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Nezavi [6.7K]
3 years ago
8

Fill in the blanks to make each of the following a true statement. Also name the property exhibited by each statement.

Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0
1. 522
2. 1
3. 108
4. 0
5. 1
53*99+53 = 5300
53*(99+1) = 5300

Hope it helped!
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Answer:

2nd choice

Step-by-step explanation:

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2\frac { 1 }{ 2 } \quad divided\quad by\quad 5\frac { 1 }{ 3 } \\ \\ 2\frac { 1 }{ 2 } =2+\frac { 1 }{ 2 } =\frac { 5 }{ 2 } \\ \\ 5\frac { 1 }{ 3 } =5+\frac { 1 }{ 3 } =\frac { 15+1 }{ 3 } =\frac { 16 }{ 3 } \\ \\ \\ \frac { \frac { 5 }{ 2 }  }{ \frac { 16 }{ 3 }  }

We're dividing fractions, so we will flip the one in the denominator upside down and we will multiply it with the numerator.

\frac { \frac { 5 }{ 2 }  }{ \frac { 16 }{ 3 }  } \quad =\quad \frac { 5 }{ 2 } \cdot \frac { 3 }{ 16 } =\frac { 5\cdot 3 }{ 2\cdot 16 } =\frac { 15 }{ 32 }

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\frac { 256 }{ 15 } =\frac { 15x }{ 15 } \\ \\ \frac { 256 }{ 15 } =x

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The factoring can be done similarly to a quadratic equation thanks to x^4 being the square value of x^2.

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