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Crazy boy [7]
3 years ago
6

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

is the driver's seat). One of the 8 people will have to drive, but only 4 of the people are licensed to drive the van. In how many different ways could the people seat themselves in the van so that they have a licensed driver
Mathematics
1 answer:
Julli [10]3 years ago
6 0

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.

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When a force of 30 N acts on a certain object the acceleration of the object is 5m/s2 if the force is changed to 54 N what will
PtichkaEL [24]

Answer:

The correct answer is 9 m per second^{2}

Step-by-step explanation:

Force is defined by mass of an object times it's acceleration.

Let the mass of the object be m kilograms.

When a force of 30 N acts on a certain object the acceleration of the object is 5 m per second^{2}

∴ 30 = m × 5

⇒ m = 6.

If the force is changed to 54 N, let the acceleration of the object be x  m per second^{2}.

∴ 54 = m × x

⇒ x = \frac{54}{6} = 9

Thus when the force is 54 N, the acceleration of the object is 9 m per second^{2}.

6 0
3 years ago
Solve system of equations for x + y: -4x + 9y = -11 & -3x + 7y =-9
Aloiza [94]

Answer:

x = -3   and   y = -4

x + y = -3-4 = -7

Step-by-step explanation:

-4x + 9y = -11 ------------------------------------------------------------------------(1)

-3x + 7y = -9--------------------------------------------------------------------------(2)

multiply through  equation (1) by 3   and multiply through equation(2) by 4

-12x + 27y = -33 -----------------------------------------------------------------------(3)

-12x + 28y   = -36 ----------------------------------------------------------------------(4)

subtract equation (1) from equation (2)

y = -3

substitute y = -3 into equation (2)

-3x + 7(-3) = -9

-3x -21 = -9

add 21 to both-side of the equation

-3x -21 + 21 = -9 + 21

-3x = 12

divide both-side of the equation by -3

-3x/-3 = 12/-3

x = -4

x = -3   and   y = -4

8 0
3 years ago
Click on the following figure to show the reflection about m. A, B, C, D? 1st pic A, 2nd pic B, and so on
vovangra [49]

Answer:

c

Step-by-step explanation:

the third picture shows symmetry and equality

8 0
3 years ago
Read 2 more answers
What is the coefficient of x5y5 in the expansion of (x + y)10?
butalik [34]

Answer:

C=252

Step-by-step explanation:

Given:

x^5y^5

(x+y)^10

Find the coefficient of x^5y^5

To get the coefficient of x^5y^5,

we will put r = 5, in the below given general term.

The general term is : nCr =x^ry^n-r

We get:

Coefficient is = 10C5

= 10!/5!*5!

= 252

The coefficient of x^5y^5 is 252

C. 252

4 0
3 years ago
Read 2 more answers
I really need the answers to these questions
almond37 [142]
Alrighty, so:
Question 9.) We know that each box has a total of three toys, therefore whatever answer we choose must be a multiple of 3. Answer E.) 12 is the only multiple of 3.
Question 10.) The numbers are going up by 13. 63 is what I got as the answer.
Question 11.) A
Question 12.) A

Hope this helps! Been a while since I've done math like this.
6 0
3 years ago
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