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3 years ago

HELP PLEASE

Mathematics

1 answer:

777dan777 [17]3 years ago

8 0

The closest would have to be $42.53, like the regular

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There are 12 baseball trading cards in 4 packages. each package has the same number of cards. Write a rule in words for the numb

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Answer:

Rule in words:

The number of packages Justin needs to buy to get x cards is x divided by 3.

Rule as an algebraic expresssion:

$y=x/3$

Explanation:

This is a direct variation problem.

Since each package has the same number of cards, the number of cards is proportional to the number of packages.

12 baseball cards in 4 packages means that there are 12/4 = 3 cards per package, so:

The number of cards is 3 times the number of packages.

The number of packages is the number of cards divided by the number of 3.

So, the rule in words for the number of packages Justin needs to buy x cards is one third of x. This table may help you to visualize it:

Number of packages: 1 2 3 4 5

Number of cards: 3 6 9 12 15

To find the algebraic expression that describes the same rule, you can set the following proportion:

$\frac{12}{4} =\frac{x}{y}$

Where y is the number of packages and x is the number of cards.

And from that you solve for y:

$\frac{12}{4} =\frac{x}{y}\\ \\ 12y=4x\\ \\ y=4x/12\\ \\ y=x/3$

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