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Pepsi [2]
3 years ago
6

cate and elena were playing a card game the stack of cards in the middle had 24 cards in it to begin wiht. Cate added 8 cards to

the stack Elena then took 12 cards from the sack. Finally cate took 9 cards from the stack. How many cards were left in the stack?
Mathematics
2 answers:
Kaylis [27]3 years ago
7 0
24+8 = 30

30 - 12 = 18

18-9 = 8

There are 8 cards left in the stack
Alla [95]3 years ago
4 0

Answer:

11

Step-by-step explanation:

24 + 8 - 12 - 9= D

32- 12 - 9 =d

20- 9 = d

D = 11

(D is the cards left in the stack)

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Is 3(x + 1)2 = (3x + 3)2 an identity? Explain and show your reasoning.
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Answer:

YES

Step-by-step explanation:

The equation, 3(x + 1)2 = (3x + 3)2, would be an identity if the equation remains true regardless of the value of x we choose to plug in into the equation.

Let's find out if we would always get a true statement using different value of x.

✍️Substituting x = 1 into the equation:

3(x + 1)2 = (3x + 3)2

3(1 + 1)2 = (3(1) + 3)2

3(2)2 = (3 + 3)2

12 = 12 (TRUE)

✍️Substituting x = 2 into the equation:

3(x + 1)2 = (3x + 3)2

3(2 + 1)2 = (3(2) + 3)2

3(3)2 = (6 + 3)2

18 = 18 (TRUE)

✍️Substituting x = 3 into the equation:

3(x + 1)2 = (3x + 3)2

3(3 + 1)2 = (3(3) + 3)2

3(4)2 = (9 + 3)2

24 = 24 (TRUE)

Therefore, we can conclude that the equation, 3(x + 1)2 = (3x + 3)2, is an identity.

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