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eduard
3 years ago
7

Which choice is equivalent to the expression below?

Mathematics
1 answer:
Vika [28.1K]3 years ago
5 0

Answer:

A

Step-by-step explanation:

simplified version

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A large van is being used for a picnic. There will be 8 people riding in the van, and there are 8 seats in the van (one of which
Julli [10]

Answer:

The people can seat themselves in 20160 different ways.

Step-by-step explanation:

Arrangements of n elements:

The number of arrangements of n elements is given by the following formula:

A_{n} = n!

In this question:

For the first seat, that is, the driver seat, 4 possible people can sit.

For the remaining 7 seats, the number of ways in which the people can sit is an arrangement of 7 elements. So

T = 4*7! = 4*5040 = 20160

The people can seat themselves in 20160 different ways.

6 0
3 years ago
Bob is reading a 445 page book. He has already read 157 pages. If he reads 24 pages a day, how long will it take him to finish t
Sever21 [200]

Answer:

12 days

Step-by-step explanation:

Set up an equation with y = mx + b, where m is the rate and b is the y-intercept (starting value)

Let x represent how many days it takes and y represent how many pages he read:

445 = 24x + 157

Solve for x:

288 = 24x

12 = x

So, it will take him 12 days to finish the book

3 0
3 years ago
Read 2 more answers
Find LCM x⁴-y⁴,x²-y² and x³-y³​
Fynjy0 [20]

Answer:

Step-by-step explanation:

1st expression: x⁴-y⁴

= (x²)² - (y²)²

= (x² +y²)(x² -y²)

= (x² +y²)(x +y)(x -y)

= (x +y)(x -y)(x² +y²)

2nd expression: x² -y²

= (x +y)(x -y)

3rd expression: x³ -y³

= (x -y)(x² +xy +y²)

Now ,

Lowest Common Multiples (L.C.M.) = common factors * rest factors

= (x+y)(x-y) * (x² +y²)(x² +xy +y²)

= (x² -y²)(x²+y²) * (x² +xy +y²)

= (x⁴ -y⁴)(x² +xy +y²)

8 0
3 years ago
Two cities A and B are 1400km apart and lie on the same N-S line. The latitude of city A is 23 Degrees. What is the latitude of
erica [24]

Answer:

{\theta}=12.53 degrees≈13degrees

Step-by-step explanation:

It is given that Two cities A and B are 1400km apart and lie on the same N-S line. The latitude of city A is 23 Degrees. Then,

Using the formula, S=r{\theta} where s is the distance between the two cities and r is the radius of the earth,thus substituting the values, we get

1400=6400{\theta}

⇒{\theta}=\frac{14}{64}

Therefore, {\theta}=\frac{14}{64}{\times}\frac{180^{{\circ}}}{{\pi}}

⇒{\theta}=\frac{2520}{200.96}

⇒{\theta}=12.53 degrees

Thus, the latitude of B is=12.53 degrees≈13degrees

4 0
4 years ago
Help is needed folks plz will give brainiest!
irina1246 [14]

Answer:

I belive the answer is F

Step-by-step explanation:

In question/ option F it tells us that she started with 12 bannanas before getting 4 more bunchs, the question then asks how many bannanas were in each bunch, which then added plus 12 would of gotten you 32 bannans.

6 0
3 years ago
Read 2 more answers
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