it takes and airplane, flying with the wind, 4 hours to reach boston from denver. when an airplane flew back against the wind it took 5 hours to reach denver from boston.what is the speed of the airplane if the speed of the wind is 50 mph

Answers

Answer 1
Answer:  450 mph

========================================================

Explanation:

a = speed of airplane without any wind

a+50 = speed of the plane with the wind boosting it

distance = rate*time

d = r*t

d = (a+50)*4

This represents the plane traveling 4 hours at the speed of a+50 mph. We don't really care about the distance d.

The other equation to set up is

d = (a-50)*5

which means the plane is going slower at a-50 mph and travels for 5 hours this time.

The system of equations is

\(\begin{cases}d = (a+50)*4\\d = (a-50)*5\end{cases}\)

Both equations involve the same variables 'a' and d, which allows us to use substitution to solve for 'a' like so

d = (a+50)*4

(a-50)*5 = (a+50)*4

5a-250 = 4a+200

5a-4a = 200+250

a = 450

The speed of the plane, without any wind, is 450 mph


Related Questions

Which ordered pair (r, s) is the solution to the given system of equations?

(1, 8) (3, 8) (1, –2) (8, 3)

Answers

Answer:

(8,3)

Step-by-step explanation:

Edge 2020 hope this helps =)

Answer:

Answer D On edge

Step-by-step explanation:

i took the test

Find the volume of the cone below. Leave your answer in terms of pi.

Find the volume of the cone below. Leave your answer in terms of pi.

Answers

Answer:

ahaha it's B my guy

Step-by-step explanation:

peace out

-12 divided by 2.............

Answers

the answer to your question is -6

The hole for a support needs to be6 feet deep. It is currently 2 feet 9 inches deep. How much deeper must the hole be. Use the conversion factor 12 inches/ 1 foot

Answers

The hοle needs tο be 39 inches deeper.

What is the cοnversiοn factοr?

A cοnversiοn factοr is a number used tο change οne set οf units tο anοther, by multiplying οr dividing. When a cοnversiοn is necessary, the apprοpriate cοnversiοn factοr tο an equal value must be used. Fοr example, tο cοnvert inches tο feet, the apprοpriate cοnversiοn value is 12 inches equals 1 fοοt.

The current depth οf the hοle is 2 feet 9 inches, which is the same as 2 + 9/12 = 2.75 feet (since there are 12 inches in 1 fοοt).

Tο find οut hοw much deeper the hοle needs tο be, we need tο subtract the current depth frοm the required depth:

6 feet - 2.75 feet = 3.25 feet

Hοwever, we are asked tο express the answer in inches, sο we need tο cοnvert the 3.25 feet tο inches using the given cοnversiοn factοr:

3.25 feet x 12 inches/1 fοοt = 39 inches

Therefοre, the hοle needs tο be 39 inches deeper.

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2/10 convert to a decimal​

Answers

Answer:

0.2 is the answer

-your welcome and have a great day!!

elect all equations that represent the number of subscribers, , in terms of months since the beginning of the year (when she had 150 subscribers).

Answers

There are no equations provided in the question, so I am unable to select equations that represent the number of subscribers in terms of months since the beginning of the year. Please provide me with the equations to choose from.

Help help help help help help help math math

Help help help help help help help math math

Answers

Answer:

Step-by-step explanation:

5x + 10 + 10x + 5 = 180

15x + 15 = 180

15x = 165

x = 11

Yavonne has $15.90 in her checking account. She needs to buy items that cost $3.18 each. How many of these items can she buy?

a
4
b
5
c
6
d
7

Answers

Answer:

5.

Step-by-step explanation:

15.90 / 3.18 =

hey any help? (please make sure this is correct i'd appreciate it)

hey any help? (please make sure this is correct i'd appreciate it)

Answers

Answer:

Below

Step-by-step explanation:

Line AB is of the form y = mx + b    where m is the slope = 2

 Line BC is perpendicular to this and will have slope - 1/m = - 1/2   and includes the point C (0,6)

 The point slope form of line BC will then be

     ( y-6) = - 1/2 ( x - 0)    which can be re-arranged to

       y = - 1/2x + 6     < ==== equation for line BC

       

The weight of body is 420N. calculate its mass.​

Answers

Answer:

mass = 42 kg

Step-by-step explanation:

We know that we have the formula that

W = m * g

Then

given

weight (w) = 420

g = 10 m/s²

then

W = m* g

420 = m * 10

m = 420/10

m = 42 kg

Hope it helps :)

Answer:

Step-by-step explanation: weight = 420N

                                             mass= ?

