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15390..15419 , 15420..15449 , 15450..15479 , 15480..15509 , 15510..15539 , 15540..15569 , 15570..15599 , 15600..15629, >>NextEvaluation_Word_Problems/479146: A length equals x+5 inches a height equals x-5 and an area equal 56 square I need to find the length and height don't understand the steps help me please 1 solutions
Answer 328428 by ankor@dixie-net.com(15639) on 2011-08-08 15:24:31 (Show Source):
You can put this solution on YOUR website!A length equals x+5 inches a height equals x-5 and an area equal 56 square I need to find the length and height.
:
Area: L * W = 56 sq/inches, therefore
(x+5)(x-5) = 56
FOIL
x^2 - 5x + 5x - 25 = 56
Combine like terms
x^2 = 56 + 25
x^2 = 81
x = 
x = 9
therefore
9 + 5 = 14 in is the length
and
9 - 5 = 4 in is the height
:
:
Check this by finding the area using these values
14 * 4 = 56
|
Numbers_Word_Problems/478776: Find the 3 consecutive multiples of 5 so that the square of the third decreased by 5 times the second number is the same as 25 more than twice the product of the first two numbers. 1 solutions
Answer 328216 by ankor@dixie-net.com(15639) on 2011-08-07 19:30:41 (Show Source):
You can put this solution on YOUR website!Find the 3 consecutive multiples of 5
x, (x+5), (x+10)
:
"the square of the third decreased by 5 times the second number is the same as 25 more than twice the product of the first two numbers."
(x+10)^2 - 5(x+5) = 2x(x+5) + 25
x^2 + 20x + 100 - 5x - 25 = 2x^2 + 10x + 25
combine like terms
x^2 + 15x + 75 = 2x^2 + 10x + 25
Combine on the right
0 = 2x^2 - x^2 + 10x - 15x + 25 - 75
0 = x^2 - 5x - 50
Factors to
(x-10)(x+5) = 0
two solutions
x = 10, 15, 20 are the three numbers
and
x = -5, 0, 5 can be the three numbers also
:
You can check both of these in the original statemet
|
Quadratic_Equations/478865: Please help me.... the problem states determine the nature of solutions of the equation y^2=2/7y+1/7. Thanks!! 1 solutions
Answer 328188 by ankor@dixie-net.com(15639) on 2011-08-07 18:18:45 (Show Source):
You can put this solution on YOUR website!the problem states determine the nature of solutions of the equation y^2=2/7y+1/7.
Assume the problem is:

:
 = 0
from the sign of the 3rd term (-1/7) we know one solution will be negative and one solution will be positive
:
You can solve it using the quadratic formula, make the coefficients integers;
multiply by 7. Then a=7, b=-2, c=-1
|
Percentage-and-ratio-word-problems/478873: A contractor estimates that he can paint a house in 5 days by using 6 men. if he actully uses only 5 men for the job,how many days will they take to paint the house? 1 solutions
Answer 328179 by ankor@dixie-net.com(15639) on 2011-08-07 17:49:15 (Show Source):
You can put this solution on YOUR website!A contractor estimates that he can paint a house in 5 days by using 6 men.
if he actually uses only 5 men for the job,how many days will they take to paint the house?
:
Find how many man-days required to paint the house
5 * 6 = 30 man-days
:
Let d = no. of days required when 5 men are working
5d = 30
d = 
d = 6 days
|
Rectangles/478922: the area of a circle with radius r is equal to the area of a rectangle with base b. find the altitude of the rectangle in term of pi, r and b. 1 solutions
Answer 328159 by ankor@dixie-net.com(15639) on 2011-08-07 17:00:18 (Show Source):
You can put this solution on YOUR website!the area of a circle with radius r is equal to the area of a rectangle with base b. find the altitude of the rectangle in term of pi, r and b.
