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2 years ago

If the Math Olympiad Club consists of 13 students, how many different teams of 5 students can be formed for competitions?

Mathematics

1 answer:

rjkz [21]2 years ago

4 0

Answer:

2 teams

Step-by-step explanation:

13 divided by 5 is 2.6, but you cannot split a person in half, so it would be two teams with a remainder of three people.

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What are the next three terms in the pattern 2, 6, 18, 54, ...?

castortr0y [4]

Answer:

OPTION B: 162, 486, 1458

Step-by-step explanation:

The given sequence is 2, 6, 18, 54, . . .

It is a geometric sequence and the common difference is 3.

The general form of a geometric sequence is: a, ar, ar², ar³, . . .

Here a = 2 and r = 3.

$n^{th}$ term of a Geometric progression is $ar^{n - 1}$ .

Note that the fourth term is 54.

i.e., $ar^3 = 54$

$\implies ar^4 = ar^3 . r = 54 . 3 = 162$ .

Similarly, $ar^6 = 162 \times 3 = 486$ .

Also, $ar^7 = ar^6 . r = 486 \times 3 = 1458$ .

Hence, OPTION B is the answer.

8 0

2 years ago

Read 2 more answers

Rusty's hair grows at the rate of 1 over 4 inches per month.

vichka [17]

1/4 = 2/8. Remember that. This means that 1/8 is equal to half of a month. It there is 5/8, you can add a half month for every eight. In this case, it will take 2 and a half months

Hope this helped!!!!

4 0

3 years ago

Read 2 more answers

A ladder is leaning against a wall. The top of the ladder is 9 feet (ft) above the ground. If the bottom of the ladder is moved

Komok [63]

Step 1

First situation

when a ladder is leaning against a wall

Let

x-------> the distance of the bottom of the ladder from the wall

L-------> the length of the ladder

Find the length of the ladder

Applying the Pythagorean Theorem

$L^{2} =x^{2}+ 9^{2}$ ------> equation $1$

Step 2

Second situation

when the ladder will be lying flat on the ground

Find the length of the ladder

In this situation the length of the ladder is equal to

$L=x+3$

square both sides

$L^{2}=(x+3)^{2}$ ------> equation $2$

Step 3

equate equation $1$ and equation $2$

$x^{2}+ 9^{2}=(x+3)^{2}\\x^{2}+81=x^{2} +6x+9\\ 6x=81-9\\6x=72\\x=12\ ft$

therefore

the answer is

the length of the ladder is $12\ ft$

see the attached figure to better understand the problem

5 0

3 years ago

Which is the heaviest, and why?

Andrei [34K]

Answer:you

Step-by-step explanation:

6 0

3 years ago

A chemical company makes up batches of copper sulfate solution by adding 250 kg of copper sulfate powder to 1000 liters of water

shepuryov [24]

Answer:

0.07 kg

Step-by-step explanation:

Assuming copper sulfate has same density as water

Chemical to water ratio as per given is:

250 kg : 1000 liter = 1 kg : 4 liter

Lab solution is 350 ml

Converting to same ratio as above:

350/(1 + 4) = 70 ml

70 ml : 280 ml = 70 g : 180 ml = 0.07 kg : 180 ml

Answer is 0.07 kg

4 0

2 years ago