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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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belka [17]

Answer:

46

Step-by-step explanation:

Break the shape into smaller shapes, then solve:

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4 0
2 years ago
An animal reserve has 40,000 elk. The population increases 11% a year. How long tell the population is equal to 80,000. If someo
sukhopar [10]

Answer:

7 years (This answer is to the nearest year)

Step-by-step explanation:

The way you could work this out is by trial and error. 11 % a year means that its population increases by 4400 annually. 40,000 X 1.11^1 gives you the amount it would be after one year (44000). I got the 1.11 because of the percentage (0.11) plus the amount you need to do percentage increase (1). Then all you do is keep on going up till you hit the number you need (80,000) after about 7 years the total would have hit 80,000 and would have actually went past it (83046)

8 0
3 years ago
I need help or my report card is gonna have a f its coming out tommorow
OverLord2011 [107]

Answer:

F.

A.

Step-by-step explanation:

hope this helps you

8 0
3 years ago
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Leviafan [203]
Y= 2x +3

First, you find the slope. ( use slope formula)

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4 0
3 years ago
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Answer:

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Step-by-step explanation:

B. He added 5 to each side of the equation.

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