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Recent problems solved by '55305'

55305 answered: 76 problems
Jump to solutions: 0..29 , 30..59 , 60..89, >>Next

Linear-equations/694719: HEY EVERYBODY .. I NEED SOME HELP SOLVE THIS EXPRESSION..
2x+5y = 20
-3x+2y= 12
I HAVE TO FIND THE X- COORDINATE..
1 solutions
Answer 428140 by 55305(76) About Me  on 2012-12-16 08:37:43 (Show Source):
You can put this solution on YOUR website!
We can solve this by system of equations.if you want to find x, we must get rid of y. the LCM of 5 and 2 is 10, so we need to multiply the top equation by 2 and the bottom one by 5.
4x%2B10y=40
-15x%2B10y=60
now we can subtract the bottom equation from the top to get:
(4x+10y=40)
-(-15x+10y=60)
________________
19x=-20
x=-20/19, if you plug that into any of the equations, y would equal 84/19

Numbers_Word_Problems/694722: If the smaller number of consecutive odd integers is doubled the result is 7 more than the larger number of the 2 integers. Find the integers .
1 solutions
Answer 428138 by 55305(76) About Me  on 2012-12-16 08:20:34 (Show Source):
You can put this solution on YOUR website!
Lets assume that the two numbers are n and n+2. Our equation is
2%2An=n%2B2%2B7, which is the same thing as 2n=n+9, and if we subtract n from each side, we get n=9.
The two numbers are 9 and 11

Numbers_Word_Problems/694690: find three consecutive integers such that the first added to 5 times the second exceeds 3 times the last by 51.
1 solutions
Answer 428137 by 55305(76) About Me  on 2012-12-16 07:59:29 (Show Source):
You can put this solution on YOUR website!
First lets assume the three number are n-1,n,and n+1, since the numbers are consecutive integers. Our equation would be
%28n-1%29%2B+5%2An=+3%28n%2B1%29%2B51, which simplifies to
6%2An-1=3%2An%2B54. Now we can solve by subtracting 3n and adding 1 to each side:
3%2An=55
that would mean that n is not an integer, and there are no consecutive integers which have those properties.
Numbers that work out that differ by 1 are 52%2F3 55%2F3 58%2F3

Equations/634889: what are the possible values of x if x2+6x=-8
1 solutions
Answer 399952 by 55305(76) About Me  on 2012-08-05 12:50:55 (Show Source):
You can put this solution on YOUR website!
First lets convert the equation to the form of ax^2+bx+c=0. So the equation now becomes x^2+6x+8=0. Now if we factor, we get (x+4)(x+2)=0 (see for yourself). So means that x+4=0 or x+2=0. If x+4=0, then x=-4. If x+2=0, then x=-2. So x is -4 or-2.

Exponents/633128: what is the simplified answer? 3 to the second power minus thirty divided by 3 divided by 5
4
6
7
9
1 solutions
Answer 398690 by 55305(76) About Me  on 2012-07-30 12:16:25 (Show Source):
You can put this solution on YOUR website!
Did you mean 3%5E2-30%2F3%2F5?
If you did, then to solve it we need to use the order of operations, "PEMDAS"
P(Parentheses)
E(Exponents)
M(Multiplication)
D(Division)
A(Addition)
S(Subtraction)
Exponents come before division and subtraction, so lets simplify the exponent. So now the expression becomes 9-30%2F3%2F5. Now for division. 30%2F3%2F5=2. And finally, subtraction. 9-2=7. So the answer is 7.

expressions/633105: Evaluate & show work.
(4x)/(10^2), for x=3
1 solutions
Answer 398686 by 55305(76) About Me  on 2012-07-30 11:47:27 (Show Source):
You can put this solution on YOUR website!
First lets plug into the expression that x=3. So the expression now becomes 4(3)/(10^2), and since 10^2=100 and 4(3)=12, the expression simplifies to 12/100, which is 0.12 or 3/25.

Graphs/633119: I am having problems graphing the equation y=6x-5

1 solutions
Answer 398684 by 55305(76) About Me  on 2012-07-30 11:39:33 (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation -6+x+%2B+1+y+=+-5 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+--6%2F1.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. -5/-6 = 0.833333333333333.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -5/1 = -5.
  • Slope is --6/1 = 6.
  • Equation in slope-intercept form: y=6*x+-5.

�t�e�s�t/632381: hi
1 solutions
Answer 398265 by 55305(76) About Me  on 2012-07-27 14:03:25 (Show Source):
You can put this solution on YOUR website!
Sorry, but there is no question to answer.

Polynomials-and-rational-expressions/632405: simplify the expression -2(4y^2+3z^3+5)+3(2y^2-5z^3+3).
1 solutions
Answer 398260 by 55305(76) About Me  on 2012-07-27 12:23:53 (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Here's what you tried:
  • Graphical form: -2%2A%284y%5E2%2B3z%5E3%2B5%29%2B3%2A%282y%5E2-5z%5E3%2B3%29 simplifies to -2%2Ay%5E2-21%2Az%5E3-1
  • Text form: -2*(4y^2+3z^3+5)+3*(2y^2-5z^3+3) simplifies to -2*y^2-21*z^3-1
  • Cartoon (animation) form: simplify_cartoon%28+-2%2A%284y%5E2%2B3z%5E3%2B5%29%2B3%2A%282y%5E2-5z%5E3%2B3%29+%29
    For tutors: simplify_cartoon( -2*(4y^2+3z^3+5)+3*(2y^2-5z^3+3) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Expanded term -2 by using associative property on %284%2Ay%5E2%2B3%2Az%5E3%2B5%29
It becomes .
Look at .
Multiplied numerator integers
It becomes -highlight_green%28+8+%29%2Ay%5E2-2%2A3%2Az%5E3-2%2A5%2B3%2A%282%2Ay%5E2-5%2Az%5E3%2B3%29.
Look at .
Multiplied numerator integers
It becomes -8%2Ay%5E2-highlight_green%28+6+%29%2Az%5E3-2%2A5%2B3%2A%282%2Ay%5E2-5%2Az%5E3%2B3%29.
Look at .
Multiplied numerator integers
It becomes -8%2Ay%5E2-6%2Az%5E3-highlight_green%28+10+%29%2B3%2A%282%2Ay%5E2-5%2Az%5E3%2B3%29.
Look at -8%2Ay%5E2-6%2Az%5E3-highlight_red%28+10+%29%2B3%2A%282%2Ay%5E2-5%2Az%5E3%2B3%29.
Moved -10 to the right of expression
It becomes -8%2Ay%5E2-6%2Az%5E3%2B3%2A%282%2Ay%5E2-5%2Az%5E3%2B3%29-highlight_green%28+10+%29.
Look at -8%2Ay%5E2-6%2Az%5E3%2Bhighlight_red%28+3%2A%282%2Ay%5E2-5%2Az%5E3%2B3%29+%29-10.
Expanded term 3 by using associative property on %282%2Ay%5E2-5%2Az%5E3%2B3%29
It becomes .
Look at .
Multiplied numerator integers
It becomes -8%2Ay%5E2-6%2Az%5E3%2Bhighlight_green%28+6+%29%2Ay%5E2-3%2A5%2Az%5E3%2B3%2A3-10.
Look at .
Multiplied numerator integers
It becomes -8%2Ay%5E2-6%2Az%5E3%2B6%2Ay%5E2-highlight_green%28+15+%29%2Az%5E3%2B3%2A3-10.
Look at .
Multiplied numerator integers
It becomes -8%2Ay%5E2-6%2Az%5E3%2B6%2Ay%5E2-15%2Az%5E3%2Bhighlight_green%28+9+%29-10.
Look at -8%2Ay%5E2-6%2Az%5E3%2B6%2Ay%5E2-15%2Az%5E3%2Bhighlight_red%28+9+%29-highlight_red%28+10+%29.
Added fractions or integers together
It becomes -8%2Ay%5E2-6%2Az%5E3%2B6%2Ay%5E2-15%2Az%5E3%2Bhighlight_green%28+-1+%29.
Look at -8%2Ay%5E2-6%2Az%5E3%2B6%2Ay%5E2-15%2Az%5E3%2Bhighlight_red%28+-1+%29.
Removed extra sign in front of -1
It becomes -8%2Ay%5E2-6%2Az%5E3%2B6%2Ay%5E2-15%2Az%5E3-highlight_green%28+1+%29.
Look at -highlight_red%28+8%2Ay%5E2+%29-6%2Az%5E3%2Bhighlight_red%28+6%2Ay%5E2+%29-15%2Az%5E3-1.
Eliminated similar terms highlight_red%28+-8%2Ay%5E2+%29,highlight_red%28+6%2Ay%5E2+%29 replacing them with highlight_green%28+%28-8%2B6%29%2Ay%5E2+%29
It becomes highlight_green%28+%28-8%2B6%29%2Ay%5E2+%29-6%2Az%5E3-15%2Az%5E3-1.
Look at %28-8%2B6%29%2Ay%5E2-highlight_red%28+6%2Az%5E3+%29-highlight_red%28+15%2Az%5E3+%29-1.
Eliminated similar terms highlight_red%28+-6%2Az%5E3+%29,highlight_red%28+-15%2Az%5E3+%29 replacing them with highlight_green%28+%28-6-15%29%2Az%5E3+%29
It becomes %28-8%2B6%29%2Ay%5E2%2Bhighlight_green%28+%28-6-15%29%2Az%5E3+%29-1.
Look at %28-highlight_red%28+8+%29%2Bhighlight_red%28+6+%29%29%2Ay%5E2%2B%28-6-15%29%2Az%5E3-1.
Added fractions or integers together
It becomes %28highlight_green%28+-2+%29%29%2Ay%5E2%2B%28-6-15%29%2Az%5E3-1.
Look at %28-2%29%2Ay%5E2%2B%28-highlight_red%28+6+%29-highlight_red%28+15+%29%29%2Az%5E3-1.
Added fractions or integers together
It becomes %28-2%29%2Ay%5E2%2B%28highlight_green%28+-21+%29%29%2Az%5E3-1.
Look at %28highlight_red%28+-2+%29%29%2Ay%5E2%2B%28-21%29%2Az%5E3-1.
Removed extra sign in front of -2
It becomes %28-highlight_green%28+2+%29%29%2Ay%5E2%2B%28-21%29%2Az%5E3-1.
Look at %28-2%29%2Ay%5E2%2B%28highlight_red%28+-21+%29%29%2Az%5E3-1.
Removed extra sign in front of -21
It becomes %28-2%29%2Ay%5E2%2B%28-highlight_green%28+21+%29%29%2Az%5E3-1.
Look at highlight_red%28+%28-highlight_red%28+2+%29%29%2Ay%5E2+%29%2B%28-21%29%2Az%5E3-1.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes -highlight_green%28+2+%29%2Ay%5E2%2B%28-21%29%2Az%5E3-1.
Look at -2%2Ay%5E2%2Bhighlight_red%28+%28-highlight_red%28+21+%29%29%2Az%5E3+%29-1.
Remove unneeded parentheses around factor highlight_red%28+21+%29
It becomes -2%2Ay%5E2-highlight_green%28+21+%29%2Az%5E3-1.
Result: -2%2Ay%5E2-21%2Az%5E3-1

