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3 years ago

Cheddar cheese costs $3.45 per pound. Which equation best represents the total cost, c, of pounds, p, of cheddar cheese?

Mathematics

1 answer:

galina1969 [7]3 years ago

7 0

Answer:

c = 3.45 * p

Step-by-step explanation:

Since the total cost of Cheddar Cheese is dependant on the number of pounds that are being purchased then to calculate the total cost we would need to multiply the price per pound by the number of pounds being purchased. Therefore, the following equation would best represent the total cost of the cheddar cheese...

c = 3.45 * p

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How many ways are there to choose a committee of 7 people from a group of 10 people?7201208405040?

lyudmila [28]

Answer: 120

---------------------------------------------------------------------------------------

Explanation:

We have seven slots to fill. Let's call the slots A, B, C, D, E, F, G

There are 10 choices for slot A

There are 9 choices for slot B

There are 8 choices for slot C

There are 7 choices for slot D

There are 6 choices for slot E

There are 5 choices for slot F

There are 4 choices for slot G

We count down because each previous slot reduces the pool to choose from. Multiply those values out: 10*9*8*7*6*5*4 = 604800

Now divide that result by 5040. Why 5040? Because this is the number of ways to arrange 7 people within a single grouping. Note how 7! = 7*6*5*4*3*2*1 = 5040. W're dividing because order does not matter for any committee.

So we have 604800/5040 = 120 which is the answer we want

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Side note: We could use the alternate route of the nCr combination formula

nCr = (n!)/(r!*(n-r)!)

where n = 10 and r = 7

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Step-by-step explanation:

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