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One morning, Brenda rode 30 miles. By traveling only 5 miles per hour faster and putting in one more hour, Randy covered twice the distance Brenda covered. What was the speed of each cyclist?
1 solutions
Answer 169488 by ankor@dixie-net.com(15747)   on 2009-10-18 15:31:46 (Show Source):
You can put this solution on YOUR website!Brenda and her husband Randy bicycled cross-country together.
One morning, Brenda rode 30 miles.
By traveling only 5 miles per hour faster and putting in one more hour,
Randy covered twice the distance Brenda covered.
What was the speed of each cyclist?
:
Let s = B's speed
then
(s+5) = R's speed
:
Write a time equation Time = dist/speed
B's time + 1 hr = R's time
 + 1 = 
Multiply equation by s(s+5), results
30(s+5) + s(s+5) = 60s
:
30s + 150 + s^2 + 5s = 60s
:
Group like terms on the left
s^2 + 30s + 5s - 60s + 150 = 0
:
A quadratic equation
s^2 - 25s + 150 = 0
:
Factors to
(s - 15)(s - 10) = 0
:
Two solutions
s = 10 mph
s = 15 mph
;
:
Check both these solutions in the original equation, both will work
|
Travel_Word_Problems/228224: I am trying to solve the following question:
a bird flies back and forth between two approaching trains. The bird flies 150mph. The trains are initially 510 miles apart, and are traveling tward each other at 40 and 80 mph, respectively. Hw far does hte bird fly before being crushed between the 2 trains? I have solved each for the equation d=rt and I am stumped. Any suggestions with set up. Thank you.
1 solutions
Answer 169461 by ankor@dixie-net.com(15747) on 2009-10-18 14:03:12 (Show Source):
You can put this solution on YOUR website!a bird flies back and forth between two approaching trains.
The bird flies 150mph.
The trains are initially 510 miles apart, and are traveling tward each other at 40 and 80 mph, respectively.
How far does the bird fly before being crushed between the 2 trains?
:
All we have to do is find out how long before the trains collide, then multiply
that times the bird's speed, to find out how far it flies.
:
The relative speed of the trains to each other: 40 + 80 = 120 mph
:
time of collision * speed of bird = birds distance
 * 150 = 637.5 miles
|
Rate-of-work-word-problems/228210: A farmer milking his cows in cows in 2/3 of an hour, and his son can do the job in 1 hour. How long will it take them to milk the cow together?
Pleaswe provide a detailed explanantion of the steps to be taken in problems like this...
1 solutions
Answer 169457 by ankor@dixie-net.com(15747) on 2009-10-18 13:55:05 (Show Source):
You can put this solution on YOUR website!A farmer milking his cows in cows in 2/3 of an hour, and his son can do the job in 1 hour.
How long will it take them to milk the cow together?
:
Let t = time required when milking together
:
Let the completed job = 1
:
Each will do a fraction of the job, the two fractions add up to 1
 +  = 1
Using the rule, "invert the dividing fraction and multiply", we have:
 + t = 1
Multiply equation by 2
3t + 2t = 2
5t = 2
t =  hr working together
:
:
Check solution on calc, using t = .4
.4/(2/3) + .4 = 1
|
Rate-of-work-word-problems/228190: If Jim and Tom can do a job together in 3.5 hours, and Jim can do the job alone in 4 hours. How long toes it take Tom to do the job alone?
1 solutions
Answer 169444 by ankor@dixie-net.com(15747) on 2009-10-18 12:41:14 (Show Source):
You can put this solution on YOUR website!If Jim and Tom can do a job together in 3.5 hours, and Jim can do the job alone in 4 hours.
How long toes it take Tom to do the job alone?
:
Let = time required by Tom alone
:
Typical shared work equation
:
let the completed job = 1
:
 +  = 1
multiply equation by 4t, results:
3.5t + 4(3.5) = 4t
:
3.5t + 14 = 4t
:
14 = 4t - 3.5t
:
14 = .5t
:
t = 28 hrs, Tom alone
;
;
Check on a calc: enter: (3.5/4) + (3.5/28) = 1
|
Equations/227802: Hello,
I would like to make sure I have set-up the equation correctly for the two following word problems:
A factory had fixed costs of $12000 per month and a unit cost of $3.75 for every pair of ice grippers that it makes. If the factory can sell all the ice grippers it can make for $8.75 per pair, how many must be sold per month for the factory to break even?
