State A and state B are among the states with the most remaining drive in movie screens. State A has 4 more screens than state B. There are 46 screens total in two states. How many drive in movie screens remain in each state?

Answers

Answer 1
State A has 25 drive-in movie screens and State B has 21. You find this by guess-and-checking different numbers that you could add together to get 46. You want to do numbers that are relatively close, as a difference in 4 is not much at all. You can divide 46 by 2 and then play around from there.

Related Questions

Minni has to buy stickers, erasers, and a pencil. She can only spend $4. A sticker costs $0.35, an eraser costs $0.99, and a pencil costs $0.59. Can Minni buy 2 stickers and 2 erasers?

[Use the inequality 0.35x + 0.99y + 0.59 ≤ 4]

Yes, because the total will be $3.27
Yes, because the total will be $1.93
No, because the total will be $4.27
No, because the total will be $5.93

Answers

Answer:

The answer to your question is A. Yes, because the total will be $3.27

0.35(2)+0.99(2)+0.59≤4.

Then you multiply: .35(2)=.70. .99(2)=1.98.

Then add: .70+1.98+.59=3.27, so yes she can since 3.27 is less than 4 :)

Step-by-step explanation:

I hope this helps and have a good day!

As a general guideline, the research hypothesis should be stated as the _____. a. null hypothesis b. alternative hypothesis
c. hypothesis the researcher wants to disprove d. tentative assumption

Answers

As a general guideline, the research hypothesis should be stated as the B alternative hypothesis

What is a hypothesis?

A statement of expectation or prediction that will be put to the test through research is called a research hypothesis. Learn more about the subject that interests you before developing your research hypothesis. A straightforward hypothesis is a claim that expresses the relationship between precisely two variables.

An assertion used in statistical inference experiments is known as the alternative hypothesis. Another way to put it is that it is just a different option from the null. An alternative theory in hypothesis testing is a claim that the researcher is testing.

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15. Eric earns $8.30 per hour at work. If he
worked 16.8 hours this past week, how
much will he earn? Round to the nearest
cent.

Answers

$8.30 ------ 1 hour

x -------------- 16.8 hours

x= (8.30)(16.8)/1

x= $ 139.44

7. [Global Optimization on Domains] [P] Find the absolute maximum and minimum values of the function on the described domain. When checking for extrema on any boundaries, you may choose whether you want to use a parametrization or Lagrange Multipliers; some problems might be easiest when using a combination. (a)f(x,y)=x 2 −y 2 −2xy−2x, on the triangular region whose vertices are(1,0),(0,1), and(−1,0). (b)g(x,y)=x+xy−2y 2, on the domainy≥0,y≤ x​,x≤1. (c)h(x,y)=e xy, on the disk( 2x​ ) 2 +y 2 ≤1. t† If you use your answers to part (a) and part (b) to justify why this is a maximum, you don't have to do the second rivative test. (d)f(x,y)=xy, on the part of the curve2x 3 +y 3 =16which is in the first quadrant (including endpoints). (e)g(x,y)=x 2 +3y, on the line segment from(−2,2)to(2,−2). (f)h(x,y,z)=x+2y+3z, on the unit sphere.

Answers

(a) The Absolute minimum value is -3/2 and maximum value is 3.

(b) We have global minima at x = 4/9 and global minimum value at x = −4/27.

(c) Global maximum value of function is 2.72 and minimum value of function is 0.37.

a) Given function as:

f(x,y)=x2-y2-2xy-2x

The triangular region described by the vertices (1,0),(0,1) and (-1,0) can be described by the straight lines :

a) Straight line joining (1,0) and (0,1) i.e y= 1-x

b) Straight line joining (0,1) and (-1,0) i.e y= 1+x

c) Straight line joining (-1,0) and (1,0) i.e the x axis where y=0

When y=0, we have, x^2-2x

Now, df/dx=0 for maxima / minima

2x-2=0

X=1

Also, d^(2)f/dx^(2)=2>0 and df/dx<0 for x<1

So, we have minimum value = 12−2×1=−1

and maximum value = (−1)2−2×−1=3

When y=1+x, we have ,

f(x,y)=x^2−(1+x)^2−2x(1+x)−2x

df/dx=2x−2(1+x)−2x−2(1+x)−2

=−6−4x<0, for  x>−3/2

Hence f(x,y) is always decreasing function in the interval x=[-1,0] , with minimum

