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Alexandra [31]
3 years ago
11

In how many ways can you choose 2 side dishes out of 8

Mathematics
2 answers:
Citrus2011 [14]3 years ago
5 0
I'm about 75% confident in my answer. Saying that, I mean that i'm not always right. I think it's 73
Alina [70]3 years ago
4 0
The first choice can be any one of the 8 side dishes.
               For each of these . . .
The 2nd choice can be any one of the remaining 7.

     Total number of ways to pick 2 out of 8 = (8 x 7) = 56 ways .

BUT ...

That doesn't mean you can get 56 different sets of 2 side dishes.

For each different pair, there are 2 ways to choose them . . .
(first A then B), and (first B then A).  Either way, you wind up with (A and B).

So yes, there are 56 different 'WAYS' to choose 2 out of 8.
But there are only 28 different possible results, and 2 'ways'
to get each result.
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20) -5(1 - 5x) +5(-8x - 2) = -4x – 8x
Alchen [17]

Answer:

x = -5

Step-by-step explanation:

-5(1 - 5x) +5(-8x - 2) = -4x – 8x

First lets simplify each side of the equation.

-5+25x-40x-10 = -4x-8x

Combine like terms

-15x-15=-12x

Add 15x to both sides (addition property of equality)

-15=3x

Divide each side by 3 (division property of equality)

x=-5

The answer is x = -5

5 0
3 years ago
ABCD is a quadrilateral inscribed in a circle, as shown below:
german

Answer:

  • A. (x + 16) + (6x − 4) = 180

Step-by-step explanation:

Inscribed quadrilateral has opposite angles supplementary.

<u>So</u>

  • m∠A + m∠C = 180°

or

  • m∠B + m∠D = 180°.

<u>Since</u>

  • m∠A = x + 16,
  • m∠B = x,
  • m∠C = 6x - 4,
  • m∠D = 2x + 16

we can use either pair of angle measures to work out the value of x and then find the value of each angle.

<u>We can verify the first option is the only correct one.</u>

  • m∠A + m∠C = 180°
  • (x + 16) + (6x − 4) = 180
3 0
3 years ago
A certain pipe can be used to fill a pool with water in 2 hours. A second pipe can be used to fill the pool in 4 hours. How long
Kryger [21]

Answer:

1 1/3 hours

Step-by-step explanation:

Pipe 1 alone:

fills the pool in 2 hours

in 1 hour, it fills 1/2 of the pool

Pipe 2 alone:

fills the pool in 4 hours

in 1 hour, it fills 1/4 of the pool

Pipe 1 and Pipe 2 working together:

fill the pool in x hours

in 1 hour, they fill 1/x of the pool

Working together, in 1 hour the two pipes fill 1/2 + 1/4 of the pool.

Working together, in 1 hour the two pipes fill 1/x of the pool.

Therefore,

1/2 + 1/4 = 1/x

2/4 + 1/4 = 1/x

3/4 = 1/x

x = 4/3

x = 1 1/3

Answer: 1 1/3 hours

6 0
3 years ago
I am only in my first year of 12th grade.
pickupchik [31]

Answer:

x=1

Step-by-step explanation:

the line is one unit up from the x axis

8 0
3 years ago
Why might you want to use the comunitive property to change the order of the integers in the followng sum before adding?
Jlenok [28]
-80-173-20=-273 there
4 0
3 years ago
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