ElectricPavlov

Originally   j = 1/8 c

then cody gives 1/2 to jay

j + 1/2 c   =   1/2 c  + 4         sub in the red equation

1/8c + 1/2 c = 1/2 c + 4

c = 32  originally              ( j = 1/8 c = 4)

f(x) + a\cdot g(x)?
 f(x) + a * g(x)                       'a' does not change the degree of g(x)....it only changes the coefficients

                                  largest possible degree will be 4

m = 5/8 a

then  1/2 a   switch clubs

m + 1/2 a  =  1/2 a  + 40         sub in the red equation

5/8 a   + 1/2a = 1/2 a + 40

a = 40 * 8/5 = 64   members originally

Studying a z-score table , you will find      z =  -1.96   = .025

                                                 and           z = +1.96   = .9750             .9750 - .025 = .95 = 95%

Standard deviation 2.1    ( 1.96 standard deviations above and below the mean (7.2) will encompass 95% )

7.2    -    2.1 ( - 1.96) = 3.084 jobs

7.2    +   2.1 (+1.96)  = 11.316 jobs              so I THINK the 95% confidence interval is   3.084  to 11.316 jobs      (not positive of this answer)

j = 4 a

then

2j = (a+35)      sub in the first equation

2 ( 4a) = a + 35

7a = 35

a=5        j = 4 a = 20 cards originally

A = 3500 ml

B = 3500 - 390 = 3110 ml

C = 3110 -220 = 2890 ml

21        +   9 (32)     +    2(30)      =   369 apples

It does not say if signs are required at the end ....I will assume it is required

 6 miles   x    8 stops/mile     x    2 sings per stop = 96 signs required

https://web2.0calc.com/questions/graphing-circles_4#r1

Area of a rectangle    =  l x h

   28 x    =    l * 8

   28x = 8L

    L = 28x/8 = 7x / 2  

Perimeter =   8   +  8   +   7/2 x   + 7/2 x  = 16 + 7x                ( is that 'x' supposed to be in there????)