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checkley77 answered: 12560 problems
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The Fairland Restaurant chain had a 12% return on a $60,000 investment in new ovens. The investment resulted in increased sales and an increase in income that was 4% of the increase in sales. The increase in sales was: 1 solutions
Answer 129497 by checkley77(12569) on 2008-12-28 10:21:08 (Show Source):
You can put this solution on YOUR website!.12*60,000=$7,200 IS THE TOTAL RETURN ON INVESTMENT.
SALES +.04SALES=7,200
1.04SALES=7,200
SALES=7,200/1.04
SALES=$=6,923.08 WAS THE INCREASE IN SALES.
.04*6,923.08=276.92 INCREASE IN INCOME.
PROOF:
6,923.08+276.92=$7,200
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Parallelograms/174494: Quadrilateral ABCD has vertices A(-1,0), B(3,3), C(6,-1), and D(2,-4). Prove that quadrilateral ABCD is a square. 1 solutions
Answer 129496 by checkley77(12569) on 2008-12-28 10:14:53 (Show Source):
You can put this solution on YOUR website!A(-1,0), B(3,3), C(6,-1), D(2,-4).
slopes:
AB=(3-0)/(3+1)=3/4
DC=(-4+1)/(2-6)=3/4 THUS THESE 2 LINES ARE PARALLEL.
slopes:
BC=(-1-3)/6-3)=-4/3=-4/3
AD=(-4-0)/(2+1)=-4/3 THESE 2 LINES ARE PARALLEL & PERPENDICULAR TO THE AB & DC LINES.
THUS THIS IS A SQUARE FIGURE.
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Radicals/174495: 4 over cube root of 3 minus 1..
4 over cube root of 3 minus 1..
4 over cube root of 3 minus 1..
4 over cube root of 3 minus 1..
4 over cube root of 3 minus 1.. 1 solutions
Answer 129495 by checkley77(12569) on 2008-12-28 10:07:17 (Show Source):
You can put this solution on YOUR website!You need to use ( ) in the denominator to properly present this problem.
If you mean 4/(cubert3-1)
Then:
4/(cubert2)
4/1.26
3.1746 ans.
If you mean 4/cubert3)-1
Then
(4-cubert3)/cubert3
(4-1.44)/1.44
2.56/1.44
1.78 ans.
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Radicals/174496: 4 over cube root of 3 minus 1..
irradicate the denominator cube root of 3 minus 1.
4 over cube root of 3 minus 1..
irradicate the denominator cube root of 3 minus 1. 1 solutions
Answer 129494 by checkley77(12569) on 2008-12-28 10:06:13 (Show Source):
You can put this solution on YOUR website!You need to use ( ) in the denominator to properly present this problem.
If you mean 4/(cubert3-1)
Then:
4/(cubert2)
4/1.26
3.1746 ans.
If you mean 4/cubert3)-1
Then
(4-cubert3)/cubert3
(4-1.44)/1.44
2.56/1.44
1.78 ans.
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Coordinate-system/174498: give the following system of inequalities on the same coordinate plane. Label the solution set S. Be sure to include all labels.
y<2x-3
y>= -2/3x+2 1 solutions
Answer 129493 by checkley77(12569) on 2008-12-28 09:57:04 (Show Source):
You can put this solution on YOUR website!y<2x-3 or y=2x-3 (red line)
y>= -2/3x+2 or y=-2x/3+2 (green line)
 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 2x -3 and -2x/3 +2 ).
y=2x-3
y=-2x/3+2
2x-3=-2x/3+2
2x+2x/3=2+3
(6x+2x)/3=5
8x/3=5
8x=15
x=15/8
x=1.875 ans.
y=2*1.875-3
y=3.75-3
y=.75 ans.
Solution (1.875,0.75)
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Linear-equations/174491: This question is from textbook algebra 1
A shoe store makes $2880 during a one day sale. Men's shoes cost $24 per pair and womens shoes cost $18 per pair. Let m equal the number of pairs of mens shoes and w equal the number of pairs of womens shoes. The equation 24m+18w=2880 describes the store's income for the sale.
b.Can the store have sold exactly 150 pairs of womens shoes during the sale?Explain 1 solutions
Answer 129481 by checkley77(12569) on 2008-12-27 20:32:38 (Show Source):
You can put this solution on YOUR website!24m+18w=2880
w=150
24m+18*150=2880
24m+2700=2880
24m=2880-2700
24m=180
m=180/24
m=7.5 men's shoes sold. Not very good sales people selling 1/2 of a pair.
