IT takes Santa 5 minutes to fly 35 miles with the wind It takes him 7 min to go 35 miles against the wind Determine the speed of Santa 's sleigh in air (X) and the speed of the wind (Y)

The expression for the cost of buying n book will be 20 + 13n.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

It is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

In this case, the person some books online for myself and friends and each book costs $13 and the store charges a one-time shipping fee of $20.

The expression for the cost of buying n books is:

= 20 + (13 × n)

= 20 + 13n

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When Sebatian has 379.33 buttons, Zoey has 2688.73 buttons, and Valeria has 1344.36 buttons, there will be a total of 4412.42 buttons.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here,

Let Sebastian have x button and Zoey have y button and Valeria have z button.

x+y=3068

x+z=2103

z=y/2

x+y=3068

x+y/2=2103

4x+y=4206

x+y=3068

3x=4206-3068

3x=1138

x=1138/3  

x=379.33

x+y=3068

379.33+y=3068

y=3068-379.33

y=2688.73

z=y/2

z=2688.73/2

z=1344.36

x+y+z=379.33+2688.73+1344.36

Total number of button=4412.42 buttons

The total number of buttons will be 4412.42 buttons when Sebatian have 379.33 buttons, Zoey have 2688.73 buttons, Valeria have 1344.36 buttons.

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Answer:

1 : 2

or

1/2

Step-by-step explanation:

The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.

6 : 12    

semplify

1 : 2

in fraction

1/2

If the scale of drawing is 1 inches : 10  feet and the real horse height is 25 feet, then the height of the horse in drawing is 2.5 inches

The scale of drawing the horse = 1 inch : 10 feet

Therefore in scale

The height of the horse in drawing = 1 inch

The  height of the horse = 10 feet

The original height of the horse = 25 feet

The height in the picture = x inches

To find the height the horse in the picture, we have to use proportion

1 inch : 10 feet = x inches : 25 feet

1 / 10 = x / 25

1 × 25 = 10x

10x = 25

x = 25/10

x = 2.5 inches

Therefore, the height of the horse in drawing is 2.5 inches

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In determining a mean, the 90% C.I. is more accurate than the 95% C.I.

A confidence interval is the mean of your estimate plus or minus the range of that estimate's variability.

You can reasonably anticipate that if you repeat the test, your estimate will fall within these values.  In statistics , confidence is another name for probability

A statistician who declares that they have a 95% confidence level has basically seen one possible interval out of many possible ones, and 19 out of 20 of those intervals include the correct value of the parameter.

In determining a mean, the 90% C.I. is more accurate than the 95% C.I.

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Answer:

  SL = 2.1 miles

Step-by-step explanation:

Given ∆LRS with RS extended to point T, and angles R = 35° and exterior angle LST = 70°, you want the measure of SL. You want to apply the process to finding distance to shore.

The exterior angle LST is the sum of interior angles SRL and SLR. In equation form, this is ...

  ∠LST = ∠SRL +∠SLR

  70° = 35° +∠SLR

  ∠SLR = 35°

The angles at either end of segment LR are both 35°, so the triangle is isosceles. That means sides SR and SL are congruent:

  SL = SR = 2.1 miles

The distance from the boat to the lighthouse has been found using an isosceles triangle. A similar method can be used to find the distance to shore. It requires the captain to be able to identify a point on shore, and measure the distance traveled parallel to the shore.

By using a 45° angle to start, and a 90° angle at the second measurement, the distance traveled between angle measurements will be exactly the (closest) distance to shore from the point of the second measurement.

Other angle measures can be used with trigonometric methods.

Answer:

$1

Step-by-step explanation:

To find the unit cost per DVD, you need to calculate the total cost of producing 1 million DVDs and divide that by the number of DVDs produced.

First, you need to find the cost of producing 1 DVD. You can do this by dividing the cost of building the factory by the number of DVDs produced per dollar spent on the factory:

cost of 1 DVD = $80,000 / (20 DVDs/$3) = $1

Then, you can multiply this cost by the number of DVDs produced to find the total cost of producing 1 million DVDs:

total cost = (cost of 1 DVD) * (number of DVDs) = $1/DVD * 1,000,000 DVDs = $1,000,000

Finally, you can divide the total cost by the number of DVDs produced to find the unit cost per DVD:

unit cost per DVD = total cost / number of DVDs = $1,000,000 / 1,000,000 DVDs = $1/DVD.

