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3 years ago

Divide. 1/3 ÷ 4/5 Express your answer in simplest form. Enter your answer in the box.

Mathematics

1 answer:

Step2247 [10]3 years ago

3 0

1/3 divided by 4/5 = 5/12

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Select the correct answer

vekshin1

Answer:

B. i

Step-by-step explanation:

n/4 has a remainder of 3, then it has a format of:

n = 4k + 3

Substitute n:

i^n = i^(4k)*i^3 = i^(4k)*i^2*i = (-1)(-1)*i = i

Correct option is B. i

7 0

3 years ago

Just carpet has eight different quality grades of carpeting. Three types are being selected for a corporate test on durability.

zhannawk [14.2K]

Answer:

When we have a set of N elements, the number of combinations of K elements (such that N ≤ K) from these N elements is:

$C(N, K) = \frac{N!}{(N - K)!*K!}$

Then if we have 8 different types of carpet, and we want to see how many different samples of 3 types we can choose, we just need to replace N by 8, and K by 3 in the above equation:

$C(8, 3) = \frac{8!}{(8 - 3)!*3!} = \frac{8!}{5!*3!} = \frac{8*7*6}{3*2} = 56$

So there are 56 different samples.

Now we can do the same, but this time we want to use 5 types of carpet, then we will have K = 5.

$C(8, 5) = \frac{8!}{(8 - 5)!*5!} = \frac{8!}{3!*5!} = 56$

Again, we have 56 different samples.

7 0

3 years ago

Write –64.875 as a mixed number.

Juliette [100K]

Answer:

$-64\frac{7}{8}$

Step-by-step explanation:

-64 would be the whole number.

.875 would be 875/1000 as a fraction.

Put them together:

$-64\frac{875}{1000}$

Simplify:

$-64\frac{875}{1000}=-64\frac{875/125}{1000/125}=\boxed{-64\frac{7}{8}}$

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3 years ago

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I Needham help without this one I will give you brainlist

Semmy [17]

Answer:

hi, it can be 0 or also 1

please mark as brainiest:)

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3 years ago

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The energy saving from recycling one glass bottle will power the oven Adam uses to cook the turkey for ... power the oven Adam uses to cook the turkey for 7.5 minutes

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3 years ago