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If 10x equals 0.1 percent of 10y, where x and y are integers, which of the following must be true?
If 10x equals 0.1 percent of 10y, where x and y are integers, which of the following must be true?
admin
2015-03-24
35
问题
If 10
x
equals 0.1 percent of 10
y
, where x and y are integers, which of the following must be true?
选项
A、y=x+2
B、y = x + 3
C、x = y + 3
D、y =1,000x
E、x= 1,000y
答案
B
解析
The quantity 0.1 percent of m can be expressed as
m, which is equal to
m, or
m. Given that 10
x
equals 0.1 percent of 10
y
, it follows that
or 10
x
= 10
y-3
. Therefore x = y - 3, or y = x + 3. The correct answer is Choice B.
This explanation uses the following strategies.
Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation
Strategy 5: Simplify an Arithmetic or Algebraic Representation
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