=f(0,1)

=02−12−2×0×1−2×0

=−1

Maximum value = f(-1,0)

=(−1)2−02−2×−1×0−2×−1

=1−0+2

=3

When y= 1-x, we have,

f(x,y)=x^2−(1−x)^2−2x(1−x)−2x

df/dx=2x+2(1−x)+2x−2(1−x)−2

=4x−2>0,for x>1/2

Hence at x=1/2,we have df/dx=0 which is global minima point since

d2(f)/dx2=4>0

So, minimum value for y = 1- x

=f(1/2,1/2)

=1/22−1/22−2×1/2×1/2−2×1/2

=−1/2−1=−3/2

Maximum value in the interval [ 0 1] shall be

=max(f(0,1).f(1,0))

=max(−1,−1)=−1

So, considering all points on this triangle , we have absolute maximum

= max(f(x,y) for y=0, f(x,y) for y=1+x, f(x,y) for y=1-x)

=max(3,3,−1)

=3

Absolute minimum considering all points on the triangle

= min(f(x,y) for y=0, f(x,y) for y=1+x, f(x,y) for y=1-x)

=min(−1,−1,−1.5)

=−3/2

b) Given g(x,y)=x+xy−2y2

When y=x0.5, we have,

g(x,y)=x+x^1.5−2x

=x^1.5−x

For the domain x = [0 , 1], we have ,

dg/dx=1.5×x^0.5−1=0

x=4/9

d^2(g)/d^x2=0.75x0.5>0 for x=4/9

Hence, we have global minima at x = 4/9 and global minimum value

=(4/9)1.5−49

=8/27−4/9

=−4/27

Global maximum = max(g(0,0),g(1,1))

=max(0,0)

=0

c) Given h(x,y)=exp⁡(xy)

When (x/2)^{2}+y^{2}=1, we have

y=(1−x^{2}/4)^0.5

So, h(x,y) = \(\text{exp}\left(x(1-\frac{x^{2}}{4})^{0.5}\right)\)

Now,dh/dx=\(\text{exp}\left(x(1-\frac{x^{2}}{4})^{0.5}\right) \times ((1-\frac{x^2}{4})^{0.5}+0.5x\times\frac{-x/2}{(1-x^2/4)^{0.5}}\)

For maxima / minima , we mush have ,

dh/dx=0

\((1-\frac{x^2}{4})^{0.5}+0.5x\times\frac{-x/2}{(1-x^2/4)^{0.5}}\)5=0

\((1-x^2/4)^{0.5}-0.25 \frac{x^2}{(1-x^2/4)^{0.5}}\)=0

\(1-x^2/4-0.25x^2\)=0

1−x^2/2=0

x = 1.41,−1.41

In the range [-1.41,1.41], we always have dh/dx>0

At x=20.5and x=−20.5, we have

y=(1−x2/4) 0.5

=(1−24)0.5

=120.5,−120.5

Global maximum value of function

=f(20.5,1/20.5)

=exp(1)

=2.72

Global minimum value of function

=f(20.5,−1/20.5)

=exp(−1)

=(0.37)

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100000000000000000000+10000000000000000

Answers

Answer:

1.0001e+20

Step-by-step explanation:

Answer:

1.0001e+20

Step-by-step explanation:

In ABCD, m B = (5x + 14), m/C = (2+19)", and mZD = (2x + 19).
What is the value of x?

Answers

Answer:

x=38

Step-by-step explanation:

A store had apples on sale for ​$1.10 a pound. Mike spent ​$5.94 on apples. How many pounds did ​buy?

Answers

Answer:

5.4 lbs

Step-by-step explanation:

5.94 / 1.10 = 5.4

hope this helps! <3

"simplify 3/5+(-1/4) ÷ 7/10" How can you answer this question. and what's the answer, can you help me out please ​

Answers

Answer:

s

Step-by-step explanation:

Answer:

17/70

Step-by-step explanation:

First use PEMDAS which is the order to solve questions like these.