Universal Simplifier and Solver


Done!

Expressions-with-variables/632150: y-3=9
1 solutions
Answer 398041 by 55305(76) About Me  on 2012-07-26 13:21:31 (Show Source):
You can put this solution on YOUR website!
If we add 3 to each side of the equation, we get y=12.

Percentage-and-ratio-word-problems/632135: If a is 50% of b, then b is what percent of a?

1 solutions
Answer 398038 by 55305(76) About Me  on 2012-07-26 13:01:45 (Show Source):
You can put this solution on YOUR website!
If a is 50% of b, that means a is half of b, and b is twice a. so the answer is 200%.

Quadratic_Equations/631928: The measured dimensions of a rectangle are 8m by 4m to the nearest whole unit. Find the minumum and maximum possible areas of the rectangle
1 solutions
Answer 398016 by 55305(76) About Me  on 2012-07-26 11:53:47 (Show Source):
You can put this solution on YOUR website!
Minimum: 7.5*3.5=26.25 m^2
Maximum: 8.4999999...*4.4999999..., which is about 38.24999998 m^2.

Exponents/632108: (x-1)(x^4+x^3+x^2+x+1) (Multiply)

Please help me thanks so much :)

1 solutions
Answer 398012 by 55305(76) About Me  on 2012-07-26 11:26:16 (Show Source):
You can put this solution on YOUR website!
First lets multiply everything in the second set of parentheses by x. So we get x^5+x^4+x^3+x^2+x. Now lets multiply everything in the second set of parentheses by 1 and subtract that from x^5+x^4+x^3+x^2+x. So (x^5+x^4+x^3+x^2+x)-(x^4+x^3+x^2+x+1)= x^5-1. So the answer is x^5-1.

Square-cubic-other-roots/631892: SIMPLIFY : √m^2/n^3
Please show work through steps so I can understand. THank you so much !!!! :)
1 solutions
Answer 397902 by 55305(76) About Me  on 2012-07-25 17:43:18 (Show Source):
You can put this solution on YOUR website!
Did you mean sqrt%28m%5E2%2Fn%5E3%29, or did you mean sqrt%28m%5E2%29%2Fn%5E3. I'll just solve for both.
sqrt%28m%5E2%2Fn%5E3%29
The square root of m^2 is just m. The square root of n^3 is n to the power of 3/2. So the answer is m%5E2%2Fn%5E%283%2F2%29. (sorry that got a little messed up)
sqrt%28m%5E2%29%2Fn%5E3
The square root of m^2 is m, as I told you before. So the answer is m%2Fn%5E3.

Equations/631913: What are the solutions to |4w+12|=16?
1 solutions
Answer 397896 by 55305(76) About Me  on 2012-07-25 17:20:15 (Show Source):
You can put this solution on YOUR website!
|4w+12|=16 means that 4w+12=-16, or 4w+12=16. If 4w+12=16, then 4w=4 and w would be equal to 1. If 4w+12=-16, then 4w=-28 and w would be equal to -7. so that w=-7 or 1.

Equations/631752: 5x^2= 2 + 3x
1 solutions
Answer 397818 by 55305(76) About Me  on 2012-07-25 11:57:02 (Show Source):
You can put this solution on YOUR website!
First lets convert this equation to the form ax^2+bx+c=0. So now the equation is 5x^2-3x-2=0. And if we factor that, we get (5x+2)(x-1)=0. So that means either 5x+2=0, or x-1=0. If x-1=0, then x=1. If 5x+2=0, then x=-0.4. So x is either 1 or -0.4.

