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lolamegananne
17.11.2020 •
Mathematics
Daniela has a container full of marbles. She gives away some of her marbles every day for five days. Each day, she has 1/4 the number of marbles she had a previous day. What fraction of the original number of marbles does Daniela have left after five days?
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Ответ:
Given:
Daniela gives away some of her marbles every day for five days.
Each day, she has
the number of marbles she had a previous day.
To find:
The fraction of the original number of marbles Daniela have left after five days.
Solution:
Let the origin number of marble be x.
Number of marbles after one day =![\dfrac{1}{4}x](/tpl/images/0904/4727/ba334.png)
Number of marbles after two days =![\dfrac{1}{4}(\dfrac{1}{4}x)](/tpl/images/0904/4727/9a6c6.png)
=![(\dfrac{1}{4})^2x](/tpl/images/0904/4727/51e8e.png)
Similarly,
Number of marbles after three days =![(\dfrac{1}{4})^3x](/tpl/images/0904/4727/70309.png)
Number of marbles after four days =![(\dfrac{1}{4})^4x](/tpl/images/0904/4727/9f659.png)
Number of marbles after five days =![(\dfrac{1}{4})^5x](/tpl/images/0904/4727/91a32.png)
=![\dfrac{1}{1024}x](/tpl/images/0904/4727/afc03.png)
Since,
is multiplied with x, therefore, the number of marbles Daniela have left after five days is
part of original number of marbles.
Ответ:
Step-by-step explanation: