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Phoenix [80]
3 years ago
14

A two-person relay race consists of eight times around a football field. Juan runs four and one-sixth times and Antonio runs thr

ee and two-thirds times around the field. What are the distances they ran as improper fractions? A. Juan: 25⁄6 ; Antonio: 11⁄3 B. Juan: 32⁄3 ; Antonio: 41⁄6 C. Juan: 41⁄6 ; Antonio: 32⁄3 D. Juan: 11⁄3 ; Antonio: 25⁄6
Mathematics
1 answer:
Serga [27]3 years ago
5 0

Answer:

A


Step-by-step explanation:


To convert mixed number as improper fractions, use this rule:

A\frac{B}C}=\frac{(A*C)+B}{C}


<u>For Juan:</u>  (4\frac{1}{6})

4\frac{1}{6}=\frac{(4*6)+1}{6}=\frac{25}{6}


<u>For Antonio:</u>  (3\frac{2}{3})

3\frac{2}{3}=\frac{(3*3)+2}{3}=\frac{11}{3}


Answer choice A is correct.


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Answer & Step-by-step explanation:

For this problem, we will use the distance formula.

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For our (x1, y1), we will use (-3, 1). For our (x2, y2), we will use (1, 5). Now let's plug in our numbers and solve the problem.

d=\sqrt{(1-(-3))^2+(5-1)^2}

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So, the distance between (-3,1) and (1,5) is 5.657 units.

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Answer:

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Step-by-step explanation:

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