The length of the walk-in closet is 2 more than 5 times its width. If the perimeter of thecloset is 64 feet, what is its width?

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Answer 1
Answer:

Answer:

the answer is 448

Step-by-step explanation:


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A certain committee consists of 17 people. From the committee, a president, a vice-president, and a treasurer are to be chosen. In how many ways can these 3 offices be filled? Assume that a committee member can hold at most one of these offices.

Answers

There are 4080 ways in which these 3 offices be filled.

Step-by-step explanation:

Here, the total number of candidates present in the committee  = 17

The posts for which people are to be elected are:

President, Vice -President and Treasurer  = 3 posts

Now, selecting a person for the post of president has total 17 ways.

⇒ The number of ways a president can be chosen = 17 ways

As, one person cannot hold 2 positions.

So, now the total candidates  = 17 - 1  = 16 people

⇒Selecting a person for the post of Vice -President has total 16 ways.

⇒ The number of ways a vice president can be chosen = 16 ways

Similarly, the number of ways a  Treasurer can be chosen = 15 ways

Combining the three ways, we get:

the number of ways President, Vice -President and Treasurer can be chosen   = 17 x 16 x 15  =  4080 ways

Hence, there are 4080 ways in which these 3 offices be filled.

Find the scale factor

Answers

The scale factor is 4!

Circle the correct term that makes the sentence true. The (greatest, least) of common factors of two or more numbers is the (greatest, least) common factor of the numbers.

Answers

The least of the common factors of two or more numbers is the least common factor of the numbers.

Answer:

The least of the common factors of two or more numbers is the least common factor of the numbers.

Step-by-step explanation:

One of the characteristics of legal English is _____.the formulation of hypotheses
the inverted funnel format
a stanza form
archaic English words

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One of the characteristics of legal English is archaic English words.
Usually, in legal texts you would use words that aren't normally used in everyday speech, in order to show the importance and formality of that document. 
The best answer to the incomplete statement above would be the third statement. The phrase 'the inverted funnel formatis one of the characteristics of legal English. This format is used in legal documents, in business, and as well as in the medical profession by doctors

6 children need to share 5 breakfast bars Divide bars into correct numbers of equal parts then tell the fraction each kid will get

Answers


-- Carefully cut each bar into  6  equal pieces.
   There are  (5 x 6) = 30 pieces all together.
   Each piece is  1/6  of a bar.

-- Each child gets  5  of the pieces.
   That's the same as  5/6  of a whole bar.
   (6 children) x (5 pieces) = 30 pieces.    It works out.  yay !


A pizza is divided into 12 equal slice.4 slices have mushrooms only.
2 slices have mushrooms and pepperoni.
6 slices have pepperoni only.
write two equivalent fractions to describe the parts of the pizza with 
mushrooms only : ____________ and _________
pepperoni only : ___________ and _________
mushrooms and pepperoni : ____________ and ______________ .

Answers

The equivalent fractions for only mushroom, only pepperoni and mushrooms and pepperoni are given as  1/3, 2/6, 1/2, 2/4, 1/6, 2/12 respectively.

What is a fraction?

A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.

The number a is called as the numerator and b is the denominator.

The given problem can be solved as follows,

(a) The fraction to represent only mushrooms is given as below,

The number of mushroom slices ÷ Total number of slice

⇒ 4 ÷ 12

⇒ 1/3

Multiply numerator and denominator by 2 to get equivalent fraction as2/6

(b) The fraction to represent only pepperoni is given as below,

The number of pepperoni slices ÷ Total number of slice

6 ÷ 12

⇒ 1/2

Multiply numerator and denominator by 2 to get equivalent fraction as 2/4.

(c) The fraction to represent only mushrooms and pepperoni is given as below,

The number of mushrooms and pepperoni slices ÷ Total number of slice

⇒ 2 ÷ 12

⇒ 1/6

Multiply numerator and denominator by 2 to get equivalent fraction as 2/12.

Hence, the required fractions for the given case are 1/3, 2/6, 1/2, 2/4, 1/6, 2/12 respectively.

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Mushroom only: 4/12 and 1/3
Pepperoni only:6/12 and 2/4
Both mushroom and pepperoni: 2/12 and 1/6