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checkley77 answered: 12560 problems
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Money_Word_Problems/167912: At a skating rink, students pay $.75 admission and adults pay $1.25. For one night, the recipts were $85 and 100 people paid. How many people were adults?
1 solutions

Answer 123754 by checkley77(12569) About Me  on 2008-11-16 16:38:27 (Show Source):
You can put this solution on YOUR website!
1.25X+.75(100-X)=85
1.25X+75-.75X=85
.5X=85-75
.5X=10
X=10/.5
X=20 ADULT TICKETS WERE SOLD.
PROOF:
1.25*20+.75(100-20)=85
25+.75*80=85
25+60=85
85=85


Numbers_Word_Problems/167909: Find the number of two-digit positive integers whose digits total 7. I know the answer is 7 (16, 25, 34, 43, 52, 61, 70) but my teacher wants me to show it in an algebraic formula. How do I do that? This question is not from a textbook.
1 solutions

Answer 123753 by checkley77(12569) About Me  on 2008-11-16 16:35:41 (Show Source):
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X+Y=7
MAKE UP A TABLE WITH X=0,1,2,3,4,5,6 & 7 AND SOLVE FOR Y.
0+Y=7
Y=7 OR 07
1+Y=7
Y=7-1
Y=6 OR 16
2=Y=7
Y=7-2
Y=5 OR 25
3=Y=7
Y=7-3
Y=4 OR 34
5+Y=7
Y=7-5
Y=2 OR 52
6+Y=7
Y=7-6
Y=1 OR 61
7+Y=7
Y=7-7
Y=0 OR 70




Distributive-associative-commutative-properties/167895: Help! I am lost.
(5x2 – 3x + 2) + (-3x2 + 9x – 8) – (x2 + 3x – 10)
1 solutions

Answer 123752 by checkley77(12569) About Me  on 2008-11-16 16:27:48 (Show Source):
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IF YOU JUST WANT TO COMBINE THESE TERMS THEN:
(5x^2–3x+2)+(-3x^2+9x–8)–(x^2+3x–10)
5X^2-3X+2-3X^2+9X-8-X^2-3X+10
X^2+3X+4 ans.


Finance/167896: can someone help please:
Find the present value of the future amount. Assume 365 days in a year. Round to the nearest cent.
$15,000 for 110 days; money earns 8%
1 solutions

Answer 123750 by checkley77(12569) About Me  on 2008-11-16 16:19:16 (Show Source):
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15,000(1+.08*110/365)^110/365
15,000(1.0241)^.30137
15,000*1.0072=$15,108.04 ANS.


Rational-functions/167898: I need to solve for x.
4x(x-2)-5x(x-1)=2
I have already taken the steps to make the problem
4x^2-8x-5x^2-5x=2, but that is all I have. I have been trying by "substitution", but have not found the answer. Please help me solve for x.
Thank you,
Rachel
1 solutions

Answer 123748 by checkley77(12569) About Me  on 2008-11-16 16:12:50 (Show Source):
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4x(x-2)-5x(x-1)=2
4X^2-8X-5X^2+5X-2=0
-X^2-3X-2=0
X^2+3X+2=0
(X+2)(X+1)=0
X+2=0
X=-2 ANS.
X+1=0
X=-1 ANS.
PROOFS:
4*-2(-2-2)-5*-2(-2-1)=2
-8*-4+10*-3=2
32-30=2
2=2
4*-1(-1-2)-5*-1(-1-1)=2
-4*-3+5*-2=2
12-10=2


Equations/167901: I have to write an inequality that demonstrates that I wish to spend no less than $6000 and no more than #10000. How do I go about this?

