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stanbon answered: 57881 problems
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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239 , 57240..57269 , 57270..57299 , 57300..57329 , 57330..57359 , 57360..57389 , 57390..57419 , 57420..57449 , 57450..57479 , 57480..57509 , 57510..57539 , 57540..57569 , 57570..57599 , 57600..57629 , 57630..57659 , 57660..57689 , 57690..57719 , 57720..57749 , 57750..57779 , 57780..57809 , 57810..57839 , 57840..57869 , 57870..57899, >>Next

Percentage-and-ratio-word-problems/96776: Can you tell me what the median is for 1,4,9,15,25,36?
1 solutions

Answer 70410 by stanbon(57954) About Me  on 2007-09-07 17:43:52 (Show Source):
You can put this solution on YOUR website!
Can you tell me what the median is for 1,4,9,15,25,36?
-------------
The numbers are in order.
Since there are an even number of elements
pick the middle two elements and find their
average:
(9+15)/2 = 12
12 is the median
Cheers,
Stan H.


absolute-value/96780: 4 oranges + 5 apples = $3.56
3 oranges + 4 apples = $2.76
What is the cost of (one apple)?
What is the cost of (one orange)?
1 solutions

Answer 70409 by stanbon(57954) About Me  on 2007-09-07 17:39:33 (Show Source):
You can put this solution on YOUR website!
1st: 4 oranges + 5 apples = $3.56
2nd: 3 oranges + 4 apples = $2.76
------------
Multiply 1st by 3 and 2nd by 4 to get:
3rd: 12 O + 15 A = 10.68
4th: 12 O + 16 A = 11.04
---------------
Subtract 3rd from 4th to get:
A = 0.36 (36 cents per apple)
------------------------------
Substitute into 1st (or 2nd) to solve for "O".
4 O + 5*0.36 = 3.56
4 O + 1.8 = 3.56
4 O = 1.76
O = 0.44 (44 cents per orange)
----------------
Cheers,
Stan H.


Polynomials-and-rational-expressions/96762: In 1975 the popultation of the earth was approximately 4 billion and dobuling every 35 years. The formula for the population P in Year Y for this doubling rate is P(in billions) = 4x 2(y-1975)/35. What will the population be in 2025 if tis growth rate continues?
1 solutions

Answer 70407 by stanbon(57954) About Me  on 2007-09-07 16:32:16 (Show Source):
You can put this solution on YOUR website!
P(year) = 4x 2^[(y-1975)/35]: P in billions.
What will the population be in 2025 if tis growth rate continues?
---------
P(2025)= 4*2^[(2025-1975)/35]
= 4^2^(50/35)
= 4*2^(10/7)
= 4*2^(1.42857...)
=4*2.6918...
=10.7672... billion
=================
Cheers,
Stan H.


Rational-functions/96748: This question is from textbook
Directions:
Use quantifiers to make each of the following true, where x is a natural number
1. x + 8=11
I don't have a clue of what I am suppose to do...please help
1 solutions

Answer 70405 by stanbon(57954) About Me  on 2007-09-07 16:25:51 (Show Source):
You can put this solution on YOUR website!
x + 8=11
Subtract 8 from each side to get:
x = 3
============
Cheers,
Stan H.


Equations/96772: How can I Find the solutions to the equation: x− 5/x = 4

1 solutions

Answer 70404 by stanbon(57954) About Me  on 2007-09-07 16:21:12 (Show Source):
You can put this solution on YOUR website!
Find the solutions to the equation: x− 5/x = 4
Multiply thru by x to get:
x^2-5 = 4x
Rearrange
x^2-4x-5=0
Factor
(x-5)(x+1)=0
x=5 or x=-1
================
Cheers,
Stan H.


Equations/96770: How do I prove/disprove this?
If points A, B, and C lie on a coordinate line and points A and B
have coordinates 15 and 7 respectively, then which of the possible
coordinates for point C satisfy(ies) d(A, C) < d(B, C)?
1 solutions

Answer 70403 by stanbon(57954) About Me  on 2007-09-07 16:18:15 (Show Source):
You can put this solution on YOUR website!
If points A, B, and C lie on a coordinate line and points A and B
have coordinates 15 and 7 respectively, then which of the possible
coordinates for point C satisfy(ies) d(A, C) < d(B, C)?
----------------------
Draw a number line and mark two points as A=15, B=7
----
The midpoint between A and B is (15+7)/2 = 11
For d(A, C) < d(B, C) C must be close to A then to B
Darken the line between A and the midpoint.
C must be in that darkened piece of the line.
11 ===============
Cheers,
Stan H.


