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cupoosta [38]
3 years ago
7

Six students are being grouped into three pairs to work on a science lab. how many different combinations of three pairs are pos

sible
Mathematics
1 answer:
pychu [463]3 years ago
4 0

We want to select 3 pairs of people from a group of 6.

We use the formula:

n! / (r! * (n -r)!)

where n = 6 and r = 2

combinations = 6! / (2! * 4!) =

combinations = 6 * 5 / 2

combinations = 15


Source:

1728.com/combinat.htm




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Jan spends part of her year as a member of a gym. She then finds a better deal at another gym, so she cancels her membership wit
valkas [14]

She spent 8 months in the 1st gym and 4 months in the 2nd gym

Step-by-step explanation:

Jan spends part of her year as a member of a gym.

  • She then finds a better deal at another gym so she cancels her membership with the first gym after x months
  • She spends the rest of the year, y months, with the second gym
  • The membership to the first gym costs $75 per month, while the membership for the second gym costs $45 per month
  • She ended up spending a total of $780 over the course of the year

We need to find how much time she spent at each gym

∵ She spent x months in the 1st gym

∵ She spent y months in the 2nd gym

∵ Her course is a year

- There are 12 months in a year

∴ x + y = 12 ⇒ (1)

∵ The membership to the first gym costs $75 per month

∵ The membership to the second gym costs $45 per month

∵ She ended up spending a total of $780 over the course

∴ 75x + 45y = 780 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -45 to eliminate y

∵ -45x - 45y = -540 ⇒ (3)

- Add equations (2) and (3)

∴ 30x = 240

- Divide both sides by 30

∴ x = 8

- Substitute the value of x in equation (1) to find y

∵ 8 + y = 12

- Subtract 8 from both sides

∴ y = 4

She spent 8 months in the 1st gym and 4 months in the 2nd gym

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

4 0
3 years ago
A town has a population of 13,000 and grows at 5% every year. What will be the population after 11 years to the nearest whole nu
timofeeve [1]

Answer:

So all you need to do is find 5% of 13000 which is 650.

Now 650 times 11= 7150

13000+ 7150=

20,150

6 0
3 years ago
Read 2 more answers
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
andre [41]

Answer:

Option A is correct.

Step-by-step explanation:

If Δ YES ∼ Δ NOT, then it means that ΔYES and ΔNOT are similar triangles.

The similar triangles means that all the corresponding angles of the two triangles are same i.e. ∠ Y = ∠ N, ∠ E = ∠ O and ∠ S = ∠ T

Therefore, according to the property of similar triangles we can write that

\frac{NO}{YE} = \frac{OT}{ES}  = \frac{NT}{YS}.

Therefore, option A is correct.

8 0
3 years ago
What is the sum of 4z -5y + z + y? Represent the sum by beginning with the z term of your sum. DO NOT INCLUDE SPACES.​
docker41 [41]

Answer:

-4y+5z

Step-by-step explanation:

8 0
2 years ago
Express ( x + 4 )∧2 as a trinomial in standard form.
mamaluj [8]

Answer: x²+8x+16

Step-by-step explanation:

(x+4)^2=(x+4)(x+4)

Now use distributive property to expand (x+4)(x+4):

(x+4)(x+4)=x²+4x+4x+4(4)

x²+4x+4x+4(4)=x²+8x+16

8 0
3 years ago
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