1 solutions

Answer 123747 by checkley77(12569) About Me  on 2008-11-16 16:10:39 (Show Source):
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$6,000$10,000


Rational-functions/167899: I am working with my school website on My Math Lab and this is a question asked. I need to solve for x.
4x(x-2)-5x(x-1)=2
I have already taken the steps to make the problem
4x^2-8x-5x^2-5x=2, but that is all I have. I have been trying by "substitution", but have not found the answer. Please help me solve for x.
Thank you,
Rachel
1 solutions

Answer 123746 by checkley77(12569) About Me  on 2008-11-16 16:09:02 (Show Source):
You can put this solution on YOUR website!
4x(x-2)-5x(x-1)=2
4X^2-8X-5X^2+5X-2=0
-X^2-3X-2=0
X^2+3X+2=0
(X+2)(X+1)=0
X+2=0
X=-2 ANS.
X+1=0
X=-1 ANS.
PROOFS:
4*-2(-2-2)-5*-2(-2-1)=2
-8*-4+10*-3=2
32-30=2
2=2
4*-1(-1-2)-5*-1(-1-1)=2
-4*-3+5*-2=2
12-10=2
2=2


Linear_Algebra/167817: Solve each system by the addition method.
x + y = 7
X – y = 9




x – y = 12
2x + y = 3




2x – y = -5
3x + 2y = 3






3x + 4y = -5
5x + 6y = -7
1 solutions

Answer 123722 by checkley77(12569) About Me  on 2008-11-16 09:54:40 (Show Source):
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x+y=7
x–y=9 add
-------------
2x=16
x=16/2
x=8 ans.
8+y=7
y=7-8
y=-1 ans.
*************************
x–y=12
2x+y=3 add
-------------------
3x=15
x=15/3
x=5 ans.
5-y=12
-y=12-5
-y=7
y=-7 ans.
***********************************
2x–y=-5 multiply this equation by 2 & add.
3x+2y=3
4x-2y=-10
-----------
7x=-7
x=-7/7
x=-1 ans.
2*-1-y=-5
-2-y=-5
-y=-5+2
-y=-3
y=3 ans.
*************************
3x+4y=-5 multiply by 5
5x+6y=-7 multiply by -3 & add.
15x+20y=-25
-15x-18y=21
------------------
2y=-4
y=-4/2
y=-2 ans.
3x+4*-2=-5
3x-8=-5
3x=-5+8
3x=3
x=3/3
x=1 ans.


Square-cubic-other-roots/167824: Find all real or imaginary solutions.
Sqrt(2x^2+x-12)=x
1 solutions

Answer 123719 by checkley77(12569) About Me  on 2008-11-16 09:44:22 (Show Source):
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Sqrt(2x^2+x-12)=x squaring both sides we get:
2x^2+x-12=x^2
2x^2-x^2+x-12=0
x^2+x-12=0
(x+4)(x-3)
x+4=0
x=-4 ans.
x-3
x=3 ans.
Proofs:
sqrt(2*-4^2+(-4)-12=-4
sqrt(2*16-4-12)=-4
sqrt(32-16)=-4
sqrt16=-4
-4=-4
sqrt(2*3^2+3-12)=3
sqrt(2*9+3-12)=3
sqrt(18+3-12)=3
sqrt9=3
3=3


Exponents-negative-and-fractional/167823: Simplify the expression:
(9y^4 x^1/2)^1/2. Please help.
1 solutions

Answer 123717 by checkley77(12569) About Me  on 2008-11-16 09:38:17 (Show Source):
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9y^4 x^1/2)^1/2
SQRT(9Y^4SQRTX)
3Y^2(4THRTX)
OR:%283y%5E2%2A4thrtx%29


Exponential-and-logarithmic-functions/167820: Simplfy by removing non-positive exponents: x to the -1 plus y to the -1 divided by x squared minus y squared.
1 solutions

Answer 123714 by checkley77(12569) About Me  on 2008-11-16 09:20:02 (Show Source):
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(X^-1+Y^-1)/(X^2-Y^2)
(X^-1+Y^-1)/(X+Y)(X-Y)
1/(X+Y)(X+Y)(X-Y)


