Answer: 4( c + 1.5) = 21
Step-by-step explanation:
4( c + 1.5) = 21
Distance = speed * time
d = st
The sports car travels d distance for t time at speed, s, 95 mph until it overtakes the family
car.
The equation for the sports car is
d = 95t
The family car travels the same distance, d, but since it left 4.5 hours earlier than the sports car, it travels for t + 4.5 time until it is overtaken. It travels at speed, 35 mph.
The equation for the family car is
d = 35(t + 4.5)
We solve the two equations as a system of equations.
d = 95t
d = 35(t + 4.5)
Since d = d, set the right sides of the equations above equal to each other.
95t = 35(t + 4.5)
95t = 35t + 157.5
60t = 157.5
t = 2.625
The answer is 2.625 hours, or 2 hours, 37 minutes, and 30 seconds.
Check:
In 2.625 hours, the sports car travels: 95 mph * 2.625 h = 249.375 miles
The family car traveled 2.625 hours plus the extra 4.5 hours, or 7.125 hours.
In 7.125 hours, the family car travels 35 mph * 7.125 h = 249.375 miles.
The cars have traveled the same distance 2.625 hours after the sports car left, so our answer is correct.
Answer: No. It's not proportional
Step-by-step explanation:
The direct proportion in mathematics is expressed as:
y = kx
where
y = $200
k = constant
x = $7.50
We then solve for k
y = kx
200 = 7.50k
k = 200/7.50
k = 26.67
Since k isn't a whole number, then the amount of money in her bank account proportional to the number of pumpkin she sells.
Answer:
3, -9, 27,-81,243,-729,2187,-6561,19683,-59049,177147,-531441
the sum is −398,580
Answer:60
Step-by-step explanation:
5x4x3=60