A bicyclist is traveling at 6.7 meters per second. Which of the mathematical operation would correctly determine the speed in miles per hour? A . 6 .7 m s × 1000 km 1 m × 0.621 mi 1 km × 60 s 1 min × 60 min 1 hr B . 6 .7 m s × 1 km 1000 m × 1 km 0.621 mi × 60 s 1 min × 60 min 1 hr C . 6 .7 m s × 1 km 1000 m × 0.621 mi 1 km × 60 s 1 min × 60 min 1 hr D . 6.7 m s × 1 km 1000 m × 0.621 mi 1 km × 1 min 60 s × 1 hr 60 min E . 6 .7m s × 1000 m 1 km × 0 .621 mi 1 km × 1 min 60 s × 1 hr 60 min Explain what is wrong with the incorrect responses.
A bicyclist is traveling at 6.7 meters per second. Which of the mathematical operation would correctly determine the speed in miles per hour? A . 6 .7 m s × 1000 km 1 m × 0.621 mi 1 km × 60 s 1 min × 60 min 1 hr B . 6 .7 m s × 1 km 1000 m × 1 km 0.621 mi × 60 s 1 min × 60 min 1 hr C . 6 .7 m s × 1 km 1000 m × 0.621 mi 1 km × 60 s 1 min × 60 min 1 hr D . 6.7 m s × 1 km 1000 m × 0.621 mi 1 km × 1 min 60 s × 1 hr 60 min E . 6 .7m s × 1000 m 1 km × 0 .621 mi 1 km × 1 min 60 s × 1 hr 60 min Explain what is wrong with the incorrect responses.
A bicyclist is traveling at 6.7 meters per second. Which of the mathematical operation would correctly determine the speed in miles per hour?
A
.
6
.7
m
s
×
1000
km
1
m
×
0.621
mi
1
km
×
60
s
1
min
×
60
min
1
hr
B
.
6
.7
m
s
×
1
km
1000
m
×
1
km
0.621
mi
×
60
s
1
min
×
60
min
1
hr
C
.
6
.7
m
s
×
1
km
1000
m
×
0.621
mi
1
km
×
60
s
1
min
×
60
min
1
hr
D
.
6.7
m
s
×
1
km
1000
m
×
0.621
mi
1
km
×
1
min
60
s
×
1
hr
60
min
E
.
6
.7m
s
×
1000
m
1
km
×
0
.621
mi
1
km
×
1
min
60
s
×
1
hr
60
min
Explain what is wrong with the incorrect responses.
(A)
Expert Solution
Interpretation Introduction
Interpretation:
Whether the given mathematical operation gives the value of speed in miles per hour is correct or not is to be determined.
Explanation of Solution
The distance traveled by an object per unit time is known as speed. The SI unit of speed is meter per second m/s . It can also be measured in centimeters per second cm/s , kilometer per hour km/h , and miles per hour mi/h .
The conversion factor from m to km is expressed as follows:
1 m=0.001 km1=1 km1000 m
The conversion factor from m/s to mi/h is expressed as follows:
1 m/s=2.236 mi/hr1=2.236 mi/hr1 m/s
In the given mathematical operation 6.7 ms×1000 km1 m×0.621mi1 km×60 s1 min×60 min1 hr , the conversion factor for meters to kilometers is incorrect. It should be 1 km1000 m . Therefore, the mathematical operation 6.7 ms×1 km1000 m×0.621mi1 km×60 s1 min×60 min1 hr gives the correct values of speed in mi/h .
(B)
Expert Solution
Interpretation Introduction
Interpretation:
Whether the given mathematical operation gives the value of speed in miles per hour is correct or not is to be determined.
Explanation of Solution
The conversion factor from km to miles is expressed as follows:
1 km=0.621 miles1=0.621 miles1 km
In the given mathematical operation 6.7 ms×1000 km1 m×1 km0.621 mi×60 s1 min×60 min1 hr , the conversion factor for kilometers to miles is incorrect. It should be 0.621miles1 km . Therefore, the correct mathematical operation 6.7 ms×1 km1000 m×0.621mi1 km×60 s1 min×60 min1 hr gives the values of speed in mi/h .
(C)
Expert Solution
Interpretation Introduction
Interpretation:
Whether the given mathematical operation gives the value of speed in miles per hour is correct or not is to be determined.
Explanation of Solution
The given mathematical operation 6.7 ms×1 km1000 m×0.621 mi1 km×60 s1 min×60 min1 hr is appropriate to find the speed in miles per hour.
(D)
Expert Solution
Interpretation Introduction
Interpretation:
Whether the given mathematical operation gives the value of speed in miles per hour is correct or not is to be determined.
Explanation of Solution
The conversion factor from minute to second is expressed as follows:
1 min=60 s1=60 s1 min
The conversion factor from hr to min is expressed as follows:
1 hr=60 min1=60 min1 hr
In the given mathematical operation 6.7 ms×1 km1000 m×0.621 mi1 km×1 min60 s×1 hr60min , the conversion factors in the fourth and fifth steps are incorrect. It should be 60 s1 min and 60 min1 hr , respectively.
Therefore, the correct mathematical operation 6.7 ms×1 km1000 m×0.621mi1 km×60 s1 min×60 min1 hr gives the values of speed in mi/h .
(E)
Expert Solution
Interpretation Introduction
Interpretation:
Whether the given mathematical operation gives the value of speed in miles per hour is correct or not is to be determined.
Explanation of Solution
The conversion factor from hr to min is expressed as follows:
1 hr=60 min1=60 min1 hr
The conversion factor from m to km is expressed as follows:
1 m=0.001 km1=1 km1000 m
The conversion factor from minute to second is expressed as follows:
1 min=60 s1=60 s1 min
In the given mathematical operation 6.7 ms×1000 m1 km×0.621 mi1 km×1 min60 s×1 hr60min , the conversion factors in the second and last two steps are incorrect. It should be 1 km1000 m , 60 s1 min , and 60 min1 hr , respectively.
Therefore, the correct mathematical operation 6.7 ms×1 km1000 m×0.621mi1 km×60 s1 min×60 min1 hr gives the values of speed in mi/h .
Want to see more full solutions like this?
Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
The average distance between the Earth and the Moon is 240,000 miles. Express this distance in kilometers.( 1 mile = 1.6 km)
3.84 x 106 km
3.84 x 104 km
3.84 x 103 km
3.84 x 102 km
O 3.84 x 10° km
The average person's step covers 2.5 feet. Some health experts recommend getting 10,000 steps a day. If you have an average stride (step length), how many miles would you walk if you walked 10,000 steps a day? (5280 ft = 1 mi).
1.3 x 10^8 miles
1.3 miles
4.7 miles
5.0 miles
1.
Suppose some measurements are made on two different homogeneous stones to
find out if they are made of the same kind of rock. The mass and volume measurements
are listed below. Are the two stones the same type of rock? Why or why not? Show all
calculations.
Mass
Volume
58.0 grams
50.1 grams
20.0 cm3
15.0 cm3
Stone 1
Stone 2
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell