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stanbon answered: 57901 problems
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49050..49079 , 49080..49109 , 49110..49139 , 49140..49169 , 49170..49199 , 49200..49229 , 49230..49259 , 49260..49289 , 49290..49319 , 49320..49349 , 49350..49379 , 49380..49409 , 49410..49439 , 49440..49469 , 49470..49499 , 49500..49529 , 49530..49559 , 49560..49589 , 49590..49619 , 49620..49649 , 49650..49679 , 49680..49709 , 49710..49739 , 49740..49769 , 49770..49799 , 49800..49829 , 49830..49859 , 49860..49889 , 49890..49919 , 49920..49949 , 49950..49979 , 49980..50009 , 50010..50039 , 50040..50069 , 50070..50099 , 50100..50129 , 50130..50159 , 50160..50189 , 50190..50219 , 50220..50249 , 50250..50279 , 50280..50309 , 50310..50339 , 50340..50369 , 50370..50399 , 50400..50429 , 50430..50459 , 50460..50489 , 50490..50519 , 50520..50549 , 50550..50579 , 50580..50609 , 50610..50639 , 50640..50669 , 50670..50699 , 50700..50729 , 50730..50759 , 50760..50789 , 50790..50819 , 50820..50849 , 50850..50879 , 50880..50909 , 50910..50939 , 50940..50969 , 50970..50999 , 51000..51029 , 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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 , 57900..57929, >>NextEquations/335780: I am having some problem with find the lowest terms for these two I don't know how to convert each rational expression into an equivalent rational expression with the LCD as the denominator. Please help.
5x/x^2-1 and -4/x^2-2x+1
1 solutions
Answer 240809 by stanbon(57974)   on 2010-08-27 21:44:28 (Show Source):
You can put this solution on YOUR website!convert each rational expression into an equivalent rational expression with the LCD as the denominator. Please help.
5x/x^2-1 and -4/x^2-2x+1
----
You have to factor each denominator:
(5x)/[(x-1)(x+1)]
and
(-4)/[(x-1)^2]
-----
The LCD = (x+1)(x-1)^2
------
Rewrite each fraction with the LCD as its denominator:
[(5x)(x-1)]/LCD
and
[-4(x+1)]/LCD
==================================
Cheers,
Stan H.
==================================
|
Miscellaneous_Word_Problems/335790: driving from town A to town D, you pass thru town B then town C. town A to town B is 10 miles farther than from town B to town C. town B to town C is 10 miles farther than from town C to town D. if town A is 390 miles from town D, how many mile is town A to town B??
A-------B-------C-------D
.-------------------------.=390
390/3=130
answer is 140 mi; just can't explain or show method; could you help?
1 solutions
Answer 240805 by stanbon(57974) on 2010-08-27 21:39:00 (Show Source):
You can put this solution on YOUR website! driving from town A to town D, you pass thru town B then town C.
------------------------
town A to town B is 10 miles farther than from town B to town C.
town B to town C is 10 miles farther than from town C to town D.
---------------------------
if town A is 390 miles from town D, how many mile is town A to town B??
A-------B-------C-------D
.-------------------------.=390
=========================================
Let dist. from B to C be "x" miles.
Then dist. from A to B is "x+10" miles.
And dist. from C to D is "x -10" miles
===========================================
Equation:
x+10 + x + x-10 = 390
3x = 390
x = 130 miles
----
A to B = x+10 = 140
B to C = x = 130
C to D = x-10 = 120
=========================
Cheers,
Stan H.
=========================
|
Linear_Equations_And_Systems_Word_Problems/335785: Set up and Calculate.
The first programmer,Sammy,grossed $535 in 1 week by working 48 hours. The second programmer, Matin, grossed $587 in 1 week by working 52 hours. Time-and-a-half is paid for all hours worked in excess of 40 hours. Which programmer earns more per hour. I have to use a linear equation to do this problem.
Sammy takes 5 hours longer to complete 300 lines of code than Martin. Toghether, Sammy and Martin can complete the code in 6 hours.
Clearly explain the results showing the calculations of how long it takes each programmer to complete the code if he programs on his own. (hint:quadratic equation) and at what speed he is programming lines per hour
1 solutions
Answer 240802 by stanbon(57974) on 2010-08-27 21:31:29 (Show Source):
You can put this solution on YOUR website!The first programmer,Sammy,grossed $535 in 1 week by working 48 hours. The second programmer, Matin, grossed $587 in 1 week by working 52 hours. Time-and-a-half is paid for all hours worked in excess of 40 hours. Which programmer earns more per hour. I have to use a linear equation to do this problem.
