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Recent problems solved by 'stanbon'
stanbon answered: 57135 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, >>NextLinear-equations/212660: This question is from textbook
Please help me solve this equation to graph inequality and plot at least five points.
This is the steps I tried x-2y =6
x -2+2 = 6+2
X + 0 = 8
x = 8
I read the example 3 an 5 on page 175 and 177, but I don't get it. My solution above for the first part may be wrong. I want to follow the correct steps.
1 solutions
Answer 160572 by stanbon(57203)   on 2009-09-10 21:29:27 (Show Source):
You can put this solution on YOUR website!solve this equation to graph equality and plot at least five points.
This is the steps I tried x-2y =6
---------------------------------------
Solve for y:
2y = x-6
y = (1/2)x-3
---------------------
If x = 0, y = -3
If x = 2, y = -2
If x = 4, y = -1
If x = 6, y = 0
If x = 8, y = 1
=====================
Cheers,
Stan H.
|
Equations/212647: What volume (in cc) is occupied by a block of wood of dimensions 25.0m X 10.0cm X 300m? All edges are 90 degrees to one another.
1 solutions
Answer 160571 by stanbon(57203) on 2009-09-10 21:26:12 (Show Source):
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Graphs/212626: I want to make sure I did this right. And I was wondering what the graph looks like. I think I did something wrong.
Evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph via the Dropbox. State the equation of the line asymptotic to the graph (if any).
Question: y = log4 (x + 4)
y = log4 (x + 4)
y=log4(1+4)
y=5ln/4ln
x=1 y=1.2
y=log4(2+4)
y=6ln/4ln
x=2 y= 1.3
y=log4(3+4)
y=7ln/4ln
x=3 y=1.4
y=log4(4+4)
y=8ln/4ln
x=4 y=1.5
y=log4(.25+4)
y=4.25ln/4ln
x=.25 y=1.04
y=log4(.5+4)
y=4.5ln/4ln
x=.5 y=1.1
y=log4(.75+4)
y=4.75ln/4ln
x=.75 y=1.12
1 solutions
Answer 160570 by stanbon(57203) on 2009-09-10 21:21:36 (Show Source):
You can put this solution on YOUR website!I want to make sure I did this right. And I was wondering what the graph looks like. I think I did something wrong.
Evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph via the Dropbox. State the equation of the line asymptotic to the graph (if any).
Question: y = log4 (x + 4)
y = log4 (x + 4)
y=log4(1+4)
y=5ln/4ln
x=1 y=1.2
y=log4(2+4)
y=6ln/4ln
x=2 y= 1.3
y=log4(3+4)
y=7ln/4ln
x=3 y=1.4
y=log4(4+4)
y=8ln/4ln
x=4 y=1.5
y=log4(.25+4)
y=4.25ln/4ln
x=.25 y=1.04
y=log4(.5+4)
y=4.5ln/4ln
x=.5 y=1.1
y=log4(.75+4)
y=4.75ln/4ln
x=.75 y=1.12
---------------------------
I'm afraid there is some misunderstanding:
For example:
y = log(base 4) (x+4)
If x = 1,
y = log(base 4) (5)
y = ln(5)/ln(4) = 1.1609
===============================
Cheers,
Stan H.
|
Triangles/212643: This question is from textbook Amsco's Geometry
The lengths of the sides of an isosceles triangle are represented by 2x+5, 2x-6, and 3x-3. What are the lengths of the sides of the triangle?
1 solutions
Answer 160560 by stanbon(57203) on 2009-09-10 20:46:49 (Show Source):
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Linear_Algebra/212564: x+y-2z=5
x+2y+z=8
2x+3y-z=1
1 solutions
Answer 160525 by stanbon(57203) on 2009-09-10 18:58:34 (Show Source):
You can put this solution on YOUR website!x+y-2z=5
x+2y+z=8
2x+3y-z=1
-----------------
subtract the 1st Eq. from the 2nd
Subtract twice the 1st Eq. from the 3rd
----------------------------------------
x+y-2z=5
0+y+3z=3
0+y+3z=-10
---------------------
Subtract the 2nd Eq. from the 3rd:
--------------------------------------
x+y-2z=5
0+y+3z=3
0+0+0 =7
---------------
The last equation shows a contradiction.