Is the equation? 3.75+8.75x=12000
Number 2... Sally and Mark are having a friendly race with their scooters. Their scooters took off at the same time. Sally was able to go 30mph all the way to the finish line but Mark averaged only 20mph. When Sally finished, Mark still had 7.5 miles to go. How far was the finish line from the start?
Is the equation? 20+ 7.5x= 30-x
1 solutions
Answer 169438 by ankor@dixie-net.com(15747) on 2009-10-18 11:37:59 (Show Source):
You can put this solution on YOUR website!A factory had fixed costs of $12000 per month and a unit cost of $3.75 for every
pair of ice grippers that it makes. If the factory can sell all the ice grippers
it can make for $8.75 per pair, how many must be sold per month for the factory to break even?
:
Is the equation? 3.75+8.75x=12000
no
Cost = 3.75x + 12000
Revenue = 8.75x; (total from sales)
Break even occurs when Rev = cost, therefore find x from:
8.75x = 3.75x + 12000
8.75x - 3.75 = 12000
5x = 12000
x = 2400 has to be sold to break even
:
You confirm this by checking (are they equal?):
8.75(2400)
and
3.75(2400) + 12000
:
:
Number 2... Sally and Mark are having a friendly race with their scooters.
Their scooters took off at the same time.
Sally was able to go 30mph all the way to the finish line but Mark averaged only 20mph.
When Sally finished, Mark still had 7.5 miles to go.
How far was the finish line from the start?
:
Is the equation? 20+ 7.5x= 30-x
no
:
Sally's time to go the distance = Marks time to go 7.5 less than the distance.
time = dist/speed
 = 
Cross multiply
30(x-7.5) = 20x
30x - 225 = 20x
30x - 20x = + 225
10x = 225
x = 22.5 miles
;
:
Check this by finding if the time to go 22.5 mi at 30 mph,
Is the same as going 15 mi at 20 mph
22.5/30 = .75 hr
15/20 = .75
;
:
Did this make sense to you, any questions?
|
Numbers_Word_Problems/227333: the second of 3 numbers is 6 more then the first. The third number is twice the first. the sum of the three numbers is 26. Find the three numbers
1 solutions
Answer 169431 by ankor@dixie-net.com(15747) on 2009-10-18 11:06:01 (Show Source):
You can put this solution on YOUR website!the second of 3 numbers is 6 more then the first. The third number is twice the first. the sum of the three numbers is 26. Find the three numbers
:
Let x = the 1st number
:
"the second of 3 numbers is 6 more then the first."
(x+6) = 2nd number
:
" The third number is twice the first."
2x = 3rd number
:
the sum of the three numbers is 26.
x + (x+6) + 2x = 26
:
Find the three numbers, I think you can do that now
|
Linear-systems/228116: how in the world do I find three points for the equation 3y-6=0 or 2x+5=0. I already know how to do y= 3x-2 or y=-2x+3 because the y is on the side of the problem I can do anything as long as the y is on the side the 3y-6=0 the y is not next to the equal how in the world do I solve this.
1 solutions
Answer 169407 by ankor@dixie-net.com(15747) on 2009-10-18 07:29:15 (Show Source):
You can put this solution on YOUR website!how in the world do I find three points for the equation 3y-6=0 or 2x+5=0. I already know how to do y= 3x-2 or y=-2x+3 because the y is on the side of the problem I can do anything as long as the y is on the side the 3y-6=0 the y is not next to the equal how in the world do I solve this.
