A _______ is a type of folk song that tells a story.

Rosita earns money by walking dogs after school and on weekends.She walks Madeline every other day,buddy every fourth day,and er

leonid [27]

On 12th day Rosita will walk all three dogs

Solution:

Given that Rosita earns money by walking dogs after school and on weekends

She walks Madeline every other day,buddy every fourth day,and ernie every third day

Today she walked all three dogs

To find: the day when she walked all three dogs

From given question,

Madeline is walked every other day means every two days: 2

Buddy is walked every fourth day: 4

Ernie is walked every third day: 3

To find the day when she walked all three dogs, we have to find the least common multiple (LCM) of 2, 4, 3

L.C.M of 2, 4, 3:

List all prime factors for each number

Prime Factorization of 2 shows:

2 is prime => $2^1$

Prime Factorization of 3 shows:

3 is prime => $3^1$

Prime Factorization of 4 is:

$2 \times 2 = 2^2$

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 3

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 3 = 12

Thus on 12th day Rosita will walk all three dogs

4 0

3 years ago

How many ways are there to select 12 countries in the United Nations to serve on a council if 5 are selected from a block of 45,

melomori [17]

Answer:

There are 436937109262510348800 ways to selected 12 countries.

Step-by-step explanation:

Let $x_1, x_2, x_3, x_4,x_5$ the countries selected from the block of 45. For $x_1$ there are 45 options of countries to select. For $x_2$ there are 44 options of countries to select because there can be no repeated countries. With the same reasoning, for $x_3$ there are 43 options, for $x_4$ there are 42 options and for $x_5$ there are 41 options.

Let $x_6, x_7, x_8, x_9$ the countries selected from the block of 57 countries. For $x_6$ there are 57 options of countries to select. For $x_7$ there are 56 options of countries to select because there can be no repeated countries. With the same reasoning, for $x_8$ there are 55 options and for $x_9$ there are 54 options.

Let $x_{10}, x_{11}, x_{12}$ the countries selected from the block of 69 remain countries. For $x_{10}$ there are 69 options of countries to select. For $x_{11}$ there are 68 options of countries to select because there can be no repeated countries and for $x_{12}$ there are 67 options.