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checkley77 answered: 12560 problems
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absolute-value/338226: |5n+6|+7=5
1 solutions

Answer 242466 by checkley77(12569) About Me  on 2010-09-02 16:26:07 (Show Source):
You can put this solution on YOUR website!
|5n+6|+7=5
5N+6=5-7
5N+6=-2
5N=-2-6
5N=-8
N=-8/5 ANS.
--------------
5N+6=2
5N=2-6
5N=-4
N=-4/5 ANS.


Triangles/338233: Two angles of a triangle measure 18 and 62 degrees. What is the measure of the third angle?
1 solutions

Answer 242454 by checkley77(12569) About Me  on 2010-09-02 15:27:20 (Show Source):
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18+62+X=180
X=180-18-62
X=180-80
X=100 DEGREES ANS.


Linear-equations/338235: 5/2x-2y=3 Help me solve
1 solutions

Answer 242453 by checkley77(12569) About Me  on 2010-09-02 15:25:11 (Show Source):
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5/2x-2y=3
-2Y=-5X/2+3
Y=-2.5X/2+3/-2
Y=-1.25X-1.5 ANS.
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-1.25x+-1.5%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -1.25x -1.5 )


Miscellaneous_Word_Problems/338236: The speed of train a is 8 mph slower than the speed of train b. Train a travels 220 miles in the same time it takes train b to travel 260 miles. Find the speed of each train
1 solutions

Answer 242452 by checkley77(12569) About Me  on 2010-09-02 15:22:00 (Show Source):
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D=RT
T=D/R
T=220/(X-8)
T=260/X
220/(X-8)=260/X CROSS MULTIPLY.
260(X-8)=220X
260X-2,080=220X
260X-220X=2,080
40X=2.080
X=2,080/40
X=52 MPH. FOR THE FASTER TRAIN.
52-8=44 MPH. FOR THE SLOWER TRAIN.
pROOF:
220/44=260/52
5=5


Miscellaneous_Word_Problems/338238: two sides of a triangle have the same length. The third side measures 2m less than twice the common length. The perimeter of the triangle is 14m. what are the lengths of all three sides?
1 solutions

Answer 242449 by checkley77(12569) About Me  on 2010-09-02 15:15:54 (Show Source):
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x+x+2x-2=14
4x=14+2
4x=16
x=16/4
x=4 ans. for the 2 equal sides.
Proof:
4+4+2*4-2=14
4+4+8-2=14
14=14


Percentage-and-ratio-word-problems/338239: I'm sure i can figure this out if you can just tell me how to translate this into a mathematical equation:
three-fourths of the students in Math 200 recieved a grade of C on their test, and one-fifth recieved an A. if twenty-two more students recieved C's than recieved A's, how many students are in the class?
Thanks!
1 solutions

Answer 242448 by checkley77(12569) About Me  on 2010-09-02 15:12:45 (Show Source):
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3/4x=1/5x+22
3x/4-x/5=22
(3x*5-x*4)/4*5=22
(15x-4x)/20=22 cross multiply.
11x=20*22
11x=440
x=440/11
x=40 ans. for the number of students.
Proof:
3/4*40=1/5*40+22
120/4=40/5+22
30=8+22
30=30


Numbers_Word_Problems/338237: One Number is five times larger than another. the difference of the numbers is 96. find the numbers.
1 solutions

Answer 242443 by checkley77(12569) About Me  on 2010-09-02 14:45:17 (Show Source):
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x=5y
x-y=96
5y-y=96
4y=96
y=96/4
y=24 ans.
x=5*24
x=120 ans.
120-24=96
96=96


Mixture_Word_Problems/338141: one solution is 20% acid and another is 12%. How many cubic centimeters of each solution should be mixed to obtain 100 cubic centimeters of a solution that is 15% acid.
1 solutions

