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olga55 [171]
2 years ago
6

The library has 27 chairs and 5 tables. If the same number of chairs is placed at each tables, how many chairs can be placed eac

h table? Will there be any extra chairs? If so, how many?
Mathematics
1 answer:
Alik [6]2 years ago
6 0

Answer:5

Step-by-step explanation:

27 chairs

5 tables

27/5

=5.4

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find two positive even consecutive integers such that a square of the smaller integer is 10 more than the larger integer
nalin [4]

Answer:

the two positive consecutive integers are 4 and 6.

Step-by-step explanation:

Let the smaller integer be s; then s^2 = (s + 2) + 10.

Simplifying, s^2 - s - 2 - 10 = 0, or

s^2 - s - 12 = 0.

Solve this by factoring:  (s - 4)(s + 3) = 0.

Then s = 4 and s = -3.

If the first even integer is 4, the next is 6.  We omit s = -3 because it's not even.

The smaller integer is 4.  Does this satisfy the equation s^2 = (s + 2) + 10?

4^2 = (4 + 2) + 10  True or False?

16 = 6 + 10 = 16.

True.

So the two positive consecutive integers are 4 and 6.

6 0
3 years ago
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gtnhenbr [62]
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Answer:

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Answer: Answer #1

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