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josmiceli answered: 9667 problems
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test/430961: which 3 consecutive numbers have a sum of 720
1 solutions

Answer 299207 by josmiceli(9669) About Me  on 2011-04-04 11:46:52 (Show Source):
You can put this solution on YOUR website!
Let the numbers be n, n%2B1, and n%2B2
+n+%2B+n+%2B+1+%2B+n+%2B+2+=+720+
+3n+%2B+3+=+720+
+3n+=+717+
+n+=+239+
+n+%2B+1+=+240+
+n+%2B+2+=+241+
The numbers are 239,240, and 241


Parallelograms/430960: A parrallelogram has an area of 52 centimeters and its base is 2h+5. What is the hight. Please
1 solutions

Answer 299205 by josmiceli(9669) About Me  on 2011-04-04 11:41:56 (Show Source):
You can put this solution on YOUR website!
Call the height x
given:
+x%2A%282h+%2B+5%29+=+52+
+x+=+52+%2F+%282h+%2B+5%29+


Volume/430958: A candy company makes decorative cylinder-shaped canisters and fills them with red hot candies. They want to make 600 canisters and need to determine how much candy to buy. If the canisters are 6 inches in diameter and 5 inches tall, what is the total number of cubic inches that will be filled with candy? (don't forget the units that go with the answer)
1 solutions

Answer 299203 by josmiceli(9669) About Me  on 2011-04-04 11:37:14 (Show Source):
You can put this solution on YOUR website!
The area of the base is
+A+=+pi%2Ar%5E2+
+A+=+pi%2A%28d%2F2%29%5E2+
+A+=+pi%2A%286%2F2%29%5E2+
+A+=+9%2Api+
+A+=+28.274+ in2
The volume of each canister is
+V+=+5%2A28.274+
+V+=+141.372+ in3
The volume contained in 600 canisters is
+600+ canisters x +141.372+ in3/canister = +84823+ in3


Numbers_Word_Problems/430951: the difference of two consecutive odd integers are 64. what are the numbers?
1 solutions

Answer 299198 by josmiceli(9669) About Me  on 2011-04-04 11:25:21 (Show Source):
You can put this solution on YOUR website!
The difference of 2 consecutive odd integers
can't be 64. The difference is always 2
113 - 111 = 2
1079 - 1077 = 2
etc.









Sequences-and-series/430945: (n+2)!/(n)!
1 solutions

Answer 299196 by josmiceli(9669) About Me  on 2011-04-04 11:17:49 (Show Source):


Finance/430950: How would I solve the problem for x? 1.10/x-.10=22 Thanks!
1 solutions

Answer 299193 by josmiceli(9669) About Me  on 2011-04-04 11:12:03 (Show Source):
You can put this solution on YOUR website!
+1.1+%2F+x+-+.1+=+22+
Multiply both sides by x
+1.1+-+.1x+=+22x+
Add .1x to both sides
+1.1+=+22.1x+
+x+=+.04977+


Polynomials-and-rational-expressions/430943: The problem: one-half of a number is 25 more than one-third of the same number. I got 150 but i need to show a check on it and don't know how
1 solutions

Answer 299192 by josmiceli(9669) About Me  on 2011-04-04 11:05:39 (Show Source):
You can put this solution on YOUR website!
+%281%2F2%29%2Ax+=+%281%2F3%29%2Ax+%2B+25+
Multiply both sides by 6
+3x+=+2x+%2B+150+
+x+=+150+
I'm not sure what kind of check is needed, but
+%281%2F2%29%2Ax+-+%281%2F3%29%2Ax+=+25+
+%281%2F2%29%2A150+-+%281%2F3%29%2A150+=+25+
+75+-+50+=+25+
+2+=+25+
OK


Graphs/430925: Solve each system by any method. show work or grapg.
Y=2x-6
Y=-2x+2
1 solutions

Answer 299173 by josmiceli(9669) About Me  on 2011-04-04 09:51:07 (Show Source):
You can put this solution on YOUR website!
(1) +y+=+2x+-+6+
(2) +y+=+-2x+%2B+2+
Add the equations
+2y+=+-4+
divide both sides by 2
+y+=+-2+
Now plug this result back into either (1) or (2)
(1) +-2+=+2x+-+6+
Add 6 to both sides
+4+=+2x+
Divide both sides by 2
+x+=+2+
The solution is (2,-2). Here' the plot:
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C++2x+-+6%2C+-2x+%2B+2%29+


