ElectricPavlov

3/4 yd -  3/8 yd

6/8     - 3/8 =  3/8 yd left

b = 3/4 d     <======Given

then

b = 6/11( d+15)         Sub in the red equation

3/4d = 6/11d + 90/11

d = 40   dollars originally

See image below:

angle z   + angle apq  + 45   = 180 degree straight line

tan z = x / (1/2 x) = 2

arctan(2)  = z = 63.434

63.434 + APQ  + 45 = 180

APQ = 71.565 degrees

m +6 -20      given    <==== this is the money at the end

m - 14   

m  /  (m-14)  =  10 / 3

3m = 10 m - 140

b)  m = 20   dollars originally          20 - 14 = 6 at the end        a)  difference = 14 dollars

See image below:

Triangle area - cicle sector area * 3 = area in question        

sqrt(3)/4 ( 36/ pi)²   - 3  * 1/6 *  pi ( 18/pi)²    = shaded                (we use 1/6 because the sector of the circle is 60/360 of the circle)

324 sqrt(3) / pi²    - 162 / pi     <============   Same answer as  LR    Way to go Logarhythm!!

Pages needed    = (1000 - 380) / 80 = 7.75 pages

soooo  8 <= p

LOOKS LIKE 12 TAKE BIOLOGY ONLY

which inequality best shows how many more pages (p) Devin needs?     <======= DO YOU HAVE SOME CHOICES?

Simultaneous equations      x =   3 egg + 2 flour recipe     (CHOCOLATE)

                                             y =  5 egg  + 3 flour recipe     (RED VELVET)

For the eggs     3x   + 5y   = 111

for the flour       2x  +  3y  = 69     multiply by - 1.5  to get :

                         -3x  - 4.5y = -103.5           add the red equations to get  y = 15     then   x = 12   CHOCOLATE CAKES