There is no solution for the system.
=========================================
Cheers,
Stan H.
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Money_Word_Problems/212565: This question is from textbook Elementary and intermediate algebra
Janet invested her savings in two accounts. One of the accounts paid 2% intrest, and the other paid 5%. Janet put twice as much money int eh account that paid 5% as she put in the account that paid 2%. if she earned a total of $84 in intrest from the two accounts in one year, find the amount invested in each fund?
1 solutions
Answer 160520 by stanbon(57203) on 2009-09-10 18:22:34 (Show Source):
You can put this solution on YOUR website!Janet invested her savings in two accounts. One of the accounts paid 2% intrest, and the other paid 5%. Janet put twice as much money in the account that paid 5% as she put in the account that paid 2%. If she earned a total of $84 in interest from the two accounts in one year, find the amount invested in each fund?
--------------------------------------------------------------------
Quantity Equation: f = 2t
Interest Equation:0.05f + 0.02t = 84 dollars
-------------------------------------------------
Substitute for "f" and solve for "t":
Also Multiply thru the equation by 100:
---
5(2t) + 2t = 8400
12t = 8400
---
t = 700 (amt. invested at 2%)
---
f= 2t = $1400 (amt. invested at 5%)
=========================================
Cheers,
Stan H.
|
Angles/212559: 1.If two angles are supplementary and one is acute the other is obtuse, 2.If tow angles are complementary, they are both acute angles. answer with sometimes, always, or never...thanks for the help
1 solutions
Answer 160518 by stanbon(57203) on 2009-09-10 18:03:38 (Show Source):
You can put this solution on YOUR website!1.If two angles are supplementary and one is acute the other is obtuse,
Ans: Always
=======================
2.If two angles are complementary, they are both acute angles.
Not if negative angles are allowed.
Example: -45 and 135
Ans: sometimes
===============================
Cheers,
Stan H.
answer with sometimes, always, or never
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Expressions-with-variables/212555: This question is from textbook algebra
The gym is 21 years younger than the auditorium. The gym is also one fourth as old as the auditorium How old is each building? Choices for auditoriums age: 26, 27, 28. Use the 5-step plan.
1 solutions
Answer 160515 by stanbon(57203) on 2009-09-10 17:51:17 (Show Source):
You can put this solution on YOUR website!The gym is 21 years younger than the auditorium. The gym is also one fourth as old as the auditorium How old is each building? Choices for auditoriums age: 26, 27, 28.
-----------------------------
Equations:
g = a - 21
g = (1/4)a
-----------------------
Substitute:
a-21 = (1/4)a
(3/4)a = 21
a = 28 (age of the auditorium)
g = a-21 = 28-21 = 7 (age of the gym)
=========================================
Cheers,
Stan H.
|
Trigonometry-basics/212554: This question is from textbook AMSCO'S Algebra 2 and Trigonometry
On his trip to work each day, Brady pays the same toll, using either all quarters or all dimes. If the number of dimes needed for the toll is 3 more than the number of quarters, what is the toll?
1 solutions
Answer 160514 by stanbon(57203) on 2009-09-10 17:47:02 (Show Source):
You can put this solution on YOUR website!On his trip to work each day, Brady pays the same toll, using either all quarters or all dimes. If the number of dimes needed for the toll is 3 more than the number of quarters, what is the toll?
----------------------------------------
Equations:
Value Equation: 25q-10d = 0
Quantity Equation: d = q + 3
----------------------------------
Substitute for "d" to solve for "q":
25q - 10(q+3) = 0
25q -10q = 30
15q = 30
q = 2 (# of quarters)
---
d = q+3 = 2+3 = 5 (# of dimes)
====================================
Cheers,
Stan H.
|
Functions/212550: Find the value of k for which each question is an identity.
k(3x-2)=4minus6x
1 solutions
Answer 160513 by stanbon(57203) on 2009-09-10 17:38:10 (Show Source):
You can put this solution on YOUR website!Find the value of k for which each question is an identity.
k(3x-2)=4minus6x
------------------------
3kx - 2k = -6x + 4
-----------------------
3k=-6 and -2k=4
k = -2
====================
Cheers,
Stan H.
|
Equations/212539: Using the addition method, what is the solution to 2x-5y=4 and 7x-2y=4
I've tried and I can't figure it out. I eliminate the x's by multiplying to 14 but i get the fraction of 16/31y and it isn't correct.
