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checkley77 answered: 12560 problems
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Finance/174487: Can someone please help me with this problem:
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) About Me  on 2008-12-28 10:21:08 (Show Source):
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.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


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) About Me  on 2008-12-28 10:14:53 (Show Source):
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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.


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) About Me  on 2008-12-28 10:07:17 (Show Source):
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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.


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) About Me  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.


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) About Me  on 2008-12-28 09:57:04 (Show Source):
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y<2x-3 or y=2x-3 (red line)
y>= -2/3x+2 or y=-2x/3+2 (green line)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x+-3%2C+-2x%2F3+%2B2%29+ (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)


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) About Me  on 2008-12-27 20:32:38 (Show Source):
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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.


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) About Me  on 2008-12-27 20:23:36 (Show Source):
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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


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) About Me  on 2008-12-27 20:12:55 (Show Source):
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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


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) About Me  on 2008-12-27 10:31:58 (Show Source):
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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



Probability-and-statistics/174453: what number should be added to the following set of data so that the mean,median,and mode will become the same number ?
91,93,93,95,95,98,100
1 solutions

Answer 129446 by checkley77(12569) About Me  on 2008-12-26 19:07:11 (Show Source):
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91,93,93,(95),95,95,98,100
Proof:
Sum=760
760/8=95 median, mode, mean.


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) About Me  on 2008-12-20 16:16:50 (Show Source):
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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


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) About Me  on 2008-12-20 16:09:09 (Show Source):
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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.


expressions/174176: solve:
1. 2-8x+26-2x
2. 5/6x-1=1/6x+23
1 solutions

Answer 129109 by checkley77(12569) About Me  on 2008-12-20 15:57:21 (Show Source):
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1. 2-8x+26-2x
-10x+28
2(-5x+14) ans.
-----------------
2. 5/6x-1=1/6x+23
5x/6-1x/6=23+1
4x/6=24
4x=6*24
4x=144
x=144/4
x=36 ans.


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) About Me  on 2008-12-19 17:01:55 (Show Source):
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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



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) About Me  on 2008-12-19 16:51:07 (Show Source):
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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



Mixture_Word_Problems/174074: How do you solve a^2-2AB+B^2/A+B
1 solutions

Answer 129032 by checkley77(12569) About Me  on 2008-12-19 16:33:43 (Show Source):
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(a^2-2AB+B^2)/(A+B)
(a-b)(a-b)/(a+b)does not factor.


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) About Me  on 2008-12-19 16:26:25 (Show Source):
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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.


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) About Me  on 2008-12-19 16:13:38 (Show Source):
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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


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) About Me  on 2008-12-19 11:07:48 (Show Source):
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50/x=2/100
2x=50*100
2x=5,000
x=5,000/2
x=2,500 is the estimated number of bears.


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) About Me  on 2008-12-19 11:03:57 (Show Source):
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(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.


Quadratic_Equations/174095: Write the equation of the line (in slope-intercept form) that passes through (3,4) and has a slope of 5/3.
1 solutions

Answer 128997 by checkley77(12569) About Me  on 2008-12-19 10:57:50 (Show Source):
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Y=mX+b
4=5*3/3+b
4=15/3+b
4=5+b
b=4-5
b=-1
y=5x/3-1 ans.
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+5x%2F3+-1%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 5x/3 -1).


Quadratic_Equations/174106: The sum of the squares of two consecutive even positive integers is 340.Find the integers.
1 solutions

Answer 128996 by checkley77(12569) About Me  on 2008-12-19 10:54:29 (Show Source):
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x^2+(x+2)^2=340
x^2+x^2+4x+4=340
2x^2+4x+4-340=0
2x^2+4x-336=0
2(x^2+2x-168)=0
2(x+14)(x-12)=0
x-12=0
x=12 ans.
x+2=14 ans.
Proof:
12^2+14^2=340
144+196=340
340=340


Probability-and-statistics/174117: if there are 13 books on the shelf and you choose 5 of them to line up on the second shelf how many different ways to line them up? order unimportant
1 solutions

Answer 128995 by checkley77(12569) About Me  on 2008-12-19 10:48:23 (Show Source):
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13*12*11*10*9=154,440 ans.


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) About Me  on 2008-12-19 10:46:49 (Show Source):
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.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


Equations/174034: -10=2(x-10)+6x
solve the equation.
1 solutions

Answer 128938 by checkley77(12569) About Me  on 2008-12-18 19:39:19 (Show Source):
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-10=2(x-10)+6x
-10=2x-20+6x
-10+20=8x
8x=10
x=10/8
x=5/4 ans.
Proof:
-10=2(5/4-10)+6*5/4
-10=2(5-40)/4+30/4
-10=2(-35/4)+30/4
-10=-70/4+30/4
-10=-40/4
-10=-10


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) About Me  on 2008-12-18 19:33:27 (Show Source):
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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


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) About Me  on 2008-12-18 19:29:00 (Show Source):
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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%28+300%2C+300%2C+-6%2C+5%2C+-6%2C+5%2C+-x%2F7+%2B8%2F7%2C+-x%2F7+%2B6%2F7%29+ (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).


Points-lines-and-rays/174018: This question is from textbook
Find the equation of the line passing through the two points (-1,-7)(-1,-6).
1 solutions

Answer 128929 by checkley77(12569) About Me  on 2008-12-18 19:18:13 (Show Source):
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(-1,-7)(-1,-6).
slope=(y2-y1)/(x2-x1)
slope=(-6+7)/(-1+1)
slope=1/0 or an undefined slope which is a verticle line through x=-1 ans.


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) About Me  on 2008-12-18 19:13:22 (Show Source):
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Y=mX+b m=slope & b=y intercept.
y+x=-2 subtract x from both sides.
y=-x-2 y intercept=-2
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-x+-2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -x -2).


Probability-and-statistics/173939: out of 35 programmers,25 knows FORTRAN, 28 knows pascal and 2 know neither. How many know both the languages?
1 solutions

Answer 128840 by checkley77(12569) About Me  on 2008-12-18 10:29:30 (Show Source):
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35=(25+28-x)+2
35=53-x+2
x=53+2-35
x=55-25
x=20 number of programmers who know both languages.


Linear-systems/173948: -x – 6 > -3x + 9
1 solutions

Answer 128839 by checkley77(12569) About Me  on 2008-12-18 10:23:47 (Show Source):
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-x – 6 > -3x + 9
-x+3x>9+6
2x>15
x>15/2
x>7.5 ans.
Proof:
Let x=7.6
-7.6-6>-3*7.6+9
-13.6>-22.8+9
-13.6>-13.8