Polynomials-and-rational-expressions/96769: How do I express this as a simplified rational number 10/3-5/2
1 solutions

Answer 70400 by stanbon(57954) About Me  on 2007-09-07 16:05:01 (Show Source):
You can put this solution on YOUR website!
express this as a simplified rational number 10/3-5/2
--------------
To add or subtract fractions they need to have a common denominator.
----------------
On your problem the least common denominator (lcm) is 2*3 or 6
-------------
Rewrite each of your fractions with the lcm as its denominator:
(2*10/lcm) - (3*5/lcm)
-----------
Combine the numerators over the lcm:
[20-15]/lcm
Simplify
5/6
===========
Cheers,
Stan H.


Graphs/96741: I have a word doc. that contains my math ques. The doc. has common differnece tables to complete. How do i forward a word doc. for help?
1 solutions

Answer 70381 by stanbon(57954) About Me  on 2007-09-07 13:42:00 (Show Source):
You can put this solution on YOUR website!
Post one or two of your problems. If someone helps you with
them thru this site send them an email describing your problems
and asking them if they will have a look at them via email.
Cheers,
Stan H.


Rational-functions/96758: Which of the following relations define y as a function of x? Explain why or why not for each.
A) y = 3x^2 + 4
B) (2,6),(3,8),(2,-2),(-1,6)
C) y = |x|
D) x = y^2
1 solutions

Answer 70377 by stanbon(57954) About Me  on 2007-09-07 13:38:21 (Show Source):
You can put this solution on YOUR website!
Which of the following relations define y as a function of x? Explain why or why not for each.
A) y = 3x^2 + 4
y is a function of x because for each x value there is one y-value.
---------------
B) (2,6),(3,8),(2,-2),(-1,6)
y is not a function of x because when x=2 there are two different values for y.
---------------
C) y = |x|
y is a function of x.
---------------
D) x = y^2
y is not a function of x.
=====================
Cheers,
Stan H.


Reduction-of-unit-multipliers/96669: I am having trouble with chain unit conversions. Here is the question a DVD spins as fas as 1400 rpm. If the DVD is 4.87 inches in diameter how fast does the outer edge travel at maximal speed expressed in miles per hour, furlongs and per fortnight. 8 furlongs =1mile 14 days =1 fornight.
do i convert the 4.87 inches to pi then find the miles per hour?
could you show the chain unit conversion? I am finding miles per hour right?
1 solutions

Answer 70341 by stanbon(57954) About Me  on 2007-09-06 22:58:37 (Show Source):
You can put this solution on YOUR website!
a DVD spins as fas as 1400 rpm. If the DVD is 4.87 inches in diameter how fast does the outer edge travel at maximal speed expressed in miles per hour?
---------------------
A point on the edge of the DVD will travel
1400*pi*4.87(in/min)(60min/1hr)(1 mi/12*5280 in)
= (1285162.723/63360)(mph)
= 20.28350257 mph
---------------------------
furlongs and per fortnight. 8 furlongs =1mile 14 days =1 fornight.
--------------------------
20.28350257 (mi/hr)(8 fur/1 mi)(24 hr/1 day)(14 days/1 fortnight)
= (20.28350257*8*24*14)(furlongs/fortnight)
= 54522.05492(furlongs/fortnight)
===============
Cheers,
Stan H.


decimal-numbers/96629: the circumference of the great wheel was twelve thousand and forty-one thousandths inches. The circumference of the lesser wheel was only one thousand, twenty-one and two hundred-thousandths inches. How much larger was the great wheel?
1 solutions

Answer 70321 by stanbon(57954) About Me  on 2007-09-06 20:20:02 (Show Source):
You can put this solution on YOUR website!
the circumference of the great wheel was twelve thousand and forty-one thousandths inches.
The circumference of the lesser wheel was only one thousand, twenty-one and two hundred-thousandths inches.
How much larger was the great wheel?
12,000.04100 - 1021.00002 = 10979.04098
=================
Cheers,
Stan H.