:
let a = the altitude of the rectangle
:
Rect area = circle area

divide both sides by b
a =
|
Equations/478840: My question is: Solve this equation algebraically
x^5=3x+2x^3y
and: Find all the solutions algebraically
1) Sqroot(x) − Sqroot(x − 5) = 1
2)3x(x-1)^(1/2)+2(x-1)^(1/2)=0
If you can please explain how to solve it for future reference. Thank You :) 1 solutions
Answer 328150 by ankor@dixie-net.com(15639) on 2011-08-07 16:27:39 (Show Source):
You can put this solution on YOUR website!Solve this equation algebraically
x^5 = 3x + 2x^3y
x^5 - 2x^3y = 3x
Factor out x^3
x^3(x^2 - 2y) = 3x
divide both sides by x
x^2(x^2 - 2y) = 3
x^2 - 2y = 
-2y =  - x^2
Divide both sides by -2
y =  + 
put over a single denominator
y = 
y = 
Solve for x
 = 0
Divide both sides by 2x^2
x^4 - 3 = 0
x^4 = 3
x = 3^(1/4)
x = +/- 1.316
:
:
Find all the solutions algebraically
1)  = 1
Rearrange this to

Square both sides
 = x - 5
FOIL the left side
x - 2(  + 1 = x - 5
-2(  = x -x - 5 - 1
-2(  = -6
Square both sides again
4x = 36
x = 
x = 9
Check this in the original equation
:
:
2)  =0
 = 
Square both sides
9x^2(x-1) = 4(x-1)
divide both sides by (x-1), leaving us with
9x^2 = 4
Find the square root of both sides
3x = 2
x =  , sadly, this will work in the original equation, no solution for x
|
Linear-equations/478819: Suppose that a market research company finds that at a price of p = $27, they would sell x = 27 tiles each month. If they lower the price to p = $17, then more people would purchase the tile, and they can expect to sell x = 37 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b.
I do not want someone to just answer the question for me, just showme how to start off. Thank you. 1 solutions
Answer 328107 by ankor@dixie-net.com(15639) on 2011-08-07 13:35:49 (Show Source):
You can put this solution on YOUR website!Suppose that a market research company finds that at a price of p = $27, they would sell x = 27 tiles each month.
If they lower the price to p = $17, then more people would purchase the tile, and they can expect to sell x = 37 tiles in a month’s time.
Find the equation of the line for the demand equation.
Write your answer in the form p = mx + b.
:
We will use the slope formula and the point/slope formula, but
instead of x & y, we will use x & p
Assign the given values as follows
x1 = 27; p1 = 27
x2 = 37; p2 = 17
Find the slope
m =  =  = -1 is the slope
Find the equation
p - 27 = -1(x - 27)
p - 27 = -x + 27
p = -x + 54 is the demand equation
:
I corrected a screw-up here, the final equation is right and unchanged, but
some mistakes in the slope equation were made, I am sorry if I confused you. C
:
|
Linear-equations/478719: The line y=0.12x+0.76 represents an estimate of the average cost of gasoline for each year. The line 0.11x-y=-0.85 estimates the price of gasoline in January of each year
a)Do you expect the lines to be intersecting, parallel, or perpendicular? Explain your reasoning.
b)Use the equations of the lines to determine if they are parallel. What did you find?
c)Did your answer to part b confirm your expectation in part a?
1 solutions
Answer 328095 by ankor@dixie-net.com(15639) on 2011-08-07 12:47:17 (Show Source):
You can put this solution on YOUR website!The line y=0.12x+0.76 represents an estimate of the average cost of gasoline for each year.
The line 0.11x-y=-0.85 estimates the price of gasoline in January of each year.
:
The first equation is in the slope/intercept form; y = mx + b
y = .12x + .76
Put the 2nd equation in the slope/intercept form also
.11x - y = -.085
.11x + .085 = y
or
y = .11x + .085
:
a)Do you expect the lines to be intersecting, parallel, or perpendicular? Explain your reasoning.
The slope of the first equation is .12; the 2nd equation is .11, therefore
they are not parallel, and will intersect
:
b)Use the equations of the lines to determine if they are parallel.
What did you find?
parallel lines have the same slope, these don't
:
c)Did your answer to part b confirm your expectation in part a?
|
Money_Word_Problems/478788: pls. help me solve this prob. tnx.
