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scott8148 answered: 6619 problems
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expressions/557927: i understand how to add multiply and divide integers( neg. and pos.) numbers.However there is a whole chapter devoted to prob with par. and ive tried for hours to figure out what im doing wrong. 7+(-8)divided by 4 =. ok 7+-8=1 and four divided my one is four.. it says im wrong.. what am i doing wrong.also my key board doesnt have a division sign. Tanya
1 solutions

Answer 362829 by scott8148(6628) About Me  on 2012-01-16 14:02:36 (Show Source):
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there is a hierarchy (order) of operations ___ does PEMDAS ring a bell?

Parentheses Exponentiation Multiplication Division Addition Subtraction

in this case, division occurs before addition
___ (-8) / 4 = -2
___ 7 + (-2) = 5

you can use the fraction line (forward slash) to show division


Triangles/557930: A straight road to the top of a hill is 2500 feet long and makes an angle of 12 degrees with the horizontal. Find the height of the hill? Thanks-I tried and got 520 feet but it doesn't work when I check it?
1 solutions

Answer 362828 by scott8148(6628) About Me  on 2012-01-16 13:52:20 (Show Source):
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h / 2500 = sin(12º)


Polygons/557916: How do you find the number of diagonals with just knowing the number of sides?
1 solutions

Answer 362827 by scott8148(6628) About Me  on 2012-01-16 13:49:18 (Show Source):
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the number of sides is the same as the number of corners (vertices)

diagonals are lines from corner-to-corner, that aren't sides

if there are N corners; you can draw lines from any corner, to N-1 other corners

but, the line from A to B is the same as the line from B to A
___ so the number of lines is {[N(N - 1)] / 2}

N of the lines are sides, so the number of diagonals is ___ {[N(N - 1)] / 2} - N ___ or ___ {[N(N - 3)] / 2}


Quadratic_Equations/557914: What is the the discriminant of 12x^2-x-6=0? I tried working it out and got an a long decimal which rounded to 2, found the square root, i then added (1/6),and divided it by 2, however when i stored x in my calc to check it it didnt = 0, so i know i did something wrong. I think i went wrong with the discriminant but i could have messed up somewhere else. if there is anyway you could show mw how to work it i would be very appreciative!!!
1 solutions

Answer 362825 by scott8148(6628) About Me  on 2012-01-16 13:19:24 (Show Source):
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FYI ___ factoring ___ (3x + 2)(4x - 3) = 0

b^2 - 4ac ___ (-1)^2 - (4)(12)(-6) = 289


Inequalities/557864: I was wondering how to do this equation, ~ 3(y-2) +4(3 -2y) < 6 (3y-1) -11y ~
I've solved every other question on the paper besides this one, it would be amazing if you could show me step by step.
1 solutions

Answer 362824 by scott8148(6628) About Me  on 2012-01-16 13:10:16 (Show Source):
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distributing ___ 3y - 6 + 12 - 8y < 18y - 6 - 11y

consolidating like terms ___ -5y + 6 < 7y - 6

adding 5y + 6 ___ 12 < 12y

dividing by 12 ___ 1 < y


test/557870: Explain, in complete sentences, how you would factor 12x 3 – 82x 2 – 14x
1 solutions

Answer 362821 by scott8148(6628) About Me  on 2012-01-16 12:53:34 (Show Source):
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factor out the GCF, 2x ___ 2x (6x^2 - 41x - 7)

factor the remaining quadratic ___ 2x (6x + 1) (x - 7)


Radicals/557885: find the real soultion of the equation.
x+√x=20

please help, I dont understand the rules of operations involving radicals and the book as well as my teacher dont tell me step by step.

1 solutions

Answer 362807 by scott8148(6628) About Me  on 2012-01-16 12:22:12 (Show Source):
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subtracting x ___ √x = 20 - x

squaring ___ x = 400 - 40x + x^2

subtracting x ___ 0 = x^2 - 41x + 400

factoring ___ 0 = (x - 25)(x - 16)

x = 25 ___ AND ___ x = 16

remember -- square roots can be positive OR negative


Unit_Conversion_Word_Problems/557878: Hi I'm am trying to figure out the correct unit analysis for this problem.
A marathon is a long distance event that covers 26.2 miles. If the average runner can run 515 ft in one minute, how many hours will it take to complete the marathon? ( round your result to one decimal place).