Travel_Word_Problems/430919: the average speed of a car is 108 km/hr. How many meters can the car travelin 3 minutes?
1 solutions

Answer 299172 by josmiceli(9669) About Me  on 2011-04-04 09:40:46 (Show Source):
You can put this solution on YOUR website!
+108+ km/hr x +1000+ m/km x +1%2F60+ hr/min x 3 min = 5400 m


Age_Word_Problems/430920: A father is 36 years old, and hi son is 6 years old. In how many years' time will the father be twice as old as his son?
1 solutions

Answer 299170 by josmiceli(9669) About Me  on 2011-04-04 09:29:23 (Show Source):
You can put this solution on YOUR website!
Let x = years from now when father is twice
as old as his son
36+%2B+x+=+2%2A%286+%2B+x%29+
+36+%2B+x+=12+%2B+2x+
+x+=+24+
In 24 years from now the father will be twice
as old as his son


Probability-and-statistics/430923: Assume that 40% of the population are right-handed and the remainder are left-handed(there are not ambidextrous individuals). If you stop the next 6 persons you meet, what is the probability that( for the purpose of this problem assume indepencence in the selection of the indivduals):
All will be left-handed? 4.7%
1 solutions

Answer 299169 by josmiceli(9669) About Me  on 2011-04-04 09:23:31 (Show Source):
You can put this solution on YOUR website!
For each of the 6 persons, 6%2F10 will be left-handed on average.
If you want all 6 to be left-handed, multiply the probabilities
+P+=+%286%2F10%29%5E6+
+P+=+4.67%2F100+
4.7%


Circles/430893: Pie Chart percentage question.Thank you for taking the time to answer this question.There are 130 students. 68 like chocolate ice cream. 52 like Vanilla. I want to know what percentage like each flavor. I thought 68/130=52% and 52/130=40%
Why doesn't the total = 100%? The answer should be 57% chocolate and 43% vanilla??? How is that done? and what did I do wrong???? Thank you so much for your time and more important your knowledge.
1 solutions

Answer 299168 by josmiceli(9669) About Me  on 2011-04-04 09:08:01 (Show Source):
You can put this solution on YOUR website!
Since 68+%2B+52+=+120, they either didn't poll
all the students, or the other 10 students didn't
like either flavor.
If you take +x%2F100+=+68%2F120,
x+=+56.67, and take x%2F100+=+52%2F120
x+=+43.33
But then the question must be "Of the students who were able
to answer the question, what percent liked each flavor?


Quadratic-relations-and-conic-sections/430913: y2= -2x+12
Is this a parabola, ellipses or hyperbola
1 solutions

Answer 299166 by josmiceli(9669) About Me  on 2011-04-04 08:49:26 (Show Source):
You can put this solution on YOUR website!
It's a parabola. Here's the plot


Volume/430914: A room is 314 square feet, what size rug should i get
1 solutions

Answer 299165 by josmiceli(9669) About Me  on 2011-04-04 08:37:52 (Show Source):
You can put this solution on YOUR website!
You have to know the shape of the room.
Is it square? If so, each side of the rug is
sqrt%28+314+%29 ft long, or 17.72 x 17.72


Distributive-associative-commutative-properties/430697: How can I solve x^2-12x=-36 by factoring?
So far This is the work I have accomplished:
X^2-12x=-36. Stating the original problem
X^2-12x+36=0 Add 36 to each side
(x-6)(x-6). Factoring
But then I get confused.
Can you help?
1 solutions

Answer 299053 by josmiceli(9669) About Me  on 2011-04-03 19:17:09 (Show Source):
You can put this solution on YOUR website!
You solved it
x%5E2-12x%2B36=0
(1) +%28x+-+6%29%5E2+=+0+
This is called a double root.
The graph touches the x-axis in one place
What value of x makes (1) true?
x+=+6 makes it true. That's the solution.
Here's the graph:
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2+-+12x+%2B+36%29+


Numbers_Word_Problems/430696: the sum of two consecutive odd integers is 24. which equation can be used to find the first integer n?
n+1=24
n+2=24
2n+1=24
2n+2=24
1 solutions

Answer 299050 by josmiceli(9669) About Me  on 2011-04-03 19:10:27 (Show Source):
You can put this solution on YOUR website!
Call the smaller number n
The next higher odd number is +n+%2B+2+
given:
+n+%2B+n+%2B+2+=+24+
+2n+%2B+2+=+24+
answer


Mixture_Word_Problems/430647: Gina has a pile of 50 dimes and nickels worth $4.30. How many coins of each type does she have?
1 solutions

Answer 299041 by josmiceli(9669) About Me  on 2011-04-03 17:48:31 (Show Source):
You can put this solution on YOUR website!
She can't have an odd number of nickels, since
that would give her a 5 in the units position,
like $4.35.
---------------------------
She can't have all dimes, since that would equal
$5.00, which is $.70 too much
---------------------------
Suppose she had 40 dimes, making $4.00.
She needs $.30, which is 6 nickels.
46 coins isn't enough.
---------------------------
If she has 30 dimes, that's $3.00, and
$1.30 must be made up with nickels.
That's 26 nickels, and 30 + 26 = 56,
which is too much
---------------------------
36 dimes = $3.60, leaving $.70 woth of
nickels, or 14 nickels, and 14 + 36 = 50
---------------------------
She has 36 dimes and and 14 nickels


logarithm/430342: convert to exponential form log x = 8
1 solutions

Answer 298870 by josmiceli(9669) About Me  on 2011-04-02 20:58:20 (Show Source):


Quadratic_Equations/430055: One concert ticket costs $90. For each addl ticket sold to the group, the price of all tickets is reduced by $3. So 2 tickets costs 2x84 = $174, etc. Write a quadratic function that gives the total cost, C, of buying x tickets.
1 solutions

Answer 298635 by josmiceli(9669) About Me  on 2011-04-01 17:56:48 (Show Source):
You can put this solution on YOUR website!
In words:
Cost = ( cost of 1 ticket minus [$3 x (extra tickets)] x total number of tickets
+C+=+%2890+-+3%2A%28x-1%29%29%2Ax+
+C+=+%2890+-+3x+%2B+3%29%2Ax+
+C+=+90x+-+3x%5E2+%2B+3x+
+C+=+-3x%5E2+%2B+93x+
check answer:
For 2 tickets:
+C+=+-3%2A4+%2B+93%2A2+
+C+=+-12+%2B+186+
+C+=+174+
OK
Notice that for 30 tickets, The total cost is only $90


Finance/430026: A little help please!?
How much do you have to invest today at 5% interest if you want to have $18,000 in 6 months?
1 solutions

Answer 298629 by josmiceli(9669) About Me  on 2011-04-01 16:13:27 (Show Source):
You can put this solution on YOUR website!
This is a "simple interest" problem
Let A = amount to invest @ 5% yearly interest
+18000+=++A+%2B+A%2A%281%2F2%29%2A.05+
+18000+=+A%2A%281+%2B+.025%29+
+A+=+18000%2F1.025+
+A+=+17560.98+
Hopefully this is right- I'd
try a 2nd opinion, too.


Radicals/430024: I need to solve this equation algebraically
sqrt (x+1)= cube root (4x-4)
1 solutions

Answer 298628 by josmiceli(9669) About Me  on 2011-04-01 15:58:52 (Show Source):
You can put this solution on YOUR website!
+sqrt%28x%2B1%29+=+root%283%2C4x-4%29+Raise each sides to the 6th power
+%28sqrt%28x+%2B+1%29%29%5E6+=+%28root%283%2C4x-4%29%29%5E6+
+%28x+%2B+1%29%5E3+=+%284x-4%29%5E2+
+x%5E3+%2B+3x%5E2+%2B+3x+%2B+1+=+16x%5E2+-+32x+%2B+16+
+x%5E3+-+13x%5E2+%2B+35x+-+15+=+0+
This has me stumped.
I can say +%28+x+-+b+%29%2A%28+x%5E2+%2B+a+%29+=+x%5E3+-+b%2Ax%5E2+%2B+ax+-+a%2Ab+=+0+
I can say
a+=+35
b+=+13
a%2Ab+=+455
I'll rewrite the equation
+x%5E3+-+13x%5E2+%2B+35x+=+15+
Add 455 to both sides
+x%5E3+-+13x%5E2+%2B+35x+%2B+455+=+470+
+%28+x+-+13+%29%2A%28+x%5E2+%2B+35+%29+=+470+
Looking at this, the answer seems to be between
14 and 15. Maybe you can find a
cubic equation solver on the internet.