-----------------
Let Sammy's hourly rate be "S"
Let Martin's hourly rate = "M"
-----
Equations:
Sammy Eq: 40S + (S/2)8 = 535 dollars
40S+4S = 535
44S = 535
S = $12.16 per hour (Sammy's hourly rate)
-----------------------------------------------
Martin Eq;40M + (M/2)12 = 587
40M + 6M = 587
46M = 587
M = $12.76 per hour (Martin's hourly rate)
==============================================
Sammy takes 5 hours longer to complete 300 lines of code than Martin. Toghether, Sammy and Martin can complete the code in 6 hours.
Sammy DATA:
time = x+5 hr/job ; rate = 1/(x+5) job/hr
---
Martin DATA:
time = x hr/job ; rate = 1/x job/hr
----
Together DATA:
time = 6 hr/job ; rate = 1/6 job/hr
=======================
Equation:
rate + rate = together rate
1/(x+5) + 1/x = 1/6
---
Multiply thru by 6x(x+5)
6x + 6(x+5) = x(x+5)
6x + 6x+30 = x^2+5x
12x + 30 = x^2+5x
x^2 - 7x - 30 = 0
Factor:
(x-10)(x+3) = 0
Positive solution:
x = 10 hrs (time required by Martin to do the job alone)
Martin's rate is 1/10 job/hr.
------------------------------------
x+5 = 15 hrs (time required by Sammy to do the job alone)
Sammy's rate is 1/15 job/hr.
=====================================
Cheers,
Stan H.
=====================================
Clearly explain the results showing the calculations of how long it takes each programmer to complete the code if he programs on his own. (hint:quadratic equation) and at what speed he is programming lines per hour
|
Equations/335786: If Don subtracts 24 from one-half of his number he gets 0. What is Don's number?
I don't know how to set it up in equation form.
1 solutions
Answer 240793 by stanbon(57974) on 2010-08-27 21:10:41 (Show Source):
You can put this solution on YOUR website!If Don subtracts 24 from one-half of his number he gets 0. What is Don's number?
-------------------
Let the number be "x":
Equation:
(1/2)x - 24 = 0
(1/2)x = 24
x = 48
===========
Cheers,
Stan H.
==========
|
Equations/335787: Three consecutive integers have a sum of -33. What are the integers?
I have the answer.. But I need to know how to set it up in equation form.
1 solutions
Answer 240790 by stanbon(57974) on 2010-08-27 21:09:03 (Show Source):
You can put this solution on YOUR website!Three consecutive integers have a sum of -33. What are the integers?
---
1st: x
2nd: x+1
3rd: x+2
----------
Equation:
x + x+1 + x+2 = -33
3x+3 = -33
3x = -36
x = -12
x+1 = -11
x+2 = -10
---------------------
Cheers,
Stan H.
|
Mixture_Word_Problems/335775: How many liters of a 60% alcohol solution must be mixed with 50 liters of a 90% solution to get a 70% solution?
1 solutions
Answer 240782 by stanbon(57974) on 2010-08-27 20:36:12 (Show Source):
You can put this solution on YOUR website!How many liters of a 60% alcohol solution must be mixed with 50 liters of a 90% solution to get a 70% solution?
--------------------------------------
Equation:
alcohol+ alcohol = alcohol
0.60x + 0.90*50 = 0.70(x+50)
Multiply thru by 100 to get:
60x + 90*50 = 70x + 70*50
------
-10x = -20*50
x = 100 liters (amt. of 60% solution needed in the mixture)
===========================
Cheers,
Stan H.
|
Probability-and-statistics/335773: It was reported that a certain population had a mean of 27. To test this claim, you selected a random sample of size 100. The computed sample mean and sample standard deviation were 25 and 7, respectively. At the 0.05 level of significance, you can claim that the average of this population is:
a. not equal to 25.
b. equal to 25.
c. not equal to 27.
d. equal to 27.
1 solutions
Answer 240780 by stanbon(57974) on 2010-08-27 20:28:30 (Show Source):
You can put this solution on YOUR website!It was reported that a certain population had a mean of 27. To test this claim, you selected a random sample of size 100. The computed sample mean and sample standard deviation were 25 and 7, respectively. At the 0.05 level of significance, you can claim that the average of this population is:
a. not equal to 25.
b. equal to 25.
c. not equal to 27.
d. equal to 27
-------------------------
----
t(25) = (25-27)/[7/sqrt(100)] = -2.8571
------
The critical values are +-invT(0.025 with df= 99) = -1.9842
----
Since the test stat is in the reject interval, reject Ho.
