From standard deck of 52 cards. In how many ways may we select 4 cards such that exactly 2 are face cards?​

Answer:

Option (3)

Step-by-step explanation:

Scale factor by which the rectangle given in the picture is enlarged = 7.5

Since, scale factor = \(\frac{\text{Dimension of dilated rectangle}}{\text{Dimension of the original}}\)

7.5 = \(\frac{\text{Length of the dilated rectangle}}{\text{Length of the original}}\)

7.5 = \(\frac{L}{8}\)

Length of the dilated rectangle = 7.5×8

                                                    = 60 cm

Similarly, width of the dilated rectangle = 7.5 × width of the original rectangle

= 7.5 × 6

= 45 cm

Now area of the dilated rectangle = Length × width

                                                        = 60 × 45

                                                        = 2700 cm²

Perimeter of the dilated rectangle = 2(length + width)

                                                         = 2(60 + 45)

                                                         = 2(105)

                                                         = 210 cm

Therefore, Option (3) will be the correct option.

Given:

Selling price of a machine = 7000/-

Gross loss = 20%.

To find:

The cost and gross loss.

Solution:

Let x be the cost of machine.

According to the question,

\(x-20\%\text{ of }x=7000\)

\(x-\dfrac{20}{100}x=7000\)

\(x-0.2x=7000\)

\(0.8x=7000\)

Divide both sides by 0.8.

\(x=\dfrac{7000}{0.8}\)

\(x=8750\)

So, the cost of the machine is 8750/-.

Now,

\(\text{Gross Loss}=\text{Cost}-\text{Selling price}\)

\(\text{Gross Loss}=8750-7000\)

\(\text{Gross Loss}=1750\)

Therefore, the gross loss is 1750/-.

Answer:

Top one is 3/8

Middle is 4/7

Bottom is 1/3

Step-by-step explanation:

Answer: In 81/ In 12 AND log 81/log 12

Step-by-step explanation: PLATO ANSWER I got 100%

To solve the problem we must know about the change of base rule for Logarithm.

The change of base rule for Logarithm helps us to change the base of any logarithmic expression to any other logarithmic expression.

\(log_ab = \dfrac{log_x b}{log_x a}\)

where x is any base.

The expression can be expressed as \(\dfrac{log\ 81}{log\ 12}\).

Given to us

\(log_{12}81\\\)

use the change of base rule, \(log_ab = \dfrac{log\ b}{log\ a}\),

\(log_{12}81=\dfrac{log\ 81}{log\ 12}\)

Hence, the expression can be expressed as \(\dfrac{log\ 81}{log\ 12}\).

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Answer:

4

Step-by-step explanation:

2:3

4:6

6:9

8:12

8 girls in Ronna’s class

Half of 8 is 4

The equation that models the taxi fare F as a function of the number of miles driven is F = 2.40 + 0.40m

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, the Topology Taxi Company charges 2.40 for the first fifth of a mile and 0.40 for each additional fifth of a mile.

The function will be:

F = 2.40 + (0.40 × m)

F = 2.40 + 0.40m

where m = number of miles

F = taxi fare.

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The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.

Let's solve the system of linear equations correctly.

The given system of linear equations is:

x = y + 3z = 6

x - 2y = 5

2x - 2y + 5z = 9

To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:

From equation 1, we have:

x = y + 3z

Substituting this value of x in equation 2:

(y + 3z) - 2y = 5

y + 3z - 2y = 5

-z + 3z = 5 - y

2z = 5 - y

Now, let's substitute the value of x in equation 3:

2(y + 3z) - 2y + 5z = 9

2y + 6z - 2y + 5z = 9

11z = 9

Simplifying the equation, we find:

z = 9/11

Now, substituting this value of z back into the equation 2z = 5 - y, we get:

2(9/11) = 5 - y

18/11 = 5 - y

18/11 - 5 = -y

18/11 - 55/11 = -y

-37/11 = -y

y = 37/11

Finally, we can substitute the values of y and z into equation 1 to find the value of x:

x = y + 3z

x = 37/11 + 3(9/11)

x = 37/11 + 27/11

x = 64/11

Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).

The system has exactly one solution.

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Answer:

The eight test

Step-by-step explanation:

The sequence is

65, 69, 73, 77, 81, 85, 89, 93

Answer:

Step-by-step explanation:

5 miles................................8 km

? miles...............................387 km

Chris traveled 241.875 miles

Answer:

Uhm no, let's call CPS. I hope you get out of there soon and have a better life without her. If calling CPS yourself is not an option, tell a friend to do so and explain what's happening.

Answer:

A

Step-by-step explanation: Hope it HELP

answer would most likely be C

Answer:

Your Answer Is

True

Step-by-step explanation:

Hope It Help

Answer:

true, km = 1000m

Step-by-step explanation:

Answer:

what is it

i cant see

Step-by-step explanation:

Answer:

English please. i cant speak espanol

The roots of the function F(x) = x³ + 2x² + 4x + 8 are given as follows:

B. 1 real root and 2 complex roots.

The function in this problem is defined as follows:

F(x) = x³ + 2x² + 4x + 8.