                                    we know,

                                             weight = mass . acceleration due to gravity

                                             or,  420  = mass . 9.8

                                           therefore mass =  42.85 kg

Find the equation of the line.
Use exact numbers.
y= x+

Find the equation of the line.Use exact numbers.y= x+

Answers

Answer:

The equation of this line is y = -3x + 7

Step-by-step explanation:

Remember that when writing an equation for a graphed linear line, we must write it in slope intercept form (y=mx+b). The m represents the slope, and the b represents the y-intercept.

(The slope determines the direction in which the line goes, and is written as rise/run.)

In this case the slope is going to be negative, since the line is going downwards to the right. Additionally the slope of this line is -3/1 or just -3.

(The y-intercept is the point in which the line crosses the y-axis.)

In this case, since the line crosses the y-axis at positive 7, the y-intercept will be 7.

So all together we have y = -3x + 7.

Hope this helps you :)

please help and answer ASAP please will mark Brainlest

What is the value of x?

Enter your answer in the box.

x =
°

please help and answer ASAP please will mark BrainlestWhat is the value of x?Enter your answer in the

Answers

Answer:

80 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.

IF ANY ONE NEEDS HELP WITH ANY KIND OF WORK ILL DO IF FOR A BIT OF CASH I GRADUATED COLLEGE I KNOW WHAT I'M DOING step by step

Answers

Answer: sounds nice how does it work though?

Step-by-step explanation:

In ΔGHI, the measure of ∠I=90°, HI = 1.1 feet, and IG = 7.5 feet. Find the measure of ∠G to the nearest tenth of a degree.

Answers

Answer:

8.3

Step-by-step explanation:

Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours how far did Simon drive in all

Answers

Answer:

415 miles

Step-by-step explanation:

Start with the speed equation:

speed = distance/time

Now solve the speed equation for distance:

distance = speed × time

Apply the speed equation solved for distance to the two parts of the trip.

4 hours at 55 mph:

distance = 55 mph × 4 hours = 220 miles

3 hours at 65 mph:

distance = 65 mph × 3 hours = 195 miles

Add the two distances to find the total distance:

total distance = 220 miles + 195 miles = 415 miles

Answer: 415 miles

Answer:

415 miles

Step-by-step explanation:

Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours.

How far did he drive?

d=rt

For the first part of the trip:

d = 55 * 4 = 220 miles

For the second part of the trip:

d = 65*3 =195 miles

Add the miles together

220+195 = 415 miles

Sloane and Joey are saving up to buy a drone. The cheapest drone they found costs more than $120. They broke open their piggy banks to find
that they already have $48 if they put their money together. They earn $12 a week combined for doing chores around the house. What is the
fewest number of weeks they will have to save their allowance in order to have a combined total of more than $120 to buy a new drone?

Answers

One little piggy is your correct answerpp

Answer:

7 weeks

Step-by-step explanation:

So, the question is the number of weeks. What we need to know is in how many weeks exactly are we going to earn more 120 $. The clue given in the question is that,' They earn 12 $ per week.

That can also be written as,

1 week = 12 $

If in one week, we'll earn 12 $ then in how many weeks will we earn more than 120 $ ( Remember, the money should be more than twenty but also the least number which is more than 20.)

So, here we write

1 week= 12 $

2 weeks= 12 × 2 = 24 $

3 weeks= 36 $

4 weeks= 48 $

5 weeks= 60 $

6 weeks= 72 $

7 weeks= 84 $

Now if you wish to verify, you can do the calculations as follows;

84 + 48 = 132$

So, 132 $ is more than 20 and the least number more than 20. Thus, the statement also shows that if it's the least number more than 20, it should also be the least number of weeks.

Hope it helps!

Let the universal set be the set of integers and let A​ = {x​ | ​≤ 5}. Write A using the roster method.

Answers

Answer: A = {..., -1, 0, 1, 2, 3, 4, 5}

Step-by-step explanation:

We have that the set A is the set of all the integers equal to or smaller than 5.

To write in the Roster Method, we must list all the elements of this set, but we know that this set extends to minus infinity, then we should start with an ellipsis:

A = {...

Which means that it continues in that direction.

Then we can implicitly write the end of our set, and also some of the points so we can know the relation between the points in the set.

A = {..., -1, 0, 1, 2, 3, 4, 5}

And that is the set A in written with the Roster Method

Use the image to determine the direction and angle of rotation.

graph of triangle ABC in quadrant 4 and a second polygon A prime B prime C prime in quadrant 2

90° clockwise rotation
90° counterclockwise rotation
180° clockwise rotation
270° counterclockwise rotation

Answers

The angle of rotation for the described transformation is

180° clockwise rotation

How to know the angle of rotation

The movement or transformation described is form quadrant 4 to quadrant  2.

The transformation will require 180 degrees transformation.

In this type of transformation, both clockwise and the counter clockwise have similar effects

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Classify each function as a power function, root function, polynomial (state its degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function.
(a) y=Ï€x
(b) y=xπ
(c) y=x2(2−x3)
(d) y=tant−cost
(e) y=s1+s
(f) y=x3−1√1+x√3

Answers

(a) f(x) =  \(log_2(x)\) is a logarithmic function

(b) g(x) = ∜x is a root function

(c) h(x) = \(2x^3/(1 - x^2)\) is a rational function

(d) u(t) = 1 - 1.1t + \(2.54t^2\) is a polynomial of degree 2

(e) v(t) = \(5^t\)is an exponential function

(f) w(θ) = sin θ \(cos^{2}\theta\) is a trigonometric function.

(a) f(x) = \(log_2(x)\) is a logarithmic function. Logarithmic functions have the logarithm of the independent variable as the output. Here, the logarithm base is 2.

(b) g(x) = ∜x is a root function. Root functions have the square root or higher roots of the independent variable as the output. Here, the root is a cube root.

(c) h(x) = \(2x^3/(1 - x^2)\) is a rational function. Rational functions are functions that are expressed as the quotient of two polynomials. Here, the numerator is a cubic polynomial and the denominator is a quadratic polynomial.

(d) u(t) = 1 - 1.1t + \(2.54t^2\) is a polynomial of degree 2. Polynomials are functions that are expressed as a sum of powers of the independent variable, with coefficients. The degree of a polynomial is the highest power of the independent variable.

(e) v(t) = \(5^t\) is an exponential function. Exponential functions have the independent variable as the exponent. Here, the base is 5.

(f) w(θ) = sin θ \(cos^{2}\theta\) is an algebraic function and a trigonometric function. Algebraic functions are functions that can be expressed using arithmetic operations and algebraic expressions. Trigonometric functions are functions that involve the ratios of the sides of a right triangle. Here, the function is a combination of sine and cosine functions.

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The complete question is -

Classify each function as a power function, root function, polynomial (state its degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function.

(a) f(x) =  \(log_2(x)\)    

(b) g(x) = ∜x    

(c) h(x) = \(2x^3/(1 - x^2)\)    

(d) u(t) = 1 - 1.1t + \(2.54t^2\)                    

(e) v(t) = \(5^t\)    

(f) w(θ) = sin θ \(cos^{2}\theta\)

consider the continuous random variable x, which has a uniform distribution over the interval from 40 to 44. the variance of x is approximately . a. 46 b. 1.333 c. 1.155 d. 0.333

Answers

Consider the continuous random variable x that has a uniform distribution over the interval from 40 to 44. The variance of 'x' is approximately C: 1.155.

The variance of a continuous uniform distribution over the interval [a, b] is determined by the formula given as follows:

Var(x) = (b-a)^2 / 12

For the given distribution, a = 40 and b = 44, so the variance is calculated by putting these values into the above formula:

Var(x) = (44 - 40)^2 / 12 = 1.155

Therefore, the variance of 'x' is approximately 1.155

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x is rounded to 1 decimal place is 3.7
Write down the error interval for x.

Answers

The error interval for x will be 3.65<x<3.75 rounded to 1 decimal place.

What is interval notation?

It is defined as the representation of a set of values that satisfy a relation or a function. It can be represented as open brackets and close brackets the close brackets mean the value at the close bracket is also included, and the open bracket means the value at the open bracket does not include.

It is given that, the number is 3.7.

We have to find the error interval for x rounded to 1 decimal place for the number 3.7.

Thus, the error interval for x will be 3.65<x<3.75 rounded to 1 decimal place.

When a number has been rounded or truncated, error intervals are the upper bounds of accuracy. They represent the range of values that a number might have had before being rounded or truncated.

