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1/5a + 34 = a/5 + 34

1/5 ( a+ 34) =   a/5 + 34/5

2nd line is that a sqrt of 3? or a sqrt of 3y? Not to judge, but I think it's more formal to write it as y sqrt of 3

Hi,

I am sorry that you are having this problem.  We always encourage our guests to become members,

This is an ongoing problem.  I wasn't sure if it had been fixed but obviously it has not.  

I will let admin know but if it was easily fixed I am sure he would have already done so.

All I can suggest is that you sign your posts with the username that you choose for yourself. 

That way you will become known even before you manage to make an account.   

8% is 8 out of a hundred    8 / 100 =   2/25

7/20 as a percent is   7 ÷ 20   X   100%  = 35%

22%   is 22 out of  hundred    22/100 =   11/50

1/2    is     1 ÷ 2    X 100% =   50%

125%   is    125/100 =   1  25/100  =  1  1/4

There are 360 degrees in a whole circle, you have 60 degrees.  SO you have   \(\frac{60}{360}\)   of a circel

The area of a whole cirlce is  \(A=\pi r^2\)

If this was the whole circle the area would be    \(\pi* 30^2 = 900\pi \;feet\;squared\)

SO the area of just the sector will be     \(\frac{60}{360}*\pi*900 \;\;feet squared\)

and you can do the calculation.

Thanks Bilderboi and EP

You did make a mistake builder boi which EP picked up on. 

Here is my answer just to stop any confusion.  

\(\frac{\frac{x}{\sqrt3}}{y}\\ =\frac{x}{\sqrt3}\div y\\ =\frac{x}{\sqrt3}\times \frac{1}{y} \\ =\frac{x}{y\sqrt3}\qquad \text{I know that you already got this far} \\ \text{now you just need to reationalize the denominator}\\ =\frac{x}{y\sqrt3} \times \frac{\sqrt3}{\sqrt3}\\ =\frac{\sqrt3\; x}{3y} \)

Hi,  Elijah     ....      Please don't give out your personal info on the website.

   I lived in Lexington many years ago....I liked it !

        Why not get an account?     ~ EP

I've validated it... it is incorrect. Sorry. Any ideas?

x / (y sqrt3)     multiply by    sqrt3/sqrt3

x sqrt 3 /  3y        or     x y^-1  sqrt 3 / 3

a) - 1 to 111 - keep
112 to 222 - skip
223 to 333 - keep
334 to 444 - skip
445 to 555 - keep
556 to 666 - skip
667 to 777 - keep
778 to 888 - skip
889 to 999 - keep
1000 to 1110 - skip
1111 to 1221 - keep
1222 to 1332 - skip
1333 to 1443 - keep
1444 to 1554 - skip
1555 to 1665 - keep
1666 to 1776 - skip
1777 to 1887 - keep
1888 to 1998 - skip
1999 to 2011 - keep [Remainder of the last 13]
Total ==[9 x 111] + 13 ==999 + 13 ==1012
Minimum number==1012 + 1==1013.

b) - Any 111 + 1 ==112 numbers drawn, there will always be a difference of at least 111 between the largest and the smallest numbers drawn.

Multiply both the numerator and the denominator by \(y \over \sqrt3\), the reciprocal of \(\sqrt3 \over y\). 

This gives: \(xy\over \sqrt3\), which can be written as \(xy \sqrt3 \over 3\)

See image below

Use sin rule to find 'x'    = the base

use    sin 30 = height / hyp    to find height

then    area = 1/2 base * height

e = earth diameter in feet

(e+10) pi  -  e * pi = distance difference

epi + 10 pi  - epi

=     10 pi     feet

Nice going EP.

I got the same answers.

Let   the function   be of the form

ax^2  + bx  +  c

We  have  this  system of equations

a(1)^2  + b(1) + c  =   -24   ⇒    a + b  + c   =  -24      (1)

a(4)^2  + b(4)  + c =  0    ⇒      16a + 4b + c  =  0       (2)

a(7)^2  + b(7)  + c  =  50    ⇒    49a + 7b + c  =  50    (3)

Multiply  ( 1)  by -1   and add to (2)   ⇒ 15a + 3b = 24  ⇒  5a + b =  8       (4)

Multiply (1)  by -1   and add to (3)  ⇒   48a + 6b = 74   ⇒   24a + 3b =  37   (5)

Multiply  (4) by -3  and add to (5)  ⇒   9a  =  13   ⇒   a =  13/9

And  5 (13/9) + b = 8

65/9 + b = 72/9

b = 72/9 - 65/9  =  7/9

And  (13/9) + (7/9) + c =  -24

(20/9) + c =  -24

c = -24 - 20/9   =  -236/9

The function  is     (13/9)x^2  + (7/9) x -  236/9

And  f(-1)  =  (13/9) - (7/9)  - 236/9    =  -230 / 9

Since W and X  form 1/2 of the area, then   Z and Y  form the other half

So  

Z + Y   =    1/2        and     (1/2)Y + Y  =  1/2    .....so.....

(3/2)Y  = 1/2

Y  =  (1/2) ( 2/3)  =   1/3

And

W + X =   1/2    and    3X + X  = 1/2   .....so....

4X  = 1/2

X =  (1/2) (1/4)  =   1/8

So

X + Y  =    (1/8)  + ( 1/3)  =    11/24

Let the two numbers be a , b  with a > b

So

a + b  = 25    (  1)

a/b = 4    ⇒   a  =  4b      (2)

Sub  (2)  into (1)

4b + b  =25

5b = 25

b = 25 / 5   =   5

And  a =  4(5)  =  20

20 and 5

I'm not sure about that

p= 100 -2x

c =  50 + 5x

(p * c) (2)   =   p(2) * c(2)   =  [100 - 2 (2) ]  *  [ 50 + 5(2) ]   =  

[ 96 ] * [ 60 ] =  5760

This means  that  the company makes $5760   when the charge is $60   per customer

Corrected answer  !!!!