"
3y - 6 = 0
Add 6 to both sides
3y = +6
Divide both side by 3
y = 2; this is plotted as a horizontal line going thru y=2, no specific value of x
:
2x + 5 = 0
subtract 5 from both sides
2x = -5
divide both sides by 2
x = -2.5
:
Plot this as a vertical line going thru x=-2.5, no specific value for y
|
Travel_Word_Problems/228030: Two cars leave an intersection at the same time. One is headed North at a constant speed of 40 miles per hour, and the other is headed east at a constant speed of 50 miles per hour. Express the distance between the cars as a function of the time t
1 solutions
Answer 169383 by ankor@dixie-net.com(15747) on 2009-10-17 21:55:59 (Show Source):
You can put this solution on YOUR website!Two cars leave an intersection at the same time. One is headed North at a constant speed of 40 miles per hour, and the other is headed east at a constant speed of 50 miles per hour. Express the distance between the cars as a function of the time t
:
The distance between the two cars will be the hypotenuse of a right triangle
d = 
|
Quadratic_Equations/228018: solve by completing the square
9X^2 +18x-5
now i divide 9 into 9x^2 , 18x and -5 to get
x^2 +2x -5/9
then i square of -5/9 to get -5/3 and i got stuck because my book says that by squaring x ^2 +2 its suppose to equal to -1/3
anyone can give me a full break down why the answer to 9x^2 +18x=-5x is
-1/3, -5/3
1 solutions
Answer 169375 by ankor@dixie-net.com(15747) on 2009-10-17 21:31:26 (Show Source):
You can put this solution on YOUR website!9X^2 +18x-5
now i divide 9 into 9x^2 , 18x and -5 to get
x^2 + 2x - 5/9 = 0
:
x^2 + 2x + ___ = 
:
Complete the square, divide the coefficient of 2 by 2 and square (2/2)^2 = 1
x^2 + 2x + 1 = + 1; added 1 to both sides
:
x^2 + 2x + 1 = + 
:
(x + 1)^2 = 
:
Find the square root of both sides
x + 1 = +/- 
:
Extract the square root of 1/9
x + 1 = +/- 
:
Two solutions
x = -1 -
and
x = -1 +
;
:
I know this is not what your book says, but that's what I get for this equation
It checked out on my Ti83
|
Rectangles/227484: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 18 in. by 30 in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.
1 solutions
Answer 169366 by ankor@dixie-net.com(15747) on 2009-10-17 21:08:26 (Show Source):
You can put this solution on YOUR website!A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 18 in. by 30 in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.
:
If squares with a side x, are removed from each corner, the dimensions of the box:
(30-2x) by (18-2x) by x
:
V = H * L * W
:
V = x*(18-2x)*(30-2x)
FOIL
V = x(540 - 36x - 60x + 4x^2)
:
V = x(4x^2 - 96x + 540)
:
V(x) = 4x^3 - 96x^2 + 540x
|
Equations/227916: A man walks a certain distance at a certain rate. Had he walked 1/2 km per hour faster, he would have taken 1 hour less but if he had gone 1 km per hour slower, he would have taken 3 hours longer. Find his original rate of walking and the distance he travelled. ANS: 4 km per hour....36km. ( i want the solution plz)
1 solutions
Answer 169364 by ankor@dixie-net.com(15747) on 2009-10-17 20:06:53 (Show Source):
You can put this solution on YOUR website!A man walks a certain distance at a certain rate.
Had he walked 1/2 km per hour faster, he would have taken 1 hour less
but if he had gone 1 km per hour slower, he would have taken 3 hours longer.
Find his original rate of walking and the distance he traveled.
:
Let r = the rate the man walked
then
(r+.5) = 1 hr less rate
and
(r-1) = 3 hr more rate
:
:
let t = time he actually walked
then
(t-1) = time at the faster rate
and
(t+3) = time at the slower rate
:
distance for all three situations is the same (dist = rate * time):
;
actual dist = faster time dist
rt = (r+.5)(t-1)
FOIL the right side
rt = rt - r + .5t - .5
group the variables on left
rt - rt + r - .5t = -.5
r - .5t = -.5
:
actual dist = slower time dist
rt = (r-1)(t+3)
FOIL the right side
rt = rt + 3r -t - 3
rt - rt - 3r + t = -3
-3r + t = -3
:
multiply the 1st equation by 2 and add to the above equation
2r - t = -1
-3r + t = -3
---------------eliminates t
-r = -4
r = 4 km/h is the actual walking rate
:
Find t using: r -.5t = -.5
4 - .5t = -.5
-.5t = -.5 - 4
-.5t = - 4.5
Multiply eq by -2
t = 9 hrs actual time
:
Dist = r*t
4 * 9 = 36 km
:
:
see if this is true; find the time of each scenario
36/4.5 = 8 hrs (1h less)
36/3 = 12 hrs (3hr more)
|
Mixture_Word_Problems/227839: A bag of peanuts is worth 30 cents less than a bag of cashews. Equal amounts of peanuts and cashews are used to make 40 bags of a mixture that sells for $1.05 per bag. How much would a bag of cashews be worth?
1 solutions
Answer 169261 by ankor@dixie-net.com(15747) on 2009-10-17 10:37:33 (Show Source):
You can put this solution on YOUR website!A bag of peanuts is worth 30 cents less than a bag of cashews.