This is so that we may round the range of 3.65 to 3.75 to one decimal place, and as 3.74 or less is considered to be below 3.75, rounding to one decimal place gives us 3.7.

Thus, the error interval for x will be 3.65<x<3.75 rounded to 1 decimal place.

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URGENT!!!! Find the y-intercept of the line that passes through the points (-3, 7) and (3, −9).

Answers

Answer:

\(m = \frac{ - 9 - 7}{3 - ( - 3)} = \frac{ - 16}{6} = - \frac{8}{3} \)

\(7 = - \frac{8}{3} ( - 3) + b\)

\(7 = 8 + b\)

\(b = - 1\)

\(y = - \frac{8}{3} x - 1\)

The y-intercept is -1.

Find the smallest positive integer that satisfies both of the following equations: = 3 (mod4) and = 5 (mod6)

Answers

Answer:

x=3mod4

Means that when x is divided by 4 it gives an unknown integer and a remainder of 3.

x/4 = Z + 3/4

Z= (x-3)/4

Where Z is the integer

x=5 mod6

x/6 = Y + 5/6

Y = (x-5)/6

Where Y is the integer

Z-Y must be an integer on equal to zero

(x-3)/4 - (x-5)/6

3(x-3)/12 - 2(x-5)/12

(3x-9-2x+10)/12

(x+1)/12

If it is equal to 0

x=-1. But x should be positive

If it is equal to 1

x=11

Hence the smallest possible number is 11

Finding Horizontal and Vertical Translations
Thy it
If the point G(-4, 6) was moved horizontally 4 units to the left, which of the following is the correct mapping to define
the translation?
O (x, y) = (x, y + 4)
O (x,y) → (x + 4, y)
O (x,y) → (x, y - 4)
O (x,y) → (x-4, Y)

Answers

Help me with this pleaseeeee
Finding Horizontal and Vertical TranslationsThy itIf the point G(-4, 6) was moved horizontally 4 units
The answer would be B

Residents in a city are charged for water usage every three months. The water bill is computed from a common fee, along with the amount of water the customers use. The last water bills for 40 neighborhood residents are displayed in the histogram below. A histogram titled Neighborhood Monthly water bill has monthly water bill (dollars) on the x-axis and frequency on the y-axis. 100 to 125, 1; 125 to 150, 2; 150 to 175, 5; 175 to 200, 10; 200 to 225, 13; 225 to 250, 8. Which interval shows the greatest change in water bills? $150–$175 $175–$200 $200–$225 $225–$250

Answers

$200-$225  interval shows the greatest change in water bills

What is Histogram?

A diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval.

The interval which contains the median water bill is $200 - $225

The tabulated data  is given in the attachment.

The median class = Cummulative frequency / 2

The median class = 40 / 2

The class interval which contains the 20th frequency.

This is the 200 - 225 class

The interval which contains the median water bill is $200 - $225

Hence $200-$225  interval shows the greatest change in water bills

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Residents in a city are charged for water usage every three months. The water bill is computed from a

Answer:

C)$200–$225

Step-by-step explanation:

edge 2023


Tanvi and her friend Beth are making cookies for their school's cookie swap. Tanvi mixes 1
cup of chocolate chips and 3 cups of plain sugar cookie dough in a small bowl. Beth mixes 2
cups of chocolate chips and 6 cups of plain sugar cookie dough in a larger bowl. Once the
cookies are baked, the girls are ready for a chocolaty snack. Whose batch of cookies was
more chocolaty?

Answers

Answer:

they are the same

Step-by-step explanation:

the ratios if in simplest form are both 1/3

Hector saved $726 in 6 months. he saved the same amount each month. How much did hector save each month? I don’t have the answer and I don’t get it !

Answers

Answer:

He saved $121

Step-by-step explanation:

All you have to do is divide $726/6 which gives you $121.

$121
Hope this helps!

A high school robotics club sold cupcakes at a fundraising event.

They charged $2.00 for a single cupcake, and $4.00 for a package of 3 cupcakes.
They sold a total of 350 cupcakes, and the total sales amount was $625.
The system of equations below can be solved for , the number of single cupcakes sold, and , the number of packages of 3 cupcakes sold.