I have tried multiplying 26.2 by 515 then divided by 5280 but I got 2.5 and the answer is approx. 4.5.
1 solutions

Answer 362806 by scott8148(6628) About Me  on 2012-01-16 12:12:20 (Show Source):
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515 ft/min * 60 min/hr = ? ft/hr

26.2 mi/marathon * 5280 ft/mi = ? ft/marathon

divide the second result by the first to get hr/marathon


Equations/556771: 4u^2-1=0
1 solutions

Answer 362308 by scott8148(6628) About Me  on 2012-01-13 11:20:26 (Show Source):
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difference of squares

(2u + 1)(2u - 1) = 0

2u + 1 = 0

2u - 1 = 0


Travel_Word_Problems/556783: An airplane can fly with the wind a distance of 600 miles in 5 hours. However, the return trip against the wind takes 6 hours. Find the speed of the plane in still air and the speed of the wind
1 solutions

Answer 362307 by scott8148(6628) About Me  on 2012-01-13 11:16:42 (Show Source):
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a + w = 600 / 5

a - w = 600 / 6

add the equations to eliminate w

solve for a

substitute back to find w


test/556853: My problem: Describe the shape and position of the garaph of y=(x-h)^2 +g
Thanks alot
1 solutions

Answer 362305 by scott8148(6628) About Me  on 2012-01-13 11:05:50 (Show Source):
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this is an upward opening parabola; with the vertex at (h,g)


Points-lines-and-rays/556878: Lines m and n intersect at point A. Line k is perpendicular to both lines m and n at point A. Which statement must be true?
1) Lines m, n and k are in the same plane.
2) Lines m and n are in two different planes.
3) Lines m and n are perpendicular to each other.
4) Line k is perpendicular to the plane containing lines m and n.
The correct answer choice is number 4, but I don't know why it is not 3.
Please help!!!
1 solutions

Answer 362304 by scott8148(6628) About Me  on 2012-01-13 11:03:26 (Show Source):
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MUST is the key

#3 COULD be true (or not), but #4 MUST be true


test/556810: Can you please tell me what are the consecutive numbers that adds up to 63
I have found already two: 31,32. 20,21,22.
Can you please tell me two more?

1 solutions

Answer 362302 by scott8148(6628) About Me  on 2012-01-13 10:58:21 (Show Source):
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8,9,10,11,12,13

3,4,5,6,7,8,9,10,11


Volume/556863: Fifteen less than half a number equals 5. What is the value of the number?
1 solutions

Answer 362298 by scott8148(6628) About Me  on 2012-01-13 10:43:58 (Show Source):
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(n / 2) - 15 = 5


Polynomials-and-rational-expressions/556867: Write a polynomial function with rational coefficients in standard form with the given zeros.

2, 3, 5
1 solutions

Answer 362297 by scott8148(6628) About Me  on 2012-01-13 10:42:50 (Show Source):
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if r is a root (zero) of a function, then x-r is a factor

f(x) = (x - 2)(x - 3)(x - 5)

multiply the factors to find the function


Equations/556865: 5x + 3y = -9
5x - 3y = -51 give the ordered pair as solution
I got an answer as -9/5 - -3/5y is this correct?
1 solutions

Answer 362296 by scott8148(6628) About Me  on 2012-01-13 10:38:50 (Show Source):
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adding equations to eliminate y ___ 5x + 3y + 5x - 3y = -9 - 51 ___ 10x = -60

solve for x, then substitute back to find y


test/556513: My problem
Describe a method of writing the quadratic expression x^2 + bx + c in the form (x - h)^2 + g
Thanks for the help
1 solutions

