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FromTheMoon [43]
3 years ago
13

The running back for the Bulldogs football team carried the ball 5 times for a total loss of 11 1/4 yards. Find the average chan

ge in field position on each run. Enter the average change as a simplified mixed number.
Mathematics
1 answer:
Firdavs [7]3 years ago
6 0

Answer:

\displaystyle 2\ \frac{1}{4}

Step-by-step explanation:

<u>Fractions</u>

They can be expressed as proper fractions, improper fractions or mixed numbers. Proper fractions are such that the numerator is less than the denominator, like 2/5, 7/11, -9/10. Improper fractions are those whose numerators are greater than the denominator, such as 5/3, 10/9, -21/8.  

Mixed numbers are expressions made of whole numbers and a proper fraction, like 4 3/5, 1 1/2, -5 4/9. Mixed numbers can be transformed to improper fractions and vice-versa.

The question requires us to find the average change in field position on each run of the running back for the Bulldogs football team which carried the ball 5 times for a total loss of 11 1/4 yards.

The number 11 1/4 is mixed, to express it as an improper fraction, we add the numbers like

\displaystyle 11+\frac{1}{4}=\frac{45}{4}

This improper fraction will now be divided by 5 to find the average of 5 runs:

\displaystyle \frac{\frac{45}{4}}{5}=\frac{9}{4}

We now need to separate the improper fraction to a mixed number, let's just divide 9 by 4 to get 2 as the quotient and 1 for the remainder, thus

\boxed{\displaystyle \frac{9}{4}=2\ \frac{1}{4}}

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Any function of the form f (x) = m x + b, where m is not equal to 0 is called a linear function

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<em><u>The slope intercept form is given as:</u></em>

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