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dem82 [27]
3 years ago
11

There are 5 very different seats in a car. In how many ways can 5 different people be seated in the car for a road trip if only

2 of them know how to drive?
Mathematics
1 answer:
avanturin [10]3 years ago
6 0

Answer:

48

Step-by-step explanation:

Let A and B be the two people who are able to drive. If A is driving, there are 4! ways to arrange the remaining peoplein the car seats. If B is driving, there are also 4! ways to arrange the remaining people. The number of arrangements 'n' is:

n=2*4!\\n=2*4*3*2*1\\n=48\ ways

They can be arranged in 48 ways.

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Show that KEYS is a square if K (-2, 4) ,E (4,2 ), Y(2,-4 ) ,S (-4, -2) are the co- ordinates of the vertices.
Lyrx [107]

Answer:

KEYS is a square

Showing as plotted and connected points

See the attached

4 0
3 years ago
Use the equation 2,401 = 76 – 2x. What power of 7 is 2,401?
zaharov [31]
Comment
I'm going to take a guess at this and say what you meant is  2401 = 7^(6 - 2x)

Step One
Find out the power of 7 that will equal 2401. 
You could do it like this.
7^y = 2401 and just guess at some values.

y      7^y
1      7
2      49
3      7 * 7 * 7 = 343
4      7 * 7 * 7 * 7 = 2401  So the answer is 4

7^4 = 2401

Step 2 
Equate the powers.
2401 = 7^(6 - 2x)
7^4 = 7^ (6 - 2x)
4 = 6 - 2x  Subtract 6 from both sides.
4 - 6 = - 2x 
-2 = - 2x divide by - 2
-2/-2 = x
x = 1 <<<<<<<<<<<<<answer

7 0
3 years ago
Read 2 more answers
At a concession stand five hotdogs and two hamburgers cost 8.00 two hotdogs and five hamburgers cost 9.50 find the cost of one h
Svetach [21]
Think of this situation as a system of equations.

let y be the price of hotdogs
let x be the price of hamburgers

5y + 2x = 8
2y + 5x = 9.50

now use your solution method of choice
substitution, elimination, matrices, etc
6 0
3 years ago
The coefficient of the a2 term is
Elena-2011 [213]

Answer:

-2

Step-by-step explanation:

The coefficient is the number in front of the variable.

5 0
3 years ago
Wolverine makes a $1000 down payment for a motorcycle and then pays $300 per month. James Bond makes a $2500 down payment for a
Delicious77 [7]

Answer:

Both Wolverine and James Bond will have paid the same amount after 10 months.

Step-by-step explanation:

Let x denotes the number of months after which both Wolverine and James Bond will have paid the same amount.

As Wolverine makes a $1000 down payment for a motorcycle and then pays $300 per month,

Amount paid by Wolverine in x months is equal to 1000+300x

As James Bond makes a $2500 down payment for a motorcycle and then pays $150 per month,

Amount paid by James Bond in x months is equal to 2500+150x

To find number of months after which both Wolverine and James Bond will have paid the same amount,

solve 1000+300x=2500+150x

1000+300x=2500+150x\\300x-150x=2500-1000\\150x=1500\\x=\frac{1500}{150}=10

So, both Wolverine and James Bond will have paid the same amount after 10 months.

5 0
3 years ago
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