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Feliz [49]
3 years ago
7

At the fair, 2 corn dogs and 3 pretzels cost $13, and 5 corn dogs and 6 pretzels costs $28. How much

Mathematics
1 answer:
NemiM [27]3 years ago
5 0
Let x represent the cost of corn dogs. Let y represent the cost of pretzels.

2x+3y=13
5x+6y=28

Multiply the first equation by two so that we can eliminate y.

Subtract:
4x+6y=26
5x+6y=28

-x=-2
x=2

4(2)+6y=26
8+6y=26
6y=18
y=3

3 x 2 = 6
6+2=8

Therefore, 2 pretzels and a corn dog would cost $8.
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Answer:

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seven different gifts are to be distributed among 10 children. How many distinct results are possible if no child is to receive
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Answer:

120 distinct results are possible if no child is to receive more than one gifts.

Step-by-step explanation:

When the order is not important, we use the combination formula:

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C_{n,x} = \frac{n!}{x!(n-x)!}

The order is said to be not important if for example, John receiving the Buffalo Bills jersey and then Laura receiving the Cleveland Browns jersey is the same as Laura receiving the Cleveland Browns jersey before John receives the Buffalo Bills jersey.

In this problem, we have that:

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C_{10,7} = \frac{10!}{7!(3)!} = 120

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