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checkley77 answered: 12560 problems
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test/307327: find the x-intercept of the graph of the equation
y=2x expontent 2 - 6x -8
1 solutions

Answer 219924 by checkley77(12569) About Me  on 2010-05-22 18:04:56 (Show Source):
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y=2x^2-6x-8
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x%5E2+-6x+-8%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 2x^2 -6x -8).
Answer -1 & 4 are the x intercepts.


logarithm/307334: on a certian street, a section having an area of 4896.7 square yards is paved at an expense of 12,642.17. what would be the expense to a property holder who pays for 356.28 square yards of the pave?
1 solutions

Answer 219923 by checkley77(12569) About Me  on 2010-05-22 18:01:39 (Show Source):
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4,896.7/12,642.17=356.28/X
4,896.7X=12,642.17*356.28
4,896.7X=4,504,152.33
X=4,504,152.33/4,896.7
X=$919.83 IS THE COST OF PAVING THE SMALLER AREA.


Systems-of-equations/307336: please help me figure out this problem:
Ruben bought 2 cheeseburgers and 3 bags of fries for $16.50, not including tax. Chris bought 1 cheeseburger and 2 bags of fries for $9.50, not including tax. What was the cost of a bag of fries?
1 solutions

Answer 219917 by checkley77(12569) About Me  on 2010-05-22 17:43:21 (Show Source):
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2C+3F=16.50
1C+2F=9.50 MULTIPLY BY -2 &ADD.
-2C-4F=-19.00
2C+3F=16.50
---------------
-F=-3.00
F=$3.00 COST OF 1 BAG OF FRIES.
C+2*3=9.50
C+6=9.50
C=9.50-C
C=3.50 COST OF 1 CHEESEBURGER.
PROOF:
2*3.50+3*3=16.50
7.00+3*3=16.50
7.50+9=16.50
16.50=16.50


Surface-area/307347: A pentagon has three sides of length (2x+3) and two sides of length (x-3). Find the perimeter of the pentagon.
1 solutions

Answer 219907 by checkley77(12569) About Me  on 2010-05-22 17:23:03 (Show Source):
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3(2x+3)+2(x-3)
6x+9+2x-6
8x+3 is the perimeter of the pentagon.


Distributive-associative-commutative-properties/307352: How do you factor this out:
2y^2-7y^2-15y
1 solutions

Answer 219906 by checkley77(12569) About Me  on 2010-05-22 17:18:13 (Show Source):
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2y^2-7y^2-15y ccombine the y^2 terms.
-5y^2-15y factor out -5y.
-5y(y+3) ans.


Equations/307357: 2(x+8)-7=2+4(X-4) whats the answer
1 solutions

Answer 219903 by checkley77(12569) About Me  on 2010-05-22 17:15:16 (Show Source):
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2(x+8)-7=2+4(X-4)
2x+16-7=2+4x-16
2x-4x=2-16-16+7
-2x=-32+9
-2x-23
x=23/-2
x=-11.5 ans.
Proof:
2(11.5+8)-7=2+4(11.5-4)
2*19.5-7=2+4*7.5
39-7=2+30
32=32


Functions/307360: find the indicated outputs for f(x)=3x(2)-4x
f(0)=
f(-1)=
f(2)=
1 solutions

Answer 219901 by checkley77(12569) About Me  on 2010-05-22 17:08:24 (Show Source):
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f(x)=3x(2)-4x
f(x)=6x-4x
f(x)=2x
f(0)=2*0=0 ans.
f(0)=0
f(-1)=2-1=1 ans.
f(-1)=1
f(2)=2*2=4 ans.
f(2)=4


Functions/307361: on three consecutive passes, a football team gains 9 yards, loses 14 yards, and gains 21 yards. What number represents the total net yardage?
1 solutions

Answer 219899 by checkley77(12569) About Me  on 2010-05-22 17:03:58 (Show Source):
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9-14+21=-5+21=+16 yds. ans.


