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BigorU [14]
3 years ago
13

Write the rule for the arithmetic sequence: 18, 20, 22, 24...

Mathematics
1 answer:
Westkost [7]3 years ago
5 0

+2

Hope this helps! ;)

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There are 486 hamsters at a private showing of a new documentary about humans. If there are 12 seats in each row, about how many
Citrus2011 [14]

Answer:

40 rows will hamsters fill

Step-by-step explanation:

As per the statement:

There are 486 hamsters at a private showing of a new documentary about humans.

⇒Total number of hamsters = 486

It is also given that there are 12 seats in each row.

then;

They will fill = \frac{486}{12} = 40.5

Therefore, the best estimate the rows will hamsters fill is 40 rows.

7 0
4 years ago
How to solve the new amount between $25 and 300%?
pav-90 [236]
Theres one way i know its to divide 25 into 300 and the answer is 12
6 0
3 years ago
A swim team must be chosen from 12 candidates. What is the greatest number of different 3-person teams that can be chosen?
grin007 [14]
<h3>Answer: 220 combinations</h3>

==========================================

Explanation:

We have 12*11*10 = 1320 permutations possible. This is where order matters. However, order does not matter with swim teams as there are no positions or ranks. All that matters is the group overall (rather than any individual in the group).

Consider the set {A,B,C}. We have 3*2*1 = 6 ways to arrange this set of letters. When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC. Therefore, we divide 1320 over 6 to get the final answer of 1320/6 = 220.

---------

You can use the combination formula with n = 12 and r = 3. Doing so will give the following:

_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{12} C _3 = \frac{12!}{3!*(12-3)!}\\\\_{12} C _3 = \frac{12!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10*9!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10}{3!}\\\\_{12} C _3 = \frac{12*11*10}{3*2*1}\\\\_{12} C _3 = \frac{1320}{6}\\\\_{12} C _3 = 220\\\\

As you can see, we get the same result and note how 1320/6 is also present as well.

8 0
4 years ago
Read 2 more answers
Two points have opposite x-coordinates and opposite y-coordinates. Which is a possible graph of these points?
Zarrin [17]

Answer: B. A coordinate plane with points in quadrants II and IV.

Step-by-step explanation:

Let's take the point (-1,1) as an example

The point itself is in the second quadrant

the opposite of the point is (1,-1)

This point is in the fourth quadrant

7 0
2 years ago
Read 2 more answers
How many 4-digits number can be formed out of 0,1,2,3,5,7 and 8. If:
Bad White [126]

Answer:

Below in bold.

Step-by-step explanation:

No repetition.

There are a total of 7 numbers.

For the number to be even it must end in 0,  2 or 8.

The other 3 numbers will be the number of permutations of 3 from  the 6 other numbers.

Number of 4 digit numbers ending in 0

= 6P3 = 6! / 6-3!

= 120.

Now the number could also end in 2 or 8,

so there are 3*120 = 360 4-digit even numbers (no repetition).

With repetition.

There are 3 * 7^3 = 1029  with repetition.

5 0
3 years ago
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