A red -tailed hawk can travel 50 miles when it flies against the wind In that same amount of time, the hawk can fly 90 miles when flying with the wind. How fast can the red-tailed hawk fly when the wind speed is 10 miles per hour?

Answers

Answer 1

Answer:

Against the direction of the wind is [tex]x-10=35-10=25\ \text{mph}[/tex] and with the wind is [tex]x+10=35+10=45\ \text{mph}[/tex]

Step-by-step explanation:

Let x be the speed of the hawk in still air

The speed of the wind is 10 mph

So speed of the hawk when flying against the wind is [tex]x-10[/tex] and with the wind is [tex]x+10[/tex].

Distance the hawk travels when going against the wind is 50 miles and going with the wind is 90 miles

The hawk covers the above mentioned distances in the same amount of time.

[tex]\text{Time}=\dfrac{\text{Distance}}{\text{Speed}}[/tex]

[tex]\dfrac{50}{x-10}=\dfrac{90}{x+10}\\\Rightarrow \dfrac{50}{x-10}-\dfrac{90}{x+10}=0\\\Rightarrow \dfrac{50(x+10)-90(x-10)}{x^2-100}=0\\\Rightarrow 50x+500-90x+900=0\\\Rightarrow -40x+1400=0\\\Rightarrow x=\dfrac{1400}{40}\\\Rightarrow x=35\ \text{mph}[/tex]

The speed of the hawk in still air is 35 mph.

Speed of the hawk against the direction of the wind is [tex]x-10=35-10=25\ \text{mph}[/tex] and with the wind is [tex]x+10=35+10=45\ \text{mph}[/tex].


Related Questions

The table shows input and output values for a cubic function.

Which statement explains why the function is cubic?
There is a constant first difference of 2.
There is a constant second difference of 0.
There is a constant third difference of 0.
There is a constant third difference of 24.

Answers

Answer:

It's D - There is a constant third difference of 24.

Step-by-step explanation:

Mr Hernandez asked his students to estimate the area of the circular garden in front of the school if the radius of the garden is 7 feet which estimated is closed to the area of the garden

Answers

Answer:

A = pi * r^2

Step-by-step explanation:

Hope this right if not im sorry

Jennifer and two friends went out to eat. Their bill was $54.25 and they need to pay tax of 8% and leave a 17% tip. If they split the bill evenly, how much will they each pay?

Answers

Answer: $22.8501

Step-by-step explanation:

Since their bill was $54.25 and they need to pay tax of 8% and leave a 17% tip, the total amount that will be paid will be:

= $54.25 + (8% × $54.25)

= $54.25 + (0.08 × $54.25)

= $54.25 + $4.34

= $58.59

We then add the 17% tip. This will be:

= $58.59 + (17% × $58.59)

= $58.59 + (0.17 × $58.59)

= $58.59 + $9.9603

= $68.5503

Since they want to split the bill evenly, we divide the total amount gotten by 3. This will be:

= $68.5503 / 3

= $22.8501

Each person will pay $22.8501

It takes Zach 15 minutes to walk 7 1/2 blocks to the swimming pool. At this rate, how many blocks can he walk in one minute? Circle the letter of the correct answer.
Dee chose c as the correct answer. What was her error?

What was her error?

Answers

Answer:

mathmodemathmodemathmodemathmodemathmode

Step-by-step explanation:

I WILL LITERALLY GIVE OUT 50 POINTS FOR THIS!!!!

Answers

Answer: B) -3

Step-by-step explanation:

X<-11/3 if u divide -11/3 = is about -3.6666

Answer:

B

Step-by-step explanation:

Which pair of functions are inverse functions?

PLEASE ILL GIVE BRAINLIEST

Answers

Answer:

A

Step-by-step explanation:

To find an inverse function you switch f(x) and x, and solve for f(x) (in this case you also rename it to g(x) )

inverse of y=(x-4)/5  is  

5x =  x -4

x = 5x + 4  so A works

someone please help me!!!!!

