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3 years ago

5

Use the Distributive Property to simplify the expression: 2(4a+6b)

1 answer:

Anarel [89]3 years ago

4 0

8a+12b because you multiply 2 by each number. For example 4a times 2 is 8a and 6b times 2 is 12b

Hope that helped :)

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If 10 people apply for 3 jobs in how many ways can people be chosen for the jobs. 1. If the jobs are all the same. 2. If the job

Crank

Answer:

1. 120 ways

2. 720 ways

Step-by-step explanation:

When the order is important, we have a permutation.

When the order is not important, we have a combination.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

1. If the jobs are all the same.

Same jobs means that the order is not important. So

3 from a set of 10.

$C_{10,3} = \frac{10!}{3!(10-3)!} = 120$

120 ways

2. If the jobs are all different.

DIfferent jobs means that the order matters.

$P_{(10,3)} = \frac{10!}{(10-3)!} = 720$

720 ways

6 0

3 years ago

What are the next 3 numbers in this pattern of integers -2, -1, -1, 0, -1, 1, -2

sashaice [31]

Answer:

The next 3 numbers to the given pattern of integers is -2,-1,-1,0,-1,1,-2 are 3,-5,8

Step-by-step explanation:

Given pattern of integers is -2,-1,-1,0,-1,1,-2

To find their next 3 numbers of the given pattern :

Let $a_{1}=-2$

$a_{2}=-1$

$a_{3}=a_{1}-a_{2}$

$=-2-(-1)$

$=-2+1$

Therefore $a_{3}=-1$

$a_{4}=a_{2}-a_{3}$

$=-1-(-1)$

$=-1+1$

Therefore $a_{4}=0$

Similarly we have $a_{5}=-1$ , $a_{6}=1$ , $a_{7}=-2$

The general form to the given pattern is

$a_{n}=a_{n-2}+a_{n-1}$ for $n={\{1,2,3,4,5,6,7,8,9,10}\}$

Therefore to find the $a_{8},a_{9},a_{10}$

Put n=8 in $a_{n}=a_{n-2}-a_{n-1}$

$a_{8}=a_{8-2}-a_{8-1}$

$=a_{6}-a_{7}$

$=1-(-2)$

$a_{8}=3$

Put n=9 in $a_{n}=a_{n-2}-a_{n-1}$

$a_{9}=a_{9-2}-a_{9-1}$

$=a_{7}-a_{8}$

$=-2-(3)$

$a_{9}=-5$

Put n=10 in $a_{n}=a_{n-2}-a_{n-1}$

$a_{10}=a_{10-2}-a_{10-1}$

$=a_{8}-a_{9}$

$=3-(-5)$

$a_{10}=8$

Therefore the next 3 numbers are 3,-5,8

4 0

3 years ago

Dirk can clean a playground in 5 hours. Geralyn can clean a playground in only 4 hours. Which of the following can be used to de

denis23 [38]

It would take 1hr because if you subtract the hrs

7 0

3 years ago

1.) It takes the family 1/3 of an hour to walk around 2/25 of the entire zoo.

Alborosie

Answer:

Step-by-step explanation:

Joe shmo the 3rd

5 0

3 years ago

Can someone answer this for me please

Marianna [84]

Answer:

36 Seconds

Step-by-step explanation:

3 x 12 equals 36

4 x 9 equals 36

what we do is find a least common multiple for both the numbers

hope this helps, if it does, can i have brainliest?

6 0

3 years ago