ElectricPavlov

c = 9s

in one year  Creampuff will be    c+1    and son will be   s+1

c+1 = 7 (s+1)             from the first equation    we have   c/9 = s      sub this in to the second equation

c+1 = 7(c/9+1)      solve for c

c -7/9 c = 6

2/9 c = 6

c  =  27          (s = 3) 

Set up a ratio

4 ft mailbox is to 2.4 ft shadow       as      x  ft lamp is to 8 ft shadow

4/2.4  = x/8    

                            solve for   x = lampost height

sum of ingredients = final ingredients

1%(1liter) = .01 (1)      2% of 2 liters = .02(2)

.01(1)    + .02(2)      + .04(4)    =   x  (7 liters)       solve for   x = .03   or    3%

cars (4) and trucks(3)       represent     (4+3)   out of  (4+3+2)   vehicles   or   7/9 of the vehicles     the remaining 2/9 are motorcycles

   7/9 x = 42      where x = the total number of vehicles        x = 54

2/9 of these 54 vehicles are motorcycles     2/9 (54) = 12 motorcycles

The function is linear , so it can be written in line form    y = mx+b    where m = slope = -3.2

y = -3.2 x + b      you are given one point  ( 2.5, 13.6)    sub that in to get 'b'

13.6 = (-3.2)(2.5) + b      to find b = 21.6

so   g(x) = -3.2 x  + 21.6       now put in x = 8.8        and calculate  g(8.8)= ......

Here is Venn of the problem.....looks like 27 English only....

perimeter = 2 L + 2W       and L = 2W-5   substitute this into the equatoin for perimeter

44       =     2 (2W-5)  + 2W

                   4W-10+2W

          W = 9 m                       then   L = 2W-5 = 13 m    

-7x - 4y - 3 <= y + 1

-7x -5y-4<=0      is an area ....   here is a graph:

https://www.desmos.com/calculator/lltrah9ary

volume of a pyramid = 1/3 A_b h       using eha as base    area = Ab = 1/2 5 * 6

using h as EF = 4

1/3  (1/2 5*6) * 4

= 20 units³                       Anyone else?

3x^2 + 4x + 1     divide by 3

x^2 + 4/3 x + 1/3     complete the square

(x+ 4/6)^2   -16/36 +1/3 =

(x + 4/6)^2  - 1/9        now put the '3' back in

3 (x+4/6)^2 -1/3         now you can see  a   h   and k