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GenaCL600 [577]
2 years ago
9

a classical music concert is to constist of 3 cello pieces, 3 choral works, and 3 pieces for piano. In how many ways can the pro

gram be arranged if a piano piece must come first
Mathematics
1 answer:
elena55 [62]2 years ago
6 0

Answer:

120,960 ways

Step-by-step explanation:

Assuming that each piece is unique, then the order of each piece matters.

There are 9 pieces in total, there are 3 options for the first piece (3 piano pieces), and the remaining 8 pieces can be permuted. The number of possible arrangements is:

n=3*\frac{8!}{(8-8)!}\\ n=3*8*7*6*5*4*3*2*1\\n=120,960\ ways

The program can be arranged in 120,960 ways.

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The value of a professional basketball player's autograph rose 20% in the last year. It is now worth $288.00. What was it worth
Murrr4er [49]

Answer:

$230.4isbthe value worth last year

5 0
2 years ago
Given the system of equations, what is the solution? <br><br> x + 2y = 11 <br> x - 2y = -1
zhenek [66]

We need to solve x+2y=11 for x

Let's start by adding -2y to both sides

x+2y -2y = 11-2y

x= -2y+11

Now substitute -2y+11 for x in x-2y =-1

x-2y=-1

-2y+11-2y=-1

-4y+11=-1

Add -11 to both sides

-4y+11-11=-1-11

-4y=-12

Divide both sides by -4

-4y/-4 = -12/-4

y= 3

Substitute 3 for y in x=-2y+11

x= -2y+11

x = (-2)(3)+11

x=-6+11

x=5


The answer is x=5 and y=3

(5,3)


I hope that's help:)



4 0
3 years ago
Two airplanes leave the same airport. One heads north, and the other heads east. After some time, the northbound airplane has tr
Fofino [41]

Answer:

17 miles

Step-by-step explanation:

85 - 68

17

7 0
2 years ago
There are 300 students. for every 8 are boys, and for every seven are girls. how many boys?
katen-ka-za [31]
8+7=15
300/15=20
8 x 20 =160 Boys
7 x 20 = 140 girls

140 + 160 = 300

Hope this helps!

4 0
3 years ago
Maggie's brother is 11 years younger than three times her age. The sum of their ages is 41.
brilliants [131]

Answer:

Maggie is 13 years old.

Step-by-step explanation:

The explanation is attached.

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2 years ago
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