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MsRay

Answer:

Mayra is running at a speed of 6.5 miles per hour.

Step-by-step explanation:

There are a few ways to solve this problem using different operations.  First, you need to convert 3 and a quarter into a decimal.  Since we know that a quarter is represented by 1/4, or 0.25, then we can combine this with Mayra's other 3 miles to get 3.25 miles.  Also, one half is the equivalent of 1/2 or 0.5 of an hour.  Since we know that 1/2 + 1/2 equals a whole, then if we take the distance that Mayra traveled in 0.5 of an hour and multiply it by 2, we would get her distance for the full hour:  3.25 x 2= 6.50.  We can also solve be taking her original distance of 3.25 and dividing by the total time of 0.5:  3.25/0.5 = 6.50.  Either operation will give us the same answer.  

Lanuel

Mayra's speed in miles per hour is equal to 6.5 miles per hour.

Given the following data:

  • Distance = [tex]3\frac{1}{4} = \frac{13}{4} \;miles[/tex]
  • Time = [tex]\frac{1}{2} \;hour[/tex]

To calculate Mayra's speed in miles per hour:

What is speed?

Speed can be defined as the distance covered (traveled) by a physical object per unit of time.

  • Thus, speed can be measured as miles per hour.

Mathematically, speed is given by this formula;

[tex]Speed = \frac{distance}{time}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Speed = \frac{\frac{13}{4} }{\frac{1}{2} } \\ \\ Speed =\frac{13}{4} \times 2\\ \\ Speed =\frac{13}{2}[/tex]

Speed = 6.5 miles per hour.

Read more on speed here: https://brainly.com/question/10545161