Systems-of-equations/96596: im not sure where this would go under topics.
but.
we need to factor a problem.
i know how to factor the problem.
but i don't know what to numbers to use.
the numbers have to multiply together to get postive 84
and add together to get negitive 31
thanks.
C:
1 solutions

Answer 70318 by stanbon(57954) About Me  on 2007-09-06 20:11:13 (Show Source):
You can put this solution on YOUR website!
-3 and -28
Note: The numbers cannot be positive
Cheers,
Stan H.


Geometric_formulas/96612: I need help in finding the counter example for this statement: If the sum of two integers is even, then both of the integers are even.
A. 4.5,5.5
B. 5,6
c. 5,7
d. 6,7
1 solutions

Answer 70316 by stanbon(57954) About Me  on 2007-09-06 20:05:59 (Show Source):
You can put this solution on YOUR website!
5+7=12 which is even though 5 and 7 are both odd.
Cheers,
Satn H.


Miscellaneous_Word_Problems/96539: This question is from textbook algebra 2
Word problem:You are creating a window display at a toy store using wooden blocks. The display involves stacking blocks in triangular forms. You begin the display with 1 block, which is your first "triangle," and then stack 3 blocks, two on the bottom and one on the top, to get the next triangle. YOu create the next three triangles by stacking 6 blocks, then 10 blocks, and then 15 blocks. HOw many blocks will you need for the ninth triangle.
I need to make an equation to figure out how many blocks are needed to make the ninth triganle. I know the answer is 45 blocks, but I don't understand how to create the equation with the appropriate variables.
I made an input, output chart to try and figure out the correct equation, but i just couldn't figure it out.

This is due by tommorrow. I will continue to work on it until, i get a response from you.
Thanks!
1 solutions

Answer 70304 by stanbon(57954) About Me  on 2007-09-06 17:50:03 (Show Source):
You can put this solution on YOUR website!
Word problem:You are creating a window display at a toy store using wooden blocks. The display involves stacking blocks in triangular forms. You begin the display with 1 block, which is your first "triangle," and then stack 3 blocks, two on the bottom and one on the top, to get the next triangle. YOu create the next three triangles by stacking 6 blocks, then 10 blocks, and then 15 blocks. HOw many blocks will you need for the ninth triangle.
I need to make an equation to figure out how many blocks are needed to make the ninth triganle. I know the answer is 45 blocks, but I don't understand how to create the equation with the appropriate variables.
I made an input, output chart to try and figure out the correct equation, but i just couldn't figure it out.
=================
f(x)= (x^2+x)/2
=================
Cheers,
Stan H.



Polynomials-and-rational-expressions/96541: This question is from textbook Beginning Algebra
I am having difficulty with this problem. Here is what I did but the answer is not correct and I do not know what I am doing wrong.
Simplify

2/x - 1 + 1 / 1 - 3/x - 1
LCD = x - 1
2/x - 1(x - 1)+ 1(x - 1) = 2 + 1(x - 1)
1(x - 1) - 3(x - 1)(x - 1)= 1(x - 1) - 3
2 + 1(x - 1) / 1(x - 1) - 3
2 + x - 1 / x - 1 - 3
= -2/3
1 solutions

Answer 70302 by stanbon(57954) About Me  on 2007-09-06 17:41:37 (Show Source):
You can put this solution on YOUR website!
2/(x - 1) + 1 / 1 - 3/(x - 1)
You do not have an equal sign in your posting.
Cheers,
Stan H.


real-numbers/96564: We have to classificate each number as either a natural number, whole number, integers,rational number, terminating decimal or irrational number.
The ones I have trouble in are the ones that are square roots. For example what would the square root of 49 be? am I classificating the number 7, or am I supposed to classificate it as a square root? I'm so confused
Thank you for your time
1 solutions

Answer 70301 by stanbon(57954) About Me  on 2007-09-06 17:37:48 (Show Source):
You can put this solution on YOUR website!
what would the square root of 49 be? am I classificating the number 7, or am I supposed to classificate it as a square root?
sqrt(4) is rational
sqrt(5) is irrational
sqrt(6) is irrational
sqrt(7) is irrational
sqrt(8) is irrational
sqrt(9) is rational
...
sqrt(49) is rational
Cheers,
Stan H.


