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olga_2 [115]
2 years ago
8

Is it A) , B) , C), D) , E)

Mathematics
1 answer:
Mrac [35]2 years ago
8 0

Answer:

Part A) The statement is True

Part B) The statement is False

Part C) The statement is True

Part D) The statement is True

part E) The statement is False

Step-by-step explanation:

Part A) we have

1.66..=1 \frac{6}{9}

The statement Is True

Convert the repeating decimal 1.66.. to an equivalent fraction

Let

x=1.66..\\ 10x=16.66..\\ 10x-x=16.66..-1.66..\\ 9x=15\\ x=15/9

Convert to mixed number

15/9=9/9+6/9=1 \frac{6}{9}

therefore

1.66..=1 \frac{6}{9}

Part B) we have

0.6 < 6\%

The statement is false

Because

6\%=6/100=0.06

so

substitute

0.6 < 0.06 -----> is not true

Part C) we have

45\% \leq4.5

The statement is True

Because

45\%=45/100=0.45

substitute

0.45 \leq4.5 ----> is true

Part D) we have

5^{2} \geq 16

The statement is True

Because

5^{2}=25

substitute

25 \geq 16 ----> is true

Part E) we have

9.25 > 9\frac{3}{4}

The statement is false

Because

Convert mixed number to an improper fraction

9\frac{3}{4}=\frac{9*4+3}{4}=\frac{39}{4}

Convert decimal number to an improper fraction

9.25=9\frac{1}{4}=\frac{9*4+1}{4}=\frac{37}{4}

substitute

\frac{37}{4} > \frac{39}{4} -----> is not true

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