Challenge An airplane is preparing to land at an airport. It is 36,000 feet above the ground and is descending at the rate of 3,200 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,800 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be? Use pencil and paper. Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation


They will be at the same altitude in _ minutes, when their altitude will be _ feet.

Challenge An Airplane Is Preparing To Land At An Airport. It Is 36,000 Feet Above The Ground And Is Descending

Answers

Answer 1

Answer:

6 seconds., 16800 feet

Step-by-step explanation:

The first plane is going y = -3200x + 36000

The second plane is going y = 2800x

Substitute the second equation for y into the first one:

2800x = -3200x + 36000

6000x = 36000 (Add 3200x to both sides)

x = 6 (Divide each side by 6000)

That means they will be the same altitude at 6 minutes.

To find how high, put your answer into one of the equations.

y = 2800 (6)

y = 16,800 feet


Related Questions

Item 3 Martin is a chef and a caterer. When catering an event, he plans the amount of food to be prepared based on the number of people he needs to serve. The equation y = 7x represents the number of ounces of chicken required to serve x people. The equation y = 5x represents the number of ounces of fish required to serve x people. What is true of the comparison of the two graphs?

Answers

Answer:

The line representing the number of ounces of chicken required to serve x people is steeper than the line representing the number of ounces of fish required to serve x people.

Step-by-step explanation:

I took the test

Comparing the two graphs, we can conclude that: the graph representing the number of ounces of chicken required to serve x people has a steeper slope than the graph representing the number of ounces of fish that will serve x people

Recall:

The linear equation of a proportional graph is represented as y = mx, where m is the slope or gradient.The larger the value of the slope, the steeper the slope of the graph.

Given the following:

Graph representing the number of ounces of chicken required to serve x people: y = 7x

The slope is 7.

Graph representing the number of ounces of fish required to serve x people: y = 5x.

The slope is 5.

Therefore, comparing the two graphs, we can conclude that: the graph representing the number of ounces of chicken required to serve x people has a steeper slope than the graph representing the number of ounces of fish that will serve x people

Learn more about slopes on:

https://brainly.com/question/12242745

Consider the equation.
8x - 16y = - 14

The equation representing a line that is parallel to the line given and passing through the point (3, 0) is y= ___ x + ___

Answers

Answer:

[tex]y= \frac{1}{2}x+3[/tex]

Step-by-step explanation:

Rearrange equation to isolate y variable.

[tex]16y=8x+14[/tex]

Divide by 16 on both sides.

[tex]y=\frac{1}{2} x+7[/tex].

To make the line parallel to the given equation and pass through (3,0),

we will move the y intercept to 3.

[tex]y= \frac{1}{2}x+3[/tex]

Please someone help solve:
2/2t√3≡4-2√3

Answers

Answer:

i'm assuming you want to solve for t?

t=(2√3+3)/6

If 60% of a KNOWN NUMBER is 180, what is the 40% of that UNKNOWN NUMBER?

Answers

Step-by-step explanation:

I think you mean you want to find out 40% of a number,, when 60% of it is 180, so I'll answer that:

60% = 180

÷6

10% = 30

x4

40% = 120

(if you want to find 100%, multiply 30 by 10)

Hopefully this helps :)

Sarah rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 2.

Answers

Answer:

1/36.

Step-by-step explanation:

She gets 1 on the first dice and 1 on the second.

This is the only way Sarah can get a sum of 2.

The total  possible outcomes is 6*6 = 36.

So the required probability is 1/36.

what is 3 1/2 X 2 X 9 1/3

Answers

Answer: 21

Steps: Convert the mixed number to an improper fraction and Reduce the numbers with the greatest common factor

- 7/2 * 2 * 3

Reduce the numbers with the greatest common factor

7 * 3

Answer = 21

Emily is eating her colored candies in the following pattern: one green, one blue, one red , one orange, one brown, one green, one blue, and so on. If this pattern continues, the 27 candy she eats will be what color?

