Anna's car requires 5 1/2 gallons of gasoline to make 4 round trips to work and back. If her car can travel 24 miles per gallon of gasoline, how far, in miles is one round trip to work and back?​

Answer:

142 506

Step-by-step explanation:

here the order does not matter

Then

we the number of sets is equal to the number of combinations.

Using the formula :

the number of sets is 30C5

\(C{}^{5}_{30}=\frac{30!}{5!\left( 30-5\right) !}\)

      \(=142506\)

There are 142506 ways in which 5 students can be selected out of 30 students.

The selection of 5 students out of 30 students can be achieved with the use of combination since the order of selection is not required to be put into consideration.

By using the formula:

\(\mathbf{^nC_r = \dfrac{n!}{r!(n-r)!}}\)

where;

\(\mathbf{^nC_r = \dfrac{30!}{5!(30-5)!}}\)

\(\mathbf{^nC_r = \dfrac{30!}{5!(25)!}}\)

\(\mathbf{^nC_r = 142506}\)

Learn more about combination here:

https://brainly.com/question/11732255

#SPJ11

Answer:

-4/2 since it's a negative slope

Step-by-step explanation:

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀

The 8-Point Radix-2 Decimation-in-Frequency FFT is a fast Fourier transform algorithm used to decompose a signal into its individual frequency components.

The process begins by splitting the input sequence into even and odd samples using a butterfly operation. The even samples are then further split using a second butterfly operation, followed by a third butterfly operation on the odd samples. The outputs of the butterfly operations are then combined using a summation operation.

To draw the signal flow graph, we must first compute the intermediate values. The first step is to split the input sequence of 8 samples into two sequences of 4 samples each, with the even samples in the first sequence and the odd samples in the second. The second step is to further split the even samples into two sequences of 2 samples each. The third step is to apply a butterfly operation to the odd samples, resulting in two new sequences of 2 samples each. The fourth and final step is to combine the outputs from the butterfly operations using a summation operation.

The signal flow graph for the 8-Point Radix-2 Decimation-in-Frequency FFT is shown below:

                                          +---------------------+

                                          |  Input Sequence     |

                                          |  (8 samples)        |

                                          +----------+----------+

                                                     |

                                           +-----------+----------+

                                           |  Butterfly Operation |

                                           |  (Split Even/Odd)   |

                                           +-----------+----------+

                                              |  |  |  |

                                           +--+--+--+--+

                                           |  Butterfly Op.  |

                                           |  (Split Even)   |

                                           +--+--+--+--+

                                              |  |  |

                                           +--+--+--+

                                           |  Butterfly Op.  |

                                           |  (Split Odd)    |

                                           +--+--+--+

                                              |  |

                                           +--+--+

                                           |  Summation Op.  |

                                           |  (Combine Even/Odd)   |

                                           +--+--+

                                              |

                                          +----------+----------+

                                          |  Output Sequence    |

                                          |  (8 samples)        |

                                          +---------------------+

Learn more about sequences here:

https://brainly.com/question/7882626

#SPJ4

Answer:

The mistake they made was they switched the slope and y-intercept.

The correct answer is y=2x+7 because when we write an equation in slope intercept form (y=mx+b) you replace m with the slope and b with the y-intercept.

Hope this helps! <3

Answer:

what fraction of 60 is the number 90?

Answer: 3/2

what fraction of 60 is the number 20?

Answer: 1/3

what fraction of 60 is the number 24?

Answer: 2/5

what fraction of 60 is the number 30?

Answer: 1/2

Answer:

Combined together:

So

15≤x<10

Interval notation

Another way

10 is not included so open bracket

The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

To know more about function, visit

brainly.com/question/5245372

#SPJ1

A hexagonal pyramid has seven vertices.

A hexagonal pyramid contains 12 edges.

A hexagonal pyramid has seven faces.

A hexagonal pyramid is a type of pyramid that exists. A hexagonal pyramid has a hexagonal foundation and isosceles triangles as the faces that join the pyramid together at the top.

A hexagonal pyramid is a 3D pyramid with a hexagonal foundation and sides or faces in the shape of isosceles triangles that form the hexagonal pyramid at the apex or top of the pyramid. A hexagonal pyramid has six sides and six isosceles triangular lateral faces. Heptahedron is another name for a hexagonal pyramid. A hexagonal pyramid has seven faces, twelve edges, and seven vertices. For your convenience, an image of a hexagonal pyramid is provided below.

A hexagonal pyramid has seven vertices in toa

\x linking the triangle edges to the primary vertex and six base edges.

A hexagonal pyramid has seven faces, one for each side of the triangle, and one base.

Learn more about hexagonal pyramids here:

https://brainly.com/question/29713978

#SPJ1

Answer:

Step-by-step explanation:

20x - 26 = 8x + 1

12x - 26 = 1

12x = 27

x = 27/12 = 2 3/12 = 2 1/4 = 2.25

8(2.25) + 1 + 20(2.25) - 26

18 + 1 + 45 - 26

19 + 45 - 26

64 - 26 = 38 = rs

The value of rs is 38 for the given expression.

