How many different ways can 12 people line up to go to the same bathroom

Answers

Answer 1

Answer: There are 12! ways to line 12 people up. That is 12 factorial (the name for the exclamation point
12! means 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

Using a scientific calculator to compute 12!, we get 479,001,600 ways to line up 12 people. I know it sounds amazing but here is a chart.

People Ways

3 6
4 24 (Notice that if you multiply 6 x 4 you get 24)
5 120 (Notice that if you muliply 24 x 5 you get 120 etc.)
6 720
7 5040
8 40,320
9 362,880
10 3,628,880
11 39,916,800
12 479,001,600

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34 is a multiple of 4.
true or false?

Answers

False

Multiples of 4:

4,8,12,16,20,24,28,32,36

Determine the theorem that justifies each if-then statement.Theorems:
• Corresponding Angles Theorem

• Corresponding Angles Converse Theorem

• Same-Side Interior Angles Theorem

• Same-Side Interior Angles Converse Theorem

• Alternate Interior Angles Theorem

• Alternate Interior Angles Converse Theorem

• Same-Side Exterior Angles Theorem

• Same-Side Exterior Angles Converse Theorem

• Alternate Exterior Angles Theorem

• Alternate Exterior Angles Converse Theorem

• Perpendicular/Parallel Line Theorem

Answers

Answer:

1a Alternate exterior angles theorem

1b Alternate interior angles theorem

1c Alternate interior angles converse theorem

1d Corresponding angles theorem

1e Same-side interior angles theorem

1f Same-side exterior angles theorem

1g Same-side interior angles converse theorem

Step-by-step explanation:

Look at the given angles and see what they are: interior, exterior, alternate, same side, etc.

If the lines are given as parallel, use the theorem.

If you show the lines are parallel, use the converse.

1a Alternate exterior angles theorem

1b Alternate interior angles theorem

1c Alternate interior angles converse theorem

1d Corresponding angles theorem

1e Same-side interior angles theorem

1f Same-side exterior angles theorem

1g Same-side interior angles converse theorem

THERE'S TOO MUCH CATFISHES ON THIS SITE

Answers

Answer:

what do you mean by that?

Step-by-step explanation:

A quarterly telephone bill consist of N$79.15 rental plus 4.7 cents for each dialled unit. Sales tax is added at 15%. What is the total bill for Mrs. Jones who used 915 dialled units?

Answers

Answer:

$140.48

Step-by-step explanation:

Let x represent dialed units.

We have been given that a quarterly telephone bill consist of $79.15 rental plus 4.7 cents for each dialed unit.

4.7 cents = $0.047

Cost of dialing x units would be $0.047x$ .

Total cost of dialing x units would be $0.047x+79.15$ .

Let us find cost of dialing 915 units by substituting $x=915$ in above expression.

$0.047(915)+79.15$

$43.005+79.15$

$122.155$

Now, we will find 15% of sales tax as:

$122.155* (15)/(100)$

$122.155* 0.15$

$18.32325$

Total bill: $18.32325+122.155=140.47825\approx 140.48$

Therefore, Mrs. Jonas's bill would be $140.48.

$4.7 × 915 = 4300.5
$4300.5 + 79.15 = 4379.65
15% of 4379.65 = 656.9475
4379.65 + 656.9745 = 5036.6245
Mrs. Jones' Bill was $5036.63
(Rounded to the nearest 1/10)

What is the nth term of the geometric sequence that has a common ratio of 6 and 24 as its third term?

Answers

an=a1(r)^(n-1) is it

common ratio is r
24 is 3rd term
a3=a1(6)^(3-1)=24
a1(6)^2=24
a1(36)=24
divide boh sides by 36
a1=2/3

therefor
$a_(n)=a_(1)(6)^(n-1)$

The price of a silk scarf is $32. The sales tax is $1.92. What is the sales-tax rate?