Answers

Answer:

blue

Step-by-step explanation:

a b c d e

1 2 3 4 5

27-25=2

so b, or blue

Someone plz help :(

Side Lengths Angle Measures

6.6 in. 45∘

9.4 in. 90∘

6.6 in. 45∘

Based on the measurements, which answer best describes the triangle?

obtuse scalene triangle

obtuse isosceles triangle

acute scalene triangle

right isosceles triangle

right scalene triangle

right equilateral triangle

acute isosceles triangle

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

According to the given information, The Triangle should be ~

[tex] \sf Right \: \: Isosceles \: \: triangle [/tex]

It's because the Triangle has two equal sides 6.6 inches each. and One right angle (90°) ~

How do you add 11/11 + 23/45? And what is the answer? Explain how you got that answer

Answers

Answer:

90

Step-by-step explanation:

first you do 11 + 11 =22

23+45=68

now im postitive you add 68 and 22 and get you final answer which is ...

90

Answer:

1 23/45

Step-by-step explanation:

Start by multiplying numerators and denominators to get the LCD in all fraction denominators

=11×45/11×45+23×11/45×11

Then rewriting the equation with the equivalent fractions

=495/495+253/495

With like denominators we can operate on just the numerators

=495+253/495

=748/495

Simplifying the answer

=68/45

=68/45

=1 23/45

answer this pleaseeeee

Answers

Answer:

Each goat gets 3 carrots and there are 4 extra carrots left

Step-by-step explanation:

5*3=15

OR: If you wanted to do it exact you give each goat 3 carrot's and an 1/8th of one and you'd have no extra carrots left.

5*3.8=19

Answer:

the answer is simple 3 remainder of 4

Step-by-step explanation:

so he had 5 goats and 19 carrots  

19/5=3.8 which mean 3 and 4  left

Can someone please help me with this one ty!!

Answers

Sure bro j Jeff fb le go ñ lo ok

I need help with this question ASAP!

Answers

the answer is c because 3/6 simplified is equal to 1/2

To attend a class field trip, each student will have to pay 3$ for a theater ticket and $2.50 for transportation. If there are 200nstudents in the class, how much money will be collected for the field trip?​

Answers

Answer:

1100

Step-by-step explanation:

because everyone will be giving 5.5 dollars and if you multiply that with 200 you get 1100

Answer:

1,100

Step-by-step explanation:

Write an EQUATION with an undefined slope:

Answers

Answer:

Example of an equation with an undefined slope: x = 2

Step-by-step explanation:

Definitions

The standard form of linear equations with an undefined slope is x = a, whose graph represents a vertical line. The value of a in the standard form is the x-intercept, (a, 0).  

The slope is the ratio of the vertical change in y-values to the horizontal change in x-values.

[tex]\displaystyle\mathsf{Slope(m) =\:\frac{\triangle y}{\triangle x}\:=\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

The slope of a vertical line is undefined because if we were to solve its slope, the denominator will be zero. As we know, division by zero is an undefined operation.  

Example:

For example, suppose that we have the following points (2, 5) (2, 10).

Let (x₁, y₁) = (2, 5)

     (x₂, y₂) = (2, 10)

Substitute these values into the slope formula:

[tex]\displaystyle\mathsf{Slope(m) =\:\frac{\triangle y}{\triangle x}\:=\frac{y_2 - y_1}{x_2 - x_1}\:=\:\frac{10\:-\:5}{2\:-\:2}\:=\frac{5}{0}}[/tex]

Dividing the numerator, 5, by the denominator, 0, will have an undefined quotient.

Thus, the equation of the vertical line will be: x = 2, where a = 2.

From his house, Tom rides his bike 5 kilometers east to the store. He then rides his bike 2 kilometers west to his friends house. What Tom's displacement from his house

Answers

Answer:

3 km

Step-by-step explanation:

He starts by going 5 km east, then he turns around and goes 2 km west. So he is now 3 km from his house.

How many lines of symmetry does this have it. If none put 0.​

Answers

Answer:

well a line of symmetry is a line that cuts a shape directly in half in this case there is 4

Step-by-step explanation:

The table below shows the number of minutes a household phone is used daily based on the number of household members.

Which equation best models this set of data?

A. P = -20.2x^2 - 1.3
B. P= -20.2x - 1.3
C. P= 20.2X^2 + 1.3
D. P= 20.2x + 1.3

Answers

I'm pretty sure the answer would be D) P = 20.2x + 1.3 but the answer should be P = 19.2x + 1.3, but it isn't listed so it would be D

What is the LCD of 8/9 and 2/3

Answers

9 is the least common denominator
9 is the LCD of those two fractions

A rectangular hotel room is 4 meters by 7 meters. The owner of the hotel wants to recarpet the room with carpet that costs $71.00 per square meter. How much will it cost to recarpet the room?