1. ana traveled at a constant speed of 60km/hr. she traveled 36 km in morning and 1/6 of the remaining jpurney in the afternoon. after that, she had of the journey left. find the total time she would take to complete the whole journey
1 solutions
Answer 328069 by ankor@dixie-net.com(15639) on 2011-08-07 11:30:22 (Show Source):
You can put this solution on YOUR website!1. ana traveled at a constant speed of 60km/hr.
she traveled 36 km in morning and 1/6 of the remaining journey in the afternoon.
after that, she had of the journey left. find the total time she would take to complete the whole journey
:
There is something missing here, "after that, she had ??? of the journey left."
|
percentage/478666: In a school, if 14% students fail, and pass student is 559...then find the no. of fail student 1 solutions
Answer 327973 by ankor@dixie-net.com(15639) on 2011-08-06 21:46:20 (Show Source):
You can put this solution on YOUR website!In a school, if 14% students fail, and pass student is 559...then find the no. of fail student
:
If 14% fail then 100 - 14 = 86% pass
:
Let x = total number of students
.86x = 559
x = 
x = 650 total students
:
Find the number that fail
.14 * 650 = 91 student fail
;
:
|
Volume/478655: Celine has a fish tank in the shape of a cube. If the volume of her fish tank is 1,000 cubic inches, what is the area of one of the sides of Celine's fish tank? 1 solutions
Answer 327970 by ankor@dixie-net.com(15639) on 2011-08-06 21:06:30 (Show Source):
You can put this solution on YOUR website!Celine has a fish tank in the shape of a cube.
If the volume of her fish tank is 1,000 cubic inches, what is the area of one of the sides of Celine's fish tank?
:
Let x = 1 side of the cube
we know
x^3 = 1000
therefore
x = 10
and
x^2 = area of one side
10^2 = 100 sq/in
|
Complex_Numbers/478652: Let x and y be integers. If (xy)/(x+y) = -1, what is the value of 2x + 3y + x/y to the nearest integer? choose the answer and explain the reason to choose your response
4
11
-9
Not enough information 1 solutions
Answer 327968 by ankor@dixie-net.com(15639) on 2011-08-06 20:58:43 (Show Source):
You can put this solution on YOUR website!Let x and y be integers. If (xy)/(x+y) = -1, what is the value of 2x + 3y + x/y to the nearest integer? choose the answer and explain the reason to choose your response
:
 = -1
xy = -1(x+y)
xy = -x - y
xy + x = -y
factor out x
x(y+1) = -y
x = 
Find a value for y which will give an integer value for x
The only value would be y = -2
x = 
x = 
x = -2
:
Evaluate 2x + 3y + x/y, when x=-2, y=-2
2(-2) + 3(-2) + 
-4 - 6 + 1 = -9
|
Probability-and-statistics/478649: Solve the system of equations by elimination.
2x − 9y = −79
9x + 2y = −58
x, y =
I need the process please! 1 solutions
Answer 327964 by ankor@dixie-net.com(15639) on 2011-08-06 19:33:31 (Show Source):
You can put this solution on YOUR website!2x − 9y = −79
9x + 2y = −58
:
We can use the elimination process here,
multiply the 1st equation by 2, multiply the 2nd equation by 9, results:
4x - 18y = -159
81x+ 18y = -522
------------------addition eliminates y,find x
85x = - 680
x = 
x = -8
:
Find y using substitution for x in the 2nd equation
9(-8) + 2y = -58
-72 + 2y = -58
2y = -58 + 72
2y = +14
y = +7
:
Check solutions in the 1st equation
2(-8) − 9(7) = −79
-16 - 63 = -79
|
Miscellaneous_Word_Problems/478562: A biologist has 500 cells in a culture at the start of an experiment. Hourly readings indicated that the number of cells is doubling every hour. How many cells are present at the end of 4 hours? At the end of how many hours are 32,000 cells present?
1 solutions
Answer 327961 by ankor@dixie-net.com(15639) on 2011-08-06 19:18:13 (Show Source):
You can put this solution on YOUR website!A biologist has 500 cells in a culture at the start of an experiment.
Hourly readings indicated that the number of cells is doubling every hour.
How many cells are present at the end of 4 hours?
:
the formula:
A = Ao*2^t
where
A = resulting amt after t hrs
Ao = initial amt
:
A = 500*2^4
A = 500 * 16
A = 8000 cells after 4 hrs
:
"At the end of how many hours are 32,000 cells present?"
500*2^t = 32000
2^t = 
2^t = 64
What power of 2 is 64, 2*2*2*2*2*2 = 64
t = 6 hrs
|
Polynomials-and-rational-expressions/478640: I am working on an equation that I am to answer in standard form. Ok I understand that. When I went to check my answer on an online problem solver the answer differs from what I got and I do not see why.
(6a^3+2a^2-7)+(2a^3-a+7)
here is what i did:
6a^3 + 2a^3 = 8a^3
2a^2 + (-a) = a
(-7) + 7 = 0
so my answer is 8a^3 +a
from problem solvers the answer is : 8a^3 +2a^2-a
which is correct? 1 solutions
Answer 327953 by ankor@dixie-net.com(15639) on 2011-08-06 19:02:03 (Show Source):
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Triangles/478573: Find the perimeter and area of a right triangle if one leg measures 14 mi. and the other leg measures 48 mi. Please show all work step by step please Include correct units with your solution and thank you 1 solutions
Answer 327949 by ankor@dixie-net.com(15639) on 2011-08-06 18:56:52 (Show Source):
You can put this solution on YOUR website!Find the perimeter and area of a right triangle if one leg measures 14 mi. and the other leg measures 48 mi.
:
Let h = the hypotenuse of the right triangle
:
Perimeter: P = 14 + 48 + h
Find h
h = 
h = 50
p = 14 + 48 + 50 = 112 mi
:
Area =  *14*48 = 336 sq/mi
|
Miscellaneous_Word_Problems/478617: A swimming pool 30 ft. long and 20 ft. wide has a cement walk of uniform width around it. If the area of the walk is the same as the area of the surface of the pool, how wide is the Walk?
I am having problems setting up the equation(s) to solve this as I am somewhat confused re. the information provided in the last sentence of the problem.
How can the the area of the walk be the same as the area of the the surface of the pool?
The mental image I have of this problem is the outer area of the walk is the 20 ft. by 30 ft. dimensions,then the inner dimensions(which are not given) are for the pool itself,separated by the width of the walk?
I have no idea how to set it up.
I tried using (30 - 2x)(20 - 2y)= 600
and got 2x^2 -100 xy + 2y^2= 3600
i don't think this is right.
so i tried:
2x + 2y =100 (perimeter)
xy = 600 (Area of outer area of the walk which I think,but am not sure is the 20 ft. by 30 ft.dimensions.
Please help me.
I appreciate any help given.
Despi 1 solutions
Answer 327948 by ankor@dixie-net.com(15639) on 2011-08-06 18:28:50 (Show Source):
You can put this solution on YOUR website!A swimming pool 30 ft. long and 20 ft. wide has a cement walk of uniform width around it.
If the area of the walk is the same as the area of the surface of the pool, how wide is the Walk?
:
Let x = the width of the walk
If the area of the pool and the walkway is the same, the overall area = 1200
:
the equation should be, (we don't need y)
(2x + 30)(2x + 20) = 1200
FOIL
4x^2 + 100x + 600 - 1200 = 0
4x^2 + 100x - 600 = 0
Simplify divide by 4
x^2 + 25x - 150 = 0
Factors to
(x + 30)(x - 5) = 0
the positive solution is all we want here
x = 5 ft is the width of the walkway
:
:
Check this by finding the overall area with 2x=10
40 * 30 = 1200, half is pool and half is walkway
:
You seemed to have the right idea, but were confused about the details. C
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test/478621: The volume of a cylindrical can is 251.2 Inches cubed. If the diameter is 8 inches, find the height using pi. 1 solutions
Answer 327942 by ankor@dixie-net.com(15639) on 2011-08-06 17:29:18 (Show Source):
You can put this solution on YOUR website!The volume of a cylindrical can is 251.2 Inches cubed.
If the diameter is 8 inches, find the height using pi.
:
r = 4 inches
The vol of a cylinder equation:  = v
 = 251.2
 = 251.2
h = 
h = 4.9974 inches
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Travel_Word_Problems/478622: 1. A plane travels from Orlando to Denver and back again. On the five-hour trip from Orlando to Denver, the plane has a tailwind of 40 miles per hour. On the return trip from Denver to Orlando, the plane faces a headwind of 40 miles per hour. This trip takes six hours. What is the speed of the airplane in still air?
Show full equation please, I'd like to fully understand it. 1 solutions
Answer 327938 by ankor@dixie-net.com(15639) on 2011-08-06 17:15:23 (Show Source):
You can put this solution on YOUR website!A plane travels from Orlando to Denver and back again.
On the five-hour trip from Orlando to Denver, the plane has a tailwind of 40 miles per hour.
On the return trip from Denver to Orlando, the plane faces a headwind of 40 miles per hour.
This trip takes six hours. What is the speed of the airplane in still air?
:
Let s = plane speed in still air
then
(s+40) = effective speed with the wind
and
(s-40) = effective speed against
:
The two trips are the same distance, write a distance equation Dist = speed * time
6(s-40) = 5(s+40)
6s - 240 = 5s + 200
6s - 5s = 200 + 240
s = 440 mph in still air
:
:
Check this by finding the actual distances, they should be the same
6*400 = 2400 mi
5*480 = 2400 mi
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Evaluation_Word_Problems/478242: PLEASE HELP ....... !
Geraldo's current salary is $40,000 per year. His annual pay raise is always a percent of his salary at the time. What would his salary be if he got four consecutive 4% increases? Round any decimals to the nearest cents. 1 solutions
Answer 327933 by ankor@dixie-net.com(15639) on 2011-08-06 17:07:46 (Show Source):
You can put this solution on YOUR website!Geraldo's current salary is $40,000 per year. His annual pay raise is always a percent of his salary at the time.
What would his salary be if he got four consecutive 4% increases?
Round any decimals to the nearest cents.
:
Use the formula: A = P* 
where
A = accumulated amt after t yrs
P = principal
r = interest rate in decimals
n = no. of compounding times per year
t = time in yrs
Since this is an annual raise, we can write it
A = 
A = 
A = 
using a calc we get
A = $46,794.34 after 4 yrs with an annual 4% raise
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Expressions-with-variables/478578: Hi, my name is Brandon Jones. I'm in the 12th grade and I'm taking AP Calculus. School just started for me on Thursday, 08/04/11 and I am a little rusty. I am having trouble with solving for indicated variables. Here's one of the problems and what I have so far:
V=2(ab+bc+ac); a (looking for a)....this is what I got so far:V=2ab+2bc+2ac, then I did: V-2bc=2ab+2ac.....I'm stuck.
It would be great if I can see the steps and understand what I'm doing. Thanks! 1 solutions
Answer 327895 by ankor@dixie-net.com(15639) on 2011-08-06 14:09:07 (Show Source):
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Rate-of-work-word-problems/478529: i'm having a hard time on solving this problem:
A group of workers can do a job in 8 days. After this group had worked in 3 days, another group had joined. Together they completed the job in three more days. How long could the second group have done the job alone?
please help me with this! 1 solutions
Answer 327893 by ankor@dixie-net.com(15639) on 2011-08-06 14:00:49 (Show Source):
You can put this solution on YOUR website!A group of workers can do a job in 8 days.
After this group had worked in 3 days, another group had joined.
Together they completed the job in three more days.
How long could the second group have done the job alone?
:
Let x = time required by the 2nd group to do the job
Let the completed job = 1
:
From the given information, we know that the 1st group worked 6 days & the 2nd group worked 3 days
:
A typical shared work equation, each group does a fraction of the job,
the two fractions add up to 1.
:
 +  = 1
multiply by 8x, results:
6x + 3(8) = 8x
24 = 8x - 6x
24 = 2x
x = 
x = 12 days for the 2nd group to do the job
:
:
See if this adds up:
6/8 + 3/12
3/4 + 1/4 = 1
:
:
Did this method make sense to you?
