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Geometry_proofs/345254: given: m<1=m<2, m<3=m<4
Prove: ray YS is perpendicular to line XZ
prove in two column form (statement, reason)
1 solutions

Answer 246897 by solver91311(16868) About Me  on 2010-09-19 18:28:55 (Show Source):
You can put this solution on YOUR website!

Sorry, can't help you. Have to be able to see the picture and how the 4 angles relate to the segment and the ray.


John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Conjunction/345236: 1.) If p is a true statement and q is a false statement then find the truth value of q^(p^q)
2.) If p is false and q is true find the truth value of Pdownarrow (PdownarrowQ)--> p
is it true or false?
1 solutions

Answer 246894 by solver91311(16868) About Me  on 2010-09-19 18:12:36 (Show Source):
You can put this solution on YOUR website!


Let r represent p and q. If p true and q false then p and q false, hence r false. p and (p and q) can be written p and r, but since r false, p and r is false.

+----------+----------+----------+----------+----------+----------+

Let p = "The student asked more than one question in a single post"

Let q = "The student had both of his questions answered."

p --> ~q

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Volume/345229: what is a blob of about 100 cubic feet
1 solutions

Answer 246890 by solver91311(16868) About Me  on 2010-09-19 18:04:25 (Show Source):
You can put this solution on YOUR website!


Is that a philosophical or a rhetorical question?

Do you believe that there is a "right" answer to this question?

Was this question posed by, in, or in relation to a mathematics class?

Is there some part of "ask your question clearly and fully so that it MAKES SENSE" that you don't quite understand? (excerpt from the instructions for posting)

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



percentage/345230: I need to convert numbers into a percentage to make a pie chart...how do I do this? the first # is 13 and the total number is 31.
1 solutions

Answer 246888 by solver91311(16868) About Me  on 2010-09-19 17:56:44 (Show Source):
You can put this solution on YOUR website!

Divide the number that represents each slice of the pie by 31. Move the decimal point two places to the right, then tack on a percent sign. Check your work by adding up all of the percents when you are finished. You should get 100 (or very close, depending on rounding errors).

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Miscellaneous_Word_Problems/345212: 1)Mike said that when he opened his book the product of the two facing pages was 7007.Prove that this could not happen.
2)Place 10 stools along four walls of the room so that each of the four walls has the same number of stools.
1 solutions

Answer 246885 by solver91311(16868) About Me  on 2010-09-19 17:43:04 (Show Source):
You can put this solution on YOUR website!


If you have two facing pages, one of the page numbers must be an even number. If you multiply an even number times any other number, the product will have a factor of 2 because one of the factors had a factor of 2. Therefore, the product of two page numbers from facing pages will always be even. 7007 is odd.

I didn't answer the other question because you didn't follow the instructions for posting on this site.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Linear_Equations_And_Systems_Word_Problems/345209: A woman's $15,000 is to be divided so that her husband receives twice as much as her son. Find the amount of money that her husband receives and the amount of money that her son receives.
This is what I have and I am not sure if it is right or not? x divided by 15,000. Please help me solve this word problem.
Thank you so much
Marcy Ostrander
1 solutions

Answer 246884 by solver91311(16868) About Me  on 2010-09-19 17:35:58 (Show Source):
You can put this solution on YOUR website!


Let represent the amount the son receives. The husband, who receives twice as much must then receive . Presumably, the son and the husband together receive the entire $15K, so:



Solve for

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Permutations/345203: how many different teams of 5 players can be made from a roster with 12 players?
1 solutions

Answer 246881 by solver91311(16868) About Me  on 2010-09-19 17:26:53 (Show Source):
You can put this solution on YOUR website!

That depends. Is Billy, Danny, Frank, John, and Steve the same as Steve, John, Frank, Danny, and Billy? Or are they different teams?

If they are different teams, that is the order of the five players matters, then:



and if they are the same, that is, order does NOT matter, then:



Where is the number of players on the roster, and is the number on a team.


