We have been given that a jeweler has 5 rings, each weighing 12 g, made of an alloy of 20% silver and 80% gold.
Upon melting all 5 rings, the weight of the material will be 12*5=60 grams.
We have been given that the alloy contains 20% silver and 80% gold. Further, let us assume that x grams of silver are added to the melted material so that it has 64% gold and 36% silver.
Therefore, we can set up an equation:

Therefore, we get an equation:


Therefore, 15 grams of silver must be added to the melted material in order to reduce the gold content to 64%.
Answer:0.889
Step-by-step explanation:
8/9=0.8888888
0.889
The value of x is equal to 1.5.
It is required to find x.
<h3>What is quadratic equation?</h3>
Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.
Given that:
So for the triangle, the perimeter would be:

By solving in above equation, we get

So, we take x= 1.5 and neglect -4 because we can't take negative roots of the quadratic equation.
Hence, the value of x is equal to 1.5.
Learn more about quadratic equation here:
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Answer: center (1;0), radius = 2
Step-by-step explanation:
x² – 2x + 5+ y² = 8
x² – 2x + 5+ y² = x² – 2x + 1 + 4 + y² = (х-1)² +4 + y²
(х-1)² +4 + y² = 8
(х-1)² + y² = 8 - 4 = 4
(х-1)² + y² = 2²
center (1;0), radius = 2
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