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Sveta_85 [38]
3 years ago
9

How many different ways can a family visit Philadelphia, Baltimore, and Washington? 3 6 12

Mathematics
2 answers:
Fiesta28 [93]3 years ago
7 0

Answer:

Answer is 6 ways

Step-by-step explanation:

Given that a family wants to visit three different places as Philadelphia, Baltimore, and Washington.

We have to find the number of ways these three can be visited.

Here this is a question of permutation since order matters.

There are 3 cities and these can be visited in 3P3 ways =3!

=3x2x1 =6 ways

There are in total 6 different ways that the family can visit three different places as Philadelphia, Baltimore, and Washington.

riadik2000 [5.3K]3 years ago
6 0
This is a problem regarding permutation. 

     P\left(3,3\right)=3!=3\times 2\times 1=6

There are 6 different ways. 
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Day 2- Real World- Midpoint
nevsk [136]

Answer:

Point of the flower garden  R ( 11, 44 )

Step-by-step explanation:

Let´s call   P (  3, 14 ) The center of the herb garden, and Q ( 7 , 29 ) the birdbath point

Differences in coordinates of these two points are:

x axis        7 - 3   = 4

y axis     29 - 14  = 15

Then the point Q ( x , y ) will be at:  Q ( 11, 44)

x axis    x = 11 because    7 + 4 = 11 means that the coordinate 7 is just halfway way between coordinates (x)  3 and 11  ( 4 above 3, and 4 below 11)

Reasoning the same way we conclude y = 44 in this case 29 is just halfway between coordinates  (y) 14 and 44 ( 15 above 14 and 15 below 44)

We can probe getting distance d₁  between P and Q  and d₂ distance between Q and R as:

d₁ = √ (7-3)² + ( 29-14)²

d₁ = √ 16 + 225

d₂ = √ (11 - 7)² +  ( 44 - 29)²

d₂ = √ 16 + 225

3 0
3 years ago
If I bought shoes for 32.30 with 15% off 7%sales tax a 25dollar gift card but had a coupon that was forgotten for 5%off the orig
Otrada [13]

Answer:

 $4.37 cash outlay

 $29.37 total amount paid, partly with gift card

Step-by-step explanation:

The discount was ...

  0.15 × $32.30 = $4.845 ≈ $4.85

So the price to which tax is added is ...

  $32.30 -4.85 = $27.45

The amount of tax is 7% of this value, or ...

  tax = $27.45 × 0.07 = $1.9215 ≈ $1.92

So, payment is made on the amount ...

  $27.45 + 1.92 = $29.37

$29.37 is the total amount paid.

If $25 is paid using a gift card, then the cash outlay is $4.37.

_____

Usually only a single coupon can be applied to a given purchase. Since the 15% store discount exceeds the amount of the 5% coupon left at home, it makes more sense to claim the 15% store discount and save the 5% coupon for another time.

__

<em>Alternate interpretation</em>

If, by some magic, both discounts could be applied, then the amount to be paid is $27.65, of which $2.65 exceeds the gift card amount. The calculation proceeds the same way, except that 20% is used instead of 15%.

4 0
3 years ago
The times of 4 boys in a 4 X 100 metres relay race were:
valina [46]
Walter I believe is the correct answer
3 0
2 years ago
The odds in favor of a spinner landing on blue is 2:7. What is the probability of a spinner NOT landing on blue?
Doss [256]

Answer:

7/9

Step-by-step explanation:

P(blue) = 2:7

This means there are 2 blue parts for every 7 nonblue parts. So 9 parts total! 2:7, then, should be thought of as 2/9.

P(not blue) = 1 - 2/9

                  = 7/9

Think about it: there must be a total probability of 1, so the probability of <em>not</em> getting blue must be 7/9.

3 0
3 years ago
bob and mark talk about their families. bob says he has 3 kids, the product of their ages is 72. Mark points out that there is s
Sonbull [250]
Given:
3 kids
72 is the product of their ages.
There is a youngest child.

This means that all three are of different ages. We need to factor 72 into 3 integers.
Let us use prime factorization:

72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
  9 ÷ 3 = 3

Prime factors are: 2 x 2 x 2 x 3 x 3    OR 2³ x 3²

3 ages.

eldest      = 3³ = 9
middle     = 2² = 4
youngest  = 2¹ = 2

2 x 4 = 8
8 x 9 = 72
8 0
3 years ago
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