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Recent problems solved by 'scott8148'

scott8148 answered: 6619 problems
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Angles/616754: whats the complement of a 53 angle

1 solutions

Answer 387881 by scott8148(6628) About Me  on 2012-05-31 20:19:09 (Show Source):


Quadratic-relations-and-conic-sections/616755: identify the conic section with the equation x^2 + y^2 - 6x - 4y - 68 = 0
1 solutions

Answer 387880 by scott8148(6628) About Me  on 2012-05-31 20:18:31 (Show Source):
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x and y both squared, with equal coefficients ___ a circle


Equations/616753: how do you factor this quadratic equation? i keep trying but its not right.
12x^2+13x-4=0


1 solutions

Answer 387879 by scott8148(6628) About Me  on 2012-05-31 20:17:25 (Show Source):
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(4x - 1)(3x + 4) = 0


logarithm/616752: Logx49=2 in exponential form...the x is suppose to be small
Solve for the unknown variable: Log3X=5...the 3 is suppose to be small
1 solutions

Answer 387878 by scott8148(6628) About Me  on 2012-05-31 20:15:42 (Show Source):
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x^2 = 49


3^5 = x


Inverses/616721: This final one completely throws me.
Make x the subject.
f= p sqrt(g-x)
Thank you
1 solutions

Answer 387877 by scott8148(6628) About Me  on 2012-05-31 20:09:53 (Show Source):
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dividing by p ___ f/p = sqrt(g-x)

squaring ___ (f/p)^2 = g-x

adding x and subtracting (f/p)^2 ___ x = g - (f/p)^2


Linear-equations/616687: Write an equations of the line containing the given point and perpendicular to the given line.
(0,2); 2x+5y=3
1 solutions

Answer 387876 by scott8148(6628) About Me  on 2012-05-31 20:00:47 (Show Source):
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swapping the x and y coefficients, and changing one of the signs; changes the slope to the negative reciprocal (perpendicular)

5x - 2y = ? ___ substitute the given point to find the new constant term

5(0) - 2(2) = -4

5x - 2y = 4


Surface-area/616391: find the volume and surface area of a cube with an edge length of 10 units
1 solutions

Answer 387660 by scott8148(6628) About Me  on 2012-05-30 19:59:38 (Show Source):
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v = e^3

sa = 6 e^2


Reduction-of-unit-multipliers/616382: the profit of selling x tables is given by p(x)=20000+80x-0.4x^2. how many tables should be made to maximize profits?
1 solutions

Answer 387659 by scott8148(6628) About Me  on 2012-05-30 19:57:58 (Show Source):
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the maximum is the vertex, on the axis of symmetry

the equation is ___ x = -b / (2a) ___ from ax^2 + bx + c


Exponential-and-logarithmic-functions/616378: How do you solve 5^x=3 for x using logs?
1 solutions

Answer 387658 by scott8148(6628) About Me  on 2012-05-30 19:54:31 (Show Source):
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x * log(5) = log(3)


Mixture_Word_Problems/616344: I have two problem on a quiz due tonight need simalar exaples to help me work my problems.
. A dehydrated patient needs a 2.6% saline IV. Unfortunately, the hospital only has bags of 8% and 2% saline solutions. How many liters of each of these solutions should be mixed together to yield 2 liters of the desired concentration?
. To buy both a new car and a new house, Tina sought two loans totaling $318,338. The simple interest rate on the first loan was 2.4%, while the simple interest rate on the second loan was 4.7%. At the end of the first year, Tina paid a combined interest payment of $14,761.81. What were the amounts of the two loans?
please help thanks mia
1 solutions

Answer 387656 by scott8148(6628) About Me  on 2012-05-30 19:50:37 (Show Source):
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(8%)(x) + (2%)(2 - x) = (2.6%)(2)



(2.4%)(x) + (4.7%)(318338 - x) = 14761.81


Rectangles/616334: If a rectangular garden has perimeter of 36ft, and the garden covers the greatest possible area, what should its dimensions be?
1 solutions

Answer 387655 by scott8148(6628) About Me  on 2012-05-30 19:45:49 (Show Source):
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a square is the rectangle with the greatest area for a given perimeter


Polynomials-and-rational-expressions/615981: factor the trinomial 4n^2-22n-42
1 solutions

Answer 387428 by scott8148(6628) About Me  on 2012-05-29 20:07:55 (Show Source):
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(4n + 6)(n - 7)