Graphs/307367: So lets say I have the equation:
y = -8 - 4
How do I graph that? I get that the y-intercept is 4, but how do I do x? Please explain what I do and why I do it.
1 solutions

Answer 219897 by checkley77(12569) About Me  on 2010-05-22 17:01:56 (Show Source):
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Without an x value you only have:
y = -8 - 4
y=-12 which is a y intercept=-12 and a horizontal line through that point.
+graph%28+300%2C+200%2C+-6%2C+5%2C+-15%2C+10%2C+y+=+-12%29+ (graph 300x200 pixels, x from -6 to 5, y from -15 to 10, y = -12).


Polynomials-and-rational-expressions/307391: The stopping distance D of a car after the brakes are applied varies directly as the square of the speed R. If a car traveling 50 mph can stop in 140 ft, how many feet will it take for the same car to stop traveling 90 mph?
Please help with this word problem. Thank you.
1 solutions

Answer 219895 by checkley77(12569) About Me  on 2010-05-22 16:55:52 (Show Source):
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50^2/140=90^2/x
50^2x=8,100*140
2,500x=1,134,000
x=1,134,000/2,500
x=453.6 feet.


Mixture_Word_Problems/307392: An alloy of copper is 10% copper and weighs 25 pounds. A second alloy is 18% copper. How much (to the nearest tenth lb.) of the second alloy must be added to the first alloy to get a 13% mixture.
1 solutions

Answer 219894 by checkley77(12569) About Me  on 2010-05-22 16:48:16 (Show Source):
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.10*25+.18x=.13(25+x)
2.5+.18x=3.25+.13x
.18x-.13x=4.5-3.25
.05x=.75
x=.75/.05
x=15 pounds of 18% copper is needed.
Proof:
.10*25+.18*15=.13(25+15)
2.5+2.7=.13*40
5.2=5.2


Evaluation_Word_Problems/307232: In a recent year the total sales at Restaurant A were $250,000 more than Restaurant B. Total sales at the two stores were $625,000,000. What were the sales for the year at each store?
1 solutions

Answer 219872 by checkley77(12569) About Me  on 2010-05-22 10:55:48 (Show Source):
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X+(X+250,000)=625,000,000
2X=625,000,000-250,000
2X=624,750,000
X=624,750,000/2
X=312,375,000 ANS. FOR RESTAURANT B.
312,375,000+250,000=312,625,000 ANS. FOR RESTAURANT A.


Inequalities/307248: inequality 4x-9≥ -4 what is the solution regarding x?
1 solutions

Answer 219870 by checkley77(12569) About Me  on 2010-05-22 10:41:49 (Show Source):
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4x-9≥ -4
4X>=-4+9
4X>=5
X=5/4
X>=1.25 ANS.
PROOF:
LET X=1.3
4*1.3-9>=-4
5.2-9>=-4
-3.8>=-4


Permutations/307256: Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 mph and starts 3 hours after the first cyclist who is traveling at 6 mph. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?
Not sure if this is Combinatorics, but help is appreciated :)
1 solutions

Answer 219868 by checkley77(12569) About Me  on 2010-05-22 10:36:19 (Show Source):
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D=RT
D=6T
D=10(T-3)
THE 2 DISTANCES ARE EQUAL.
6T=10(T-3)
6T=10T-30
6T-10T=-30
-4T=-30
T=-30/-4
T=7.5 HOURS.
PROOF:
6*7.5=10(7.5-3)
45=1-*4.5
45=45
7.5-3=4.5 HOURS AFTER THE SECOND RIDER LEAVES THEY WILL MEET.


Exponents-negative-and-fractional/307261: 'y' = -2/9x
find 'x' when 'y' = -34
1 solutions

Answer 219865 by checkley77(12569) About Me  on 2010-05-22 10:22:18 (Show Source):
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'y' = -2/9x
find 'x' when 'y' = -34
-34=-2/9X
X=-34/(-2/9)
X=-34*-9/2
X=17*9
X=153 ANS.


