Let's assume that Kirby walks with a speed

for a time

, and that he runs with a speed

for a time

.
The total time available for Kirby to catch the train is:

and this must be equal to the sum of the two times t1 and t2:
The distance Kirby should cover is

and this should be equal to the sum of the distances covered by walking and by running:

So we have a system of 2 equations:


If we solve the system, we find:


So, Kirby needs to run at least for 8 minutes in order to catch the train.
Answer:
m= 4.8 months
Step-by-step explanation:
by taking x as the money the International Business Club has at any time of the year,250.5 for their initial money, 35 as the money they spend every month and m being the month that have passed since the beginning of the school year; it all can be related to the following equation:
x= 250.5 - (35*m)
And doing the same thing with the money from the Future Agricultural Leaders Club, associating their money to the variable y, the equation would be:
y=300 - (45.25*m)
as it is wanted to know at what month does both clubs have the same amount of money, x and y, must be the same, so:
250.5 - (35*m) =300 - (45.25*m)
this equation can be solved by putting both terms that are related to m on the same side of the equality, and those who aren’t related on the other side:
(45.25*m) - (35*m)= 300 -250.5
then, on the first side of the equation, m can be taken out as common factor:
(45.35-35)*m=49,5
and solving for m:
m=
m=4.8
2x + x + 4 = -17 Given
(2x + x) + 4 = -17 Combine like terms
3x + 4 = -17
3x +4 - 4 = -17 - 4 Subtraction property of equality
3x = -21
3x/3 = -21/3 Division property of equality
x = -7
Answer:
1728 ft³
Step-by-step explanation:
Lower part:
volume = 19 ft × 12 ft × 6 ft = 1368 ft³
Upper part:
volume = 10 ft × 12 ft × 3 ft = 360 ft³
Total Volume = 1728 ft³
Answer:
555
Step-by-step explanation:
(357+452+589+602+775)/5