Equations/631753: x^2 - 4x - 3= 0
1 solutions
Answer 397813 by 55305(76) About Me  on 2012-07-25 11:36:11 (Show Source):
You can put this solution on YOUR website!
The formula for completing the square is x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+, so lets plug the numbers in where a=1, b=-4, and c=-3. So we get x+=+%28-%28-4%29+%2B-+sqrt%28+-4%5E2-4%2A1%2A-3+%29%29%2F%282%2A1%29+, which simplifies to x+=+%284+%2B-+sqrt%28+16-%28-12%29%29%29%2F2+, which simplifies to x+=+%284+%2B-+sqrt%2828%29%29%2F2+, which simplifies to x+=+%284+%2B-+2%2A+sqrt%287%29%29%2F2+, which simplifies to x+=+2+%2B-++sqrt%287%29+. I hope you can understand that!

Miscellaneous_Word_Problems/631783: A farmer sold 50 apples and 20 oranges for a total of $30.00. The apples were 4/5 the price of the oranges. what is the price of each apple and each orange? Write a algebraic equation and solve.
1 solutions
Answer 397799 by 55305(76) About Me  on 2012-07-25 10:49:12 (Show Source):
You can put this solution on YOUR website!
First lets assume that the cost of an orange is x. That means that the cost of an apple is 4/5*x. So the cost of 50 apples and 20 oranges is 50*4/5*x+20x. Since the cost of 50 apples and 20 oranges is $30, lets set that equal to 30. So we get 50*4/5*x+20x=30, which simplifies to 40x+20x=30, and that simplified is 60x=30. and if we divide each side by 60, we get x=0.50. That means an orange costs $0.50, and an apple costs 4/5 of that price, or $0.40.

Equations/631787: Solve for m
c=1/2 mp
1 solutions
Answer 397796 by 55305(76) About Me  on 2012-07-25 10:31:36 (Show Source):
You can put this solution on YOUR website!
First lets multiply everything by 2 to get rid of the fraction. So the equation now becomes 2c=mp. Now lets divide everything by p to get m by itself. So that means m=%282%2Ac%29%2Fp.

Exponents/631768: Add:
(4x^3-3x+9)+(-2x^2-4)+(8x+3x^3)

Subtract:
(7x^2-3x+1)-(9x^2-7x-3)

I need help ASAP please and thank you so much!


1 solutions
Answer 397793 by 55305(76) About Me  on 2012-07-25 10:22:31 (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Here's what you tried:
  • Graphical form: %284x%5E3-3x%2B9%29%2B%28-2x%5E2-4%29%2B%288x%2B3x%5E3%29 simplifies to 7%2Ax%5E3%2B5%2Ax-2%2Ax%5E2%2B5
  • Text form: (4x^3-3x+9)+(-2x^2-4)+(8x+3x^3) simplifies to 7*x^3+5*x-2*x^2+5
  • Cartoon (animation) form: simplify_cartoon%28+%284x%5E3-3x%2B9%29%2B%28-2x%5E2-4%29%2B%288x%2B3x%5E3%29+%29
    For tutors: simplify_cartoon( (4x^3-3x+9)+(-2x^2-4)+(8x+3x^3) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around terms highlight_red%28+4%2Ax%5E3+%29,highlight_red%28+-3%2Ax+%29,highlight_red%28+9+%29
It becomes .
Look at 4%2Ax%5E3-3%2Ax%2B9%2Bhighlight_red%28+%28-2%2Ax%5E2-4%29+%29%2B%288%2Ax%2B3%2Ax%5E3%29.
Remove unneeded parentheses around terms highlight_red%28+-2%2Ax%5E2+%29,highlight_red%28+-4+%29
It becomes .
Look at 4%2Ax%5E3-3%2Ax%2B9-2%2Ax%5E2-4%2Bhighlight_red%28+%288%2Ax%2B3%2Ax%5E3%29+%29.
Remove unneeded parentheses around terms highlight_red%28+8%2Ax+%29,highlight_red%28+3%2Ax%5E3+%29
It becomes .
Look at .
Added fractions or integers together
It becomes 4%2Ax%5E3-3%2Ax%2Bhighlight_green%28+5+%29-2%2Ax%5E2%2B8%2Ax%2B3%2Ax%5E3.
Look at 4%2Ax%5E3-3%2Ax%2Bhighlight_red%28+5+%29-2%2Ax%5E2%2B8%2Ax%2B3%2Ax%5E3.
Moved 5 to the right of expression
It becomes 4%2Ax%5E3-3%2Ax-2%2Ax%5E2%2B8%2Ax%2B3%2Ax%5E3%2Bhighlight_green%28+5+%29.
Look at highlight_red%28+4%2Ax%5E3+%29-3%2Ax-2%2Ax%5E2%2B8%2Ax%2Bhighlight_red%28+3%2Ax%5E3+%29%2B5.
Eliminated similar terms highlight_red%28+4%2Ax%5E3+%29,highlight_red%28+3%2Ax%5E3+%29 replacing them with highlight_green%28+%284%2B3%29%2Ax%5E3+%29
It becomes highlight_green%28+%284%2B3%29%2Ax%5E3+%29-3%2Ax-2%2Ax%5E2%2B8%2Ax%2B5.
Look at %284%2B3%29%2Ax%5E3-highlight_red%28+3%2Ax+%29-2%2Ax%5E2%2Bhighlight_red%28+8%2Ax+%29%2B5.
Eliminated similar terms highlight_red%28+-3%2Ax+%29,highlight_red%28+8%2Ax+%29 replacing them with highlight_green%28+%28-3%2B8%29%2Ax+%29
It becomes %284%2B3%29%2Ax%5E3%2Bhighlight_green%28+%28-3%2B8%29%2Ax+%29-2%2Ax%5E2%2B5.
Look at .
Added fractions or integers together
It becomes %28highlight_green%28+7+%29%29%2Ax%5E3%2B%28-3%2B8%29%2Ax-2%2Ax%5E2%2B5.
Look at %287%29%2Ax%5E3%2B%28-highlight_red%28+3+%29%2Bhighlight_red%28+8+%29%29%2Ax-2%2Ax%5E2%2B5.
Added fractions or integers together
It becomes %287%29%2Ax%5E3%2B%28highlight_green%28+5+%29%29%2Ax-2%2Ax%5E2%2B5.
Look at highlight_red%28+%28highlight_red%28+7+%29%29%2Ax%5E3+%29%2B%285%29%2Ax-2%2Ax%5E2%2B5.
Remove unneeded parentheses around factor highlight_red%28+7+%29
It becomes highlight_green%28+7+%29%2Ax%5E3%2B%285%29%2Ax-2%2Ax%5E2%2B5.
Look at 7%2Ax%5E3%2Bhighlight_red%28+%28highlight_red%28+5+%29%29%2Ax+%29-2%2Ax%5E2%2B5.
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes 7%2Ax%5E3%2Bhighlight_green%28+5+%29%2Ax-2%2Ax%5E2%2B5.
Result: 7%2Ax%5E3%2B5%2Ax-2%2Ax%5E2%2B5