John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Travel_Word_Problems/345202: Two cars start at an interstate interchange and travel in the same direction at average speeds of 40 miles per hour and 55 miles per hour. How much time must elapse before the two cars are 5 miles apart?
1 solutions

Answer 246878 by solver91311(16868) About Me  on 2010-09-19 17:12:37 (Show Source):
You can put this solution on YOUR website!


55 mph minus 40 mph is 15 mph. How long does it take to go 5 miles at 15 mph?

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism




Angles/345199: angle 1 is complementary to angle 3. if angle 3 = y degrees, how large is angle 1.
1 solutions

Answer 246877 by solver91311(16868) About Me  on 2010-09-19 17:09:58 (Show Source):
You can put this solution on YOUR website!








John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Word_Problems_With_Coins/345177: Change $2.69 into the smallest numbe of coins consisting of quarters, dimes, nickels, and pennies.
Ahhhh! I can't find the answer, please help me!
1 solutions

Answer 246873 by solver91311(16868) About Me  on 2010-09-19 16:44:45 (Show Source):
You can put this solution on YOUR website!

Go back to 2nd grade when you learned integer division. That's the sort where you would get a quotient and a remainder.

Change the $2.69 into 269¢. Divide 269 by 25. The quotient is the number of quarters. Divide the remainder by 10. That quotient is the number of dimes. Divide the remainder by 5. That quotient is the number of nickels. The remainder is the number of pennies.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Probability-and-statistics/344107: randomly selecting 3 cans of regular and diet cola, but assume that there are 9 cans of regular cola and 7 cans of diet cola.
(1) What is the probability that 3 cans of regular cola are selected?

(2) What is the probability that 0 cans of regular cola are selected, i.e., 3 cans of diet cola are selected.?

(1) What is the probability that 2 cans of regular cola and 1 can of diet cola are selected?
1 solutions

Answer 246206 by solver91311(16868) About Me  on 2010-09-16 17:14:46 (Show Source):
You can put this solution on YOUR website!


I'll just give you the formula so that you can answer all three yourself:

The probability of successes in trials where is the probability of success on any given trial is given by:



Where is the number of combinations of things taken at a time and is calculated by

(1) , , and

(2) , , and

(3) , , and

Computational hints:







John

My calculator said it, I believe it, that settles it



Problems-with-consecutive-odd-even-integers/344116: if the sum of three consecutive integers is 69, what is the integer?
1 solutions

Answer 246201 by solver91311(16868) About Me  on 2010-09-16 17:04:10 (Show Source):
You can put this solution on YOUR website!


You set up a relationship between three integers and then you ask the identity of "the" integer. Which one? Did you simply not read what you wrote before you submitted the question?

Let represent the smallest integer. Then and are the next two consecutive integers.



Solve for to get the smallest integer.


John

My calculator said it, I believe it, that settles it



test/344112: Evaluate | -10d + a | A= -1. D= -14
1 solutions

Answer 246199 by solver91311(16868) About Me  on 2010-09-16 16:59:45 (Show Source):
You can put this solution on YOUR website!


Can't do it. You gave values for A and D, but your expression uses variables a and d. If A really does equal a and D really does equal d, then just substitute your values in place of the variables in the expression, then do the arithmetic.

Remember the definition of Absolute Value



John

My calculator said it, I believe it, that settles it



Travel_Word_Problems/344114: A man is walking 5 miles/hour North on a train traveling 100 miles/hour North. What is the net velocity if the man?
1 solutions

Answer 246196 by solver91311(16868) About Me  on 2010-09-16 16:56:07 (Show Source):
You can put this solution on YOUR website!


They are going in the same direction, so add their velocities.