Equations/96542: Can someone tell me if there are "like terms" in this equation?
12rt - 10r + 18t
Thanks
1 solutions

Answer 70300 by stanbon(57954) About Me  on 2007-09-06 17:34:22 (Show Source):
You can put this solution on YOUR website!
are "like terms" in this equation?
12rt - 10r + 18t
----------------
There are none.
Cheers,
Stan H.


Signed-numbers/96544: the problem is:
At Indianapolis Motor Speedway, one lap is 2.5 miles in length. the
average speed of an Indy racing car is 190 miles per hour.
Find the length of one lap in yards. ( show work )
and then it says:
How many seconds would it take to
complete one lap.
I don't get how to set up the equation to solve it help!
1 solutions

Answer 70299 by stanbon(57954) About Me  on 2007-09-06 17:32:15 (Show Source):
You can put this solution on YOUR website!
At Indianapolis Motor Speedway, one lap is 2.5 miles in length. the
average speed of an Indy racing car is 190 miles per hour.
Find the length of one lap in yards. ( show work )
One mile is 1760 yards
One lap = 2.5*1760 = 4400 yards
-------------------------------
and then it says:
How many seconds would it take to
complete one lap.
[2.5 miles]/[190 miles/hour]
= [2.5/190] hours
= [2.5/190}(hours)(3600 seconds/1 hour)
= [2.5*3600/190] seconds
= 47.368 seconds
=================
Cheers,
Stan H.


Equations/96556: Which of the numbers 9, 10, or 11 is the solution of 83 = 93 - x?

1 solutions

Answer 70294 by stanbon(57954) About Me  on 2007-09-06 17:24:40 (Show Source):
You can put this solution on YOUR website!
Which of the numbers 9, 10, or 11 is the solution of 83 = 93 - x?
----------
Replace the x by 9 then by 10 then by 11 to see which
number makes the equation true.
10 is the answer.
Cheers,
Stan H.


Equations/96554: Computation
(-2)(-7)(11) =
1 solutions

Answer 70293 by stanbon(57954) About Me  on 2007-09-06 17:22:16 (Show Source):
You can put this solution on YOUR website!
(-2)(-7)(11) = 14*11 = 154
============
Cheers,
Stan H.


Equations/96553: Computation:
5 1/4 - 2 2/3
1 solutions

Answer 70292 by stanbon(57954) About Me  on 2007-09-06 17:21:00 (Show Source):
You can put this solution on YOUR website!
5 1/4 - 2 2/3
=21/4 - 8/3
=(63 - 32)/12
=41/12
------------------
Cheers,
Stan H.


Numeric_Fractions/96551: Mario has 55 CDs. Write an expression to represent the total number of CDs he will have after 18 months if he buys x CDsper month?
1 solutions

Answer 70291 by stanbon(57954) About Me  on 2007-09-06 17:18:37 (Show Source):
You can put this solution on YOUR website!
Mario has 55 CDs. Write an expression to represent the total number of CDs he will have after 18 months if he buys x CDs per month?
----------
# he will have = 55 + 18x
Cheers,
Stan H.


Finance/96545: This question is from textbook
Hi. I don't get this question: $1000 is deposited in a savings account that is compounded annually at 6%. The balance, A, in the account after t years is
A = 1000%281%2B.06%29%5Et. Find the balance after 1 year, 10 years, and 20 years.
1 solutions

Answer 70290 by stanbon(57954) About Me  on 2007-09-06 17:16:51 (Show Source):
You can put this solution on YOUR website!
$1000 is deposited in a savings account that is compounded annually at 6%. The balance, A, in the account after t years is
A(t) = 1000(1+(.06))^(t)
Find the balance after 1 year, 10 years, and 20 years.
---------
One year:
A(1)= 1000(1+0.06/1)^(1*1)
A(1)=1000*1.06
A(1)= $1060.00
--------------------
Ten years:
A(10)= 1000(1.06)^10 = 1000*1.79085= $1790.85
-----------------
A(20) = 1000(1.06)^20 = 1000*3.20714 = $3207.14
======================
Cheers,
Stan H.


