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Points-lines-and-rays/375376: A cylinder 126 cm high has a circumference of 24 cm. A string makes
exactly 7 complete turns round the cylinder while its two ends touch the
cylinder's top and bottom. How long is the string in cm?
1 solutions

Answer 266964 by Alan3354(31487) About Me  on 2010-11-23 11:34:09 (Show Source):
You can put this solution on YOUR website!
Each turn of the string is the hypotenuse of a right triangle.
The base is the circumference = 24 and the 2nd side is 126/7 = 18 cm
Length+=+7%2Asqrt%2824%5E2+%2B+18%5E2%29
Length = 210 cm


Travel_Word_Problems/375387: You and your friend leave home at the same time. Your friend travels by train at 45 mph directly east while you travel by bus 50 mph directly south. You are talking on a cell phone, but your plan charges extra if the phones are 100 miles or more apart. How long will you and your friend be able to talk before the charges increase?
1 solutions

Answer 266961 by Alan3354(31487) About Me  on 2010-11-23 11:18:57 (Show Source):
You can put this solution on YOUR website!
You and your friend leave home at the same time. Your friend travels by train at 45 mph directly east while you travel by bus 50 mph directly south. You are talking on a cell phone, but your plan charges extra if the phones are 100 miles or more apart. How long will you and your friend be able to talk before the charges increase?
----------------
The distance is the hypotenuse.
One side = 45t
Side 2 = 50t
hyp+=+sqrt%28+%2845t%29%5E2+%2B+%2850t%29%5E2%29+=+sqrt%284525t%5E2%29
Find t for sqrt%284525t%5E2%29+=+100
t = 100/sqrt(4525)
t = 1.4866 hours


Mixture_Word_Problems/375326: In the middle of a round pond floats a lovely pond-plant. The size of the pond-plant doubles every day. After exactly 10 days the complete pond will be covered by the plant. After how many days will half of the pond be covered by the pond-plant?
1 solutions

Answer 266959 by Alan3354(31487) About Me  on 2010-11-23 11:13:14 (Show Source):
You can put this solution on YOUR website!
If by size it means area, it will be 9 days.


test/375354: which speed is the fastest(use 1 mile = 1.6 kilometers)
A. 12 miles/hour
B. 18 feet/second
C. 19kilometers/hour
D. cannot be determined
1 solutions

Answer 266957 by Alan3354(31487) About Me  on 2010-11-23 11:11:48 (Show Source):
You can put this solution on YOUR website!
Change them to feet/second


Geometry_proofs/375378: what other information do you need to prove angle dwo eaqual to angle dwg
1 solutions

Answer 266956 by Alan3354(31487) About Me  on 2010-11-23 11:10:42 (Show Source):
You can put this solution on YOUR website!
Other besides what? No info is given.


Numeric_Fractions/375383: x/1-y=(x/1-y)^3

1 solutions

Answer 266955 by Alan3354(31487) About Me  on 2010-11-23 11:09:21 (Show Source):
You can put this solution on YOUR website!
Do you have a question?


Trigonometry-basics/375382: Verify
(1+tanx/sinx)-secx=cscx
1 solutions

Answer 266954 by Alan3354(31487) About Me  on 2010-11-23 11:06:53 (Show Source):
You can put this solution on YOUR website!
Verify
(1+tanx/sinx)-secx=cscx
1 + 1/cos - 1/cos = 1/sin
1 = 1/sin It's not an identity, not equal


test/375384: Please help me simplify this +%28x%5E%281%2F3%29-1%29%2F%28x-1%29+
1 solutions

Answer 266949 by Alan3354(31487) About Me  on 2010-11-23 10:57:03 (Show Source):
You can put this solution on YOUR website!
Please help me simplify this +%28x%5E%281%2F3%29-1%29%2F%28x-1%29+
--------
You can treat the denominator as a difference of 2 cubes with
x+=+%28x%5E%281%2F3%29%29%5E3
Sub y for x^1/3
+%28x%5E%281%2F3%29-1%29%2F%28x-1%29+=+%28y+-+1%29%2F%28y%5E3+-+1%29
= %28y-1%29%2F%28%28y-1%29%2A%28y%5E2+%2B+y+%2B+1%29%29
= 1%2F%28y%5E2+%2B+y+%2B+1%29%29
Sub back for y
= 1%2F%28x%5E%282%2F3%29+%2B+x%5E%281%2F3%29+%2B+1%29
--------------------
Do you consider that simpler? I don't.
I would answer that the original cannot be simplified.


