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anygoal [31]
3 years ago
6

Type the correct answer in each box. Alan, Bill, and Calvin are playing a game with collectible cards. At the moment, Alan has 1

1 less than times the number of cards Bill has. Calvin has 1 more than times the number of cards Bill has. If Alan and Calvin have the same number of cards, the number of cards Bill has is . The number of cards Alan and Calvin each have is . If Alan, Bill, and Calvin have all the cards in the deck, then the deck has cards.
Mathematics
2 answers:
steposvetlana [31]3 years ago
6 0

Let A be the number of cards Alan has

B be the number of cards Bill has

C be the number of cards Calvin has

Alan had 11 less than 2 1/2 times the number of cards bill has.

is 2.5

Alan is 2.5 of bill has minus 11

A=2.5B -11

Calvin has 1 more than 1 1/2 times the number of cards bill has.

is 1.5

Calvin is 1.5 of bill has plus 1

C=1.5B + 1

Alan and Calvin have the same number of cards

So A=C

WE plug in A and C equations and solve for B

2.5B -11 = 1.5B + 1 (subtract 1.5B on both sides)

1B -11 = 1 (Add 11 on both sides)

B = 12

If Alan and Calvin have the same number of cards, the number bill has is 12

The number of cards Alan and Calvin each have is 19

Total cards = 12 + 19 + 19 = 50

If Alan, bill, and Calvin have all the cards in the deck then the deck has 50 cards

hjlf3 years ago
3 0

Answer:

<h2>GO WITH THE ANSWER ABOVE THIS ANSWER:)</h2>

Step-by-step explanation:

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3 years ago
Are the expressions –0.5(3x + 5) and –1.5x + 2.5 equivalent? Explain why or why not.
Nadya [2.5K]
We can check this two ways: distributing the -0.5, and plugging in a number for x.

First, we can check this by distributing the -0.5.  Our equation becomes:

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Clearly, this is not true.  We can show this one more time by plugging in a number for x.  I will use 2.

-0.5(3*2+5)=-1.5*2+2.5

Now, we evaluate both sides and see if they are equal.

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Clearly, this is not true.  These expressions are not equivalent.
4 0
3 years ago
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Svetach [21]

Answer:

638 in.²

Step-by-step explanation:

Assuming you need to cover just the surface area of the box with no overlaps, and the shape is a rectangular prism, then you need to find the surface area of a rectangular prism.

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where

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H = height of prism

L = length of base

W = width of base

SA = 2(16 + 7)(9) + 2(16)(7)

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