Square-cubic-other-roots/430011: If sqrt%282x%29 -5=1, then x=?
A. -8
B. 8
C. 9
D. 12
e. 18
1 solutions

Answer 298621 by josmiceli(9669) About Me  on 2011-04-01 14:48:46 (Show Source):
You can put this solution on YOUR website!
+sqrt%282x%29+-+5+=+1+
Add 5 to both sides
+sqrt%282x%29+=+6+
Square both sides
+2x+=+36+
+x+=+18+
e. is the answer


Linear-systems/430004: solve by elimination, to include solution (if any) and ordered pair
0.05x+0.25y=11
0.15x+0.05y=12
1 solutions

Answer 298620 by josmiceli(9669) About Me  on 2011-04-01 14:45:02 (Show Source):
You can put this solution on YOUR website!
(1) +.05x%2B+.25y+=+11+
(2) +.15x%2B+.05y+=+12+
Multiply both sides of (1) and (2) by 100
(1) +5x%2B+25y+=+1100+
(2) +15x%2B+5y+=+1200+
Multiply both sides of (2) by 5
and subtract (1) from (2)
(2) +75x%2B+25y+=+6000+
(1) +-5x+-+25y+=+-1100+
+70x+=+4900+
+x+=+70+
And
(1) +5%2A70+%2B+25y+=+1100+
(1) +350+%2B+25y+=+1100+
(1) +25y+=+1100+-+350+
(1) +25y+=+750+
+y+=+30+
(70,30) answer


Evaluation_Word_Problems/429994: This is a multiple choice answer.
Find the remainder when x^3-5x^2+8 is divided by x-2.
You must make adjustments for the missing x term.
0,-4,-20,-32
I would really appreciate some help on this! :)
1 solutions

Answer 298616 by josmiceli(9669) About Me  on 2011-04-01 14:34:44 (Show Source):
You can put this solution on YOUR website!
I get -4 for a remainder
The 1st term of the answer is x%5E2
and
x%5E2+%2A%28x-2%29+=+x%5E3+-+2x%5E2+
Subtract this from x%5E3+-+5x%5E2
You get -3x%5E2
The 2nd term of the answer is -3x
+-3x%2A%28x-2%29+=+-3x%5E2+%2B+6x+
Subtract this from -3x%5E2
You get -6x
Add 8, getting -6x+%2B+8
The 3rd term of the answer is -6
+-6%2A%28x-2%29+=+6x+%2B+12
Subtract this from -6x+%2B+8
You get the remainder, -4


Percentage-and-ratio-word-problems/429790: 1 lb. soy meal has 14% protein
1 lb. corn meal has 7% protein
How many pounds of each is mixed together for a total weight of 280 lbs. with a 11% protein
1 solutions

Answer 298493 by josmiceli(9669) About Me  on 2011-03-31 21:10:45 (Show Source):
You can put this solution on YOUR website!
Let a = pounds of soy meal needed
Let b = pounds of corn meal needed
given:
(1) +%28+.14a+%2B+.07b+%29+%2F+280+=+.11+
(2) +a+%2B+b+=+280+
------------------
(1) +.14a+%2B+.07b++=+.11%2A280+
(1) +.14a+%2B+.07b++=+30.8+
(1) +14a+%2B+7b++=+3080+
Multiply both sides of (2) by 7
and subtract (2) from (1)
(1) +14a+%2B+7b++=+3080+
(2) +-7a+-+7b+=+-1960+
+7a+=+1120+
+a+=+160+
and, since
(2) +a+%2B+b+=+280+
+160+%2B+b+=+280+
+b+=+120+
160 pounds of soy meal is needed
120 pounds of corn meal is needed


Polynomials-and-rational-expressions/429760: What are factors of -36 that when you add them it will equal -36 and when you multiply them you get -36
1 solutions

