Answer:
20 seconds
Step-by-step explanation:
speed = distance/time
distance = speed * time
The faster racer will catch up to the slower racer in x meters ahead of the slower racer.
The faster racer is 40 meters behind the slower racer, so he travels x + 40 until he catches up.
Slower racer:
speed = 12 m/s
distance = x
time = t
Faster racer:
speed = 14 m/s
distance = x + 40
time = t (the same time as the slower racer)
Slower racer:
distance = speed * time
x = 12t
Faster racer:
x + 40 = 14t
System of equations:
x = 12t
x + 40 = 14t
Since the fist equation is already solved for x, substitute 12t for x in the second equation and solve for t.
12t + 40 = 14t
40 = 2t
20 = t
t = 20
The faster racer catches up in 20 seconds.
Answer:
number 5 is 78 and number 6 is 6
Step-by-step explanation:
Answer:
2950
Step-by-step explanation:
10(250+45)
10(295)
2950
$25 is the total amount of money.
Admission is a constant, meaning that price will not vary and is fixed.
The rides each cost something so the price of rides will vary, unlike the constant (admission).
Thus making x the number of rides, we have the equation:
25 = 4 + 1.5x.
We need to solve for x, but x must be a whole number so we will round down if the solution is not an integer.
1.5x = 21
Divide by 1.5 on both sides.
x=14
Daniel can go on 14 rides maximum.
Since a^2 - b^2 = 1, the value of y = 1 because x=1 and 1^2 - 1^2 = 0
