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Miscellaneous_Word_Problems/360362: The plans for a rectangular deck call for the width to be 10ft less than the length. The overall perimeter of the deck is 56ft. What should the length be?
1 solutions

Answer 257155 by checkley77(12569) About Me  on 2010-10-23 09:59:02 (Show Source):
You can put this solution on YOUR website!
W=L-10
2L+2W=56
2L+2(L-10)=56
2L+2L-20=56
4L=56+20
4L=76
L=76/4
L=19 FT IS THE LENGTH.
W=19-10=9 FT. IS THE WIDTH.
PROOF:
2*19+2*9=56
38+18=56
56=56


Equations/360363: Solve for z:
6w+3z-2=w
1 solutions

Answer 257154 by checkley77(12569) About Me  on 2010-10-23 09:54:50 (Show Source):
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6w+3z-2=w
3z=w-6w+2
3z=-5w+2
z=(-5w+2)/3 ans.


Permutations/360364: A company sells a product called Make-Your-Doll. it is a toy that consists of three doll bodies, five doll heads, four sets of legs, and two sets of arms. A child assembles the doll he or she wishes to play with. How many complete dolls should be marketing manager advertises that the kit can make if a doll consists of one representative from each of the following groups: body, head, legs, and arms?
1 solutions

Answer 257153 by checkley77(12569) About Me  on 2010-10-23 09:52:32 (Show Source):
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3*5*4*2=120 different kits can be made.


Polynomials-and-rational-expressions/360365: I am having trouble with my MAT 117 Appendix C. This is what I have so far. Could you help me out please?
4. A customer wants to make a teepee in his backyard for his children. He plans to use lengths of PVC plumbing pipe for the supports on the teepee, and he wants the teepee to be 18 feet across and 6 feet tall (see figure). How long should the pieces of PVC plumbing pipe be? Round your answer to the nearest hundredth.
This is waht I have so far.
a^2+b^2=c^2
(18/2)^2+6^2=c^2
9^2+6^2=c^2
81+36=c^2
117=c^2

1 solutions

Answer 257152 by checkley77(12569) About Me  on 2010-10-23 09:49:13 (Show Source):
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a^2+b^2=c^2
(18/2)^2+6^2=c^2
9^2+6^2=c^2
81+36=c^2
117=c^2
c=sqrt117
c=10.82 ft. for the length of te PVC pipes.


Rectangles/360132: rectangular room 20 feet long 18 feet wide whats the perimeter in meters
1 solutions

Answer 257048 by checkley77(12569) About Me  on 2010-10-22 18:11:21 (Show Source):
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20 ft=20/3=6.667 meters
18 ft=18/3=6 meters.
2*6.667+2*6=p
13.33+12=25.33 meters ans.


test/360146: You
1 solutions

Answer 257047 by checkley77(12569) About Me  on 2010-10-22 18:06:05 (Show Source):
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Need a problem to solve!


Systems-of-equations/360163: solve by substitution:
2x-y=5
x+4y=7
1 solutions

Answer 257046 by checkley77(12569) About Me  on 2010-10-22 18:00:39 (Show Source):
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2x-y=5
x+4y=7 OR x=7-4y
2(7-4y)-y=5
14-8y-y=5
-9y=5-14
-9y=-9
y=-9/-9
y=1 ans.
x=7-4*1
x=7-4
x=3 ans.
Proof:
2*3-1=5
6-1=5
5=5


Miscellaneous_Word_Problems/360167: A rectangular garden is to be surrounded by a walkway of constant width. The garden’s dimensions are 20 ft by 28 ft. The total area, garden plus walkway, is to be 1,100 ft2. What must be the width of the walkway?
1 solutions

Answer 257041 by checkley77(12569) About Me  on 2010-10-22 17:48:26 (Show Source):
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(20+2X)(28+2X)=1,100
560+56X+40X+4X^2=1,100
4X^2+96X+560-1,100=0
4X^2+96X-540=0
4(X^2+24X-135)=0
X+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
X=(-24+-SQRT[2462-4*1*-135])/2*1
X=(-24+-SQRT[576+540])/2
X=(-24+-SQRT1,116)/2
X=(-24+-33.4)/2
X=(-24+33.4)/2
X=9.4/2
X=4.7 FT. IS THE WIDTH OF THE WALKWAY.