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Rate-of-work-word-problems/478507: a small pipe takes 4 more hours to fill a pool than a larger pipe. the 2 pipes were opened at the same time to fill a pool with water. after 3 hours, the larger pipe was closed. it took 2 more hours for a smaller pipe to complete filling up the pool. How many hours will be needed for each pipe to fill the pool alone? 1 solutions
Answer 327892 by ankor@dixie-net.com(15639) on 2011-08-06 13:49:13 (Show Source):
You can put this solution on YOUR website!a small pipe takes 4 more hours to fill a pool than a larger pipe.
the 2 pipes were opened at the same time to fill a pool with water.
after 3 hours, the larger pipe was closed. it took 2 more hours for a smaller pipe to complete filling up the pool.
How many hours will be needed for each pipe to fill the pool alone?
:
Let x = time required by the large pipe alone
then
(x+4) = time required by the small pipe
:
Let completed job = 1; (a full pool)
:
From the information given we know the large pipe was on for 3 hrs & the small pipe for 5 hrs
:
 +  = 1
multiply each side x(x+4), results
3(x+4) + 5x = x(x+4)
3x + 12 + 5x = x^2 + 4x
8x + 12 = x^2 + 4x
0 = x^2 + 4x - 8x - 12
A quadratic equation
x^2 - 4x - 12 = 0
Factors to
(x-6)(x+2) = 0
The positive solution
x = 6 hrs for large pipe to fill the pool alone
then
6 + 4 = 10 hrs for the small pipe to do it
:
:
See if this adds up
3/6 + 5/10 = 1
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Equations/477987: Please help me solve this equation: 11+4x=21-x
Thank-you so much! I am revising for a test and preferably need it to be done step by step! 1 solutions
Answer 327755 by ankor@dixie-net.com(15639) on 2011-08-05 19:25:38 (Show Source):
You can put this solution on YOUR website!solve this equation: 11+4x=21-x
perform the necessary steps to get the unknowns (x) on the left, numbers on the right
Subtract 11 from both sides
11 - 11 + 4x = 21 - x -11
4x = 10 - x
add x to both sides
4x + x = 10 - x + x
5x = 10
divide both sides by 5
1x = 
x = 2
:
:
Check solution in original equation
11 + 4(2) = 21 - 2
11 + 8 = 19; confirms our solution of x = 2
:
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Probability-and-statistics/478318: Please help? I don;t understand the process of this.
The following problem can be modeled with a linear equation. Analyze the problem and identify what quantities the variables x and y represent. The information provided in the problem is adequate to determine a point and a slope or two points on the line.
Robinson Wholesale Company paid $1380 for 500 items. Later they bought 800 items for $1710. Assume that the cost is a linear function of the number of items. Write the equation. (Let y represent the amount paid and x represent the number of items purchased.)
The answer is y = 1.1x + 830 I don't have a clue how to get this though.
???
1 solutions
Answer 327749 by ankor@dixie-net.com(15639) on 2011-08-05 18:47:06 (Show Source):
You can put this solution on YOUR website!Robinson Wholesale Company paid $1380 for 500 items.
Later they bought 800 items for $1710.
Assume that the cost is a linear function of the number of items.
Write the equation.
(Let y represent the amount paid and x represent the number of items purchased.)
:
Assign the xy values as follows
x1=500; y1=1380
x2=800; y2=1710
:
Find the slope using the equation; m= 
:
m = 
:
m =
m = 1.1 is the slope
:
Use the point/slope formula create the equation: y - y1 = m(x-x1)
y - 1380 = 1.1(x - 500)
y - 1380 = 1.1x - 550
y = 1.1x - 550 + 1380
y = 1.1x + 830
:'
Now do you see how they came up with this??
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Rectangles/478146: the length of rectangle B is 50% longer than the than the length of rectangle A and the width of rectangle B is 50% shorter than the width of rectangle A.what is the ratio between the area of rectangle B and the area of rectangle A?
1 solutions
Answer 327735 by ankor@dixie-net.com(15639) on 2011-08-05 17:29:05 (Show Source):
You can put this solution on YOUR website!the length of rectangle B is 50% longer than the than the length of rectangle A
and the width of rectangle B is 50% shorter than the width of rectangle A.
what is the ratio between the area of rectangle B and the area of rectangle A?
