An airplane flying with the wind can cover a certain distance in 2 hours. The return trip against the wind takes 2.5 hours. Find the average airspeed and wind speed, if the one-way distance is 600 miles.

Answers

Answer 1

Answer:

Wind speed = 30 mph

Plane speed = 270 mph

Step-by-step explanation:

Given that :

Distance = 600 miles

Let speed of airplane = a ; speed of wind = b

Net speed ; with wind = a + b

Net speed against wind = a - b

Time taken with wind = 2 hours

Time taken against wind = 2.5 hours

Recall :

Speed = distance / time ; distance = speed * time

(a + b) * 2 = (a - b) * 2.5

2a + 2b = 600

a + b = 300 - - - (1)

a = 300 - b

2.5a - 2.5b = 600

a - b = 240 - - - (2)

300 - b - b = 240

300 - 2b = 240

-2b = - 60

b = 30

a = 300 - 30

a = 270

Wind speed = 30 mph

Plane speed = 270 mph


Related Questions

solver r=1/2m2p for p

Answers

Answer:

p= 2r/m^2

Step-by-step explanation:

It will cost a total of $7,740 for 18 students to go to New York City for Spring Break. The cost for each student is the same. What is the cost for each student?

Answers

$430.00

Step-by-step explanation:

[tex]7740 \div 18 = 430[/tex]

what is 4/5divied by 1/3

Answers

Answer:

it is 3

Step-by-step explanation:

Answer:2.4

Step-by-step explanation:

Rewrite the following equation in slope-intercept form. y - 8 = -8(x + 2)​

Answers

Step-by-step explanation:

y - 8 = -8(x + 2)

y - 8 = -8x - 16

y = -8x - 8

The slope-intercept form is y = -8x - 8.

Answer:

y = -8x - 8

Step-by-step explanation:

First distribute the -8 into the parentheses

next get the the y by itself

add 8 to both sides and you get

y = -8x - 8


How much cheaper per ounce is purchasing 6 ounces for $6.72 compared to purchasing 3 ounces for
$3.48

Answers

Answer:

1.60

Step-by-step explanation:

:)

It is 4 cents cheaper

Help me with This please

Answers

Answer:

I believe it is 2787.6

Step-by-step explanation:

Math

I think it’s b .............................

Find 160% of 90 ??????

Answers

Answer:144

Step-by-step explanation:

Answer:

the answer is 144

160/100×90=144

Graph the function f(x) = x2 – 2x – 8. Which features are correctly stated?

Answers

Answer:

C, B

Step-by-step explanation:

C: When you substitute F(0) = -8

B: You just have to find the x value of the lowest point of the graph  

Line AB on Circle A measures 7 cm. What is Circle A's circumference?​

Answers

Answer:

Step-by-step explanation:

The circumference for a circle is found in the formula

[tex]C=\pi d[/tex]

so if the diamteter is 7, then the circumference is

[tex]7\pi[/tex] or if you are told to round to the nearest hundredth or thousandth, multiply pi in as 3.1415 to get that the circumference is 21.9905 cm

It's timed plzzz help!!!

Answers

2A/p = a and I need 20 characters

Answer:

2A/p

the last option

Step-by-step explanation:

gl!!!


What is the image point of (2, 4) after a translation left 4 units and down 1 unit?

Answers

Answer:

the answer is (-2,3)

Step-by-step explanation:

when moving to the left you going across the x axis 4 times and going down once om the u axis

i will add you to brainlist if you get the answer right promise ​

Answers

Answer:

B

Step-by-step explanation:


The number of students that earn straight A's decreases by half
each year. Currently there are 20 students who have all A's. Write
an equation to represent this scenario.

Answers

Step-by-step explanation:

20 ÷ 2 = S

S represents the students that have straight A's the next year. You would simply divide the current number of students by 2 and it will give you half the student number you had before. And those are the students who still are getting straight A's.

Suzanne bought 50 apples at the orchard. She bought 4 times as many red apples as green apples. How many more red apples than green apples did Suzanne buy?

Answers

Step-by-step explanation:

Let x be the number of Green apples bought.

Then 4x is the number of Red apples bought.

We have x + 4x = 50, so x = 10.

Since there are 10 green and 40 red apples, 40 - 10 = 30 more red apples than green apples.

Is this correct and if not can you please help me?

Answers

Answer:

No problems here!

Great Job!

Step-by-step explanation:

The diagram below shows the start and finish diagrams of a construction using a compass and straightedge.
Start
Finish
X
F
W
х у
Which of the following statements are true about this construction? Select all that apply.
The construction is of a line perpendicular to FG from a point not on FG
The first step of the construction is to draw a circle with center X
The first step of the construction is to draw the perpendicular bisector of WY.
The second step of the construction is to draw the perpendicular bisector of FG.
O The second step of the construction is to draw the perpendicular bisector of WY.

Answers

Answer:

1st and 4th

Step-by-step explanation:

Write an equation of the line that passes through the given points.

(0,0), (2,6)

Answers

Answer:

y=3x

Explanation: Since the line passes through (0,0), the y-intercept is 0. The rate of change is 3, which can be onserved if you you plot these points on a corrdinate graph. Therefore, the equation is y=3x.

Can someone help mean I know this is easy but it’s not to me lol

Answers

Answer:

I. Not a function

II. Not a function

III. Yes, function

IIII. Yep!

(I messed up the numbering in the explanations, sorry 3 is 4 and 4 is 3)

Step-by-step explanation:

Hi!

For a function, every x value must have exactly 1 y value.

f(2) can't equal both 0 and 10. It can only equal 0 or 10. So, because of this, we have a test called the vertical line test. Basically, you drag a line through a graph, and if there is any x value that goes to two (or more) different y-values, then that graph is not the graph of the function.

