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kykrilka [37]
3 years ago
13

Jake wants to surprise his parents with a small anniversary party at their favorite restaurant.

Mathematics
2 answers:
ch4aika [34]3 years ago
4 0

Answer:

16 people

Step-by-step explanation:

35.75 times 16 is 572, times 17 is 607.75, he only has 600 and he cant have a fraction of a person, so he can have 16 people

natima [27]3 years ago
3 0
35.75x=600
x/35.75=600/35.75
x=16.78

He can invite 16 people without exceeding his budget.
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How many distinguishable 11 letter​ "words" can be formed using the letters in MISSISSIPPI​?
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This is given by the multinomial coefficient:

\dbinom{11}{1,4,4,2}=\dfrac{11!}{1!4!4!2!}=34650

If you're not familiar with the multinomial coefficient, you may be able to see it more clearly if you count the number of possible combinations taking each distinct letter n times, where n is the number of times it shows up in the original word.

\underbrace{\dbinom{11}1}_{\text{M}}\underbrace{\dbinom{10}4}_{\text{I}}\underbrace{\dbinom64}_{\text{S}}\underbrace{\dbinom22}_{\text{P}}=\dfrac{11!}{1!10!}\dfrac{10!}{4!6!}\dfrac{6!}{4!2!}\dfrac{2!}{2!0!}=\dfrac{11!}{1!4!4!2!}
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3 years ago
Choose the word form of this number. 180,900,236,821
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3 years ago
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VashaNatasha [74]

Answer:

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8 0
3 years ago
Read 2 more answers
Bryan and Jadyn had barbeque potato chips and soda at a football party. Bryan ate 4 oz of chips and drank 1 cup of soda for a to
Inga [223]

Answer:

1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

x is the amount of sodium in 1oz of chips.

y is the amount of sodium in 1 cup of soda.

Bryan ate 4 oz of chips and drank 1 cup of soda for a total of 600mg of sodium.

This means that 4x + y = 600, also y = 600 - 4x

Jadyn ate 1 oz of chips and drank 4 cups of soda for a total of 300mg of sodium.

This means that:

x + 4y = 300

From the first equation, we have that y = 600 - 4x. So

x + 4(600 - 4x) = 300

x + 2400 - 16x = 300

15x = 2100

x = \frac{2100}{15}

x = 140

y = 600 - 4x = 600 - 4*140 = 40

1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.

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3 years ago
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