Parenthesis

Exponents

Multiplication

Division

Addition

and Subtraction

There is one parenthesis which has a (-1/4) so let's start with that, we know that when there is a negative and a positive sign the negative out rules the positive

3/5-1/4 divided by 7/10      (Sorry I don't have the division sign on my device)

There are no exponents or multiplication but there is division

-1/4 divided by 7/10 is -5/14

3/5-5/14 is 17/70

Thus, our answer is 17/70

Simplify 7+5c+4d-8c+d

Answers

Step-by-step explanation:

if there is no typo the expression is :

7 + 5c + 4d - 8c + d

to simplify combine all terms with the same variable and exponent of that variable.

so, this is

7 + (5c - 8c) + (4d + d) = 7 - 3c + 5d

Answer:

-3c+5d+7

Step-by-step explanation:

Using the graph as your guide, complete the following statement.
The discriminant of the function is
O A. negative
OB zero
O C positive

Answers

Answer:it’s ZERO

Step-by-step explanation:

The discriminant of the function is zero

What is a function?

A relation is a function if it has only One y-value for each x-value.

The discriminant tells you where the graph of the parabola goes through the x-axis, if at all.

If the discriminant is negative there are no real zeros and the parabola does not cross or touch the x-axis;

if the discriminant is positive the parabola will go through the x axis in 2 places;

if the discriminant is 0 the parabola will touch the x-axis in 1 place.

Our discriminant is 0 since the parabola only touches the x-axis but does not go through.

Hence, the discriminant of the function is zero

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Using the graph as your guide, complete the following statement.The discriminant of the function isO

solve the inequality-2+4x<14

Answers

Answer: x<4

Step-by-step explanation:

If we break this down as

-2+4x<14 and we add 2 to both sides

4x+<16 and divide by 4

and you get x<4

pls help ill give a 100 jusrt answer these question and ill even give brainliest

pls help ill give a 100 jusrt answer these question and ill even give brainliest
pls help ill give a 100 jusrt answer these question and ill even give brainliest
pls help ill give a 100 jusrt answer these question and ill even give brainliest

Answers

Answer:

That is a lot of questions to answer. But I will try.

5)

a) 6 square units

b) 5/6

Second picture

1. Area = 6

2. Area = 4.5

3. Area = 20

4. Area = 9

5. Area = 17.5

Third picture

a) 8 units because if you move the bottom triangle to the top of the other triangle it makes a rectangle with height of 2 and length of 4.

I'm sorry I have to go I would love to finish this but I hope what I gave helps you!

Answer:

no

Step-by-step explanation:

The mean of a set of data is 25 with a standard deviation of 2. What is the interval about the mean of the data within one standard deviation?

Answers

23-27

you simply need to subtract and add the standard deviation once to the mean to find the interval within one standard deviation.

25-2 = 23 (minimum of the interval), 25+2 = 27 (maximum of the interval)


HELP PLEASE!!!!!!!!!!!!

HELP PLEASE!!!!!!!!!!!!

Answers

How you solve: 5x5 = 25 4x2= 8
25+8= 33

Thank you for taking the time out of your day to help me. Appreciate it.

Thank you for taking the time out of your day to help me. Appreciate it.

Answers

Answer:

calculator gave me 6.5732

Step-by-step explanation:

Calculate the surface area and volume for each cylinder.
Surface Area = (² x 2) + (nd x h)
2 x h
Volume
2.
r = 1.75 in h = 2.2 in
Surface Area =
Volume=
d=4.3 mm h= 2 mm
Surface Area =
Volume=
Find the volume

Answers

The surface area and volume of the second cylinder are given in square millimeters and cubic millimeters, V =

The given dimensions for cylinders are:

r = 1.75 in, h = 2.2 in Surface Area of Cylinder:

S = 2πr² + 2πrh

The surface area formula of a cylinder is  S = (2 * pi * \(r^2\)) + (2 * pi * r * h).

S = (2 * 3.14 * 1.75²) + (2 * 3.14 * 1.75 * 2.2)

= 44.33 + 38.49

= 82.82 square inches.

Volume of Cylinder: V = πr²h

The formula to calculate the volume of a cylinder is given by V = pi * \(r^2\) * h.

Volume = 3.14 * 1.75² * 2.2 = 20.28 cubic inches.

