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Recent problems solved by 'stanbon'
stanbon answered: 57328 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, >>Next
Quadratic_Equations/273056: what are the factors of this equation
m^2 -14m +48
1 solutions
Answer 199534 by stanbon(57401)   on 2010-02-22 20:30:51 (Show Source):
You can put this solution on YOUR website!what are the factors of this equation
m^2 -14m +48
Think of two numbers whose product is 48 and whose sum is -14.
The numbers are -8 and -6.
---
Replace -14m by -8m-6m:
m^2 -8m-6m + 48 ---
Factor the 1st two and the last two terms separately:
m(m-8) -6(m-8)
(m-8)(m-6)
=================================
Cheers,
Stan H.
|
Exponential-and-logarithmic-functions/273049: A local hamburger shop sold a combined total of 494 hamburgers and cheeseburgers on Friday. There were 56 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday?
1 solutions
Answer 199532 by stanbon(57401) on 2010-02-22 20:24:43 (Show Source):
You can put this solution on YOUR website!A local hamburger shop sold a combined total of 494 hamburgers and cheeseburgers on Friday. There were 56 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday?
--------------------------
Equations:
h + c = 494
c = h-56
-----------------------------
Substitute for c and solve for "h":
h + h-56 = 494
2h = 550
h = 275 (# of hamburgers sold)
---------------
Since c = h-56, c = 219 (# of cheeseburgers sold)
=================================================
Cheers,
Stan H.
|
Travel_Word_Problems/273022: a car travels 60 meters in 15 seconds.what is its speed?
1 solutions
Answer 199529 by stanbon(57401) on 2010-02-22 19:41:08 (Show Source):
You can put this solution on YOUR website!a car travels 60 meters in 15 seconds.what is its speed?
---------------------
(60 meters/15 seconds) = (4meters/second)(1 km/1000 meters)(3600seconds/1 hr)
=(4*1*3600)/(1*1000*1)(km/hr)
=(4/3.6) km/hr
= 1.11 km/hr
=================
cheers,
Stan H.
|
Polynomials-and-rational-expressions/273021: How do I graph? I do not understand where or how to graph.
Solve the system of equation by graphing.
-3x = 5 - y
2y = 6x + 10
1 solutions
Answer 199527 by stanbon(57401) on 2010-02-22 19:34:49 (Show Source):
You can put this solution on YOUR website!Solve the system of equation by graphing.
-3x = 5 - y
2y = 6x + 10
--------------------------
solve each equation for "y":
y = 3x+5
y = 3x+5
--------------------------------
So the two equations are the same.
The solution for the system is the line itself.
---
=============================================
Cheers,
Stan H.
|
Linear-equations/273014: Can someone explain the steps to solve for y for graphing for linear equations? I am having trouble with the equation y = -1/2x -4. I can solve for y without any problem with the variables given for x, but for some reason I am not understanding how to solve for x when given the variable for y. For example, I know that y is -1 and that the answer is -6, but I cannot seem to get the correct answer on my own.
1 solutions
Answer 199524 by stanbon(57401) on 2010-02-22 19:26:32 (Show Source):
You can put this solution on YOUR website!Can someone explain the steps to solve for y for graphing for linear equations? I am having trouble with the equation y = -1/2x -4.
------
It is a linear equation. You need two points to obtain a graph.
---
Let x = 0, then y = (-1/2)*0-4, y = -4 giving you point (0,-4)
-----------------
Let x = 2, then y = (-1/2)*2-4, y = -1-4 = -5 giving you point (2,-5)
-------
Plot those two points and draw a line thru them to get:
---------------
I can solve for y without any problem with the variables given for x, but for some reason I am not understanding how to solve for x when given the variable for y. For example, I know that y is -1 and that the answer is -6, but I cannot seem to get the correct answer on my own.
y = (-1/2)x-4
Solve for "x":
2y = -x - 8
x = -2y-8
If you let y = -1, x= -2*-1-8 = 2-8 = -6
If you let y = 5, x = -2*5-8 = -18
---
Cheers,
Stan H.
