Hello there can someone plz check these for me I had a little bit of trouble with them.
1. In the calculations shown, what will the units of the final answer be?
18meters/second×3600 seconds/1 hour ×1 mile/1609 meters
A.miles/hour******
B.meters/second
C.miles/second
D.meters/hour
2.Which of the following is the correct conversion rate to change feet per second to yards per second?
A.1 ft/3 yard
B.1 yard/3 ft
C.3 yard/1 ft
D.3 ft/1 yard*****
3. Which of the following is the correct conversion rate to multiply by in order to convert from meters per second to centimeters per second?
A.100 cm/1 s
B.100 m/1 cm
C.100 cm/1 m*****
D.100 s/1 m
I had 2 guesses for each question because I wasn't sure but thank you so much!
#2 and #3 are similar problems
take another look at #2
my other guess for number 2 and 3 were 2. a and 3. b
Sure, I can help you check these answers and explain how to arrive at them. Let's go through each question step by step.
1. In the given calculations, we are multiplying three values together: 18 meters/second, 3600 seconds/1 hour, and 1 mile/1609 meters. To determine the units of the final answer, we need to cancel out any common units. In this case, the common units are "meters" and "seconds".
Here is the calculation with the units written out:
(18 meters/second) × (3600 seconds/1 hour) × (1 mile/1609 meters)
We can cancel out the meters in the numerator and denominator:
(18 × 3600 seconds/hour) × (1 mile/1609)
Next, we simplify the units:
(18 × 3600) seconds × mile/(hour × 1609)
The final answer will have the units of miles per hour, which is option A.
Answer: A. miles/hour
2. To convert feet per second to yards per second, we need to find the correct conversion rate. The conversion rate between feet and yards is 3 feet/1 yard.
To convert feet per second to yards per second, we need to multiply by the conversion rate:
(feet/second) × (3 ft/1 yard)
The feet unit cancels out, leaving us with yards per second.
Answer: D. 3 ft/1 yard
3. To convert from meters per second to centimeters per second, we need to find the correct conversion rate. Since there are 100 centimeters in 1 meter, the conversion rate is 100 cm/1 m.
To convert meters per second to centimeters per second, we need to multiply by the conversion rate:
(meters/second) × (100 cm/1 m)
The meters unit cancels out, leaving us with centimeters per second.
Answer: C. 100 cm/1 m
So, the correct answers are:
1. A. miles/hour
2. D. 3 ft/1 yard
3. C. 100 cm/1 m
I hope this helps! Let me know if you have any other questions.