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Sloan [31]
2 years ago
10

Your 3 nieces and 3 nephews (6 children total) are visiting for the holidays. You must give them each a present. They all love l

egos so you choose to give them each a lego kit. You can select from the following 9 lego kits:airplan, boat, car, dumptruck, elephant, fortress, giraffe, helicopter, igloo.
Mathematics
1 answer:
marusya05 [52]2 years ago
4 0

Answer:

The 6 Lego kits can be selected from the 9 available Lego kits in 84 ways.

Step-by-step explanation:

Use combinations to solve this problem.

Combination is defined as the selection of <em>r</em> elements from <em>n</em> distinct objects irrespective of the order. The objects cannot be replaced.

There are 9 Lego kits available.

And the total number of children is 6.

That is, we need to select 6 Lego kits from the 9 available Lego kits.

6 Lego kits can be selected from the 9 available Lego kits in 9\choose 6 ways.

Solving the combination as follows:

{9\choose 6}=\frac{9!}{6!\times(9-6)!} \\=\frac{362880}{720\times6}\\ =84

Thus, there are 84 ways to select 6 Lego kits from 9 available Lego kits.

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Kipish [7]

Answer:

The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true

The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false

Step-by-step explanation:

we have

2x-y=-5 -----> First equation

x+3y=22 -----> Second equation

Solve the system of equations by graphing

Remember that the solution of the system is the intersection point both graphs

The solution is the point (1,7)

The ordered pair (7,19) lie on the first line, so is a solution of the first equation

see the attached figure

<u><em>Verify each statement</em></u>

case 1) The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true

The statement is true

case 2) The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true

The statement is false, because the ordered pair (7,19) not lie on the second line

case 3) The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false

The statement is true

case 4) The ordered pair (7, 19) is a solution to the system because it makes both equations true

The statement is false,because it makes only the first equation true

6 0
3 years ago
A Mexican restaurant received 60 takeout orders. The manager found that 60% of the orders were for tacos and 25% of the order be
Minchanka [31]
The answer is 9 because 25% of 60 is 15 plus 60% of 60 is 36 so 36+15=51 and 60-51=9
8 0
2 years ago
Kinard's Kennels Inc. ROE is 20%. Their dividend payout ratio is 70%. The last dividend, just paid, was $2.00. If dividends are
bulgar [2K]

Answer:

option C

Step-by-step explanation:

given,

ROE = 20 %

dividend payout ratio = 70%

paid = $ 2.00

value of current stock if required return is 18% = ?

g = (1 - payout ) x  ROE

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dividend =  2 (1 + growth rate)

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as current value of stock

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hence, the correct answer is option C

8 0
2 years ago
I need help on this problem​
Mamont248 [21]

Answer:

80

Step-by-step explanation:

because you have to do (11+11)+(9+9)+(10+10) and you would get 22,18,20 and add all together and get 80 because you have to do 22+18=40 then add the remaining 20 and you would get 80

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(3 + 5i)(4 + 4i)=12 + 12i + 20i -20
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3 years ago
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