Volume = π(1.75)²(2.2)

Volume ≈ π(3.0625)(2.2)

Volume ≈ 6.7375π cubic inches

The given dimensions for cylinders are: d = 4.3 mm, h = 2 mm

Surface Area of Cylinder: S = 2πr² + 2πrhS = (2 * 3.14 * 2.15²) + (2 * 3.14 * 2.15 * 2) = 67.65 square millimeters.

Volume of Cylinder: V = πr²hV = 3.14 * 2.15² * 2 = 28.33 cubic millimeters.

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Four transformations of the function f(x)=2x+3 are given below. For each transformation, drag the expression that shows the result of that transformation into the box under it.

Answers

These are the transformed functions for each of the four transformations mentioned.

Vertical translation (shift) by k units: f(x) + k

Horizontal translation (shift) by h units: f(x - h)

Vertical stretch/compression by a factor of c: c * f(x)

Reflection across the x-axis: -f(x)

Replace k, h, and c with the desired values to obtain the specific transformed functions.
Here are four common types of transformations:
Vertical translation (shift) by k units: f(x) + k
Horizontal translation (shift) by h units: f(x - h)
Vertical stretch/compression by a factor of c: c * f(x)
Reflection across the x-axis: -f(x)
For the function f(x) = 2x + 3,

let's apply these transformations:
Vertical translation (shift) by k units: f(x) + k -> 2x + 3 + k (where k is the number of units shifted vertically)

Horizontal translation (shift) by h units: f(x - h) -> 2(x - h) + 3 (where h is the number of units shifted horizontally)
Vertical stretch/compression by a factor of c: c * f(x) -> c(2x + 3) (where c is the stretch/compression factor)
Reflection across the x-axis: -f(x) -> -(2x + 3).

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answer quick for brainliest​

answer quick for brainliest

Answers

Therefore, P(K|J) is equal to 1/5 in its simplest form.

What is fraction?

A fraction is a mathematical expression that represents a part of a whole. It is written in the form of one integer (the numerator) divided by another integer (the denominator), separated by a horizontal line. For example, the fraction 2/5 represents two parts out of a total of five parts.

The numerator represents the number of parts we are interested in, while the denominator represents the total number of equal parts that make up the whole. Fractions can be proper (the numerator is less than the denominator), improper (the numerator is greater than or equal to the denominator), or mixed (a whole number and a fraction together). Fractions are used in a wide range of mathematical operations, such as addition, subtraction, multiplication, and division.

by the question.

We can use the formula P(B/A) = P(B∩A)/P(A) to calculate P(KJ), where A is the event that J occurs, and B is the event that K and J occur.

First, we need to find P(K|J∩N). We can use the formula P(JNK) = P(KJ∩N)/P(J) to find this value.

\(P(K|J∩N) = P(JNK) * P(J) = (1/5) * (3/7) = 3/35\)

Next, we need to find P(J) = 3/7.

Finally, we can use the formula P(K|J) = P(K|J∩N)/P(J) to find P(KJ):

\(P(K|J) = P(KJ∩N)/P(J) = (3/35) / (3/7) = (3/35) * (7/3) = 1/5\)

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A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the number of heartbeats after t minutes. When the data in the table are graphed, the slope of the tangent line represents the heart rate in beats per minute.??t (min) 36 38 40 42 44?Heartbeats 2510 2647 2784 2915 3048??The monitor estimates this value by calculating the slope of a secant line. Use the data to estimate the patient's heart rate after 42 minutes using the secant line between the points with the given values of t. (Round your answers to one decimal place.)??
(a) t = 36 and t = 42
(b) t = 38 and t = 42
(c) t = 40 and t = 42
(d) t = 42 and t = 44

Answers

Therefore , coordinate problem solution is A) 3140 pulses per minute , B) 2915 beats per minute , C) heartbeat of 2915 beats per minute (D) or 2915.5 beats per minute .

What do coordinates mean?

When locating points or other mathematical objects precisely on a region, such as Euclidean space, a coordinate system is a technique that uses one or more numbers or coordinates. Locating a point or item on a the double plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y vectors are used to define a point's location on a 2D plane. a collection of numbers that indicate specific locations.

Here,

The slope method can be used to calculate the patient's heart rhythm after 42 minutes that use the secant line connecting the points with the specified values of t:

Heartbeat change / time change is the trend.

The heart rate can then be estimated using this slope value along with the number for heartbeats at t = 42 minutes.

A)Using coordinates 36, 2510, and 42, 2915 as examples:

Cardiac rate at 42 minutes = 2510 + (42 - 36) * 75 = 3140 Slope = (2915 - 2510) / (42 - 36) = 75

b) Using coordinates (38, 2647) and (42, 2915), respectively:

Cardiac rate at 42 minutes = 2647 + (42 - 38) * 67 = 2915 Slope = (2915 - 2647) / (42 - 38) = 67

c) Applying the values (40, 2784) and (42, 2915):

Heart rate at 42 minutes = 2784 + (42 - 40) * 65.5 = 2915.5 Slope = (2915 - 2784) / (42 - 40) = 65.5

Using coordinates (42, 2915), and (44, 3048), respectively:

Cardiac rate at 42 minutes = 2915 + (42 - 42) * 66.5 = 2915 Slope: (3048 - 2915) / (44 - 42) = 66.5

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What is the description of 2m+7

Answers

Answer:

two times a number (m) is increased by 7

Step-by-step explanation:

Answer: two times a number (m) is increased by 7 or 7 more then twice a number (m)

a) If a = x and b = 2x2, then 2ab = ​

Answers

Answer:

Step-by-step explanation:

a = x

b = 2x^2

ab = x * 2x^2

ab = 2 x^3

2ab = 4 * x^3

Nolan was given a box of assorted chocolates for his birthday. Each night, Nolan treated himself to some chocolates. There were originally 30 chocolates in the box and after 8 nights, there were 6 chocolates remaining in the box. Write an equation for
C
,
C, in terms of
t
,
t, representing the number of chocolates remaining in the box
t
t days after Nolan's birthday.

Answers

The equation of remaining chocolate C  in terms of t is C = 30 - 3t.

What is an equation?

A mathematical statement called an equation demonstrates the balance or equality of two expressions. It contains of variables, integers, and mathematical operations and is denoted by the equal symbol (=). Equations may be solved to determine unknown values and are used to express relationships between various quantities. To solve for x in the equation 2x + 3 = 7, for instance, remove 3 from both sides, which gives 2x = 4, then divide both sides by 2, which gives x = 2.

Given that,

Initial number of chocolates in box = 30

Also given that after 8 nights, number of remaining chocolates = 6

Implies that,

In 8 nights, 24 chocolates were treated.

In 1 night, 3 chocolates were treated.

The equation of remaining chocolate C  in terms of t can be written as

C = 30 - 3t.

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A student makes a number of measurements of electrical current in the circuit. The average of the measurements is 12.33 mA. The standard deviation of the sample is 0.14 mA. How should this measurement be written to the correct number of significant figures with error range to show a 95% confidence

Answers

Answer:

The way to represent this it is

\( 12.33 - \frac{0.27}{\sqrt{n} } < \mu < 12.33 + \frac{0.27}{\sqrt{n} } \)

Step-by-step explanation:

From the question we are told that

The sample mean is

The standard deviation is

Given that the confidence level is 95% then the level of significance is mathematically represented as

\(\alpha = (100-95)\)

\(\alpha = 0.05\)

The critical value for \(\frac{\alpha }{2}\) is obtained from the normal distribution table that value is

\(Z_{\frac{\alpha }{2} } = 1.96\)

Now the margin of error is mathematically represented as

\(E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }\)

\(E = \frac{0.27}{\sqrt{n} }\)

Now the error range to show a 95% confidence is mathematically represented as

\(\= x - E < \mu < \= x + E\)

           \( 12.33  -   \frac{0.27}{\sqrt{n} } <  \mu < 12.33  +   \frac{0.27}{\sqrt{n} } \)

Here notice that the significant figure is keep to three to match the significant figure of the given values

15 plants in 3 rows =
plants per row


HELPPPPP

Answers

Answer:

Step-by-step explanation:

45

Answer:

Step-by-step explanation:

5

there are n people seated at a round table.

Answers

Step-by-step explanation:

circular permutations of n objects =(n-1)!

