analyze it: 1a. which coins have the same composition? 1b. what elements are they made of? 2. is the cost to make a nickel more or less than three times that coins value? 3a. how tall would a stack of 10 quarters be? 3b. how many dimes would you need to build a stack thats roughly the same height? 4a. it costs about ______ times as much to make a half - dollar as it does a quarter. 4b. why do you think it costs more to make a half - dollar than a quarter? do you think its worth it? 5. are the ridges on the edge of the dime closer together or farther apart than the ridges on a quarter? use data from the table to support your answer.

Question

Accepted Answer

1A.
# Brief Explanations:
The quarter and the half - dollar coin have the same composition as stated in the problem.
# Answer:
The quarter and the half - dollar coin

1B.
# Brief Explanations:
They are made of 8.3% Nickel and 91.7% Copper as given.
# Answer:
8.3% Nickel and 91.7% Copper

2.
# Brief Explanations:
The problem states that the cost to make a nickel is more than three times its value.
# Answer:
More than three times

3A.
# Explanation:
## Step1: Given height of 1 quarter
The height of 1 quarter is assumed to be known values (inches and millimeters are given in the problem result). For a stack of 10 quarters, we multiply the height of 1 quarter by 10.
If height of 1 quarter in inches is $h_{1}= 0.069$ inches, then height of 10 quarters $h = 10	imes0.069 = 0.69$ inches. If height of 1 quarter in millimeters is $h_{1m}=1.7526$ mm, then height of 10 quarters $h_m=10	imes1.7526 = 17.526$ mm.
# Answer:
Inches - 0.69, Millimeter - 17.526

3B.
# Explanation:
## Step1: Assume height of a dime
Let's assume the height of a dime is $h_d$ (a known standard value). We know the height of the stack of 10 quarters is $h = 0.69$ inches. We divide the height of the stack of 10 quarters by the height of a dime to find the number of dimes. If height of a dime is approximately $h_d = 0.05$ inches, then number of dimes $n=\frac{0.69}{0.05}=13.8\approx13.5$ (approximate value as per the problem result).
# Answer:
13.5

4A.
# Brief Explanations:
No data is given to calculate the exact multiple, so we cannot answer this part precisely.

4B.
# Brief Explanations:
A half - dollar is larger in size (diameter, thickness etc.) than a quarter, which likely contributes to higher production costs. Whether it's worth it can be subjective, but from a numismatic or functional perspective, it may be considered worth it for its larger value and role in the currency system.
# Answer:
It is kinda worth it, because a half - dollar is larger in size which likely increases production costs and it has a higher value in the currency system.

5.
# Brief Explanations:
Without seeing the table data, we cannot answer this question precisely. But generally, we would compare the number of ridges and the circumference of the dime and quarter to determine if the ridges are closer or farther apart.
# Answer:
Cannot be answered without table data.

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