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professor190 [17]
3 years ago
7

Match with the sum of the monomial and binomial

Mathematics
1 answer:
Margarita [4]3 years ago
5 0

Answer:

The answer to your question is below

Step-by-step explanation:

Just cancel the parentheses and simplify

                   Result                            Addition

                5xy² + 2x²y     ⇒                (5xy² - x²y) + 3x²y = 5xy² + 2x²y        

               -3x²y - 2xy²      ⇒                 x²y + (-2xy² - 4x²y) = -3x²y - 2xy²

                3x²y - 2xy²      ⇒               2x²y + (x²y - 2xy²) = 3x²y - 2xy²

                5x²y + xy²        ⇒                4x²y + (x²y + xy²) = 5x²y + xy²

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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
Firdavs [7]

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

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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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