An airplane takes 3 hours to travel a distance of 1680 miles with the wind. The return trip was 4 hours against wind. Find the speed of the plane in still air and the speed of the wind

Answers

Answer 1

Answer:

Speed of plane in still air: 490  mile/hour

speed of wind: 70  mile/hour

Step-by-step explanation:

still speed = x        wind speed = w

with wind: speed = still + wind

(x+w) * 3 = 1680     ...a

against wind: speed = still - wind

(x-w) * 4 = 1680    ...b

b-a ... 4x-4w-3x-3w = 0

x-7w = 0

x = 7w

substitution: (7w+w)*3 = 1680      8w = 560       wind speed (w) = 70

still speed (x) = 7w = 490 mile/hour


Related Questions

Naomi's square bedroom has an area of 90 square feet. What is the length of one of the walls? Round to the nearest tenth if necessary.

Answers

Answer:

9.48 ft

Step-by-step explanation:

Step one:

given data

Naomi's square bedroom has an area of 90 square feet

Area of the room = 90 ft^2

Required

the length of the side of the room

Step two:

we know that area is

A= L^2

substitute

90= L^2

L= √90

L=9.48 ft

Round 19.65 to the nearest whole number.

Answers

Answer:

20

Step-by-step explanation:

Any number with a decimal of .50 is rounded up. Anything less is rounded down.

So, 19.65 is rounded up to 20.

In order to solve the equation 9x = -3 (2+ 3y) for y a student simplifies the equation as shown
Step 1: 9x = –3x + -3 (Gy)
Step 2: 9x = -3x + - y
Step 3: 92
Step 4: 6x = -Y
Step 5: Y = -6
3x = -Y
Which statement describes the error the student made in simplifying the equation?

Answers

the student should have distributed the -3 to both terms in the parenthesis in the first step. so it should’ve been 9x= -6-9y

find the measure of angle 1
(simplify your answer. type an integer or a decimal)

Answers

Answer:

<1=117°

Step-by-step explanation:

The sum of two opposite interior angles equals one exterior angle.

<1=58+59=117°

An architect uses a cylindrical container to protect her blueprints. The dimensions of the cylinder are shown in the diagram. 3 in. 15 in. Which measurement is closest to the total surface area of the container in square inches?

Answers

15 is the answer I think

Jack and Marci’s restaurant bill was $50. They usually leave an 18% gratuity, but because they received exceptional service, they decided to leave a larger tip instead. Slide the bar on the interactive tool to increase the amount of the tip. What percent of the bill would an $11 tip be? What percent of the bill would a $12.50 tip be?

Answers

Answer:

What percent of the bill would an $11 tip be?: 22%

What percent of the bill would a $12.50 tip be? 25%

Step-by-step explanation:

Edegunity

Answer:

1. 22%

2. 25%

Step-by-step explanation:

edginuity

if the dice is rolled 600 times, about how many 6s would you expect to get

Answers

Step-by-step explanation:

whis this is your answer

The number of times getting 6's, when the dice is rolled 600 times is 100.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Given that, the dice is rolled 600 times.

If you roll a fair, 6-sided die, there is an equal probability that the die will land on any given side. That probability is 1/6. This means that if you roll the die 600 times, each face would be expected to appear 100 times.

Therefore, number of times getting 6's, when the dice is rolled 600 times is 100.

To learn more about the probability visit:

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Please help and number the questions
Giving 50 points please solve it
And I won’t report

Answers

Answer:

1. 18.84 in

2. 56.52 cm

3. 4.71 ft

4. 25.12 m

5. 37.68 ft

6. 12.56 yd

7. 43.96 in

8. 28.26 cm

9. 7.85 m

Step-by-step explanation:

[tex]C=2\pi r[/tex]

1 Four sets of ordered pairs are shown below.
a. {(2, -4), (-3, -5), (-3, 3), (-2, 6)}
b. {(5,2), (3, 2), (-1, 2), (3,4)}
C. {(-6, -4), (3, -4), (-2,-4), (5, -4)}
d. {(3, 2), (-3, -2), (3, 6), (8, 2)}
Which set(s) of ordered pairs do NOT represent a function?
A a only
B a and c only
C a, b, and d only
D All of the above

Answers

Answer:

c

Step-by-step explanation:

its a, b, and d because these have inputs with different outputs

ex. (-3,-5) and (-3,3)

Answer:

The answer is C. a, b, and d only.

Step-by-step explanation:

A is not a function because -3 has two y like, (-3,-5) and (-3,-3).

B is not a function because like A, it has an x that has more than one y value, like (3,2) and (3,4)

C is a function because all the x values only have one y value, even though there are many x values that contain the same y value but to be a function the x value must not repeat (only if the y value is the same) or have multiple y values for the same x value.

