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klemol [59]
3 years ago
15

Marco drove 75 miles in 1 2/3 hours. how many miles ca he drive in 1 hour?

Mathematics
1 answer:
GenaCL600 [577]3 years ago
4 0

Answer:

  • <u>45 miles</u>

Explanation:

The distance driven is directly proportional to the time:

  • distance / time = K

Which can also be written as:

  • distance₁ / time₁ = distance₂ / time₂

Here you have:

  • distance₁ =75 miles
  • time₁ = 1 + 2/3  hours = (3 + 2) / 3 hours = 5/3 hours
  • distance₂ = x
  • time₂ = 1 hour

With that you can set up a proportion:

  • 75 miles / (5/3) hour = x₂ / 1 hour

Solving for x₂ you get:

  • x₂ = [75 miles] × 1 hour / (5/3 hour) = 3 × 75 / 5 miles = 45 miles
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A. Find a power function that models the data below.
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Using Visual inspection, the model which fits the data in the distribution better is the power function.

The power and linear functions can of the data can both be modeled using technology,

<u>Using Technology</u> :

The power function in the form y = Ax^{B} which models the data is 1.926x^{1.662}

The linear function in the form y = Bx + A which models the data is y = 7.429x - 8.333

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  • From the model, correlation coefficient given by the power and linear models are 0.999 and 0.986 respectively.

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6 0
3 years ago
Janna jumped 156in in the long jump competition at the high school track meet . How many feet did Janna jump
Triss [41]
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5 0
4 years ago
Please help and thank you
masya89 [10]

Answer:

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3 0
3 years ago
Read 2 more answers
Today joelle walked at a rate of 3 miles per hour and she ran 15 minutes at a rate of 6 miles per hour.How many total miles did
svetoff [14.1K]
I added a screenshot with the complete question

<u><em>Answer:</em></u>
Total miles = 2.5 miles

<u><em>Explanation:</em></u>
<u>1- While walking:</u>
We are given that Joelle walked 20 minutes at a rate of 3 miles per hour.
This means that she walked \frac{20}{60} =  \frac{1}{3} of an hour at a rate of 3 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time
<u>Substitute with the givens to get the distance she covered while walking:</u>
Distance = 3 * \frac{1}{3} = 1 mile

<u>2- While running:</u>
We are given that Joelle ran 15 minutes at a rate of 6 miles per hour
This means that she ran \frac{15}{60} =  \frac{1}{4} of an hour at a rate of 6 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time
<u>Substitute with the givens to get the distance she covered while running:</u>
Distance = 6 * \frac{1}{4} = 1.5 miles

<u>3- getting the total mileage:</u>
Total distance she covered = distance while walking + distance while running
Total distance she covered = 1 + 1.5
Total distance she covered = 2.5 miles

Hope this helps :)

4 0
3 years ago
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