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Numeric_Fractions/556262: A serving of a certain kind of cereal is 2/3 cup. There are 12 cups of cereal in the box. How many servings of cereal are in the box?
1 solutions

Answer 362124 by jim_thompson5910(28476) About Me  on 2012-01-12 13:23:43 (Show Source):
You can put this solution on YOUR website!
There are 12/(2/3) = 12*(3/2) = 36/2 = 18 total servings.


percentage/556325: what is 75 percent of 25

1 solutions

Answer 362123 by jim_thompson5910(28476) About Me  on 2012-01-12 13:17:00 (Show Source):
You can put this solution on YOUR website!
75% of 25

0.75*25

18.75


So 75% of 25 is 18.75


Equations/556323:
Solve for y. 3x + 2 = y - x

1 solutions

Answer 362122 by jim_thompson5910(28476) About Me  on 2012-01-12 13:14:11 (Show Source):
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3x + 2 = y - x

3x + 2 + x = y

4x + 2 = y

y = 4x + 2

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Equations/556320: help solve the equation
10-(-y-6)=3(y+4)-7(y+4)
1 solutions

Answer 362121 by jim_thompson5910(28476) About Me  on 2012-01-12 13:10:03 (Show Source):
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10-%28-y-6%29=3%28y%2B4%29-7%28y%2B4%29 Start with the given equation.


10%2By%2B6=3y%2B12-7y-28 Distribute.


y%2B16=3y%2B12-7y-28 Combine like terms on the left side.


y%2B16=-4y-16 Combine like terms on the right side.


y=-4y-16-16 Subtract 16 from both sides.


y%2B4y=-16-16 Add 4y to both sides.


5y=-16-16 Combine like terms on the left side.


5y=-32 Combine like terms on the right side.


y=%28-32%29%2F%285%29 Divide both sides by 5 to isolate y.


----------------------------------------------------------------------

Answer:

So the solution is y=-32%2F5

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Jim



Equations/556321: How would this function as either a linear,constant,quadratic,square-root or absolute value function?

f(x) = -17
1 solutions

Answer 362120 by jim_thompson5910(28476) About Me  on 2012-01-12 13:09:22 (Show Source):
You can put this solution on YOUR website!
This is a constant function since the output is always the same regardless of the input.


Equations/556318: 2x+5=3x-1
1 solutions

Answer 362119 by jim_thompson5910(28476) About Me  on 2012-01-12 13:07:46 (Show Source):
You can put this solution on YOUR website!
2x%2B5=3x-1 Start with the given equation.


2x=3x-1-5 Subtract 5 from both sides.


2x-3x=-1-5 Subtract 3x from both sides.


-x=-1-5 Combine like terms on the left side.


-x=-6 Combine like terms on the right side.


x=%28-6%29%2F%28-1%29 Divide both sides by -1 to isolate x.


x=6 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is x=6

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Linear_Algebra/556317: Please help me solve this problem |4x-5|=|3x-23|
1 solutions

Answer 362118 by jim_thompson5910(28476) About Me  on 2012-01-12 13:06:32 (Show Source):
You can put this solution on YOUR website!
Hint: Use the idea that if |x| = k, for some positive number k, then x = k or x = -k. For example, if |x| = 3, then x = 3 or x = -3.


Equations/556315: 4x=30(x+2)
1 solutions

Answer 362117 by jim_thompson5910(28476) About Me  on 2012-01-12 13:05:38 (Show Source):
You can put this solution on YOUR website!
4x=30%28x%2B2%29 Start with the given equation.


4x=30x%2B60 Distribute.


4x-30x=60 Subtract 30x from both sides.


-26x=60 Combine like terms on the left side.


x=%2860%29%2F%28-26%29 Divide both sides by -26 to isolate x.


x=-30%2F13 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is x=-30%2F13


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Jim



Distributive-associative-commutative-properties/556314: Factor completely. 16x2 – 4
1 solutions

Answer 362115 by jim_thompson5910(28476) About Me  on 2012-01-12 13:01:18 (Show Source):
You can put this solution on YOUR website!
16x^2-4

4(4x^2-1)

4((2x)^2-1^2)

4(2x-1)(2x+1)


So 16x^2-4 completely factors to 4(2x-1)(2x+1)

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Linear-equations/556313: Which is the equation to the line passing through points (2, –7) and (5, –1)?
1 solutions

Answer 362112 by jim_thompson5910(28476) About Me  on 2012-01-12 12:50:01 (Show Source):
You can put this solution on YOUR website!