Answer 362190 by scott8148(6628) About Me  on 2012-01-12 18:17:49 (Show Source):
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separate the constant ___ (x^2 + bx) + c

complete the square ___ (x^2 + bx + b^2/4) + c - b^2/4
___ and adjust the constant (to maintain the value of the expression)

rewrite in desired form ___ (x + b/2)^2 + c - b^2/4


Word_Problems_With_Coins/556486: Hello :)
A collection of 56 coins has a value of $4.00. The collection contains nickles and dimes. Find the number of dimes in the collection.
What I have tried:
I made a chart
Value Quantity Total Value
.5 x .5x
.10 56-x .10(56-x)
.5x(56-x).10= 4.00


I think I messing something up here because I know I am supposed to have 24 dimes but I most definitely not getting that.
Any help is greatly appreciated :)
1 solutions

Answer 362183 by scott8148(6628) About Me  on 2012-01-12 18:06:42 (Show Source):
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5n + 10d = 400

n + d = 56 ___ multiplying by -5 ___ -5n - 5d = -280

adding equations to eliminate n ___ 5n + 10d - 5n - 5d = 400 - 280 ___ 5d = 120 ___ d = 24


Travel_Word_Problems/556326: Heey, I just can't figure out how to answer this question!
I've tried things, but then I got stuck. Can someone please hep me?
Thanx
A projectile is fired vertically upwards and its height in meters after t seconds is given by the formula h=40t-8t^2
Find the time taken by the projectile to first reach a height of 48 meters.
1 solutions

Answer 362132 by scott8148(6628) About Me  on 2012-01-12 14:43:54 (Show Source):
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48 = 40t - 8t^2

6 = 5t - t^2

0 = t^2 - 5t + 6

0 = (t - 3)(t - 2)

t = 3 AND t = 2


Square-cubic-other-roots/556263: How do I rationalise denominators?? :(
I mean things like (√2 + 2√5)/(√5 - √2)
Thanks!
1 solutions

Answer 362114 by scott8148(6628) About Me  on 2012-01-12 13:01:03 (Show Source):
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in general, you multiply the numerator and denominator by the radical from the denominator
___ this "deradicalizes" (is that a word?) the denominator and maintains the value of the fraction

in the example you give, multiplying by the conjugate is the best technique

multiplying by (√5 + √2)/(√5 + √2) ___ [(√2 + 2√5) (√5 + √2)] / [(√5 - √2) (√5 + √2)]

FOILing ___ (√10 + 2 + 10 + 2√10) / (5 + √10 - √10 - 2) ___ (12 + 3√10) / 3 ___ 4 + √10


Linear-equations/556270: write the slope for the linear line (0,-8),(0,8)
1 solutions

Answer 362107 by scott8148(6628) About Me  on 2012-01-12 12:38:48 (Show Source):
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since the y-coordinate changes but the x-coordinate does not, this is a vertical line

the slope is undefined


�t�e�s�t/556304: I was giving an interview test earlier today. The job doesn't require a high level of math skills. The question i might have stumbled upon is most likely easy to others.
Question giving
Calculate the circumference of a circle with a radius of 5/8
my answer was c=2(pi)(r)
2(3.14)(5)
c= 31.4/8
c= 3.93
This was my answer. Is this correct?
1 solutions

Answer 362105 by scott8148(6628) About Me  on 2012-01-12 12:30:40 (Show Source):
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the number is correct

the off/on (1/8) is interesting...


logarithm/556295: write 1+log(base 2) X^3 as a single logarithm.