Quadratic_Equations/307264: What does it mean to refer to a 20-in TV set or a 25-in TV set? Such units refer to the diagonal of the screen. A 10-in TV set also has a width of 8-in. What is its height?
1 solutions

Answer 219863 by checkley77(12569) About Me  on 2010-05-22 10:16:32 (Show Source):
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8^+W^2=10^
64=W^2=100
H^2=100-64
H^2=36
H=SQRT36
H=6 ANS. FOR THE HEIGHT.


Expressions-with-variables/307278: Cleaning up around the kennel you picked up a total of 52 coins. Unfortunately, they were only pennies and nickels. The value of the coins was $1.20. How many pennies and how many nickels did you pick up?
1 solutions

Answer 219861 by checkley77(12569) About Me  on 2010-05-22 10:12:21 (Show Source):
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P+N=52 OR P=52-N
.01P+.05N=1.20
.01(52-N)+.05N=1.20
.52-.01N+.05N=1.20
.04N=1.20-.52
.04N=.68
.04N=.68
N=.68/.04
N=17 NUMBER OF NICKELS.
P=52-17
P=35 NUMBER OF PENNIES.
PROOF;
.01*35+.05*17=1.20
.35+.85=1.20
1.20=1.20


Expressions-with-variables/307280: You need to choose a long distance telephone service for your business. The two options available in your area are Call Me and Trans Talk. Call Me charges a $5.95 monthly service fee and $.08 per minute used. Trans Talk charges a $12.95 monthly service fee and $.05 per minute used.
1 solutions

Answer 219856 by checkley77(12569) About Me  on 2010-05-22 10:02:53 (Show Source):
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C=5.95+.08M
T=12.95+.05M
5.95+.08M=12.95+.05M
.08M-.05M=12.95-5.95
.03M=7
M=7/.03
M=233.3 MINUTES PER MONTH THE 2 PLANS ARE EQUAL.
BELOW 233.3 MINUTES THE CALL ME IS CHEAPER.
ABOVE 233.3 MINUTES THE TRANS TALK IS CHEAPER.


Miscellaneous_Word_Problems/307281: Fast food. If four out of five doctors prefer fast food,
then at a convention of 445 doctors, how many prefer fast
food?
For this problem I subtracted one from every five and received the answer 111.

1 solutions

Answer 219854 by checkley77(12569) About Me  on 2010-05-22 09:56:00 (Show Source):
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4 out of 5 is:
4/5=.8 or 80% prefer fast food.
.8*445=356 ans. for the number of doctors who prefer fast food.


Polynomials-and-rational-expressions/307284: 7x-28/3x+12 . 10x+40/6x-24
1 solutions

Answer 219851 by checkley77(12569) About Me  on 2010-05-22 09:50:25 (Show Source):
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(7x-28)/(3x+12)
7(x-4)/3(x-4)
7/3=1.75 ans.
----------------------
(10x+40)/(6x-24)
10(x+4)/6(x+4)
10/6=5/3=1.667 ans.


Quadratic_Equations/307217: 3x^2+80=0
1 solutions

Answer 219823 by checkley77(12569) About Me  on 2010-05-21 21:03:40 (Show Source):
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3x^2+80=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
X=(0+-SQRT[0^2-4*3*80])/2*3
X=(0+-SQRT-960)/6
X=(0+-30.984i)/6
X=0+-30.984i/6
X=0+-5.164i ANS.


