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Masteriza [31]
3 years ago
9

There are seven members of a jazz club who are listed below. A concert director can choose some or all of them to be part of a l

arge show. He must choose at
least one of them
Carol, Felix, Gina, Joe, Kate, Noe, Rose
In how many different ways can the director choose the members for the show? (The order the members are chosen doesn't matter.)
Mathematics
1 answer:
balu736 [363]3 years ago
4 0
The concert director can choose the new members by holding try outs to take the the possible candidate’s skills, performance and professionalism into consideration to be a part of the large show. Another way is by voting amongst other people in their school to see who the audience would be excited to see preforming in the show.
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Mo has some sweets. He shares them out between x of his friends in 2 different wys. 7 sweets each with 2 leftover or 6 sweets ea
sveticcg [70]

Answer:

Mo is sharing the sweets between 5 friends

Step-by-step explanation:

An important thing to note is that whichever way Mo shares the sweets, the total number of sweets he has does not change. It means that if he chooses the first method to share the sweets, or the second method, he still has the same number of sweets. This will be helpful in setting up an equation that will help us solve the problem.

If he chooses the first way to share the sweets:

7x + 2 = total number of sweets available.

<em>This is because each of his friends gets 7 sweets each, with 2 leftovers. If we add them up, it will give the total number of sweets available to be shared.</em>

<em />

If he chooses the second way to share the sweets:

6x + 7 = total number of sweets available.

<em>This is because each of his friends gets 6 sweets each, with 7 leftovers. If we add them up, it will give the total number of sweets available to be shared.</em>

<em />

because the total number of sweets do not change, we have

7x +2 = 6x +7

Grouping like terms,

7x - 6x = 7 - 2

x = 5.

Therefore, Mo is sharing the sweets between 5 friends

7 0
3 years ago
Solve the two step equations
disa [49]

Hello!

1) -3x - 4 = 23

-3x = 23 + 4

-3x = 27

x = 27 : (-3)

x = -9

2) x/2 - 12 = -4

x - 24 = -8

x = -8 + 24

x = 16

3) 6a + (-1) = 10

6a - 1 = 10

6a = 10 + 1

6a = 11

a = 11 : 6

a = 11/6

4) -(x + 2) = 12

x + 2 = -12

x = -12 - 2

x = -14

5) 7a + 12 = 10

7a = 10 - 12

7a = -2

a = -2 : 7

a = -2/7

6) -4(a + 2) = 12

a + 2 = -3

a = -3 - 2

a = -5

Good luck! :)

7 0
3 years ago
After a 60% reduction you purchase a new sofa on sale for 224.what is the original price of the sofa
zhenek [66]

Step-by-step explanation:

after 60% reduction he paid 40% of its price=224

\frac{40}{100}  =  \frac{224}{?}

224×100=40×?

?=560

6 0
3 years ago
PLEASE HURRY<br><br> What is 7 7/15 as a decimal?
N76 [4]

Answer:

7/15 is 0.4667 in decimal form

Step-by-step explanation:

5 0
3 years ago
Help plz need today will help boost you
evablogger [386]

Answer:

for question 9, the answer is c

because the numerator and denominator are of the same

I would appreciate if my answer is chosen as a brainliest answer

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3 years ago
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