3.
The angles of a triangle are 120°, (x + 16)°, and x°.
What is the value of x?
Pls explain how you get the answer

3.The angles of a triangle are 120, (x + 16), and x.What is the value of x? Pls explain how you get the

Answers

The triangle has a value of x=22°.

What is a triangle?

The three vertices of a triangle make it a three-sided polygon. The angles of the triangle are formed by the three sides' end-to-end connections at a point. 180 degrees is the sum of the triangle's three angles.

Having three sides, a triangle is a form. Each kind of triangle has a unique name. The size of the angles and side lengths determine what kind of triangle it is (corners). Triangles can be classified as equilateral, isosceles, or scalene depending on how long their sides are.

The sum of all the angles in a triangle must be °

120° + (x+16)° + x° = 180°

2x + 136° = 180°

2x = 180° - 136°

2x° = 44°

x = 22°

The triangle has a value of x=22°.

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researcher is using a Kruskal-Wallis test to evaluate the difference between three treatment conditions using a sample of n-8 in each treatment. What value of H is necessary to conclude that there is a significant difference among the treatments using a 05 Select one O a. H25.99 Ob. H2 347 c H2 1.96 O d. H 2080

Answers

C. H2 1,96

To establish whether there is a significant difference between treatments using the Kruskal-Wallis test, the calculated value of H should be compared to the critical values ​​in the table of H values. The critical value of H to use depends on the significance level chosen for the test (0.05 in this case).

Using a significance level of 0.05, the critical value of H for a sample size of n-8 for each treatment is approximately H2 1.96. That is, if the calculated H value is greater than 1.96, we can conclude that there is a significant difference between the treatments.

Hence, the correct answer in this case is c. H2 1,96

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which statements are true based on diagram?check all that apply

Answers

Answer:The answer to this is a, b, d, e

Step-by-step explanation:

Solve: 2m³-5m² - 7m = 0

Answers

Answer:

m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Step-by-step explanation:

2m³ - 5m² - 7m = 0 ← factor out common factor m from each term

m(2m² - 5m - 7) = 0

factorise the quadratic 2m² - 5m - 7

consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 2 × - 7 = - 14 and sum = - 5

the factors are + 2 and - 7

use these factors to split the m- term

2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )

2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term

(m + 1)(2m - 7)

then

2m³ - 5m² - 7m = 0

m(m + 1)(2m - 7) = 0 ← in factored form

equate each factor to zero and solve for m

m = 0

m + 1 = 0 ( subtract 1 from both sides )

m = - 1

2m - 7 = 0 ( add 7 to both sides )

2m = 7 ( divide both sides by 2 )

m = \(\frac{7}{2}\)

solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)

an airplane takes 3 hours to travel a distance of 1440 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in the still air and the speed of the wind.

Answers

Answer:

The speed of the plane in the still air is 420 miles/hour

The speed of the wind 60 miles/hour

Step-by-step explanation:

Let the speed of the plane with the wind be v

Let the speed of the plane against the wind be u

Now, speed = distance/time

With the wind,

v = (1440 miles)/(3 hours) = 480 miles/hour

v = 480 miles/hour

Against the wind,

u = (1440 miles)/(4 hours) = 360 miles/hour

u = 360 miles/hour

Now, let the speed of plane be p, and speed of wind be w,

Now, with the wind, the speed is 480 mph,

so,

speed of plane + speed of wind = 480 mph

p + w = 480  (i)

and against the wind, the speed is 360 mph,

so,

speed of plane - speed of wind = 360mph

p-w = 360 (ii)

adding equations (i) and (ii), we get,

p+w + p-w = 480 + 360

2p = 840

p = 840/2

p = 420 miles/hour

Then, the speed of the wind will be,

p + w = 480,

420 + w = 480

w = 480 - 420

w = 60 miles/hour

Final answer:

The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.

Explanation:

This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).

From the problem, we know that:

The trip with the wind covers 1440 miles in 3 hours, so (r + w) * 3 = 1440The return trip against the wind covers the same 1440 miles in 4 hours, so (r - w) * 4 = 1440

By solving these two equations, we get the following:

r + w = 480r - w = 360

Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).

Learn more about Simultaneous Equations here:

https://brainly.com/question/31913520

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