Answers

i think the answer is b 18 inches per every year
Answer: b) 18 inches per year

Explanation:

Each time x goes up by 1, y goes up by 18

slope = rise/run

slope = (change in y)/(change in x)

slope = 18/1

slope = 18

You can also use the slope formula to get the same answer. Let's say we picked the points (2,36) and (3,54). We then would get

m = (y2-y1)/(x2-x1)

m = (54-36)/(3-2)

m = 18/1

m = 18

We get the same result as before.

Since x represents the number of years and y is the number of inches, the slope of 18/1 indicates an increase of 18 inches per 1 year, or just 18 inches per year.

help im bad at math AHHHHHHHHHHHHHHHHHHHHH

Answers

Answer:

36

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

because am very good at math

couldn't fit the whole graph but someone please help im so confused ​

Answers

(2,0) is the correct answer

7 1/2 divided by 3 1 /8

Answers

Answer:

2.4 or 2 2/5

Step-by-step explanation:

help me with this please

Answers

Answer:

12

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle

3x + 4 + 2x + 1 = 6x - 7 add like terms

5x + 5 = 6x - 7

5 + 7 = 6x - 5x

12 = x

The answer is 12 x your welcome

If (ax+2)(x+b) = 3x^2 + 5x + c for all values of x, what is the value of c?

Answers

Answer:

c=2

Step-by-step explanation:

(ax+2)(x+b) = ax^2+2x+abx+2b = ax^2+(2+ab)x+2b

Given, ax^2+(2+ab)x+2b = 3x^2+5x+c

a=3

2+ab=5 => 2+3b=5 => 3b=5-2=3 => b=1

2b=c => c=2*1 = 2

So, c=2

Graph the following equations on the graphs below.
( GRAPHING PAPER NEEDED, NOT A WEBSITE )

Answers

First, you want to identify the slopes and y-int.

Equation 1 = y = -2x + 2

Slope = -2

y-int. = 2 or (0,2)

Equationt 2 =  y = 2x + 3

Slope = 2

Y-int.  = 3 or (0,3)

To graph, first plot the y-intercepts. Then do the slopes.

Slope = -2

Down 2 over 1 (to the right)

Slope = 2

Up 2 over 1 (to the right)

Then just connect the dots in a line!

One serving of Dominique’s chips has 210 calories and a mass of 15 grams. How many calories are in 6 grams of the chips?
A-35
B-84
C-201
D-525

Answers

Answer:A

Step-by-step explanation:isuausie

-(- 3.8a - 9b + 5.8)​

Answers

Answer:

3.8a + 9b - 5.8

Step-by-step explanation:

distributing the negative

Please help! Will give brainliest answer

Which of the following represents an irrational number?

0 to the power of 16
_
O 1.3

O to the power of 4

O to the power of 10

Answers

Answer:

I think it's B, 1.3 repeating is a irrational number

What is the first step in solving -5x-1/6>3/4

A. Add 1/6 to both sides
B. Subtract 1/6 from both sides
C. Divide both sides by -5
D. Multiply both sides by -5

Answers

Answer:

sotrrrrrrrrrrryyyyyyytyyttyyytttt plzzzzzz

Answer:A

Step-by-step explanation:

Add 1/6 to both sides

HELP ME IM TIMED!

Which expression best estimates -18
– ,
O 18-3
O -18-3
O-18-(-3)
O 18-(-3)

Answers

I’m not sure of the context of your class, but the second choice will give you -21 and the third one will give you -15. The first and last choice are positive, so just between those two

Answer:I think it’s c

Step-by-step explanation:I’m think me smart

PLEASE HELP ME PLEASEEEEEEEEW

Answers

Answer:

i would say its not but I could also be wrong or it could be letter b


Man school is 10 blocks west of the library and his house is 10 blocks east of the library, which location is farthest from the library?

Answers

Answer:

It's either his house or they are the same distance

Step-by-step explanation:

I'm gonna say that they are the same distance from the library because his school is 10 blocks west of the library and his house is 10 blocks east.

Hope this helps!

What is 50% of 3000? *
What is 15% of 150 leave as decimal

Answers

Answer:

50% of 3000 is 150015% of 150 is 22.5

Hope this helps!!

