A plane flies 450 miles with the wind, and 350 miles against the wind (in the same amount of time). If the wind is blowing at 30 mph, how fast would the plane be going without air helping/hurting?​

Answers

Answer 1

Answer: = 240 mph.

Step-by-step explanation:

Let x = speed of the plane.

t= time taken

As per given, we have

[tex]t=\dfrac{450}{x+30}\ \ \ ...(i)\\\\ t=\dfrac{350}{x-30}\ \ \ ...(ii)[/tex]    [Time = distance / speed]

From (i) and (ii), we get

[tex]\dfrac{450}{x+30}=\dfrac{350}{x-30}\\\\\Rightarrow\ 450(x-30)=350(x+30)\\\\\Rightarrow\ 450x-13500=350x+10500\\\\\Rightarrow\ 450x-350x=10500+13500\\\\\Rightarrow\ 100x=24000\\\\\Rightarrow\ x=240[/tex]

Hence, the speed of the plane = 240 mph.


Related Questions

solve the equation
t^3=-343

Answers

Answer:

7

Step-by-step explanation:

t^3=7^3

t=7^3-^3

t=7

Please mark me as brainliest

Answer:

t = -7

Step-by-step explanation:

if you multiply -7 by -7, you get 49. Now if you multiply 49 times -7 you get -343

Mila invested $9,300 in an account paying an interest rate of 4\tfrac{7}{8}4
8
7

% compounded monthly. Carter invested $9,300 in an account paying an interest rate of 4\tfrac{3}{4}4
4
3

% compounded continuously. After 7 years, how much more money would Mila have in her account than Carter, to the nearest dollar?

Answers

Answer: 105 (rounded to the nearest dollar)

Step-by-step explanation:

It’s correct on delta match

HELP ME 2 PICTURES BTW 50 POINTS

Answers

Answer:

7 and 9 are alternate interior angles

Step-by-step explanation:

4 and 11 are corresponding angles

1 and 7 are vertical angles

GIVING EVERYTHING IF CORRECT. NO MORE LINKS.

Answers

I think the answer is C

What number should be added to both sides of the equation to complete the square?
x2 - 6x = 5

Answers

Answer:

Ans: 9

pls mark as brainliest!!

Step-by-step explanation:

Completing the square is done as follows:

1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.  

x^2 – 6x = 5

2. Make sure that the coefficient of the x^2 term is 1.

x^2 – 6x = 5

3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.

x^2 – 6x + 9 = 5 + 9

(x-3)^2 = 14

Therefore, 9 should be added to both sides to complete the square.

Can someone please tell 5% as a fraction

Answers

Answer:

5/100 = 1/20

Step-by-step explanation:

5% = .05 = 5/100 = 1/20

What is the range of the function y=x+8?​

Answers

I think it is

(-infinity, infinity)

There are no restrictions on x. If x can be any value, then the same goes for y.

Answer: Range = ALL REAL NUMBERS.

We can also express the answer as

(-infinity, infinity).

What is the slope of this line (0,8), (6,-4)

Answers

Answer:

-2

Step-by-step explanation:

formula: (-4)-8/6-0 or 8-(-4)/0-6

=-12/6

=-2 (hope this helps)

Answer these two questions ASAP please, help is appreciated.

Answers

Answer:

B and A

Step-by-step explanation:

Mark the person above me brainliest
(A question needs two answers so the asker can have the brainliest option)
Best of luck

Need help if you can answer through would be great thank you

Answers

Step-by-step explanation:

I don't really know the answer 'cause

check the answer in aswer sheet

Help i'll give you brainlyest

Answers

Answer:

can I see the third one, like can I see the full page because I can't see the rest

What is the solutions to this system of equations?
x+ 2y - z = 3
2x - y + 2z = 6
x- 3y + 3z = 4
____________
A) (-6,7,14)
B) (2,-3,5)
C) infinite solutions
D) no solutions

Answers

Answer:

D- No solution

Step-by-step explanation:

Isolate x for x+2y−z=3: x=3−2y+z

then Simplify

then Isolate y for −5y+4z+6=6: y= 4z 5 −5y+4z+6=6 Subtract 6 from both sides −5y+4z+6−6=6−6 Simplify −5y+4z=0 Subtract 4z from both sides −5y+4z−4z=0−4z Simplify −5y=−4z Divide both sides by −5 −5y −5 = −4z −5 Simplify y= 4z 5

lastly simply.

Need help!! algebra!!!

Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)

Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answers

Answer:

Step-by-step explanation:

Answer step by step
please

Answers

Answer:

the answer is D, because 30/2 is 15.

Answer:

15

Step-by-step explanation:

Angle CDA = 1/2 ×angle ABC

because the angle at the center of the circle is twice of the angle at the circumference.

so angleCDA = 1/2 ×30 = 15 degrees

Apply the elimination method to solve the system of equations 2x + 6y = 8 and 3x + 2y = 5. Which THREE statements are correct?

Answers

Answer:E,D,A

Step-by-step explanation:

10 POINTS FOR CORRECT ANSWER PLEASE HELP ME

Answers

Your answer should be 12.73
12.73 is the answer

Find the equation for the following parabola. Vertex 0,0. Focus 2,0.

Answers

Answer:

8x

Step-by-step explanation:

Answer:

Hi there! The equation for this parabola is y^2=8x.

