Use inductive reasoning to predict the next three numbers in the pattern. 4, 2, 1, 1 /2 , 1 /4...

Mathematics

1 answer:

sergiy2304 [10]3 years ago

3 0

Answer: 1/8,1/16,1/32,1/64

Step-by-step explanation:just double denominator by itself

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6 children need to share 5 breakfast bars Divide bars into correct numbers of equal parts then tell the fraction each kid will g

tigry1 [53]

-- Carefully cut <em>each bar into 6 equal pieces</em>.
   There are (5 x 6) = 30 pieces all together.
   Each piece is 1/6 of a bar.

-- Each child gets 5 of the pieces.
   That's the same as <em>5/6 of a whole bar</em>.
   (6 children) x (5 pieces) = 30 pieces. It works out. yay !

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3 years ago

Sally is making a painting for which she is mixing red paint and blue paint. The table above shows the different mixtures being

aleksandr82 [10.1K]

1 1/2 - 2 1/2 is 3/2:5/2 or a 3:5 ratio
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3 years ago

Read 2 more answers

How many distinguishable 11 letter "words" can be formed using the letters in MISSISSIPPI?

SCORPION-xisa [38]

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.

$\underbrace{\dbinom{11}1}_{\text{M}}\underbrace{\dbinom{10}4}_{\text{I}}\underbrace{\dbinom64}_{\text{S}}\underbrace{\dbinom22}_{\text{P}}=\dfrac{11!}{1!10!}\dfrac{10!}{4!6!}\dfrac{6!}{4!2!}\dfrac{2!}{2!0!}=\dfrac{11!}{1!4!4!2!}$