Evaluation_Word_Problems/307218: Two minor league baseball players got a total of 386 hits. Washington had 12 more hits than Sanchez. Find the number of hits for each player.
1 solutions

Answer 219822 by checkley77(12569) About Me  on 2010-05-21 20:56:58 (Show Source):
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W+S=386
W=S+12
(S+12)=S=386
2S=386-12
2S=374
S=374/2
S=187 HITS.
W=187+12=199 HITS.
PROOF:
187+199=386
386=386


Polynomials-and-rational-expressions/306863: 3x^2(2x-3) -5(2x-3)
1 solutions

Answer 219588 by checkley77(12569) About Me  on 2010-05-20 19:54:34 (Show Source):
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3x^2(2x-3)-5(2x-3)
(3x^2-5)(2x-3) ans.


Polynomials-and-rational-expressions/306875: how would you work out, x^2-25 * 6x+42?
1 solutions

Answer 219587 by checkley77(12569) About Me  on 2010-05-20 19:51:02 (Show Source):
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x^2-25
6x+42
-------------
6x^3-150x+42x^2-1,050
6x^3+42x^2-150x-1,050
6(x^3+7x^2-25x-175)
6(x+5)(x^2+2x-35)
6(x+5)(x+7)(x-5) ans.


Volume/306878: what are the two possible set of dimensions for a rectangular prism that has a volume of 900 inches cubed?
1 solutions

Answer 219584 by checkley77(12569) About Me  on 2010-05-20 19:39:32 (Show Source):
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900=15*15*4
900=10*10*9


Equations/306890: State Student Assessments
$+& = 10
&-$ = 2
Each $ has the same value
Each & has the same value
What is the value of &
1 solutions

Answer 219581 by checkley77(12569) About Me  on 2010-05-20 19:27:50 (Show Source):
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$+&=10
&-$=2
&+$=10 add.
-----------
2&=12
&=12/2
&=5 ans.
s+5=10
$=10-5
$=5 ans.
Proof:
5-3=2
2=2


Inequalities/306894: 7>4-y
1 solutions

Answer 219579 by checkley77(12569) About Me  on 2010-05-20 19:23:04 (Show Source):
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7>4-y
7-4>-y
3>-y
-3 Proof:
Let y=-2.9
7>4-(-2.9)
7>4+2.9
7>6.9


Equations/306898: please help me solve this problem:
2( X + 2) = X + 16
1 solutions

Answer 219577 by checkley77(12569) About Me  on 2010-05-20 19:13:09 (Show Source):
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2( X + 2) = X + 16
2X+4=X=16
2X-X=16-4
X=12 ANS.
PROOF:
2(12+2)=12+16
2*14=12+16
28=28


Surface-area/306900: you can mow 10 square yards of grass in one minute. how long does it take you to mow a triangular plot with height 25 yards and base 24 yards? how long does it take you to mow a rectangular plot with base 24 yards and height 36 yards?

1 solutions

Answer 219576 by checkley77(12569) About Me  on 2010-05-20 19:10:15 (Show Source):
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1/10=x/[(25*24)/2]
1/10=x/(25*12)
1/10=X/300
10X=300
X=300/10
X=30 MINUTES TO MOW THE TRIANGLE.
----------------------------
1/10=X/(24*36)
1/10=X/864
10X=864
X=864/10
X=86.4 MINUTES TO MOW THE RECTANGLE.


test/306903: 7 more than 2 times a number is equal to 5 times the number decreased by 0.2. What is the number?
1 solutions

Answer 219574 by checkley77(12569) About Me  on 2010-05-20 19:03:25 (Show Source):
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2x+7=5x-.2
2x-5x=-.2-7
-3x=-7.2
x=-7.2/-3
x=2.4 ans.
Proof:
2*2.4+7=5*2.4-.2
4.8+7=12-.2
11.8=11.8


Geometric_formulas/306911: What is the value of x if 54 times the square root of 3 equals x cubed?
1 solutions

Answer 219570 by checkley77(12569) About Me  on 2010-05-20 18:57:57 (Show Source):
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54sqrt3=x^3
54*1.732=x^3
93.53=x^3
x=cubert93.53
x=4.539 ans.