Press the button without the slightest hesitation! :)

Step-by-step explanation:

Correct for Acellus! :)

Please help me! It’s due soon!

Answers

9/20 because if you count the red and blue out of the 20, theres 9. So you have a 9/20 chance it will hit red or blue.

Consider the right cones pictured below.
Which value of x would make the two cones similar?
O4
4/7 16/7 49/4

Answers

Answer:

D

Step-by-step explanation:

I just took it

Answer:

D

Step-by-step explanation:

edge 2021

What is the simplified value of the expression below?

Answers

Answer:

I dont know the experssion but I will give you steps to figure it out!

Step-by-step explanation:

Before you evaluate an algebraic expression, you need to simplify it. This will make all your calculations much easier. Here are the basic steps to follow to simplify an algebraic expression:

remove parentheses by multiplying factors

use exponent rules to remove parentheses in terms with exponents

combine like terms by adding coefficients

combine the constants

When simplifying an expression, the first thing to look for is whether you can clear any parentheses. Often, you can use the distributive property to clear parentheses, by multiplying the factors times the terms inside the parentheses. In this expression, we can use the distributive property to get rid of the first two sets of parentheses.

Now we can get rid of the parentheses in the term with the exponents by using the exponent rules we learned earlier. When a term with an exponent is raised to a power, we multiply the exponents For example, (x2)2 becomes x4.

The next step in simplifying is to look for like terms and combine them. The terms 5x and 15x are like terms, because they have the same variable raised to the same power

Finally, we look for any constants that we can combine.

Now our expression is simplified. Just one more thing -- usually we write an algebraic expression in a certain order. We start with the terms that have the largest exponents and work our way down to the constants. Using the commutative property of addition, we can rearrange the terms and put this expression in correct order, like this.

Halloween candy goes on sale 25% off the day after Halloween. If a bag of candy is priced $10, what is the price the day after Halloween?

Answers

if 25% = 1/4 then what is 1/4 of 10? 2.5
should be 7.5 because i made sure my calculations were correct and 25 % off of $10 is 7.5

Drag and drop number tiles into the boxes to show the median, first quartile (Q1) and third quartile (Q3)
of the data on the dot plot.

Answers

Answer:

Median = 5

Q1 = 2

Q3 = 10

Step-by-step explanation:

✔️On the dot plot, each dot represents a data point.

The median is the middle data point which is the 6th data point on the dot plot.

This:

Median = 5 (6th data point)

✔️Q1 is the middle value of the lower set of data points before the median = the 3rd data point

The 3rd data point is 2

Therefore,

Q1 = 2

✔️Q3 is the middle value of the upper set of data points after the median = the 9th data point.

The 9th data point = 10

Therefore,

Q3 = 10

Answer:9

Step-by-step explanation:

There are 20 students in Lynn's class. 12 of the students are in choir and 8 are in band. Write a fraction, in simplest form, to represent the part of the class that is in choir.

Answers

Answer:

3/5

Step-by-step explanation:

i‍♀️‍♀️

Answer:

3/5

Step-by-step explanation:

students in choir - 12

total number of students - 20

students in choir

-------------------------

total no. of students

12

----

20

3

--

5

Solve for angle x help plz​

Answers

Answer:

123 degrees

Step-by-step explanation:

Answer:

123°

Step-by-step explanation:

360 - 114 - 43 - 80 = 123

PS: WILL GIVE BRANLIEST
Select ALL the ratios that are equivalent to 16 : 6

a. 3 to 8

b. 32 : 12

c. 4 to 2

d. 8 to 3

Question 3 options:

a & b


b & c


b & d


a & c

Answers

I'm pretty sure it a 3 to 8 and 32 to 12

Answer:

The answer will be b & c.

The answer will be e B and C that is 32:12 and 4 to 2. Because it is equivalent to 16: 6.

please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

7*3=21

21*2=42

42 units^3

Step-by-step explanation:

brainliest

STANKY PLSS HELP ME ❤️

Answers

Answer:

PQS is a triangle

Step-by-step explanation:

Area of triangle= L×B

So,

20×7

140cm²

Answer :70

Step-by-step explanation:

Area formula: a times b/ 2

PQS: 7 times 20/ 2= 70

Your answer is 70

I hope this helps and may God bless you.  have a nice day, bye!

mobymax help 11 points math

Answers

Answer:

10/15 + 3/15 = 13/15

Step-by-step explanation:

10/15 + 3/15 = 13/15

What number is ten more than 100? Write an equation.

Answers

Answer:

10+100=110

Step-by-step explanation:

easy as pie

Answer:

110?

Step-by-step explanation:

If its 10 more (more being addition) than 100 then it should be 110

Find the lateral area of the cylinder.

Answers

Answer:

[tex]A=440\ m^2[/tex]

Step-by-step explanation:

Given that,

The diameter of the cylinder, d = 10 m

Hight, h = 14 m

Radius, r = d/2 = 5 m

We need to find the lateral area of the cylinder. The formula for the lateral area of the cylinder is given by :

[tex]A=2\pi rh\\\\A=2\times \dfrac{22}{7} \times 5\times 14\\A=440\ m^2[/tex]

So, the lateral surface area of the cylinder is equal to [tex]440\ m^2[/tex].

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