecraft travels at an average speed of 2,900.meters per second, in about how many days will it take the slacecraft to reach Mars? 1 solutions
Answer 376333 by ankor@dixie-net.com(15652) on 2012-03-29 21:34:36 (Show Source):
You can put this solution on YOUR website!It is approximately 35 million miles from Earth to the planet Mars.
A spacecraft is launched from Earth heading toward Mars.
If the spacecraft travels at an average speed of 2,900.meters per second,
in about how many days will it take the spacecraft to reach Mars?
:
Change 35 million miles to km
1.609 * 35,000,000 = 56,315,000 km
:
Change 2900 m/sec to 2.9 km/sec
:
 = 224.75 days
|
Exponents-negative-and-fractional/593408: My problem is to use the quadratic equation for: (r-3)(r+9)=16. I'm up to the step where r equals pus or minus the square root of 208 divide by 2. At this point I'm not sure how to factor out the next three steps to get the solution step. My answer came out to be {-3+2 square root over 2 , -3-2 square root over 2}
I did my best here to describe the symbols that I can't enter in this example. Thanks, James 1 solutions
Answer 376326 by ankor@dixie-net.com(15652) on 2012-03-29 21:22:33 (Show Source):
You can put this solution on YOUR website!My problem is to use the quadratic equation for: (r-3)(r+9)=16.
FOIL
r^2 + 9r - 3r - 27 = 16
r^2 + 6x - 27 - 16 = 0
r^2 + 6x - 43 = 0
Use the quadratic formula
x=r, a=1, b=6, c=-43
:
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I think here you went astray somewhere
Factor inside the radical to reveal a perfect square

Extract the square root of 16

Two solutions

and
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Word_Problems_With_Coins/593185: Brittany has $9.50 in quarters and dimes. The number of quarters she has is two more than twice the number of dimes. Set up a system of equations and solve for the number of each type of coin she has.
what i have so far
q=quarters d=dimes
.25q+.10d=9.50
q=2+2d 1 solutions
Answer 376277 by ankor@dixie-net.com(15652) on 2012-03-29 17:13:21 (Show Source):
You can put this solution on YOUR website!Brittany has $9.50 in quarters and dimes.
The number of quarters she has is two more than twice the number of dimes.
Set up a system of equations and solve for the number of each type of coin she has.
what i have so far
q=quarters d=dimes
.25q+.10d=9.50
q = 2+2d
Now all you have to do is replace q with (2d+2) in the 1st equation
.25(2d+2) + .10d = 9.50
.50d + .5 + .10d = 9.50
.50d + .10d = 9.50 - .50
.60d = 9.00
d = 
d = 15 dimes
:
I know you can find the number of quarters now. Check your solutions in the 1st equation.
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Travel_Word_Problems/593007: 1. Mike can row in still water at a speed twice that of the current in a certain river. It takes Mike 2 hours more to row 10 km up the river than it takes him to row 15 km down the river. What is the speed of current in the river?
1 solutions
Answer 376219 by ankor@dixie-net.com(15652) on 2012-03-29 09:48:16 (Show Source):
You can put this solution on YOUR website!1. Mike can row in still water at a speed twice that of the current in a certain river.
It takes Mike 2 hours more to row 10 km up the river than it takes him to row 15 km down the river.
What is the speed of current in the river?
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Let r = speed of current of the river
It states, "row in still water at a speed twice that of the current", therefore
2r = his rowing speed in still water
Then
2r - r = r, effective speed upstream
2r + r = 3r, effective speed downstream
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Write time equation
Upriver time - downriver time = 2 hrs
 -  = 2
multiply by 3r
3r*  - 3r*  = 3r(2)
Cancel the denominators
3(10) - 15 = 6r
30 - 15 = 6r
15/6 = r
r = 2.5 km/hr is the speed of the current
:
:
Check that out, rowing speed in still water will be 5 km/hr, find the times
10/2.5 = 4hrs
15/7.5 = 2hrs
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difference: 2 hrs
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Linear_Equations_And_Systems_Word_Problems/592957: Question--Leo Held a Garage Sale. He Priced All The Item For Either a Dime or a Quarter. His Sales Totaled Less Than $5.00.
okay so thats the question i already have what the linear equation is but then it asks whats the maximum number of items that he could have sold for a quarter. I really need help I've been on this problem for a while. Thank you. Also if there is something I could Explain a little better please tell me. This is my first time on here. 1 solutions
Answer 376141 by ankor@dixie-net.com(15652) on 2012-03-28 20:55:04 (Show Source):
You can put this solution on YOUR website!He Priced All The Item For Either a Dime or a Quarter.
His Sales Totaled Less Than $5.00.
:
Let d = no. of items sold for a dime
Let q = no. of items sold for a quarter
:
.10d + .25q = 5.00
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What's the maximum number of items that he could have sold for a quarter?"
Max sold for .25: 5.00/.25 = 20 items, nothing for a dime
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But assuming he sold some items for 10 cents, total$ has to be a multiple of .10, could not be 19 quarters (4.75)
.10d + .25(18) = 5.00
.10d + 4.50 = 5.00
.10d = 5.00 - 4.50
.10d = .50
d = 5 items for a dime, 18 for a quarter
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Linear-systems/592940: I have been trying to find the answer to this equation for hours. It is a substitution method equation. Here it is, y=2x-3 x-y=-4. Please help! I have gotten multiple answers like x=1 and y=5 but my teacher says that isn't right and i also got x=4 and y=8 but that also isn't right. Please can you help me? 1 solutions
Answer 376135 by ankor@dixie-net.com(15652) on 2012-03-28 19:59:18 (Show Source):
You can put this solution on YOUR website! y = 2x - 3
x - y = -4
Use the 1st equation for substitution, replace y with (2x-3) in the 2nd equation
x - (2x-3) = -4
Removing the brackets changes the sign of 3
x - 2x + 3 = -4
-x = -4 - 3
-x = -7
Multiply both sides by -1
x = 7
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Find y using the 1st equation, replace x with 7
y = 2(7) - 3
y = 14 - 3
y = 11
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Check these solution in the 2nd equation
x - y = -4
7 - 11 = -4
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Travel_Word_Problems/592773: At the beginning of a walk, roberto and juanita are 9.9 miles apart. If they leave at the same time and walk in the same direction, Roberto overtakes Juanita in 11 hours. If they walk towards eachother, they met in 1 hour.What are their speeds? 1 solutions
Answer 376131 by ankor@dixie-net.com(15652) on 2012-03-28 19:21:05 (Show Source):
You can put this solution on YOUR website!At the beginning of a walk, Roberto and Juanita are 9.9 miles apart.
If they leave at the same time and walk in the same direction, Roberto overtakes Juanita in 11 hours.
If they walk towards each other, they met in 1 hour.
What are their speeds?
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Let r = R's walking speed
Let j = J's walking speed
then
(r+j) = effective speed when walking towards each other
(r-j) = effective speed when walking the same direction
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Write a distance equation for each scenario
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11(r-j) = 9.9
1(r+j) = 9.9
Divide both sides of the 1st equation by 11, add to the 2nd equation
r - j = 9.9/11
r - j = 0.9
r + j = 9.9
--------------adding eliminates j, find r
2r = 10.8
r = 10.8/2
r = 5.4 mph is R's speed
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Use the 2nd equation to find j
5.4 + j = 9.9
j = 9.9 - 5.4
j = 4.5 mph is J's speed
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Check these solutions in the 1st equation
11(5.4-4.5) =
11(.9) = 9.9; confirms our solutions of r=5.4; j=4.5
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Rational-functions/592856: I am curious as how to accurately solve for X in the problem:
√3-X(Numerator)
√2x(Denominator)
equals 2
I have squared both sides leading me to (3-x)/(2x)=4 However, I do not know what to do after that step. I have tried elimination but do not get the right answer. I would greatly appreciate help on this subject. Thank you. 1 solutions
Answer 376124 by ankor@dixie-net.com(15652) on 2012-03-28 19:05:04 (Show Source):
You can put this solution on YOUR website!Solve for X in the problem:
√3-X(Numerator)
√2x(Denominator)
:
 = 2
:
 = 4
multiply both sides by 2x
3 - x = 4(2x)
3 - x = 8x
3 = 8x + x
3 = 9x
x = 3/9 = 1/3
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Graphs/592556: I have a question about a graph.