Answer 242391 by checkley77(12569) About Me  on 2010-09-02 10:50:28 (Show Source):
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.20x+.12(100-x)=.15*100
.20x+12-.12x=15
.08x=15-12
.08x=3
x=3/.08
x=37.5 cm^3 of 20% solution is used.
100-37.5=62.5 cm^3 of 12% solution is used.
Proof:
.20*37.5+.12*62.5=.15*100
7.5+7.5=15
15=15


Problems-with-consecutive-odd-even-integers/338144: The product of two positive consecutive integers is 41 more than their sum. Find the integers.
1 solutions

Answer 242390 by checkley77(12569) About Me  on 2010-09-02 10:45:59 (Show Source):
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Let x & x+1 be the 2 integers.
x(x+1)=x+x+1+41
x^2+x=2x+42
x^2+x-2x-42=0
x^2-x-42=0
(x-7)(x+6)=0
x-7=0
x=7 ans. for the smaller integer.
7=1=8 ans. for the larger integer.
Proof:
7*8=7+8+41
56=56


absolute-value/338148: Please assist me in trying to solve each system by the addition method.
3x + 2y = 3
4x 3y = -13
Thank you!
1 solutions

Answer 242389 by checkley77(12569) About Me  on 2010-09-02 10:40:48 (Show Source):
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3x + 2y = 3
4x 3y = -13
IS THERE A = OR A - SIGN BETWEEN THE 4X & THE 3Y TERMS?


Linear_Equations_And_Systems_Word_Problems/338152: Can you show how to get answer to this word problem please
An aircraft 200 kilometers away is flying toward an air base at 350 kilometers per hour. How long will it take a plane flying from the base at 450 kilometers per hour to intercept the first aircraft?
1 solutions

Answer 242388 by checkley77(12569) About Me  on 2010-09-02 10:38:53 (Show Source):
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D=RT
200=(350+450)T
200=800T
T=200/800
T=2/8=1/4 THEY WILL MEET IN 15 MINUTES.


Linear_Algebra/338153: 8-2x + 6 = 4x - 10
1 solutions

Answer 242387 by checkley77(12569) About Me  on 2010-09-02 10:34:59 (Show Source):
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8-2x + 6 = 4x - 10
-2x-4x=-10-8-6
-6x=-24
x=-24/-6=4 ans.
Proof:
8-2*4+6=4*4-10
8-8+6=16-10
6=6


Polynomials-and-rational-expressions/337882: Use the Foil method to find the product. (5x^8-5)(x^9-4)
1 solutions

Answer 242272 by checkley77(12569) About Me  on 2010-09-01 20:29:51 (Show Source):
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(5x^8-5)(x^9-4)
5X^17-20X^8-5X^9+20 ANS.


Travel_Word_Problems/337886: a train pulls cargo 140 miles and then a second one pulls it another 200 miles going 5 miles faster than the first together they take 9 hours how fast are they going
1 solutions

Answer 242271 by checkley77(12569) About Me  on 2010-09-01 20:27:12 (Show Source):
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D=RT
T=D/R
9=140/X+200/(X+5)
9=((140)+200*X)/X(X+5)
9=(140X+700+200X)/(X^2+5X)
9=(340X+700)/(X^2+5X) CROSS MULTIPLY.
9(X^2+5X)=340X+700=0
9X^2+45X-340X-700=0
9X^2-295X-700=0
(9X+20)(X-35)=0
X-35=0
X=35 MPH FOR THE SLOWER TRAIN.
35+5=40 MPH FOR THE FASTER TRAIN.
PROOF:
9=140/35+200/40
9=4+5
9=9


Complex_Numbers/337888: whats the answer to the square root of -25 divided by square root of -50
1 solutions

Answer 242265 by checkley77(12569) About Me  on 2010-09-01 20:13:54 (Show Source):
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SQRT-25/SQRT-50
5i/5i*SQRT2
1/SQRT2 ans.


Surface-area/337899: A painting canvas has a length of 6 inches longer than its width. If the area is 91 inches, what are the dimensions of the canvas?

