How many ounces of gold are in aa 1414-karat gold chain that weighs 2.52.5 ounces?
2 answers:
Solution:
we have been asked to find
How many ounces of gold are in aa 14-karat gold chain that weighs 2.5 ounces?
14 -Karat Gold means 14 parts of gold in the 24 parts of the Gold chain.
So the ratio of pure gold is
So the pure gold in 2.5 ounces of gold chain can be given as below
Hence there is 1.5 Ounce of pure gold in the 14-karat gold chain that weighs 2.5 ounces.
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The first term of the arithmetic progression exists at 10 and the common difference is 2.
<h3>How to estimate the common difference of an arithmetic progression?</h3>
let the nth term be named x, and the value of the term y, then there exists a function y = ax + b this formula exists also utilized for straight lines.
We just require a and b. we already got two data points. we can just plug the known x/y pairs into the formula
The 9th and the 12th term of an arithmetic progression exist at 50 and 65 respectively.
9th term = 50
a + 8d = 50 ...............(1)
12th term = 65
a + 11d = 65 ...............(2)
subtract them, (2) - (1), we get
3d = 15
d = 5
If a + 8d = 50 then substitute the value of d = 5, we get
a + 8 5 = 50
a + 40 = 50
a = 50 - 40
a = 10.
Therefore, the first term is 10 and the common difference is 2.
To learn more about common differences refer to:
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