*i dont understand how to do the qustion without changing it into an equation, which would be incorrect. Ex. 1+log(base 2) X^3
log(base 2)X^3 = 1 (wrong!)
how would i do it ??
1 solutions

Answer 362102 by scott8148(6628) About Me  on 2012-01-12 12:24:21 (Show Source):
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1 = log2(2)

adding logs means multiplying quantities

log2(2) + log2(x^3) = log2(2x^3)


Equations/556268: I don't have a clue or where to begin solving
5a - 2b - 3c = 10
5b - 2c = -4
c = 3
Please help
1 solutions

Answer 362101 by scott8148(6628) About Me  on 2012-01-12 12:17:54 (Show Source):
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substituting the value of c ___ 5b - 2(3) = -4 ___ 5b = 2 ___ b = .4

substituting the values of c and b ___ 5a - 2(.4) - 3(3) = 10 ___ 5a = 19.8 ___ a = 3.96


Miscellaneous_Word_Problems/555874: What are the next three numbers in the following pattern?
2,3,5,9,17,33,
1 solutions

Answer 361982 by scott8148(6628) About Me  on 2012-01-11 18:45:01 (Show Source):
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65 , 129 , 257

the difference is an increasing power of 2


test/555876: My algebra 2 class is working on Solving absolute value equations and I need help on this problem : -8|3-8k|=40
1 solutions

Answer 361980 by scott8148(6628) About Me  on 2012-01-11 18:40:53 (Show Source):
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the problem (as written) has no solution

dividing by -8 gives ___ abs(3 - 8k) = -5
___ this is a contradiction because the abs function MUST be positive


Mixture_Word_Problems/555792: 24 equals 2/3rds of what number and how did you get that number
1 solutions

Answer 361942 by scott8148(6628) About Me  on 2012-01-11 16:31:23 (Show Source):
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"24 equals 2/3rds of what number" ___ 24 = (2/3) n

multiply by the inverse (3/2) to clear the fraction ___ (3/2) 24 = n ___ 36 = n


Graphs/555716: Does anyone know how to solve these two problems?
Been having trouble with these homework problems, any help I'd be extremely grateful.
Thank you in advance!
g(x)=2x^2-7x-9
and
g(x)=16x^2+32x+15
1 solutions

Answer 361915 by scott8148(6628) About Me  on 2012-01-11 14:32:05 (Show Source):
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they can be factored to find the zeros (roots)

g(x) = (2x - 9)(x + 1)

g(x) = (4x + 5)(4x + 3)


Inverses/555674: Okay, so I am having difficulties in my math class in 8th grade. The problem went like this multiplying a number by 1/3 and then dividing the result by 4/9 is the same doing which of the following? A) multiplying by 3/4 B) multiplying by 4/3 OR C) dividing by 2/5. If you could help me on this that would be soo fantastic! I have a test on it tomorrow, which I don't understand it so that's why I came to this site.
1 solutions

Answer 361908 by scott8148(6628) About Me  on 2012-01-11 13:14:39 (Show Source):
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dividing by a fraction is the same as multiplying by the inverse

n * (1/3) * (9/4) = n(9/12)

which reduces to ___ n(3/4)


Miscellaneous_Word_Problems/555136: I need help in aiding my daughter with working the following word problem: A fatory manufactures dresses. Every 3rd dress has a blue bow, every 8th dress has a white bow and every 4th dress has a red bow. If 150 dresses come off the line, how many dresses have all three bows on them? I had her take the total dresses over the number of each color bow ie: 150/3 = number or dresses with blue bows, but I can not figure out how to get the number of dresses with all 3 bows. Thank you.
1 solutions

Answer 361657 by scott8148(6628) About Me  on 2012-01-10 13:15:22 (Show Source):
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any dress number that is evenly divisible by (has a factor of) 3, will have a blue bow

similarly with 8 and white bows; and 4 and red bows

any dress number that has 3, 8, and 4 as factors; will have all three bows

the smallest number with those factors is 24

150 is divisible by 24, 6 full times ; so there will be 6 dresses with all 3 bows


Rectangles/554818: My son's class has been working on perimeter problems and now have changed to area problems. Struggling with this one. Thanks for your help.
????List all possible whole number measurements for length and width for a rectangle with an area of 20 feet.

1 solutions

Answer 361527 by scott8148(6628) About Me  on 2012-01-09 20:28:20 (Show Source):
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these are the whole number factor pairs of 20

1 , 20
2 , 10
4 , 5
5 , 4
10 , 2
20 , 1

the duplicate pairs may not apply in your case (if length is considered to be the "longest" measurement)