Mathematics

Question

90 PTS HELP
Maria has already written 2/5 of her 1,000 word essay. If she continues writing at the same pace of 6 words per minute, which expression shows the amount of time it will take her to write the rest of the essay?

1 Answer

  • Answer:

    [tex]\frac{(\frac{3}{5}*1000) }{6}[/tex]

    Step-by-step explanation:

    First, let's find out how many words Maria has left to write. If she has already finished 2/5 of her essay, she has 3/5ths left to write. We can do 3/5 times 1000 to find out how many words are left.

    [tex]\frac{3 }{5} * \frac{1000}{1}[/tex]

    [tex]\frac{3000}{5}[/tex]

    [tex]600[/tex]

    Thus, there are 600 words left to write.

    Now to find the amount of time, we can find how take to write 600 words at a pace of 6 words per minute by dividing 600 by 6.

    [tex]\frac{600}{6}[/tex]

    [tex]100[/tex]

    It will take 100 minutes for Maria to write the rest of her essay. Now let's think about an expression that tells us this information. It sounds like your questions is supposed to have options, but I doesn't seem like you've posted them, no worries however.

    So first, the amount she has left to write.

    [tex](\frac{3}{5} * 1000)[/tex]

    We know this is 600, but we don't have to simplify it for the expression.

    Now thinking back to how we found the time, we can divide this '600' by 6.

    [tex]\frac{(\frac{3}{5}*1000) }{6}[/tex]

    This is the expression that shows the amount of time it will take to write the rest of the essay.

    [tex]\frac{((1-(\frac{2}{5})*1000) }{6}[/tex] is also a valid solution.