每周一题

Math Daily

有趣的代数

An Interesting Algebra Problem:


If x + 1/x = 7, then x2 + 1/x2 = ?

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上期答案:
Answer: (e)
Solution: Gold concentration = weight of gold/total weight
0.80 = (20 • 0.60 + x)/( 20 + x)
12 + x = 16 + 0.8x
0.2x = 4
x = 20 grams

The "Jeweler Math"

A jeweler has a 20 gram ring that is 60% gold and 40% silver. He wants to melt it down and add enough gold to make it 80% gold. How many grams of gold should be added?

(a) 4 grams (b) 8 grams (c) 12 grams (d) 16 grams (e) 20 grams

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,.上期答案:(b) 420.

求三角形面积 Please find the area of a triangle:

In △ABC, AB = BC = 29, and AC = 42. What is the area of △ABC?

(A) 100 (B) 420 (C) 500 (D) 609 (E) 701

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上期答案:
共有 119 阶。

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