So, the unit cost of producing 1 DVD is $1.

Answer:

Step-by-step explanation:

I think you should divide

The required interest as calculated from the given data equals $48.3 .

Given,

A $1,000 TR Global bond at an interest rate of 80.5 pays 6%.

A bond price of 90 on a $1,000 bond indicates that the bond will sell for $900, or 90% of $1,000.

Because we provided a $1,000 TR Global bond at 80.5 pays

means that 80% of $1,000 is used to fund the bond.

80.5% of $1,000 is equal to frac80.5100*1000=805.

The true cost is $805.

Currently, actual interest is 6%.

6% of $805= 6*100*805*0.06*805

=48.3

Final interest equals $48.3

Interest is calculated as Interest Rate * Balance or Principal.

Choosing the appropriate interest rate is frequently the more challenging part of calculating interest. The APR is typically used to denote the interest rate, which is frequently stated as a percentage.

The APR, however, frequently does not take compounding into account.

The actual rate of interest to be paid is expressed instead using the effective yearly rate.

To determine the appropriate interest earned over a specific period, an annual rate must frequently be converted.

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Answer:

85 cm^2

Step-by-step explanation:

The surface area of a square pyramid is given by the formula:

Surface area = base area + 4 * (base edge length * slant height) / 2

In this case, the base area is 25 cm^2, because the side length of the base is 5 cm. The base edge length is also 5 cm, because it is a square pyramid. Plugging these values into the formula above, we get:

Surface area = 25 cm^2 + 4 * (5 cm * 6 cm) / 2

= 25 cm^2 + 60 cm^2

= 85 cm^2

So the surface area of the square pyramid is 85 cm^2.

Answer:

Step-by-step explanation:

You want the explicit formula for each of the geometric sequences, and the 7th term.

The explicit formula for a geometric sequence with first term a[1] and common ratio r is ...

  a[n] = a[1]·r^(n-1)

The explicit formula is ...

  a[n] = -4·(-3)^(n-1)

The 7th term is ...

  a[7] = -4·(-3)^(7-1) = -2916

The explicit formula is ...

  a[n] = 12·(1/4)^(n -1)

The 7th term is ...

  a[7] = 12·(1/4)^(7-1) = 3/1024

Browne County shows a population bigger than Orange County in 2015.

Herein we find the case of two cities in the United States that changes exponentially in time, the population of Browne County decrease in time, while the population of Orange County decreases at a lower rate in time in time. Exponential model is introduced below:

p'(n) = p · (1 + r / 100)ⁿ

Where:

Now we proceed to build the equation that explain the growth of the two cities:

Browne County (p = 87,000, r = - 10)

p'(n) = 87,000 · 0.9ⁿ

Orange County (p = 102,000, r = 16)

p'(n) = 102,000 · 0.84ⁿ

Now we evaluate the two functions at n = 5:

Browne County

p'(5) = 87,000 · 0.9⁵

p'(5) = 51,372

Orange County

p'(5) = 102,000 · 0.84⁵

p'(5) = 42,657

Browne County has more population than Orange County.

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The solution of the quadratic equation 2x² - 5x = - 3 will be 3/2 and 1. Then the correct option is B.

Let the equation be ax² + bx + c = 0.

Then the roots of the equation will be

[tex]\rm x = \dfrac{-b \pm \sqrt{b^2 - 4 a c }}{2a}[/tex]

The quadratic equation is given below.

2x² - 5x = - 3

Simplify the equation, then we have

2x² - 5x + 3 = 0

Then the roots of the equation are given as,

x = [-(-5) ± √((-5)² - 4 × 2 × 3)] / (2 × 2)

x = [5 ± √(25 - 24)] / 4

x = (5 ± 1) / 4

x = (5 + 1) / 4, (5 - 1) / 4

x = 6 / 4, 4 / 4

x = 3/2 and 1

The solution of the quadratic equation 2x² - 5x = - 3 will be 3/2 and 1. Then the correct option is B.

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Answer:

27

Step-by-step explanation:

3*3*3 equals 27. I hope this helps.

Answer: The solution to this problem is 27.

To find the cost of x small greeting cards and y large greeting cards, use the equation: cost = x * $1.80 + y * $3.85.

What is the system of linear equations?

A system of linear equations is a group of one or more linear equations that can be solved by using a simultaneous equation or elimination method. Therefore, by using the substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).