---------------------------
Answer is NO for the 150 pair of women's shoes sold.
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Linear-equations/174492: This question is from textbook algebra 1
A shoe store makes $2880 during a one day sale. Men's shoes cost $24 per pair and womens shoes cost $18 per pair. Let m equal the number of pairs of mens shoes and w equal the number of pairs of womens shoes. The equation 24m+18w=2880 describes the store's income for the sale.
c.the store sold one more pair of mens shoes than womens shoes during the sale.How many pairs of each were sold? 1 solutions
Answer 129479 by checkley77(12569) on 2008-12-27 20:23:36 (Show Source):
You can put this solution on YOUR website!24m+18w=2880
m=w+1
24(w+1)+18w=2880
24w+24+18w=2880
42w=2880-24
42w=2856
w=2856/42
w=68 number of women's shoes sold.
m=68+1=69 number of men's shoes sold.
Proof:
24*69+18*68=2880
1656+1224=2880
2880=2880
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Graphs/174493: Please help I am so confused. I have been reading the text for the last half hour and examined the examples provided and I just can't get it.
Complete each ordered pari so that it satisfies the given equation.
y=2x+5:(8, ), (-1, ),( , -1) 1 solutions
Answer 129478 by checkley77(12569) on 2008-12-27 20:12:55 (Show Source):
You can put this solution on YOUR website!y=2x+5:(8,21), (-1,3),(-3,-1)
y=2*8+5
Y=16+5
Y=21
--------
Y=2*-1+5
Y=-2+5
Y=3
--------
-1=2X+5
-1=2X+5
2X=-1-5
2X=-6
X=-6/2
X=-3
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Linear_Equations_And_Systems_Word_Problems/174464: This question is from textbook Algebra 2, Texas Edition
Identify three methods you can use to solve a sysytiem of equations and explain when to use each method then write example systems that illustrate when to use each method. 1 solutions
Answer 129461 by checkley77(12569) on 2008-12-27 10:31:58 (Show Source):
You can put this solution on YOUR website!SUBSTIUTION: USE WHEN ONE EQUATION HAS NO INTEGER.
Y=3X
2Y-8=2X
2*3X-8=2X
6X-8-2X=0
4X=8
X=8/4
X=2 ANS.
Y=3*2
Y=6 ANS.
PROOF:
2*6-8=2*4
12-8=4
4=4
-----------------------------
ADDITION: USE WHEN ONE UNKNOWN IS A MULTIPLE OF THE SAME UNKNOWN IN THE OTHER EQUATION.
Y-3X=0 MULTIPLY THIS EQUATION BY -2 & ADD
2Y-2X=8
-2Y+6X=0
2Y-2X=8
----------
4X=8
X=8/4
X=2
Y-3*2=0
Y-6=0
Y=6
----------------
CROSS MULTIPLICATION: USE WHEN THERE ARE FRACTIONS INVOLVED.
Y/4X=3/4
4Y=12X
Y=12X/4
--------
3Y/3X=3
3(12X/4)/3X=3
(36X/4)/3X=3
36X/4=9X
36X=36X
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Miscellaneous_Word_Problems/174171: A rectangular swimming pool is three times as long as it is wide and is surrounded by a deck 2.5m wide. Find the dimensions of the pool if the area of the deck is 265m^2. 1 solutions
Answer 129111 by checkley77(12569) on 2008-12-20 16:16:50 (Show Source):
You can put this solution on YOUR website!THE POOL IS X*3X=3X^2
(X+5)(3X+5)-3X^2=265
3X^2+20X+25-3X^2=265
20X=265-25
20X=240
X=240/20
X=12m.IS THE WIDTH OF THE POOL.
3*12=36m. IS THE LENGTH OF THE POOL.
PROOF:
(12+5)(36+5)-3*12^2=265
17*41-3*144=265
697-432-265
265=265
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Miscellaneous_Word_Problems/174172: A rectangle is twice as long as it is wide. If both its dimensions are increasd by 4m, its area is increased by 88m^2. Make a sketch and find the dimensions of the original rectangle. 1 solutions
Answer 129110 by checkley77(12569) on 2008-12-20 16:09:09 (Show Source):
You can put this solution on YOUR website!Can't sketch.