First let's find the slope of the line through the points and


Note: is the first point . So this means that x%5B1%5D=2 and y%5B1%5D=-7.
Also, is the second point . So this means that x%5B2%5D=5 and y%5B2%5D=-1.


m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.


m=%28-1--7%29%2F%285-2%29 Plug in y%5B2%5D=-1, y%5B1%5D=-7, x%5B2%5D=5, and x%5B1%5D=2


m=%286%29%2F%285-2%29 Subtract -7 from -1 to get 6


m=%286%29%2F%283%29 Subtract 2 from 5 to get 3


m=2 Reduce


So the slope of the line that goes through the points and is m=2


Now let's use the point slope formula:


y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula


y--7=2%28x-2%29 Plug in m=2, x%5B1%5D=2, and y%5B1%5D=-7


y%2B7=2%28x-2%29 Rewrite y--7 as y%2B7


y%2B7=2x%2B2%28-2%29 Distribute


y%2B7=2x-4 Multiply


y=2x-4-7 Subtract 7 from both sides.


y=2x-11 Combine like terms.


So the equation that goes through the points and is y=2x-11

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Jim




Distributive-associative-commutative-properties/556310: 3(x-7)
1 solutions

Answer 362111 by jim_thompson5910(28476) About Me  on 2012-01-12 12:45:57 (Show Source):
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3(x-7)

3(x)+3(-7)

3x-21


So 3(x-7) completely simplifies to 3x-21

In other words, 3(x-7) = 3x-21


Signed-numbers/556301: 3x=460-2i
1 solutions

Answer 362109 by jim_thompson5910(28476) About Me  on 2012-01-12 12:43:43 (Show Source):
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I'm assuming you want to solve for x


3x=460-2i


x=(460-2i)/3


Complex_Numbers/556306: (6+3i)-(10+4i)
1 solutions

Answer 362108 by jim_thompson5910(28476) About Me  on 2012-01-12 12:41:44 (Show Source):
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(6+3i)-(10+4i)

6+3i-10-4i

(6-10)+(3i-4i)

-4-i


So (6+3i)-(10+4i) = -4-i

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Equations/556305: 7x-1/2 = 2x+5x-3x/5-10
1 solutions

Answer 362106 by jim_thompson5910(28476) About Me  on 2012-01-12 12:37:10 (Show Source):
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7x-1%2F2=2x%2B5x-3x%2F5-10 Start with the given equation.


10%287x-1%2Fcross%282%29%29=10%282x%2B5x-3x%2Fcross%285%29-10%29 Multiply both sides by the LCD 10 to clear any fractions.


70x-5=20x%2B50x-6x-100 Distribute and multiply.


70x-5=64x-100 Combine like terms on the right side.


70x=64x-100%2B5 Add 5 to both sides.


70x-64x=-100%2B5 Subtract 64x from both sides.


6x=-100%2B5 Combine like terms on the left side.


6x=-95 Combine like terms on the right side.


x=%28-95%29%2F%286%29 Divide both sides by 6 to isolate x.


----------------------------------------------------------------------

Answer:

So the solution is x=-95%2F6

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test/556297:
1 solutions

Answer 362098 by jim_thompson5910(28476) About Me  on 2012-01-12 12:07:45 (Show Source):
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problem missing


Exponents/556083: please help (-12 to the 2nd power all in parenthesis) I am stumped !!
1 solutions

Answer 362033 by jim_thompson5910(28476) About Me  on 2012-01-11 21:53:23 (Show Source):
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%28-12%29%5E2+=+%28-12%29%2A%28-12%29+=+144


So %28-12%29%5E2+=+144

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Equations/556041: 4 - 2p = 8 + 5p
1 solutions

Answer 362028 by jim_thompson5910(28476) About Me  on 2012-01-11 21:22:22 (Show Source):
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4-2p=8%2B5p Start with the given equation.


-2p=8%2B5p-4 Subtract 4 from both sides.


-2p-5p=8-4 Subtract 5p from both sides.


-7p=8-4 Combine like terms on the left side.


-7p=4 Combine like terms on the right side.


p=%284%29%2F%28-7%29 Divide both sides by -7 to isolate p.


p=-4%2F7 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is p=-4%2F7

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Linear-systems/556061: I'm having trouble with System of Linear Equations by Substitution.
One of the problems I need help is,
"Solve the linear system using substitution"
-5x+3y=51
y=10x-8
------
What I did is
-5x+3y=51
y=10x-8
-5x+3(10x-8)=51
-5x+30x-8=51
25x-8=51
25x=75
x=3
and my answer is (3,51)
I don't think it's correct.


