Write the equation for the vertical line that contains point E(-7, 7).

marco must pay a total of $1596 for some home repairs. if he divides the cost into 28 equal payments, what will each payment be?

ziro4ka [17]

Show your work.

$1596.00 divided by 28 equals $57.00 per payment.

4 0

3 years ago

One attempt left!!

ira [324]

Answer:

U is the midpoint of a segment in the diagram

4 0

3 years ago

You know how to play 21 songs on your guitar. (a) If you want to choose 8 of the songs to make a setlist to play for a small gat

UNO [17]

Answer:

(a) 8,204,716,800

(b) 5,985

Step-by-step explanation:

Combinations and Permutations

Combinatorics is the part of the discrete mathematics that studies the enumeration of groups or sorting of a determined number of elements. The concept of combinations is tied to the different forms to group elements where the order of their arrangements is not important or does not differentiate from the very same set of elements picked in a different order.

The concept of combinations is tied to the differents forms to group elements where the order of their arrangements is not important or does not differentiate from the very same set of elements picked in different order.

On the other hand, permutations or variations are sets selected in a specific order and another set with the same element but in different order is considered a different set.

If we have n elements available to pick from in sets of m elements each, there can be C(n,m) different combinations, and it's given by

$\displaystyle C(n,m)=\frac{n!}{m!(n-m)!}$

Similarly the number of permutations is given by

$\displaystyle P(n,m)=\frac{n!}{(n-m)!}$

(a) I have n=21 songs to pick from and I want to choose m=8 of them where the order matters, so it's a permutation:

$\displaystyle P(21,8)=\frac{21!}{(13)!}=\frac{51,090,942,171,709,440,000}{6,227,020,800}=8,204,716,800$

I can make more than 8 billion different setlists

(b) To choose m=4 songs from n=21 songs where the order does not matter, we compute the combination

$\displaystyle C(21,4)=\frac{21!}{4!(17)!}=\frac{21\cdot 20\cdot 19\cdot 18\cdot 17!}{4\cdot 3\cdot 2\cdot 1(17)!}$

$\displaystyle C(21,4)=\frac{143,640}{24}=5,985$

I can make almost 6,000 sets of 4 songs

5 0

3 years ago

(7x8-(-10))divided by 6+(-6)

maw [93]

the answer is 66 i think

6 0

3 years ago

A construction company is starting to build a new house. They need to put tape around the site to begin. The new home site is 20

jonny [76]

Answer:

20 meters

Step-by-step explanation:

A construction company is starting to build a new house. They need to put tape around the site to begin. The new home site is 20 meters wide by 40 meter long rectangle. The company already has 100 meters of tape. How much more tape does the company need to tape the site?

We would have to find the perimeter of this rectangle

Perimeter fo a rectangle = 2L + 2W

In the above question,

L = Length = 40 m

W = Width = 20 m

Hence:

Perimeter = 2(40m) + 2(20m)

= 80m + 40m

= 120m

Hence, he would need 120 meters of tape

From the above Question, the company already has 100m

Hence, the amount of tape that the company needs more =

120m - 100m = 20 m

5 0

3 years ago