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Recent problems solved by 'stanbon'
stanbon answered: 57239 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239, >>Next
Money_Word_Problems/379977: If I put $10,000 in the bank.. and I'll get .15% profit each year. How much profit will I get, What will be my profit after a year.
1 solutions
Answer 269725 by stanbon(57307)   on 2010-12-02 20:04:36 (Show Source):
You can put this solution on YOUR website!If I put $10,000 in the bank.. and I'll get .15% profit each year. How much profit will I get, What will be my profit after a year.
--------------
Is that 0.15% or is it 15%?
----
If it's 15% the answer is 0.15(10,000) = $1500
=================================================
Cheers,
Stan H.
|
Evaluation_Word_Problems/379973: y=5x-8
5y=2x+6
i dont understand how to substitute.. i think its solve for y.. then substitute it in the second equation.... right?
1 solutions
Answer 269718 by stanbon(57307) on 2010-12-02 19:55:59 (Show Source):
You can put this solution on YOUR website! y=5x-8
5y=2x+6
i dont understand how to substitute.. i think its solve for y.. then substitute it in the second equation.... right?
------------------
RIGHT.
Since y = 5x-8, substitute for y in the 2nd equation
and solve for "x":
---
5(5x-8) = 2x+6
25x-40 = 2x+6
23x = 46
x = 2
----
Since y = 5x-8, y = 5*2-8 = 2
====================================
Cheers,
Stan H.
====================================
|
Quadratic_Equations/379966: I have to find the zeros or roots of each function or equation by factoring & graphing.
g(x)= 2x^2 - 25x + 12
2(x ) (x )
I know that the multiples of 12 should add up to -25 but there are none so I do not understand how to find the zeros by factoring
1 solutions
Answer 269712 by stanbon(57307) on 2010-12-02 19:51:24 (Show Source):
You can put this solution on YOUR website!Find the zeros or roots of each function or equation by factoring & graphing.
g(x)= 2x^2 - 25x + 12
---
Think of two numbers whose product is 2*12 = 24
and whose sum is -25.
------
The numbers are -24 and -1
----
Rewrite the problem:
2x^2 -24x-x +12 = 0
---
Factor the 1st two and the last two terms separately:
2x(x-12)-(x-12) = 0
Factor again:
(x-12)(2x-1) = 0
----
x = 12 or x = 1/2
==========================
Cheers,
Stan H.
|
Functions/379959: how you find the function rule in a problem and how can you tell if it is independent or a dependent variable
1 solutions
Answer 269707 by stanbon(57307) on 2010-12-02 19:45:40 (Show Source):
You can put this solution on YOUR website!how you find the function rule in a problem and how can you tell if it is independent or a dependent variable
-------
If the rule of the relation generates one y value for each x value,
the relation is called a function.
----
The variable value you choose to insert into the rule is the independent
variable. The variable value generated by the rule is the dependent
variable.
----------------
Cheers,
Stan H.
|
Probability-and-statistics/379773: Please explain what is wrong and why.
Using data from Boston, Massachusetts, a test of independence is run on the claim that ice cream sales per month and the number of car wrecks per month are independent. The claim is rejected.
Using number of car wrecks as the x variable and ice cream sales as the y variable, an r value of r=0.923 is then computed and shown to exceed the critical value for this data. The data is double checked and verified. This shows that car wrecks cause ice cream sales.
1 solutions
Answer 269644 by stanbon(57307) on 2010-12-02 15:31:40 (Show Source):
You can put this solution on YOUR website!That r value does not indicate causality; it indicates correlation.
---
As one variable increases the other tends to increase but that does
not mean the change in one is CAUSING a change in the other.
===============
Cheers,
Stan H.
|
Polynomials-and-rational-expressions/379780: can someone please help me with my last two problems i can not figure them out and i got 15 mins until i have to leave for class
cubed sqrt 24x^5y^7z^9
and
cubed sqrt 250x^12y^27z^45
your help would be greatly appreciated
1 solutions
Answer 269643 by stanbon(57307) on 2010-12-02 15:28:19 (Show Source):
You can put this solution on YOUR website!cbrt [24x^5y^7z^9]
= 2xy^2z^3*cbrt[3x^2y]
and
cbrt[250x^12y^27z^45]
= 5x^4y^9z^15*cbrt[2]
=========================
Cheers,
Stan H.
|
Probability-and-statistics/379774: Please explain what is wrong and why.
If a correlation coefficient of r = 0.642 was found between two variables in a sample of paired data that were measured in feet, the value of r would change by a factor of twelve if the data were converted to inches and r was computed again.
1 solutions
Answer 269641 by stanbon(57307) on 2010-12-02 15:24:29 (Show Source):
You can put this solution on YOUR website!No; r wouldn't change at all. R does not depend
on the units of the data: it is a measure of the
correlation of the data.