Percentage-and-ratio-word-problems/96548: Heather recieved grades of 80, 75, and 86 on three algebra tests. What must her grades be on the next test if her average for the four tests is to be at least 82..
I need help setting this up.. thanks
1 solutions

Answer 70289 by stanbon(57954) About Me  on 2007-09-06 17:08:18 (Show Source):
You can put this solution on YOUR website!
Heather recieved grades of 80, 75, and 86 on three algebra tests. What must her grades be on the next test if her average for the four tests is to be at least 82..
----------------
EQUATION:
Let the grade on the fourth test be "x".
(80+75+86+x)/4 >= 82
241+x >= 4*82
241+x >= 328
x >= 87
==============
Cheers,
Stan H.


Percentage-and-ratio-word-problems/96549: The sum of three consecutive even integers is less than or equal to 42. Find the largest se of these numbers.
1 solutions

Answer 70288 by stanbon(57954) About Me  on 2007-09-06 17:04:35 (Show Source):
You can put this solution on YOUR website!
The sum of three consecutive even integers is less than or equal to 42. Find the largest se of these numbers.
EQUATION:
x + (x+1) + (x+2) = 42
3x+3 = 42
3x = 39
x = 13
x+1=14
x+2=15
================
Cheers,
Stan H.


absolute-value/96546: please help me with this problem i forgot how to do this over the summer.
|2n-7|< with this underneath_0
1 solutions

Answer 70287 by stanbon(57954) About Me  on 2007-09-06 17:02:29 (Show Source):
You can put this solution on YOUR website!
|2n-7| <= 0
---------------
That is true when 2n-7<=0
2n<=7
n<=7/2
================
Cheers,
Stan H.


Percentage-and-ratio-word-problems/96525: Could you please help me solve the word problem below. I would really appriciate it:
Sam must have an average of 70 or more in his summer course to
obtain a grade of C. His first three test grades were 75, 63, and 68. Write an inequalityrepresenting the score that Sam must get on the last test to get a C grade.
1 solutions

Answer 70279 by stanbon(57954) About Me  on 2007-09-06 15:22:34 (Show Source):
You can put this solution on YOUR website!
Sam must have an average of 70 or more in his summer course to
obtain a grade of C. His first three test grades were 75, 63, and 68. Write an inequality representing the score that Sam must get on the last test to get a C grade.
----------
(75+63+68+x)/4 >= 70
Comment: The left side is the average of the four scores.
x is one of the scores; it is his score on the last test.
---------------
Cheers,
Stan H.


Linear-equations/96513: write the equation in standardform of the vertical line passing through -5,6 on the xy plane
1 solutions

Answer 70278 by stanbon(57954) About Me  on 2007-09-06 15:19:26 (Show Source):
You can put this solution on YOUR website!
write the equation in standard form of the vertical line passing through -5,6 on the xy plane
------------------
x = -5
Standard form is
x+0y=-5
OR in some texts:
x+0y+5 =0
================
Cheers,
Stan H.


Expressions-with-variables/96514: y=mx+b solve for m
1 solutions

Answer 70277 by stanbon(57954) About Me  on 2007-09-06 15:17:20 (Show Source):
You can put this solution on YOUR website!
y=mx+b solve for m
y-b = mx
m = (y-b)/x
--------------------
Cheers,
Stan H.


real-numbers/96519: Is -23 a rational or irrational number?

1 solutions

Answer 70276 by stanbon(57954) About Me  on 2007-09-06 15:15:46 (Show Source):
You can put this solution on YOUR website!
-23, 15.77, and 1/6 are all rational numbers
Cheers,
Stan H.


Mixture_Word_Problems/96515: How much water (ounces)must be evaporated from 16 ounces of a 2% salt solution to make a 4% salt solution?

1 solutions

Answer 70275 by stanbon(57954) About Me  on 2007-09-06 15:13:45 (Show Source):
You can put this solution on YOUR website!
How much water (ounces)must be evaporated from 16 ounces of a 2% salt solution to make a 4% salt solution?
---------------------
2% solution DATA:
Amt. = 16 ounces ; salt = 0.02*16 = 0.32 ounces
-------------------------
Water DATA:
Amt. = x ounces ; salt = 0
---------------------------
Resulting Mixture DATA
Amt. = 16-x ; salt = 0.04(16-x) = 0.64 - 0.04x ounces
--------------------
EQUATION:
salt - salt = salt
0.32 - 0 = 0.64 - 0.04x
0.32 = 0.04x
x = 8 ounces of water must be evaporated
=================
Cheers,
Stan H.