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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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53010..53039 , 53040..53069 , 53070..53099 , 53100..53129 , 53130..53159 , 53160..53189 , 53190..53219 , 53220..53249 , 53250..53279 , 53280..53309 , 53310..53339 , 53340..53369 , 53370..53399 , 53400..53429 , 53430..53459 , 53460..53489 , 53490..53519 , 53520..53549 , 53550..53579 , 53580..53609 , 53610..53639 , 53640..53669 , 53670..53699 , 53700..53729 , 53730..53759 , 53760..53789 , 53790..53819 , 53820..53849 , 53850..53879 , 53880..53909 , 53910..53939 , 53940..53969 , 53970..53999 , 54000..54029 , 54030..54059 , 54060..54089 , 54090..54119 , 54120..54149 , 54150..54179 , 54180..54209 , 54210..54239 , 54240..54269 , 54270..54299 , 54300..54329 , 54330..54359 , 54360..54389 , 54390..54419 , 54420..54449 , 54450..54479 , 54480..54509 , 54510..54539 , 54540..54569 , 54570..54599 , 54600..54629 , 54630..54659 , 54660..54689 , 54690..54719 , 54720..54749 , 54750..54779 , 54780..54809 , 54810..54839 , 54840..54869 , 54870..54899 , 54900..54929 , 54930..54959 , 54960..54989 , 54990..55019 , 55020..55049 , 55050..55079 , 55080..55109 , 55110..55139 , 55140..55169 , 55170..55199 , 55200..55229 , 55230..55259 , 55260..55289 , 55290..55319 , 55320..55349 , 55350..55379 , 55380..55409 , 55410..55439 , 55440..55469 , 55470..55499 , 55500..55529 , 55530..55559 , 55560..55589 , 55590..55619 , 55620..55649 , 55650..55679 , 55680..55709 , 55710..55739 , 55740..55769 , 55770..55799 , 55800..55829 , 55830..55859 , 55860..55889 , 55890..55919 , 55920..55949 , 55950..55979 , 55980..56009 , 56010..56039 , 56040..56069 , 56070..56099 , 56100..56129 , 56130..56159 , 56160..56189 , 56190..56219 , 56220..56249 , 56250..56279 , 56280..56309 , 56310..56339 , 56340..56369 , 56370..56399 , 56400..56429 , 56430..56459 , 56460..56489 , 56490..56519 , 56520..56549 , 56550..56579 , 56580..56609 , 56610..56639 , 56640..56669 , 56670..56699 , 56700..56729 , 56730..56759 , 56760..56789 , 56790..56819 , 56820..56849 , 56850..56879 , 56880..56909 , 56910..56939 , 56940..56969 , 56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239, >>NextExpressions-with-variables/387931: Can you help me with this? a store manager decides to market 40 combinations of light bulbs and pocket flashlights a box of light bulbs cost 1.85 each and the pocket flashlights costs 2.75 each, each combination pack of light bulbs and flashlight sold at 3.95 a pack, a contractor purchases 25 combination packs of bulbs and flashlights, how many of boxes of each bulbs and flashlight packets did the contractor buy? Please help! Shelly
1 solutions
Answer 274299 by stanbon(57307)   on 2010-12-20 06:08:44 (Show Source):
You can put this solution on YOUR website!a store manager decides to market 40 combinations of light bulbs and pocket flashlights
-------------------------
a box of light bulbs cost 1.85 each and the pocket flashlights costs 2.75 each,
-------------------------
each combination pack of light bulbs and flashlight sold at 3.95 a pack,
--------------------------
a contractor purchases 25 combination packs of bulbs and flashlights,
------------------------
how many of boxes of each bulbs and flashlight packets did the contractor buy?
-----
I guess if the contractor bought 25 comgination packs he must have
bought 25 boxes of bulbs and 25 flashlight flashlights.
-----
Cheers,
Stan H.
|
Quadratic-relations-and-conic-sections/387929: I am trying to find the y-intercepts of  all I have been able to figure out is that the vertex is (-2,-1), if you could also show me how it is done that would be great. Thank you.