Cheers,
Stan H.
|
Percentage-and-ratio-word-problems/379776: Hello there, just a small question for my homework. Here it is: Why does it make sense to round a mixed number to the nearest whole number before adding or subtracting? Could you round to the nearest 1/2 instead? That was the question, PLEASE HELPPP! Thank you , Melanie
1 solutions
Answer 269639 by stanbon(57307) on 2010-12-02 15:21:24 (Show Source):
You can put this solution on YOUR website! Hello there, just a small question for my homework. Here it is: Why does it make sense to round a mixed number to the nearest whole number before adding or subtracting? Could you round to the nearest 1/2 instead? That was the question,
---
Sure; you could round to anything you care to round to.
Most cases involve rounding the units place, but you could
round to the tens, or the hundred, or the thousands, or to
any place you care. Rounding to the 1/2 is a bit strange
but it could be done.
Cheers,
Stan H.
|
logarithm/379640: Use the laws of logs to solve for x:
log(x+2)- log(x-5.2)=1
1 solutions
Answer 269568 by stanbon(57307) on 2010-12-02 10:51:52 (Show Source):
You can put this solution on YOUR website!Use the laws of logs to solve for x:
log(x+2)- log(x-5.2)=1
----
log[(x+2)/(x-5.2)] = 1
---
[(x+2)/(x-5.2)] = 10
----
x+2 = 10x-52
9x = 54
x = 6
=======
Cheers,
Stan H.
=======
|
Miscellaneous_Word_Problems/379628: Find the 100th term : 3 , 7 , 17 , 23 , 31....
I have done problems like this before but I cannot seem to find the pattern of these numbers in order to find the 100th term..I appreciate the help.
1 solutions
Answer 269561 by stanbon(57307) on 2010-12-02 10:40:04 (Show Source):
You can put this solution on YOUR website!Find the 100th term : 3 , 7 , 17 , 23 , 31....
--------------------------
Linear and Quadratic correlation is not strong.
Cubic correlation is strong (r = 0.9993031...)
---
The cubic is f(x) = (1/3)x^3+3.2857x^2-2.3801+2
----
Then f(100) = 365954
===============
Do with that what you wish.
Cheers,
Stan H.
|
Graphs/379618: I totally forgot how to do this type of problem.
Graph the solution to the inequality on the number line.
[x-2]less than 8
1 solutions
Answer 269556 by stanbon(57307) on 2010-12-02 10:21:20 (Show Source):
You can put this solution on YOUR website!Graph the solution to the inequality on the number line.
[x-2]less than 8
------
-8 < x-2 < 8
-6 < x < 10
Graph the boundary values, x= -6 and 10
as open circles at x = -6 and x = 10.
---
Draw a solid line segment from the left
boundary to the right boundary.
---
That is the graph.
Cheers,
Stan H.
|
Inequalities/379621:
14. Find the slope of the line y - 9 = 0.
A.
undefined
B.
-1/9
C.
0
D.
9
1 solutions
Answer 269553 by stanbon(57307) on 2010-12-02 10:10:51 (Show Source):
You can put this solution on YOUR website!14. Find the slope of the line y - 9 = 0.
y = 9
follows the form y = mx + b
In that form m = 0
---
Ans: m = 0
====================
Cheers,
Stan H.
====================
A.
undefined
----
B.
-1/9
----
C.
0
----
D.
9
----
Cheers,
Stan H.
================
|
Systems-of-equations/379418: Determine whether each relation is a function.
y=3x+2y
1 solutions
Answer 269359 by stanbon(57307) on 2010-12-01 21:15:54 (Show Source):
You can put this solution on YOUR website!Determine whether each relation is a function.
y=3x+2y
------------
Subtract y from both sides to get:
0 = 3x+y
---
subtract 3x from both sides to get:
y = -3x
---------------
It is a function.
======================
cheers,
stan H.
|
Numeric_Fractions/379412: Your cap size is based on the circumference of your head (in inches). For a certain range of head circumferences c, cap size s can be modeled by the following equation:
s= c-1/3
If you wear a size 7 cap, what is your head circumference
1 solutions
Answer 269357 by stanbon(57307) on 2010-12-01 21:10:25 (Show Source):
You can put this solution on YOUR website!Your cap size is based on the circumference of your head (in inches). For a certain range of head circumferences c, cap size s can be modeled by the following equation:
s= (c-1)/3
If you wear a size 7 cap, what is your head circumference
------------------
7 = (c-1)/3
c-1 = 21
circumference = 22 inches
-----------------------------
cheers,
Stan H.
|
Linear-systems/379405: if a caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served and you know that the cos will be for 100 students will be $750 and the cost for 150 students will be $1050,what would the caterer's fixed cost and the cost per student be?(using linear equations)
1 solutions
Answer 269355 by stanbon(57307) on 2010-12-01 21:07:30 (Show Source):
You can put this solution on YOUR website!if a caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served and you know that the cost will be for 100 students will be $750 and the cost for 150 students will be $1050,what would the caterer's fixed cost and the cost per student be?(using linear equations)
------
You have two points relating # of students and cost
(100,750) and (150,1050)
---
slope = (1050-750)/(150-100) = 300/50 = 6
---
Form: c = mx + b
750 = 6*100 + b
b = 150
----
Cost(x) = 6x + 150
---
Cost per student = $6
==========================
Cheers,
Stan H.
|
Rate-of-work-word-problems/379402: Sara lives 7 miles away from work. She rides her ATV at a speed of 18 miles per hour. If she leaves work at 4:30 pm, wat time will she arrive home?