:
Let L = Length of A
Let W = Width of A
then
LW = area of A
and
1.5L = Length of B
.5W = Width of B
then
1.5L*.5W = .75LW, the area of B
:
Ratio: 
Cancel LW, make it into integers
 *  =  is A to B Ratio
4:3 is the area of B to A
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Numbers_Word_Problems/478173: I am 3-digit number.My ones digit is half my hundreds.Double my hundreds and you will get my tens. 1 solutions
Answer 327707 by ankor@dixie-net.com(15639) on 2011-08-05 15:38:07 (Show Source):
You can put this solution on YOUR website!I am 3-digit number.
a b c
:
"My ones digit is half my hundreds"
c =  a
c = .5a
:
"Double my hundreds and you will get my tens."
b = 2a
:
The number:
a b c
Substitute
a, 2a, .5a
We know:
a has to be an even number
a has to be less than 5
Two solutions
if a = 2
b = 2(2)
b = 4
:
c = .5(2)
c = 1
:
The number: 241
:
and
If a = 4
b = 2(4)
b = 8
:
c = .5(4)
c = 2
:
The number 482
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Numbers_Word_Problems/478182: I am a five digit number greater than 30 000 but less than 40 000.my ones digit is 4 more than my ten thousands digit. all my other digits are the same.the sum of my digits is 16. what number am I?
1 solutions
Answer 327703 by ankor@dixie-net.com(15639) on 2011-08-05 15:02:22 (Show Source):
You can put this solution on YOUR website!I am a five digit number greater than 30 000 but less than 40 000.my ones digit is 4 more than my ten thousands digit.
all my other digits are the same.the sum of my digits is 16. what number am I?
:
A five digits a b c d e
:
"greater than 30 000, less than 40,000 "
a = 3
:
"ones digit is 4 more than my ten thousands digit.
e = a + 4
e = 3 + 4
e = 7
:
"all my other digits are the same"
b = c
b = d
:
"the sum of my digits is 16"
a + b + c + d + e = 16
substitute
3 + b + b + b + 7 = 16
3b = 16 - 10
3b = 6
b = 2
:
The no: 32227
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Polynomials-and-rational-expressions/478230: Hi Everyone, I'm not sure if I posted this question in the Correct category but I am stuck on this word problem. If someone wouldn't mind helping me find the equation, it would be really appreciated! Thank you.
A "bullet" train set a new world record for train speed at 551 kilometers per hour during a manned test run on the Test Line in April 1999. The Test Line is 42.6 kilometers long. How many minutes would a test run on the Test Line last at this record-setting speed?
A test run would last #? minutes
(Do not round until the final answer. Then round to the nearest hundredth as needed.)
1 solutions
Answer 327674 by ankor@dixie-net.com(15639) on 2011-08-05 13:10:58 (Show Source):
You can put this solution on YOUR website!A "bullet" train set a new world record for train speed at 551 kilometers per hour during a manned test run on the Test Line in April 1999.
The Test Line is 42.6 kilometers long.
How many minutes would a test run on the Test Line last at this record-setting speed?
:
 * 60 = 4.6388 ~ 4.64 min
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Travel_Word_Problems/477121: Ok here is the problem.
An airplane flying at a rate of 500 miles per hour leaves Los Angeles.One-half hour later,a second airplane leaves Los Angeles in the same direction flying at a rate of 600 miles per hour.How long will it take the second airplane to overtake the first? 1 solutions
Answer 327178 by ankor@dixie-net.com(15639) on 2011-08-02 21:17:39 (Show Source):
You can put this solution on YOUR website!An airplane flying at a rate of 500 miles per hour leaves Los Angeles.
One-half hour later,a second airplane leaves Los Angeles in the same direction flying at a rate of 600 miles per hour.
How long will it take the second airplane to overtake the first?
:
Let t = the travel time of the 2nd airplane (faster)
then
(t+.5) = the travel time of the 1st airplane
:
When the 2nd plane catches up with the 1st they will have traveled the same distance.
Write dist equation: dist = speed * time
:
Fast plane dist = slower plane dist
600t = 500(t+.5)
600t = 500t + 250
600t - 500t = 250
100t = 250
t = 
t = 2.5 hrs for the faster plane to catch the slower
:
:
Confirm this by finding the dist each traveled, they should be equal
600*2.5 = 1500 mi
500(2.5+.5) = 1500 mi
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