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2 years ago

You are playing a game where you draw a card from a standard deck, and you will win $13 if you draw a face card,

Mathematics

1 answer:

marissa [1.9K]2 years ago

8 0

Answer:

Step-by-step explanation:

win

There are 3 face cards / suit. Every suit contains a Jack, Queen, and king.

There are 4 suits so the number of face cards is 3*4 = 12

There is 1 ace / suit

There are 4 suits so the number of aces is 1 * 4 = 4

The gain from the face cards = 12 * 13 = 156

The gain from the aces = 4 * 3 = 12

Total gain = 168

Losses

Any other card costs you $5

How many cards is that? 52 - 16 = 36

Each one costs 5 dollars

Total loss = 5 * 36 = 180

So each time you play the game, you can expect to lose 180 - 68 = 12 dollars. You should walk away quickly from this one.

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Ivan is painting 3 walls in his living room. Each wall measures 9 3/4 feet tall by 14 1/4 feet wide. Ivan needs to estimate the

Alenkinab [10]

Answer:

The estimated area is $416\frac{13}{16}\ ft^{2}$

Step-by-step explanation:

we know that

To estimate the area that Ivan will paint , calculate the area of one wall and then multiply by 3

step 1

Convert the dimensions to an improper fractions

$9\frac{3}{4}\ ft=\frac{9*4+3}{4}=\frac{39}{4}\ ft$

$14\frac{1}{4}\ ft=\frac{14*4+1}{4}=\frac{57}{4}\ ft$

step 2

Find the area of one wall

$(\frac{39}{4})*(\frac{57}{4})=\frac{2,223}{16}\ ft^{2}$

step 3

Multiply the area of one wall by 3

$(3)*\frac{2,223}{16}=\frac{6,669}{16}\ ft^{2}$

step 4

Convert to mixed number

$\frac{6,669}{16}=\frac{6,656}{16}+\frac{13}{16}=416\frac{13}{16}\ ft^{2}$

4 0

3 years ago

U(-3,6), V(-8, 1), W(-3,1) 180° rotation about the origin

Ad libitum [116K]

Answer:

U'(3, -6), V'(8, -1), W'(3, -1)

Step-by-step explanation:

According to the 180°-rotation rule, you take the OPPOSITE of both the y-coordinate and x-coordinate:

Extended Rotation Rules

270°-clockwise rotation [90°-counterclockwise rotation] >> (x, y) → (-y, x)

270°-counterclockwise rotation [90°-clockwise rotation] >> (x, y) → (y, -x)

180°-rotation >> (x, y) → (-x, -y)

I am joyous to assist you anytime.

7 0

3 years ago

a survey showed that 26% of the people surveyed preferred a certain brand of breakfast cereal. there were 200 people surveyed.ho

Alexandra [31]

The Answer is 200X.26 which equals 52 people.

8 0

3 years ago

Read 2 more answers

What is the answer to the equation 5+2(x-1)=12

S_A_V [24]

$5+2(x-1)=12 \\ \\ 2 ( x - 1) = 12 - 5 \ / \ subtract \ 5 \ from \ each \ side \\ \\ 2(x - 1) = 7 \ / \ simplify \\ \\ x - 1 = \frac{7}{2} \ / \ divide \ each \ side \ by \ 2 \\ \\ x = \frac{7}{2} + 1 \ / \ add \ 1 \ to \ each \ side \\ \\ x = \frac{9}{2} \ / \ simplify \\ \\$

So, the answer to this problem is x = 9/2 or x = 4.5.

3 0

3 years ago

Read 2 more answers

What number is 20% of 60

KonstantinChe [14]

We know that 10% of 60 is 6.

60*.1= 6

So,

6+6= 12 or 20% of 60.

12 is the number.

I hope this helps!
~kaikers

5 0

3 years ago