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crimeas [40]
2 years ago
8

A pianist plans to play 5 pieces at a recital from her repertoire of 27 pieces. How many different recital programs are possible

?
Mathematics
1 answer:
IgorLugansk [536]2 years ago
6 0

The different recital programs that are possible is 80,730 ways

<h3>Combination and permutation</h3>

Permutation has to do with arrangement while combination has to do with the selection.

According to the question, a pianist plans to play 5 pieces at a recital from her repertoire of 27 pieces, this shows that he can select the 5 pieces in any form.

The number of ways this can be done is given as:
27C_5=\frac{27!}{(27-5)!5!}\\ 27C_5=80,730

Hence the different recital programs that are possible is 80,730 ways

Learn more on combination here: brainly.com/question/11732255

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Slope: 1/5 y-intercept: -7
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Answer:

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

Step-by-step explanation:

Let

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

1. The company used 100.5 liters of real fruit juice, then

2. Drink A:

x = amount of real fruit juice used

percentage of real fruit juice

Then

5x = amount of drink A produced

Drink B:

y = amount of real fruit juice used

percentage of real fruit juice

Then

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The company makes 30 more liters of Drink A than liters of Drink B, so

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6 0
3 years ago
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xxMikexx [17]

Answer:

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Step-by-step explanation:

Hope this helps!

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Follow the directions to solve the system of equations by elimination. 8x + 7y = 39 4x – 14y = –68 Multiply the first equation t
g100num [7]

Answer:

x=0.5 and y=5

Step-by-step explanation:

8x+7y=39...eqn(1)×-14

4x-14y=-68...eqn(2)×7

we now have,

-112x-98y=-546

-(28x-98y=-476)

-140x÷-140 =-70÷-140

x=0.5

to solve for y, we substitute (x=0.5) into eqn (1) or eqn 2 which ever you want...

so I'm using eqn 1.

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8(0.5)+7(5)=39

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