Solve the equation 8x - 27 = 189

2 answers:

6 0

$\huge {\pink{ \boxed {\purple{\fbox{ \green{ \tt {Answer}}}}}}}\\ \\ \tt \implies x=27 \\ \\8x - 27 = 189\\ 8x = 189 + 27 \\8x = 216 \\ \\x =\frac{216}{8} \\ \\x = 27$

zavuch27 [327]2 years ago

3 0

Answer:

x=27

Step-by-step explanation:

8x - 27 = 189 Add 27 to each side

+27 +27

8x = 216 Divide each number by 8

÷8. ÷8

x = 27

I hope this helps! <3

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How many degrees are in the sum of the interior and exterior angles of a polygon having 5 sides?

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Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and t

WINSTONCH [101]

Answer:

Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and their number is increasing at the rate of 1 dP dt = rodent per month when there are P = 10 rodents.

How long will it take for this population to grow to a hundred rodents? To a thousand rodents?

Step-by-step explanation:

Use the initial condition when dp/dt = 1, p = 10 to get k;

$\frac{dp}{dt} =kp^2\\\\1=k(10)^2\\\\k=\frac{1}{100}$

Seperate the differential equation and solve for the constant C.

$\frac{dp}{p^2}=kdt\\\\-\frac{1}{p}=kt+C\\\\\frac{1}{p}=-kt+C\\\\p=-\frac{1}{kt+C} \\\\2=-\frac{1}{0+C}\\\\-\frac{1}{2}=C\\\\p(t)=-\frac{1}{\frac{t}{100}-\frac{1}{2} }\\\\p(t)=-\frac{1}{\frac{2t-100}{200} }\\\\-\frac{200}{2t-100}$