D is not the function because the x value 3 has two different y values, (3,2) and (3,6)

An astronaut drops a rock off the edge of a cliff on the moon. The distance d(t), in meters, the rock travels after t seconds can modeled by the function d(t)= .5x^2. What is the average speed, in meters per second, of the rock between 5 and 10 seconds after it was dropped

Answers

Answer:

The average speed is 7.5 [tex]\frac{ m}{ s}[/tex]

Step-by-step explanation:

Speed ​​is a physical quantity that expresses the relationship between the space traveled by an object and the time used for it.

Then, the average speed relates the change in position to the time taken to effect that change:

[tex]speed=\frac{change in position}{change in time}[/tex]

The change in position is the difference between the final position and the initial position, while the change in time is the difference between the final and initial time.

In this case, the starting and ending positions are calculated by replacing the times in the function of the distance d (t):

d(5)= 0.5*5²= 12.5 m

d(10)= 0.5*10²= 50 m

So:

change in position= final position - initial position= 50 m - 12.5 m= 37.5 mchange in time= 10 s - 5 s= 5 s

Replacing in the definition of speed:

[tex]speed=\frac{37.5 m}{5 s}[/tex]

and solving you get:

speed= 7.5 [tex]\frac{ m}{ s}[/tex]

The average speed is 7.5 [tex]\frac{ m}{ s}[/tex]

There are 2214 bacteria in a petri dish at the beginning of an experiment. The number of bacteria doubles every 3 hours. How many bacteria will there be after 2 days? Your answer: 145,096,704 95,305,440,290 8856 19926

Answers

Answer:

1)145,096,704

Step-by-step explanation:

24*2=48

48/3=16

1.2214*2=4428

2.*2=8856

3.*2=17712

4.*2=35424

5.*2=70848

6.*2=141696

7.*2=283392

8.*2=566784

9.*2=1133568

10.*2=2267136

11.*2=4534272

12.*2=9068544

13.*2=18137088

14.*2=36274176

15.*2=72548352

16.*2=145096704

Help me I need an answer

Answers

I think that C is the correct one

Which equation represents a line with a slope of 1⁄2 passing through
the point (6, 4)? please answer ASAP. will give brainiest with explanation

Answers

Answer:

is -4=Y

Step-by-step explanation:

i had that problem

Here are two similar rectangles find the area of the largest one

Answers

Answer:

40.32 cm²

Step-by-step explanation:

The area of the small rectangle = 7 × 4 = 28 cm²

Given the ratio of the sides of similar rectangles = a : b , then

the ratio of the areas = a² : b²

Here ratio of sides = 4 : 4.8 = 1 : 1.2

ratio of areas = 1² : 1.2² = 1 : 1.44

Let x be the area of the larger rectangle then by proportion

[tex]\frac{1}{28}[/tex] = [tex]\frac{1.44}{x}[/tex] ( cross- multiply )

x = 40.32

Area of larger rectangle is 40.32 cm²

Answer:

do it yourself loser

Step-by-step explanation:

loser

41 euros to 85 euros find the percent

Answers

Answer:

Step-by-step explanation:

1.21 United States Dollar

PLEASEE HELPP!!!! ASAPP PLEASE PLEASEE!!!
On a coordinate plane, point E is (negative 6, 8), point A is (5, 7), point B is (10, negative 2), point C is (8, negative 6), point D is negative 6, negative 6).
Which statements are true? Select all that apply
The length of side ED is equal to the length of side DC.
The length of side EA is equal to the length of side AB.
You can find the length of side BC by counting.
Shape ABCDE is a pentagon.
Shape ABCDE is a hexagon.

Answers

Answer:

two are correct:  side ED is equal to DC, and ABCDE is a pentagon

Step-by-step explanation:

pentagon is a polygon having 5 sides

You can find the length of BC by using the distance formula

Answer:

a, d to make it simpler

Step-by-step explanation:

In your own words, define the conic section you chose as a collection of points (loci) on a plane.

Answers

A curve that is an intersection of the surface of a cone with a plane.

The conic section as a collection of points(loci) on a plane can be defined in this way .

What is conic section?

A conic section is a curve obtained by intersecting a cone with a plane. In Algebra , There are  four main types of conic sections:

circles, parabolas, ellipses and hyperbolas. Each of these conic sections has different characteristics and formulas that help us solve various types of problems.

What is loci?

A locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.

According to the question

There are 4 main types of Conic section :

circles, parabolas, ellipses and hyperbolas. Each of these conic sections has different characteristics and formulas

Loci for circle : The locus of a circle is defined as a set of points on a plane at the same distance from the center point.

Loci for parabola : A parabola is a locus of points that are equidistance form a focus and a directrix .

