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Recent problems solved by 'fanism'
fanism answered: 39 problems
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Miscellaneous_Word_Problems/34337: A mixture of 30 lbs. of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates worth 90¢ a pound. How many pounds of each kind were used to make the mixture?
1 solutions
Answer 20617 by fanism(39)   on 2006-04-20 11:49:15 (Show Source):
You can put this solution on YOUR website!let x be the chocolates worth $1.50 a pound
and let y be the chocolates worth 90¢ a pound.
1.5x + 0.9y = 30(1.1) -- eq1
x + y = 30 --> x = 30 - y -- eq2
sub eq2 into eq1, u get
1.5(30-y) + 0.9y = 33
12 = 0.6y
y = 20
put back into eq2,
x + 20 = 30
x = 10
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Probability-and-statistics/34262: If you roll a standard pair of dice, what is the probability you will roll the sume of 10?
1 solutions
Answer 20554 by fanism(39) on 2006-04-19 19:22:47 (Show Source):
You can put this solution on YOUR website!i think this is the approach,
to get a sum of 10, the results have to be
first = 4, second = 6
first = 5, second = 5
first = 6, and second = 4
to roll a 4 out of a dice, the probability is 1/6,
and so do getting a 5, or 6.
that means,
answer should be
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Equations/34273: HI - I can't seem to figure this one out:
The current cost of an item is $837, which is a 37% increase over the prior year's cost. What was the prior year's cost? I set up an equation:
(C+(C*37%)=837)
But, can't get the correct answer. By doing a guess and check, i know the answer is $610.95, but can't get there algebraically. HELP! And thanks!
1 solutions
Answer 20552 by fanism(39) on 2006-04-19 19:17:06 (Show Source):
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Miscellaneous_Word_Problems/34250: please help me solve this word problem. It is a PUZZLE WORD PROBLEM.
Mary is three years older than her twin brothers. Next year, the sum of the ages of the three will be exactly 102. How old are they now?
Anything about this problem would be helpful. Thanks =]
1 solutions
Answer 20549 by fanism(39) on 2006-04-19 19:01:56 (Show Source):
You can put this solution on YOUR website!let Mary be M years old and her brother be B years old
Mary is three years older than her twin brothers, therefore
M = 3 + B -- eq1
Next year, the sum of the ages of the three will be exactly 102.
Since each one of them will grow 1 year old, therefore,
102 = (M+1) + (B+1) + (B+1) -- eq2
Sub eq1 into eq2,
102 = (3+B+1) + (B+1) + (B+1)
102 = 3B + 6
96 = 3B
B = 32
Put B = 32 into eq1,
M = 3 + 32
M = 35
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Numbers_Word_Problems/34054: This question is from textbook college algebra
4)CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Brown came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Brown insisted on giving the man an award for his heroism.
So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one penny on the first square. Then place two pennies on the next square. Then place four pennies on the third square. Continue this until all 64 squares are covered with pennies.” As he’d been saving pennies for over 25 years, Mr. Brown did not consider this much of an award, but soon realized he made a miscalculation on the amount of money involved.
a)How much money would Mr. Brown have to put on the 32nd square?
Answer:
Show work in this space
b)How much would the traveling salesman receive if the checkerboard only had 32 squares?
Answer:
Show work in this space
c)Calculate the amount of money necessary to fill the whole checkerboard (64 squares). How much money would the farmer need to give the salesman?
Answer:
Show work in this space
1 solutions
Answer 20425 by fanism(39) on 2006-04-18 16:52:21 (Show Source):
You can put this solution on YOUR website!according to the question
"place one penny on the first square. Then place two pennies on the next square. Then place four pennies on the third square."
you will know the general equation is:
number of square = 2 ^ (number of square -1)
assume number of square = x
then, yields the equation
x = 2^(x-1)
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below shows verification:
if x = 1
1 = 2^(1-1) = 2^0 = 1
2 = 2^(2-1) = 2^1 = 2
3 = 2^(3-1) = 2^2 = 4
does this make sense? if yes, let's keep going
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a)How much money would Mr. Brown have to put on the 32nd square?
that means x = 32
x = 2^(x-1)
32 = 2^(32-1) = 2^31 = 2,147,483,648 pennies
b)How much would the traveling salesman receive if the checkerboard only had 32 squares?
= 2^31 + 2^30 + 2^29 + ...... + 2^0
use a calculator to calculate
c)Calculate the amount of money necessary to fill the whole checkerboard (64 squares). How much money would the farmer need to give the salesman?
= 2^63 + 2^62 + 2^61 + ...... + 2^0
use a calculator to calculate
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Numeric_Fractions/34067: x^3-27=(x-3)(x-3)(x-3)
Did I do the problem right? He wanted me to factor completely. If it is wrong, could you show me how to do the problem? Thank you.
1 solutions
Answer 20421 by fanism(39) on 2006-04-18 16:23:07 (Show Source):
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Numeric_Fractions/34066: (3x-2)^3=9x^2-6. Did I do this problem right? I just want to make sure before I hand it in. If not, could you show me what I did wrong? Thank you.
1 solutions
Answer 20419 by fanism(39) on 2006-04-18 16:11:20 (Show Source):
You can put this solution on YOUR website!you cannot simply cube each number seperatly...
(3x-2)^3
= (3x-2)(3x-2)(3x-2)
= (9x^2 - 12x + 4)(3x-2)
= 27x^3 - 54x^2 + 36x - 8
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Complex_Numbers/34064: Factor completely
10x^3-33x^2+27x
How do I factor completely?
I did it like this but don't think that I did it right
2*5*x*x*x
3*11*x*x
3*3*3*x
1 solutions
Answer 20418 by fanism(39) on 2006-04-18 16:01:51 (Show Source):
You can put this solution on YOUR website!first, you can see each number has a x, so this is the first step to factor
10x^3-33x^2+27x
x ( 10x^2 - 33x + 27)
x (2x - 3)(5x - 9)
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Numbers_Word_Problems/34061: The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 less than the original. Find the original number.
1 solutions
Answer 20414 by fanism(39) on 2006-04-18 15:47:09 (Show Source):
You can put this solution on YOUR website!assume the first digit is x and second digit is y
Since the sum of the digits of a two-digit number is 9, therefore
x + y = 9 -- eq1
it says if the digits are reversed, the new number is 27 less than the original.
since we are looking at the number like xy, to seperate them, it is actually 10x+y for x is a tens digit.
10y + x = 10x + y + 27
simplify it, u will get:
9y = 9x + 27
y = x + 3 -- eq2
sub eq2 into eq1, u will have
x + (x + 3) = 9
2x + 3 = 9
2x = 6
x = 3
put back into eq1,
3 + y = 9
y = 6
The original number is 36.
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Numeric_Fractions/33990: At a concert, orchestra seats sell for $15 each and balcony seats sell for $10 each. If 324 orchestra seats were sold and the box office collected $ 7540, how many balcony seats were sold?
1 solutions
Answer 20380 by fanism(39) on 2006-04-18 11:51:09 (Show Source):
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Numbers_Word_Problems/33959: directions:solve problems using two unknowns and asystem of two equations.
one number is 7 more than another number. the sum of these two numbers is 101. what are the numbers?
1 solutions
Answer 20355 by fanism(39) on 2006-04-18 01:23:13 (Show Source):
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Volume/33966: A box has a volume of 7500 cm3 and a surface area of 2600cm2. what are the length, width, and height of the box?
1 solutions
Answer 20354 by fanism(39) on 2006-04-18 01:20:33 (Show Source):
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Numbers_Word_Problems/33961: directions:solve problems using two unkowns and a system of two equations.
the diffrence of two numbers is -1. if twice the first number is added to three times the second number, the result is 13. what are the numbers
1 solutions
Answer 20352 by fanism(39) on 2006-04-18 01:09:59 (Show Source):
You can put this solution on YOUR website!let the first # be x and the second # be y
x - y = -1 -- eq 1
2x + 3y = 13 -- eq 2
multifply eq 1 by 2, yields
2x - 2y = -2 -- eq 3
now, take eq2 - eq3, u will get
0 - 5y = 15
y = -3
sub y = -3 into any of the above equation,
let use eq1, u will get
x - (-3) = -1
x + 3 = -1
x = -4
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Linear_Equations_And_Systems_Word_Problems/33972: A company's profit for the first half of the year is $2,750,000 greater than the profit for the second half. If the total annual profit is $3,635,000, find the profit for the first half year and the second half-year.
1 solutions
Answer 20351 by fanism(39) on 2006-04-18 01:06:34 (Show Source):
You can put this solution on YOUR website!assume the first half year's profit is $x and the second half is $y
therefore
x = y + 2750K -- equation 1
since total is 3635K. therefore
x + y = 3635K
solve for x and y, and u will get
x = 3192.5K = 3,192,500
y = 442.5K = 442,500
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Numbers_Word_Problems/33967: one man recieved 15% more than another man when they shared an inheritance of $4,300.00/ how much did each man receive?
1 solutions
Answer 20350 by fanism(39) on 2006-04-18 01:01:23 (Show Source):
You can put this solution on YOUR website!assume the first guy has $x, and second guy has $y, therefore
x = y (1 + 15%)
x = y (1.15) -- equation 1
the total amount of money is $4300. therefore
x + y = 4300 -- equation 2
solve both equations, and you will get
x = $2300 and y = $2000
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Graphs/33980: Graph the following linear equations and advise points:
3x-2y=12
and
y=2x+5
thanks!
1 solutions
Answer 20346 by fanism(39) on 2006-04-18 00:51:21 (Show Source):
You can put this solution on YOUR website!#1
3x-2y=12
u need to solve the equations to plot the graph.
all u need to do is to sub x=0 and find y and vice versa
the points to plot the graph are:
(0, 6), and (4, 0)
#2
(0, 5), and (-5/2, 0)
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Linear-equations/33938: Write each equation in slope-intercept form:
1. 10 - x - 2y = 0
2. y + 8 = -3/4 (x+1)
Determine the equation of each line (write in slope-intercept form)
3. The line through (8, 0) that is perpendicular to the line x + y = 3
4. The line through (0, 6) that is parallel to the line 3x + 5y = 15
1 solutions
Answer 20323 by fanism(39) on 2006-04-17 19:30:58 (Show Source):
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Circles/33826: Solve for all values of X.
(2x over x+3)+ (3 over x-3) = (8 over x squared - 9)
1 solutions
Answer 20321 by fanism(39) on 2006-04-17 19:26:45 (Show Source):
You can put this solution on YOUR website!(2x over x+3)+ (3 over x-3) = (8 over x squared - 9)
[2x(x-3) + 3(x+3)]/(x^2 -9 )= 8 / (x^2-9)
2x^2-6x+3x+9=8
2x^2-3x+9=8
2x^2-3x+1=8
(2x-1)(x-1)=0
solve x yourself
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