1 solutions
Answer 274234 by stanbon(57307) on 2010-12-19 20:23:37 (Show Source):
You can put this solution on YOUR website!I am trying to find the y-intercepts of all I have been able to figure out is that the vertex is (-2,-1), if you could also show me how it is done that would be great. Thank you.
---
x+2=(y+1)^2
----
Let x = 0,then solve for "Y":
(y+1)^2 = 2
y+1 = +sqrt(2) or y+1 = -sqrt(2)
---
y = -1+sqrt(2) or y = -1-sqrt(2)
----
Those are the y-intercepts of the parabola.
===========================
Cheers,
Stan H.
|
Word_Problems_With_Coins/387921: The number of nickels is 5 times the number od dimes. Their value is $1.05. How many coins od each type are there?
1 solutions
Answer 274233 by stanbon(57307) on 2010-12-19 20:17:55 (Show Source):
You can put this solution on YOUR website!The number of nickels is 5 times the number of dimes. Their value is $1.05. How many coins od each type are there?
-------------------
Equations:
Quantity: n = 5d
Value: 5n + 10d = 105 cents
-------------------------------
Substitute for "n" and solve for "d":
5(5d) + 10d = 105
35d = 105
---
d = 3 (# of dimes)
---
Since n = 5d, n = 15 (# of nickels)
========================================
Cheers,
Stan H.
|
Quadratic_Equations/387926: Solve the quadratic equation. Show and explain each step in finding the solutions:
5x^2 + 2x = 3
This is what I have got when I have tried o do it
5x^2 + 2x = 3
Step 1: Write equation in standard form so one side equals 0 by adding -3 to both sides of equation
5x^2+2x-3=0
Step 2: Factor on left side of equation
(5x-1)(x+3) = 0
Step 3: Use zero-product rule
5x-1=0
x+3=0
Step 4: Solve equation x= 1/5 and x= -3
1 solutions
Answer 274231 by stanbon(57307) on 2010-12-19 20:09:20 (Show Source):
You can put this solution on YOUR website!5x^2 + 2x = 3
Step 1: Write equation in standard form so one side equals 0 by adding -3 to both sides of equation
5x^2+2x-3=0
======================
Factor:
5x^2 +5x-3x -3 = 0
--------------
5x(x+1)-3(x+1) = 0
(x+1)(5x-3) = 0
x = -1 or x = 3/5
=====================
Cheers,
Stan H.
===============
|
Linear_Equations_And_Systems_Word_Problems/387925: Kim bought 4 shirts and 3 pair of jeans for $109.85.
Jim bought 6 shirts and 1 pair of jeans for $94.95.
what is the cost in dollars, for 1 pair of jeans?
1 solutions
Answer 274227 by stanbon(57307) on 2010-12-19 19:51:18 (Show Source):
You can put this solution on YOUR website!Kim bought 4 shirts and 3 pair of jeans for $109.85.
Jim bought 6 shirts and 1 pair of jeans for $94.95.
what is the cost in dollars, for 1 pair of jeans?
------------
Equations:
4s + 3j = 109.85
6s + j = 94.95
-----
Multiply thru the bottom equation by 3
=================
4s + 3j = 109.85
18s +3j = 3*94.95
-------
Subtract and solve for "s":
14s = 175
--
s = $5.36 (cost of one shirt)
----
Substitute and solve for "j":
6(5.36)+j = 94.95
---
j = $62.81 (cost of one jean)
====================================
Cheers,
Stan H.
===========
|
test/387919: Came across a problem with fractions. The problem is 6/5(z)=4/7, what would z equal.
1 solutions
Answer 274222 by stanbon(57307) on 2010-12-19 19:30:52 (Show Source):
You can put this solution on YOUR website! 6/5(z)=4/7, what would z equal
----------------
Multiply both sides by (5/6) to get:
z = (5/6)(4/7)
---
z = 20/42
---
z = 10/21
===============
Cheers,
Stan H.
=============
|
Numbers_Word_Problems/387916: I am less than 10
I am an even number
I am a square number
If you show me how to do this one, then I will try my other ones.
Tx for your help.