Travel_Word_Problems/360184: Traveling for 3hr into a steady head wind, a plane flies 1650 mi. The pilot determines that flying with the same wind for 2hr, he could make a trip of 1300mi. Find the speed of the plane and the speed of the wind.
1 solutions

Answer 257037 by checkley77(12569) About Me  on 2010-10-22 17:37:08 (Show Source):
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D=RT
1,650=R*3
R=1.650/3
R=550 MPH INTO THE WIND.
1,300=R*2
R=1,300/2
R=650 MPH WITH THE WIND.
(650-550)/2=100/2=50 MPH. IS THE RSTE OF THE WIND.
550+50=600 MPH. IS THE SPEED OF THE PLABVE IN STILL AIR.
650-50=600 DITTO.


test/360188: Solve the system of equation.
-x + 2y = 1
0.875x + 2y = 2.875
1 solutions

Answer 257036 by checkley77(12569) About Me  on 2010-10-22 17:31:09 (Show Source):
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-x + 2y = 1
0.875x + 2y = 2.875 SUBTRACT
-------------------------------
-1.875X=-1.875
X=-1.875/-1.875
X=1 ANS.
-1+2Y=1
2Y=1+1
2Y=2
Y=2/2
Y=1 ANS.
PROOF:
.875*1+2*1=2.875
.875+2=2.875
3.875=2.875


Systems-of-equations/360189: How do you factor completely 2x^2y-32y
1 solutions

Answer 257034 by checkley77(12569) About Me  on 2010-10-22 17:27:24 (Show Source):
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2x^2y-32y
2Y(X^2-16)
2Y(X+4)(X-4) ANS.


Numbers_Word_Problems/360195: The difference of two numbers is 8. The larger is 2 less than twice the smaller. Find the number.
1 solutions

Answer 257033 by checkley77(12569) About Me  on 2010-10-22 17:25:14 (Show Source):
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X-Y=8
X=2Y-2
2Y-2-Y=8
Y=8+2
Y=10 ANS.
X-10=8
X=8+10
X=18 ANS.
PROOF:
18=2*10-2
18=20-2
18=18


Miscellaneous_Word_Problems/360201: (1 pt) You are offered two different sales jobs. The first company offers a straight commission of 5% of the sales. The second company offers a salary of $ 490 per week plus 3% of the sales. How much would you have to sell in a week in order for the straight commission offer to be at least as good?

1 solutions

Answer 257032 by checkley77(12569) About Me  on 2010-10-22 17:21:24 (Show Source):
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.05X=490+.03X
.05X-.03X=490
.02X=490
X=490/.02
X=24,500 AMOUNT OF COMMISSION SALES ARE REQUIRED.
.05*24,500=490+.03*24,500
1,225=490+735
1,225=1,225


Miscellaneous_Word_Problems/360204: Two solutions of salt water contain 0.09% and 0.25% salt respectively. A lab technician wants to make 1 liter of solution which contains 0.19% salt. How much of each solution should she use?

1 solutions

Answer 257030 by checkley77(12569) About Me  on 2010-10-22 17:17:19 (Show Source):
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.25X+.09(1-X)=.19*1
.25X+.09-.09X=.19
.16X=.19-.09
.16X=.10
X=.10/.16
X=.625 L. OF 25% SOLUTION IS USED.
1=.625-.375 L. OF 9% SOLUTION IS USED.
PROOF:
.25*.625+.09*.375=.19*1
.15625+.03375=.19
.19=.19


Rectangles/360206: the length of a rectangular jewelry box is 5 inches more than twice the width. the perimeter is 22 inches. what's the length and width?
1 solutions

Answer 257029 by checkley77(12569) About Me  on 2010-10-22 17:09:53 (Show Source):
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L=2W+5
2L+2W=22
2(2W+5)+2W=22
4W+10+2W=22
6W=22-10
6W=12
W=12/6
W=2 ANS.
L=2*2+5
L=4+5=9 ANS.
PROOF:
2*9+2*2=22
18+4=22
22=22


Geometric_formulas/360213: If grass grows at the rate of 6 inches per week, how many feet per hour does it grow?
1 solutions

Answer 257027 by checkley77(12569) About Me  on 2010-10-22 17:06:19 (Show Source):
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.5/24*7=x/1
.5/168=x/1 crosss multiply.
168x=.5
x=.5/168
x=.003 ft. per hour is the growth rate.
Proof
24*7*.003=.5
.5~.5


Quadratic_Equations/360222: Hi There, I was hoping someone could guide me through this problem. If it's not too much trouble, I am looking for the steps to solve to be included in the answer.
Directions: Solve
A ladder that is 10ft long is 6ft from the base of the wall. How far up the wall does the ladder reach?