Ans: a
======================
Cheers,
stan H.
|
Polygons/335771: how many diagonals total could be drawn in aregular 100-gon
1 solutions
Answer 240779 by stanbon(57974) on 2010-08-27 20:19:27 (Show Source):
You can put this solution on YOUR website!how many diagonals total could be drawn in aregular 100-gon
---
The 100-gon has 100 vertices.
The # of connecting line segments is 100C2 = (100*99)/(1*2) = 50*99 = 4950
----------------------------
100 of those line segments are sides of the 100-gon.
The rest are diagonals.
-------------------------------
# of diagonals is 4950-100 = 4850
======================================
Cheers,
Stan H.
|
Quadratic_Equations/335768: solve
I could use some help with this problem please.
Thank you...
1 solutions
Answer 240778 by stanbon(57974) on 2010-08-27 20:14:15 (Show Source):
You can put this solution on YOUR website!2t(t+2)=1
2t^2+4t-1 = 0
------
Quadratic formula:
a = 2 ; b = 4 ; c = -1
---
t = [-b +- sqrt(b^2-4ac)]/(2a)
---------
t = [-4 +- sqrt(16-4*2*-1)]/(2*2)
---------
t = [-4 +- sqrt(16+8)]/4
---------
t = [-4 +- sqrt(24)]/4
---------
t = [-4 +- 2sqrt(6)]/4
---
t = [-2 +- sqrt(6)]/2
========================
Cheers,
Stan H.
|
Linear_Equations_And_Systems_Word_Problems/335765: I'm stuck on a problem I'm working on. The question is about an automobile with a 16L tank, which 30% is antifreeze. The problem asks how much needs to be taken out of the mixture and how much pure antifreeze must be added so the tank has 50% antifreeze. I know I need to use a system of equations but I'm stuck on what the equations are.
1 solutions
Answer 240777 by stanbon(57974) on 2010-08-27 20:02:56 (Show Source):
You can put this solution on YOUR website!The question is about an automobile with a 16L tank, which 30% is antifreeze. The problem asks how much needs to be taken out of the mixture and how much pure antifreeze must be added so the tank has 50% antifreeze.
-----------------------
Equation:
alcohol - alcohol + alcohol = alcohol
----------
0.30*16-0.30x+ 1.00x = 0.50*16
-----
Multiply thru by 100 to get:
30*16 - 30x + 100x = 50*16
70x = 20*16
x = (2/7)16
x = 4.57 liters (amt. of 30% liquid that must be replaced by 100% liquid)
============================================================================
Cheers,
Stan H.
================
|
Probability-and-statistics/335763: It was reported that a certain population had a mean of 27. To test this claim, you selected a random sample of size 100. The computed sample mean and sample standard deviation were 25 and 7, respectively. At the 0.05 level of significance, you can claim that the average of this population is:
1 solutions
Answer 240775 by stanbon(57974) on 2010-08-27 19:51:20 (Show Source):
|
Probability-and-statistics/335718: A corporation plans to fill 2 different posi-
tions, V1 and V2. The office in Austin has 14 senior workers,
while the one in Dallas has 15 senior workers.
In how many ways can the 2 positions be
filled if position V1 is filled from the Austin
office but position V2 is filled from the Dallas
office?
1 solutions
Answer 240774 by stanbon(57974) on 2010-08-27 19:49:36 (Show Source):
|
Probability-and-statistics/335737: You are a part of a group of 15 people. One person is selected at random. What is the percent probability that you will be chosen first?
1 solutions
Answer 240773 by stanbon(57974) on 2010-08-27 19:46:19 (Show Source):
You can put this solution on YOUR website!You are a part of a group of 15 people. One person is selected at random. What is the percent probability that you will be chosen first?
---------------
1/15 = 0.0667 = 6.67%
=========================
Cheers,
Stan H.
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Probability-and-statistics/335676: My Algebra I book has this question. I know how to solve it, but I want to understand WHY the formula works for finding probability. Here's the problem:
"When you play a game with number cubes, you can find probabilities by squaring a binomial. Let A represent rolling 1 or 2 and B represent rolling 2,3,4, or 6. The probability of A is 1/3 and the probability of B is 2/3. Find the solution: (1/3A + 2/3B)squared."
Again, I want to understand WHY the formula (1/3A + 2/3B)squared works for identifying probability. Thank you!!
