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Dmitrij [34]
3 years ago
6

What is the answer to this 3(k−6)=15

Mathematics
1 answer:
Alchen [17]3 years ago
5 0

Answer:

11

Step-by-step explanation:

First distribute the 3 to both the numbers inside of the parentheses:

3(k)-3(6)=15

3k-18=15

Add 18 to both sides

3k=33

Divide 3 from both sides to isolate k

k=11

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Answer:

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Step-by-step explanation:

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3 years ago
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In how many ways can a subcommittee of 6 students be chosen from a committee which consists of 10 senior members and 12 junior m
givi [52]

Answer:

The number of ways is 13860 ways

Step-by-step explanation:

Given

Senior Members = 10

Junior Members = 12

Required

Number of ways of selecting 6 students students

The question lay emphasis on the keyword selection; this implies combination

From the question, we understand that

<em>4 students are to be selected from senior members while 2 from junior members;</em>

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<em>Ways = Ways of Selecting Senior Members * Ways of Selecting Junior Members</em>

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Ways = \frac{10!}{(10-4)!4!)} * \frac{12!}{(12-2)!2!)}

Ways = \frac{10!}{(6)!4!)} * \frac{12!}{(10)!2!)}

Ways = \frac{10 * 9 * 8 * 7 *6!}{(6! * 4*3*2*1)} * \frac{12*11*10!}{(10!*2*1)}

Ways = \frac{10 * 9 * 8 * 7}{4*3*2*1} * \frac{12*11}{2*1}

Ways = \frac{5040}{24} * \frac{132}{2}

Ways = 210 * 66

Ways = 13860

<em>Hence, the number of ways is 13860 ways</em>

7 0
3 years ago
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4 years ago
the diagram shows a star made by surrounding regular octagon with triangle. explain why angle A must be 135 degrees
tatiyna

straight line is 180

180 - 45 = 135

8 0
2 years ago
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