John

My calculator said it, I believe it, that settles it



Linear-equations/344093: p=mt+b(y=mx+b)
i chose 15 a my population increase per year and the population of 2000 t =years from 2010
so far i have
p=15T+b
p=15t+2000
what do i do with the rest of the equation(y=mx+b)?
the assignment has the years of 0,1,2,3,6 which year do i use i am very confused.
1 solutions

Answer 246193 by solver91311(16868) About Me  on 2010-09-16 16:55:12 (Show Source):
You can put this solution on YOUR website!



Ignore the part. They are only trying to illustrate the slope-intercept form pattern follwed by your function definition.

And if you decided that 15 per year is the increase and your base population is 2000 in year 0, then your specific form of the function is correct.

The assignment gave you a set of input values, that is a set of values that, one at a time, need to be substituted for in your function. As you substitute each input value, perform the arithmetic to calculate the value of corresponding to that input value. Your answer should be another set whose elements have a one-to-one correspondence with the given set. Alternatively you could express your answer as a set of ordered pairs . Either way your answer set must have 5 elements to correspond to the 5 elements of the given set.

John

My calculator said it, I believe it, that settles it



Quadratic_Equations/344101: show each and every step please for (x-4)^2=25
1 solutions

Answer 246187 by solver91311(16868) About Me  on 2010-09-16 16:44:38 (Show Source):
You can put this solution on YOUR website!


Take the square root of both sides. Don't forget to consider both the positive and negative roots.



Hence:



or



Solve each of the two equations for .


John

My calculator said it, I believe it, that settles it



Angles/344095: Find the mesures of two complmentary angles, 1 solutions

Answer 246185 by
solver91311(16868) About Me  on 2010-09-16 16:40:58 (Show Source):
You can put this solution on YOUR website!


I don't know what a 'mesure' is or what 'complmentary' means. Now if you want the measure of two complementary angles then pick a value greater than zero but less than 90. Subtract that value from 90. The value you picked is one measure of a pair of complementary angles and the result of your subtraction problem is the other measure.

For instance, let's say that I picked as one angle, then is the other one.


John

My calculator said it, I believe it, that settles it



Miscellaneous_Word_Problems/344076: Heey, Can You Help Me Solve This Word Problem?(: Thank Youu.
Ace Rent A Car charges a flat fee of $20 and $0.20 a mile for their cars. Acme Rent A Car charges a flat fee of $38 and $0.10 a mile for their cars. Use the following model to find out after how many miles Ace Rent a Car becomes more expensive then Acme Rent a Car.
c=20+0.2m Ace
c=38+0.1m Acme
1 solutions

Answer 246181 by solver91311(16868) About Me  on 2010-09-16 16:21:56 (Show Source):
You can put this solution on YOUR website!


Let represent the number of miles traveled.

Then:



Represents the total cost in dollars of renting from Company #1 for miles.

Whereas:



Represents the total cost in dollars of renting from Company #2 for miles.

Clearly, for small values of , is less expensive. Substitute 1 mile for in each of the functions and see which is smaller, i.e. less expensive.

Also, for large values of , becomes less expensive at some point. Substitute 1000 for in each of the functions and see which is smaller, i.e. less expensive.

Somewhere between 1 mile and 1000 miles is a point where the cost of both becomes equal. This is called the break-even point. Mileage below the breakeven point makes less, above the breakeven point makes less.

The breakeven point is where the two costs are equal:




But we can replace each side of this equation with the expressions they are equal to:



Solve for .

John

My calculator said it, I believe it, that settles it




Rational-functions/344087: determine whether y varies directly with x. if so find the constant of variation.
y=4/9x
1 solutions

Answer 246178 by solver91311(16868) About Me  on 2010-09-16 16:17:50 (Show Source):
You can put this solution on YOUR website!


Impossible to tell from your rendering.



is direct variation.




is inverse variation. And your rendering could be interpreted either way. Next time you post, use parentheses to eliminate any ambiguities.

would be y = (4/9)x

Wheras:

would be y = 4/(9x)

The constant of proportionality is in either case.