Numeric_Fractions/167822: Mother spent 1/2 of her money in the first store. She spent 2/3 of her money in the second store. She has $25 left. How much money does she have first?
1 solutions

Answer 123712 by checkley77(12569) About Me  on 2008-11-16 09:05:34 (Show Source):
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x=25+2/3*1/2x+1/2x
x=25+2x/6+x/2
x=25+(2x+3x)/6
x=25+5x/6
x-5x/6=25
x/6=25
x=25*6
x=$150 initial amount Mother had.
Proof:
150=25+2/3*150/2+150/2
150=25+300/6+150/2
150=25+50+75
150=150


Linear_Equations_And_Systems_Word_Problems/167760: john has retired and needs $ 6000 per annum to live. he has $50000 to invest and can invest in bonds at 15 % annual interest or in bank certificates at an annual rate of 7 % .how much money should he invest in each type of investment to get a income of 6000 $ per annum? what if he determines he actually requires an income of 7000 per year
1 solutions

Answer 123676 by checkley77(12569) About Me  on 2008-11-15 21:48:35 (Show Source):
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.15x+.07(50,000-x)=6000
.15x+3,500-.07x=6,000
.08x=6,000-3,500
.08x=2,500
x=2,500/.08
x=$31.250 needs to be invested @ 15%
50,000-31,250=18,750 invested @ 7%
-------------------------------------
.15x+.07(50,000-x)=7000
.15x+3,500-.07x=7,000
.08x=7,000-3,500
.08x=3,500
x=3,500/.08
x=43,750 amount invested @ 15%
50,000-43,750=6,250 invested @ 7%


Miscellaneous_Word_Problems/167771: P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannually, then the polynomial p(1+r/2)^2
represents the value of the investment after 1 year. Rewrite this expression
without parentheses. Evaluate the polynomial if P = $200 and r =10%.
I am so confused can someone please help me? Thank you
1 solutions

Answer 123673 by checkley77(12569) About Me  on 2008-11-15 21:40:19 (Show Source):
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p(1+r/2)^2
200(1+.10/2)^2
200(1.05)^2
200*1.1025=220.50 is the value of the investment after 1 year..


Travel_Word_Problems/167772: Two cars that are 375 miles apart and whose speeds differ by 5 miles per hour,
are moving toward each other. They will meet in hours. What is the speed of each car?

1 solutions

Answer 123671 by checkley77(12569) About Me  on 2008-11-15 21:37:04 (Show Source):
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Did you leave out the number of hours?


expressions/167775: Solve using the square root property:
2x2 = 40

1 solutions

Answer 123670 by checkley77(12569) About Me  on 2008-11-15 21:35:28 (Show Source):
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2x2 = 40
If you mean 2x^2=40 then:
x^2=40/2
x^2=20
x=sqrt20
x=2sqrt5 or 4.4721359 answer.


Polynomials-and-rational-expressions/167666: FACTOR COMPLETELY
-10x^4yz^2-25x^2z^3
1 solutions

Answer 123583 by checkley77(12569) About Me  on 2008-11-15 09:09:34 (Show Source):
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-10x^4yz^2-25x^2z^3
-5X^2Z^2(2X^2Y+5Z) ANSWER.


Polynomials-and-rational-expressions/167681: Factorise:
125x^6 + 59x^3y^3 + 64y^6
1 solutions

Answer 123582 by checkley77(12569) About Me  on 2008-11-15 09:07:16 (Show Source):
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125x^6 + 59x^3y^3 + 64y^6
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
X=(-59+-SQRT[59^2-4*125*64])/2*125
X=(-59+-SQRT[3,481-32,000])/250
X=(-59+-SQRT-28,519)/250
X=(-59+-168.87569i)/250
X=-59/250+-168.87569i/250
X=-0.236+-0.6755i ANSWERS.