1 solutions
Answer 274221 by stanbon(57307) on 2010-12-19 19:27:25 (Show Source):
You can put this solution on YOUR website! I am less than 10
I am an even number
I am a square number
-----
The even numbers less than 10 are :2,4,6,8
The only one of those that is a perfect square is 4.
========================================
Cheers,
Stan H.
|
Probability-and-statistics/387917: A baseball player has a batting average of 0.250. What are the odds that the next time the player batts he gets a hit.
1 solutions
Answer 274220 by stanbon(57307) on 2010-12-19 19:24:11 (Show Source):
You can put this solution on YOUR website!A baseball player has a batting average of 0.250. What are the odds that the next time the player bats he gets a hit.
------
P(hit) = 0.250
P(no hit) = 0.750
----
odds of getting a hit = [P(hit)]/]P(no hit)] = 1:3
===================================================
Cheers,
Stan H.
=========
|
Quadratic_Equations/387915: What two positive integers multiplied together gives me 1440, and added together gives me 13?
1 solutions
Answer 274218 by stanbon(57307) on 2010-12-19 19:20:51 (Show Source):
You can put this solution on YOUR website!What two numbers multiplied together give me 1440,
and added together give me 13?
----------------
Equations:
xy = 1440
x+y = 13
-----
y = 13-x
---
Substitute for "y" and solve for "x":
x(13-x)-1440 = 0
-x^2+13x-1440 = 0
-----
x^2-13x+1440 = 0
-----
No Real Number solution.
----
Cheers,
Stan H.
|
Human-and-algebraic-language/387822: A biologist finds that the population of a certain type of bacteria doubles each half-hour. An initial culture has 90 bacteria.
How long will it take for the number of bacteria to reach 368,640?
1 solutions
Answer 274168 by stanbon(57307) on 2010-12-19 13:49:01 (Show Source):
You can put this solution on YOUR website! A biologist finds that the population of a certain type of bacteria doubles each half-hour. An initial culture has 90 bacteria.
How long will it take for the number of bacteria to reach 368,640?
------
A(t) = Ao*2^(2t)
----
368640 = 90*2^(2t)
4096 = 2^(2t)
(2t)ln(2) = ln(4096)
2t = ln(4096)/ln(2)
2t = 12
t = 6 hours
============
Cheers,
Stan H.
============
|
Permutations/387810: A ten-person club must select a president, a vice-president and a secretary treasurer. They must also select a 3 person committee. If the officers may not serve on the committee, in how many ways may both selections be made?
Assume one person cannot be assigned more than one position.
1 solutions
Answer 274166 by stanbon(57307) on 2010-12-19 13:41:52 (Show Source):
You can put this solution on YOUR website!A ten-person club must select a president, a vice-president and a secretary treasurer.
They must also select a 3 person committee.
If the officers may not serve on the committee, in how many ways may both selections be made?
Assume one person cannot be assigned more than one position.
------------------------------------
# of ways to pick P,VP,and sec: 10*9*8
------
# of ways to pick 3 person committee: 7C3 = 35
----
# of ways to make the selections:
10*9*8*35 = 25200
=======================
Cheers,
Stan H.
=======================
|
Miscellaneous_Word_Problems/387811: How do you convert each of the following fractions to decimals that either terminate or repeat: 6/30 and 5/11?
1 solutions
Answer 274163 by stanbon(57307) on 2010-12-19 13:27:40 (Show Source):
You can put this solution on YOUR website! How do you convert each of the following fractions to decimals that either terminate or repeat:
6/30 = 1/5 = 0.200000...
-----------------------------------
5/11 = 0.45454545...
===========================
Note: ALL fractions have repeating decimal forms.
---------------------
Cheers,
Stan H.
|
Linear-equations/387679: find an equation of the line containing the givin pair of points (-5,-6) (-3,-1)
1 solutions
Answer 274054 by stanbon(57307) on 2010-12-18 20:08:11 (Show Source):
You can put this solution on YOUR website!find an equation of the line containing
the given pair of points (-5,-6) (-3,-1)
----------
slope = (-1--6)/(-3--5) = 5/2
---------------------
Form:
y = mx + b
----
Substitute for y,x,m and solve for "b":
-1 = (5/2)*-3 + b
-1 = -15/2 + b
b = 13/2
-------
Equation:
y = (5/2)x + (13/2)
=====================
Cheers,
Stan H.
