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The goats produce milk at a rate of 21.7 litres per day.

21.7 liters per day * 280 days  =  6,076 liters   total

And...     6,076 liters / 0.5 liters per bottle  =  12,152 bottles

This makes sense, because if each bottle holds 1 liter, and she has a total of 6,076 liters, then it will take 6,076 bottles. But since each bottle holds half a liter, it will take two times as many bottles.

2^5 * 4^1/2 = 64

Thanks.

Not to be mean or anything, but you came to a MATH website for workout tips. You might be asking the wrong group.

6(a+3)=18 + 6a

6a + 18 =  18 + 6a

Since one side equals the other, we have infinite solutions for  "a" 

1/5(25−5a) = 4−a

5 - a  =  4 - a       add a to both sides

5  = 4

This is an absurd solution.....thus.....there are no solutions for "a"

9x =  5x+20      subtract 5x from both sides

4x  = 20            divide both sides by 4

x  = 5

I assume this is :

[6x−2] / 4 = x−2     multiply both sides by 4

6x - 2  = 4 (x - 2)

6x - 2  = 4x  - 8      add 2 to both sides, subtract 4x from both sides

 2x  = -6               divide both sides by 2

x  = -3

8/9(54x−36)+2=−3/4(−40+16x)+90x

48x - 32 + 2   =  30  -  12x  + 90x

48x - 30  =  30 + 78x           add 30 to both sides, subtract 78x from both sides

-30x  = 60          divide both sides by -30

x  = -2

1.9 x 10^-3=((6.67 x 10^-11)(8.1 x 10^2)(4.5 x 10^8))/r^2, solve for r
 0.0019 = 24.3122/r^2 cross multiply
0.0019r^2 =24.3122     divide both sides by 0.0019
r^2 =24.3122 / 0.0019  
r^2 = 12,795.89              take the sqrt of both sides
r = 113.12

A.) | 4 - 8 |   =  l  -4  l  = 4

B.) | -4 - (-8) |  =  l  -4 + 8 l    = l 4  l   = 4

2. Simplify

A.) (x+2)(x-3)    =   x(x -3)  + 2(x - 3)   =  x^2 - 3x  + 2x - 6   =   x^2  - x  -6

B.)  (x+2)^2   =   ( x + 2) ( x + 2)  =  x(x + 2)  + 2(x + 2)   =  x^2 + 2x + 2x + 4  = x^2 + 4x + 4

Let x be the number of grapes that Pierre grew in 2016.......then 2x  was the number that Alphonse grew that year

And let y be the number of grapes that Alphonse grew in 2017.....then  2y was the number that Pierre grew that year

So  we have that

2x  + y  = 49000    =     number of grapes that Alphonse grew over the two years

x +  2y  =  49000 + 7600  =  number of grapes that Pierre grew over the two years    

Simplify

2x  +  y  =  49000

x  +  2y   = 56600       

Multiply the 1st equation by  -2   and we have

-4x -  2y       =     -98000

  x +  2y       =      56600        add these equations

-3x  = -41400      divide both sides by -3

x  =  13800       

And Alphonse grew twice as many in 2016  = 27600

(3/8*5/8*5/8)3

\(3*5*5 \over 8^3\)

(75/512)*3/1

225/512

The calculator has a blank page that you can type anything you want and it will appear on that page. Then you can copy and paste it anywhere you want.

Arc length, S,  =  r * θ           wher r is the radius and θ  is  in radians

Area of a sector  =   (1/2) (r^2)*θ

So........

12  = r * θ      → θ  =   12 / r    (1)

And

108 =  (1/2) (r^2) * θ         subbing (1)  into this, we have that

108 = (1/2) (r^2) * (12 /r)        simplify

216  = 12 r         divide both sides by 12

18  = r  = the radius

And to find the angle subtended by the arc  is given by    θ  =   12 / r    →  θ  =   12 / 18  =  2 / 3

And this is in rads......so  to convert to degrees we have   .....     (2/3)  *  180° / pi  ≈  38.19°  

Thanks. But do you know how to type them on the internet?

.99^x  = 0.5    take the log of both sides

log .99^x  =  log 0.5      and by a log property we can write

x *  log .99  =  log 0.5      divide both sides by log .99

x  =  log 0.5 / log .99  ≈  68.96  =   69 days

Here's another way of attacking this......

Note that  the sum of the  terms  with odd powers of r  can be represented by :

ar  + ar^3  + ar^5 + ar^7 +  ..... + ar^(2n - 1)  =  5   

So.....the common ratio between these terms is just r^2

And the sum of this series can be represented as

5  =   ar / ( 1 - r^2)   →   (1 - r^2)  =  ar / 5     (1)

And note that the sum of the  terms  with even powers of r  can be represented by :

a  +  ar^2  + ar^4 + ar^6 + ar^8 +  ..... + ar^(2n)  =  7

And the common ratio between these terms is just r^2

And the sum of this series can be represented by

7  = a / (1 - r^2)  →   (1 - r^2)  =  a / 7    (2)

Equating (1)  and (2)  we have that

ar / 5   =  a / 7              divide both sides by a

r / 5   =  1 / 7               multiply both sides by 5

r =  5 / 7

Hi Melody,

Thanx for replying...okay, I just need then to figure out how to draw a rectangle, and maybe a circle, then I'll post the question, unless there is a different way of presenting the problem?. I was on training, so will try tomorrow morning first thing....Thank you so much..

Windows 10 has a "Microsoft Mathematics" calculator that you can download for free. You can do all math symbols on it by learning how to use it.

51^-1 mod 26 =? There is no consensus on this !. WolframAlpha gives 25 as the answer, but other calculators disagree and give 51^-1.

What are you trying to solve? your question, as written, doesn't make sense !!.

sqrt4((48*a^12)*b^13)

2 *((48*a^12)*b^13)

96a^12b^13  that is it.

I DoN'T GeT It, WhY Is yOuR NaMe 'Purple Shep'? WhY Is yOuR NaMe 'Purple Shep' aNd nOt 'PuRpLe sHeP'?

 csc theta= 9 = sin^-1(1/9) =6.379 degrees.

Now, you know one angle but you need to know at least one other side(adjacent, opposite or hypotenuse) in order to get the other 2 sides.

60/5(7-5) = do the brackets first

60/5(2)    = then start from the left

12 x 2        = 24 which is the right answer.

225/512.