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Arturiano [62]
2 years ago
6

A committee must be formed with 4 teachers and 5 students. If there are 7 teachers to choose from, and 15 students, how many dif

ferent ways could the committee be made?
Mathematics
2 answers:
nikitadnepr [17]2 years ago
6 0

Answer:

Step-by-step explanation:

There are a total of 10 persons (6 teachers + 4 students) from which a committee of 5 is to be formed. This can be done in 10C5 ways.

The number of ways that a committee can be formed with no students in it is to select 5 teachers out of the pool of 6 teachers available. This can be done in 6C5 ways.

Therefore the total number of ways that the committee can be formed with at least one student in it is 10C5 - 6C5.

10C5 = 252

6C5 = 6

Therefore the required number of ways = 246

sleet_krkn [62]2 years ago
5 0
Mulitply

C(6,4)*C(12,4)

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Last year Marta invested money in two accounts. The first account had an interest rate of 3% and the second account had an inter
KatRina [158]

The amount invested in the first account is $9,300 while the amount invested in the second account is $8,800.

<h3>How do we calculate the amount invested?</h3>

Let x represents the amount invested in the first account.

Therefore, we have:

Amount invested in the second account = x - 500

Interest income from first account = 3% * x = 0.03x

Interest income from second account = 5% * (x - 500) = 0.05x - 25

Total interest income = 0.03x + 0.05x - 25 = 719

Solving for x, we have:

0.08x = 719 + 25

x = 744 / 0.08

x = $9,300

Substituting for x, we have:

Amount invested in the second account = $9,300 - $500 = $8,800

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3 0
2 years ago
Hasil dari 37²-√576:√144 adalah
valina [46]

Answer:

<em>Answer is</em><em> </em><em>1345</em><em>:</em><em>12</em>

Step-by-step explanation:

{37  }^{2}  -  \sqrt{576}  =  {37}^{2}  - 24 \\  = 1345 \\  {37}^{2}  -  \sqrt{576} : \sqrt{144}  = 1345:12

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

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In 56 years, Kevin will be 9 times as he is right now. How old is he right now?
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Find two numbers if their ratio is 4:7 and their difference is 123.
belka [17]

Answer:

The two numbers are -164 and -287

They could also be 164 and 287

Step-by-step explanation:

The ratio of 2 numbers 4/7  

x/y = 4/7

Using cross products

7x =4y

Their difference is 123

x-y = 123

x = 123+y

Substituting in

7(123+y) =4y

Distribute

861 +7y = 4y

Subtract 7y from each side

861 +7y-7y = 4y-7y

861 = -3y

Divide each side by -3

861/-3 = -3y/-3

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Now we need to find x

x = 123+y

x = 123+ -287

x = -164


The numbers could also be 164 and 287

The difference is 287-164 = 123

And the ratio is 164/287 = 4/7

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