1 solutions

Answer 257026 by checkley77(12569) About Me  on 2010-10-22 16:59:59 (Show Source):
You can put this solution on YOUR website!
You have a right triangle with a base=6ft.
The hypotenuse=10 ft.
Using the formula:
a^2+b^2=c^2
6^2+b^2=10^2
36+b^2=100
b^2=100-36
b^2=64
b=sqrt64
b=8 ft is the height up the wall that the ladder reaches.


Quadratic_Equations/360224: Hello! Jess here! I was wondering if someone could help me. This week my class is working on problems and I don't quite understand how to obtain the answer of some of them. If someone could be so kind as to lead me through (with all the steps) the following problem, I would be most appreciative.
The directions are: Solve the equation by the square root property.
6x^2=96
1 solutions

Answer 257025 by checkley77(12569) About Me  on 2010-10-22 16:55:06 (Show Source):
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6x^2=96
6x^2-96=0 extract the common factor 6.
6(x^2-16)=0 factor the quadratic equation.
6(x+4)(x-4)=0 solve the two factors.
x+4=0
x=-4 ans.
x-4=0
x=4 ans.
Proofs:
6(-4)^2=96
6*16=96
6*4^2=96
6*16=96
96=96


test/359769: -5y+6=-34
I need you're help with this for me PLZ can u help me !I have my question in the top PLZ HELp me !
1 solutions

Answer 256754 by checkley77(12569) About Me  on 2010-10-21 17:41:49 (Show Source):
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-5y+6=-34
-5Y=-34-6
-5Y=-40
Y=-40/-5
Y=8 ANS.


Rectangles/359774: The perimeter of a rectangle is 40.
If the width is 3x-8 and the length 2x + 3 what is x?
1 solutions

Answer 256753 by checkley77(12569) About Me  on 2010-10-21 17:39:46 (Show Source):
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W=3x-8
L=2x + 3
2L+2W=40
2(2X+3)+2(3X-8)=40
4X+6+6X-16=40
10X=40-6+16
10X=50
X=50/10
X=5 SOLUTION.
W=3*5-8=15-8=7 ANS.
L=2*5+3=10+3=13 ANS.
PROOF:
2*13+2*7=40
26+14=40
40=40


Graphs/359775: Solve using quadratic formula: 5x^2 +14x -3 =0
1 solutions

Answer 256752 by checkley77(12569) About Me  on 2010-10-21 17:25:21 (Show Source):
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5x^2 +14x -3 =0
(5x-1)(x+3)=0
5x-1=0
5x=1
x=1/5 ans.
x+3=0
x=-3 ans.


Linear_Equations_And_Systems_Word_Problems/359640: I need your help. How do I write an equation for the following problem.
If I have 1kg of onion for every 6.6kg of steak and I have a total of 617.6 kg
How many kg of onions did I use?
How many kg of steak did I use?


1 solutions

Answer 256751 by checkley77(12569) About Me  on 2010-10-21 17:22:58 (Show Source):
You can put this solution on YOUR website!
1N+6.6N=617.6
7.6N=617.6
N=617.6/7.6
N=81.263
81.263 kg. of onions are used.
6.6*81.26=536.33 kg. of steak is used.
Proof:
81.26+536.33~617.6


Miscellaneous_Word_Problems/359709: twice the sum of a number and 7 is equal to three times the difference of the number and 2.
find the number
1 solutions

Answer 256748 by checkley77(12569) About Me  on 2010-10-21 16:53:41 (Show Source):
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2X+7=3(X-2)
2X+7=3X-6
2X-3X=-6-7
-X=-13
X=13 ANS.
PROOF:
2*13+7=3(13-2)
26+7=3*11
33=33


Evaluation_Word_Problems/359715: Mike discovered that the pool in his backyard is leaking slowly. The pool holds 16,968 gallons of water, and is leaking at a rate of 12 gallons per day. If Mike does not replace the water that has leaked from the pool, how many gallons of water will remain in the pool after 199 days?