Answers

Answer:

is it $120?

Step-by-step explanation:

Answer:

1,988$

Step-by-step explanation:

4x7=28x71

Plzzzz help asap
This table shows input and output values for a linear function
f(х)
What is the positive difference of outputs for any two inputs that
are three values apart?

Enter your answer in the box.

Answers

Answer:

2

Step-by-step explanation:

From what I understand from the question,

you're looking for the difference between f(x) and f(x+4)

lets take the points f(-3) and f(1)

the difference is 0.5 - -1.5=2

what is the answer to this question 1.6x + 30

Answers

what are you trying to find ?

PLEASE HELP QUESTION IN PICTURE

Answers

I think it’s B 132 because it’s an obtuse angle and those measure more than 90 degrees
It’s definitely B because ABC is a obtuse angle and B is the number above 90

2616.95 rounded to the nearest tenth

Answers

2617.0 would be the answer

Freddie swam 5/7 laps on Monday, Tuesday, and Wednesday. 1/4 laps on Thursday and Friday. How many laps did he swim in total?

Answers

Answer: 27/28 or 0.9642857

   

Step-by-step explanation:

5/7 + 1/4 = 5 · 4/7 · 4 + 1 · 7/4 · 7 = 20/28 + 7/28 = 20 + 7/28 = 27/28

Rico's dog weighs 64 pounds.
The dog is 3 times as heavy as he was when he was 6 months old.

Write an equation that can be used to find the dog's weight, w, when he was 6

months old.

Answers

The equation that can be used to represent the weight of the dog when he was 6 months old is 64/x.

What is the  equation that can be used to represent the weight of the dog when he was 6 months old?

The equation that can be used to represent the dog's current weight is: 64 = 3x

Where x represents the weight of the dog when he was 6 months old

In order to determine the value of x, divide both sides of the equation by 3

x = 64/x

To learn more about division, please check: https://brainly.com/question/13281206

Answer:

the answer is below

Step-by-step explanation:


Which algebraic expression represents the
following situation: Six fewer seashells than
the total number of seashells in p packages,
each of which has five seashells?
Is it c

Answers

Answer:

Yes, it is c

Step-by-step explanation:

Because there are 5 seashells in p packages, you can do 5p to represent the total. There are 6 fewer sea shells, so it would be 5p-6 to represent the new situation.

Based on the information given, the equation to represent the situation is 5p - 6.

The information given is that there are six fewer seashells than the total number of seashells in p packages, each of which has five seashells.

Therefore, the equation will be:

= (5 × p) - 6

= 5p - 6.

Learn more about equations on:

https://brainly.com/question/2972832

BRAINLIEST
Do one of the above and show your work

Answers

Answer:

10,   C = circumference = 2 pi 11 = 69.11 since the radius = 6

PR = C / 2 = 34.6  since PR is 1/2 the circumference

PS = 34.6 - 16 = 18.6    since PS is 16 ft short of C/2

Answer:

Step-by-step explanation:

I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY. Find the value of X

Answers

Answer:

x = 12.81

Step-by-step explanation:

pls help on my maths

Answers

Answer:[tex]r = 2.82[/tex]Step-by-step explanation:

Given:

[tex]A = 25[/tex]

Let's simplify.

=> [tex]25 = \frac{22}{7} r^{2}[/tex]=> [tex]\frac{25}{\frac{22}{7} } = \frac{\frac{22}{7}r^{2} }{\frac{22}{7\\} }[/tex]=> [tex]\frac{7(25)}{22} = r^{2}[/tex]=> [tex]\sqrt{\frac{25(7)}{22}}= \sqrt{r^{2}}[/tex]=> [tex]\sqrt{\frac{25(7)}{22}}= r[/tex]=> [tex]r = 2.82[/tex] (Estimated)

Therefore, r ≈ 2.82.

Hoped this helped.

Answer:

r= 5/√  π

or

r=2.820948 or simplified =2.82

Step-by-step explanation: it could be either one of these

Please I need Help!!! Solve this equation by factoring by grouping x^2-4x=12. All work must be shown and no other method will be accepted.

Answers

x² - 4x = 12

x² - 4x - 12 = 0

x² + (2x - 6x) - 12 = 0

x² + 2x - 6x - 12 = 0

x (x + 2) - 6 (x + 2) = 0

(x - 6) (x + 2) = 0

Then the solutions are x = 6 or x = -2.

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