The set up is:

20 + .50M   = 10 + .80M     subtract .50M, 10 from both sides

10  = .30M     divide both sides by .30

10 / .30  = M   =  about 33 + 1/3 miles driven equalize the cost

[Jana used  " -.50M"  in the original set up instead of  " +.50M"   ]

_nP_r  =  n! / (n - r)!     --->     ₈P₁  =  8! / (8 - 1)!  =  8! / 7!  =  8

_nC_r  =  n! / [ (n - r)! · r! ]    --->     ₅C₃  =  5! / [ (5 - 3)! · 3! ]  =  5! / [ 2! · 3! ]  =  10

So the answer is  8 x 10  =  80

Yes you are right thanks CPhill ! :)

I understood the general idea

Yes i wanted to say exactly the opposite but i mixed them supid me :/

Thanks Geno ! :)

What is 8P1 * 5C3?=[8!/(8-1)!] x [5!/(5-3)! 3!]=8 x 10=80

s³ = 216      take the cube root of both sides

s = 6 cm  = the side length

Let's take a particular example; let's say that f(x)  =  7x + 29.

y  =  f(x) + 3  =  (7x + 29) + 3  =  7x + 32

y  =  f(x + 3)  =  7(x + 3) + 29  =  7x + 21 + 29  =  7x + 50

This shows that, for this case, the two lines are parallel because they have the same slope but different y-intercepts.

This says that the answer is (A).

f(x) + 3  takes the original function, f(x), and moves it up 3 spaces but leaves the slope alone.

f(x + 3)  makes the y-value of f(x) the y-value of f(x + 3); it moves it 3 spaces down the line but leaves the slope alone. 

My suggestion to doing problems like this:  take a particular example but don't use values for m and b that are special numbers, such as 0, 1 or -1. Then, analyze what happens to the particular beginning example.

Actually...I believe the answer should be 3

We are only concerned with positive integer values for x

Clearly.....the posiitve integers 1 and 2    make the radical negative...and thus "not real'

And...x^2 - 8x - 20 = 0   factors as (x -10) (x + 2) = 0.....so the integers -2 and 10 make the denominator 0......but 10 is the only positve x that makes the denominator 0

So.......the positive integer values for x that make this function undefined  are 1, 2 and 10

yes D is need to be answer

awesome 1000000000000000000000000000000000000000000000000000000000000000000/10 its over nine thousand!!!!!!!!!!!! brought you by: vegeta getting mad at goku #awesomesaiyan #keepontrolling

Let W = number of wristbands.

Let B = number of belts.

Number equation:  W + B  =  30

Value equation:  5.50W + 8.75B  =  204.00

Multiply the top equation by 5.50 and subtract it from the bottom equation:

     5.50W + 8.75B  =  204.00              <---  5.50(W + B  =  30)

     5.50W + 5.50B  =  165.00

     ---------------------------------

--->             3.25B  =  39.00                <---  subtract down the columns

--->                    B  =  12                     <---  divide by 3.25

Since W + B  =  30   --->   W + 12  =  30   ---?   W  =  18

There were 12 belts and 18 wristbands.

Thank you Geno3141 ! :)

I'm assuming that you mean degrees, minutes, seconds:

There are 60 minutes in each degree and 60 seconds in each minute (making 3600 seconds in one degree).

sin( 351° 22' 58" )  =  sin( 351 + 22/60 + 58/3600 )  =  sin( 351.3827777...)  =  - 0.14983...

If that's not what you mean ????

Functions will not have real answers if the denominator is zero.

Factoring the denominator:  x² - 8x - 20  =  (x - 10)(x - 2)   ---> therefore the two numbers, 10 and 2, must be excluded.

Also, functions will not have real answers if there is a negative number under the square root sign.

All numbers smaller than 3 will give a square root of a negative number, therefore, they must all be excluded. This is an infinite number of numbers.

The answer, then, is (d) -- you must exclude an infinite number of numbers. 

FRIDAY kin'yobi!!!1 WHO IS WITH ME?!?!

\(2\sqrt{3}-\sqrt{3}=\sqrt{3}\quad\left(\mathrm{Decimal:\quad}\:1.73205\right)\)

1/24

HOORAYYYYYYYYY!!! I AGREE WITH U HANNA, TGIF!!!!!!!!!!!!!!!!!!! LUV THE PICS, LOL!

\(C=d\pi\\ C=16\pi\\ 16\pi\times5=80\pi\)

The nth term of the series is generated  by :   n!  / [2n - 1] 

19 or 21, your choice

3.14159265358979323846264338327950288419716939937510 58209749445923078164062862089986280348253421170679 82148086513282306647093844609550582231725359408128 48111745028410270193852110555964462294895493038196 44288109756659334461284756482337867831652712019091 45648566923460348610454326648213393607260249141273 72458700660631558817488152092096282925409171536436 78925903600113305305488204665213841469519415116094 33057270365759591953092186117381932611793105118548 07446237996274956735188575272489122793818301194912 98336733624406566430860213949463952247371907021798 60943702770539217176293176752384674818467669405132 00056812714526356082778577134275778960917363717872 14684409012249534301465495853710507922796892589235 42019956112129021960864034418159813629774771309960 51870721134999999837297804995105973173281609631859 50244594553469083026425223082533446850352619311881 71010003137838752886587533208381420617177669147303 59825349042875546873115956286388235378759375195778 18577805321712268066130019278766111959092164201989

base * height

wxy                            y

-------            =        --------   

8w^2x                       8w

There weren't any decimals in the "186" and "207"  of your original question !!!!!

Assuming that the 18.6 is the width and the 20.7 is the length

First.....we would have 4 rows of 3 tiles each in a row  = 12 tiles  = 300 cm^2

Then....we could tack a tile on the end of each row that had cut width of [ 18.6 - 15] = 3.6cm

Thus 4 tiles would be cut, each having a width of 3.6cm and a length of 5cm

And the total area of these = 4 * 3.6 * 5 = 72cm^2

And, at the bottom.....we would have 3 more cut tiles each having a width of 5 cm  and a cut length of .7cm.......and the total area of these = 3* 5 * .7 = 10.5 cm^2

Finally....there is one tile remaining at a corner that has a cut width and length of  3.6cm by .7 cm = 2.52 cm^2

So....the total area covered  = 300 + 72 + 10.5 + 2.52  = 385.02 cm^2

And we would use 12 whole tiles plus  [4 + 3 + 1]  = 8 cut tiles

So 20 tiles are used and 89 - 20   = 69 are not