1 solutions

Answer 256746 by checkley77(12569) About Me  on 2010-10-21 16:49:43 (Show Source):
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16,968-199*12
16,968-1,992=14,976 GALLONS LEFT AFTER 199 DAYS OF LEAKAGE.


Geometry_Word_Problems/359734: The length of a rectangle is 8 inches more than its width. The perimeter of the rectangle is 24 inches. What are the width and length of the rectangle?
1 solutions

Answer 256744 by checkley77(12569) About Me  on 2010-10-21 16:46:03 (Show Source):
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L=2W+8
2L+2W=24
2(2W+8)+2W=24
4W+16+2W=24
6W=24-16
6W=8
W=8/6
W=4/3 ANS.
L=2*4/3+8
L=8/3+8
L=8/3+24/3
L=32/3 ANS.
PROOF:
2*4/3+2*32/3=24
8/3+64/3=24
72/3=24
24=24
2+20


Systems-of-equations/359736: 6x-y=-4
2x+2y=15
1 solutions

Answer 256743 by checkley77(12569) About Me  on 2010-10-21 16:39:05 (Show Source):
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6x-y=-4 multiply by 2 & add.
2x+2y=15
12x-2y=-8
--------------
14x=7
x=7/14
x=.5 ans.
6*.5-y=-4
3-y=-4
-y=-4-3
-y=-7
y=7 ans.
Proof:
2*.5+2*7=15
1+14=15
15=15


Linear-equations/359743: my first qustion is how do you graph the linear equation 3x+y=7
my second question is how do you write an equation for "parallel to x+2=0 with x-intercept (-1,0)" in a slope intercept form?
1 solutions

Answer 256741 by checkley77(12569) About Me  on 2010-10-21 16:34:48 (Show Source):
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3x+y=7
y=-3x+7
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-3x+%2B7%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -3x +7).
------------------------------------------------------------------------------
"parallel to x+2=0 with x-intercept (-1,0)"
x=-2
x=-1


Miscellaneous_Word_Problems/359327: One number is 6 greater then anouther. if the sum of the twonumbersis 44, find the numbers.
1 solutions

Answer 256443 by checkley77(12569) About Me  on 2010-10-20 19:41:51 (Show Source):
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X+X+6=44
2X=44-6
2X=38
X=38/2
X=19 ANS. FOR THE SMALLER NUMBER.
19+6=25 ANS. FOR THE LARGER NUMBER.
PROOF:
19+25=44
44=44


Rectangles/359333: The perimeter of a Desktop is 108 inches, the width is 14 inches shorter than the length,write an eqaution to represent the perimeter and determine the dimension of the desktop?
1 solutions

Answer 256441 by checkley77(12569) About Me  on 2010-10-20 19:38:43 (Show Source):
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W=L-14
2L+2W=108
2L+2(L-14)=108
2L+2L-28=108
4L=108+28
4L=136
L=136/4
L=34 ANS. FOR THE LENGTH.
W=34-14=20 ANS. FOR THE WIDTH.
PROOF:
2*34+2*20=108
68+40=108
108=108


Permutations/359337: Every student in a discrete math class is either a computer science or a mathematics major or is a joint major in these two subjects. How many students are in the class if there are 30 computer science majors(including joint majors), 24 math majors(including joint majors) and 9 joint majors?
1 solutions

Answer 256437 by checkley77(12569) About Me  on 2010-10-20 19:32:36 (Show Source):
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(30+24)-9=54-9=45 TOTAL STUDENTS.


Percentage-and-ratio-word-problems/359339: if 1 inch on a map represents 40 miles,than 2.5 inches = ?
1 solutions

Answer 256433 by checkley77(12569) About Me  on 2010-10-20 19:27:40 (Show Source):
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1/40=2.5/X CROSS MULTIPLY.
X=40*2.5
X=100 MILES.