Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels 68 km/h faster than the other. If the two planes are 5052 kilometers apart after 3 hours, what is the rate of each plane?

Answers

Answer 1

Step-by-step explanation:

the slower plane travels x km in 3 hours.

the faster plane travels x + 3×68 = x + 204 km in 3 hours.

x + x + 204 = 5052 km

2x = 4848 km

x = 2424 km (in 3 hours).

so, the slower plane's speed is 808 km/h.

the faster plane's speed is 808 + 68 = 876 km/h.


Related Questions

12 divided by -3 is what?

Answers

-4 because when you did use 12 divided by 3 you get four but this is negative so you get a negative answer
answer:

-4

explanation:

when dividing with positives you would get “ 4 “ but since it’s a negative just add the minus at the start

The sum of twice a number and 5 is 25

Answers

Answer:

If the directions say write an equation: 2n + 5 =25

If the directions say also to solve the equation and find the number: 10

Step-by-step explanation:

"The sum" means we're using adding. So what things are we adding together? The question says "twice a number" and 5. Well we've got the 5. And "twice" means two times. And "a number" means we don't know the number yet, so we choose a variable, like n.

"Twice a number" can be written 2n.

So far we have:

2n + 5 is 25

We use = for the "is" in this sentence.

2n + 5 = 25

Now we can solve it.

Subtract 5 from both sides.

2n = 20

Divide by 2 on both sides.

2n/2 = 20/2

n = 10

The number is 10.

Which one is not a function??

Answers

Answer:

The first one. All the x values are 2. So it wouldn't pass the vertical line test.

Step-by-step explanation:

Please help me with this math problem!! NO LINKS PLEASE!! DUE TONIGHT AT 11:59PM!! THANKS!! :)

Answers

[tex]\sin \gamma = \dfrac wk\\\\\\\tan \varphi = \dfrac mw\\\\\\\tan \gamma = \dfrac wm[/tex]

Plz, Help me!
What is the equation of a circle with a radius of 5 and a center located at (7,9)?
a. (x - 9)^2 + (y - 7)^2 = 5
b. (x - 7)^2 + (y - 9)^2 = 5
c. (x - 7)^2 + (y - 9)^2 = 25
d. (x - 9)^2 + (y - 7)^2 = 25

Answers

Answer:

(x-7)^2 + (y-9)^2 = 25

Step-by-step explanation:

Examine Kaitlyn’s steps for solving the system of equations. â€"3x 2y = 8 3x 2y = â€"6 Step 1: 4y = 2 Step 2: y = 2 Step 3: â€"3x 2(2) = 8 Step 4: â€"3x = 4 Step 5: x = â€"1. 333 Kaitlyn found the solution to be (1. 3, 2). Is her solution correct? Explain. Yes, she correctly solved the system of equations. No, she made an error in step 1. The y variable should have been eliminated when adding the system of equations. No, she made an error in step 2. She should have found y = 0. 5. No, she substituted y into the wrong equation to solve for x in step 3.

Answers

The error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.

The right option will be: No, she made an error in step 2. She should have found y = 0. 5.

Given the system of linear equations:

-3x + 2y = 8 ---> eqn. 1

3x + 2y = -6 ---> eqn. 1

First add both equations together:

Step 1: 4y = 2

Next, divide both sides by 4:

Step 2: y = 2/4

y = 0.5

Kaitlyn got y = 2 instead of 0.5 in this second step. The solution she would get will be incorrect since an error has occurred here.

Therefore, the error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.

The right option will be: No, she made an error in step 2. She should have found y = 0. 5.

Learn more about system of equations on:

https://brainly.com/question/11767839

If x=a sintheta and y=bcostheta, show that (b^2)(x^2)+(a^2)(y^2)=(a^2)(b^2)a​

Answers

The answer is a
2
b
2

What is the value of x?

Answers

Answer:

55

Step-by-step explanation:

As you can see, the length of the outer angle is 125. So, 180 - 125 = 55.

please help and show work​

Answers

Answer:

x = 8

Step-by-step explanation:

∆D = ∆F

40°+2∆D = 180°

2∆D = 140

∆D = 70°

11x-18 = 70

11x = 88

x = 88/11

x = 8

A cable is 40 decimeters long how long is the cable in meters and be sure to include the correct unit

Answers

Answer:

4 m

Step-by-step explanation:

1 m = 10 dm

1 dm = 0.1m

(pls brainliest)

Determine the intercepts of the line.

Answers

[tex]y = -3x +12\\\\\text{Plug x = 0 to find y - intercept,}\\\\y = -3(0) +12 = 12\\\\\text{So, y-intercept is (0,12).}\\\\\text{Plug y=0 to find x - intercept,}\\\\0 = -3x +12\\\\\implies -3x = -12\\\\\implies 3x = 12\\\\\implies x = \dfrac{12}{3} = 4 \\\\\\\text{So, x - intercept is (4,0).}[/tex]

It took Mr. Jefferson 20 minutes to ride the 5-mile path along the lake at a constant speed on his bike. Which equation below could be used to determine the number of miles, x, Mr. Jefferson could ride in 12 minutes at that same constant speed?