The cost of 4 small greeting cards is 4 * $1.80 = 4 * 1.8 = $7.20.

The cost of 3 large greeting cards is 3 * $3.85 = 3 * 3.85 = 11.55.

The total cost of 4 small greeting cards and 3 large greeting cards is $7.20 + $11.55 = 7.2 + 11.55 = 18.75.

To find the cost of x small greeting cards and y large greeting cards, you can use the following equation:

cost = x * $1.80 + y * $3.85

Substituting the values of x and y into this equation will give you the total cost of the greeting cards.

Hence, to find the cost of x small greeting cards and y large greeting cards, use the equation: cost = x * $1.80 + y * $3.85.

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The inequality that would represent this situation is 70+10x≥320 where x is the number of sales for Shane and the value of x will be ≥ 25.

According to the question,

We have the following information:

As a salesperson, Shane is paid $70 per week, plus $10 per sale. This week Shane want to make at least $320.

Let's take the number of sales needed to be made to be x.

Now, the following inequality will be used to represent this situation:

70+10x≥320

Now, subtracting 70 from both sides:

10x ≥ 320-70

10x ≥ 250

Dividing by 10:

x ≥ 25

Hence, the inequality that would represent this situation is 70+10x≥320 where x is the number of sales for Shane and the value of x will be ≥ 25.

Here is the complete question:

As a salesperson, Shane is paid $70 per week, plus $10 per sale. This week Shane want to make at least $320. Write the inequality to represent this situation and find the number of sales accordingly.

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Answer:

9.14 servings

Step-by-step explanation:

The question is asking how many servings of cereal does the box contain, or in other words, how many groups of 56 grams can you make from 512 grams.

To find out how many groups of 56 you can make, you need to divide 512 by 56:

512 ÷ 56 = 9.14

The value of function f (x) will be;

⇒ [tex]f (x) = - 2 x^{1/2} * 2 + 3x - 4[/tex]



Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division



Given that;

The value of function is,

⇒ [tex]f '' (x) = \frac{1}{x^{3/2} }[/tex]

And, f ' (4) = 2 , f (4) = 0

Now,

Since, The value of function is,

⇒ [tex]f '' (x) = \frac{1}{x^{3/2} }[/tex]

After integration we get;

⇒ [tex]f '(x) = - 2 x^{- 1/2} + c[/tex]

Here, f ' (4) = 2

Put x = 4 in above function, we get;

⇒ [tex]f '(x) = - 2 x^{- 1/2} + c\\2 = - 2 * 4^{- 1/2} + c\\ 2 = - 2/2 + c\\c = 3[/tex]

Hence, We get;

⇒ [tex]f'(x) = - 2x^{- 1/2} + 3[/tex]

Again integrating, we get;

[tex]f (x) = - 2 x^{1/2} * 2 + 3x + b\\f (x) = - 4 x^{1/2} + 3x + b[/tex]

Here, f (4) = 0

Put x = 4 in above function, we get;

[tex]f (4) = - 4 * 4^{1/2} + 3*4 + b\\0 = - 4 * 2 + 12 + b\\b = - 4[/tex]

So, We get;

⇒ [tex]f (x) = - 2 x^{1/2} * 2 + 3x - 4[/tex]

Thus, The value of function f (x) is,

⇒ [tex]f (x) = - 2 x^{1/2} * 2 + 3x - 4[/tex]



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The inference from given boxplot is : The visiting team had more variability in the number of shots taken.

In this question we have been given two boxplots.

For the boxplots that the coach made,

for the home team:

Whiskers range is:16 to 32

So, the minimum value = 16

the maximum value = 32

the box ranges from 20 to 23. A line divides the box at 22.

so, the first quartile = 20

the third quartile = 23

the Median = 22

interquartile range(IQR) = 23 - 20

                                      = 3

And for the visiting team

Whiskers range :14 to 32

This means, the minimum value is 14 and the maximum value = 32

As the box ranges from 16 to 24 and a line divides the box at 18,

the first quartile is 16, the third quartile = 24 and the median = 18

So, the interquartile range (IQR) = 24 - 16

                                                   = 8

From above data analysis the inference is that the visiting team had more variability in their shots, because their distribution has a higher interquartile range (8 > 3)

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Given question is incomplete.