Permutations/375385: a 4 symbol password is to be formed with one letter and three digits. how many such passwords are there?
1 solutions

Answer 266946 by Alan3354(31487) About Me  on 2010-11-23 10:49:49 (Show Source):
You can put this solution on YOUR website!
Is it case sensitive? That is, is Q different from q ?
If so, there are 52 letters. If not, there are 26.
The combinations = L*10*10*10 = 1000*L
If it's case sensitive = 52000
If not = 26000


Linear_Algebra/375332: Solve a problem algebraically.
How many gas stations are in Los Angeles?
1 solutions

Answer 266943 by Alan3354(31487) About Me  on 2010-11-23 10:13:31 (Show Source):


Linear-systems/375372: which of these images represents the following system of equations being solved graphically?
-10x-4y=100
2x+6y=-20
1 solutions

Answer 266942 by Alan3354(31487) About Me  on 2010-11-23 10:11:53 (Show Source):
You can put this solution on YOUR website!
No images are shown.


Polynomials-and-rational-expressions/375239: evluate the following
9 to the negative second power
1 solutions

Answer 266836 by Alan3354(31487) About Me  on 2010-11-22 21:57:15 (Show Source):


Numbers_Word_Problems/375240: The product of two consecutive even integers x and y is 120. Find the two integers. (Assume x < y.)
1 solutions

Answer 266835 by Alan3354(31487) About Me  on 2010-11-22 21:55:50 (Show Source):
You can put this solution on YOUR website!
sqrt(120) = ~11
--> 10 & 12


Circles/375202: the radius of the outer circle is 8 cm, the radius of the inner circle is 5 cm, and the measure or angle AOB=90. what is the shaded area to the nearest tenth of a square centimeter?
1 solutions

Answer 266827 by Alan3354(31487) About Me  on 2010-11-22 21:05:31 (Show Source):
You can put this solution on YOUR website!
No shaded area is shown.


Geometry_Word_Problems/375211: The radius of the broadcast area is 10,000 feet. Find the area of this circle to the nearest square foot. Use 3.14 for π (Pi).
1 solutions

Answer 266826 by Alan3354(31487) About Me  on 2010-11-22 21:04:25 (Show Source):


Quadratic_Equations/375143: Solve the system of equations by graphing. Then clasify the system.
6u=v= 32
6u=v=40
1 solutions

Answer 266804 by Alan3354(31487) About Me  on 2010-11-22 20:17:16 (Show Source):
You can put this solution on YOUR website!
Too many equal signs.


Polynomials-and-rational-expressions/375106: I hope someone can help me with this.... The problem asks, "Write a guadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0 (Solution 4, only solution)
The equation is ____________=0
1 solutions

Answer 266741 by Alan3354(31487) About Me  on 2010-11-22 18:05:49 (Show Source):


Volume/375110: A cardboard box is 60 cm wide, 60 cm tall, and 87 cm long. What is the radius of the largest circular object that can fit through the square face of the box?
1 solutions

Answer 266740 by Alan3354(31487) About Me  on 2010-11-22 18:04:20 (Show Source):
You can put this solution on YOUR website!
That's the circle that fits in a 60 by 60 cm square.
r = 30 cm


Miscellaneous_Word_Problems/375077: Two ships leave Honolulu Harbor at the same time. One travels at 15 knots (nautical miles per hour) bearing 150 degrees, and the other travels at 12 knots bearing 200 degrees. How far apart are the two ships after 10 hours?
1 solutions

Answer 266733 by Alan3354(31487) About Me  on 2010-11-22 17:27:36 (Show Source):
You can put this solution on YOUR website!
One side of the triangle is 150 nm (15*10), the 2nd is 120 nm (12*10).
The included angle is 50º (200 - 150)
Use Cosine Law
d%5E2+=+150%5E2+%2B+120%5E2+-+2%2A120%2A150%2Acos%2850%29
Solve for d (in nm, nautical miles)


Probability-and-statistics/374935: A controversy arose in 1992 over the Teen Talk
Barbie doll, each of which was programmed with four sayings
randomly picked from a set of 270 sayings. The controversy
was over the saying, “Math class is tough,” which
some felt gave a negative message toward girls doing well
in math. In an interview with Science, a spokeswoman for
Mattel, the makers of Barbie, said that “There’s a less than
1% chance you’re going to get a doll that says math class
is tough.Ӡ Is this figure correct? If not, give the correct
figure.
1 solutions

Answer 266708 by Alan3354(31487) About Me  on 2010-11-22 16:12:56 (Show Source):
You can put this solution on YOUR website!
Assuming the 4 sayings are different (without replacement), the chances are
1/270 + 1/269 + 1/268 + 1/267
=~ 0.0149 = 1.49%
----------------
If it's possible to get the same saying more than once, it's
4/270 =~ 0.148 = 1.48%
--------
Either way, it's more than 1%


real-numbers/374991: i need all information about application on real number
1 solutions

Answer 266706 by Alan3354(31487) About Me  on 2010-11-22 16:07:24 (Show Source):
You can put this solution on YOUR website!
You can never be sure you have all the information.
There might be more info somewhere.