Please anyone help me

Answers

Answer:$2094.00

Step-by-step explanation:Put in desmos calculator and put 4.7 percent of 2000 and you get 94 then add 94 to 2000 and you got $2094

At the beginning of 2019, Milos owned 30 model cars. If he purchases and builds 2 models each month, which of the following tables represents the numbers of model cars he has m months after January 1, 2019

Answers

What are the tables? I would need to get more info

she 1 because of the purpose

A large shipment of batteries (several million) contains 4% that are defecttive.It 60 batteries are selected randomly,What is the probability that at most two are defective?

Answers

Answer:

0.5676

Step-by-step explanation:

We have been given these informations from this question ,

probability of 4% = 0.04

q = 1 - p = 1 - 0.04 = 0.96

Sample size n = 60

We solve further by Using binomial probability formula,

P(X = x) = (nCx)*px*(1 - p)^n - x

We have:

(60C0)x 0.04⁰x(0.96⁶⁰+(60C1)x0.04¹x(0.96)⁵⁹+(60C2)x0.04²x (0.96)⁵⁸

From this we would get the probability to be = 0.5676

Can someone help me please

Answers

Answer:

The slope is -2 and the slope-intercept form is y=-2x+20

Step-by-step explanation:

To find the slope between two points, remember to use the equation y2-y1 over x2-x1. That will help you get the slope. To find the y-intercept, use any of the two points given and insert the slope into the equation y=mx+b. For this one I used the two points (7,6)

Which expression is equivalent to 9 y minus 3?

Answers

Answer:

B

Step-by-step explanation:

3(3y-1) = 9y-3

3*3y=9y

3*1=3

combine those and you get 9y-3.

During the Lakers game, Kobe made 19 shots; some were 2-pointers and the others were 3-pointers. If he scored 45 points, how many were 2 pointers. How many 3-pointers?

Answers

Five 3 pointers and two 2 pointers

Step-by-step explanation:

The required expression that represents the number of 2 pointers and 3 pointers scored is 2x + 3y = 45 where x represents the number of 2 pointers and y tend the number of 3 pointers.

Given that, During the Lakers game, Kobe made 19 shots; some were 2-pointers and the others were 3-pointers. If he scored 45 points, how many were 2 pointers. How many 3-pointers is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the number of 2 pointer be x and the number of 3 pointer be y,
According to the question,
2x + 3y = 45
where x represents the number of 2 pointers and y tend the number of 3 pointers.

Thus, the required expression that represents the number of 2 pointers and 3 pointers scored is 2x + 3y = 45.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2

HELP 6TH GRADE MATH
Enter the phrase as an algebraic expression. The product of 54 and c

Answers

Answer:

54c

Step-by-step explanation:

The word "product" means that the operation is multiplication. So the two numbers need to be multiplied. In algebra, the way you multiply a constant and a variable is simply by putting the two next to each other with no other symbol.

54c is the answer. :D

whats the x value of the solution to this system of equations
x=2y-4
7x+5y=-66

Answers

Answer:

x=2y−47x

Step 1: Add 47x to both sides.

x+47x=−47x+2y+47x

48x=2y

Step 2: Divide both sides by 48.

48x

48

=

2y

48

x=

1

24

y

Answer:

x=

1

24

y

Step-by-step explanation:

Answer:

-19/7

Step-by-step explanation:

Uber is now charging a $2.50 flat rate in addition to $0.75 per mile for your ride. Janae can spend at most $13 on her Uber Ride. Which answer choice below represents the number of miles Janae can travel without exceeding her budget?
A:22
B:10
C:30
D:18

Answers

Answer:

B: 10

Step-by-step explanation:

Full charge can be expressed as equation:

c = 2.5 + 0.75m, where c- charge, m- miles

The limit for charge is $13, then we got inequality:

0.75m + 2.5 ≤ 130.75m ≤ 9.5m ≤ 9.5/0.75m ≤ 12.66

Option B: 10 is correct as the only number satisfying the inequality

Answer:

B:10

Step-by-step explanation: bcs it is

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