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Romashka [77]
3 years ago
12

Six friends together with their respective partners all meet up for a meal. To  commemorate the occasion, they arrange for a ph

otograph to be taken of all 12 of them  standing in a line.How many different arrangements are these if each friend is standing next to his or her partner?​
Mathematics
1 answer:
olasank [31]3 years ago
8 0

Answer:

1440 different arrangements are possible.

Step-by-step explanation:

Number of arrangements of n elements:

The number of arrangements of n elements is given by:

A_{n} = n!

In this question:

6 couples, in which each can be positioned in 2 ways(him/her or her/him). So

T = 2A_{6} = 2*6! = 1440

1440 different arrangements are possible.

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c=0.35m+9

$11.45

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3 years ago
Tickets to a school play are $4.50 for an adult and $3.00 for a student. If 300 tickets are sold and $1087.50 collected, how man
Kryger [21]

Answer:

<h2>125 tickets for an adult</h2><h2>and 175 tickets for a student</h2>

Step-by-step explanation:

a-\text{number of the tickets for an adult}\\s-\text{number of the tickets for a student}\\\\(1)\qquad a+s=300\\(2)\qquad4.5a+3s=1087.5\\------------\\(1)\\a+s=300\qquad\text{subtstitute}\ s\ \text{from both sides}\\a=300-s\\\\\text{Put it to (2):}\\\\4.5(300-s)+3s=1087.5\qquad\text{use distributive property}\\\\(4.5)(300)+(4.5)(-s)+3s=1087.5\\\\1350-4.5s+3s=1087.5\qquad\text{subtract 1350 from both sides}\\\\-1.5s=-262.5\qquad\text{divide both sides by (-1.5)}\\\\\boxed{s=175}

\text{Put the value of}\ s\ \text{to (1):}\\\\a=300-175\\\\\boxed{a=125}

3 0
3 years ago
Describe one error that was made in the preparation of the
pashok25 [27]

Answer:

  the axis labels are inconsistent with the graph title

Step-by-step explanation:

The independent variable is described as "% protein digested", and the dependent variable is described as "time." The graphed values suggest that these are reasonable descriptors for the data being plotted.

The title, however, says the data points are "percentage digestion per hour". This is in disagreement with the axis labels, and is inconsistent with the shape of the curve. (If the title is to be believed, the digestion rate is such that more than 100% of <whatever> has been digested after 10 hours.)

__

<em>Additional comment</em>

Another error is the vertical axis is graduated as though it were linear, but it is decidedly non-linear. Equivalent distances on the graph are shown for differences of 10%, 5%, 10% and 25%. That is the scale varies by a factor of 5 from one part of the graph to another.

8 0
2 years ago
I need to simplify -3ab(a-5b)+2(a-4)+5
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Nlaleicodklqjdixkzkxknc uv
6 0
3 years ago
Below is the graph of y=b^x. Find b.
omeli [17]
Y = <span>b^x

when x = 1
y = b^1
y  = b

Therefore, the value of b is the same as the value of y when x =1
From the graph,
When x = 1, y = 0.5
Therefore, b = 0.5


To confirm this

From the graph,

When x = -1, y = 2
Since </span>y = b^x<span>
2 = </span>b^-1
2 = 1/b
2b = 1
b = 0.5

When x = -2, y = 4
Since y = b^x
4 = b^-2
4 = 1/(b^2)
b^2 = 1/4
b = √(1/4)
b = 1/2
b = 0.5

Therefore, it is conformed that b = 0.5

5 0
2 years ago
Read 2 more answers
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