Loci for hyperbola: A hyperbola is the locus of points such that the absolute value of the difference between the distances from to and to is a constant.

Loci for ellipse: An ellipse is the locus of all those points in a plane such that the sum of their distances from two fixed points in the plane, is constant. The fixed points are known as the foci (singular focus), which are surrounded by the curve.

Hence, The conic section as a collection of points(loci) on a plane can be defined in this way .

To know more about conic section and loci  here:

https://brainly.com/question/10311514

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Solve the inequality. Check your solution. x+5 is greater than or equal to 10

Answers

Answer:

not too sure about it

Step-by-step explanation:

x+5>=10

x>=10-5(collecting like terms)

x>=5☺️

Select the correct solution for 12x = 60.
O A. x = }
B. X = 5
C. X = 48
O D. x = 72

Answers

Answer:

B.5

Step-by-step explanation:

5*12=60

For what Value of X is ABC~ DEF?​

Answers

Answer:

The answer to the question is A

A chef is going to use a mixture of two brands of Italian dressing the first brand contains contains 7% vinegar and the second brain contains 12% vinegar the chef wants to make 220 mL of dressing that is 11% vinegar how much of each branch should he said he use

Answers

Answer:

176 of 12% vinegar

44 of 7% vinegar

Step-by-step explanation:

Percentage vinegar required = 11%

Volume = 220 mL

First brand % = 7%

Second brand % = 12%

Let p = volume of 12% vinegar material

Mixture :

0.12p + 0.07(220 - p) = 220 * 0.11

0.12p + 15.4 - 0.07p = 24.2

0.05p = 8.8

p = 8.8 / 0.05

p = 176

176 of 12% vinegar and

220 - 176 = 44

44 of 7% vinegar

Jeremy spent the entire weekend earning money by working around his neighborhood 15% of his total earnings was from raking leaves and $36 mowing lawns and earn the rest of his money walking dogs the end of the weekend with earning $90 how much money did he earn by walking dogs?

Answers

Answer: $40.50

Step-by-step explanation:

Since 15% of his total earnings was from raking leaves. The earning from taking leave will be:

= 15% × $90

= 0.15 × $90

= $13.50

Earnings from mowing lawns = $36

The earnings from walking dogs will be:

= $90 - $36 - $13.50

= $40.50

The sum of two numbers is 55 and the difference is 11. What are the numbers

Answers

33 and 22 are the answers

Can you guys help we with this question. ​​​​​​

Answers

Answer:

40

Step-by-step explanation:

(2x+1/(2x))^5 *(2x -1/(2x))^5

= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2

= (4x^2-1/4(x)^2)^5

now

x =4x^2. ,a = 1/4(x)^2 ,n =5

we have

general term = Cr *x^r *a^(n-r)

= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)

= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)

= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)

= Cr * 4(2r-n) *x(4r-2n)

now for x^2

4r-2n = 2

4r -10=2

4r =12

r = 3

now for coeff

C(5,3) * 4^(2*3-5)

5!/(3!*(5-3)!) * 4

5*4/(2*1)*4

40

4r-2n=2

4r-10=2

4r=12

R=13

14
Match each graph with the correct slope of the line.
DRAG & DROP THE ANSWER
1
3
1
2
3
1
1
2
2
3

Answers

Where is the graph? I need the graph in order to solve it

(3x8)x4=3x(?) i need to know what this is

Answers

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

i know someone put this and i needed help with the oof

solve −4>x÷3 i need helpppp

Answers

Answer: x < -12

Step-by-step explanation:

a. 16
b. 39
c. 98
d. 21

will give brainliest to whoever can answer fastest

Answers

Answer:

I would say B. 39.

Step-by-step explanation:

Hope this helps:)

the answer to this question is b

*WILL MARK BRAINLIEST*
Can a triangle be made from the side lengths? 4 cm, 6 cm, 9 cm

A: Yes, one triangle can be made
B: No, a triangle cannot be made

Answers

b it cannot be made
A: Yes one triangle can b made

Explanation:

2/5 kg of soul fills 1/3 of a container so 1 kg of sulfate in the container? Explain or show your reasoning

Answers

Answer:

Yes, we can put 1 kg of the soul in the container.

Step-by-step explanation:

Consider the provided information.

2/5 kg of soul fills 1/3 of a container.

It means if we put 2/5 kg of the soul 3 times in the container then the container will be full.

[tex]\frac{2}{5}+\frac{2}{5}+\frac{2}{5}=\frac{6}{5}[/tex]

It means [tex]\frac{6}{5}[/tex] kgs of soul fill the container.

[tex]\frac{6}{5}[/tex] is greater than 1 so it means we can put 1 kg of the soul in the container.

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