Equal amounts of peanuts and cashews are used to make 40 bags of a mixture that sells for $1.05 per bag.
How much would a bag of cashews be worth?
:
Let x = cost of a bag of cashews
then
(x-.30) = cost of peanuts
:
there will be 20 bags of each
:
20x + 20(x-.30) = 1.05(40)
;
20x + 20x - 6 = 42
:
40x = 42 + 6
:
40x = 48
x = 
x = $1.20 cost of a bag of cashews
|
Inequalities/227413: This is in reference to Solving Multi-step Inequalities.
1) What is the answer (including steps to solve) to the following question: 7>5x-3 Seven is greater than or equal to 5x-3.
I came up with the answers x=2 AND x=-2.
-
1 solutions
Answer 169259 by ankor@dixie-net.com(15747) on 2009-10-17 10:17:50 (Show Source):
You can put this solution on YOUR website!1) What is the answer (including steps to solve) to the following question:
7 > 5x-3
:
Rewrite the equation with the unknown on the left, (reverse the inequality sign)
5x - 3 < 7
:
5x < 7 + 3
:
5x < 10
:
x < 2
|
Linear_Equations_And_Systems_Word_Problems/227497: 4.4. A person invested 17,000 for one year, part at 10% part at 12%. The total annual income from these investments was 716. The amount of money invested at 12# was 300.00 more than the amounts invested at 8% and 10% combined. Find the amount invested at each rate. PLEASE HELP>>>>>>>>I AM LOOOOOSSSSSSSTTTTTTTT
1 solutions
Answer 169258 by ankor@dixie-net.com(15747) on 2009-10-17 09:59:34 (Show Source):
You can put this solution on YOUR website! A person invested 17,000 for one year, part at 10% part at 12%.
The total annual income from these investments was 716.
The amount of money invested at 12% was 300.00 more than the amounts invested at 8% and 10% combined.
Find the amount invested at each rate.
:
In the first sentence you indicate two investments of 10% & 12%, then in the last
sentence, you mention an 8% investment. Perhaps you can clarify this, and we can help you find your way, this fine Saturday morning!
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Inequalities/227835: Mrs. Vinas has three daughters born in consecutive years. The sum of the ages of three is more than 56 years decreased by the age of the middle daughter. What are the least ages of the girls?
1 solutions
Answer 169254 by ankor@dixie-net.com(15747) on 2009-10-17 09:50:54 (Show Source):
You can put this solution on YOUR website!Mrs. Vinas has three daughters born in consecutive years.
x, (x+1), (x+2)
:
The sum of the ages of three is more than 56 years decreased by the age of the middle daughter.
x + (x+1) + (x+2) > 56 - (x+1)
3x + 3 > 55 - x
3x + x > 55 - 3
4x > 52
x > 
x > 13
:
What are the least ages of the girls? 14, 15, 16
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Age_Word_Problems/227833: John's father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages will be 58. How old is John now?
1 solutions
Answer 169252 by ankor@dixie-net.com(15747) on 2009-10-17 09:35:02 (Show Source):
You can put this solution on YOUR website!John's father is 5 times older than John
F = 5J
:
John is twice as old as his sister Alice.
J = 2A
or
A = .5J
:
In two years time, the sum of their ages will be 58.
F+2 + J+2 + A+2 = 58
F + J + A + 6 = 58
F + J + A = 58 - 6
F + J + A = 52
:
How old is John now?
:
Substitute for F & A
5J + J + .5J = 52
6.5J = 52
J = 
J = 8 yrs is John
:
:
You can check solution using the given equations
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Travel_Word_Problems/227808: Two cyclists were going to race. It takes Mary 6 minutes to ride around the track once. It takes Mike 4 minutes to ride around the track. How many minutes will pass between each of the times that Mike passes Mary?
1 solutions
Answer 169251 by ankor@dixie-net.com(15747) on 2009-10-17 09:25:02 (Show Source):
You can put this solution on YOUR website!Two cyclists were going to race. It takes Mary 6 minutes to ride around the track once. It takes Mike 4 minutes to ride around the track. How many minutes will pass between each of the times that Mike passes Mary?
