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checkley75 answered: 3664 problems
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Linear-equations/69226: Solve the system by addition
5x-4y=-5
x-2y=-7
Please help solve this
1 solutions
Answer 49240 by checkley75(3666)   on 2007-02-03 17:57:54 (Show Source):
You can put this solution on YOUR website!5X-4Y=-5 NOW MULTIPLY THE SECOND EQUATION BY -5 AND ADD THEM:
-5X+10Y=35
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6Y=30
Y=30/6
Y=5 ANSWER. NOW SUBSTITUTE 5 FOR Y AND SOLVE FOR X THUS:
5X-4*5=-5
5X-20=-5
5X=-5+20
5X=15
X=15/5
X=3 ANSWER
PROOF
3-2*5=-7
3-10=-7
-7=-7
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Polynomials-and-rational-expressions/69230: is 2x-3 a factor of 8x^3-27? Explain why or why not.
1 solutions
Answer 49238 by checkley75(3666) on 2007-02-03 17:41:15 (Show Source):
You can put this solution on YOUR website!IN ORDER FOR (2X-3) TO BE A FACTOR OF (8X^3-27) WHEN DIVIED SHALL HAVE NO REMAINDER.
USING LONG DIVISION WE GET (8X^3-27)/(2X-3)=(4X^2+6X+9). THEREFORE (2X-3) IS A FACTOR OF (8X^3-27).
PROOF
WE MULTIPLY 4X^2+6X+9 BY 2X-3 THUS
------------------------------
4X^2+6X+9
*2X-3
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8X^3+12X^2+18X-12X^2-18X-27 OR
8X^3-27 THEREFORE
(2X-3)(4X^2+6X+9)=8X^3-27 AND (2X-3) IS A FACTOR.
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Complex_Numbers/69133: factor 3y(x-3)-2(x-3)
1 solutions
Answer 49222 by checkley75(3666) on 2007-02-03 11:08:12 (Show Source):
You can put this solution on YOUR website!SEEING AS (X-3) IS COMMON TO BOTH TERMS WE CAN ADD THE TWO MULTIPLIERS THUS
(3Y-2)(X-3)
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THINK OF THE 3Y AS A NUMBER SAY 4
THEN THE ANSWER WOULD BE
(4-2)(X-3) THUS WE HAVE
2(X-3)
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HOPE THIS HELPS
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Numeric_Fractions/69139: the square tiles in mr. cooks math class measures 2 1/4 feet across. the students counted that the classroom is 5 1/3 tiles wide. How wide is mr. cooks classroom?
1 solutions
Answer 49220 by checkley75(3666) on 2007-02-03 11:02:29 (Show Source):
You can put this solution on YOUR website!2.25 FEET IS THE MEASUREMENT OF THE TILES.
GIVEN THAT THE ROOM WIDTH IS 5.33 TILES WIDE WE HAVE A ROOM WIDTH OF
2.25*5.33=26.983125 FEET WIDE.
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Linear-equations/69152: Write the equation of the line passing through each of the given points with the indicated slope. Give your results in slope-intercept form, where possible.
(Rewrite into standard form)
(0,5), m = -3/5
1 solutions
Answer 49216 by checkley75(3666) on 2007-02-03 10:50:42 (Show Source):
You can put this solution on YOUR website!Y=mX+b IS THE STANDARD LINE FORMULA WITH m=SLOPE & b=Y INTERCEPT.
TO FIND THE Y INTERCEPT WE SUBSTITUTE THE POINT VALUES FOR X&Y (0,5) THUS WE GET
5=-3/5*0+b
5=b THEREFORE THE EQUATION IS
Y=-3/5X+5
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Graphs/69112: how many liters of a 10% acid solution must be mixed with a 50% acid solution in order to obtain 20 liters of a 30% solution?
1 solutions
Answer 49188 by checkley75(3666) on 2007-02-02 22:09:45 (Show Source):
You can put this solution on YOUR website!.1(20-x)+.5x=.2*20
2-.1x+.5x=4
.4x=2
x=2/.4
x=5 liters of 50% acid solution
20-5=15 liters of 10% acid solution
proof
.1*15+.5*5=4
1.5+2.5=4
4=4
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MY APPOLOGIES: I MISTAKENLY USED 20% OF 20 LITERS INSTEAD OF 30% OF 20 LITERS:
THUS THE EQUATION SHOULD HAVE BEEN
.1(20-X)+.5X=.3*20
2-.1X+.5X=6
.4X=6-2
.4X=4
X=4/.4
X=10 LITERS OF 50% IS REQUIRED TO MAKE 20 LITERS OF 30%.
I MUST HAVE BEEN HALF ASLEEP WHEN I DID THIS PROBLEM LAST NIGHT. AGAIN I'M SORRY FOR THE MISTAKE.