Answers

Answer:

Part A. 4x

Part B. Mr. Jefferson could ride 3 miles in 12 minutes

Step-by-step explanation:

Part A. 4 being the time it takes him to travel 1 mile and x being the number of miles rode.

Part B. To find the time it took him to travel each mile I divided 20 by 5 which gave me four. Then to find the miles he could ride in 12 minutes I divided 12 from 4 which gave me three, stating that he could travel 3 miles in 12 minutes.

__________________________________________________________

Hope this helps!!!

If I am incorrect, please tell me; I enjoy learning form my mistakes:)

What is the value of the expression below when z=
5?

5z - 4

Answers

Answer:

Well we’ll just substitute

So 5z-4

And z is 5

5*5-4

25-4=21

The value is 21

The value is 21 I hope it’s right

The equation y=1/8xrelates proportional quantities x and y. What is the value of x when y is 6?

Answers

Answer:

48

Step-by-step explanation:

6 = 1/8x

x = 48

just solved this easy question 2 + 2 × 2 + 2 ÷ 2=

Answers

Answer:

7 is the answer.

Pls mark brainliest.

What is the value of x when
Log×=-2.7777
And explain it easy

Answers

[tex]\log_{10} x = -2.7777\\\\\implies x = 10^{-2.7777}\\\\\implies x = \dfrac{1}{10^{2.7777}}\\\\\implies x = 0.00167[/tex]

hey i need 6 /14 but i only have 2 1/3 please help

Answers

18/42 and 2 and 14/42

Step-by-step explanation u need the 1/3 and ok im sry but i tried figuring it out but i d k

Plz help me with this

Answers

Answer:

C = 11.18

Step-by-step explanation:

You're trying to find c's value, right?

For triangles, a^2 + b^2 = c^2

What you want to do is replace the values into the formula.

A = 5

B = 10

5^2 + 10^2 = c^2

(^2 means squared by the way if you don't know)

Square the values.

25 + 100 = c^2

125 = c^2

You then have to find the root value of 125. What number squared equals 125?

Using a calculator, you would find the number is 11.18.

So, the value of c is 11.18

Please let me know if that wasn't what the question was asking and I'll try to help :)

Rhombus FGHI with vertices F(6, -1), G(11, -3), H(13, -8), and I(8, -6) is dilated using scale factor = 2, centered at (12, -1)

Answers

The final coordinate of the vertices after the transformation is F"(0, -1), G"(10, 5), H"(14, 15) and I"(4, -11)

If the coordinate vertice (x,y) is dilated by a factor k, the resulting coordinate of the image will be (kx, ky). Note that each of the coordinates was multiplied with the factor to get the resulting coordinate.

For the coordinates of the rhombus FGHI with vertices F(6, -1), G(11, -3), H(13, -8), and I(8, -6), if dilated by a factor of 2, the resulting coordinates will be at F'(12, -2), G'(22, -6), H'(26, -16), and I'(16, -12)

If the resulting coordinate is centered at (12, -1), we will simply subtract the center from the resulting coordinate to get the final position of the rhombus. The final coordinates will be as shown:

F'' = (12-12, -2+1) = (0, -1)

G'' = (22-12, -6+1) = (10, -5)

H'' = (26-12, -16+1) = (14, -15)

I" = (16-12, -12+1) = (4, -11)

Therefore final coordinate of the vertices after the transformation is F"(0, -1), G"(10, 5), H"(14, 15) and I"(4, -11)

Learn more on dilation here: https://brainly.com/question/11348620

Someone please help me with this

Answers

Y=-2x-7/ Y=3/4+2 1/2

ILL MARK BRAINLIEST PLEASE HELP! Solve and graph its solution:

In 2005, the average cost of a 32" flat-screen TV was $1,700. In 2015, the average cost of a 32" flat-screen TV was $550. Assuming those were the least and greatest costs during that period, write a compound inequality that describes the cost c of a 32" flat-screen TV between 2005 and 2015.

Answers

Answer:x < 1,700. ×> 550

Step-by-step explanation:

Answer:AHHHH

Step-by-step explanation:

what does 1/4 divided by 1/10 equal

Answers

Answer: 2/5

Step-by-step explanation: hope it helps

1. Reduce the ratio to the simplest form:
a)5:10=_____.
b)60:54=____.

Answers

Answer:

1:2 by division of 5

10:9 by division of 6

A. 1:2

B. 10:9
have a great day

50 POINTS!!!! Hellppp me with this!!!! Click to view whole pics!!! If you can view it it basically says : You are making several purchases from the B-Better Electronics store. You can buy from this store online or in a physical store. You have a coupon for 20% off that can only be used in the physical store and a $20.00 off coupon that can only be used online. The sales tax of 7.5% only applies to the physical store.
Shipping for the online store is a flat rate of $8.99 or free for purchases over $75.00. Using the information below, which way of purchasing would save you the most money?

