Using the formula for the nth term of an arithmetic progression.
an = a + (n - 1)d
a(4) = a + 3d = 55
a(9) = a + 8d = 90
a(9) - a(4) => 5d = 35
d = 35/5 = 7.
From a(4): a = 55 - 3d = 55 - 3(7) = 55 - 21 = 34
a(2) = a + d = 34 + 7 = 41.
To begin, each of the friends have made 4 bags of dough. This gives 12 bags at the outset. After 10 days, all 12 bags are made into (4*12) bags, or 48 bags. After 20 days, the 48 bags are made into (48*4), or the required 192 bags. After 20 days, then, the friends have the needed 192 bags.
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Answer:
A better option to express the results will be a cumulative frequency curve.
Step-by-step explanation:
At the moment, the moment, the question does not have a histogram, so we will explain the advantages of a frequency distribution curve or polygon.
The Cumulative Frequency Curve allows data to be interpreted continuously. The cumulative frequency prevents "gaps" that are found in the histograms. For instance, a histogram does not provide a frequency distribution of a certain type of data. In addition, the curves clarify better the trends in the data set. Furthermore, large data can be compressed and summarized in a compact form by using the distribution in the data set.
Answer:
B. 
Step-by-step explanation:
Let n be the number.
We are asked to write an mathematical expression for the given word phrase.
One third of a number, n, would be 
.
Two more than one third of a number, n, would be 
.
We are told that Two more than one-third of a number is 8. We can represent this information in an equation as:
Therefore, option B is the correct choice.