:
It would be the common multiple: 12, 24, 36 etc min
:
In 12 min, Ma would complete 2 laps, and Mi would complete 3 laps
:
Every 12 min then
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Mixture_Word_Problems/227415: Mixing Solutions. Many occupations require the mixture of liquids to create a needed solution of a certain strength. Since the strength of a solution is dependent on the customers need, stockpiling all strengths is not economically possible. So, the solution is made to order.
Question 1: A pharmacist wants to make a solution that is 60% alcohol. On the shelf are two bottles of 40% and 20% strength alcohol. Explain the step(s) and the outcome of this mixture.
1 solutions
Answer 169242 by ankor@dixie-net.com(15747) on 2009-10-17 08:33:01 (Show Source):
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Numeric_Fractions/227742: I have a story question that is really bugging me and my family. If you can help it would be much appreciated.
Raymond purchased a box of candy. On the way back from the store he ate 1/4 of the candy. As he was putting away the groceries he ate 1/2 of what was left. There are now six chocolates left in the box. How many chocolates were in the box to begin with.Please show your work.
so far this is what ive done.
6/1 divided by 1/4 equals 12/1 from here im stuck. the equation i came up with looks like this:x-1/4=12
i cant figure it out whether i do multiply,divide,add or subtract nothing seems to fit
1 solutions
Answer 169208 by ankor@dixie-net.com(15747) on 2009-10-16 21:55:41 (Show Source):
You can put this solution on YOUR website!Raymond purchased a box of candy. On the way back from the store he ate 1/4 of the candy.
As he was putting away the groceries he ate 1/2 of what was left. There are now six chocolates left in the box.
How many chocolates were in the box to begin with.
:
let x = no. in the box to start with
:
x -  x =  x; left when he got home
:
Then he ate half, leaving half
 * x = 6
 x = 6
Multiply by 8
3x = 48
x = 
x = 16 to start with
:
:
Check. ate 4, left 12, ate a half left 6
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Miscellaneous_Word_Problems/227660: In and apartment building there is one elevator, and the maximum load that it can carry is 2,000 pounds. The maintenance supervisor wants to move a replacement part for the air- conditioning unit to the roof. The part weighs 1,600 pounds, and the mechanized cart on which it is being moved weighs 250 pounds. When the maintenance supervisor drives the cart onto the elevator, the alarm sounds to signify that the elevator is overloaded. A. how much does the maintenance supervisor weigh? B. How can the replacement part be delivered to the roof if the part cannot be disassembled?
1 solutions
Answer 169205 by ankor@dixie-net.com(15747) on 2009-10-16 21:48:19 (Show Source):
You can put this solution on YOUR website!In and apartment building there is one elevator, and the maximum load that it can carry is 2,000 pounds. The maintenance supervisor wants to move a replacement part for the air- conditioning unit to the roof. The part weighs 1,600 pounds, and the mechanized cart on which it is being moved weighs 250 pounds. When the maintenance supervisor drives the cart onto the elevator, the alarm sounds to signify that the elevator is overloaded.
:
A. how much does the maintenance supervisor weigh?
2000 - 250 - 1600 = 150, more than 150 lb
:
B. How can the replacement part be delivered to the roof if the part cannot be disassembled?
Just leave the loaded elevator, go up the stairs to the top floor and press
the button, and wait for the elevator to arrive, hopefully no one else will call the elevator first.
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Linear_Equations_And_Systems_Word_Problems/227223: the sum of three numbers is -2. the sum of three times the first number, twice the second number, and the third number is 9. the difference between the second number and half the third number is 10. find the numbers
1 solutions
Answer 169151 by ankor@dixie-net.com(15747) on 2009-10-16 18:36:18 (Show Source):
You can put this solution on YOUR website!Three numbers, x, y, z
:
Write an equation for each statement:
:
"the sum of three numbers is -2."
x + y + z = -2
:
"the sum of three times the first number, twice the second number, and the third number is 9."
3x + 2y + z = 9
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" the difference between the second number and half the third number is 10."
y - .5z = 10
:
find the numbers:
:
Multiply the last equation by 2 and add to the 1st equation
x + y + z = -2
0 + 2y -z = 20
---------------addition eliminates z
x + 3y = 18
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Add the same equation to the 2nd the equation
3x + 2y + z = 9
0 + 2y - z = 20
------------------eliminate z again
3x + 4y = 29
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Use these two 2 unknown equations to eliminate x
Multiply the 1st one by 3
3x + 9y = 54
3x + 4y = 29
--------------Subtraction eliminates x
0x + 5y = 25
y = 
y = 5
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Using y - .5z = 10
5 - .5z = 10
-.5z = 10 - 5
z = 
z= -10
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Find x using the 1st equation
x + 5 -10 = -2
x - 5 = -2
x = - 2 + 5
x = +3
:
:
Check solutions in the 2nd equation
3x + 2y + z = 9
3(3) + 2(5) - 10 = 9; confirms our solution
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Age_Word_Problems/227184: Ann, Barb and Cathy are all younger than 100. The sum of any two of their ages is the reverse of the digits of the remaining person's age. What are their ages?
