Find the value of x such that the data set has the given mean. 98, 121, 107, 114, 110, x; mean 105
1 answer:
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Answer:
One glass of iced tea cost $2.72
Step-by-step explanation:
Let,
x be the amount of gift card.
y be the amount of one glass of iced tea.
According to given statement;
Julie and her friend bought tea and remaining balance was $14.85
x - 2y = $14.85 Eqn 1
All the six members bought tea and remaining balance was $3.97
x - 6y = $3.97 Eqn 2
Subtracting Eqn 2 from Eqn 1
Dividing both sides by 4
Hence,
One glass of iced tea cost $2.72
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Answer:
Common difference
Next three terms
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Find the common difference by subtracting the previous term from a term. We can use the terms 1/4 and 1/2:
Convert 1/2 into a fraction over 4:
1/2 · 2/2 = 2/4
Find the common difference by subtracting the fractions:
2/4 - 1/4 = 1/4. This is the common difference.
Find the next 3 terms by adding 1/4:
5/4 + 1/4 = 6/4 (Reduce fraction) = 3/2
6/4 + 1/4 = 7/4
7/4 + 1/4 = 8/4 (Reduce fraction)
Therefore, the next 3 terms are 3/2, 7/4 and 2.