find the probability of getting a king then an eight. Assume the cards are not replaced?

Required math argument to justify the conjecture that trip,

11 x 5 + 4 x 10 = 95

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Trip has 15 coins worth 95 cents. four of the coin are each worth twice as much as the rest.

So, we get,

Required math argument to justify the conjecture that trip,

11 x 5 + 4 x 10 = 95

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A zoo has 14 monkeys and 18 chimpanzees.

To write the ratio of numbers x and y we use three ways given below

1. x to y

2. x : y

3. [tex] \frac{x}{y} [/tex]

Now write the ratio in three ways comparing 14 monkeys and 18 chimpanzees.

Let x be the number of monkeys

y be the number of chimpanzees

So ratio becomes

14 to 18

14 : 18

[tex] \frac{14}{18} [/tex]

The expression represents the number of cards remaining in the deck will be 52 - 3p. Then the correct option is C.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A deck of cards has 52 cards. If p is the number of players and each player receives 3 cards. Then the expression is given as,

⇒ 52 - 3p

The expression represents the number of cards remaining in the deck will be 52 - 3p. Then the correct option is C.

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Answer:

C) 20.94 inches

Step-by-step explanation:

It right on edge

Final answer:

To partition a number line into fourths, divide it into four equal segments, with each representing 1/4. To decompose 3/4 into 6 equal lengths, divide 3/4 into six parts where each part is 1/8 of the whole.

Explanation:

Partitioning a Number Line into Fourths and Decomposing Fractions

To partition a number line from 0 to 1 into fourths, you would divide the line into four equal segments. Each segment represents a value of 1/4. Now, to decompose 3/4 into 6 equal lengths, realize that each 1/4 is being divided into two parts (since 6 divided by 3 equals 2), which means each part is 1/8 in length. Therefore, 3/4 divided into 6 equal lengths gives us 6 segments, each of length 1/8.

Step-by-Step Solution

Draw a number line from 0 to 1.

Mark off four equal lengths between 0 and 1, each representing 1/4.

Find 3/4 on the number line. It is three of these fourths.

Divide each fourth into two equal lengths to decompose 3/4 into 6 equal parts.

Mark these new lengths on the number line, showing that each length is 1/8.

The membership will last for about 1 year.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Let's start by subtracting the initiation fee from the total amount Cleo paid:

$174.99 - $24.99 = $150

This represents the total amount Cleo will pay for the monthly membership fees.

To find out the number of months of membership this represents, we divide by the monthly fee:

$150 ÷ $12.50 = 12

Therefore, Cleo's membership will last for 12 months.

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The algebraic expression that is equivalent to the given rational expression is (x-11), but when we substitute x=11 into the expression, we receive 0. However, this leads to an indeterminate form in the original rational expression.

The rational expression given in the question is x^2-121/x+11. If we factorize x^2-121, we'll get (x-11)(x+11), because x^2-121 is a difference of squares. Now, the expression becomes: (x-11)(x+11)/(x+11). We see that (x+11) on numerator and denominator will cancel out each other. This leaves us with (x-11).

Now, let's substitute x=11 in (x-11). We obtain 11-11 which equals 0. So the correct answer is (x-11), but we get 0 when we substitute x=11 into the expression. This actually results in an indeterminate form because the original rational expression becomes a 0/0 form, which points to a situation of undefined or indeterminate form.

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7. 0.78 8. 0.55 9. 0.185 10. 0.574 11. 0.33 12. 0.09 13. 0.4763 14. 0.9125

15. 1.66 16. 2.17 17. 0.0006 18. 0.00034 19. 74% 20. 52% 21. 89% 22. 76.8%

23. 99% 24. 49% 25. 48.7% 26. 12.8% 27. 368% 28. 512% 29. 3.71%

30. 0.46% Converting Decimal to Percentage, Multiply Decimal by 100. Percentage to Decimal, divide by 100.