B-better electrics store:
Headphones. 1 pair. 14.99/e
DVDs 4dvds 13.95/e
CDs. 2cds. 9.85/e
————————————————-

Online store:
Headphones 1 pair. 13.50/e
DVDs. 4dvds 14.99/e
CDs. 2cds. 10.99/e
————————————————-

Answers

The online store is better
The in store price comes to $77.82 while the online comes out to $75.44


Help me pls right now I give brainliest

Answers

Answer:

4 + (2 x 3)^2

Step-by-step explanation:

4 + 6^2

4 + 36

40

What is the equation of the oblique asymptote?
h(x) = x² – 3x - 4/x + 2

Answers

Simplifying h(x) gives

h(x) = (x² - 3x - 4) / (x + 2)

h(x) = ((x² + 4x + 4) - 4x - 4 - 3x - 4) / (x + 2)

h(x) = ((x + 2)² - 7x - 8) / (x + 2)

h(x) = ((x + 2)² - 7 (x + 2) - 14 - 8) / (x + 2)

h(x) = ((x + 2)² - 7 (x + 2) - 22) / (x + 2)

h(x) = (x + 2) - 7 - 22/(x + 2)

h(x) = x - 5 - 22/(x + 2)

An oblique asymptote of h(x) is a linear function p(x) = ax + b such that

[tex]\displaystyle \lim_{x\to\pm\infty} h(x) - p(x) = 0[/tex]

In the simplified form of h(x), taking the limit as x gets arbitrarily large, we obviously have -22/(x + 2) converging to 0, while x - 5 approaches either +∞ or -∞. If we let p(x) = x - 5, however, we do have h(x) - p(x) approaching 0. So the oblique asymptote is the line y = x - 5.

The measure of angle b = 80° and the measure of angle c = 40°. the measure of angle a equals....?​

Answers

angle a = 180°-80°-40°=60°

Which value for x proves that abc=def by sss

Answers

Answer:

7

Step-by-step explanation:

DE corresponds to AB.

37=5x+2

-2 -2

35=5x

7=x

How much fence is needed to surround a garden with side lengths of 2.1 meters, 3.5 meters, 1.9 meters, and 2.25 meters?

Answers

Answer: 9.75m

Step-by-step explanation:

3.5 + 2.1 + 1.9 + 2.25 = 5.75 + 4 = 9.75 m

I would appreciate if some would help me w 13 ^^ ty

Answers

I think the answer is 8 I’m not sure tbh
Other Questions
PLZ PLZ PLZ PLZ PLZ hurry and help it's between b and d i thinkthis is fro character ed 1. Make a Prediction Write a rule that you can use to find the number of star beads in a bracelet when you know the number of moon beads. Then write a rule that you can use to find the number of moon beads when you know the number of star beads. All of the following are examples of labour intensive industry EXCEPT: *1 pointPsychiatryteachingmanufacturingsports coaching Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.Online Content: Site 1Identify three things the government controls in a communist country, and give one example of a current communist country. (Site 1) the quotient of a number and 7 is greater than or equal to 20 What properties do all solids share? What is the scale factor of thedilation shown? Mrs. Montgomery earns a 6.5% commission on her total sales. Last month, she had sales of $55,780. How much commission did Mrs. Montgomery earn last month? i really need help, does anyone know these A coffee shops blog allows people to post ideas about new coffee drinks, names of flavors, and future promotions. What two purposes does this blog have?to inform stakeholders about the companys performanceto gather feedback about products from customersto communicate job openings to prospective employeesto encourage customers to interact with one anotherto announce changes in the companys structure to investors What is the main idea of this article excerpt? Service means helping others in the community. Service benefits the helpers and those helped. Service is valuable because it is done for free. Service requires help with food production. Question 20 0/1 pts What is the frequency of a light wave with the wavelength of 680 nm? 'Reminder: the speed of light is 3.00 X 10 m/s Question 1What was one reason for the Siege of Savannah during the American Revolution?Ato end the colonial boycott of British productsBto end the British military occupation of the cityto force Savannah Loyalists to support the independence movementDto force Savannah businesses to provide military support to the Patriots Find the midpoint of the segment with the following endpoints. (10,6) and (4,9) How does a pedometer help people reach their fitness goals?A.It measures calories burned throughout the dayB.It usually doubles as an MP3 player and keeps people motivated.C.They help people reach their goals by counting the number of steps taken.D.They measure the number of lifts done during each exercise performed. Does any one mind helping me on this question I have struggle solving it Find EGPlease help Fill in the blank. We should take the side of the __________ and the victims when they are illegally compelled to suffer. What are the steps to convert a number from standard notation to scientific notation? Study the map of religions in Europe.A map of Religion in Europe. Christianity is marked in shades of purple. Islam is marked in shades of green. Italy is 75 to 90 percent Christian. Spain is over 90 percent Christian. Germany has no data. The United Kingdom is 50 to 75 percent Christian.In which country does more than 90 percent of the population practice Christianity?