1 solutions
Answer 269353 by stanbon(57307) on 2010-12-01 20:59:01 (Show Source):
You can put this solution on YOUR website!Sara lives 7 miles away from work. She rides her ATV at a speed of 18 miles per hour. If she leaves work at 4:30 pm, what time will she arrive home?
-----------------------
time = distance/rate
---
time = 7 miles/18 mph = (7/18)hr = (7/18)60 min = 23 1/3 minutes
----
Home arrival time = 4:30 + 23 1/3 min = 4:53 1/3 pm
==============================
Cheers,
Stan H/
|
Probability-and-statistics/379376: An organization raises a money by selling 3000 raffle tickets. Three prizes are winning 1500, 500, 250.
1. What is a 'fair price' to pay for a ticket?
2. If the organization charges the fair price. What is the profit made?
1 solutions
Answer 269352 by stanbon(57307) on 2010-12-01 20:55:01 (Show Source):
You can put this solution on YOUR website!An organization raises a money by selling 3000 raffle tickets. Three prizes are winning 1500, 500, 250.
1. What is a 'fair price' to pay for a ticket?
Let "x" be the price per ticket.
If the game is "fair", expected value is zero.
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Expected value = (1/3000)(1500 + 500 + 250)-(2997/3000)x = 0
2250/3000 = (2997/3000)x
x = 0.75
x = 75 cents
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You should pay 75 cents to play the game.
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2. If the organization charges the fair price. What is the profit made?
Nothing
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Cheers,
Stan H.
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Travel_Word_Problems/379350: Going 4 mph, for 50 miles, how many hours do you travel? I am not sure whether I should multiply or divide. I thought 4 miles= 1 hour so 2 miles = 30 minutes and 8 miles = 2 hours so 10 miles = 1 hour and 30 minutes times 5 so 50 miles is 1 hour and 15 minutes.Am I correct? If not, please explain.
1 solutions
Answer 269334 by stanbon(57307) on 2010-12-01 20:14:52 (Show Source):
You can put this solution on YOUR website!Going 4 mph, for 50 miles, how many hours do you travel?
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time = distance/rate
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time = 50 miles/[4 miles/hr]
time = (50/4) hrs
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time = 12.5 hrs
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Cheers,
Stan H.
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Functions/379329: {(x, y): (absolute value sign)x (absolute value sign) + ( abs value) y (abs value) = 1} what is the domain of this relation and is it a function?
1 solutions
Answer 269331 by stanbon(57307) on 2010-12-01 20:09:49 (Show Source):
You can put this solution on YOUR website!{(x, y): (absolute value sign)x (absolute value sign) + ( abs value) y (abs value) = 1} what is the domain of this relation and is it a function?
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|x|+|y| = 1
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Domain?
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|x| = 1-|y|
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|y| is always >= 0
So |x| <= 1
So -1 <= x <=1 is the domain.
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Range?
The same arguments as above apply to |y|
So -1 <= y <= 1 is the range
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cheers,
Stan H.
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Equations/379327: One number is two more than a second number. Twice the first is 4 less than 3 times the second. Find the numbers.
1 solutions
Answer 269323 by stanbon(57307) on 2010-12-01 19:52:38 (Show Source):
You can put this solution on YOUR website!One number is two more than a second number. Twice the first is 4 less than 3 times the second. Find the numbers.
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Equations:
x = y+2
2x= 3y-4
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Substitute for x and solve for "y":
2(y+2) = 3y-4
2y+4 = 3y-4
y = 8 (the 2nd number)
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Since x = y + 2, x = 10 (the 1st number)
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Cheers,
Stan H.
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Miscellaneous_Word_Problems/379302: miranda visited a petting zoo on saturday. she counted 95 ducks and goats.
she also counted 316 legs between the ducks and goats. how many of each kind of each animal did miranda see?
1 solutions
Answer 269304 by stanbon(57307) on 2010-12-01 19:24:56 (Show Source):
You can put this solution on YOUR website! miranda visited a petting zoo on saturday. she counted 95 ducks and goats.
she also counted 316 legs between the ducks and goats. how many of each kind of each animal did miranda see?
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Equations:
Heads: d + g = 95
Legs::2d +4g = 316
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Multiply thru the 1st equation by 2 to get:
2d + 2g = 190
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Subtract that from the Legs equation and solve for "g":
2g = 126
g = 63 (# of goats)
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Since d+g = 95, d = 32 (# of ducks)
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Cheers,
Stan H.
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