Flying against the wind, a jet travels 1710 miles in 3 hours. Flying with the wind, the same jet travels 3720 miles in 4 hours. What is the rate of the jet in still air and what is the rate of the wind?

Answers

Answer 1

Answer:

Rate of jet in still air = 750 mph

Rate of wind = 180 mph

Step-by-step explanation:

Let the rate of jet in still air = [tex]u[/tex] mph

Let the rate of air = [tex]v[/tex] mph

So, Rate of jet against the wind = [tex](u-v)[/tex] mph

Rate of jet with the wind = [tex](u+v)[/tex] mph

Formula for Speed/Rate is given as:

[tex]Speed = Distance \times Time[/tex]

Distance traveled in 3 hours against the wind = 1710 miles

Distance traveled in 4 hours against the wind = 3720 miles

[tex]u-v=\dfrac{1710}{3}\\\Rightarrow u-v=570..... (1)[/tex]

[tex]u+v=\dfrac{3720}{4}\\\Rightarrow u+v=930......(2)[/tex]

Adding (1) and (2):

[tex]2u=1500\\\Rightarrow u=750\ mph[/tex]

By equation (1):

[tex]750 - v =570\\\Rightarrow v =180\ mph[/tex]

Rate of jet in still air = 750 mph

Rate of wind = 180 mph


Related Questions

Graph the line with slope 1/4 and y intercept -2

Answers

Answer:

y= 1/4x -2

Step-by-step explanation:

Y=mx+b

m is the slope

b is the y intercept

The equation of line is y= 1/4x -2 .

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

slope = 1/4 and y intercept = -2

Using slope- intercept form

y= mx + b

y= 1/4x + (-2)

y= 1/4x -2

Learn more about slope here:

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Since the beginning of fall, the little tree in front of Mrs.Wenger's house loses 12 more leaves every day. After 5 days, it haf only 208 leaves remaining.

Answers

Answer:

268

I'm not smart so if u get this wrong, I'm sorry

Step-by-step explanation:

12 x 5 = 60

60 + 208 = 268

What is the equation in slope-intercept form of the line that passes through the points (−4, 2) and (12, 6)?

Answers

Answer:

y = 1x/4 +3

Step-by-step explanation:

M=1/4

Explanation: u just take the two points and plug them in the to the formula y2-y1/ x2-x1

Student council is voting which elective classes should be offered at the middle school. the choices are Band, Art, and Spanish. Art received twice as many votes as Band. Spanish received 20 more votes than Art. 190 students voted total.

Answers

Question what are we supposed to do like add subtract??

Answer:

34 people voted for band 68 people voted for art and 88 people voted for Spanish this help

Step-by-step explanation:

Can someone please help me with this one please

Answers

Answer:

Step-by-step explanation:

the answer is 3

hep please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Hm, D would equal either 5 or 6.

Answer: d=3

Step-by-step explanation:because if u plug it in that will be grater

PLEASE HELP!!!! GIVING BRAINLIEST!!!

Identify the missing input value.

Answers

Answer:

The answers are 34 on the in side and 57 on the out side

Step-by-step explanation:

This is because if you subtract 4 from 9, you will get 5. when you subtract 4 from 19, you will get 15.

I hope this helps

Answer:

In: 33 Out: 29

In: 62 Out: 58

Step-by-step explanation:

Lets find the rate of change first;

[tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }=\frac{15-5}{19-9}=\frac{10}{10}=1[/tex]

is y=x/4 proportional or non proportional?

Answers

Answer:

i may be wrong but i thinks its proportional

Step-by-step explanation:


Determine the intercepts of the line.
x-intercept(_,_)
y-intercept(_,_)

Answers

Answer:

the x-intercept is (-10, 0) the y-intercept is (-45, 0)

Answer:

X intercept is (-10,0)

Y intercept is (0,-40.5)

Step-by-step explanation:

Hope this helps.

what is the slope of y = -x + 7

Answers

The slope of this equation would be m = -1

Answer:

slope m = - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x + 7 ← is in slope- intercept form

with slope m = - 1

she remaining amount Lily has yet to pay Megan is $. Lily owed Megan $129.42. So far, she has paid Megan $32.56.?????

Answers

Answer:

129.42 - 32.56 = 96.86$

PLEASE HELP ILL GIVE BRAINLIEST. Which graph displays a rate of change of 2.5?
fy
Ay
4
2
2
x
X
2
4
2
-2
4
2.
-4
-4
4
-2.
2
2
2
-4

Answers

Step-by-step explanation:

i can't see the graph but I have done it before it is middle one

Which of the following is the solution for 6x + 3 ≤ 27

Answers

Answer:

x  ≤  4

Step-by-step explanation:

6x + 3 ≤ 27        subtract 3 both sides

6x ≤ 24              divide 6 both sides

x ≤ 4                   There's your answer


Divide. Round your answer to the nearest whole number.
91,543 = 5 =​

Answers

Answer:

i assume you mean divide so its 18308

Step-by-step explanation:

What is the length of DE?
A. 5
B.7
C.6
D.8

Answers

Answer:

I think it's 5

Step-by-step explanation:

12-8=4 so 9-4=5 but I could be missing something

Which values of m and b will create a system of equations with no solution? Select two options.

y = mx + b

y = –2x + A system of equations. y equals m x plus b. y equals negative 2 x plus StartFraction 3 over 2 EndFraction.

A coordinate grid with a line labeled y equals negative 2 x plus StartFraction 3 over 2 EndFraction and passes through the points (9, 1.5) and (1, 0.5).

m = –3 and b = negative StartFraction 2 over 3 EndFraction.
m = –2 and b = m equals negative 3 and b equals negative StartFraction 1 over 3 EndFraction.
m = 2 and b = negative StartFraction 2 over 3 EndFraction.
m = m equals StartFraction 3 over 2 EndFraction and b equals negative StartFraction 2 over 3 EndFraction and b = m equals negative StartFraction 3 over 2 EndFraction and b equals negative StartFraction 2 over 3 EndFraction
m = -2 and b = m equals negative 2 and b equals negative StartFraction 2 over 3 EndFraction

Answers

Answer:

Step-by-step explanation:

y = –2x + A system of equations. y equals m x plus b. y equals negative 2 x plus StartFraction 3 over 2 EndFraction.

Answer:

option 3 is best answer.

Step-by-step explanation:

(-3x + 7) + (-6x + 9) =
pls help :)

Answers

Answer:

-9x+16

Step-by-step explanation:

-3x+7+-6x+9=-9x+16

-3-6= (tecnectly adding but put negative sign with ur answer!)

7+9=16

Put together and Done!

Hope helps :D

True or False: X=3 is the solution to 2x+10/5=4.

1. True
2. False

Answers

Answer:

Step-by-step explanation:

False

2x + 10/5 = 4

If the *divided by 5* is for the whole expression
2x + 10 = 20
2x = 20 - 10
2x = 10
x = 10/2 = 5 [false]

If *divided by 5* is only for 10
2x + (10/5) = 4
2x + 2 = 4
2x = 4-2
x = 2/2
x = 1 [false]

Answer will be false in both cases but i gave the solution to make you understand.
Hope it helps.

please help asap, will mark brainliest :))

Answers

Answer:

26

Step-by-step explanation:

Square the sides you know (A and B) Since you are finding side C the hypotenuse go by these steps:

Square the given sides.Add the sides togetherFind the square root of the sum.

The square root of the sum is the side length of the hypotenuse.

[tex]10^{2} = 100\\24^{2} = 576[/tex]

100 + 576 = 676

[tex]\sqrt{676} = 26[/tex]

What is the slope of the line parallel to 7x + 4y = -16?

Answers

Answer:

The slope of the line that is parallel to the given line is [tex]\frac{-7}{4}[/tex]

Step-by-step explanation:

Parallel lines have the same slopes and different y-intercepts

The slope of the line who has an equation ax + by = c is m = [tex]\frac{-a}{b}[/tex]

Let us use these rules to solve the question

∵ The equation of a given line is 7x + 4y = -16

→ Compare it with the form of the equation above

∴ a = 7 and b = 4

∵ The slope of the line = [tex]\frac{-a}{b}[/tex]

∴ The slope of the line = [tex]\frac{-7}{4}[/tex]

∵ Parallel lines have the same slope

The slope of the line that is parallel to the given line is [tex]\frac{-7}{4}[/tex]

In 2018, Gretal earned $32 000.
(i) She paid tax of 24% on these earnings.
Work out the amount she paid in tax in 2018

Answers

24% of 32k is equal to 7,680.

So she paid of $7,680 in taxes.

Gretal paid $7680 on tax in 2018.

What is a percentage?

"A percentage is a ratio of a number to 100. The symbol % is used to indicate a percentage."

Given

Earning = 32000

Tax paid = 24%

Amount paid on tax = [tex]32000[/tex] × [tex]\frac{24}{100}[/tex]

= $7680

Hence, she paid $7680 on tax.