Angles/615973: how do you calculate the angles of a kite when 2 angles(B and D) are equal and both equal 114 degrees and one other angle (A)is twice the measure of angle C

1 solutions

Answer 387424 by scott8148(6628) About Me  on 2012-05-29 20:06:11 (Show Source):
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the sum of the angles of a quadrilateral (like a kite) is 360º

3C = 360 - 2(114)


Matrices-and-determiminant/615967: We're trying to help our soon with his math homework but we're totally stuck one this problem:
A store has a sale on almonds, pecans and pistachios. One lb of almonds, one lb of pecans and one lb of pistachios cost $12. Two lbs of almonds and three lbs of pecans cost $16. Three lbs of pecans and two lbs pistachios cost $24. Find the price of each kind of nut.

Thank you in advance for any help.
1 solutions

Answer 387421 by scott8148(6628) About Me  on 2012-05-29 20:02:44 (Show Source):
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x=almond, y=pecan, z=pistachio

x + y + z = 12 ___ A

2x + 3y = 16 ___ B

3y + 2z = 24 ___ C

eliminating x ___ 2A - B ___ -y + 2z = 8 ___ D

eliminating y ___ 3D + C ___ 8z = 48

solve for z, then substitute back to find y and x



Distributive-associative-commutative-properties/615958: two pumps were required to pump the water out of a submerged area after a hurricane. Pump A,the large of the two pumps can pump the water out in 36 hours,whereas it would take pump B 180 hours. both pumps were working for the first 9 hours until pump A broke. how long did it take pump B to pump out the remaining water?
1 solutions

Answer 387418 by scott8148(6628) About Me  on 2012-05-29 19:48:03 (Show Source):
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in the 9 hrs that it runs, A pumps out 1/4 (9/36) of the water

it takes B 135 hr (3/4 * 180) to pump the remaining 3/4; but B has been pumping for 9 hrs, so only 126 hrs to finish


Coordinate-system/615956: can you please solve this for me?
5x – 7y = -16, 2x + 8y = 26
1 solutions

Answer 387416 by scott8148(6628) About Me  on 2012-05-29 19:43:44 (Show Source):
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multiplying the 2nd equation by 5/2 ___ 5x + 20y = 65

subtracting the 1st equation (to eliminate x) ___ 27y = 81

solve for y, then substitute back to find x


Travel_Word_Problems/615957: 1.) A bacteria culture contains 50 bacteria initially and doubles every hour.
a.) find a function that models the number of bacteria after t hours
b.) find the number of bacteria after 5 hours
completely lost :(
1 solutions

Answer 387414 by scott8148(6628) About Me  on 2012-05-29 19:39:27 (Show Source):
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the number of bacteria is multiplied by two every hour ___ b * 2 * 2 * 2...etc

a.)f(t) = 50 * 2^t

b.) f(5) = 50 * 2^5 = 50 * 32


Linear-equations/615939: i need an equation to match this data table
x -3 -2 -1 0 1 2 3

y 5 9 13 17 21 25 29
1 solutions

Answer 387395 by scott8148(6628) About Me  on 2012-05-29 18:43:09 (Show Source):
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x increases by one while y increases by 4, so the slope (m) is 4

when x is zero, y is 17; so the y-intercept (b) is 17

y = 4x + 17


Polynomials-and-rational-expressions/615936: x^3+6x^2+3x+18
1 solutions

Answer 387393 by scott8148(6628) About Me  on 2012-05-29 18:40:08 (Show Source):
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separating ___ (x^3 + 6x^2) + (3x + 18)

factoring ___ x^2 (x + 6) + 3 (x + 6)

rearranging ___ (x^2 + 3)(x + 6)


Equations/615935: please help me
it says to solve by using elimination method
x + 8y = 14
-3x + 4y = 0

1 solutions

Answer 387389 by scott8148(6628) About Me  on 2012-05-29 18:35:38 (Show Source):
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multiplying 1st equation by 3 ___ 3x + 24y = 42

adding 2nd equation (to eliminate x) ___ 28y = 42

solve for y, then substitute back to find x


Rectangles/615886: Ramon is designing a rectangular garden with a width of 8ft. The path that leads diagonally across the garden is 2ft longer than the length of the garden. How long is the path?
1 solutions

