Question

Please help me on #11 my test is tomorrow and I need this extra credit might even mark brainlest

Answer 1

Answer:

1/2 ÷ 3/10 = 1/2 × 10/3

1/2 miles per 3 and 1/3 hours

Step-by-step explanation:

Dividing by a fraction is the same as multiplying by the inverse of that fraction.

In other words: a ÷ (b/c) = a × (c/b)

So for the first part of problem 11,

1/2 ÷ 3/10 = 1/2 × 10/3

This can be simplified and written out for the second part of problem 11 as,

1/2 miles per 3 and 1/3 hours

Answer 2

Answer:  The correct answer:

  " $\frac{10}{3}$ " ; is the value for the first blank space for Problem #11 ;

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And for the final answer:

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 " $1\frac{2}{3}$ miles per hour " .

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Step-by-step explanation:

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$\frac{1}{2}$ ÷ $\frac{3}{10}$  =  $\frac{1}{2}$ * $\frac{10}{3}$  ;

 →  {since "dividing by a number" is the same thing as "multiplying by the reciprocal of that said number."} .

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So:  " $\frac{10}{3}$ " ; is the reciprocal of " $\frac{3}{10}$ " ;

We can put: " $\frac{10}{3}$ " ; in the "first answer box" in "Problem # 11 ".

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Now, we can continue solving the problem:

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We have:

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" $\frac{1}{2}$ * $\frac{10}{3}$ " ;

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Let us Cancel out the "2" ; and change to a "1" ; and

         Cancel out the "10" ; and change to a "5" ;

 →  {since: " [10 ÷ 2 = 5] " ;  and since:  " [2 ÷ 2 = 1] " ;

And we can rewrite the expression as:

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"  $\frac{1}{1} * \frac{5}{3}$ " ;

→ $\frac{1}{1} * \frac{5}{3} = 1 * \frac{5}{3} = \frac{5}{3} = 1\frac{2}{3}$ ;  which is our answer:  in miles per hour.

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The correct answer:

  " $\frac{10}{3}$ " ; is the value for the first blank space for Problem #11 ;

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And for the final answer:

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 " $1\frac{2}{3}$ miles per hour " .

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Hope this is helpful to you!

 Wishing you the best!

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