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damaskus [11]
4 years ago
13

A boy has 6 red , 5 yellow and 4 green marbles. In how many ways can the boy arrange the marbles in a line if:

Mathematics
1 answer:
Arte-miy333 [17]4 years ago
7 0

A.

\dfrac{15!}{6!5!4!}=\dfrac{7\cdot8\cdot\ldots\cdot14\cdot15}{2\cdot3\cdot4\cdot5\cdot2\cdot4\cdot4}=630630

B.

15!=1307674368000

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The can shown has a diameter of 3 inches and a height of 5 inches. Find the lateral surface area of the can.
beks73 [17]

Answer:

Lateral surface area of can = 47 inch² (Approx.)

Step-by-step explanation:

Given:

Diameter of given can = 3 inches

Height of given can = 5 inches

Find:

Lateral surface area of can

Computation:

Radius of can = 3 / 2 = 1.5 inch

Lateral surface area of can = Lateral surface area of cylinder

Lateral surface area of cylinder = 2πrh

Lateral surface area of can = 2πrh

Lateral surface area of can = 2(3.14)(1.5)(5)

Lateral surface area of can = 47.1

Lateral surface area of can = 47 inch² (Approx.)

6 0
3 years ago
You are considering buying two different vehicles. • The first is a van at $20,523, and an estimated annual operating cost of $3
torisob [31]

Answer:

Fill in the following tables, using the equations.

Cost of owning and operating the vehicles

Vehicle    0              1              2             3             4               5             6    

Van     $20,523   $23,723  $26,923  $30,123  $33,323 $36,523  $39,723

Car      $23,540  $25,990  $28,440  $30,890 $33,340 $35,790  $38,240

How much does each vehicle cost initially?

  • Van costs $20,523
  • Car costs $23,540

How much does each cost to operate for one year?

  • Van costs $3.200
  • Car costs $2,450

Which one initially costs less?

  • Van

Which one will cost less over the six years?

  • Car

When do they cost about the same?

  • year 4: van accumulated costs $33,323 and car accumulated costs = $33,340

4 0
3 years ago
A collection of dimes and nickels is worth $4.50. There are 30 in total, how many of each are there.
Alex787 [66]
.10x + .05y = 4.50
x + y = 30
Is the formula
5 0
3 years ago
2 times 5 times 10 to the 5th power
xxMikexx [17]
10 to the 5th power is 100,000. 2 X 5 is 10.
10 X 100,000 is one million.

the answer is 1,000,000. (one million)
5 0
3 years ago
Read 2 more answers
HELP PLEASE!!Solve the inequality for x. Show each step of the solution. 12x> 9(2x− 3) − 21
JulijaS [17]

Answer:

The answer is x < 8

Step-by-step explanation:

12x > 9(2x− 3) − 21

12x > 18x - 27 - 21

12x > 18x -48

12x - 18x > -48

-6x > -48

6x < 48

x < 48/6

x < 8

7 0
3 years ago
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