The complete question is:

A hockey coach recorded the number of shots taken by the home team and the number taken by the visiting team in 20 games. He displayed the results in the box plots below.A box plot titled Number of Shots Taken by home team players. The number line goes from 10 to 32. The whiskers range from 16 to 32, and the box ranges from 20 to 23. A line divides the box at 22.

Number of Shots Taken by Home Team Players

A box plot titled Number of Shots Taken by visiting team players. The number line goes from 10 to 32. The whiskers range from 14 to 32, and the box ranges from 16 to 24. A line divides the box at 18.

Number of Shots Taken by Visiting Team Players

Which describes an inference that the coach might make after comparing the medians of the two data sets?

Length of the car is 12 inches equal to 192 feet.

Using measuring instruments like a ruler, measuring tape, etc., one can measure the length of any object. A ruler can be used to determine, for instance, how many inches a pencil is long. A feet scale can be used to gauge the height of each student in a class.

The inch, foot, yard, and mile are the fundamental units of length and distance measurement in the English system. The rod, furlong, and chain are additional length units.

Given ,

3 inches : 4 feet

3 inches : 4*12

3 inches :48

1 inches : 16 feet

Length of the car is 12 inches = 12 * 16

Length of the car is 12 inches = 192 feet

The measurement or size of something from end to end is referred to as its length. To put it another way, it is the greater of the higher two or three dimensions of a geometric shape or object. For instance, a rectangle's length and width are its dimensions.

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The probability that you first choose a green marble and then a blue marble is, P(green then blue) = 1/5.

What is probability?

Simply put, probability measures how likely something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Given:

A bag contains 2 blue, 1 red, and 3 green marbles.

So, the total marbles are 2 + 1 + 3 = 6

The probability of selecting a green marble is:

P(Green) = 3/6

Now, there are 5 marbles left.

The probability of selecting a blue marble is:

P(Blue) = 2/5

The required probability is:

P = 3/6 * 2/5 = 6/30 = 1/5

Hence, the probability that you first choose a green marble and then a blue marble is, P(green then blue) = 1/5.

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Answer:

y^2(3+4)

7y^2

BTW isn't it too much to ask for high school level question?

The probability that no digit appears more than twice is 0.648.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here,

We will choose each digit of 5-digit numbers at random from digits 0,1,2,..,9.

We have to compute the probability that no digit appears more than twice.

So, we have to form a five-digit number say "abcde".

Now, for 'a' we have 10 choices.

For 'b' we have again 10 choices because a digit can appear at most two.

For 'c' we have 9 choices because the digit in 'a' can not be chosen as a digit can appear at most two.

For 'd' we have again 9 choices by a similar argument.

Finally, for 'e' we have 8 choices because the digit chosen previously can not be repeated more than twice.

The total number of such 5-digit numbers is = 10*10*9*9*8 = 64800.

Now, a total number of 5-digit numbers = 10*10*10*10*10 = 100000.

Hence, the probability that no digit appears more than twice is given by,

= 64800/ 100000

= 0.648

Hence, the probability that no digit appears more than twice is 0.648.

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Answer: i hope this helps

i need the brainliest

Step-by-step explanation:

Answer: 43 1/10

Step-by-step explanation:

Both equations relate dimensions in feet with dimensions in inches (one is the inverse of the other) so the correct option is C.

Mai and Noah tried to find an equation that relates dimensions in feet to equivalent dimensions inches.

Remember that the relation between inches and feet is:

1 feet = 12 inches.

Then, the number in inches in x feet, is 12 times that amount, so:

y = 12*x

That is the equation for Mai.

While the number of feet in x inches, is given by:

y = x/12

That is Noah's equation.

So, technically, both of them are correct. Both of their equations relate dimensions in feet with equivalent dimensions in inches.

So the correct option is C.

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Answer:

2

Step-by-step explanation:

Pick 2 coordinates on the line and do the formula for slope.

ex: (2,4) and 3,6)

4-6/2-3 = -2/-1 = 2

Answer:

Geometric sequence

Step-by-step explanation:

A geometric sequaence is when the term is multiplied or divided to get to the next term.

each term is being multiplied by 5

Answer:85%, 135%

Step-by-step explanation:

2/40 is 5%. There is 17 2's in 34 so the percentage is 17x5=85.

There is 27 2's in 54 so the percentage is 27x5=135.

x=5/3

x=-4

This is simple just rearrange and sub into quadratic formula. The formula will spit out two answers and those are your final answers. Enjoy!