Option A: 
Option C: 
Option F: 
Solution:
Given expression is
.
Option A: 



Hence
is equivalent expression of
.
Option B: 



Hence
is not equivalent expression of
.
Option C: 


(proved in option A)
Hence
is equivalent expression of
.
Option D: 


Hence
is not equivalent expression of
.
Option E: 75
75 is a whole number.
Hence 75 is not equivalent expression of
.
Option F: 


(proved in option A)
Hence
is equivalent expression of
.
Therefore,
are all equivalent expressions of
.
3 laps in 2.5 minutes
1 lap = 2.5/3 minute
20 laps = (2.5/3)*20 = 16.67
20 laps ≈ 16.67 minutes
Answer:
t = (C - 3*A)/B + 3
Step-by-step explanation:
Given in the question that,
the speed with which canoe travelled for first 3 hours = A
the speed with which he travelled for any and all time thereafter = B
As we do not know the values of A, B, or C, so the answer will be an expression for C in terms of A and B.
<h3>Formula to use</h3>
distance = speed x time
C = A*3 + B*(t-3)
Rearranging and solving for t
C - (A*3) = B*(t-3)
C - (A*3) = Bt - B3
C - (A*3) + B3 = Bt
t = C - (A*3) + B3 / B
or
t = (C - 3*A)/B + 3
The scatter plot has been attached
Answer:
Options C, D & E are true
Step-by-step explanation:
Option A is wrong because from the scatter plot, only four athletes were faster in the second race than in the first one.
Option B is wrong because only 1 athlete had his second race time differing from the first race time by exactly 2 seconds.
Option C is true because exactly 9 of the times for the first race were at least 16 seconds
Option D is true because there are exactly 3 athletes who had the same time in both races
Option E is true because 8 of the times for the second race were less than 17 seconds