HOPE THIS WILL NOT DISCOURAGE YOU FROM USING ALGEBRA.COM IN THE FUTURE TO HELP WITH YOUR MATH DIFFICULTIES.
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Geometric_formulas/68982: Please help me solve this equation: 10x-22=(8x+8)^2
I need to solve for x.
1 solutions
Answer 49111 by checkley75(3666) on 2007-02-01 21:14:17 (Show Source):
You can put this solution on YOUR website!10X-22=(8X+8)^2
10X-22=64X^2+128X+64
64X^2+128X-10X+64+22=0
64X^2+118X+86=0
32X^2+59X+43=0
USING THE QUADRATIC EQUATION WE GET
X=(-B+-SQRT[B^2-4*A*C])/2A
X=(-59+-SQRT[-59^2-4*32*43])/2*32
X=(-59+-SQRT[3481-5504])/64
X=(-59+-SQRT-20230/64
X=(-59+-44.98i/64
X=-59/64+44.98i/64
X=-.92+.7i
X=-.92-.7i
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Geometry_Word_Problems/68989: the length of a rectangle is 4m more than the width.The area is 30m squared. Find the width and length.
1 solutions
Answer 49104 by checkley75(3666) on 2007-02-01 20:51:11 (Show Source):
You can put this solution on YOUR website!L*W=30
L=W+4 thus
(W+4)W=30
W^2+4W=30
W^2+4W-30=0
USING THE QUADRATIC EQUATION WE GET
X=(-B+-SQRT[B^2-4QC])/2A
X=(-4+-SQRT16-4*1*-30])/2*1
X=(-4+-SQRT16+120])/2
X=(-4+-SQRT136)/2
X=(-4+-11.66)/2
X=(-4+11.66)/2
X=7.66/2
X=3.83M IS THE WIDTH.
THUS THE LENGTH IS
L*3.83=30
L=30/3.83
L=7.83M IS THE LENGTH
PROOF
3.83*7.83=30
30=30
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Probability-and-statistics/68999: The question is:
IN 1990 the united states population of people over 65 years old was 31.2 million which was 12.6% of the total U.S. population. Find the total population of the U.S. in 1990
1 solutions
Answer 49092 by checkley75(3666) on 2007-02-01 20:08:12 (Show Source):
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Money_Word_Problems/68997: Alicia recieved some money from work. She spent one-fifth of it on gas. Then she spent half of what she had left on clothes. She spent seven dollars at lunch. When she got home she had thirteen dollars left. How much did she have to start with?
1 solutions
Answer 49089 by checkley75(3666) on 2007-02-01 19:58:31 (Show Source):
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Human-and-algebraic-language/68978: The difference between two numbers is 16. Five times the smaller is the same aas 8 less that twice the larger. Find the numbers. I need this to be in a system of two equations in two variables.
1 solutions
Answer 49082 by checkley75(3666) on 2007-02-01 17:45:04 (Show Source):
You can put this solution on YOUR website!X-Y=16 X=Y+16 NOW SUBSTITUTE (Y+16) FOR X IN THE OTHER EQUATION
5X-8=2Y THUS
5(Y+16)-8=2Y
5Y+80-8=2Y
5Y-2Y=+8-80
3Y=-72
Y=-72/3
Y=-24 THUS
X-(-24)=16
X+24=16
X=16-24
X=-8
PROOF
5*-8-8=2*-24
-40-8=-48
-48=-48
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Linear-systems/68974: what are the two coordinates for the problem below:
3x+6y=6
2x-3y=4
1 solutions
Answer 49081 by checkley75(3666) on 2007-02-01 17:35:15 (Show Source):
You can put this solution on YOUR website!3x+6y=6
6y=-3x+6
y=-3x/6+6/6
y=-x/2+1
------------------------
2x-3y=4
-3y=-2x+4
y=-2x/3+4/3
 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -x/2 +1 and y = -2x/3 +4/3).
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Linear-equations/68959: This question is from textbook
If you were asked to solve 2x + 3=4x-12 by the x-intercept method, why would you not get the correct answer by graphing? I am really bad at this, and need to learn it step by step (like talking to a baby!)
1 solutions
Answer 49078 by checkley75(3666) on 2007-02-01 17:19:45 (Show Source):
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Money_Word_Problems/68963: Jack's overtime wage is $3 per hour more than his regular hourly wage. He worked for 5 hours at his regular wage and 4 hours at the overtime wage. He earned $66.00 Find his regular wage.
1 solutions
Answer 49076 by checkley75(3666) on 2007-02-01 17:03:42 (Show Source):
You can put this solution on YOUR website!5x+4(x+3)=66
5x+4x+12=66
9x=66-12
9x=54
x=54/9
x=$6 for regular hours thus the overtime hourly rate=6+3=$9 for the overtime hours.
5*6+4*9=66
30+36=66
66=66
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