AREA=LW
L=2W
(L+4)(W+4)-LW=88
(2W+4)(W+4)-2W*W=88
2W^2+12W-2W^2+16-88=0
12W-72=0
12W=72
W=72/12
W=6m. ANS. FOR THE WIDTH.
L=2*6=12m. ANS. FOR THE LENGTH.
PROOF:
(12+4)(6+4)-12*6=88
16*10=88+72
160=160
ORIGINAL DIMENSIONS ARE L=12 W=6.
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Miscellaneous_Word_Problems/174134: A brick patio is twice as long as it is wide. It is bordered on all sides by a garden 1.5m wide. Find the dimensions of the patio if the area of the garden is 54m^2. 1 solutions
Answer 129036 by checkley77(12569) on 2008-12-19 17:01:55 (Show Source):
You can put this solution on YOUR website!AREA OR THE BRICK PATIO=LW
L=2W
AREA=2W*W=2W^2
AREA OF GARDEN=54
54=(L+3)(W+3)-2W^2
54=(2W+3)(W+3)-2W^2
54=2W^2+9W+9-2W^2
54=9W+9
9W=54-9
9W=45
W=45/9
W=5m.
L=2*5=10m.
PROOF:
54=(10+3)(5+3)-2*5^2
54=13*8-2*25
54=104-50
54=54
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Miscellaneous_Word_Problems/174031: a rectangle is twice as long as it is wide. if both its dimensions are are increased by 4m, its area is increased by 88 m squared. find dimensions of original rectangle. 1 solutions
Answer 129034 by checkley77(12569) on 2008-12-19 16:51:07 (Show Source):
You can put this solution on YOUR website!L=2W
AREA=LW
88=(L+4)(W+4)-LW
88=(2W+4)(W+4)-2W*W
88=2W^2+12W+16-2W^2
88=12W=16
12W=88-16
12W=72
W=72/12
W=6M.
L=2*6=12M.
PROOF:
88=(12+4)(6+4)-12*6
88=16*10-72
88=160-72
88=88
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Functions/174057: This question is from textbook
Can someone please help me I'm going crazy here I've been working on this for 3hr still having a hard time please help please help.
Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. f(x) = 5x -3 f(x) = x^2 -3x +2
1 solutions
Answer 129030 by checkley77(12569) on 2008-12-19 16:26:25 (Show Source):
You can put this solution on YOUR website!f(x)=5x-3
f(1)=5*1-3
f(1)=5-3=2 ans.
f(2)=5*2-3
f(2)=10-3=7 ans.
f(4)=5*4-3
f(4)=20-3=17 ans.
f(8)=5*8-3
f(8)=40-3
f(8)=37 ans.
f(16)=5*16-3
f(16)=80-3
f(16)=77 ans.
------------------------
f(x)=x^2-3x+2
f(1)=1*2-3*1+2
f(1)=2-3+2
f(1)=4-3=1 ans.
f(2)=2^2-3*2+2
f(2)=4-6+2
f(2)=0 ans.
f(4)=4^2-3*4+2
f(4)=16-12+2
f(4)=6 ans.
f(8)=8^2-3*8+2
f(8)=64-24+2
f(8)=66-24=42 ans.
f(160=16^2-3*16+2
f(16)=256-48+2
f(16)=258-48=210 ans.
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test/174129: A total of 303 tickets were sold for the school play. The number of student tickets sold was two times the number of adult tickets sold . How many adult tickets were sold?
I figured it out that were 99 adult tickets sold-but I don't think that is right.Can somebody help me figure thi out? Thanks in advance, Judy 1 solutions
Answer 129024 by checkley77(12569) on 2008-12-19 16:13:38 (Show Source):
You can put this solution on YOUR website!S=2A
S+A=303
2A+A=303
3A=30
A=303/3
A=101 ANS. FOR THE NUMBER OF ADULT TICKETS SOLD.