I was doing o.k. until I hit the reverse digits line:(
1 solutions
Answer 169087 by ankor@dixie-net.com(15747) on 2009-10-16 13:49:41 (Show Source):
You can put this solution on YOUR website!Ann, Barb and Cathy are all younger than 100.
The sum of any two of their ages is the reverse of the digits of the remaining person's age. What are their ages?
:
We know one thing about the reversal of digits, the difference between the two numbers is always a multiple of nine.
So all three ages have to be multiples of nine.
:
This narrows our choice of numbers to:18,27,36,45,54,63,81.
The sums of any two will be a multiple of 9 also
:
After a couple false hopes, I chose A=18; B=45
18 + 45 = 63, reversing that: C=36
and B + C
45 + 36 = 81, reversing that: A=18
and A + C
18 + 36 = 54, reversing this: B=45
:
Ann is 18
Barb is 45
Cathy is 36
:
As far as writing an equation to solve this, it would be extremely complicated, not practical, at least that's my opinion which is probably is not worth much.
Anyway, to date, no one has ventured to solve this one Carl
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Money_Word_Problems/227605: what equation could help me solve this problem??
Briana and her sister Molly both want to buy the same model bicycle. Briana needs $73 more before she can afford the bike. Molly needs $65 more. If they combine their money, they will have just enough to buy one bicycle that they could share. What is the cost of the bicycle?
1 solutions
Answer 169086 by ankor@dixie-net.com(15747) on 2009-10-16 13:02:41 (Show Source):
You can put this solution on YOUR website!what equation could help me solve this problem??
Briana and her sister Molly both want to buy the same model bicycle. Briana needs $73 more before she can afford the bike. Molly needs $65 more. If they combine their money, they will have just enough to buy one bicycle that they could share. What is the cost of the bicycle?
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Let x = cost of bike
:
It says,"Briana needs $73 more before she can afford the bike.", so we can say:
(x - 73) = B, $amt
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" Molly needs $65 more."
(x - 65) = M's $amt
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The equation: B's amt + M's amt = cost of bike
(x - 73) + (x - 65) = x
2x - 138 = x
2x - x = 138
x = $138
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Unit_Conversion_Word_Problems/227388: I make my fractions like this: ??/?? with the slash in the middle and all on one line. Solve the equation.Can you help me with these 2 problems?
-3/x=x/3
I do not no how to solve these correctly. Can someone please show me how to do these correctly??? I really need to pass this course, and I need all the help I can, so it would be much appreciated!!! Thanks!!
2/x-3 + 3/3-x
1 solutions
Answer 169056 by ankor@dixie-net.com(15747) on 2009-10-16 10:12:27 (Show Source):
You can put this solution on YOUR website! = 
The common denominator would be 3x, multiply both sides by 3x
(With single fractions on each side, you can cross multiply and do the same thing)
3x* = 3x*
cancel the denominators
3(-3) = x*x
-9 = x^2
x = 
x = 
square root of a negative presents a problem, we have to use i, the square root of -1
x = i* 
x = 3i
:
:
 + 
This is not an equation, we can only combine it into a single fraction
To add we have to have a common denominator, we can make this by multiplying
the 2nd denominator by -1, this changes the signs inside the brackets
 + 
divide the -1 into 3 and we have;
+  =  =  = 
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Functions/227298: Hi, I have a question about how to go about this function word problem, can someone help me pleasee?
A student holds a ball of string attached to a kite. The string is held 1 m above ground and rises at a 30 degree angle to the horizontal. If the student lets the string out at a rate of 2 m per second, express the kite's height h(in meters) as a function of the time (in seconds) after the kite begins to fly.
1 solutions
Answer 168968 by ankor@dixie-net.com(15747) on 2009-10-15 19:59:38 (Show Source):
You can put this solution on YOUR website!A student holds a ball of string attached to a kite.