|
Quadratic_Equations/273005: How do I find a root of the equation 2x^2-x-15=0
ALSO
How do I find the x coordinate of the vertex for the quadratic equation x^2+6x+5=0
Thanks(:
1 solutions
Answer 199518 by stanbon(57401) on 2010-02-22 19:14:25 (Show Source):
You can put this solution on YOUR website!How do I find a root of the equation 2x^2-x-15=0
Think of two numbers whose product is -15*2 = -30
and whose sum is -1
The numbers are -6 and +5
Replace -x by -6x+5x and factor:
---
2x^2 -6x + 5x - 15 = 0
2x(x-3) + 5(x-3) = 0
(x-3)(2x+5) = 0
x = 3 or x = -5/2
=====================================
ALSO
How do I find the x coordinate of the vertex for the quadratic equation x^2+6x+5=0
The x-value of the vertex is -b/2a = -6/(2*1) = -3
====================================================
Cheers,
Stan H.
|
Probability-and-statistics/273001: The deck is 2 regular decks of cards plus 4 jokers for a total of 108 cards. and with out replacement
What is the probability of drawing two sevens and two queens in succession??
1 solutions
Answer 199508 by stanbon(57401) on 2010-02-22 19:01:36 (Show Source):
You can put this solution on YOUR website!The deck is 2 regular decks of cards plus 4 jokers for a total of 108 cards. Without replacement:
What is the probability of drawing two sevens and two queens in succession??
P(7 and 7 and queen and queen) = (8/108)(7/107)(8/106)(7/105)
=================================================================
Cheers,
stan H.
|
Linear_Equations_And_Systems_Word_Problems/272987: For Monday morning's staff meeting, Jim bought 2 bags of bagels and 3 packages of cream cheese and paid $12.00 (excluding sales tax). For Friday's meeting, he bought 4 bags of bagels and 2 packages of cream cheese and paid $14.00 (again, excluding sales tax). How much do bags of bagels and packages of cream cheese cost?
1 solutions
Answer 199504 by stanbon(57401) on 2010-02-22 18:51:45 (Show Source):
You can put this solution on YOUR website!For Monday morning's staff meeting, Jim bought 2 bags of bagels and 3 packages of cream cheese and paid $12.00 (excluding sales tax). For Friday's meeting, he bought 4 bags of bagels and 2 packages of cream cheese and paid $14.00 (again, excluding sales tax). How much do bags of bagels and packages of cream cheese cost?
-------------------------
Equations:
2b + 3p = 12
4b + 2p = 14
----------------------
Multiply thru the 1st equation by 2 to get:
4b + 6p = 24
---
Subtract that equation from the 2nd equation:
-4p = -10
p = 5/2 = $2.50 (price of a package of cream cheese)
---------------------
Substitute into 2b + 3p = 12 to solve for "b":
2b + 3(5/2) = 12
2b + (15/2) = 24/2
2b = 9/2
b = 9/4 = $2.12 (price of a bag of bagels)
=========
Cheers,
Stan H.
|
Probability-and-statistics/272963: Of 1937 people who came into a blod bank to give blood, 679 had high blood pressure. Estimate the probability that the next person who comes in will also have high blood pressure.
1 solutions
Answer 199489 by stanbon(57401) on 2010-02-22 18:14:05 (Show Source):
You can put this solution on YOUR website!Of 1937 people who came into a blod bank to give blood, 679 had high blood pressure. Estimate the probability that the next person who comes in will also have high blood pressure.
------------------------
Ans: 679/1937
==================
Cheers,
Stan H.
|
Probability-and-statistics/272951: A postal carrier distributes letters, ads, and magazines. The break donw of deliveries is:
Delivered to / Letter / Ads / Magazines
Homes /775 / 880 /270
Business /485 /417 /180
Questions
A What is the probability that it was an ad?
B What is the probability that it was and ad delivered to a home?
C What is the probability that it was an add or it was delivered to a home?
