Answer:
The number of enrollments increased by 5%.
Step-by-step explanation:
Given that:
Number of students at the beginning of the year = 480
Number of students at the end of the year = 504
Change = 504 - 480 = 24
This indicates increase.
Percent of change = 
Percent of change = 
Percent of change = 5%
Hence,
The number of enrollments increased by 5%.
Let:
Vj = Speed of jane
Vm = Speed of mike
d = distance
t = time
Jane travels 7 mph less than 2 times as fast as Mike, therefore:
Vj = 2Vm - 7
Remeber:
distance = speed*time
Distance traveled by mike:
d=Vm*t = Vm*6
Distance traveled by jane:
d + 198 = Vj*6
where:
Vj = 2Vm - 7
d + 198 = (2Vm-7)*6
Now, let:
d=Vm*6 (1)
d + 198 = (2Vm-7)*6 (2)
Replace (1) into (2)
6Vm + 198 = 12Vm - 42
Subtract 6Vm from both sides:
6Vm + 198 - 6Vm = 12Vm - 42 - 6Vm
198 = 6Vm - 42
Add 42 to both sides:
198 + 42 = 6Vm - 42 + 42
240 = 6Vm
Divide both sides by 6:
240/6 = 6Vm/6
40 = Vm
Vm = 40mph
Replace Vm into this equation Vj = 2Vm - 7 :
Vj = 2(40) - 7 = 80 - 7 = 73mph
Answer:
14 percent
Step-by-step explanation:
Question
What is the simplified expression for Negative 3 c d minus d (2 c minus 4) minus 4 d?
a) Negative 5 c d
b) c d minus 8 d
c) 5 c d minus 8 d
d) Negative 5 c d minus 8 d
Answer:
a) Negative 5cd or -5cd
Step-by-step explanation:
The question asks:
What is the simplified expression for Negative 3 c d minus d (2 c minus 4) minus 4 d?
This is expressed mathematically as:
-3cd - d(2c - 4) - 4d
= -3cd -2cd + 4d - 4d
= -5cd + 0
= -5cd
The answer is negative 5cd(in words) or - 5cd