Question
Alex performed the following dimensional analysis to convert a rate of 68 mph.
68 miles/1 hour ⋅ 5280 feet/1 mile ⋅ 1 hour/60 minutes ⋅ 1 minute/60 seconds=99.7
What are the units for Ali's final answer?
Responses
feet/second
miles/second
feet/hour
minutes/second
68 miles/1 hour ⋅ 5280 feet/1 mile ⋅ 1 hour/60 minutes ⋅ 1 minute/60 seconds=99.7
What are the units for Ali's final answer?
Responses
feet/second
miles/second
feet/hour
minutes/second
Answers
GPT 3.5
The units for Alex's final answer are feet/second.
why
GPT 3.5
The units for Alex's final answer are feet/second because in each step of the dimensional analysis, the units are cancelled out except for the units of feet and seconds. Therefore, the final answer will have units of feet/second.
What operation would be appropriate to convert 3.25 feet into inches
Responses
Multiply by 1 foot/12 inches
Add 12 to 3.25
Multiply by 12 inches/1 foot
Divide by 12 inches/1 foot
Responses
Multiply by 1 foot/12 inches
Add 12 to 3.25
Multiply by 12 inches/1 foot
Divide by 12 inches/1 foot
GPT 3.5
The appropriate operation to convert 3.25 feet into inches is to multiply by 12 inches/1 foot.
y/7+8=22
Responses
y=7
y=98
y=30
y=2
Responses
y=7
y=98
y=30
y=2
GPT 3.5
To solve the equation y/7 + 8 = 22, you can subtract 8 from both sides and then multiply by 7.
So, the correct response is y = 98.
So, the correct response is y = 98.
18/x−3=2
Which of the following equations has the same solution as the equation above?
2x−6=18
x−4=14
2x−3=18
x−3/18=2
Which of the following equations has the same solution as the equation above?
2x−6=18
x−4=14
2x−3=18
x−3/18=2
GPT 3.5
To solve the equation 18/x - 3 = 2, you can add 3 to both sides and then multiply by x/2.
So, the correct equation that has the same solution is 2x - 6 = 18.
So, the correct equation that has the same solution is 2x - 6 = 18.
why not c
GPT 3.5
Apologies for the confusion. Let's check if the equation 2x-3=18 has the same solution as the given equation.
First, let's solve the given equation:
18/x - 3 = 2
Add 3 to both sides:
18/x = 5
Multiply both sides by x:
18 = 5x
Divide both sides by 5:
x = 18/5
The solution to the given equation is x = 18/5.
Now let's check if the equation 2x - 3 = 18 has the same solution:
Substitute x = 18/5 into the equation:
2(18/5) - 3 = 18
36/5 - 3 = 18
Multiply 3 by 5/5 to have a common denominator:
36/5 - 15/5 = 18
(36-15)/5 = 18
21/5 ≠ 18
Therefore, the equation 2x - 3 = 18 does not have the same solution as the given equation.
First, let's solve the given equation:
18/x - 3 = 2
Add 3 to both sides:
18/x = 5
Multiply both sides by x:
18 = 5x
Divide both sides by 5:
x = 18/5
The solution to the given equation is x = 18/5.
Now let's check if the equation 2x - 3 = 18 has the same solution:
Substitute x = 18/5 into the equation:
2(18/5) - 3 = 18
36/5 - 3 = 18
Multiply 3 by 5/5 to have a common denominator:
36/5 - 15/5 = 18
(36-15)/5 = 18
21/5 ≠ 18
Therefore, the equation 2x - 3 = 18 does not have the same solution as the given equation.