Learn more about percentage here

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Mya applied the distributive property to write the equivalent expressions below
45+ 72 - 9(5 + 9)
What is Mya's error?
Mya did not write the common factor in the correct place,
Mya wrote two expressions that are not equivalent
O Mya did not use the correct operations in the equation,
Mya used a factor that is not common to 45 and 72,

Answers

Answer:

Mya wrote two expressions that are not equivalent

Step-by-step explanation:

45 +72 does not equal to 9(5+9)

9(5+9) = 45 + 81

Answer:

D

Step-by-step explanation:

I dislike these kinds of questions. I could argue either of 2 answers - b and d.

b says that her error was that she wrote two expressions that are not equivalent and that is true. She did not write equivalent expressions.

d says she didn't use a common factor to both terms and that is true.

The actual answer is that she made a silly error which we all often do.

8 * 9 is 72

so the distributive property should be

9(5 + 8)

So, what's the answer? I would pick D, but hold your nose when you enter it.

What is the answer to this question?

Answers

Answer:

≈ 3.9 miles

Step-by-step explanation:

The third angle in the triangle is

180° - (53 + 78)° = 180° - 131° = 49°

Using the Sine rule in the triangle with distance from 2 being x, then

[tex]\frac{3}{sin49}[/tex] = [tex]\frac{x}{sin78}[/tex] ( cross- multiply )

x × sin49° = 3 × sin78° ( divide both sides by sin49° )

x = [tex]\frac{3sin78}{sin49}[/tex] ≈ 3.9 ( to the nearest tenth )

Devin has a furniture store. He sold a shoe rack recently for 3450. It cost him just to make the rack What is Devin's profit percent ?

Answers

You forgot to put how much it cost to make the rack, message me how much it was and I’ll get back to you

2/-3 divided by -1 2/7 =
pls explain the answer

Answers

Answer:

[tex]\frac{14}{27}[/tex]

Step-by-step explanation:

[tex]-1\frac{2}{7} = -\frac{9}{7}[/tex]  Plug -9/7 in: [tex]-\frac{2}{3}[/tex] ÷ [tex]-\frac{9}{7}[/tex]  -2/3 ÷ -9/7 = 2/3 ÷ 9/7 = 2/3 × 7/9[tex]\frac{2}{3}[/tex] × [tex]\frac{7}{9} = \frac{14}{27}[/tex]  

I hope this helps!

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[tex] \frac{2}{ - 3} \div (- 1 \frac{2}{7}) = \\ [/tex]

[tex] - \frac{2}{3} \div ( - \frac{ 7}{7} - \frac{2}{7} ) = \\ [/tex]

[tex] - \frac{2}{3} \div ( \frac{ - 7 - 2}{7} ) = \\ [/tex]

[tex] - \frac{2}{3} \div ( - \frac{9}{7} ) = \\ [/tex]

Negatives simplifies

[tex] \frac{2}{3} \div \frac{9}{7} = \\ [/tex]

[tex] \frac{2}{3} \times \frac{7}{9} = \\ [/tex]

[tex] \frac{14}{27} \\ [/tex]

Done...

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caculate the average speed from points D to point E

Answers

Answer:

20 seconds

Step-by-step explanation:

30 is where the E point is at while 10 is where D-point at.subtract these 2 and youll get 20

can someone pls help this is 6th grade math i will give brainliest

Answers

Answer:

the answer is D

Step-by-step explanation:

A phone company charges a base fee of $12 per month plus an additional charge per minute. The monthly phone cost C can be represented by this equation: C=12+a⋅m, where a is the additional charge per minute, and m is the number of minutes used.

Which equation can be used to find the number of minutes a customer used if we know a and C?

A
m=C−12a

B
m=(C−12)−a

C
m=C−12a

D
m=Ca−12

Answers

Answer:

It’s actually     m = (C - 12) /3     But I don’t see it in the 4 option you have.

Step-by-step explanation:

C = 12+ am

C - 12 = am

(C - 12) /a = m

Answer:

beside in this equation where C=$12 a= the additional charges and m= minutes used the equation would be C m=C-12a

For khan academy. Need answer immediately. Explain if you can

Answers

Answer:

The answer is B

will mark brainliest

Write an expression for the perimeter of the triangle shown below:


A triangle is shown with side lengths labeled 2.3x plus 14, 2x, and negative 0.2x plus 15.


4.1x + 29

4.1x − 29

4.5x + 29

4.5x − 29

Answers

4.1x + 29 is the correct answer
Answer:The perimeter is just the sum of all the side lengths.So let's get to work and add it up: (2.3x + 14) + (2x) + (-0.2x + 15)Add up all the x's:  (2.3x + 2x - 0.2x) =  4.1xAdd up all the ordinary numbers:  (14 + 15) = 29So the perimeter is simply    4.1x + 29.
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