If one line has a slope of -3 and another has a slope of 2.
which line is steeper? and WHY?
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One definition of slope rise over run, which means how far does is rise or fall vertically
1 solutions
Answer 376106 by ankor@dixie-net.com(15652) on 2012-03-28 17:18:52 (Show Source):
You can put this solution on YOUR website!One definition of slope is: "rise over run, which means how far does is rise or fall vertically, for a unit horizontally,
A slope of -3, it fell 3 units vertically for one unit horizontally
A slope of +2, it rose 2 units vertically for one unit horizontally
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Obviously, -3 is steeper than +2
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Travel_Word_Problems/592319: The equation is h(t)=-16t2+1000. An object is being dropped from a height of 1000 feet. How long would it take to drop to 500 feet? 1 solutions
Answer 375969 by ankor@dixie-net.com(15652) on 2012-03-27 20:06:50 (Show Source):
You can put this solution on YOUR website!The equation is h(t)=-16t2+1000.
An object is being dropped from a height of 1000 feet.
How long would it take to drop to 500 feet?
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When it has dropped 500', it will be 500' above the ground , therefore h(t) = 500
-16t^2 + 1000 = 500
-16t^2 = 500 - 1000
-16t^2 = -500
Multiply both sides by -1
16t^2 = 500
divide both sides by 16
t^2 = 
t^2 = 31.25
t = 
t = 5.59 seconds to drop 500 ft
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Problems-with-consecutive-odd-even-integers/592166: Combine into a single fraction in lowest terms:
Reduce to a single fraction in lowest terms:
2y/y^2-4+1/2-y 1 solutions
Answer 375965 by ankor@dixie-net.com(15652) on 2012-03-27 19:51:09 (Show Source):
You can put this solution on YOUR website!Reduce to a single fraction in lowest terms:
 + 
:
Note that the 1st denominator is the "difference of squares" can be factored to
 + 
:
We can make the 2nd denominator like the 1st by factoring out -1, so we have
 + 
:
Change the sign and we are rid of the -1
 - 
:
we can see the common denominator will be (y-2)(y+2)
 =  = 
:
Cancel (y-2), resulting in
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Polynomials-and-rational-expressions/592321: Hello. I need to know how you multiply this expression: (x-2)/(x+3) * (4x+12)/(6). Now, I've gotten to the step where the problem is simplified to (x-2)/(1) * (4)/(6). I don't really know how to go about multiplying that expression, so could you please help? I have a big math test tomorrow and need to understand these concepts before it's too late. Thank you! 1 solutions
Answer 375954 by ankor@dixie-net.com(15652) on 2012-03-27 19:29:01 (Show Source):
You can put this solution on YOUR website!multiply this expression: (x-2)/(x+3) * (4x+12)/(6).
:
 * 
Factoring will help here before we multiply
 * 
We can cancel (x+3) and then we have
(x - 2) * 
Reduce the fraction, then multiply
(x - 2) *  =  or 
:
Generally you multiply the numerators, and multiply the denominators. then reduce the fraction
But factoring and canceling can greatly simplify the operation
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Travel_Word_Problems/592099: A cattle train left miami and traveled toward New York. 14 hours later a diesel train left traveling at 45km/hr in an effort to catch up to the cattle train. after traveling for four hours, the diesel train caught up. find the average speed of cattle train 1 solutions
Answer 375937 by ankor@dixie-net.com(15652) on 2012-03-27 17:50:12 (Show Source):
You can put this solution on YOUR website!cattle train left miami and traveled toward New York.
14 hours later a diesel train left traveling at 45km/hr in an effort to catch up to the cattle train.
after traveling for four hours, the diesel train caught up.
find the average speed of cattle train
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Travel time of the diesel is given as 4 hrs
then
4 + 14 = 18 hrs is the travel time of the cattle train
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let s = speed of the cattle train
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When the diesel catches the cattle, they will have traveled the same distance
Write a distance equation; dist = speed * time
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18s = 4*45
18s = 180
s = 180/18
s = 10 mph is the cattle train
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Confirm this solution by finding the distance of each train
4*45 = 180 mi
18*10= 180 mi
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