Answer 298487 by josmiceli(9669) About Me  on 2011-03-31 20:57:30 (Show Source):
You can put this solution on YOUR website!
I'll say the factors are conjugate complex numbers
+%28a+%2B+b%2Ai%29%2A%28a+-+b%2Ai%29+=+-36+
+2a+=+-36+
+a+=+-18+
and
+%28+-18+%2B+b%2Ai+%29%2A%28+-18+-+b%2Ai+%29+=+-36+
+324+-+b%5E2+%2A+i%5E2+=+-36+
+b%5E2+=+-360+
+b+=+6%2Asqrt%2810%29%2Ai+
----------------
+%28-18+-+6%2Asqrt%2810%29+%29%2A%28+-18+%2B+6%2Asqrt%2810%29%29+
+324+-+36%2A10+
+324+-+360+=+-36+
The factors are
+-18+-+6%2Asqrt%2810%29+ and
-+18+%2B+6%2Asqrt%2810%29+


test/429781: How can I solve this equation: 4x-2=3y-1 ?
1 solutions

Answer 298485 by josmiceli(9669) About Me  on 2011-03-31 20:37:08 (Show Source):
You can put this solution on YOUR website!
+4x-2=3y-1+
Add 1 to both sides
+4x+-+2+%2B+1+=+3y+-+1+%2B+1+
4x+-+1+=+3y+
Divide both sides by 3
+%284%2F3%29%2Ax+-+1%2F3+=+y+
Now just write it with y on the left side
y+=+%284%2F3%29%2Ax+-+1%2F3+
Here's the plot:
+graph%28+400%2C+400%2C+-3%2C+3%2C+-3%2C+3%2C+%284%2F3%29%2Ax+-+1%2F3%29+


Travel_Word_Problems/429677: If I have a vehicle and it gets 10 miles per gallon and has a 55 gallon gas tank and we are traveling a total of 1500 miles how many tanks of gas will we consume?
1 solutions

Answer 298425 by josmiceli(9669) About Me  on 2011-03-31 16:59:53 (Show Source):
You can put this solution on YOUR website!
First, I figure out the units without numbers
(tanks of gas) = (miles) / (miles/gallon) / (gallons / tank)
+t+=+%281500+%2F+10%29+%2F+55+
+t+=+150%2F55+
+t+=+2.727+ tanks


Volume/429674: In my Math work shop class we are measuring boxes. I am trying to figure out how much water can be held in a box the width is 4 1/2 inches the the length is 7 1/2 and hight is 1 3/4 inches. How much water can this box hold till it over flows?
1 solutions

Answer 298418 by josmiceli(9669) About Me  on 2011-03-31 16:42:03 (Show Source):
You can put this solution on YOUR website!
You need to find the volume of the box.
If the length, width, and height are measured in inches,
The volume is measured in cubic inches
The formula is
Volume = length x width x height
+V+=+7.5+%2A+4.5+%2A+1.75+ in3
+V+=+59.0625+ in3


Travel_Word_Problems/429287: Two cars heading in same direction, 300 ft apart. One behind is traveling 53 mph, one in front is traveling 40 mph. How many seconds until they hit? What if the front one is traveling 10 mph?
1 solutions

Answer 298218 by josmiceli(9669) About Me  on 2011-03-30 19:27:11 (Show Source):
You can put this solution on YOUR website!
Let d = distance front car has to go
Let t = time for them to meet
equation for 40 mi/hr car
(1) d+=+40t
equation for 53 mi/hr car
(2) d+%2B+300%2F5280+=+53t+
Substitute (1) into (2)
(2) 40t+%2B+300%2F5280+=+53t+
+13t+=+300%2F5280+
+t+=+.0568%2F13+
+t+=+.00437+ hrs
+t+=+.00437+%2A+60%2A60+=+15.73+ hrs x min/hr x sec/min
They hit in 15.73 sec
--------------------------
If the front car goes 10 mi/hr
(1) +d+=+10t+
(2) d+%2B+300%2F5280+=+53t+
(2) 10t+%2B+300%2F5280+=+53t+
+43t+=+.0568+
+t+=+.00132+ hrs
+t+=+.00132+%2A+60+%2A+60+=+4.757+ sec
They hit in 4.757 sec


Linear-equations/428938: 353 people attend a local play ata private club. members get tickets for $2.75, while non - members have to pay $6.50. If the total gate for the play came to $1762, how many members and non - members came to the play?
1 solutions

Answer 298035 by josmiceli(9669) About Me  on 2011-03-29 21:26:50 (Show Source):
You can put this solution on YOUR website!
a = number of members
b = number of non-members
given:
(1) a+%2B+b+=+353
(2) 275a+%2B+650b+=+176200 (in cents)
Multiply both sides of (1) by 275
and subtract (1) from (2)
(2) 275a+%2B+650b+=+176200
(1) -275a+-+275b+=+97075
+375b+=+79125+
+b+=+211
and
(1) a+%2B+211+=+353
a+=+142+
142 members and 211 non-members came