What is the value of x?

enter your answer in the box.

x =

x = 12

Step-by-step explanation:

IMPORTANT: Both answers should add up to 180 if they dont you did it wrong!

(10x - 20) + (6x + 8 ) = 180 plug in 12 for both of them

(10 * 12 - 20) + 6 * 12 + 8) = 120

(120 - 20) + (72+ 8 ) = 180

(100) + (80) = 180

so x = 12

hope this  helps please make brainliest

(dP/dt) = 0.00078P (2000 - P)

Step-by-step explanation:

A logistic differential equation is given as

(dy/dx) = ay(b - y)

where a and b are constants.

So, for this question,

(dP/dt) = aP(b - P)

b is the total possible value that P can attain and for this question, b = 2000 (the total number of people at the party)

Taking the time at 9pm to be t = 0,

At t = 0,

P(0) = 400 and (dP/dt) = 500 at t = 0

Inserting these into the differential equation

(dP/dt) = aP(b - P)

500 = 400a(2000 - 400)

400a = (500/1600)

400a = 0.3125

a = (0.3125/400)

a = 0.00078125

(dP/dt) = aP(b - P)

Inserting the constants

(dP/dt) = 0.00078125P (2000 - P)

Hope this Helps!!!