Mathematics College

A commercial jet flies 1,500 miles with the wind. In
the same amount of time it can fly 1,000 miles against the
wind. The speed of the jet in still air is 550 mph. Find the
speed of the wind.

Answers

Answer 1

Answer:

As below

Step-by-step explanation:

we want to know  how long it took to fly  so make two equations and set them equal to each other using the variable t

so, use  d = r*t   where d= distance , r= rate ( speed) and t = time  

w= wind velocity (speed with direction)

1500=(w+550)*t

1000=(-w+550)*t

now make both equations with respect to t

1500/(w+550) = t

1000/(-w+550) = t

since they are both equal to t,  where t is the same amount of flying time, set the two equations equal to each other

1500/(w+550) = 1000/(-w+550)

now solve for w

1500w + 825,000 = -1000w+550,000

2500w= -275,000

w = - 110

the wind speed is 110 opposite of the planes direction but also, if the plane flies in the other direction with it.  

wind velocity (velocity is speed with a direction )   is 110 MPH

they are asking for speed, b/c we don't know anything about direction... that is which direction is the plane headed during it's flight therefore we also can't say anything about the   wind direction either.  :|

Related Questions

If x = 8 units and h = 5 units, then what is the area of the triangle shown above?
A.
60 square units
B.
40 square units
C.
12.5 square units
D.
20 square units

Answers

Answer:

d 20

Step-by-step explanation:

0.5*b*h i guess so good luck

Answer:

Step-by-step explanation:

1/2 times base time height equals 20

Answer choices
396 ft2
420ft2
450 ft2
It’s not 420 I got it wrong

Answers

Answer:

396 ft²

Step-by-step explanation:

Area of the figure = area of the rectangle + area of the triangle

= L*W + ½*bh

L = 20 ft

W = 15 ft

b = 12 ft

h = 16 ft

Area of the figure = 20*15 + ½*12*16

= 300 + 96

= 396 ft²

Find the area of the figure.

Answers

Answer:

The height is 57.5

Step-by-step explanation:

To find the height, you would use the equation h= 2 a/a+b

So you would insert the numbers and turn the equation into 2(6555/ 123+105)

Then you would solve.

After solving, you will find that H= 57.5

Hope this helped! If it helped please give brainliest!

2 ways you could show each amount of money

Answers

Answer:

You can show the amount of money by using a model or to show equations.

Step-by-step explanation:

can someone awnser this pls decrease 760 by 15%

Answers

First, you’ll need to find 15% of 760. Do so by multiplying 0.15 • 760.
The product of this is 114.
Next, subtract.
760-114= 646

I hope this helps!

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I think it is 1 in 12 ft.

Step-by-step explanation:

1in:12ft is the answer. Hopefully this helps

look at the picture I attached​

Answers

Answer:

20

Step-by-step explanation:

hope this helps

Answer:

-4

Step-by-step explanation:

when you add a negative, you are subtracting it still. the same way you get to 12 from 8 is by 4. in this situation the 4 would be negative

jessa has 23 one-dollar bills that she wants to divide equally between her 5 children. How much money will each receive?

Answers

They would receive 4.60

A theater has 18 rows of seats. There are 22 seats in the first row, 26 seats in the second row, 30
seats in the third row, and so on. Which of the following is a recursive formula for the arithmetic
sequence that represents this situation

Answers

Answer:

f(n) = 18 + 4n

Step-by-step explanation:

= 22 + 4(n-1)

= 22 + 4n - 4

= 18 + 4n

The formula used for the arithematic sequence will be f(n) = 18 + 4n

What is an arithmetic sequence?

An arithmetic sequence is a series of numbers in which the difference between the next term to its previous term remains constant for the whole series. This difference is called a common difference.

Given that:-

A theater has 18 rows of seats. There are 22 seats in the first row, 26 seats in the second row, 30 seats in the third row, and so on

The formula will be given as follows:-

f(n)= 22 + 4(n-1)

f(n)= 22 + 4n - 4

f(n)= 18 + 4n

Therefore the formula used for the arithmetic sequence will be f(n) = 18 + 4n

To know more about arithmetic series follow

https://brainly.com/question/6561461

#SPJ2

I need the answer please

Answers

Answer:

probs c

Step-by-step explanation:

Find the slope (-1,9) and (5,-6)

Answers

Answer:

-5/2

Step-by-step explanation:

About 1.15 million people live in a circular region with a population density of 18075 people per kilometer. Find the radius of the region

Answers

Answer:

r = 5 km

Step-by-step explanation:

Given that,

The population in a circular region = 1.15 million

The population density of the region = 18075 people per kilometer

We need to find the radius of the region.

We can find the area of circular region i.e.

[tex]A=\dfrac{P}{d}\\\\A=\dfrac{1.15\times 10^6}{18075 }\\A=63.6\ km^2[/tex]

We know that the area of a circular region is given by :

[tex]A=\pi r^2\\\\\pi r^2=63.6\\\\r=\sqrt{\dfrac{63.6}{\pi}} \\\\r=4.49\ km[/tex]

or

r = 5 km

So, the radius of the region is equal to 5 km.

4. Does the graph represent a
function? Explain.

Answers

Answer:

no, because there is no graph lol

Step-by-step explanation:

You don’t have a graph added
But as long as nothing is repeated vertically it’s a function

....... is a function

..:...: is not a function

PLEASE HELP THIS IS WORTH 20 POINTS PLUS ILL GIVE BRAINIEST​

Answers

First you need to find the second base (b2) by plugging all the values into the area of a trapezoid formula.

A= 1/2 (b1+b2)h

After plugging it in you will find that b2= 21.3.

The questions is asking perimeter so you add all the sides together...
14.4+18.5+14.7+21.3= 68.9 ft

Hope it helps

A ball is thrown down off a bridge with a velocity
of 5 m/s. What is its velocity 2 seconds later?

Answers

It is 10 m/s hope this helps

Using the figure below, what is the trigonometric ratio of cos C?

Answers

Answer:

8/9 (choice b)

Step-by-step explanation:

The trigonometric ratios are based on the ratios of different sides.

If you remember SOH CAH TOA =

sine (sin) opposite hypotenuse

cosine (cos) adjacent hypotenuse

tangent (tan) opposite adjacent

__________________________

This is a nuemonic for these ratios.

the opposite side is the side that is directly across from the reference angle, the hypotenuse is the longest side, and the adjacent side is the side other than these two.

So cos C = adjacent side / hypotenuse side.

Since 18 is greater than 16 and 9, 18 is the hypotenuse.

the adjacent side is the side other than the opposite side and the hypotenuse which is 16

therefore cos C = 16 / 18 = 8 / 9.

What is the area of this figure

Answers

cut the figure into two parts
area of a rectangle is length x width
10x5=50m
2x4=8
add them together
50+8=58

Use the distributive property to find the product
5/6 x 2 2/5

Answers

Answer:

2

Step-by-step explanation:

Translate the following sentence into an equation.
Three times the sum of x and y is the same as twice y decreased by x.

Answers

Step-by-step explanation:

3(x+y) = 2y -x

hope that helps

Is the following graph exponential? Explain how you know.

Answers

Yes.
How to tell if a graph is exponential:
The graph passes through the point (0,1)
The domain is all real numbers.
The range is y>0.
The graph is increasing.
The graph is asymptotic to the x-axis as x approaches negative infinity.
The graph increases without bound as x approaches positive infinity.
The graph is continuous.

a group of 65 adults were surveyed about their favorite healthy snack. approximately how many adults out of the 65 surveyed chose banana chips as their favorite?

Answers

Answer:

A

Step-by-step explanation:

23%×65≈14.95≈15

Answer:

15 is the answer a

Step-by-step explanation:

.23×65=14.95

Identify the holes, horizontal asymptotes, and virtual asymptotes

Answers

Answer:

Answer attached

Step-by-step explanation:


→ Name any two figures that have both line symmetry and rotational symmetry.
[tex] \\ [/tex]
​

Answers

Answer:

 Two figures that have both line symmetry and rotational symmetry are: Circle and square

4x³+6x² Guys please Factorise​

Answers

Answer:

[tex]2x^2(2x+3)[/tex]

Step-by-step explanation:

Find the greatest common factor of both, which would be [tex]2x^2[/tex].

Then, use the distributive property to rewrite it:

[tex]4x^2 + 6x^2 = 2x^2 * 2x + 2x^2 * 3 = 2x^2(2x + 3)[/tex]

Order these numbers from least to greatest: 0.01, 0.42, 0.2, 0.5

Answers

Answer:

0.01, 0.2, 0.5, and 0.42

Step-by-step explanation:

this is correct

♤

The company’s president would like to examine the sampling distribution of the sample proportion of east regional responsibility. What proportion of the first sample (Andrew, Beth) has an east regional responsibility?

Answers

Answer:

the answer is 1

Step-by-step explanation:

got it right on edge

y=2/5x-1 What can be a Scenerio?​

Answers

Answer:

y=mx+b to find the slope m and y-intercept b.Slope: 2 5y-intercept: (0,−1)

Step-by-step explanation:

i hope this helped

WILL mark brainlest plss help me

Answers

Answer:

complementary angles. Also, your welcome :)

Step-by-step explanation:

Complementary angle

If u give me the brainliest then thank u so much, if not then its ok :)

Hazel invested part of a Php10,000 inheritance in stocks paying 6.5%
simple interest annually. She invested the rest in bonds paying 4.25% simple
interest annually. If Hazel will receive Php 582.50 in interest after one year,
how much did she invest in stocks? How much did she invest in bonds?​

Answers

Answer:

she invested $7013.33 in stocks and she invested $2986.7 in bonds?

Step-by-step explanation:

Let the amount invested in the stock= X

Let the amount invested in the bond= Y

For quantity equation,

X + Y = 10000 ............eqn(1)

✓We are told inheritance in stocks paying 6.5% simple interest = 0.065X

✓we are told She invested the rest in bonds paying 4.25% simple interest= 0.0425Y

The interest equation can be written as

0.065X + 0.0425Y = 582.50.........eqn(2)

We can make X subject of formula from eqn(1)

X= 10000 - Y

Substitute into eqn (2)

0.065(1000-Y) + 0.0425Y= 582.50

Multiply through by 10000

650(10000 - Y) + 425Y = 5825000

6500000 - 650Y + 425Y =5825000

Y= 2986.66

If we substitute Y into (X + Y )= 10000

X+2986.66= 10000

X= 7013.33

hence, she invested $7013.33 in stocks and she invested $2986.7 in bonds?

Which of the following is the reflection of triangle ABC with vertices A(1, - 1) . B(4, - 1) . and C(2, - 4) over the x-axis?

Answers

I pretty sure the answer is C

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