==========
|
Miscellaneous_Word_Problems/387674: The theoretical probability of undesirable side effects resulting from taking Grebex is 2 in 13. If 260 people take Grebex to lower their blood pressure, how many will encounter undesirable side effects?
1 solutions
Answer 274052 by stanbon(57307) on 2010-12-18 20:03:02 (Show Source):
You can put this solution on YOUR website!The theoretical probability of undesirable side effects resulting from taking Grebex is 2 in 13. If 260 people take Grebex to lower their blood pressure, how many will encounter undesirable side effects?
----------------------------------------
2 to 13 is the same as 2x to 13x
-----
Equation:
2x+3x = 260
5x = 260
x = 52
----
2x = 104 will encounter undesirable side effects.
----------------
Cheers,
Stan H.
|
Linear-systems/387678: I need to complete a table for this equation and I am not sure how to do so.
y= -1/2x-4
x y (x,y)
-1
-2
Thank you!
1 solutions
Answer 274051 by stanbon(57307) on 2010-12-18 19:57:10 (Show Source):
You can put this solution on YOUR website! I need to complete a table for this equation and I am not sure how to do so.
y= -1/2x-4
x::::::::::::::::: y:::::::::(x,y)
-1 (-1/2)(-1)-4 = -7/2 (-1,-7/2)
-2 (-1/2)(-2)-4 = -3 (-2,-3)
...
Cheers,
Stan H.
|
Polynomials-and-rational-expressions/387617: What is the answer when using the binomial theorem or Pascal's triangle to expand the following binomial (4-3x)4?
1 solutions
Answer 274017 by stanbon(57307) on 2010-12-18 15:25:09 (Show Source):
You can put this solution on YOUR website!What is the answer when using the binomial theorem or Pascal's triangle to expand the following binomial (4-3x)^4?
----------------------
4C4(4)^4(-3x)^0 +4C3(4)^3(-3x) +4C2(4)^2(-3x)^2 +4C1(4)^1(-3x)^3+4C0(4)^0(-3x)^4
=================
= 256 - 768x + 864x^2 -432x^3 + 81x^4
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Cheers,
Stan H.
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Numeric_Fractions/387618: I am trying to solve this problem: Divide 17/8 divided by 4/9
Supposedly the answer is a big 15 little 3 over a big 3 little 2.
I have tried to solve it by putting 17/8 * 9/4 = 153/32
Then I went further and divided that to get 4 25/32.
I also divded 17/8 and 4/9 and got 2.125 and 0.444 and got 4.786036
Then I tried 17 / 4 = 4.25 and 8 /9 = 0.888 and then and still got 4.786036
Then 17/8 * 9/4 and got 153/32 = 4.78125
It seems like the answer has a whole number and fraction on top and a whole number and fraction on bottom.
I do not understand how the answer is big 15 little 3 over big 3 little 2. I am not sure exactly what type of math question it is. All I can figure is dividing fractions.
Thanks in advance!!!
1 solutions
Answer 274016 by stanbon(57307) on 2010-12-18 15:09:20 (Show Source):
You can put this solution on YOUR website!Divide 17/8 divided by 4/9
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(17/8)/(4/9)
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Invert the denominator and multiply:
= (17/8)*(9/4)
----
= (17*9)/(8*4)
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= (136)/(32)
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= 153/32..
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= 4.781250
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Cheers,
Stan H.