John

My calculator said it, I believe it, that settles it



test/344084: Okay, if the upper bound of the graph is 37 , what is the interval?
1 solutions

Answer 246171 by solver91311(16868) About Me  on 2010-09-16 16:09:27 (Show Source):
You can put this solution on YOUR website!


Your question makes no sense. What graph? And how can you tell an interval only having one boundary? What part of "Write clearly! We are not mind readers, so be sure to ask a question that we can understand." do you not understand?

John

My calculator said it, I believe it, that settles it



test/344067: Hii. Working on algebra two word problems and it so frustraiting!
1)ace rent a car charges a flat fee of $15 and $0.24 a mile for their cars. Acme rent a car charges a flat fee of $29 and $0.14 a mile for their cars. Use the following model to find out after how many miles ace rent a car becomes more expensive then acme rent a car.
1 solutions

Answer 246167 by solver91311(16868) About Me  on 2010-09-16 16:06:08 (Show Source):
You can put this solution on YOUR website!


And I'll bet you can imagine just how frustrating it is for me to read your post when you misspell 'frustrating'. So depressing, discouraging, disheartening, and disconcerting. Ah well, perhaps someday you will grow up enough to have the courtesy to proofread your written communications before you send them.

Let represent the number of miles traveled.

Then:



Represents the total cost in dollars of renting from Company #1 for miles.

Whereas:



Represents the total cost in dollars of renting from Company #2 for miles.

Clearly, for small values of , is less expensive. Substitute 1 mile for in each of the functions and see which is smaller, i.e. less expensive.

Also, for large values of , becomes less expensive at some point. Substitute 1000 for in each of the functions and see which is smaller, i.e. less expensive.

Somewhere between 1 mile and 1000 miles is a point where the cost of both becomes equal. This is called the break-even point. Mileage below the breakeven point makes less, above the breakeven point makes less.

The breakeven point is where the two costs are equal:




But we can replace each side of this equation with the expressions they are equal to:



Solve for .

John

My calculator said it, I believe it, that settles it



Numbers_Word_Problems/344066: what 2 numbers(1-9) equal 18 when added together?
1 solutions

Answer 246155 by solver91311(16868) About Me  on 2010-09-16 15:43:50 (Show Source):
You can put this solution on YOUR website!


Hint: There is nothing that says they have to be two different numbers.


John

My calculator said it, I believe it, that settles it



Equations/344002: How do you graph this? Center (7,1), Graph contains the points (1,-7)
1 solutions

Answer 246108 by solver91311(16868) About Me  on 2010-09-16 13:17:52 (Show Source):
You can put this solution on YOUR website!


Plot the two points on a graph. Put the sharp point of your compass on the point labeled "Center" and put the pencil point of your compass on the other point. Draw your circle.

John

My calculator said it, I believe it, that settles it



Travel_Word_Problems/344013: two cars are traveling in the same direction on a road. the car that leads is traveling at 46 miles per hour. the other car is traveling at 70 miles per hour how many miles apart will they be 30 minutes before the faster car catches the slower car?
Please answer my pre algebra ?
1 solutions

Answer 246107 by solver91311(16868) About Me  on 2010-09-16 13:12:56 (Show Source):
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The difference in speed is 24 miles per hour. Since the faster car is going to catch up in 30 minutes or 1/2 hour, the faster car must be 1/2 times 24 miles or 12 miles behind.

John

My calculator said it, I believe it, that settles it



Probability-and-statistics/344011: Please Help!!
Air temperature drops approximately 5.5ºF for each 1,000-foot rise in altitude above Earth’s surface (up to 30,000 ft).
a. Write a formula that relates temperature t in degrees Fahrenheit at altitude h (in thousands of feet) and a ground temperature of 65ºF. State any restrictions on h.
b. Find the temperature at 11,000 ft above Earth’s surface.

