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3 years ago

A minibus drives 101 km in 1 hour. What is its average speed in kilometers per hour?

Mathematics

1 answer:

tekilochka [14]3 years ago

4 0

Answer:

Step-by-step explanation:

Average speed is distance divided by time.

s=(101km)/(1hr)

s=101 km/hr

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3) The ratio between the number of

salantis [7]

Answer:

Step-by-step explanation:

70÷14=5

5×3=15

So the ratio would be 70:15 which can be simplified to 14:3

5 0

2 years ago

2. In how many ways can 3 different novels, 2 different mathematics books and 5 different chemistry books be arranged on a books

insens350 [35]

The number of ways of the books can be arranged are illustrations of permutations.

When the books are arranged in any order, the number of arrangements is 3628800
When the mathematics book must not be together, the number of arrangements is 2903040
When the novels must be together, and the chemistry books must be together, the number of arrangements is 17280
When the mathematics books must be together, and the novels must not be together, the number of arrangements is 302400

The given parameters are:

$\mathbf{Novels = 3}$

$\mathbf{Mathematics = 2}$

$\mathbf{Chemistry = 5}$

(a) The books in any order

First, we calculate the total number of books

$\mathbf{n = Novels + Mathematics + Chemistry}$

$\mathbf{n = 3 + 2 + 5}$

$\mathbf{n = 10}$

The number of arrangement is n!:

So, we have:

$\mathbf{n! = 10!}$

$\mathbf{n! = 3628800}$

(b) The mathematics book, not together

There are 2 mathematics books.

If the mathematics books, must be together

The number of arrangements is:

$\mathbf{Maths\ together = 2 \times 9!}$

Using the complement rule, we have:

$\mathbf{Maths\ not\ together = Total - Maths\ together}$

This gives

$\mathbf{Maths\ not\ together = 3628800 - 2 \times 9!}$

$\mathbf{Maths\ not\ together = 2903040}$

(c) The novels must be together and the chemistry books, together

We have:

$\mathbf{Novels = 3}$

$\mathbf{Chemistry = 5}$

First, arrange the novels in:

$\mathbf{Novels = 3!\ ways}$

Next, arrange the chemistry books in:

$\mathbf{Chemistry = 5!\ ways}$

Now, the 5 chemistry books will be taken as 1; the novels will also be taken as 1.

Literally, the number of books now is:

$\mathbf{n =Mathematics + 1 + 1}$

$\mathbf{n =2 + 1 + 1}$

$\mathbf{n =4}$

So, the number of arrangements is:

$\mathbf{Arrangements = n! \times 3! \times 5!}$

$\mathbf{Arrangements = 4! \times 3! \times 5!}$

$\mathbf{Arrangements = 17280}$

(d) The mathematics must be together and the chemistry books, not together

We have:

$\mathbf{Mathematics = 2}$

$\mathbf{Novels = 3}$

$\mathbf{Chemistry = 5}$

First, arrange the mathematics in:

$\mathbf{Mathematics = 2!}$

Literally, the number of chemistry and mathematics now is:

$\mathbf{n =Chemistry + 1}$

$\mathbf{n =5 + 1}$

$\mathbf{n =6}$

So, the number of arrangements of these books is:

$\mathbf{Arrangements = n! \times 2!}$

$\mathbf{Arrangements = 6! \times 2!}$

Now, there are 7 spaces between the chemistry and mathematics books.

For the 3 novels not to be together, the number of arrangement is:

$\mathbf{Arrangements = ^7P_3}$

So, the total arrangement is:

$\mathbf{Total = 6! \times 2!\times ^7P_3}$

$\mathbf{Total = 6! \times 2!\times 210}$

$\mathbf{Total = 302400}$

Read more about permutations at:

brainly.com/question/1216161

8 0

2 years ago

If I had 34 Hershey bars and I ate 2, but I get 69 more and you divide that by 420 what do you get?

Mariulka [41]

Answer:

0.24

Step-by-step explanation:

also i see what you did there

5 0

3 years ago

A population increases 3% each year. If the city is now 5 million, what will the population be in 5 years?

Step2247 [10]

5 million x 3% = 150,000
1 Year = 5,150,000

5.15 million x 3% = 154,500
2 Years = 5,304,500

5,304,500 x 3% = 159,135
3 Years = 5,463,635

5,463,635 x 3% = 163,909.05
4 Years = 5,627,544.05

5,627,544.05 x 3% = 168,826.322
5 Years = 5,796,370.37

After 5 years, the population will be 5,796,370.37

8 0

3 years ago

How to do this problem 3x-2=6

sergiy2304 [10]

Answer:

x = 2.667

Step-by-step explanation:

so first you wanna isolate the x by adding 2 to both sides

3x - 2 = 6 ---> 3x = 8

then divide both sides by 3 to get the x alone

x = 8/3 = 2.667

7 0

2 years ago

Read 2 more answers