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Mathematics

2 answers:

alexandr402 [8]3 years ago

8 0

Answer:

The first one is supplementary

The second one is complementary

The third one is vertical

Step-by-step explanation:

Fed [463]3 years ago

6 0

Answer:

First answer is supplementary.

second answer is complementary.

Third answer is Vertical.

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12. Ms. Smith keeps eight different cookbooks on a shelf in one of her kitchen cabinets. How many ways can the eight cookbooks b

Ghella [55]

Answer:

The number of ways are 40320.

Step-by-step explanation:

Consider the provided information.

Ms. Smith keeps eight different cookbooks on a shelf in one of her kitchen cabinets.

We need to determine the number of different ways to put eight cookbooks on the shelf.

We need to select 8 cookbooks taking 8 at a time.

So use the permutation formula: $^{n}P_{n}$

Substitute n=8 and simplify.

$^8P_8=\frac{8!}{(8-8)!}\\8!=40320$

Hence, the number of ways are 40320.

6 0

3 years ago

When three pipes fill a pool, they can finish in 12 hours. Two of the pipes can finish in 18 hours if they are working together.

ladessa [460]

3 pipes take 12 hours
⇒ In 1 hour, the 3 pipes can fill 1/12 of the pool

2 of the pipes take 18 hours
⇒ in 1 hour, the 2 pipes can fill 1/18 of the pool

In 1 hour, the third pipe alone can fill :

$\dfrac{1}{12} - \dfrac{1}{18} = \dfrac{3}{36} - \dfrac{2}{36} = \dfrac{1}{36} \text { of the pool}$

Time needed :

$1 \div \dfrac{1}{36} = 1 \times 36 = 36 \text { hours}$

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Answer: It will take 36 hours for the third pipe to fill the pool.
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5 0

3 years ago

Read 2 more answers

5/6-1/9=?/?-?/? =13/18

daser333 [38]

15/18 - 2/18 = 13/18

Find the least common multiple of 6 and 9. The LCM is 18. In order to get 18 on the denominator with 6, you have to multiply by 3 because 6 times 3 is 18. You have to multiply 3 to the numerator, so 5 times 3 is 15. Thus, the first fraction is 15/18. To get the second, you need to find what would get you 18 on the denominator with 9. You need 2, so 9 times 2 is 18. You have to multiply 2 to the numerator, so 1 times 2 is 2. Thus, the second fraction is 2/18.