1 solutions
Answer 160511 by stanbon(57203) on 2009-09-10 17:33:10 (Show Source):
You can put this solution on YOUR website!Using the addition method, what is the solution to
2x-5y=4
7x-2y=4
--------------------------------------
Multiply thru the 1st equation by 2; Multiply thru the 2nd equation by 5.
---
4x-10y = 8
35x-10y = 20
--------------------
Subtract the 1st from the 2nd to solve for "x":
31x = 12
x = 12/31
------------------------
Substitute into 2x-5y=4 to solve for "y":
2(12/31) - 5y = 4
24/31 - 5y = 124/31
5y = -100/31
y = -20/31
--------------------
Cheers,
Stan H.
|
Trigonometry-basics/212525: Give the exact value of the following. If it is undefined, so state.
1)tan 4pi/3
2)sin 120 degrees
3)cos 5pi/6
I am having trouble figuring out all of the problems like the ones listed. Please help.
1 solutions
Answer 160488 by stanbon(57203) on 2009-09-10 16:33:55 (Show Source):
You can put this solution on YOUR website!Give the exact value of the following. If it is undefined, so state.
1)tan 4pi/3
---
(4/3)pi is 60 degrees in the 3rd quadrant
tan[(4/3)pi] = -sqrt(3)
--------------------------------
2)sin 120 degrees
120 has a reference angle of 60 degrees in the 2nd quadrant
sin(120) = sqrt(3)
--------------------------------
3)cos 5pi/6
(5/6)pi has a reference angle of 30 degrees in the 2nd quadrant:
cos[(5/6)pi] = -cos(30) = -sqrt(3)/2
=====================================
Cheers,
Stan H.
|
Mixture_Word_Problems/212524: How many grams of pure gold and how many grams of an alloy that is 75% gold would it take to make 50 grams of an alloy that is 85% gold?
Is this correct?
Let x = grams of 100% gold
Let y = grams of 75% gold allow
Given x + y = 50 grams
Find x and y for 85% gold alloy
________________________________________
X + .75(50 – x) = .85 * 50
X = 20
Y = 30
1 solutions
Answer 160484 by stanbon(57203) on 2009-09-10 16:20:42 (Show Source):
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Mixture_Word_Problems/212521: i was tought this but i forgot sooo: how many grams of salt must be added to 30 grams of a 20% salt solution to obtain a 25% salt solution?
1 solutions
Answer 160483 by stanbon(57203) on 2009-09-10 16:13:24 (Show Source):
You can put this solution on YOUR website!how many grams of salt must be added to 30 grams of a 20% salt solution to obtain a 25% salt solution?
----------------------------------------------
Equation:
salt + salt = salt
0.20*30 + x = 0.25(30+x)
Multiply thru by 100 to get:
600 + 100x = 25*30 + 25x
75x = 150
x = 2 grams (amt. of salt that must be added to the mixture)
================================================================
Cheers,
Stan H.
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Miscellaneous_Word_Problems/212509: Ferdie was having a big party and he was excited. He had been practicing his opening lines all week and as soon as he he got to the part, 20 girls at the party left. There now remained 2 boys for each girl. A lot of the other boys thought the party was pathetic, so 20 of the boys also left. There were now 3 times as many girls as boys. How many boys and girls were at the party when Ferdie got there?
1 solutions
Answer 160481 by stanbon(57203) on 2009-09-10 16:08:14 (Show Source):
You can put this solution on YOUR website!Ferdie was having a big party and he was excited. He had been practicing his opening lines all week and as soon as he he got to the part, 20 girls at the party left. There now remained 2 boys for each girl. A lot of the other boys thought the party was pathetic, so 20 of the boys also left. There were now 3 times as many girls as boys. How many boys and girls were at the party when Ferdie got there?
--------------------------
Let original # of girls be "G"; Let original number of boys be "B".