S=2*101
S=202 ANS. FOR THE NUMBER OF STUDENT TICKETS SOLD.
pROOFl:
101+202=303
303=303
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Mixture_Word_Problems/174062: Bear population. To estimate the size of the bear population on the Keweenaw Peninsula, conservationists captured, tagged, and released 50 bears. One year later, a random sample of 100 bears included only 2 tagged bears. What is the conservationist’s estimate of the size of the bear population? 1 solutions
Answer 129000 by checkley77(12569) on 2008-12-19 11:07:48 (Show Source):
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Quadratic_Equations/174094: Driving down a mountain, George finds that he has descended 1800 ft in elevation by the time he is 3.25 miles horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth. 1 solutions
Answer 128998 by checkley77(12569) on 2008-12-19 11:03:57 (Show Source):
You can put this solution on YOUR website!(0,0) & (3.25*5,280,1,800)
(0,0) & (17,160,1,800)
slope=(y2-y1)/(x2-x1)
slope=(1,800-0)/(17,160-0)
slope=1,800/17,160
slope=.1049 ans.
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Word_Problems_With_Coins/174111: what are the combinations of quarters, nickels, and dimes to make $1.35? 1 solutions
Answer 128994 by checkley77(12569) on 2008-12-19 10:46:49 (Show Source):
You can put this solution on YOUR website!.25*.10*.05=1.25
-------------------
*5***0****0=1.25
*4***2****1=1.25
*4***1****3=1.25
*4***0****5=1.25
*3***5****0=1.25
*3***4****2=1.25
*3***3****4=1.25
*3***2****6=1.25
*3***1****8=1.25
*3***0***10=1.25
*2***7****1=1.25
*2***6****3=1.25
*2***5****5=1.25
*2***4****7=1.25
*2***3****9=1.25
*2***2***11=1.25
*2***1***13=1.25
*2***0***15=1.25
*1**10****0=1.25
*1***9****2=1.25
*1***8****4=1.25
*1***7****6=1.25
*1***6****8=1.25
*1***5***10=1.25
*1***4***12=1.25
*1***3***14=1.25
*1***2***16=1.25
*1***1***18=1.25
*1***0***20=1.25
*0**12****1=1.25
*0**11****3=1.25
*0**10****5=1.25
*0***9****7=1.25
*0***8****9=1.25
*0***7***11=1.25
*0***6***13=1.25
*0***5***15=1.25
*0***4***17=1.25
*0***3***19=1.25
*0***2***21=1.25
*0***1***23=1.25
*0***0***25=1.25
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Miscellaneous_Word_Problems/174037: write an equation to model the situation. solve and check the reasonableness of your solution.
two students are going to the sandwich shop for lunch. they pay $1.25 for a soda and buy one whole turkey sandwich and one half turkey sandwich. the total bill is $9.50. what is the price of the whole sandwich? 1 solutions
Answer 128935 by checkley77(12569) on 2008-12-18 19:33:27 (Show Source):
You can put this solution on YOUR website!1.25+x+2x=9.50 This assumes the whole turkey sandwich is twice thw price of the half turkey sandwich.
3x=9.50-1.25
3x=8.25
x=8.25/3
x=2.75 for the half turkey sandwich.
2*2.75=5.50 for the whole turkey sandwich
Proof:
1.25+2.75+5.50=9.50
9.50=9.50
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Systems-of-equations/174030: Ok, I just submitted this question so I am sorry for re-submitting it.
x+7y=8
x=6-7y
I plugged in x and I really don't know what I am doing wrong, I guess I should have added this in my first question about this problem:
6-7y+7y=8
6-14y=8
I think I am getting signs mixed up or something, but I have tried it different ways and cannot figure out what I am doing wrong. 1 solutions
Answer 128932 by checkley77(12569) on 2008-12-18 19:29:00 (Show Source):
You can put this solution on YOUR website!x+7y=8
x=6-7y
6-7y+7y=8
6=8 no unique solurion for these 2 equations because:
x+7y=8
-(x+7y=6) adding these 2 equations we get:
-------------
0x+0y=2
0=2 does not compute.
Another proof:
7y=-x+8
y=-x/7+8/7 (red line)
7y=-x+6
y=-x/7+6/7 (green line)
 (graph 300x300 pixels, x from -6 to 5, y from -6 to 5, of TWO functions -x/7 +8/7 and -x/7 +6/7).
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Graphs/174021: Graph and identify the y-intercept
y+x=-2
Would I use the y=mx+b in this situation? If so, how would I change this problem into that expression? 1 solutions
Answer 128924 by checkley77(12569) on 2008-12-18 19:13:22 (Show Source):
You can put this solution on YOUR website!Y=mX+b m=slope & b=y intercept.
y+x=-2 subtract x from both sides.
y=-x-2 y intercept=-2
 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -x -2).
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