Universal Simplifier and Solver


Done!

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Here's what you tried:
  • Graphical form: %287x%5E2-3x%2B1%29-%289x%5E2-7x-3%29 simplifies to -2%2Ax%5E2%2B4%2Ax%2B4
  • Text form: (7x^2-3x+1)-(9x^2-7x-3) simplifies to -2*x^2+4*x+4
  • Cartoon (animation) form: simplify_cartoon%28+%287x%5E2-3x%2B1%29-%289x%5E2-7x-3%29+%29
    For tutors: simplify_cartoon( (7x^2-3x+1)-(9x^2-7x-3) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%287%2Ax%5E2-3%2Ax%2B1%29+%29-%289%2Ax%5E2-7%2Ax-3%29.
Remove unneeded parentheses around terms highlight_red%28+7%2Ax%5E2+%29,highlight_red%28+-3%2Ax+%29,highlight_red%28+1+%29
It becomes .
Look at 7%2Ax%5E2-3%2Ax%2B1-highlight_red%28+%289%2Ax%5E2-7%2Ax-3%29+%29.
Remove unneeded parentheses around terms highlight_red%28+-9%2Ax%5E2+%29,highlight_red%28+7%2Ax+%29,highlight_red%28+3+%29
It becomes .
Look at 7%2Ax%5E2-3%2Ax%2Bhighlight_red%28+1+%29-9%2Ax%5E2%2B7%2Ax%2Bhighlight_red%28+3+%29.
Added fractions or integers together
It becomes 7%2Ax%5E2-3%2Ax%2Bhighlight_green%28+4+%29-9%2Ax%5E2%2B7%2Ax.
Look at 7%2Ax%5E2-3%2Ax%2Bhighlight_red%28+4+%29-9%2Ax%5E2%2B7%2Ax.
Moved 4 to the right of expression
It becomes 7%2Ax%5E2-3%2Ax-9%2Ax%5E2%2B7%2Ax%2Bhighlight_green%28+4+%29.
Look at highlight_red%28+7%2Ax%5E2+%29-3%2Ax-highlight_red%28+9%2Ax%5E2+%29%2B7%2Ax%2B4.
Eliminated similar terms highlight_red%28+7%2Ax%5E2+%29,highlight_red%28+-9%2Ax%5E2+%29 replacing them with highlight_green%28+%287-9%29%2Ax%5E2+%29
It becomes highlight_green%28+%287-9%29%2Ax%5E2+%29-3%2Ax%2B7%2Ax%2B4.
Look at %287-9%29%2Ax%5E2-highlight_red%28+3%2Ax+%29%2Bhighlight_red%28+7%2Ax+%29%2B4.
Eliminated similar terms highlight_red%28+-3%2Ax+%29,highlight_red%28+7%2Ax+%29 replacing them with highlight_green%28+%28-3%2B7%29%2Ax+%29
It becomes %287-9%29%2Ax%5E2%2Bhighlight_green%28+%28-3%2B7%29%2Ax+%29%2B4.
Look at %28highlight_red%28+7+%29-highlight_red%28+9+%29%29%2Ax%5E2%2B%28-3%2B7%29%2Ax%2B4.
Added fractions or integers together
It becomes %28highlight_green%28+-2+%29%29%2Ax%5E2%2B%28-3%2B7%29%2Ax%2B4.
Look at %28-2%29%2Ax%5E2%2B%28-highlight_red%28+3+%29%2Bhighlight_red%28+7+%29%29%2Ax%2B4.
Added fractions or integers together
It becomes %28-2%29%2Ax%5E2%2B%28highlight_green%28+4+%29%29%2Ax%2B4.
Look at %28highlight_red%28+-2+%29%29%2Ax%5E2%2B%284%29%2Ax%2B4.
Removed extra sign in front of -2
It becomes %28-highlight_green%28+2+%29%29%2Ax%5E2%2B%284%29%2Ax%2B4.
Look at highlight_red%28+%28-highlight_red%28+2+%29%29%2Ax%5E2+%29%2B%284%29%2Ax%2B4.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes -highlight_green%28+2+%29%2Ax%5E2%2B%284%29%2Ax%2B4.
Look at -2%2Ax%5E2%2Bhighlight_red%28+%28highlight_red%28+4+%29%29%2Ax+%29%2B4.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes -2%2Ax%5E2%2Bhighlight_green%28+4+%29%2Ax%2B4.
Result: -2%2Ax%5E2%2B4%2Ax%2B4

Universal Simplifier and Solver


Done!

Equations/630990: Multiply b/s by a
1 solutions
Answer 397792 by 55305(76) About Me  on 2012-07-25 10:19:09 (Show Source):

Equations/629714: 2x^2+10x-8=0
1 solutions
Answer 397666 by 55305(76) About Me  on 2012-07-24 18:43:16 (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Here's what you tried:
  • This is an equation! Solutions: x=0.701562118716424,x=-5.70156211871642.
  • Graphical form: Equation 2x%5E2%2B10x-8=0 was fully solved.
  • Text form: 2x^2+10x-8=0 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+2x%5E2%2B10x-8=0+%29
    For tutors: simplify_cartoon( 2x^2+10x-8=0 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+2%2Ax%5E2%2B10%2Ax-8+%29=0.
Equation highlight_red%28+2%2Ax%5E2%2B10%2Ax-8=0+%29 is a quadratic equation: 2*x^2+10*x-8 =0, and has solutions 0.701562118716424,-5.70156211871642
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=0.701562118716424,x=-5.70156211871642.

Universal Simplifier and Solver


Done!

Polynomials-and-rational-expressions/631432: what is (3a-5)-(5a+1)?
1 solutions
Answer 397570 by 55305(76) About Me  on 2012-07-24 12:59:28 (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Here's what you tried:
  • Graphical form: %283a-5%29-%285a%2B1%29 simplifies to -2%2Aa-6
  • Text form: (3a-5)-(5a+1) simplifies to -2*a-6
  • Cartoon (animation) form: simplify_cartoon%28+%283a-5%29-%285a%2B1%29+%29
    For tutors: simplify_cartoon( (3a-5)-(5a+1) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%283%2Aa-5%29+%29-%285%2Aa%2B1%29.
Remove unneeded parentheses around terms highlight_red%28+3%2Aa+%29,highlight_red%28+-5+%29
It becomes highlight_green%28+3%2Aa+%29-highlight_green%28+5+%29-%285%2Aa%2B1%29.
Look at 3%2Aa-5-highlight_red%28+%285%2Aa%2B1%29+%29.
Remove unneeded parentheses around terms highlight_red%28+-5%2Aa+%29,highlight_red%28+-1+%29
It becomes 3%2Aa-5-highlight_green%28+5%2Aa+%29-highlight_green%28+1+%29.
Look at 3%2Aa-highlight_red%28+5+%29-5%2Aa-highlight_red%28+1+%29.
Added fractions or integers together
It becomes 3%2Aa%2Bhighlight_green%28+-6+%29-5%2Aa.
Look at 3%2Aa%2Bhighlight_red%28+-6+%29-5%2Aa.
Moved -6 to the right of expression
It becomes 3%2Aa-5%2Aa%2Bhighlight_green%28+-6+%29.
Look at 3%2Aa-5%2Aa%2Bhighlight_red%28+-6+%29.
Removed extra sign in front of -6
It becomes 3%2Aa-5%2Aa-highlight_green%28+6+%29.
Look at highlight_red%28+3%2Aa+%29-highlight_red%28+5%2Aa+%29-6.
Eliminated similar terms highlight_red%28+3%2Aa+%29,highlight_red%28+-5%2Aa+%29 replacing them with highlight_green%28+%283-5%29%2Aa+%29
It becomes highlight_green%28+%283-5%29%2Aa+%29-6.
Look at %28highlight_red%28+3+%29-highlight_red%28+5+%29%29%2Aa-6.
Added fractions or integers together
It becomes %28highlight_green%28+-2+%29%29%2Aa-6.
Look at %28highlight_red%28+-2+%29%29%2Aa-6.
Removed extra sign in front of -2
It becomes %28-highlight_green%28+2+%29%29%2Aa-6.
Look at highlight_red%28+%28-highlight_red%28+2+%29%29%2Aa+%29-6.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes -highlight_green%28+2+%29%2Aa-6.
Result: -2%2Aa-6

Universal Simplifier and Solver


Done!

Distributive-associative-commutative-properties/631435: Can you help me solve this: Apply the distributive property. Then simplify by combining like terms: (2w+4)(-3)+w and +15d%5E2%2B%282-d%294d+?
1 solutions
Answer 397569 by 55305(76) About Me  on 2012-07-24 12:52:31 (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Here's what you tried:
  • Graphical form: %282w%2B4%29%2A%28-3%29%2Bw simplifies to -5%2Aw-12
  • Text form: (2w+4)*(-3)+w simplifies to -5*w-12
  • Cartoon (animation) form: simplify_cartoon%28+%282w%2B4%29%2A%28-3%29%2Bw+%29
    For tutors: simplify_cartoon( (2w+4)*(-3)+w )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%282%2Aw%2B4%29%2A%28-highlight_red%28+3+%29%29+%29%2Bw.
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes -%282%2Aw%2B4%29%2Ahighlight_green%28+3+%29%2Bw.
Look at -highlight_red%28+%282%2Aw%2B4%29%2A3+%29%2Bw.
Expanded term -3 by using associative property on %282%2Aw%2B4%29
It becomes -highlight_green%28+3%2A2%2Aw+%29-highlight_green%28+3%2A4+%29%2Bw.
Look at -highlight_red%28+3+%29%2Ahighlight_red%28+2+%29%2Aw-3%2A4%2Bw.
Multiplied numerator integers
It becomes -highlight_green%28+6+%29%2Aw-3%2A4%2Bw.
Look at -6%2Aw-highlight_red%28+3+%29%2Ahighlight_red%28+4+%29%2Bw.
Multiplied numerator integers
It becomes -6%2Aw-highlight_green%28+12+%29%2Bw.
Look at -6%2Aw-highlight_red%28+12+%29%2Bw.
Moved -12 to the right of expression
It becomes -6%2Aw%2Bw-highlight_green%28+12+%29.
Look at -highlight_red%28+6%2Aw+%29%2Bhighlight_red%28+w+%29-12.
Eliminated similar terms highlight_red%28+-6%2Aw+%29,highlight_red%28+w+%29 replacing them with highlight_green%28+%28-6%2B1%29%2Aw+%29
It becomes highlight_green%28+%28-6%2B1%29%2Aw+%29-12.
Look at %28-highlight_red%28+6+%29%2Bhighlight_red%28+1+%29%29%2Aw-12.
Added fractions or integers together
It becomes %28highlight_green%28+-5+%29%29%2Aw-12.
Look at %28highlight_red%28+-5+%29%29%2Aw-12.
Removed extra sign in front of -5
It becomes %28-highlight_green%28+5+%29%29%2Aw-12.
Look at highlight_red%28+%28-highlight_red%28+5+%29%29%2Aw+%29-12.
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes -highlight_green%28+5+%29%2Aw-12.
Result: -5%2Aw-12

Universal Simplifier and Solver


Done!

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Here's what you tried:
  • Graphical form: 15d%5E2%2B%282-d%29%2A4d simplifies to 11%2Ad%5E2%2B8%2Ad
  • Text form: 15d^2+(2-d)*4d simplifies to 11*d^2+8*d
  • Cartoon (animation) form: simplify_cartoon%28+15d%5E2%2B%282-d%29%2A4d+%29
    For tutors: simplify_cartoon( 15d^2+(2-d)*4d )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 15%2Ad%5E2%2B%28highlight_red%28+2+%29-d%29%2A4%2Ad.
Moved 2 to the right of expression
It becomes 15%2Ad%5E2%2B%28-d%2Bhighlight_green%28+2+%29%29%2A4%2Ad.
Look at 15%2Ad%5E2%2Bhighlight_red%28+%28-d%2B2%29%2A4%2Ad+%29.
Expanded term 4%2Ad by using associative property on %28-d%2B2%29
It becomes 15%2Ad%5E2-highlight_green%28+4%2Ad%2Ad+%29%2Bhighlight_green%28+4%2Ad%2A2+%29.
Look at 15%2Ad%5E2-4%2Ad%2Ad%2Bhighlight_red%28+4+%29%2Ad%2Ahighlight_red%28+2+%29.
Multiplied numerator integers
It becomes 15%2Ad%5E2-4%2Ad%2Ad%2Bhighlight_green%28+8+%29%2Ad.
Look at 15%2Ad%5E2-4%2Ahighlight_red%28+d+%29%2Ahighlight_red%28+d+%29%2B8%2Ad.
Reduce similar several occurrences of highlight_red%28+d+%29 to highlight_green%28+d%5E2+%29
It becomes 15%2Ad%5E2-4%2Ahighlight_green%28+d%5E2+%29%2B8%2Ad.
Look at highlight_red%28+15%2Ad%5E2+%29-highlight_red%28+4%2Ad%5E2+%29%2B8%2Ad.
Eliminated similar terms highlight_red%28+15%2Ad%5E2+%29,highlight_red%28+-4%2Ad%5E2+%29 replacing them with highlight_green%28+%2815-4%29%2Ad%5E2+%29
It becomes highlight_green%28+%2815-4%29%2Ad%5E2+%29%2B8%2Ad.
Look at %28highlight_red%28+15+%29-highlight_red%28+4+%29%29%2Ad%5E2%2B8%2Ad.
Added fractions or integers together
It becomes %28highlight_green%28+11+%29%29%2Ad%5E2%2B8%2Ad.
Look at highlight_red%28+%28highlight_red%28+11+%29%29%2Ad%5E2+%29%2B8%2Ad.
Remove unneeded parentheses around factor highlight_red%28+11+%29
It becomes highlight_green%28+11+%29%2Ad%5E2%2B8%2Ad.
Result: 11%2Ad%5E2%2B8%2Ad