"A balanced equation is an equation where both sides are equal to the same amount. The answer to the expression on the left side of the equals sign (=) should be equal to the value on the right side of the equals sign".

For the given situation,

The two equations are

qr=8x+1  and

qs=20x-26

On equating these two equations,

\(8x+1=20x-26\)

⇒ \(12x=27\)

⇒ \(x = 2.25\)

To find rs, we need to add both equations.

\(rs=8x+1+20x-26\)

⇒ \(rs=8(2.25)+1+20(2.25)-26\)

⇒ \(rs=38\)

Hence we can conclude that the value of rs is 38.

Learn more about the balance equation here

brainly.com/question/13224617

#SPJ2

Answer:

H= 8 k = 11

Step-by-step explanation:

H= 8 k = 11

sqrt ( x^8 k^11) =  x^4 k^5 sqrt k

The proportion for the problem is 28 cm by 24 cm

From the question, we have the following parameters that can be used in our computation:

Scale: 2 cm = 1 foot

Also, we have

Dimensions = 14 ft by 12 ft

using the above as a guide, we have the following:

Scale dimensions = 2 * 14 cm by 12 * 2 cm

Evaluate

Scale dimensions = 28 cm by 24 cm

Hence, the proportion is 28 cm by 24 cm

Read more about scale drawing at

https://brainly.com/question/29229124

#SPJ1

Answer:

3 seconds

Step-by-step explanation:

when h=7 ft

-16t²+49t+4=7

-16t²+49t-3=0

16t²-49t+3=0

16t^2-48t-t+3=0

16t(t-3)-1(t-3)=0

(t-3)(16t-1)=0

t=3,t=1/16

t=1/16 seconds is the time when it just started.

so reqd.  time=3 seconds.

Answer:the answer would be 25,920" cubed

Step-by-step explanation:

you would do 30*24*36 which equals 25,920 inches cubed

E, "As I was saying, . . .". The salesperson should use this statement if they wished to ignore the objection.

Option E is the best choice to ignore the objection because it allows the salesperson to redirect the conversation back to their main point without directly addressing the objection. The statement implies that the objection is not important enough to interrupt the flow of the conversation.

Ignoring objections is not always the best approach in sales, but if the salesperson chooses to do so, they should use a statement like option E to redirect the conversation back to their main point.


When a salesperson wants to ignore an objection, they should choose a response that does not address the concern raised and instead redirects the conversation back to the topic they were discussing. Option e does this effectively by not acknowledging the objection and continuing with the original discussion.

To ignore an objection, a salesperson should use a statement like option e, which allows them to refocus the conversation without addressing the concern raised.

To know more about main point, visit:

https://brainly.com/question/31850026

#SPJ11

Answer:

62° for box above

118° for second box

Step-by-step explanation:

Since both lines are given parallel, we can apply theorems here.

For the first box above is 62°. This is alternate interior theorem where if both lines are parallel, both angles have same measure or are congruent.

For the second box, since we don't know what the second box's value is, we will leave it as x.

Therefore:-

62+x

Since 62+x forms a line; a line's measure is 180°.

Thus:-

62+x=180

x = 180-62

x = 118°

Answer:

20hours

Step-by-step explanation:

Old Job hours = 54 -34 = 20 hours

Answer:

enlargement ; 2

Step-by-step explanation:

dilation is change in the size of the figure.

in the given scenario, figure's size is increasing so dilation is called enlargement and scale factor must be greater than 1.

scale factor = dimension of new shape / dimension of original shape

let's calculate the difference in terms of boxes of both figures to calculate the scale factor,

scale factor = 6/3

thus, in the given dilation we have enlargement of 2

Line CB touches circle A only at one point (point B), hence CB is a tangent.

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

When a line intersects a circle in exactly one point the line is said to be tangent to the circle

Hence since Line CB touches circle A only at one point (point B), hence CB is a tangent.

Find out more on circle at: https://brainly.com/question/24375372

Answer:

3 and -4

Step-by-step explanation:

this is simple but difficult

let the number be x and second number be y

3x + 2y=1

x-y/2=5

from the 2nd equation

x-y/2=5

x=5+y/2

substitute value for x into equation 1

3x + 2y=1

3(5+y/2) + 2y= 1

15 +3y/2 +2y=1

15 + 7y/2=1

7y/2= 1 - 15

7y/2=-14

cross multiply

7y= -28

y= -28/7

y= -4

therefore second number is -4

substitute value for y into 1st equation

3x + 2y=1

3x + 2(-4) = 1

3x - 8= 1

3x= 1+8

3x= 9

x= 9/3

x= 3

therefore first number is 3

therefore two numbers are;

3 and -4

The Little Rock Nine overcame adversity through their resilience, determination, support from the community, and legal intervention. Lessons we can draw from them include the importance of education, courage, standing up against injustice, and the power of unity.

The Little Rock Nine, a group of African American students, overcame adversity during the desegregation of Little Rock Central High School in 1957. They were able to overcome the challenges they faced due to several key factors:

Resilience and determination: The Little Rock Nine showed remarkable resilience and determination in pursuing their right to education despite facing intense opposition, harassment, and discrimination.

