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Pavel [41]
3 years ago
12

Genise is making cookies. She needs 1 1/2 cups of flour for one batch, but she wants to make 2 1/2 batches. Write an equation th

at can be used to find how many cups of flour genise will need.
​
Mathematics
1 answer:
nikklg [1K]3 years ago
5 0
"She needs 1.5 cups of flour for 1 batch, but she wants to make 2.5 batches."

This means that she needs 7.5 cups of flour for 5 batches.

Hence, she needs 3.75 cups of flour for 2.5 batches.
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\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad  \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=2\\ a_1=\frac{1}{2}\\ n=8 \end{cases} \\\\\\ S_8=\cfrac{1}{2}\left( \cfrac{1-2^8}{1-2} \right)\implies S_8=\cfrac{1}{2}\left( \cfrac{-255}{-1} \right)\implies S_8=\cfrac{255}{2}

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