Answer:
0.0597in/s
Step-by-step explanation:
The volume of the spherical balloon V= 4/3πr³
r is the radius of the balloon
The rate at which the volume is changing dV/dt is expressed as;\
dV/dt = dV/dr*dr/dt
dV/dr = 3(4/3πr²)
dV/dr = 4πr²
dV/dr = 4π(2)²
dV/dr = 16π
dV/dt = 3 in³/s
Substitute inti the formula
3 = 16πdr/dt
dr/dt = 3/16π
dr/dt = 3/50.24
dr/dt = 0.0597in/s
Hence the balloon is increasing at the rate of 0.0597in/s
Solution:
Let x represent a number of calling minutes. According to the problem, we want:

now, putting the similar terms together, we obtain:

this is equivalent to:

now, solving for x, we get:

then, the correct answer for the first question is:
400 minutes is the number of minutes the two plans cost the same
now, for the second question, we can replace the above value (400 minutes) into the following equation:

so that, the correct answer for the second question is:
$55 is the cost when the two plans cost the same
Answer:
Each ticket was 3 dollars
Step-by-step explanation:
Since there were 10 friends, let x represent the amount that each ticket cost
10x - 2 = 28
10(3) - 2 = 28
30 - 2 = 28
Answer:
There are 100,000 cm in 1 km
Step-by-step explanation: