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Aliun [14]
3 years ago
13

On Friday, Carlotta had 6/8 of her paper left to write. She wrote 2/6 of the paper on Saturday and ¼ of the paper on Sunday. At

the end of the weekend, what fraction of her paper does Carlotta have left to write?
Mathematics
1 answer:
alukav5142 [94]3 years ago
5 0

Answer:

\frac{1}{6}

Step-by-step explanation:

<u>Skills needed: Fraction Subtraction, Least Common Denominator (LCD)</u>

1) \frac{6}{8} - \frac{2}{6} - \frac{1}{4} is the operation you would do.

--> You would do this because, Carlotta has \frac{6}{8} of the paper left, and does one fraction amount (\frac{2}{6}) on Saturday & does another fraction amount (\frac{1}{4}) on Sunday.

-->  Using subtraction is the best way

2) Now, we need to figure out the Least Common Denominator for all 3 fractions.

8,6,4 are the denominators.

The lowest number that is a factor of all them is 24.

So, it would then become \frac{18}{24} - \frac{8}{24} - \frac{6}{24}

This would become: \frac{18-8-6}{24} (18-8-6 = 4)

So then: \frac{4}{24} is your answer.

This simplifies into \frac{1}{6}.

Hope this helps and have a nice day!! :) :]

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During the period from 1790 to 1930, the US population P(t) (t in years) grew from 3.9 million to 123.2 million. Throughout this
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Answer:

Step-by-step explanation:

Given that during  the period from 1790 to 1930, the US population P(t) (t in years) grew from 3.9 million to 123.2 million. Throughout this period, P(t) remained close to the solution of the initial value problem.

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a) 1930 population is the population at time t = 40 years taking base year as 40

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\frac{dP}{0.03135P – 0.0001489P^2 } =dt\\\frac{dP}{-P(0.03135 – 0.0001489P } =dt

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Visual likewise graph given below.

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