Polynomials-and-rational-expressions/167682: This question is from textbook ELEMENTARY AND INTERMEDIATE ALGEBRA
When all of the grocery carts escape from the supermarket,
it takes Reginald 12 minutes to round them up and bring
them back. Because Norman doesn’t make as much per
hour as Reginald, it takes Norman 18 minutes to do the
same job. How long would it take them working together
to complete the roundup?
1 solutions

Answer 123581 by checkley77(12569) About Me  on 2008-11-15 08:59:25 (Show Source):
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(12*18)/(12+18)=216/20=10.8 HOURS WHEN THEY WORK TOGETHER.


Polynomials-and-rational-expressions/167687: This question is from textbook ELEMENTARY AND INTERMEDIATE ALGEBRA
For a certain time period the ratio of the dollar value of
exports to the dollar value of imports for the United States
was 2 to 3. If the value of exports during that time period
was 48 billion dollars, then what was the value of imports?
1 solutions

Answer 123580 by checkley77(12569) About Me  on 2008-11-15 08:57:23 (Show Source):
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E/1=2/3
48/I=2/3
2I=3*48
2I=144
I=144/2
I=$72 BILLION FOR THE IMPORTS.


Rectangles/167691: Find the lenghth of a rectangle when the width is 2 inches shorter and the perimeter is 80. Set up the equation for the perimeter involving only (L)
and then sove the equation for the length and the width.
1 solutions

Answer 123579 by checkley77(12569) About Me  on 2008-11-15 08:53:37 (Show Source):
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W=L-2
2L+2W=80
2L+2(L-2)=80
2L+2L-4=80
4L=80+4
4L=84
L=84/4
L=21 ANSWER FOR THE LENGTH.
W=21-2
W=19 ANSWER FOR THE WIDTH.
PROOF:
2*21+2*19=80
42+38=80
80=80


Exponential-and-logarithmic-functions/167592: I have a word problem that I need help with. I must show my work.
1. In a certain area, the sale price of new single-family homes has increased 4.1% per year since 1992. If a house was purchased in this area in 1992 for $75,000 and the growth continues, what will be sale price in 2006? Use y=a(1+r)^t and round to the nearest cent.
Thanks
1 solutions

Answer 123556 by checkley77(12569) About Me  on 2008-11-14 20:30:20 (Show Source):
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y=a(1+r)^t
75,000(1+.041)^14
75,000(1.041)^14
75,000*1.755=$131,635.03 sale price in 2006.


Percentage-and-ratio-word-problems/167646: Solve for m using just the meaning of multiplication and reasoning (no algebraic manipulation)
a) 15 X 13= 9 X 13 + m X 13
b) 16m=8m+32
1 solutions

Answer 123554 by checkley77(12569) About Me  on 2008-11-14 20:25:35 (Show Source):
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a) 15 X 13= 9 X 13 + m X 13 (eliminate the common X13 terms).
15=9+m
15-9=m
6=m
b) 16m=8m+32
2m=m+4
2m=m+m
thus m=4.


Polynomials-and-rational-expressions/167556: 64 - (B - 2)^3
1 solutions

Answer 123476 by checkley77(12569) About Me  on 2008-11-14 10:25:24 (Show Source):
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64-(b-2)^3
b-2
b-2 (multiply)
-----
b^2-2b-2b+4
b^2-4b+4
b-2 (multiply)
----
b^3-4b^2+4b-2b^2+8b-8
b^3-6b^2+12b-8
64-(b^3-6b^2+12b-8)
64-b^3+6b^2-12b+8
-b^3+6b^2-12b+8+64
b^3-6b^2+12b-72 answer.


Numeric_Fractions/167578: Please help me solve this equation: 1 2/3 - 2 1/2
1 solutions

Answer 123475 by checkley77(12569) About Me  on 2008-11-14 10:09:53 (Show Source):
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1 2/3 - 2 1/2
5/3-5/2
(5*2-5*3)/6
(10-15)/6
-5/6 answer.


Mixture_Word_Problems/167573: 40 liters of pure syrup costs $18. per liter, mixed w/ imitation syrup that cost $8.50 per liter. How much imitation is needed to make a mixture costing $11.00 per liter?
1 solutions

Answer 123474 by checkley77(12569) About Me  on 2008-11-14 10:06:31 (Show Source):
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40*18+8.50x=11(40+x)
720+8.50x=440+11x
8.5x-11x=440-720
-2.50x=-280
x=-280/-2.50
x=112 liters of $8.50 imitation syrup is used.
Proof:
40*18+8.50*112=11(40+112)
720+952=11*152
1,672=1,672


Mixture_Word_Problems/167575: walnuts that cost $4.05 per kilogram were mixed w/ cashews that cost $7.25 per kilogram. How many kilograms of each were used to make a 50 kg. mixture that costs $6.25 per kilogram.(round to nearest 10th).
1 solutions

Answer 123472 by checkley77(12569) About Me  on 2008-11-14 10:00:40 (Show Source):
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7.25x+4.05(50-x)=6.25*50
7.25x+202.5-4.05x=312.50
3.2x=312.50-202.50
3.2x=110
x=110/3.2
x=34.38 kg. of cashews are used.
50-34.38=15.62 kg. of walnuts are used.
Proof:
7.25*34.38+4.05*15.62=312.50
249.26+63.26=312.50
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Rounding to thew nearest pound would be 34 & 16.


Linear-equations/167577: how do I graph...
y=1/3x
1 solutions

Answer 123471 by checkley77(12569) About Me  on 2008-11-14 09:59:04 (Show Source):
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y=1/3x
Set x=0 & solve for y
y=0/3
y=0 or (0,0) is one point.
Set x=3 & solve for y
y=3/3
y=3 or(3,1) is another point.
Now draw a line through these 2 points.
+graph%28+400%2C+400%2C+-5%2C+5%2C+-5%2C+5%2C+y+=+x%2F3%29+ (graph 400x400 pixels, x from -5 to 5, y from -5 to 5, y = x/3).


Mixture_Word_Problems/167576: walnuts that cost $4.05 per kilogram were mixed w/ cashews that cost $7.25 per kilogram. How many kilograms of each were used to make a 50 kg. mixture that costs $6.25 per kilogram.(round to nearest 10th).
1 solutions

Answer 123469 by checkley77(12569) About Me  on 2008-11-14 09:53:08 (Show Source):
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7.25x+4.05(50-x)=6.25*50
7.25x+202.5-4.05x=312.50
3.2x=312.50-202.50
3.2x=110
x=110/3.2
x=34.38 kg. of cashews are used.
50-34.38=15.62 kg. of walnuts are used.
Proof:
7.25*34.38+4.05*15.62=312.50
249.26+63.26=312.50
312.52~312.50


Numeric_Fractions/167535: 2/3 x + 1/6 x = 2
1 solutions

Answer 123422 by checkley77(12569) About Me  on 2008-11-13 22:37:24 (Show Source):
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2/3x+1/6x=2
2x/3+x/6=2
(2*2x+x)/6=2
4x+x=6*2
5x=12
x=12/5 answer.
Proof:
12/5*2/3+12/5*1/6=2
24/15+12/30=2
(2*24+12)/30=2
(48+12)/30=2
60/30=2
2=2


Triangles/167531: This question is from textbook glencoe Mathmatics Geometry
Find x,JM,MN,and JN if triangle JMN is an isosceles triangle with line JM congruent to line MN.
JM=2X-5
MN=3x-9
JN=x-2
T.he book answer is x=4,JM=3,MN=3,JN=2
Please explain how to work
1 solutions

Answer 123419 by checkley77(12569) About Me  on 2008-11-13 22:29:19 (Show Source):
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JM=MN
JM=2X-5
MN=3x-9
JN=x-2
Thus: 2x-5=3x-9
2x-3x=-9+5
-x=-4
x=4 answer.
2*4-5=8-5=3 for JM.
3*4-9=12-9=3 for MN.
4-2=2 for JN.