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Coltonh7681
13.07.2020 •
Mathematics
The Jones family and the Connor family both bought the same boxed package of sugar cubes at the store, in which the cubes were arranged in 5 layers. After drinking of 61 cups of tea, the Joneses found that they were out of sugar. The Connors' sugar box was enough to last them through 88 cups of tea. Both families put either 2 or 3 pieces of sugar per cup. How many sugar cubes were in the box?
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Ответ:
180
Step-by-step explanation:
At the beggining, it says they are stacked in 5 layers which means the number of cubes is divisible by 5.
If the number of cubes equals x:
The least amount of sugar cubes the Jones family could have used is
which equals 122. The most they couldve used is
which equals 183.
Based on the information from the Jones family, x is between 122 and 183.
Based on the information from the Connor's, x is between 176 and 264.
Based on the information from both, x is between 176 and 183. The only number that is divisible by 5 between those numbers is 180 cubes.
Ответ:
Both
Step-by-step explanation:
An arithmetic sequence is given by the next form:
Where
is the
term of the sequence,
the first term of the sequence and
the common difference between terms.
So the given sequence is of the form, because the common difference between terms is 0.
A geometric sequence is given by the next form
When![r\neq 0](/tpl/images/2572/2229/fdaab.png)
In this occasion our
and the ![r = 1](/tpl/images/2572/2229/c53b4.png)
So both sequence represent the given one.