Let me try to give a practical explanation.

I.

In this graph, everything looks fine until we reach x=6. (I'm assuming the graph goes by ones). Do you see the problem? Yep! x has two different y values.

y= 4 and y= 6.

So, this isn't a function. Why? Because there are two y values for each x value (aka, this doesn't pass the V.L.T)

II.

(1,2), (2,5) , (3,8) , (2,-5) (1,-2)

We have two groups of problem points.

(2,5) and (2,-5) and (1,2) and (1,-2)

Here, each x value goes to a different y value. Therefore, this isn't a function

III. y=x^2

This is your typical parabola. See the graph that I attached.

Notice that -2 and 2 both go to 4. Two different x-values going to the same y-value is fine, but one x can't go to to different y values.

IIII.

(-4,1) , (0,3) , (4,5) , (6,6)

Check 1: Does any x-value go to multiple y values? Nope! So, this is a function.

can anyone pls tell me the answer to this pls

Answers

Answer:

you're lazy count the squares

Step-by-step explanation:

i think i counted 73. You can count the squares again. Then that is the area cm^2

the perimeter i counted 64

Count the edges of the squares and you'll get perimeter. I counted roughly so count carefully.

The Davis family is moving, and they estimate that they will need a truck with about 1,250 cubic feet. Which truck do would be best for them to rent?

Answers

i need more info on this question

Lught herzu
[tex] {x}^ {2} - xy + {x}^{2} - xy [/tex]

Answers

Answer:

sry I can't understand how to do this question

x²+xy+x²-xy
= x(x-y)+x(x-y) ⬅️take common x
= (x-y) (x+y) or x²-y²

The blue figure is a translation of the black image. Write a rule to describe the translation.

Answers

it has gone up 4 lines and left -2 making it go for a (4,-2)

factor completely 25d^8 -80d^4 +64

Answers

Answer:

Step-by-step explanation:

(5d^4 - 8)^2

This is a perfect square.

Note an exponent multiplied by an exponent is the addition of them so

d^4 X d^4 = d^8

or

(d^4)(d^4)=d^8

Which statement is true about the numbers marked on this horizontal number line?

A.
0.25 < -0.25
B.
0.25 > -0.25
C.
-0.25 = 0.25
D.
-0.25 > 0.25

Answers

Answer:

B.

Step-by-step explanation:

Answer:

The answer to this issssssss surely B

Can someone help me with this question? Will give brainliest :) (valid answers only or you’ll be reported)

Answers

Answer:

...

Step-by-step explanation:

Lupita bought 7 pounds of pretzels at a local wholesaler for $16.80. Her friend Charles bought 5 pounds of pretzels at the supermarket for $12.75. Charles thinks he got the better deal because $12.75 is less than $16.80. 8a. Is Charles's reasoning correct? Explain why or why not.

Answers

Answer:

Charly has the better buy

Step-by-step explanation:

The unit cost is

=16.8/7

=$2.4

Her friend Charles bought 5 pounds of pretzels at the supermarket for $12.75

Unit cost

=12.75/5

=$2.55

Charly got the best deal because the unit cost per item is less than that of the friend

A test has 10 questions worth 100 points in total. The test consists of multiple choice questions, which at worth 4 points each, and open-response questions, which are worth 12 points each. How many multiple choice questions are on the test

Answers

Given:

A test has 10 questions worth 100 points.

Points of each multiple choice question = 4

Points of each open-response question = 12

To find:

The number of multiple choice questions.

Solution:

Let x be the number of multiple choice questions and y be the open-response questions.

According to the question,

Total question : [tex]x+y=10[/tex]         ...(i)

Total points : [tex]4x+12y=100[/tex]      ...(ii)

Form (i), we get

[tex]y=10-x[/tex]         ...(iii)

Putting this in (ii), we get

[tex]4x+12(10-x)=100[/tex]

[tex]4x+120-12x=100[/tex]

[tex]-8x=100-120[/tex]

[tex]-8x=-20[/tex]

Dividing both sides by -8, we get

[tex]x=\dfrac{-20}{-8}[/tex]

[tex]x=2.5[/tex]

Since x is the number of multiple choice questions, so it cannot be a faction value.

Therefore, the number of multiple choice questions in test are either 2 or 3.

solve the following-
4y + 2+y= 2(2y + 3)

-4
4
-8
8

Answers

Answer:

y=4

Step-by-step explanation:

4y+2+y=4y+6

4y-4y+y=6-2

y=4

hope it helps

Answer:

4

Step-by-step explanation:

Find tan A ( write as a decimal rounded to the three decimal places) FIRST ANSWER GETS BRAINIEST

Answers

Answer:

[tex]tanA = \frac{28}{21 } = 1.333[/tex]

interest 600$ invested at6% compounded annually for 7 years

Answers

Answer:

The interest earned is $302.18

Step-by-step explanation:

Compound Interest

It occurs when the interest is reinvested rather than paying it out. Interest in the next compound period is earned on the principal sum plus previously accumulated interest.

The formula is:

[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

The investment described in the question is of P=$600 at a rate of r=6%=0.06 for t=7 years compounded annually. The compounding period coincides with the time of interest rate, thus n=1.

Applying the formula:

[tex]{\displaystyle A=600\left(1+{\frac {0.06}{1}}\right)^{1*7}}[/tex]

[tex]{\displaystyle A=600\left(1.06}\right)^{7}}[/tex]

A = $902.18

The interest is:

I = A - P = $902.18 - $600 = $302.18

The interest earned is $302.18

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