Answer 387375 by scott8148(6628) About Me  on 2012-05-29 17:11:33 (Show Source):
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by Pythagoras ___ 8^2 + (p - 2)^2 = p^2


Triangles/615869: The hypotenuse of a right triangle is nine more than the shortest leg. The longer leg is only one more than the shortest leg. Find the length of the hypotenuse of the triangle.
1 solutions

Answer 387349 by scott8148(6628) About Me  on 2012-05-29 15:32:00 (Show Source):
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(h - 9)^2 + (h - 8)^2 = h^2

h^2 - 18h + 81 + h^2 - 16h + 64 = h^2

h^2 - 34h + 145 = 0

factoring ___ (h - 5)(h - 29) = 0


Triangles/615868: the altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 25 cm and 30 cm long. how long is the altitude? 
1 solutions

Answer 387346 by scott8148(6628) About Me  on 2012-05-29 15:25:29 (Show Source):
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25 / a = a / 30


Age_Word_Problems/615867: my mum was 27 when i was born, 8 years ago she was twice as old as i shall be in 5 years time..how old am i now?
1 solutions

Answer 387345 by scott8148(6628) About Me  on 2012-05-29 15:22:37 (Show Source):
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m = i + 27

m - 8 = 2(i + 5)

substituting ___ (i + 27) - 8 = 2i + 10 ___ i + 19 = 2i + 10


Geometry_Word_Problems/615864: A rectangular garden measures by 33ft by 66ft . Surrounding (and bordering) the garden is a path 2ft wide. Find the area of this path.
1 solutions

Answer 387342 by scott8148(6628) About Me  on 2012-05-29 15:16:31 (Show Source):
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[(66 + 4)(33 + 4)] - (66 * 33)


expressions/615863: Solve for x.
2x^2 - 7x = 4
1 solutions

Answer 387340 by scott8148(6628) About Me  on 2012-05-29 15:14:08 (Show Source):
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2x^2 - 7x - 4 = 0

factoring ___ (2x + 1)(x - 4) = 0

2x - 1 = 0

x - 4 = 0


Systems-of-equations/615860: How do I solve this system?
x²+y²=10
xy=3

1 solutions

Answer 387338 by scott8148(6628) About Me  on 2012-05-29 15:10:40 (Show Source):
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FOILing (x + y)^2 ___ x^2 + 2xy + y^2

substituting ___ (x + y)^2 = 10 + 2(3) = 16

taking square root ___ x + y = ± 4

xy = 3 ___ x = 3/y

x + y = 4 ___ substituting ___ 3/y + y = 4 ___ 3 + y^2 = 4y ___ y^2 - 4y + 3 = 0 ___ (y - 3)(y - 1) = 0
___ y = 3 AND 1 ___ solutions are (1,3) and (3,1)

x + y = -4 ___ same technique ___ solutions are (-1,-3) and (-3,-1)


Numbers_Word_Problems/615859: I do not know where to start with this problem:
A compass and a ruler together cost $4. The compass costs .90 more than the ruler. How much does the compass cost?
I am 53 and have never understood how to do word problems. I can solve the equations but cannot come up with the equation itself.
1 solutions

Answer 387336 by scott8148(6628) About Me  on 2012-05-29 14:51:47 (Show Source):
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"A compass" ___ c

"and a ruler" ___ r

"together cost $4" ___ c + r = $4

"The compass costs .90 more than the ruler" ___ c = r + $.90


expressions/615835: nine more than a numberr
1 solutions

Answer 387333 by scott8148(6628) About Me  on 2012-05-29 14:43:14 (Show Source):


Money_Word_Problems/615831: Roberto invested some money at 8%, and then invested $2000 more than twice this amount at 12%. His total annual income from the two investments was $4720. How much was invested at 12%?
1 solutions

Answer 387332 by scott8148(6628) About Me  on 2012-05-29 14:42:42 (Show Source):
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(8%)(x) + (12%)(2x + 2000) = 4720


Mixture_Word_Problems/615814: A yogurt company blends regular yogurt that is 4% fat with its no-fat yogurt to obtain low-fat yogurt that is 1% fat. How many pounds of non-fat yogurt must be mixed to obtain 60 pounds of low-fat yogurt?
1 solutions

Answer 387317 by scott8148(6628) About Me  on 2012-05-29 12:43:13 (Show Source):
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(0%)(x) + (4%)(60 - x) = (1%)(60)