1 solutions

Answer 246104 by solver91311(16868) About Me  on 2010-09-16 13:10:41 (Show Source):
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where represents height in 1000s of feet and , and where represents current ground level temperature.

For your problem

You can plug 11 into the function and solve part b yourself.

John

My calculator said it, I believe it, that settles it



test/344008: The numerator of a certain fraction is 3 less than the denominator. If the numerator is tripled and the denominator is increased by 7, the value of the resulting fraction is 3/2. What is the original fraction?
1 solutions

Answer 246101 by solver91311(16868) About Me  on 2010-09-16 13:01:34 (Show Source):
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Let represent the denominator of the original fraction. Then the original fraction must be . And the modified fraction must be . So we can write:



Divide both sides by 3, cross-multiply, collect like terms, and solve for .

John

My calculator said it, I believe it, that settles it



Inequalities/344006: Please help me solve this compound inequality!!
-2<2x-4<4
(note the first < is underlined in the origional problem.)
1 solutions

Answer 246098 by solver91311(16868) About Me  on 2010-09-16 12:55:50 (Show Source):
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Add 4 to all three expressions:



Multiply by



Interval notation: [1,4)

John

My calculator said it, I believe it, that settles it



Geometry_proofs/343785: If PR is the diameter of the circle, explain how you
would convince someone that quadrilateral PQRS has at
least two right angles.
Please help me I am struggiling with this geometry:(
1 solutions

Answer 245994 by solver91311(16868) About Me  on 2010-09-16 00:26:00 (Show Source):
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You did not provide anywhere near enough information to help with this. Describe the figure in detail using specific and standard terminology.

John

My calculator said it, I believe it, that settles it



Geometry_proofs/343833: i need help on proofs in geometry
1 solutions

Answer 245993 by solver91311(16868) About Me  on 2010-09-16 00:18:58 (Show Source):
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I'll work with you for $20/hr.

John

My calculator said it, I believe it, that settles it



expressions/343855: The expression 500t can be used to find the distance traveled by a DC-10 aircraft. the fariable t represents time in hours. How far can a DC-10 travel in 4 hours?
1 solutions

Answer 245990 by solver91311(16868) About Me  on 2010-09-16 00:16:19 (Show Source):
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Substitute 4 in place of the t and do the arithmetic.

John

My calculator said it, I believe it, that settles it



expressions/343822: my MOM AND SOME OTHER PEOPLE HAVE BEEN TRYING TO FIGURE THIS PROBLEM OUT WE CAN NOT COME UP WITH THE ANSWER.
tHE INSTUCTIONS STATE INSERT PARENTHESES SO THAT THE EQUAION IS CORRET.
THE EQUATION IS 8+4*2+7/3=20. WE HAVE TRIED FOUR DIFFERENT WAYS AND NOTHING COMES OUT CORRECT,
MY EMAIL ADDRESS nicklas28570@yahoo.com
Thank you for you help.
1 solutions

Answer 245955 by solver91311(16868) About Me  on 2010-09-15 22:41:06 (Show Source):
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First things first. Typing in all CAPS is the text communications equivalent of shouting. It is both annoying and rude. Let's all use our inside voices children.

Second thing. Never, never, NEVER (yes I shouted on purpose) give out your e-mail address in a public forum -- especially if you are a minor.

Now for your math problem:

Notice that the answer (the RHS of your equation) is an integer, and that you are going to have to divide something by 3. Now if you divide just 7 by 3, you get a non-integer that will have to be combined with other integers. So just the 7 as the numerator over the 3 won't work. But 2 + 7 is 9 and that is evenly divisible by 3. But so is 4 times 2 is 8 plus 7 is 15. But 15 divided by 3 is 5 plus 8 is only 13. So let's go back to the 2 + 7 as the numerator. That is 9 divided by 3 is 3. That is really all you have to do because order of operations says multiplication first. 3 times 4 is 12 plus 8 is 20




John

My calculator said it, I believe it, that settles it