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from 1920-1960 there is 40 years
:
the difference between 45.4-44.6=.8
:
that difference took place over a 40 year span so we have to divide the difference by 40 to get a yearly average of the change
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.8/40=.02. this is how much on average per year that the race time is falling
:
equation: R(t)=-.02t+45.4
:
b)2003 would be 83 years:R(83)=-.02(83)+45.4=-1.66+45.4=43.74sec
2006 would be 86 years:R(86)=-.02(86)+45.4=-1.72+45.4=43.68sec
:
c)43.4=-.02t+45.4
:
-.02t=-2
:
t=100 years......so in the year 2020 this formula predicts a time of 43.4sec

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let s be the total sales
:
s+.06s=895.91
:
1.06s=895.91
:
s=845.20
:
so taxes collected are:895.91-845.20=

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v-4(4-v)=-2(2v-1)
:
v-16+4v=-4v+2
:
5v-16=-4v+2
:
9v=18
:

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let x and y be our two odd intergers y=x+2
:
x+x+2+23=x(x+2)
:

:

:
x=5 and -5
:
5(7)=5+7+23..check
-5(-3)=-5-3+23..check
:
integers
integers

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17*16*15*14*13/5*4*3*2=742560/120=6188

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has to have an equals if its inclusive
:
where x is the actual weight of a "16 oz" bag of flour

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6!10!/4!12!=6*5/12*11=30/132=15/66=5/22
:

Mathtut WAS wrong because he made a math error NOT

 because he misinterpreted any thing
.......This has been corrected. 
I am quite sure EDWIN never does that...lol

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so it takes 70.7 pounds of apples and 1 pound of taffy to make 71.7 pounds of taffy-apples
:
17637 (taffy-apples)/71.7 pounds (taffy and apples)
:
=245.98325 batches
:
taffy used: 245.98325(1)=245.98...rounded to pounds
:
pounds of apples used:245.98325(70.7)=17391...rounded to pounds

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if it is inclusive you must have an equal sign along with the inequality
:

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2(8*3)+2(8*2)+2(3*2)=48+32+12=92 sq in.

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:
....multiplied all terms by 8
:
added like terms on left and subtracted 8x from both sides
:

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ok, lets call the distance d, the rate r, and the time t
:
d=40t.....trip to
d=60t.....trip back
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solve for t
:
t=d/40....trip to
t=d/60....trip back
:
now lets take the time traveled for the entire to and back trip and multiply it by average rate for the whole trip which will be equal to 2d
:

:
found common denominator on left
:
divided all terms by d
:
combined numerator on left and multiplied by 120 on both sides
:
mph average for whole trip
:

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:

:
is the answer

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first you have to take out the christmas bonus
:
99400-7700=91700
:
so that is 91700 in yearly wages. There are 12 months in a year so to find the montly salary we divide the yearly wages by 12
:
per month

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7x+2 < 5x-8
:
2x<-10....subtracted 5x and 2 from both sides
:

:
the boundry would be a dotted line at x=-5, which is a line 5 units to the left and parallel to the y axis. It is dotted because it is excluded. Shade everthing to the left of that line.

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:
inches

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just plug that d- value into the equation
:
q(50)=1+50/33=83/33atm

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your forgot to give us the total of her earning?????????

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we know the distance are equal 3 miles
:
lets call kims rate r and her time t
:
Bryan's r would be r+10 and his time would be t+1/4(remember this is all in hours)
:
Kim:::: 3=rt................eq 1
Bryan:: 3=(r+10)(t-(1/4))...eq 2
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lets rewrite eq 1 to t=3/r and plug it into eq 2
:
3=(r+10)((3/r)-(1/4))
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3=(r+10)((12-r)/4r)found common denominator 2nd term on the right
:
12r=(r+10)(12-r)....multiplied both sides by 4r
:
multiplied out right side
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put all terms on one side
:
r=7.04mph-Kim's rate, (as the negative value is thrown out)
:
r+10=17.04mph-Bryans rate

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=580 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 7.0415945787923, -17.0415945787923. Here's your graph:

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:
added x to both sides
:
squared both sides
:
put all terms on 1 side
:
factored
:
x=2 and x=-1
:
check for extraneous roots
:
-1 is and extraneous root so we throw it out(it does not make the statement true
:

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just plug that value into the equation
:
q(50)=1+50/33=83/33=2.51atm

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6x=5x-5
:
subtracted 5x from both sides

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if it is perpendicular to the x axis it is a vertical line
:
to pass through (-4,7) and be vertical the equation has to be
:
x=-4

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9x + 4 = 4x+ 5
:
5x=1.........subtracted 4x and 4 from both sides
:
...divided both sides by 5

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c=1/2mq
solving for m
:
2c=mq......multiplied both sides by 2
:
divided both sides by q

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let number of packages speedy,ralphs,and sendquik delivered be a,b,and c respectively
:
a=2b.......eq 1
b=c+1......eq 2
a+b+c=7....eq 3
:
rewrite eq 2 to c=b-1 and take that value and the value of a in eq 1 and plug them into eq 3
:
(2b)+b+(b-1)=7
:
4b=8
:
packages delivered by ralphs
:
packages delivered by speedy
:
package delivered by sendquick

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points are made under the lowest, highest,1st quartile, median, 3rd quartile
:
then a box is created around the 1st and 3rd quartiles with a line made throught the median then whiskers are drawn to the lowest and highest data.
:
lowest-5
1st quartile is 4th and 5th terms divided by 2 : 11+12/2=11.5
median is the 9th and 10 terms added and divided by 2: 16+17/2=16.5
3rd quartile is 14 and 15 terms added and divided by 2: 24+25/2=24.5
highest-30

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4(x+4)=6(x-2)
:
4x+16=6x-12.....distributed left and right sides
:
-2x=-28.....subtracted 6x and 16 from both sides
:
divided both sides by -2

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4(3x-6)=12(x-2)
:
12x-24=12x-24
:
this equation has infinite solutions
:
no matter what value you put in it is a true statement.

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oooooops you forgot the problem....remember we have no access to your homework problems...thanks Mathtut

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-3+-4=-7
-4x0=0
0 divided by-7=0
4/5 divided by 1/5 =(4/5)*(5/1)=4