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Sophie [7]
3 years ago
10

A person is supposed to drink half a gallon of water every day.abby drank 15 small cups today if the capacity of the cup is 3.5

oz how much more water does need to drink today
Mathematics
1 answer:
Yuki888 [10]3 years ago
6 0

He needs to drink 3 cups MORE to meet his daily requirement.

Step-by-step explanation:

Here, as given in the question:

The total need for water = half a gallon = 0.5 gallon

1 gallon  = 128 oz

So, 0.5 gallon = 128/2  = 64 oz

Now, the capacity of 1 cup = 3.5 oz

The number of cups already drank by the person = 15 cups

So, the total amount of water already taken by him

= 15 cups x Capacity of 1 cup

= 15 x (3.5 oz)  = 52.5 oz

So, the amount of water left to be drink by him

= Total Need - Already covered

= 64 oz - 52 . 5 oz  =  11.5 oz

Now, as 1 cup = 3.5 oz

So, 11.5 oz  has ( \frac{11.5}{3.5} )cups  = 3.28 cup≈ 3 cups

Hence, he needs to drink 3 cups MORE to meet his daily requirement.

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What is the first term in a geometric sequence if the common ratio is − 2 and the sum of the first six terms is −105?
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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\\
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r=\textit{common ratio}\\
----------\\
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\end{cases}

\bf -105=a_1\left( \cfrac{1-(-2)^6}{1-(-2)} \right)\implies -105=a_1\left( \cfrac{1-(64)}{1+2} \right)
\\\\\\
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\\\\\\
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