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AURORKA [14]
3 years ago
11

Find the number of possible 5 card hands that contain the cards specified the cards are taken from a standard 52 card deck

Mathematics
1 answer:
Zarrin [17]3 years ago
5 0

Answer:

Step-by-step explanation:

Find the number of possible 5-card hands that contain the cards specified. The cards are taken from a standard 52-card deck.

5 red cards.

Ans: 26C5 = 26!/[21!*5!] = 65780

--------------------------------------------

4 spades and 1 card that is not a spade.

Ans: [13C4*39C1] = 27885

--------------------------------------------

3 face cards (kings, queens, or jacks) and 2 cards that are not face cards.

Ans: 12C3*40C2 = 171,600

============================

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The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square​ kilometers, find the dimensions
Art [367]
Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
x(2x - 6) = 2 {x}^{2} - 6x

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

2 {x}^{2} - 6x = 108
Subtract 108

2 {x}^{2} - 6x - 108 = 0
Divide by 2.

{x}^{2} - 3x - 54
(x - 9)(x + 6) = 0
Rule AB = 0, gives A is 0 or B is 0.

x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
x = 9
Width
2x - 6 = 2 \times 9- 6 = 18 - 6 = 12

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!
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Ron has 2,500 pounds of horse feed to deliver. He wants to deliver an equal amount on each of 4 trips.
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4f=2500 because 4 trips from 2500 means f= \frac{2500}{4}.
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What’s the reminder for 90 divide by 4
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The answer is 22.5 so the reminder will be 1/2 or .5

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