The string is held 1 m above ground and rises at a 30 degree angle to the horizontal.
If the student lets the string out at a rate of 2 m per second, express the
kite's height h(in meters) as a function of the time (in seconds) after the kite begins to fly.
:
The kite string will be the hypotenuse (2t)
The height will be the side opposite (h)
:
sin(30) = 
.5 =
;
h = .5*2t
h = t
It was started 1 meter from the ground
h(t) = t + 1
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Rectangles/227303: two suitcases are similar rectangular solids. The length of the second suitcase is twice the length of the first. The first suitcase has a volume of 1568 cubic inches what is the volume of the second suitcase in cubic inches.
Is there a formula for this. My son and I have tried and tried and just can't do this. Thank you
1 solutions
Answer 168956 by ankor@dixie-net.com(15747) on 2009-10-15 19:19:46 (Show Source):
You can put this solution on YOUR website!Two suitcases are similar rectangular solids.
The length of the second suitcase is twice the length of the first.
The first suitcase has a volume of 1568 cubic inches.
What is the volume of the second suitcase in cubic inches?
:
Since the suitcases are similar, we can assume the width and height of the second suitcase, is also twice the first;
:
First suitcase
L * W * H= 1568
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2nd suitcase
2L * 2W * 2H = 8*L*W*H
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Replace L*W*H with 1568
8(1568) = 12544 cu/in
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Travel_Word_Problems/227176: brittany can run 1 mile in 6 min and christina can run 1mile in 9 min. if both brittany and christiana start at the same time nd brittany starts 1/3 of a mile behind christina how long will it take brittany to catch up to christina
1 solutions
Answer 168893 by ankor@dixie-net.com(15747) on 2009-10-15 16:49:04 (Show Source):
You can put this solution on YOUR website!Brittany can run 1 mile in 6 min, and Christina can run 1 mile in 9 min.
If both Brittany and Christina start at the same time, and brittany starts 1/3 of
a mile behind Christina, how long will it take Brittany to catch up to Christina
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I may be easier to do this in ft/min
B's speed:  = 880 ft/min
C's speed:  = 586.67 ft/min
:
 *5280 = 1760 ft is 1/3 of a mile
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Let t = time (in minutes) for B to catch C
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Write a distance equation (dist = speed * time)
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B's dist = C's dist + 1/3 mile
880t = 586.67t + 1760
:
880t - 586.67t = 1760
:
293.33t = 1760
t = 
t = 6 minutes
:
:
Check solution by finding the dist of each
6*880 = 5280
6*586.67 = 3520
---------------
difference 1760, which is 1/3 of a mile
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Graphs/226901: 2x-5y=10 I have tried many times to graph this and I know my problem lies with a negative and/or positive solution-help??
1 solutions
Answer 168886 by ankor@dixie-net.com(15747) on 2009-10-15 16:20:31 (Show Source):
You can put this solution on YOUR website!2x - 5y = 10
We want this in the slope intercept form y = mx + b
2x - 5y = 10
-5y = 10 - 2x
We need y to be positive, multiply both sides by -1
5y = 2x - 10
Divide both sides by 5
y = x - 
y = .4x - 2
;
Two points:
x = -5
y = .4(-5) - 2
y = -2 - 2
y = -4
and
x = +5
y = .4(5) - 2
y = +2 - 2
y = 0
;
Plot and join these two points -5,-4 and +5,0
:
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logarithm/226911: Formula: M=log(A/Ao)*o should be a subscript**. Magnitude of an earthquake on the Richter scaleis based on A, measurement of a seismic wave, and Ao, the measurement of a seismic wave of a level zero earthquake with the same epicenter. An earthquakewas recorded which was 7,943,282 times more powerful than a reference level zero earthquake. What is the magnitude of this earthquake?
1 solutions
Answer 168881 by ankor@dixie-net.com(15747) on 2009-10-15 16:06:26 (Show Source):
You can put this solution on YOUR website!Formula: M=log(A/Ao)*o should be a subscript**. Magnitude of an earthquake on the Richter scale is based on A, measurement of a seismic wave, and Ao, the measurement of a seismic wave of a level zero earthquake with the same epicenter. An earthquake was recorded which was 7,943,282 times more powerful than a reference level zero earthquake. What is the magnitude of this earthquake?
Wouldn't just be:
:
M = log(7943282)
M = 6.9 on the Richter scale
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