1 solutions
Answer 240716 by stanbon(57974) on 2010-08-27 15:05:36 (Show Source):
You can put this solution on YOUR website!When you play a game with number cubes, you can find probabilities by squaring a binomial. Let A represent rolling 1 or 2 and B represent rolling 2,3,4, or 6. The probability of A is 1/3 and the probability of B is 2/3. Find the solution: (1/3A + 2/3B)squared."
Again, I want to understand WHY the formula (1/3A + 2/3B)squared works for identifying probability.
------------------------------
[(1/3)A + (2/3)B]^2
----
= [(1/3)A]^2 + 2[(1/3)A(2/3)B] + [(2/3)B]^2
--------------
= (1/9)A^2 + 2(1/3)(2/3)AB + (4/9)B^2
--------------
= (1/9)AA + 2(1/3)(2/3)AB + (4.9)BB
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This says you can get the event AA one way and the probability is (1/3)(1/3)
-------------------------
You can get the event AB or BA in two ways and the probability is (1/3)(2/3)
---------------------------
You can get the event BB in 1 way and the probability is (2/3)(2/3)
---------------------------------------
That perfectly describes all the possible results when you roll
a die twice and it shows you the probability of the different outcomes.
---------------------------------------
You ask why?
I don't think you can ask that of a mathematical model.
The only question you can ask is "How good is the model?"
In this case the model is perfect so it is used.
--------------------
Note ((1/3)A+(2/3)B)^n would show you all the results of rolling
your die n times and give you the probability of each result.
--------------------
This model was discovered by Blaise Pascal. The model he developed
is called "Pascal's Triangle"
====================================
Cheers,
Stan H.
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Probability-and-statistics/335693: a person takes a multiple choice test consisting of 6 questions with 4 choies for each question. what is the probability that the person will only get questions 2,3, and 5 correct?
1 solutions
Answer 240702 by stanbon(57974) on 2010-08-27 14:44:22 (Show Source):
You can put this solution on YOUR website!a person takes a multiple choice test consisting of 6 questions with 4 choies for each question. what is the probability that the person will only get questions 2,3, and 5 correct?
------------------------
(1/4)^3*(3/4)^3
---
= 27/4096
===============
Cheers,
Stan H.
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Polynomials-and-rational-expressions/335696: I am having a hard time figuring this word problem out. Can you please help.
Upstream, downstream. Junior’s boat will go 15 miles per
hour in still water. If he can go 12 miles downstream in the
same amount of time as it takes to go 9 miles upstream,
then what is the speed of the current?
1 solutions
Answer 240698 by stanbon(57974) on 2010-08-27 14:39:21 (Show Source):
You can put this solution on YOUR website!Junior’s boat will go 15 miles per hour in still water.
If he can go 12 miles downstream in the
same amount of time as it takes to go 9 miles upstream,
then what is the speed of the current?
---
Downstream DATA:
distance = 12 miles ; rate = 15+c mph ; time = d/r = 12/(15+c) hrs
--------------------
Upstream DATA:
distance = 9 miles ; rate = 15-c mph ; time = d/r = 9/(15-c) hrs
--------------------
Equation:
time up = time down
8/(15-c) = 12/(15+c)
9(15+c) = 12(15-c)
9*15+9c = 12*15-12c
21c = 3(15)
c = (1/7)15
c = 2.5 mph (speed of the current)
=======================================
Cheers,
Stan H.
===============
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Percentage-and-ratio-word-problems/335682: A car dealership advertises a 30% off sale on all cars in stock. If the sale price of a particular model is $12500, what is the regular price of the car?
1 solutions
Answer 240690 by stanbon(57974) on 2010-08-27 14:31:05 (Show Source):
You can put this solution on YOUR website!A car dealership advertises a 30% off sale on all cars in stock. If the sale price of a particular model is $12500, what is the regular price of the car?
---------------------
Let the regular price be "x":
-------------
Equation:
x - 0.30x = 12500
---
0.70x = 12500
x = $17.857.14
==================
Cheers,
Stan H.
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Quadratic_Equations/335690: I am looking at an example of a quadratic equation x^2 - 4x - 7 =0
using the quadratic formula I come up with 4 (+or-)(-4^2-4(1)(-7))/2 the instructor simplified this to x = 4(+or-)2(11^1/2) I don't see where the number 11 came from or how the 2 was pulled out of the square can someone explain. I will have a similar question to this according to the teacher in a quiz next week and I need to understand this. Thank-you.