1 solutions

Answer 242263 by checkley77(12569) About Me  on 2010-09-01 20:03:41 (Show Source):
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L=W+6
A=LW
91=(W+6)W
91=W^2+6W
W^2+6W-91=0
(W+13)(W-7)=0
W-7=0
W=7 ANS FOR THE WIDTH.
L=7+6=13 ANS. FOR THE LENGTH.
PROOF:
91=13*7
91=91


Mixture_Word_Problems/337901: Cashews sell for $5 per pund and peanuts sell for $2 per pound. How many pounds of each would you use to make 25 pounds of a mixture that sells for $92?
1 solutions

Answer 242262 by checkley77(12569) About Me  on 2010-09-01 19:58:27 (Show Source):
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5x+2(25-x)=92
5x+50-2x=92
3x=92-50
3x=42
x=42/3
x=14 pounds of Cashews is used.
25-14=11 pounds of peanuts are used.
Proof:
5*14+2*11=92
70+22=92
92=92


Number-Line/337902: Why do you get a larger negative number when you subract a positive number from a negative number?(ie -18 - 17= -35)
1 solutions

Answer 242260 by checkley77(12569) About Me  on 2010-09-01 19:49:46 (Show Source):
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(-18 - 17= -35)
Sorry but the scaling doesn't hold when I send the solution but try to get the idea of a negative numbered line.
-35 -30 -25 -20 -15 -10 -5 0 +3
|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|
* *
(-35)------------ -18 ------------- (-17) ----------- -17 ---------------
Starting from zero & going to the left on a numbered line 17 unite, you are at (-17).
Going another 18 units to the left, you are at (-35).
-17+(-18)=-35
17-18=-35


Inequalities/337903: what is the answer to the inequality 18-4k<2(k+21)
1 solutions

Answer 242254 by checkley77(12569) About Me  on 2010-09-01 19:30:30 (Show Source):
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18-4k<2(k+21)
18-4k<2k+42
-4k-2k<42-18
-6k<24
k>24/-6 (note the sign change when dividing by a negative value(
k>-4 ans
Proof:
Let k=-3.9
16-4*-3.9<2(-3.9+21)
16+15.6<2(17.1)
31.6<34.1


Linear-equations/337905: Write the equation of the line that is parallel to the x-axis, passing through the point (5, -2)
1 solutions

Answer 242252 by checkley77(12569) About Me  on 2010-09-01 19:24:53 (Show Source):
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Because the line is parallel to the x axis the slope (m)=0.
Thus there is no x value in the equation & the y intercept is (0,-2)
y=-2
+graph%28+300%2C+200%2C+-6%2C+6%2C+-10%2C+10%2C+y+=+-2%29+ (graph 300x200 pixels, x from -6 to 6, y from -10 to 10, y = -2).


Trigonometry-basics/337906: 6c+5d-4c-3d+3c-6d when c=4 and d=(-2)
10a+3b-5a+4b+1a+5b when a=(-3) and b=5
3m+9n+6m-7n-4m+2n when m=6 and n=(-4)

1 solutions

Answer 242250 by checkley77(12569) About Me  on 2010-09-01 19:21:01 (Show Source):
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6c+5d-4c-3d+3c-6d when c=4 and d=(-2)
6*4+5*-2-4*4-3*-2+3*4-6*-2
24-10-16+6+12+12
54-26=28 ans.
-----------------------------
10a+3b-5a+4b+1a+5b when a=(-3) and b=5
10*-3+3*5-5*-3+4*5+1*-3+5*5
-30+15+15+20-3+25
75-33=42 ans.
------------------------------
I'll leave this last one for you to practice with.
Just substitute 6 for m & -4 for n.
Multiply then add & subtract.
------------------------------
3m+9n+6m-7n-4m+2n when m=6 and n=(-4)


Equations/337907: tom counted a total of 76 bicyles and tricycles , for a total of 227 wheels. how many tricyles are there.
1 solutions

Answer 242249 by checkley77(12569) About Me  on 2010-09-01 19:06:50 (Show Source):
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2x+3y=227
x+y=76 multiply by -2 & add
-2x-2y=-152
2x+3y=227
-------------------
y=75 tricycles.
x+75=76
x=76-75
x=1 bicycle.
Proof:
2*1+3*75=227
2+225=227
227=227


