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Irina18 [472]
3 years ago
11

From eight different books, in how many ways can any four of them be arranged side by side on a bookshelf?

Mathematics
1 answer:
Snezhnost [94]3 years ago
3 0
First we calculate how many ways you can choose four books from a set of eight.
We use the formula n! / [r! * (n-r)!]

8! / [4! * 4!]

= 8*7*6*5 / 4*3*2*1 = 70 ways

Then we have to calculate how many permutations can be made from 4 objects which equals 4*3*2*1 = 24

So, the TOTAL number of ways = 70 * 24 = 1,680


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How to solve linear equations with inverse operations in each step
PilotLPTM [1.2K]
Number one would be 13 because you have to add the x to both sides which will leave you with 2x=26 then you have to divide by 2 and you will get x=13. Number two is 7 7/8 because you have to add the 1/3x to the other 1/3x to get 2/3x= 5 1/4 so then you divide both sides by 2/3 and to divide a fraction you do keep change flip so it would be 21/4 times 3/2 which would be 63/8 which simplifys to 7 7/8.
6 0
3 years ago
What is the nearest ten thousand rounded to 836527
motikmotik

Answer:

837,000

Step-by-step explanation:

If a number is above 5 round up, if it is below 4 round down

3 0
3 years ago
Read 2 more answers
Julie and Eric row their boat (at a constant speed) downstream for 40 miles in 4 hours, helped by the current. Rowing at the sam
Liula [17]

Answer: 3 miles per hour

<u>Step-by-step explanation:</u>

Use the formula "distance (d) = rate (r) x time (t)" to create a system of equations.

Let "r" represent the rate they are rowing

Let "c" represent the current

                            time          rate      distance        <u>EQUATION</u>

Downstream:     4 hours     r + c       40 miles         4(r + c) = 40

Upstream:         10 hours    r - c        40 miles         10(r - c) = 40


Distribute, then eliminate r to solve for c:

Down: 4r + 4c = 40  →   5(4r + 4c = 40)  →   20r + 20c = 200

  Up: 10r - 10c = 40  → -2(10r - 10c = 40) → <u>-20r + 20c</u> =<u>  -80</u>

                                                                                40c = 120

                                                                              <u> ÷40  </u>  <u>÷40 </u>

                                                                                    c =   3

4 0
3 years ago
What is the inverse of the function f(x) = 2x + 1? h(x) = 1/2x - 1/2
sweet-ann [11.9K]

Answer:

h(x) = x/2 - 1/2

Step-by-step explanation:

Here's the procedure for finding the inverse function algebraically:

1.  Replace the label 'f(x)' with the label 'y:'  y = 2x + 1

2. Interchange x and y:  x = 2y + 1

3.  Solve the resulting equation for y:  2y = x - 1, or y = (1/2)(x - 1) or y = x/2 - 1/2

This result corresponds to the 1st given possible answer choice.

The desired inverse function is h(x) = x/2 - 1/2

3 0
3 years ago
Devon started a bike race at 11:30 a.m and finished at 3:17p.m how long did it take him to finish the race
Digiron [165]

Answer:

3 hours 47 minutes

Step-by-step explanation:

It takes 30 minutes to get from 11:30 am to 12:00 pm, and 3 hours and 17 minutes to get to 3:17 pm from 12:00 pm. There are 60 minutes in a hour.

3 0
3 years ago
Read 2 more answers
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