1 solutions
Answer 240675 by stanbon(57974) on 2010-08-27 13:49:44 (Show Source):
You can put this solution on YOUR website!quadratic equation
x^2 - 4x - 7 =0
---------
a = 1 ; b = -4 ; c = -7
-------------
x = [-b +- sqrt(b^2-4ac)]/(2a)
-------------
x = [4 +- sqrt(16-4*1*-7)]/(2*1)
------
x = [4 +- sqrt(16+28)]/2
---
x = [4 +- sqrt(44)]/2
---
x = [4 +- sqrt(4*11)]/2
----\
x = [4 +- 2*sqrt(11)]/2
---
x = [2 +- sqrt(11)]
-----
x = 2+sqrt(11) or x = 2-sqrt(11)
==================================
Cheers,
Stan H.
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Numbers_Word_Problems/335688: A wire 180 centimeters long is to be cut into three pieces. The length of one piece is three times the length of the second. The length of the third piece is 12 centimeters shorter than twice the length of the second. Find the length of each piece. Thank you for your help!!!
1 solutions
Answer 240672 by stanbon(57974) on 2010-08-27 13:44:44 (Show Source):
You can put this solution on YOUR website!A wire 180 centimeters long is to be cut into three pieces. The length of one piece is three times the length of the second. The length of the third piece is 12 centimeters shorter than twice the length of the second. Find the length of each piece.
--------------
Equations:
x + y + z = 180 cm
x = 3y
z = 2y-12
-----------------
Substitute for "x" and for "z" and solve for "y":
3y + y + 2y-12 = 180
6y = 192
y = 32 cm (the 2nd piece)
x = 3y = 3*32 = 96 cm (1st piece)
z = 2y-12 = 2*32-12 = 52 cm (3rd piece)
======================================
Cheers,
Stan H.
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Miscellaneous_Word_Problems/335686: The length of a rectangular computer monitor is 6 inches less than twice its width. The perimeter of the face of the monitor is 36 inches. Find the length and width of the monitor. Thanks :)
1 solutions
Answer 240669 by stanbon(57974) on 2010-08-27 13:40:29 (Show Source):
You can put this solution on YOUR website! The length of a rectangular computer monitor is 6 inches less than twice its width. The perimeter of the face of the monitor is 36 inches. Find the length and width of the monitor.
-----------
Draw the picture and label the
width = x
length = 2w-6
---------------------
Equation:
Perimeter = 2(length + width)
36 = 2(2w-6+w)
18 = 3w-6
24= 3w
w = 8 inches (width)
length = 2x-6 = 2*8-6 = 10 inches
====================================
Cheers,
Stan H.
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Sequences-and-series/335634: Alfred is practicing typing. The first time he tested himself, he could type 23 words per minute. After practicing for a week, he could type 26 words per minute. After two weeks he could type 29 words per minute. Based on this pattern, predict how fast Alfred will be able to type after 4 weeks of practice
1 solutions
Answer 240662 by stanbon(57974) on 2010-08-27 13:19:40 (Show Source):
You can put this solution on YOUR website!Alfred is practicing typing. The first time he tested himself, he could type 23 words per minute. After practicing for a week, he could type 26 words per minute. After two weeks he could type 29 words per minute. Based on this pattern, predict how fast Alfred will be able to type after 4 weeks of practice
---------------------------
You have 3 points: (0,23) ; (1,26) ; (2,29)
-------------------------------
Notice that y increases 3 for every x-increase of 1; that is the slope;
Notice that y = 23 when x = 0 ; that is the y-intercept.
-------------------------------
f(x) = 3x+23
----
Therefore f(4) = 3*4 = 23 = 35
===============================
Cheers,
Stan H.
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absolute-value/335638: What is |6+3a|= 15 i need a solved
1 solutions
Answer 240645 by stanbon(57974) on 2010-08-27 11:47:41 (Show Source):
You can put this solution on YOUR website!What is |6+3a|= 15
-----
That "thing" inside the absolute value symbols
must be either +15 or -15.
--------------------------
Solve:
6+3a = 15 or 6+3a = -15
---
3a = 9 or 3a = -21
---
a = 3 or a = -7
===========================
Cheers,
Stan H.
===========================
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Probability-and-statistics/335567: The usual life of a computer terminal at a university computer center is known to be normally distributed with a mean of 3.25 years and a standard deviation of .5 years.
A. What proportion of computer terminals will have a useful life of at least 3 years?
B. Historically, 20% of the terminals have had a useful life less than the manufacture's advertised life. What is the manufacture's advertised life for the computer terminals?
1 solutions
Answer 240573 by stanbon(57974) on 2010-08-27 08:37:48 (Show Source):
You can put this solution on YOUR website! The usual life of a computer terminal at a university computer center is known to be normally distributed with a mean of 3.25 years and a standard deviation of .5 years.
A. What proportion of computer terminals will have a useful life of at least 3 years?
z(3) = (3-3.25)/0.5 = -1/2
----
P(x >= 3) = P(z > -1/2) = normalcdf(-1/2,1000) = 0.6915
------------------------------------------------------------------
B. Historically, 20% of the terminals have had a useful life less than the manufacture's advertised life. What is the manufacture's advertised life for the computer terminals
---
Draw a normal curve with u = 3.25
Find a point that has 20% of the population below 3.25
That point has a left-tail of 30%.
---
Find the z-value with a 30% left-tail.
invNorm(0.30) = -0.5244
--
Find the corresponding raw score value:
x = zs+u
x = -0.5244*0.5+3.25
x = 2.9878
====================
Cheers,
Stan H.
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test/335570: i need help on thos please !!
its open minded; think of a real world pattern. Describe the pattern using words and equation with two variables. Define the variable
1 solutions
Answer 240566 by stanbon(57974) on 2010-08-27 08:25:09 (Show Source):
You can put this solution on YOUR website!think of a real world pattern. Describe the pattern using words and equation with two variables. Define the variable
--------------
shirts cost $10 for the first and $8 for each additional one bought.
y = 8x+10
-------------------
pants cost $25 for the first pair and $20 for each additional pair bought.
y = 20x+25
-------------------
====================================================
Cheers,
Stan H.
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Polygons/335576: The measure of each interior angle of a regular polygon is 14 times the measure of an exterior angle. How many sides does the polygon have?
1 solutions
Answer 240561 by stanbon(57974) on 2010-08-27 08:16:09 (Show Source):
You can put this solution on YOUR website!The measure of each interior angle of a regular polygon is 14 times the measure of an exterior angle. How many sides does the polygon have?
----------------------
x + 14x = 180
15x = 180
x = 12 degrees (this is the exterior angle)
---------------------
Fact: The sum of all the exterior angles is 360 degrees.
---
# of exterior angles = 360/12 = 30
----
# of sides = # of exterior angles = 30
========================================
Cheers,
Stan H.
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Number-Line/335585: points S,T,and P lie on a number line . their coordinates are 0,1, and x respectively given SP= PT what is the value of x ?
1 solutions
Answer 240558 by stanbon(57974) on 2010-08-27 08:10:13 (Show Source):
You can put this solution on YOUR website!points S,T,and P lie on a number line . their coordinates are 0,1, and x respectively given SP= PT what is the value of x ?
--------------------
Draw the picture making sure SP = PT
Put at 0 at S
Put a 1 at T
---
Note: P is half-way between 0 and 1.
============
x = 1/2
==============
Cheers,
Stan H.
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Travel_Word_Problems/335581: Pony starts 3 hr before horse. Horse catches pony after 6 hrs. horse speed given find pony’s speed?
1 solutions
Answer 240557 by stanbon(57974) on 2010-08-27 08:07:31 (Show Source):
You can put this solution on YOUR website!Pony starts 3 hr before horse.
Horse DATA:
time = 6 ; rate = x mph ; distance = rt = 6x miles
------------------------
Pony DATA:
time = 9 ; rate = k mph ; distance = rt = 9k
-------------------------
Horse catches pony after 6 hrs.
If horse speed is given, find pony’s speed?
----
Equation:
distance horse = distance pony
6x = 9k
k = (2/3)x
---
Pony's speed is 2/3 Horse's speed.
======================================
Cheers,
Stan H.
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Angles/335586: The sum of the measure of two complementary angles exceeds the difference of their measures by 86 degrees . find the measure of each angle ?
1 solutions
Answer 240556 by stanbon(57974) on 2010-08-27 07:56:41 (Show Source):
You can put this solution on YOUR website! The sum of the measure of two complementary angles exceeds the difference of their measures by 86 degrees . find the measure of each angle ?
----------
Let one of the complementary angles be "x".
Then the other is "90-x".
--------------------------
Equation:
x + (90-x) = x-(90-x)+86
90 = x-90+x+86
180 = 2x+86
2x = 94
x = 47
90-x = 43
===============
Cheers,
Stan H.
===============
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