1 solutions
Answer 199485 by stanbon(57401) on 2010-02-22 18:04:25 (Show Source):
You can put this solution on YOUR website!A postal carrier distributes letters, ads, and magazines. The break down of deliveries is:
Delivered to / Letter / Ads / Magazines /Total
Homes /775 / 880 /270 /1925
Business /485 /417 /180 /1082
Total /1260 /1297 /450 /3007
---------------------------------------------
Questions
A What is the probability that it was an ad? = 1297/3007
-------------------------------------------------------------
B What is the probability that it was an ad delivered to a home? = 880/3007
-------------------------------------------------------------
C What is the probability that it was an ad or it was delivered to a home?
= P(ad)+P(home)-P(ad and home) = (1297+1925-880)/3007 = 2342/3007
=======================================
Cheers,
Stan H.
|
Quadratic_Equations/272938: Please help me solve this equation: 
I need to find the x intercept and the y intercept and also the vertex. I am struggling mostly with finding the x intercept.
1 solutions
Answer 199482 by stanbon(57401) on 2010-02-22 17:49:39 (Show Source):
You can put this solution on YOUR website!Please help me solve this equation:
I need to find the x intercept and the y intercept and also the vertex. I am struggling mostly with finding the x intercept.
-----------------------------------------------------
To find the x-intercept let y = 0 and solve for "x":
----
x^2-4 = 0
(x-2)(x+2) = 0
x = 2 or x=-2 (these are the x-intercepts.
--------------------------------------------
Vertex ?
You have a quadratic with a = 1, b = 0, c = -4
The vertex occurs at x = -b/2a = -0/2 = 0.
When x = 0, y = 0^2-4 = -4
---
Vertex: (0,-4)
================================
Cheers,
Stan H.
|
Probability-and-statistics/272788: Categorize each mathematical statement as either always true or never true.
Select your answer from the pull-down list.
2x + 1 = 2x – 1 =not true
1 – 1/x = 1 + x =Always True
(a – b)c = ac – bc =not true
Are my answers correct and if not why?
1 solutions
Answer 199417 by stanbon(57401) on 2010-02-22 15:11:35 (Show Source):
You can put this solution on YOUR website!2x + 1 = 2x – 1 =not true
Correct
-----------------------------------
1 – 1/x = 1 + x =Always True
True when x = -1/x
x^2 = -1
x = +/-i
Conclusion: Never True
-----------------------------------
(a – b)c = ac – bc =not true
This is the distributive law for Real Numbers
Always true
===============
Cheers,
Stan H.
|
Quadratic_Equations/272711: If k is the constant in the expression x^2 – x + k and the expression has a
value of 0 when 3 is substituted for x, what is the value of the expression when 2 is substituted for x?
(A) -4 (B) -2 (C) 6 (D) 8 (E) Cannot be found.
1 solutions
Answer 199397 by stanbon(57401) on 2010-02-22 08:01:58 (Show Source):
You can put this solution on YOUR website!If k is the constant in the expression x^2 – x + k and the expression has a
value of 0 when 3 is substituted for x, what is the value of the expression when 2 is substituted for x?
----------------------------------------
Find K
3^2 - 3 + k = 0
9-3 + k = 0
6+k = 0
k = -6
--------
Let x = 2
x^2 - x -6 = ?
2^2-2-6 = ?
? = -4
====================
Ans: -4
====================
Cheers,
Stan H.
(A) -4 (B) -2 (C) 6 (D) 8 (E) Cannot be found.
|
Probability-and-statistics/272538: A random sample of 420 new hybrid vehicles showed that 105 required repairs within the first warranty year. Wha is the probability that a new hybrid vehicle will need repairs within the first warranty year?
1 solutions
Answer 199396 by stanbon(57401) on 2010-02-22 07:55:23 (Show Source):
You can put this solution on YOUR website!A random sample of 420 new hybrid vehicles showed that 105 required repairs within the first warranty year. What is the probability that a new hybrid vehicle will need repairs within the first warranty year?
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Ans: 105/420 = 0.25 = 1/4
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Cheers,
Stan H.
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Miscellaneous_Word_Problems/272707: Find the image of (-6,-2) after a reflection in the point (-3,1).
1 solutions
Answer 199395 by stanbon(57401) on 2010-02-22 07:47:32 (Show Source):
You can put this solution on YOUR website!Find the image of (-6,-2) after a reflection in the point (-3,1).
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Let the image point be (x,y)
Then (-3,1) will be the mid-point between (-6,-2) and (x,y).