---------------------
After 20 girls left:
B = 2(G-20)
--------------------------
After 20 boys left:
(G-20) = 3(B-20)
-------------------------
Substitute for "B" and solve for "G":
G-20 = 3(2G-40-20)
G-20 = 3(2G-60)
G-20 = 6G-180
5G = 160
G = 32 (original number of girls)
---
B=2(G-20)
B = 2*12 = 24 (original number of boys)
===========================================
Cheers,
Stan H.
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Linear-systems/212515: This question is from textbook algebra 2
0.2(x+3)- 4(2x-3)= 3.4
1 solutions
Answer 160476 by stanbon(57203) on 2009-09-10 16:00:17 (Show Source):
You can put this solution on YOUR website!0.2(x+3)- 4(2x-3)= 3.4
---
Multiply thru by 10 to get rid of those pesky decimals:
2(x+3) -40(2x-3) = 34
Divide thru by 2 to get:
x+3 - 20(2x-3) = 17
x+3 - 40x + 60 = 17
39x = 46
x = 46/39
=================================
Cheers,
Stan H.
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Polynomials-and-rational-expressions/212514: need help in finding the slope of the line containing the points?
p1(3,-2) and p2(-2,-1)
1 solutions
Answer 160475 by stanbon(57203) on 2009-09-10 15:55:12 (Show Source):
You can put this solution on YOUR website!need help in finding the slope of the line containing the points?
p1(3,-2) and p2(-2,-1)
-------------------------------
slope = change in y divided by corresponding change in x
----------------------
slope = (-1--2)/(-2-3) = 1/-5 = -1/5
==========================================
Cheers,
Stan H.
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Age_Word_Problems/212507: Loretta's age now is twice John's age five years ago. In three years, the sum of John's and Loretta's ages will be 50. How old are Loretta and John today?
Fred is closing a bank account and wants to distribute the money among his grandchildren by giving each of them $20.00 To do this, Fred, needs an additional $62.00. Instead, he gave each grandchild $17.00 and had $7.00 left over. How many grandchildren does Fred have? How much money did he have in the bank account?
1 solutions
Answer 160474 by stanbon(57203) on 2009-09-10 15:52:37 (Show Source):
You can put this solution on YOUR website!Loretta's age now is twice John's age five years ago. In three years, the sum of John's and Loretta's ages will be 50. How old are Loretta and John today?
---------
Now DATA:
Let John's age be "J" ; Let Loretta's age be "L"
------------------------------------
Equations:
L = 2(J-5)
(L+3)+(J+3)= 50
----
Substitute; then solve for J; then solve for L.
=======================================================
Fred is closing a bank account and wants to distribute the money among his grandchildren by giving each of them $20.00 To do this, Fred, needs an additional $62.00. Instead, he gave each grandchild $17.00 and had $7.00 left over. How many grandchildren does Fred have? How much money did he have in the bank account?
---
Let "a" be the amount of money in the bank account.
Let "g" be the number of grandchildren.
----------------------
Equations:
20g = x+62
---
17g = x-7
-----------------
Substitute for "x" and solve for "g":
20g = 17g+7+62
3g = 69
g = 23 (# of grandchildren)
------------------------------------
x = 17g+7
x = 17*23+7
x = $398 (amt in the bank)
===============================
Cheers,
Stan H.
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Sequences-and-series/212504: sequence 4,7,10,....
formula 3n+1
if two numbers of the sequence are multiplied need to show proof that result is always a number in this sequence.
please give guidance
1 solutions
Answer 160466 by stanbon(57203) on 2009-09-10 15:30:21 (Show Source):
You can put this solution on YOUR website!sequence 4,7,10,....
formula 3n+1
if two numbers of the sequence are multiplied need to show proof that result is always a number in this sequence.
---------------------
You need to show that if two numbers having that form are multiplied
the product has that form.
------------------------------
1st number 3a + 1
2nd number 3b + 1
------------------------
Product: 9ab + 3a + 3b + 1
Rearrange:
3(3ab+a+b) + 1
It has the form 3k+1
That proves what you were asked to prove.
=============================
Cheers,
Stan H.
