Of the men in the survey, what percent of them prefer movies? Write your answer as a percent and round to one decimal place.

Mathematics

1 answer:

andre [41]3 years ago

4 0

Answer:

Step-by-step explanation:

There are 20 men and 8 of them prefer movies.

P = 8/20 = 0.4 = 40%

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A bacteria culture begins with 4 bacteria which double in size every hour. How many bacteria exist in the culture after 8 hours?

Shalnov [3]

Answer:

Option C. 1,024 bacteria

Step-by-step explanation:

We are given that a bacteria culture begins with 4 bacteria which double in size every hour. And we have to find that how many bacteria exist in the culture after 8 hours;

So, Number of bacteria after one hour = 4 * 2 = 8

Number of bacteria after two hours = 8 * 2 = 16

Number of bacteria after three hours = 16 * 2 = 32

Number of bacteria after four hours = 32 * 2 = 64

Number of bacteria after five hours = 64 * 2 = 128

Number of bacteria after six hours = 128 * 2 = 256

Number of bacteria after seven hours = 256 * 2 = 512

Number of bacteria after eight hours = 512 * 2 = 1,024

Therefore, 1,024 bacteria exist in the culture after 8 hours .

7 0

3 years ago

Hot dogs come in packages of 10 and hot dog buns come in packages of 8 . What is the least amount of product that you need to Bu

lubasha [3.4K]

This exercise is solved by finding the least common multiple between 10 and 8.

In fact, you have to buy a certain number $h$ of hot dog package, and you will have $10h$ hot dogs, since there are 10 hot dogs in each package. The key concept here is that the number of hot dogs you have in the end is a multiple of the number of hot dogs in each box.

Similarly, you have to buy a certain number $b$ of hot dog buns package, and you will have $8b$ hot dogs, since there are 8 hot dog buns in each package. Again, the key concept here is that the number of hot dog buns you have in the end is a multiple of the number of hot dog buns in each box.

Then, you want to have the same number of hot dogs and hot dog buns, i.e. you want

$10h = 8b$

but you also want $h$ and $b$ to be the first values to satisfy this equation.

This means that you want a multiple of 10 to equal a multiple of 8, and you want the smallest possible number which does the trick. Again, this is exactly the definition of the least common multiple.

To find the least common multiple of two numbers, find their prime factorization, and collect all the primes from both factorizations, with the highest exponent possible. Since $10 = 2\cdot 5$ and $8 = 2^3$ , the primes appearing are 2 and 5. The higher exponent for 2 is 3, and the only exponent for 5 is 1. So, the answer is $2^3\cdot 5 = 40$ .