Answer:
The correct answer is C. 54.
Step-by-step explanation:
Since Danielle started her postcard collection with 6 cards that she received from her uncle during his trip to France, and Danielle's uncle sends her 2 more cards each month as he travels for business, and the table below shows the relationship between the number of months Danielle has been collecting cards and the number of cards she has.
Number of Months Danielle
Has Been Collecting Cards Number of Cards in the
Collection
2 10
4 14
8 22
24?
To determine how many cards Danielle can expect to have after 24 months, the following calculation must be performed:
(24 x 2) + 6 = X
48 + 6 = X
54 = X
Therefore, after 24 months Danielle will have 54 cards.
Answer: (3.5,-2)
Step-by-step explanation:
To solve this problem, all we have to do is plug in y=-2 into either equations from step one to find the coordinate. To make sure we have the right x-coordinate, let's plug in y for both equations.
4x-7y=28 [plug in y=-2]
4x-7(-2)=28 [multiply]
4x+14=28 [subtract both sides by 14]
4x=14 [divide both sides by 4]
x=3.5
------------------------------------------------------------------------------------------------------------
6x-5y=31 [plug in y=-2]
6x-5(-2)=31 [multiply]
6x+10=31 [subtract both sides by 10]
6x=21 [divide both sides by 6]
x=3.5
Now, we know the solution to the system is (3.5,-2).
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the answer is 0.00116451016
hope it helped :)