Answer:

for the changing decimal to percent just change each decimal to a whole number for example .99=99 percent and 3.68 = 368 percent

Step-by-step explanation:

Part A: The monthly amount payable by Victoria is $503.75. Option B shows the monthly payment made by Victoria.

Part B: The monthly amount payable by Victor is $276.17.

Interest is defined as the amount of money paid for the use of someone else's money.

Part A:

Given that the amount P is $6500, interest rate R is 13% and time period T is 15 months. The yearly time period is given as,

[tex]T = \dfrac {15}{12}[/tex]

[tex]T = 1.25 \;\rm Years[/tex]

The interest is calculated as given below.

[tex]I = P\times\dfrac {R}{100}\times T[/tex]

[tex]I = 6500 \times \dfrac {13}{100} \times 1.25[/tex]

[tex]I =\$ 1056.25[/tex]

The total amount after 15 months is given as,

A = P + I

A = $6500 + $1056.25

A = $7556.25

This is the amount of 15 months. The amount of one month is calculated as given below.

Monthly Amount = [tex]\dfrac {\$7556.25}{15}[/tex]

Monthly Amount = $503.75

Hence we can conclude that the monthly amount payable by Victoria is $503.75. Option B shows the monthly payment made by Victoria.

Part B:

Given that the amount P is $6800, interest rate R is 13.5% and time period T is 3 years.

The total amount after 3 years is given as,

[tex]A = P (1 + \dfrac {R}{100})^T[/tex]

[tex]A = 6800 (1 + \dfrac {13.5}{100})^3[/tex]

[tex]A = 6800 \times 1.4621[/tex]

[tex]A = \$ 9942.28[/tex]

This is the amount of 3 years or for 36 months. The amount of one month is calculated as given below.

Monthly Amount = [tex]\dfrac {\$9942.28}{36}[/tex]

Monthly Amount = $276.17

Hence we can conclude that the monthly amount payable by Victor is $276.17.

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Answer:

1. x² + 2x + 2

2. x² + 4

3. x² - 4x + 8

Step-by-step explanation:

(1) ( x+1+i ) ( x+1-i )

= ( x+1 )²- i²  [ Since ( a+b ) ( a-b ) = a² - b² ]

= x² + 1 + 2x - ( √-1 )²

= x² + 1 + 2x + 1

= x² + 2x + 2

(2) ( x+2i ) ( x - 2i )

= x² - (2i)² [ ( a+b ) ( a-b ) = a² b²

= x² - 4i²

= x² - 4 (-1) [Since i² = -1 ]

= x² + 4

(3) ( x - 2i - 2 ) (x + 2i - 2 )

= ( x-2 )² - ( 2i )² [ ( a+b ) ( a-b ) = a² - b² ]

= x² + 4 - 4x - 4 ( i )²

= x² + 4 - 4x - 4 ( -1 )²

= x² - 4x + 4 + 4

= x² - 4x + 8

Answer:

(r-7)(r+7)

hope this helps! :)

Answer:

Rate column: 30, 20.

Distance column: x miles for both.

Step-by-step explanation:

Jorden drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total driving time takes half an hour, how far does she live from the store?

Fill out the Rate column in the table below.

a = 30

b = 20

Fill out the Distance column.

c = x miles

d = x miles

basically: 30, 20 for first question. x miles for both second

Answer:

The amount before the tip  is $50.

Step-by-step explanation:

Given : Matt paid $55 at a restaurant. That amount included a 10% tip.

To find : What was the check amount before the tip?

Solution : We have given

Matt paid  = $55 .

amount included a 10% tip.

Let the amount before the tip = x.

Tip amount = 10% of x is

[tex]\frac{10 x}{100}[/tex] = 0.1 x .

Tip amount = 0. 1 x

Total amount = x + 0.1x = 55 .

1.1 x = 55.

On dividing both sides by 1.1

x = 50.

So, the amount before the tip  is $50.

Therefore, The amount before the tip  is $50.