Trigonometry-basics/375019: Please help me solve this word problem:
In the back stockroom at the Wheel Shop, the number of seats and horns equaled the number of wheels. The number seats and handlebars equaled the number of horns. Twice the number of wheels is equal to three times number of handlebars. Determine the relationship of horns to seats.
1 solutions

Answer 266704 by Alan3354(31487) About Me  on 2010-11-22 16:06:01 (Show Source):
You can put this solution on YOUR website!
What sort of help do you need?
----------
Why do you need to tell us it's a "word problem?"


Expressions-with-variables/375027: using the substitution method what is the answer to this equation?
y=2x-1
x+y=8
1 solutions

Answer 266702 by Alan3354(31487) About Me  on 2010-11-22 16:03:16 (Show Source):
You can put this solution on YOUR website!
Questions have answers.
Equations have solutions (sometimes).
----------------
Which equation?


Expressions-with-variables/374673: Solve the equation.
54x%5E3-6x%5E2-4x=0
(Use a comma to separate answers as needed.)
1 solutions

Answer 266698 by Alan3354(31487) About Me  on 2010-11-22 16:00:56 (Show Source):
You can put this solution on YOUR website!
Factor out x, x = 0
That leaves a quadratic.
Separate answers any way you like.


Miscellaneous_Word_Problems/374973: Chi has a big pile of nickels. He says, Even if I use 100 of these nickels, I'll still have 95% of my original pile. How many nickels does Chi have?
from a frustrated 7th grade Algebra parent!
1 solutions

Answer 266695 by Alan3354(31487) About Me  on 2010-11-22 15:52:33 (Show Source):
You can put this solution on YOUR website!
If he has 95% left, then the 100 nickels is 5%.
20 nickels is 1%
20*100 = 2000 nickels


Functions/374994: y is 21 when x is 3
1 solutions

Answer 266694 by Alan3354(31487) About Me  on 2010-11-22 15:49:15 (Show Source):
You can put this solution on YOUR website!
Thx for sharing.
Do you have a question?


Square-cubic-other-roots/375000: x over the square root of 27x to the third power
1 solutions

Answer 266693 by Alan3354(31487) About Me  on 2010-11-22 15:47:46 (Show Source):
You can put this solution on YOUR website!
%28%28x%2Fsqrt%2827x%29%29%5E3%29 ?
x%2F%28sqrt%2827x%29%29%5E3 ?
x%2Fsqrt%2827x%5E3%29 ?
Is it one of those?


absolute-value/374703: I'm working on factoring and multipliers and I 'm having trouble figuring out how they come up with the answer to this problem. 3x7x133x 1911 That is a space for the answer. I need help on how to find the factors for this problem. Can you please help me? Thank you Shirley

1 solutions

Answer 266486 by Alan3354(31487) About Me  on 2010-11-21 22:09:10 (Show Source):
You can put this solution on YOUR website!
Are those multiplied?


Triangles/374534: Okay. I need some help. How do know how to find the altitude of a triangle??? My problem gives this information: the altitude is (4x-6), and the base is divided into 2 formulas. One side is (x plus 7) and the other is (2x-15). Please help!
1 solutions

Answer 266453 by Alan3354(31487) About Me  on 2010-11-21 19:07:11 (Show Source):
You can put this solution on YOUR website!
It's 4x+6, you said that.


Polynomials-and-rational-expressions/374529: if the given polynomial has a special factorization, factor the polynomial.
9y4 + 24x2y2 + 16x4
1 solutions

Answer 266452 by Alan3354(31487) About Me  on 2010-11-21 19:06:05 (Show Source):


Equations/374531: Hi there could you help me with a problem? I would appreciate your help. I must solve for X. It seems easy I think the answer would be 12 but I need to know the steps. Thank you.
2x + 4 =28
1 solutions

Answer 266451 by Alan3354(31487) About Me  on 2010-11-21 19:04:31 (Show Source):
You can put this solution on YOUR website!
2x + 4 =28
Subtract 4
2x = 24
Divide by 2
x = 12