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Equations:
(x-6)/2 = -3
x-6 = -6
x = 0
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(y-2)/2 = 1
y-2 = 2
y = 4
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The image point is (0,4)
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Cheers,
Stan H.
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Proportions/272699: An image of a building in a photograph is 6 centimeters wide and 11 centimeters tall. If the image is similar to the actual building and the actual building is 174 meters wide, how tall is the actual building, in meters?
1 solutions
Answer 199393 by stanbon(57401) on 2010-02-22 07:34:41 (Show Source):
You can put this solution on YOUR website!An image of a building in a photograph is 6 centimeters wide and 11 centimeters tall. If the image is similar to the actual building and the actual building is 174 meters wide, how tall is the actual building, in meters?
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x/174 = 11/6
x = (174)(11/6)
x = 319 meters high
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Cheers,
Stan H.
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Linear_Equations_And_Systems_Word_Problems/272702: THE PRODUCT OF THREE NUMBERS IS 945. THE FIRST NUMBER IS 60% OF SECOND NUMBER AND THE THIRD NUMBER IS 7. WHAT IS SECOND NUMBER?
1 solutions
Answer 199391 by stanbon(57401) on 2010-02-22 07:14:21 (Show Source):
You can put this solution on YOUR website!THE PRODUCT OF THREE NUMBERS IS 945. THE FIRST NUMBER IS 60% OF SECOND NUMBER AND THE THIRD NUMBER IS 7. WHAT IS SECOND NUMBER?
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3rd = 7
Let 2nd = 10x
Then 1st = 6x
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Equation:
10x*6x*7 = 945
420x^2 = 945
x^2 = 9/4
x = 3/2
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1st = 6(3/2) = 9
2nd = 10(3/2) = 15
3rd = 7
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Cheers,
Stan H.
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Miscellaneous_Word_Problems/272703: The length of a rectangular parking lot is 10 yards less than twice its width. If the perimeter of the lot is 400 yards, what are the lot's dimension?
1 solutions
Answer 199390 by stanbon(57401) on 2010-02-22 07:08:40 (Show Source):
You can put this solution on YOUR website!The length of a rectangular parking lot is 10 yards less than twice its width. If the perimeter of the lot is 400 yards, what are the lot's dimension?
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Perimeter = 2(Length + Width)
L = 2W-10
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400 = 2(2W-10+W)
200 = 3W-10)
3W = 210
W = 70 yds
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L = 2W-10 = 140-10 = 130
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Cheers,
Stan H.
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Numbers_Word_Problems/272701: The units digit of a two-digit number exceeds the tens digit by 2. Find the number if it is 4 times the sum of it digits.
1 solutions
Answer 199389 by stanbon(57401) on 2010-02-22 07:05:30 (Show Source):
You can put this solution on YOUR website!The units digit of a two-digit number exceeds the tens digit by 2. Find the number if it is 4 times the sum of it digits.
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Let the number be 10t+u where t is the tens and u is the units digit.
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Equations:
u = t+2
10t+u = 4(t+u)
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Simplify the 2nd equation:
6t = 3u
u = 2t
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Then t+2 = 2t
t = 2
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Since u = t+2, u = 4
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The number is 24
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Cheers,
Stan H.
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real-numbers/272618: Find the median of the list of numbers. 34, 12, 15, 28, 32, 30, 35
1 solutions
Answer 199361 by stanbon(57401) on 2010-02-21 22:45:21 (Show Source):
You can put this solution on YOUR website!Find the median of the list of numbers. 34, 12, 15, 28, 32, 30, 35
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Arrange them in order.
The median is the middle number.
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Cheers,
Stan H.
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Probability-and-statistics/272617: There are 244 Gold medal winners of which 35 are from the US. Choosing 1 at random what is the probability that he would be from the US
1 solutions
Answer 199360 by stanbon(57401) on 2010-02-21 22:42:51 (Show Source):
You can put this solution on YOUR website!There are 244 Gold medal winners of which 35 are from the US. Choosing 1 at random what is the probability that he would be from the US
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Prob. = 35/244
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Cheers,
Stan H.
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