Universal Simplifier and Solver


Done!

Square-cubic-other-roots/631420: Please show all of the work steps so I can understand how this is solved. This problem has been quite difficult for me. Thank you so much !!! :)
Simplify: 3√13/3
1 solutions
Answer 397557 by 55305(76) About Me  on 2012-07-24 12:25:10 (Show Source):
You can put this solution on YOUR website!
3√13/3 is the same thing as 3 times the square root of 13 divided by 3. So the two 3's in %283%2Asqrt%2813%29%29%2F3 cancel out, leaving only sqrt%2813%29, and that's your answer.

Percentage-and-ratio-word-problems/631415: there are thirty five students in a math class. sixty percent of the class is girls. how many girls are in the class?
1 solutions
Answer 397553 by 55305(76) About Me  on 2012-07-24 12:13:53 (Show Source):
You can put this solution on YOUR website!
We just need to convert 60% to a decimal and multiply that by 35. So 60%=0.6, and 0.6*35 is 21. So there are 21 girls in the class.

Equations/631392: (1). 3(4y-1)=16y+5
(2). 2 2
(6x -5x + 8)-(x + 7x - 1)
1 solutions
Answer 397552 by 55305(76) About Me  on 2012-07-24 12:09:07 (Show Source):
You can put this solution on YOUR website!
1. First we multiply everything in the parentheses by 3. 12y-3=16y+5 Now lets subtract 12y and 5 from each side to get -8=4y. Now lets divide each side by 4 to get -2=y. answer: y is -2
2. Sorry, but I can't understand what you are trying to say.

Equations/631399: m=r-c/r. What is c=?

1 solutions
Answer 397550 by 55305(76) About Me  on 2012-07-24 11:55:23 (Show Source):
You can put this solution on YOUR website!
First lets multiply everything by r to get rid of the fraction. So the equation now becomes mr= r^2-c. Now lets subtract r^2 from each side. mr-r^2=-c Now lets multiply each side by -1 to get the answer. -mr+r^2=c. (note: if you meant m=%28r-c%29%2Fr, I'm sorry for giving you the wrong solution, the solution to that is r-mr=c. I solved for m=r-c%2Fr.)

Rational-functions/631208: How to graph y=-3/4+2
1 solutions
Answer 397429 by 55305(76) About Me  on 2012-07-23 18:35:37 (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
This equation defines a horizontal line. There is no X intercept. Y intercept is 1.25%2F1=1.25
graph%28+500%2C+500%2C+-10%2C+10%2C+1.25+-+10%2C+1.25%2B10%2C+1.25%2F1+%29+

Inequalities/631037: Solve this inequality.
4a - 3a + 5 < -7

1 solutions
Answer 397329 by 55305(76) About Me  on 2012-07-23 12:16:02 (Show Source):
You can put this solution on YOUR website!
First lets simplify the left side of the inequality.
4a-3a+5< -7
a+5< -7
Now lets subtract 5 from each side.
a<-12
And that's your answer.

Exponents/631070: X^2*x^4*x
(-7x)^3
(2b^3)^4
a^8/a^11
NEED HELP ASAP PLEASE-DIRECTIONS SAY SIMPLIFY for these 4 problems! Thanks in advance!
1 solutions
Answer 397328 by 55305(76) About Me  on 2012-07-23 12:09:38 (Show Source):
You can put this solution on YOUR website!
1.We just need to add the powers up. 2+4+1=7 answer: x^7
2.We just find -7^3 and x^3 and multiply them together. -7^3=-343, x^3=x^3, so the answer is -343x^3.
3.We just need to find 2^4*(b^3)^4=16*b^(3*4)=16b^12.
4.We just need to subtract 11 from 8. 8-11=-3, answer:a^-3, which is the same as 1/a^3.