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2 years ago

Which expression represents the number of thirds in 1

Mathematics

1 answer:

UkoKoshka [18]2 years ago

4 0

Answer:

A third is written as ¹/₃

Step-by-step explanation:

The way to understand this is the number on the bottom is the number of pieces being divided into;

So ¹/₃ is 1 whole divided into 3 parts;

So, you need 3 ¹/₃ parts to make a whole

$a \ * \ \frac{b}{c} = \frac{ab}{c} \\\\ 3 \ * \ \frac{1}{3} = \frac{3 \ * \ 1}{3} \\\\ = \frac{3}{3} \\\\ = 1$

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2 years ago

Which pair of words describes this system of equations 3y=9x-6 2y+6x=4

pishuonlain [190]

Answer:

Consistent and dependent

Step-by-step explanation:

Given

$3y = 9x - 6$

$2y + 6x = 4$

Required

The words that describe the equations

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$2y + 6x = 4$

Collect like terms

$2y = 4 - 6x$

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$y = 2 - 3x$

Substitute: $y = 2 - 3x$ in (1)

$3y = 9x - 6$

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Simplify

$x = \frac{2}{3}$

Substitute $x = \frac{2}{3}$ in $y = 2 - 3x$

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$y = 2 - 2$

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The system is consistent because it has at least 1 solution

The system is dependent because it has more than 1 solution

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