Support from the community: The students received support from their families, civil rights organizations, and sympathetic members of the community.

Legal intervention: The intervention of the federal government through the enforcement of court orders and the presence of the National Guard played a crucial role in protecting the students and ensuring their access to education.

Lessons we can draw from the Little Rock Nine's experience include:

Importance of education: The Little Rock Nine demonstrated the significance of education as a tool for empowerment and social change.

Courage and resilience: The Little Rock Nine's courage serves as a reminder to stand up for what is right, even in the most challenging circumstances.

Opposition to injustice: Their story teaches us the importance of opposing injustice and inequality.

Power of unity: The support and unity displayed by the community, civil rights organizations, and sympathetic individuals were crucial to the success of the Little Rock Nine.

To know more about Little Rock Nine, visit:
brainly.com/question/30386520

#SPJ11

Answer: 108°

Step-by-step explanation:

Answer:

Remember that the total amount of degrees in a pentagon is: 540, and there are 5 sides, so divide 5 by 540:

540/5 = 108

108 is your answer.

The maximum number of coupons that we use for hotel C is 21.  In order to make an equation for this problem, we follow the process given below.

To maximize the number of coupons for hotel C, we should use as many coupons as possible for hotel A and hotel B. Let y be the number of nights we spend at hotel A, and z be the number of nights we spend at the hotel B.Then we have the following equations:

y + z + x = 45 (the total number of nights we stay in hotels A, B, and C)

y <= 25 (we use a maximum of 25 coupons for hotel A)

z <= 20 (we use a maximum of 20 coupons for hotel B)

x <= minimum of (y, z) (we can spend at most one night at hotel C before switching to another hotel)

To maximize x, we need to minimize y and z. Since we cannot spend two consecutive nights at the same hotel, we should alternate between hotels A, B, and C. Thus, we can either start with hotel A or hotel B and then alternate between the two.

Let's assume we start with hotel A. Then we can spend one night at hotel A, one night at hotel C, one night at hotel B, and repeat. This means that y = z = 12 (we spend 12 nights at each of hotel A and hotel B) and x = 21 (we spend 21 nights at hotel C).

Therefore, the maximum number of coupons for hotel C that can be used is 21.

Learn more about making equations on

https://brainly.com/question/13485250?referrer=searchResults

#SPJ4

Answer:

There were 75 people at the party

Step-by-step explanation:

14 + 46 = 60

60 = 4/5 of the people at the party

15 x 4 = 60

60 + 15 = 75

X = 75

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

The value of log_49 7 is approximately 0.1845. The value of log_49 7 can be calculated by dividing the logarithm of 7 by the logarithm of 49.

log_49 7 = log(7) / log(49) = 0.1845

The value of log_49 7 can be calculated by dividing the logarithm of 7 by the logarithm of 49. When this calculation is performed, the result is approximately 0.1845. This calculation can be used to determine the logarithmic value of a number to a given base. In this case, the base is 49 and the number is 7. This means that the logarithmic value of 7 to the base 49 is approximately 0.1845.

The value of log_49 7 is approximately 0.1845. The value of log_49 7 can be calculated by dividing the logarithm of 7 by the logarithm of 49.

learn more about logarithm here

https://brainly.com/question/30085872

#SPJ4

Answer:First, identify what the question is asking for.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Next, identify the numbers.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Next, identify the key words. These include add, subtract, remove, spend, earn, less, more, times, twice, half, etc.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Finally, convert everything into an equation.

42

=

2

⋅

blouse

−

14

Now, solve the equation.

56

=

2

⋅

b

l

o

u

s

e

b

l

o

u

s

e

=

28

The blouse was 28 dollars.

Step-by-step explanation:

The mean of all the sample means (which is equal to the population mean) and the mean of all (N) population observations (X) are both equal to the population mean μ.

The mean of all the sample means of a given population is equal to the population mean, which is denoted by the symbol μ. This is a consequence of the central limit theorem, which states that the distribution of the sample means becomes approximately normal as the sample size n becomes larger, with mean equal to the population mean μ.

The mean of all (N) population observations (X) is simply the population mean, which is also denoted by the symbol μ. It represents the average value of the variable of interest across all individuals in the population.

Therefore, the mean of all the sample means (which is equal to the population mean) and the mean of all (N) population observations (X) are both equal to the population mean μ.

for such more question on population mean

https://brainly.com/question/14532771

#SPJ11

Answer:

its either b or d

Step-by-step explanation:

b or d is the answer

0.688 will be the probability of getting a nickel from the jar.

Given,

Probability;-

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The number of fortunate situations divided by the total number of coins would be the product between the probability of each occurrence and the likelihood of each event.

Therefore,

P(nickel) = 19/69

P(penny) = 17/68

That is,

P = 19/69 × 17/68

P = 323/4692

P = 0.0688

That is,

The probability of getting nickel from the jar is 0.06888

Learn more about probability here;

https://brainly.com/question/29087823

#SPJ4