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If Chevys sale fell by 50%, 2*.5 is 1 for a ratio of 3:1.

to get a ratio of 5:1, 2800 must equal two parts for any car sale.

So 1400 is one part, and we see the ratio is 7000;1400

Checking our work

  4200:  2800

+2800 -1400

7000:1400

Tesla sold 7000 Evs in feb 2018.

I got 

(4,22)

(22,4)

(10,20)

(20,10)

36=2^2*3^2 or 2*2*3*3

Only one possibility because no number can equal one to make others larger

a=2 b=2 c=3 d=3

10-10:59 - 1 hour

11-11:59 - 1 hour

12 - 1 minute

2hrs 1 minute = 121 minutes

121 minutes*60 seconds per minute = 7260 seconds

7260 * (6/20) = 2178 drips

Can you please elaborate on your solution?

how does 24 made f(-1)=1?

We can use the finite difference method:

f(-1) f(2) f(-3) f(4) f(1)

-1 -4 -9 -16 -1

-3 -5 -7 15

-2 -2 22

0 24

24

Therefore f(1) = -1.

(2x + 7)  ( x - 5)   =  -43 +  jx         expand

2x^2  -8x  - 35  =  -43 + jx         rearrange as

2x^2 - ( 8 + j)x  + 8  = 0

This will have one real  root  if the discriminant   =  0   ....so....

(8 + j)^2    - 4(2) ( 8)   =  0

j^2  + 16j + 9   - 64   = 0

j^2  + 16j  - 55    =   0

j = -8 + sqrt(119), -8 - sqrt(119)

Here is a 'blank' that you can use in Paint app:

This  cannot be....

   40 are said to have a VCR    yet there are    15  +  25  +  10  = 50 that are 'spoken for'   in the description

                           (25-10     +     35 -10       +   10  ) 

1 pack / 120 gm   *  28.35 gm / oz   *  21 oz  =  4.96 =~~5 packs

T₅₀  = T₁  +  6(50-1)   =   7 + 6*49    = 301

Sum  = 

(first term + last term)  (number of terms)/ 2   =

(7 + 301)  (50) / 2   =

(308) * 25    = 

7700

Alan   How to get the numbers 72  120  360 ?

See  my following (crummy) graph

Let  the top left circle  be  History

The top right Biology

The bottom Science

We have 21  students  taking one  (or more ) of the  three courses

So

30 - 21  =  9    who do not take any of them

Ounce is an imperial system unit of mass. 1 ounce = 28.349523125 grams. 1 troy ounce = 31.1034768 grams. The symbol is "oz". Common conversions from oz to ...

All  right!!!!....I'll use the Desmos one.....Even I can't mess THAT UP !!!!

THX a bunch  !!!!!

xy + x + y = 23

yz + y + z = 31

zx + z + x = 47

Probably a better way to do this....but, anyway

xy + y =  23 -x                  zx  + z  =  47 - x

y ( x + 1)  =  23 -x            z ( x + 1)  =  47-x

y = (23 -x)  / (x + 1)          z =  (47 - x) / ( x + 1)

yz  +  y +  z =   31

( 23-x) /( x + 1)  ( 47 - x)/ (x + 1)   +  (23- x)/(x+1)  + (47 -x) /(x + 1)  =   31

Multiply  through  by (x + 1)^2

(23 - x)  ( 47 - x)  + (23 - x)(x + 1)  + (47 - x) ( x + 1)   =31 ( x + 1)^2

x^2 - 70x + 1081  -x^2 +22x + 23  -x^2 + 46x + 47  =  31x^2  + 62x + 31    simplfify  as 

32x^2 + 64x  -1120   =  0     divide through  by 32

x^2  + 2x  -  35   =   0   factor

(x  + 7) ( x -5)   = 0

Set both  factors to   0  , solve for  x

x = -7     y = (23 -  -7)/( -7 + 1)   =   30/-6 =  -5     z =  (47 - -7 ) /(-7 + 1)  =  54/ -6  =  -9

x =   5    y  = ( 23 - 5) / (5 + 1)  =  18/6 =  3         z = (47 - 5)/(5 + 1)  = 42/6   =7

So  

 { x, y , z}  =  { -7, -5, -9)    or   { 5, 3, 7}  

Also, one way to get a nice picture of the graph is to click the share button and then click "Export Image" 

If you feel comfortable using Desmos, I just made this template to create Venn Diagrams with:

OK, thanks.....I'll have to  explore that....

surface area of cube =  6side^2 = 6S^2   units

volume = S^3     units

So....

 (6 S^2) units  =   S^3/6   units

36S^2   =  S^3          divide out S^2

36 =   S^2

S  =  6

Cubic units in volume  = 6^3   = 216

Side of  square she  wants to  construct =  sqrt (216)  =sqrt (36*6)  = 6 sqrt (6)  units

I used "paintbrush" which is basically an equivalent to MS Paint for Mac

(I'm not sure if MS Paint has a feature to adjust the opacity of a color...it has been a while since I have used that!)

L will be perpendicular to the line joining the 2 points.

Find the gradient of the line joining the 2 points.

The gradient of l will be the negative reciprocal.

Gradient is another word for slope.

Where did you get the Venn diagram maker, hectictar???

There used to be a good one online that I used, but it  "disappeared"....I haven't found any  that I like

There are 5 dogs that haven't learned any tricks.

(If you would like an explanation on how to make this Venn diagram please ask )

base 3 numbers with 4 digits - 1000-2222 which is 27-80

base 6 numbers with 2 digits- 10-55 which is 6-35

the range is 27-35

the average is just the middle number for odd number consecutive positives

middle is 31

So the average of the positive integers, when written in base 3 that contains 4 digits but in base 6 contain 2 digits, is 31.