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vesna_86 [32]
3 years ago
11

Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 +

5x = 9x − 36 Step 2 ⇒ 3x + 5x − 12 = 9x − 36 Step 3 ⇒ 8x − 12 = 9x − 36 Step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36 Step 5 ⇒ 0 − 12 = x − 36 Step 6 ⇒ −12 = x − 36 Step 7 ⇒ −12 + 36 = x − 36 + 36 Step 8 ⇒ 24 = x + 0 Step 9 ⇒ 24 = x Which property yields Step 7? A) Additive Inverse Property B) Additive Identity Property C) Addition Property of Equality D) Commutative Property of Addition
Mathematics
1 answer:
7nadin3 [17]3 years ago
7 0

In Step 6, the equation is ...

  -12 = x - 36

In step 7, the equation is ...

  -12 +36 = x -36 +36

Clearly, to get to step 7, 36 has been added to both sides of the equation.

Adding 36 to both sides of the equation is justified by ...

... C) Addition Property of Equality

_____

<em>More about the addition property of equality</em>

The addition property of equality says you can add the same value to both sides of an equation without changing the values of the variables that make the equation true. Here, x=24 makes the equation of step 6 true, and x=24 makes the equation of step 7 true.

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N4=c

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Geometry: complete this proof of theorem 14, ASAP!
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Student council is making bows for Red Ribbon Week. To make a complete bow, they need 234 feet of ribbon. If the student council
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Step-by-step explanation:

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Three of these fractions are equivalent: B. 12 C . 21 D. 74 30 A. . 70 Which one is the odd one out?
IrinaVladis [17]

Answer:

12/30

Step-by-step explanation:

Here is the complete question

Three of these fractions are equivalent A.30/70 B.12/30 C.9/21 D.6/14 which one is the odd one out

to determine the equivalent fractions, convert the fractions to percentage

\frac{30}{70} × 100 = 42.86%

\frac{12}{30} × 100 = 40%

\frac{9}{21} × 100 = 42.86%

\frac{6}{14} x 100 = 42.86%

Another method is to convert the fraction to its simplest form

30/70

To transform to the simplest form. divide both the numerator and the denominator by 10 = 3/7

12/30

To transform to the simplest form. divide both the numerator and the denominator by 6 = 2/5

9/21

To transform to the simplest form. divide both the numerator and the denominator by 3 = 3/7

6/14

To transform to the simplest form. divide both the numerator and the denominator by 2 = 3/7

Using either methods, 12/30 is the odd one out  

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3 years ago
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