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Nonamiya [84]
2 years ago
8

Evaluate the expression using properties of numbers. Name the property used in each step.

Mathematics
1 answer:
Bingel [31]2 years ago
6 0

The properties are listed in the following order:

  1. <em>Given</em>
  2. <em>Conversion from mixed numbers into rational numbers / Associative property</em>
  3. <em>Addition of fractions with different denominators</em>
  4. <em>Mutiplication of fractions</em>
  5. <em>Associative property / Existence of multiplicative inverse / Modulative property / Definition of division</em>
<h3>How to simplify a product of rational numbers</h3>

Herein we are in front of a product of three <em>rational</em> numbers, that is, numbers of the form m / n, where m, n are integers and n ≠ 0. We need to apply definition and theorems from algebra to simplify a given number, whose procedure is shown in detail:

(2 3 / 4) · (1 1 / 8) · 32             Given

(2 + 3 / 4) · (1 + 1 / 8) · 32       Conversion from mixed numbers into rational numbers

(11 / 4) · (9 / 8) · 32                  Addition of fractions with different denominators

(99 / 32) · 32                          Mutiplication of fractions

99                                           Associative property / Existence of multiplicative inverse / Modulative property / Definition of division / Result

To learn more on fractions: brainly.com/question/10354322

#SPJ1

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12345 [234]

To find which point is NOT on the line y = 5x + 1, we just need to plug each point into equation y=5x+1 to see which one point satisfies this equation.

check for (1,6)

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or 6=5*1+1

or 6=5+1

or 6=6

Which is TRUE.

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check for (2,11)

y=5x+1

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or 11=10+1

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Which is TRUE.

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check for (0,1)

y=5x+1

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Which is TRUE.

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check for (-1,6)

y=5x+1

or 6=5*(-1)+1

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Since only point (-1,6) fails to satisfy the given equation hence point (-1,6) is the final answer.

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You've baked 26 cookies, which is two-thirds of all the cookies you planned to bake. How many cookies did you plan to make?
hodyreva [135]

Answer,

<em>(26/2) * 3</em>

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Explanation,

<u><em>26 cookies is only 2/3 of 3/3. So, we divide 26 by 2 to see how many cookies are in 1/3. We then can find out that when you make 1/3 of the cookies there are 13. Since that is only 1/3 and we want to find out 3/3. We multiply 13 by 3 and get 39 which is all the cookies she planned to make.</em></u>


<u><em>Hope this helps :-)</em></u>

7 0
3 years ago
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