There are 12 baseball trading cards in 4 packages. each package has the same number of cards. write a rule in words for the number of packages justin needs to buy to get x cards. then write the rule as an algebraic expression.

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

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:

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

And from that you solve for y:

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .