Answer:

Step-by-step explanation:
Let the distance be
and the time be
.
It was given that the distance,
, varies directly as the square of the time
, we write the proportional relation,
.
, where
is the constant of variation.
It was also given that,
, when
.




Now the equation of variation becomes;

When,
, 


The object will travel 301865 feet in 55 seconds.
Answer:
x = 50
Step-by-step explanation:
101 + (x + 29) = 180
130 + x = 180
x = 180 - 130
x = 50
Answer:
The speed of the jet is 410 mph.
Step-by-step explanation:
The jet and the passenger plane flew in opposite directions.
Given that the passenger plane flew at a speed of 450 mph, then after 11 hours, the passenger plane will fly (450 × 11) = 4950 miles.
Again, given that after 11 hours the passenger plane and the jet are 9460 miles apart.
Therefore, in 11 hours the jet flew (9460 - 4950) = 4510 miles.
Hence, the speed of the jet is
mph. (Answer)
Let the sister be x years old.
Then Jessica is x + 5 years old.
Their ages add to 47.
x + x + 5 = 47
2x + 5 = 47
2x = 42
x = 21
x + 5 = 26
Jessica is 26, and her sister is 21.
Answer:
150 minutes or 2 hours and 30 minutes
Step-by-step explanation:
One-fourth of 2 hours is 30 minutes. Multiply that number by 5 and you get 150 minutes or 2 hours and 30 minutes.