1 solutions

Answer 362026 by jim_thompson5910(28476) About Me  on 2012-01-11 21:21:04 (Show Source):
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You have x = 3 correct, but y = 51 incorrect.

y = 10x-8

y = 10(3)-8

y = 30-8

y = 22


So the solution is (3,22)

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Linear-equations/556031: Find the slope of the line using the following points:
(2, 5) and (-1, 1)
1 solutions

Answer 362022 by jim_thompson5910(28476) About Me  on 2012-01-11 20:48:32 (Show Source):
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Note: is the first point . So this means that x%5B1%5D=2 and y%5B1%5D=5.
Also, is the second point . So this means that x%5B2%5D=-1 and y%5B2%5D=1.


m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.


m=%281-5%29%2F%28-1-2%29 Plug in y%5B2%5D=1, y%5B1%5D=5, x%5B2%5D=-1, and x%5B1%5D=2


m=%28-4%29%2F%28-1-2%29 Subtract 5 from 1 to get -4


m=%28-4%29%2F%28-3%29 Subtract 2 from -1 to get -3


m=4%2F3 Reduce


So the slope of the line that goes through the points and is m=4%2F3

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Equations/555971: what is the value of the x in the equation 5(x+3)=63-3x?
1 solutions

Answer 362000 by jim_thompson5910(28476) About Me  on 2012-01-11 19:56:58 (Show Source):
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5%28x%2B3%29=63-3x Start with the given equation.


5x%2B15=63-3x Distribute.


5x=63-3x-15 Subtract 15 from both sides.


5x%2B3x=63-15 Add 3x to both sides.


8x=63-15 Combine like terms on the left side.


8x=48 Combine like terms on the right side.


x=%2848%29%2F%288%29 Divide both sides by 8 to isolate x.


x=6 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is x=6

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Money_Word_Problems/555985: The ratio of oranges to grapefruit is 3:2. If there ae 60 fruits, the number of oranges is

1 solutions

Answer 361999 by jim_thompson5910(28476) About Me  on 2012-01-11 19:51:33 (Show Source):
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Let x = # of oranges and y = # of grapefruit

x+y = 60 ---> y = 60-x


3/2 = x/y


3/2 = x/(60-x)


3(60-x) = 2x


180-3x = 2x


180 = 2x+3x


180 = 5x


180/5 = x


36 = x


x = 36


y = 60-x


y = 60-36


y = 24


So there are 36 oranges and 24 grapefruit

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test/555984:
1 solutions

Answer 361997 by jim_thompson5910(28476) About Me  on 2012-01-11 19:46:18 (Show Source):
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Problem missing. Please repost, thanks.


Equations/555982: 7/8k=5/6

1 solutions

Answer 361996 by jim_thompson5910(28476) About Me  on 2012-01-11 19:45:37 (Show Source):
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7/8k=5/6


7*6 = 5*8k


42 = 40k


42/40 = k


21/20 = k


k = 21/20

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Equations/555980: 24/16=3/4a
1 solutions

Answer 361995 by jim_thompson5910(28476) About Me  on 2012-01-11 19:44:09 (Show Source):
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24/16=3/4a


24*4a = 16*3


96a = 48


a = 48/96


a = 1/2

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Equations/555979: 2/5t=12/25
1 solutions

Answer 361994 by jim_thompson5910(28476) About Me  on 2012-01-11 19:42:35 (Show Source):
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2/5t=12/25


2*25 = 12*5t


50 = 60t


50/60 = t


5/6 = t


t = 5/6

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Polynomials-and-rational-expressions/555851:
1 solutions

Answer 361973 by jim_thompson5910(28476) About Me  on 2012-01-11 17:55:49 (Show Source):
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problem missing


test/555855:
1 solutions

Answer 361972 by jim_thompson5910(28476) About Me  on 2012-01-11 17:55:32 (Show Source):
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problem missing


Proportions/555865: how d i sovle this problem 7/3=52/n n=

1 solutions

Answer 361971 by jim_thompson5910(28476) About Me  on 2012-01-11 17:52:37 (Show Source):
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7/3=52/n

7n=52*3

7n = 156

n = 156/7

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absolute-value/555864: Simplify the absolute value expression of 13
1 solutions

Answer 361969 by jim_thompson5910(28476) About Me  on 2012-01-11 17:51:20 (Show Source):


Complex_Numbers/555866: -9i(10i+3)
1 solutions

Answer 361968 by jim_thompson5910(28476) About Me  on 2012-01-11 17:51:01 (Show Source):
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-9i(10i+3)

-9i(10i)-9i(3)

-90i^2-27i

-90(-1)-27i

90-27i

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Equations/555854: 9(m+2)=-6(m+7)
1 solutions

Answer 361964 by jim_thompson5910(28476) About Me  on 2012-01-11 17:38:48 (Show Source):
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9%28m%2B2%29=-6%28m%2B7%29 Start with the given equation.


9m%2B18=-6m-42 Distribute.


9m=-6m-42-18 Subtract 18 from both sides.


9m%2B6m=-42-18 Add 6m to both sides.


15m=-42-18 Combine like terms on the left side.


15m=-60 Combine like terms on the right side.


m=%28-60%29%2F%2815%29 Divide both sides by 15 to isolate m.


m=-4 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is m=-4

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