Inequalities/337904: what is the answer to the inequality 3(9z+4)>35z-4
1 solutions

Answer 242248 by checkley77(12569) About Me  on 2010-09-01 19:02:55 (Show Source):
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3(9z+4)>35z-4
27z+12>35z-4
27z-35z>-4-12
-8z>-16
z<-16/-8 (note the sign change when dividing by a negative value)
z<2 ans.
Proof:
Let z=1.9
3(9*1.9+4)>35*1.9-4
3(17.1+4)>66.5-4
3*21.1>62.5
63.3>62.5


Linear-equations/337298: Please help me solve this equation to graph it: +y=x%5E2-4+
1 solutions

Answer 241824 by checkley77(12569) About Me  on 2010-08-31 18:54:46 (Show Source):
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y=x^2-4
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+x%5E2+-4%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x^2 -4).


Expressions-with-variables/337307: Write an algebraic expression for the sum of a number h and 88 minus 4
1 solutions

Answer 241817 by checkley77(12569) About Me  on 2010-08-31 18:27:58 (Show Source):


Distributive-associative-commutative-properties/337309: I need help on finding the value of n in this equation: n divided by -1.28= 4.96
1 solutions

Answer 241816 by checkley77(12569) About Me  on 2010-08-31 18:26:43 (Show Source):
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n/-1.28= 4.96 cross multiply
n=-1.28*4.96
n=-6.3488 ans.


Radicals/337312: How would your write sqrt(3x) in exponential form?
1 solutions

Answer 241810 by checkley77(12569) About Me  on 2010-08-31 18:09:04 (Show Source):
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sqrt(3x)=(3x)^1/2


Linear-equations/337313: I have no clue how to solve 3t/4-t/2=1 can you help me?
1 solutions

Answer 241808 by checkley77(12569) About Me  on 2010-08-31 18:06:09 (Show Source):
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3t/4-t/2=1 the common denominator is 4.
(3t-2t)/4=1 cross multiply
3t-2t=4*1
t=4 ans.
Proof:
3*4/4-4/2=1
12/4-2=1
3-2=1
1=1


Polynomials-and-rational-expressions/337315: The question is subtract: (-5a + 7b -c)- (-66 + 5c - 8d)
This is what I came up with,
(-5a + 7b -c) + (66 - 5c + 8d)
-5a + 7b - 6c + 66 + 8d

1 solutions

Answer 241807 by checkley77(12569) About Me  on 2010-08-31 17:59:28 (Show Source):
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(-5a + 7b -c)- (-66 + 5c - 8d)
-5a+7b-c+66-5c+8d
-5a+7b-6c+8d+66 ans.


Percentage-and-ratio-word-problems/337317: On a map of the U.S., the cities of Milwaukee, and Charlotte, are
6 1/2 inches apart. The actual distance betwee Milwaukee and Charlotte is 670 miles. If Birmingham, Alabama and St. Petesburg, Florida are 465 miles apart, how far apart are they on the map?
1 solutions

Answer 241805 by checkley77(12569) About Me  on 2010-08-31 17:53:05 (Show Source):
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6.5/670=x/465
670x=465*6.5
670x=3,022.5
x=3,022.5/670
x=4.51 inches ans.


Polynomials-and-rational-expressions/337318: The question is multiply:
(x^8 + 7x) (x^8 - 7x)
Here's what I got.
x^8(x^8) + x^8(-7x) + 7x(x^8) + 7x(-7x)=
(x^16 - 49x^2
Is this right?
1 solutions

Answer 241801 by checkley77(12569) About Me  on 2010-08-31 17:47:47 (Show Source):
You can put this solution on YOUR website!
(x^8 + 7x) (x^8 - 7x)
Here's what I got.
x^8(x^8) + x^8(-7x) + 7x(x^8) + 7x(-7x)=
(x^16 - 49x^2
Is this right?
YES! Good work.