The function is of the third degree, hence the total number of zeros of the function is of 3.

From the graph, the function has only one x-intercept, which is given as follows:

x = -2.

Hence the two remaining roots are the complex roots, meaning that option B is the correct option for this problem.

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The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.

The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:

High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.

Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.

Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.

Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.

Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.

However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.

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The length and the width of the rectangular room is found as 21 and 7 meters.

We add its lengths over all four corners of a rectangle to find its perimeter.

Let width of the rectangular room is x.

Then, the length of the rectangular room is 3x.

Perimeter of of the rectangular room = 2(3x + x).

On solving

2(3x + x) = 56

2 × 4x = 56

8x = 56

x = 7.

Width of the  rectangular room is 7 meters.

Length of the  rectangular room is

= 7 × 3 meters

= 21 meters

Thus, the length and the width of the  rectangular room is found as 21 and 7 meters.

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Answer:

Add 16.20+ 40+8

Step-by-step explanation: 16+20+40+8= 84

Each letter should be matched to its correct term as follows;

1. A ⇔ Efficiency.

2. B ⇔ Impossible.

3. C ⇔ Inefficiency.

In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;

Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;

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Answer:

v=2144.66

Step-by-step explanation:

V=4/3πr^3
sub in r which is 8

V=4/3 * π * 8^3
V=4/3 * π * 512

Answer:

0.5 can also be written as 1/2 so we can eleminate the ones that are greater than 1/2 and put them ahead of 0.5 on the number line.

Since 2/3 is approximately 0.666666666666 we can put that above 0.5

2/5=0.4

1/4=0.25

1/10=0.1

Knowing this... The answer is D,C,A,B

Hope this helps

Have a nice day!!

Please give brainliest :D

The possible perimeters are 140 feet, 148 feet and 160 feet.

In order to determine the width that would be used to determine the possible perimeters, the formula for the area would have to be rewritten.

A rectangle is a 2-dimensional quadrilateral with four right angles and two diagonals that bisect each other at right angles.

Area of a rectangle = length x width

Width = area / length

1200 / 40 = 30 feet

1200 / 50 = 24 feet

1200 / 60 = 20 feet

Perimeter of a rectangle = 2 x (length + width)

Perimeter when width is 30 feet : 2(40 + 30) = 140 feet

Perimeter when width is 24 feet : 2(24 + 50) = 148 feet

Perimeter when width is 20 feet : 2 (20 + 60) = 160 feet

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Answer:

39/52 in its simplest form is 3/4.

Step-by-step explanation:

Answer:

there will be 9 rows

Step-by-step explanation:

The monthly mortgage payment will be $3,373.16 (rounded to the nearest cent), excluding insurance and taxes.

We can apply the formula for a fixed-rate mortgage to determine the monthly mortgage payment:

\(M = P * (r * (1 + r)^n) / ((1 + r)^n - 1),\)

where:

M stands for the monthly payment, P for the principal (loan amount less the down payment), r for the monthly interest rate, which is calculated by dividing the yearly interest rate by 12, and n for the total number of monthly payments (30 years times 12 months).

The principal amount (P) is $555,000 - $55,000 = $500,000 if the median property price in Auburn is $555,000 and you put down $55,000.

The annual interest rate (r) is divided by 12 and converted to a decimal number to determine the monthly interest rate (r): 7.6% / 100 / 12 = 0.0063333.

The total number of monthly payments (n) is 30 years * 12 months = 360 months.

M = $500,000 * (0.0063333 * (1 + 0.0063333)^360) / ((1 + 0.0063333)^360 - 1).

The estimated monthly payment (M) using a calculator or spreadsheet is $3,373.16.

In conclusion, the monthly mortgage payment for a 30-year fixed rate mortgage at a 7.6% interest rate will be around $3,373.16 with a median property price in Auburn of $555,000 and a down payment of $55,000.

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Answer:

x = 40

Step-by-step explanation:

So a triangle is 180 degrees

and thats a right triangle = 90 degrees

you have three corners: 90, 50 & x

90 + 50 + x = 180

140 + x = 180

subtract 140 from both sides

x = 40

hope this helps

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Answer:

40 is the asnwer

Step-by-step explanation:

1. Well, first of all we know that all right angles add up to 180 degrees. The degrees shown in the picture are 50, and 90. You can’t see the 90 exactly, but you can tell by that little square, that’s how it shows us!

2. Second step, we add up 60 and 90 which is 140. We got that, now we can subtract this 140 to the 180 to get our answer!

3. 180 – 140 is equal to 40!

4. Therefore, the 3rd angle is 40!

5. Not confident with my ansawer? Proof time!

6. 40 + 50 + 90 = 180

7. Since this all adds up to 180, it is true!

Have a great day!