Multiply the first equation by 2. Then subtract the second equation. What is the resulting equation?

x + 3y = 350
2x + 4= 625

Type your response in the box below.

$$

Answers

The resulting equation after multiplying the first equation by 2 and subtracting the second equation is:

-5y = -375

1. Given equations:

  - x + 3y = 350    (Equation 1)

  - 2x + 4y = 625   (Equation 2)

2. Multiply Equation 1 by 2:

  - 2(x + 3y) = 2(350)

  - 2x + 6y = 700    (Equation 3)

3. Subtract Equation 2 from Equation 3:

  - (2x + 6y) - (2x + 4y) = 700 - 625

  - 2x - 2x + 6y - 4y = 75

  - 2y = 75

4. Simplify Equation 4:

  -2y = 75

5. To isolate the variable y, divide both sides of Equation 5 by -2:

  y = 75 / -2

  y = -37.5

6. Therefore, the resulting equation is:

  -5y = -375

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PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!

PLS HURRY I AM GIVING BRAINLIEST!!!the question is in the photo!!

Answers

Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No

A barbecue restaurant gives 3 napkins for every 5 items ordered. if an order is for 30 items, how many napkins should be given? Use the double number line diagram to solve.​

Answers

Answer:

18 napkins

Step-by-step explanation:

If the restaurant gives 3 napkins for every 5 items ordered, and there's 30 items... you must divide 30 by 5 which is 6. Then, multiply 6 by 3. Therefore the answer is 18.

\(30 \div 5 = 6\)

\(6 \times 3 = 18\)

Hope this helped:)

Answer:

18 napkins

Step-by-step explanation:

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The equation that best represents this processis:KS(s) K(s) + 2 S(s)KS(s) K(s) + 2 S(s)KSO4(s) 2 K (aq) + SO4 (aq)KS(s) 2 K (aq) + S (aq)KSO4(s) 2 K(s) + SO4(g)KS(s)2 K (aq) + S (aq)KSO4(s)2 K(s) - SO4(g)KSO4(s) 2 K (aq) + SO4(aq) also these and thank yall remember all questions answerd Briefly describe each of the suns layers. Ill give brainless The slope of a line is and the y-intercept is 4. Which choice is the x-intercept of this line? 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Question 11 Which type of fatty acids are freely transported across the intestinal wall? O small chain fatty acids O long chain fatty acids O glucose O medium chain fatty acids PLEAAASE HEEEEEELPAudrey's car used 1 2/5 gallons to travel 38 1/2 miles. At what rate does the car use gas, in miles per gallon? ANSWER CORRECTLY AND FAST PLEASE at least 20 characters Answer each of the following questions using the Colonial Adventure Tours data shown in Figures 1-4 through 1-8 in Chapter 1. No computer work is required.Using the types of entities found in the Colonial Adventure Tours database (trips, guides, customers, and reservations), create an example of a table that is in first normal form but not in second normal form, and an example of a table that is in second normal form but not in third normal form. In each case, justify your answers and show how to convert to the higher forms.Step-by-step solutionStep 1 of 3COLONIAL ADVENTURE TOURS DATABASE :CAT is a small business that organizes tours to New England. Likewise the TAL Distributors, CAT has decided to store its data in a database. So has developed the COLONIAL ADVENTURE TOURS DATABASE that avoids the data loss and to ensure that the data is current and accurate.Step 2 of 3Refer to Fig. 1-4 through Fig. 1-8 in Chapter 1 for the related database and the tables as TRIP, GUIDE, CUSTOMER, RESERVATION. It is stated that an example table is to be created such that it is in the first normal form but not in the second normal form. And another example that is in the second normal form but not in the third normal form.First Normal Form of Normalization :A relation is said to be in the first normal form if and only if the domain of each attribute contains only atomic or unique values, and that the value of each attribute contains only a single value from the respective domain.Second Normal Form of Normalization :A table or in general a relation is said to be in a second normal form if and only if it is in the first normal form and that no non-key column is dependent on only a portion of the primary key.Third Normal Form of Normalization :A table is said to be in the third normal form if and only if it is in the second normal form and if the only determinants it contains are the candidate keys.Step 3 of 3Based on the tables that has been provided it is clear that many number of solutions are possible for the creation of the sample tables based on the requirements, but for example, considering one possible solution : 1NF but not 2NF :TRIPGUIDES (TRIP_ID, GUIDE_NUM, TRIP_NAME)Here, the table consists of three columns as the TRIP_ID, GUIDE_NUM, TRIP_NAME where the id and the number serves as the primary keys for the table. 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