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Probability-and-statistics/387566: Which pair has equally likely outcomes? Check the two choices below which have equal probabilities of success. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards).
rolling a sum of 4 on two fair six sided dice
drawing a black seven out of a standard 52 card deck given it’s not a face card or an Ace.
rolling a sum of 11 on two fair six sided dice
rolling a sum of 7 on two fair six sided dice
drawing a three out of a standard 52 card deck given it’s not a face card or an Ace
the fractions I come up with no matches
1/13 drawing 3 out of deck of cards
2/52 drawing a black 7 out of deck of cards
6/36 = 1/6 rolling 7
2/36 rolling 11
1 solutions
Answer 273989 by stanbon(57307) on 2010-12-18 10:12:21 (Show Source):
You can put this solution on YOUR website!rolling a sum of 4 on two fair six sided dice:::3/36 = 1/12
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drawing a black seven out of a standard 52 card deck given it’s not a face card or an Ace. ::: 2/36 = 1/18
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rolling a sum of 11 on two fair six sided dice:::2/36 = 1/18
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rolling a sum of 7 on two fair six sided dice:::1/6
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drawing a three out of a standard 52 card deck
given it’s not a face card or an Ace:::4/36 = 1/9
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Cheers,
Stan H.
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1/13 drawing 3 out of deck of cards
2/52 drawing a black 7 out of deck of cards
6/36 = 1/6 rolling 7
2/36 rolling 11
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Probability-and-statistics/387546: A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of to . In a recent year, the national mean score for the writing section was , with a standard deviation of . Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year.
a. according to Chebyshevs therom, at least 8/9 of the scores lie between what. round to 1 decimal place
b.according to Chebysev therom, at least what % lies between 28.7 and 72.7
c.supposed the distrubution is bell shaped. according to the empirical rule, approx what percentof the scores lie between 28.7 and 72.7
d. suppose that the distubution list is bel shaped, according to the empiricial rule approx 68 % of the scores are between what
iam so lost on this ,not sure where to start
1 solutions
Answer 273980 by stanbon(57307) on 2010-12-18 08:47:43 (Show Source):
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Linear-equations/387540: given points (2,4) , (x,8) slope = -1/2
How do I slove for x? Please show all your work.
Do you cross multiply?
1 solutions
Answer 273979 by stanbon(57307) on 2010-12-18 08:43:44 (Show Source):
You can put this solution on YOUR website! given points (2,4) , (x,8) slope = -1/2
How do I solve for x?
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Find "x":
slope = (8-4)/(x-2) = -1/2
----
4/(x-2) = -1/2
----
Cross multiply:
x-2 = 8
x = 10
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cheers,
Stan H.
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Expressions-with-variables/387543: Janet can shovel snow from her driveway in 45 minutes. Bill can do the same job in 35 minutes. How long would it take Janet and Bill to shovel the driveway if they worked together? ___ minutes.
1 solutions
Answer 273978 by stanbon(57307) on 2010-12-18 08:38:35 (Show Source):
You can put this solution on YOUR website!Janet can shovel snow from her driveway in 45 minutes. Bill can do the same job in 35 minutes. How long would it take Janet and Bill to shovel the driveway if they worked together? ___ minutes.
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Janet rate = 1/45 job/min
Bill rate = 1/35 job/min
Together rate = 1/x job/min
-------------------------------
Equation:
rate + rate = together rate
1/45 + 1/35 = 1/x
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35x + 45x = 35*45
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80x = 35*45
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x = (35*45)/80
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x = 19.69 minutes (time to do the job together)
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Cheers,
Stan H.
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Quadratic_Equations/387541: Determine the nature of solution
y^2= 3/4y + 4/5
1 solutions
Answer 273977 by stanbon(57307) on 2010-12-18 08:33:42 (Show Source):
You can put this solution on YOUR website! Determine the nature of solution
y^2= 3/4y + 4/5
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y^2-(3/4)y-(4/5) = 0
Multiply thru by 20 to get:
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20y^2-15y-16 = 0
----
b^2-4ac = 15^2-4*20*-16 > 0
so there are two unequal Real
Number solutions.
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Cheers,
Stan H.
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Evaluation_Word_Problems/387494: Joe has a collection of nickels and dimes that is worth $8.55. If the number of dimes was tripled and the number of nickels was deceased by 2, the value of the coins would be $10.45. How many nickels and dimes does he have?
1 solutions
Answer 273939 by stanbon(57307) on 2010-12-17 21:38:28 (Show Source):
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