Answer:
125 more students arrive buy school bus than by car
Step-by-step explanation:
20% + 25% + 15% = 60%
Bus
100 - 60 = 40% ( bus = 40%)
40% = 0.4
0.4 × 500 = 200 (200 students get to school by the school bus)
Car
15% = 0.15
0.15 × 500 =
car = 75 (75 students get to school by car)
difference
200 - 75 = 125 students (125 more students get to school on the school bus then by a car)
Answer:
The system will be inconsistent.
Step-by-step explanation:
We are given that a system of linear equations has a 3×5 augmented matrix whose fifth column is a pivot column.
Then such a system is not consistent because since the augmented matrix has a pivot in fifth column it means that the new column added to the matrix A will lead to increase in the rank as that of matrix A.
Hence the rank of A and Augment A will not remain same and hence the system will be inconsistent.
Answer:
Step-by-step explanation:
the first one
the second one
the third one
the last one
Answer:
89 km/hr
Step-by-step explanation:
Distance = Rate(speed) × Time
D = R × T
T = 4 hours
One car's rate is 12 kilometers per hour less than the other's.
Hence:
First's car's rate = r × 4 = 4r
Second car's distance = (r + 12) × 4 = 4r + 48
4r + 4r + 48 = 760
8r + 48 = 760
8r = 760 - 48
8r = 712
r = 712/8
r = 89 km/hr
The rate of the slower car is 89 km/hr
Answer:
$35.10
Step-by-step explanation:
