A military jet flying with the wind travelled 1500 km in 1.5 hrs, but when the plane turned around, it took 1.875 hours to return to its base. Find the rate of the plane in calm air and the rate of the wind. pls solve with 2 variables!

Answers

Answer 1

Answer:

With wind = 1000 km /hr

In calm air = 800 km/hr

Step-by-step explanation:

With wind :

Distance traveled = 1500 km

Time taken = 1.5 hours

Speed of plane in air :

Speed = distance / time

Speed = 1500 km / 1.5 hours

Speed = 100 km pe hour

In calm air :

Time taken = 1.875 hours

Distance = 1500 km

Speed of wind in calm air :

Distance / time

1500 km / 1.875

= 800 km/hr


Related Questions

in the expression 15- the sum of 6 and. 7 do you add or subtract first

Answers

Answer:

Add

Step-by-step explanation:

By the way this question was worded, I'm going to say add. If I were to write the expression out, I personally would write it like this:

[tex]15-(6+7)[/tex]

And parentheses always occur first.

Hope this helps!

In 2005 the population of a district was 35.700 with a continuous annual growth rate of approximately 4%, what will the population be in 2030 according to the exponential growth function? Round the answer to the nearest whole numberdo not include the unit in your answer.

Answers

Given:

Population is 2005 = 35,700

growth rate = 4% = 0.04

To find:

The population in 2030.

Solution:

The general exponential growth model is

[tex]y=a(1+r)^t[/tex]

where, a is initial value, r is growth rate and t is time in years.

Let the initial year is 2005. So, number of years between 2005 to 2030 is

[tex]2030-2005=25[/tex]

Putting a=35,700, r=0.04 and t=25 in the above model.

[tex]y=35,700(1+0.04)^{25}[/tex]

[tex]y=35,700(1.04)^{25}[/tex]

[tex]y=35,700(2.665836)[/tex]

[tex]y=95170.3452[/tex]

Approximate the value to the nearest whole number.

[tex]y\approx 95,170[/tex]

Therefore, population of the district will be about 95,170.

Amount in 2030 is $95,169

Given that:

Amount invested = $35,700

Growth rate = 4% = 0.04

Time invested = 2030 - 2005

Time invested = 25 year

Find:

Amount in 2030

Computation:

A = P[1+r]ⁿ

Amount in 2030 = 35700[1+0.04]²⁵

Amount in 2030 = 35700[1.04]²⁵

Amount in 2030 = 35700[2.6658]

Amount in 2030 = $95,169

Learn more:

https://brainly.com/question/24132206?referrer=searchResults

why are y'all doing school work so late

Answers

Answer:

fr

Step-by-step explanation:

its 1 am for me but I'm just bored and answering peoples questions lol but it's weird that they are doing school work now I was thinking that but was like oh well lol

Jordan is running a race that is 13 miles long. From his training, he knows that it takes him 72 minutes for every 12 miles he runs and he runs each mile in the same amount of time.

How long will it take for Jordan to run the 13th mile in the race (assuming he runs at the same speed as the first 12 miles)?

Answers

Answer:

78 minutes

Step-by-step explanation:

72/12=6

6*13=78

10x^3+34x^2+20x
Factor the trinomial

Answers

[tex]2x*(5x^{2} +17+10)[/tex] is the answer I think

Yolanda, Carlos, and Keith have a total of $68 in their wallets. Keith has $8 less than Yolanda. Carlos has 2 times what Keith has. How much do they have in their wallets?

Answers

Answer:

Keith: 15, Carlos: 30, Yolanda: 23

Step-by-step explanation:

Let x be the amount of money Keith has. Then Yolanda has x+8 money and Carlos has 2x money. These all add up to 68.

x+(x+8)+2x=68

4x+8=68

4x=60

x=15

x represents how much money Keith has.

So Keith has 15 dollars, Carlos has 30 dollars, and Yolanda has 23 dollars.

A baseball diamond is 90 feet square (NOT 90 square feet!). Coach Jack Handley runs from first base to second base at 25 feet per second. How fast is he moving away from home plate when he is 30 feet from first base (Problem #3)? How fast is he moving away from home plate when he is 45 feet from first base (Problem #4)? Answers should be expressed in terms of feet per second.

Answers

Answer:

dx/dt = 5√5/2

Step-by-step explanation:

Given:

dx/dt = 25 feet per second

According to Pythagoras theorem:

x² + 90² = y²

We know that x = 30 ft

So,

x² + 90² = y²

30² + 90² = y²

y = 30√10

So,

x² + 90² = y²

By taking differentiate:

2x dx/dt = 2y dy/dt

[x/y][dx/dt] = dy/dt

dx/dt = 5√5/2

Please help I needa finish this

Answers

Answer:

i think its d

Step-by-step explanation:

if you look up quadrilaterals you find shapes like rectangles, squares, and diamonds. if you look up parallelograms you find the same thing, so i think it's d. sorry if im wrong i havent done this stuff in a while

Answer:

I am sure the answer is C, if not I'm very sorry

how do you write a linear equation when given a graph or table? and how do you analyze key features of a function when given its graph?

Answers

When given a graph or table, you first want to figure out the slope. Look at the graph or table, and see how much does y change when x change in a certain amount? You want it as a rise/run so if x increases 2 when y increases 3 then the slope would be 3/2.

Next, you want to find the y intercept.
Look at the y value when x is 0. If the y is -2 when x=0, then b=-2.

When given its graph, find a y value when x is 0. If the y is 4 when x=0 then b=4

What is the square root of 3 to the square root of 2 power times the square root of 3 to the negative square root of 2 power​

Answers

Answer:

3

Step-by-step explanation:

multiplication rule of exponents is to multiply the bases (sq rt 3) and add the exponents

(sq rt 3)^2 = 3

add exponents and power of 1

what is 8 - 7 1/4 i need the answer fast

Answers

Answer:

3/4

Step-by-step explanation:

i think it is 6.25 :)

A boy is shopping at a sports store. He has $11 with which he wants to buy a t-shirt and some tennis
balls. The cost of the t-shirt is $5, and a can of tennis balls cost $2. Which number line represents the
number of cans of tennis balls he can buy?

Answers

Answer 3 cans of tennis balls unless there is tax

Step-by-step explanation:

Answer:

He can buy 3 cans of tennis balls sorry my brain is jacked today, so I am sorry if this is not enough

Step-by-step explanation:

Help I will make you a brainlist!!

What is the equation of the line with a y-intercept of -3 and a slope of 2?
y=-3x + 2
y = -2x - 3
y= 2x - 3
y= 3x + 2

Answers

Answer:

y = 2x - 3

Step-by-step explanation:

y = mx + b

slope is m, so m=2

y-intercept is b, so b= -3

hello!

============================================================

Given:-

Slope of the line -> 2Line's y-intercept -> -3

To find:-

Equation of the line

Remember, slope-intercept form looks like so:-

[tex]\bigstar{\boxed{y=mx+b}[/tex]

Where

m stands for the slope

b stands for the y-intercept

in this case, m -> 2, and  b-> -3

Plug in the values:-

[tex]\bigstar{\boxed{y=2x-3}[/tex]

=========================================================

note:-

Hope everything is clear; if you need clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

1620, 540, 180, 60, 20,...
Find common ratio.​

Answers

Answer:

multiplying by 3

Step-by-step explanation:

20x3=60 60x3=80. and the rest is the same.

Find the midpoint of the hypotenuse.

Answers

12
Bend be be K’s or if if so

please help and give details!!

Answers

Answer:

The answer is A.

Step by step explanation

x²-1

Where

Roots (-1,0) (1,0)

Domain x€R

Range f(x)€ [-1,+infinity]

Minimum (0,-1)

Vertical intercept (0,-1)

300/3x6
A,580
B.600
C601
D620

Answers

Answer:

B. 600

Step-by-step explanation:

300 / 3 = 100

100 x 6 = 600

can someone help me ​

Answers

D, the answer is D I believe

Answer:

C. y = 4/5x + 2

Step-by-step explanation:

y = mx + b

m is the slope and b is the y-intercept

the slope is 4/5, because of rise/run

y-intercept is 2 as the line goes through 2 on the y-axis

Also it's 4/5 not -4/5 because negative means it's going down, the line in this graph is going up hence positive 4/5

Can someone put this into slope intercept form?

4x + y *insert greater than or equal to sign here* 2

i’ll give brainliest to first person with an actual answer

(20 point question)

Answers

Answer:

y>=-4x+2

Step-by-step explanation:

Answer:

Greater than 2

Step-by-step explanation:

Have trust

5x +12=27
Solving a 2-step equation

Answers

Answer:

x = 3

Work below

Step-by-step explanation:

5x + 12 = 27

-12. -12

5x = 15

/5 /5

x = 3

Hope this helps!!

Answer:

3

Step-by-step explanation:

5x+12=27

subtract 12 from 12 and 27 to cancel the 12 you wan your number that has a letter by its self 12-12=0 12-27=15 then you divide what ever number that has a number by whatever number your left with so 15/5=3

a man is twice as old as his son.Five years ago the ratio of their ages was 9:4.Find the sum of their ages​

Answers

Let's assume the sons age as x.

Age of the man is 2x

Five years ago,

The man's age=9x

The sons age=4x

Then find the equation.

hope it was helpful.

I am not solving all cuz that u understand how to frame a equation.

Given:x-8>-3

Chose the solution set.
1.{x|x€R,x>-5}
2.{x|x€R,x>14}
3.{x|x€R,x>5}
4.{x|x€R,x>-9}

Answers

Step-by-step explanation:

x - 8 > -3

x > -3 + 8 (add 8 to both sides)

x > 5

Hence 3.{x|x€R,x>5} is correct.

2.5 gal/min=____ quart/hour

Answers

Answer: 600

Step-by-step explanation:

I need help with this homework

Answers

x 0 1 2 3 4 5
y -1 1 3 5 7 9

Hope this helps

PLS ANSWER BOTH PARTS FOR BRAINLIEST ANSWER !!


Chelsea is training for a race. From last month to this month, she decreased her average pace in minutes per mile by 12%. Write two different equations to epresent the relationship between p, Chelsea's average
pace last month, and n, Chelsea's new average pace.



Last month, Chelsea ran at an average pace of 7.5 minutes per mile. On average, how long, in minutes,
does it take Chelsea to run one mile this month?

Answers

28 or 15 I’m bad at math I’m guessing

Need help with this!!!

Answers

Answer:

I'm gonna say 4 because 6 divided by 3 is 2

40 POINTS PLEASE HELPPPPPPP ME !

Answers

Answer:

75/100

=15/20

3/4

The probability is3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Hope this helped have an amazing day!

I WILL GIVE BRAINLIEST! (Function Composition Application)

Answers

Answer:

N(T(t)) = 24(8t + 3)² - 112(8t + 3) + 95 (this is can be the answer for the 1st cloumn since your teacher said "You do not need to simplify your answer)

N(T(5)) = 24(8(5) + 3)² - 112(8(5) + 3) + 95

N(T(t)) = 24(43)² - 112(43) + 95

N(T(t)) = 39 655

answe for 2nd coloumn

(5, 39655)

answer for 3rd coloumn

5 hours

answer for 4th col is

39,655 bacteria

A map's scale is 2 cm = 35 miles. There are 17 cm between Atlanta and the border
of Georgia and Florida on the map.
How many miles are there between Atlanta and the border of Georgia and Florida?

Answers

There are 297.5 miles between Atlanta and the border of Georgia and Florida. I think 17/2 = 8.5. 8.5 x 35 = 297.5

please help thanks in advance

Answers

Answer:

43.25

Step-by-step explanation:

Since sides DF and FE are congruent, their opposite angles D and E are also congruent.

m<D + m<E + m<F = 180

x + x + 93.5 = 180

2x = 86.5

x = 43.25

Answer: 43.25

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