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Word_Problems_With_Coins/212492: This is a word problem I am having trouble setting up. Please help!
The oak street theater sells adult tickets for $7.50 each, and childrens tickets for $2.00 each. On a certain day, they sold 75 tickets, and made a total of $408.50. How many of each type of ticket did they sell? If you can help me get started with the equation and how to set it up I can figure it out. Thank you,
Mallory
1 solutions
Answer 160456 by stanbon(57203) on 2009-09-10 14:02:11 (Show Source):
You can put this solution on YOUR website!The oak street theater sells adult tickets for $7.50 each, and childrens tickets for $2.00 each. On a certain day, they sold 75 tickets, and made a total of $408.50. How many of each type of ticket did they sell?
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Quantity Equation: a + c = 75
Value Equation: 7.5a+2c = 408.50
---------------------------
Multiply thru the Quantity Eq by 2 to set it up for elimination:
2a + 2c = 150
---
Subtract that from the Value Equation:
5.5a = 258.5
a = 47 (# of adults)
c = 75-47 = 28 (# of children)
====================================
Cheers,
Stan H.
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Inequalities/212481: x^2-8x>0
1 solutions
Answer 160451 by stanbon(57203) on 2009-09-10 13:54:46 (Show Source):
You can put this solution on YOUR website!x^2-8x>0
-------
x(x-8) > 0
------------
Draw a number line.
Plot x = 0 and x = 8
-----------------
Check a value in each of the intervals to see where solutions lie.
---
If x = -10 you get -*- > 0 ; true so solutions in (-inf,0)
If x = 5 you get +*- > 0 ; false
If x = 10 you get +*+ > 0 ; true so solutions in (8,+inf)
==============================================================
Cheers,
Stan H.
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Equations/212487: This question is from textbook Elementary and Intermediate Algebra
Solve the problem.
Find the hydrogen ion concentration of a solution whose pH is 6.0. Use the formula pH = -log[H+]
A)-7.78 x 10-1
B)7.78 x 10-1
C)1.00 x 10-6
D) 1.00 x 106
1 solutions
Answer 160443 by stanbon(57203) on 2009-09-10 13:26:36 (Show Source):
You can put this solution on YOUR website!Find the hydrogen ion concentration of a solution whose pH is 6.0. Use the formula pH = -log[H+]
---
pH = -log[6] = -0.77815 = -7.78x10^-1
==================
Cheers,
Stan H.
A)-7.78 x 10-1
B)7.78 x 10-1
C)1.00 x 10-6
D) 1.00 x 106
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Probability-and-statistics/212438: Please help with this question.
State True or False
a) A collection of all the objects to be studied is a population.
b) A subset or part of the population is called a partial population.
c) In a frequency distribution, the class size is always 4.
d) The sum of the percents of the sectors in a pie chart should be 100%.
e) A frequency distribution can be illustrated using a histogram.
1 solutions
Answer 160442 by stanbon(57203) on 2009-09-10 13:15:15 (Show Source):
You can put this solution on YOUR website!State True or False
a) A collection of all the objects to be studied is a population.
True
-------------
b) A subset or part of the population is called a partial population.
I guess it could be
-------------
c) In a frequency distribution, the class size is always 4.
False
-------------
d) The sum of the percents of the sectors in a pie chart should be 100%.
True
-------------
e) A frequency distribution can be illustrated using a histogram.
True
===============
Cheers,
Stan H.
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Probability-and-statistics/212459: Can I get some help with this one thanks
Find the mean, median, and mode for the following set of data which shows the number of pages per article in a random sample of magazine articles.
6---7---5---4---7---5---5---7
8---5---3---6---8---9---5
1 solutions
Answer 160440 by stanbon(57203) on 2009-09-10 13:11:06 (Show Source):
You can put this solution on YOUR website!Find the mean, median, and mode for the following set of data which shows the number of pages per article in a random sample of magazine articles.
6---7---5---4---7---5---5---7
8---5---3---6---8---9---5
========================================
If you do not have a calculator or software
to work probles of this type you need to
acquire one or the other.
-----------
mean:::::: 6
median:::: 6
mode:::::: 5
======================
Cheers,
Stan H.
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