Mathematics High School

An air traffic controller is tracking two planes. To start, Plane A was at an altitude of 700 meters, and Plane B was at an altitude of 424 meters. Plane A is gaining altitude at 16 meters per second, and Plane B is gaining altitude at 22 meters per second. Let x be the number of seconds that have passed.

(A) For each plane, write an expression for the altitude of the plane after x seconds.

(B) Write an equation to show when the two planes would be at the same altitude.

Answers

Answer 1

(A) The expression for each plane are as follows;

Plane A; 700 + 16xPlane B; 424 + 22x

B). The equation to show when the two planes would be at the same altitude is; 700 + 16x = 424 + 22x.

Which equation shows when the two planes would be at the same altitude?

It follows from the task content that the initial altitudes of plane A and B are 700 and 424 respectively.

Hence, since plane A gains altitude at 16 meters per second; The expression for the altitude after x seconds is;

700 + 16x

Also, since plane B gains altitude at 22 meters per second; The expression for the altitude after x seconds is;

424 + 22x

Therefore, when the two planes are at the same altitude; the equation which is true is;

700 + 16x = 424 + 22x.

Read more on linear expressions and equations;

https://brainly.com/question/29270827

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Related Questions

Solve the equation. 12x+3=51

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[tex]12x + 3 = 51 \\ 12x = 48 \\ x = 4[/tex]

Answer:

= 4

Step-by-step explanation:

1 2 + 3 = 5 1

1 2 + 3 -3 = 5 1 − 3

i hope this helps<3

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Answer:

Step-by-step explanation:

A survey taken by 1,000 students at a school asked whether they played school sports. The table below
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Answers

Answer is 252 have a good day

Find the perimeter of the following rectangle. Hint: add all sides.

Answers

Answer:

Step-by-step explanation:

The formula for the perimeter is 2l +2w. 4x^2+4x^2=8x^2. y^2+y^2=2y^2.

If we add them together the answer is 8x^2+2y^2.

Jessica and Lindsay are curious as to who owns the most pairs of shoes. Jessica counter shoes and finds that she owns 18 pairs of shoes. When Lindsay counts hers, she finds that she owns only approx 72% as many as jessica. How many pairs of shoes does she own?

Answers

Answer: 13 pairs

Step-by-step explanation:

Given

Jessica owns 18 pairs of shoes

Lindsay has 72% as many as Jessica

So, the number of pairs Lindsay owns

[tex]\Rightarrow 72\%\ \text{of}\ 18=0.72\times 18\\\\\Rightarrow 12.96\approx 13\ \text{pairs}[/tex]

Answer:

13 pairs

Step-by-step explanation:

Given

Jessica owns 18 pairs of shoes

Lindsay has 72% as many as Jessica

So, the number of pairs Lindsay owns

Wyatt is hiking a trail that is 11/12 mile long.After hiking 1/4 mile he stops for water he continues hiking for another 1/6 mile and stops to rest how much farther must he hike to finish the trail

Answers

Answer:

the answer in the simplest form is 1/2 miles and if it's not in its simplest form is 6 /12 .hope it helps.

are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

i consiterd them

Step-by-step explanation:

I'LL GIVE BRAINLIEST TO ONE OF THE FIRST 2 PEOPLE TO ANSWER. DON'T JUST PUT ANYTHING OR YOU WON'T GET BRAINLIEST

Determine whether the ordered pair is a solution of the linear equation. Provide your check step.

-9 - 5y = 4x ; (-6,3)

Answers

Answer:

what is ; for that messes me up i dont know why you put that

Step-by-step explanation:

WILL MARK BRAINLIEST IF CORRECT

Answers

Answer:

3rd Option

Step-by-step explanation:

Answer: The answer is C (the Third choice)

Step-by-step explanation:

Whats is 12 =12x -1 ????????

Answers

Answer:

if you want 12 x 12 - 1 it is 143

Answer:

13 / 12

Step-by-step explanation:

12 = 12x - 1

12x - 1 = 12

12x = 12 + 1

12x = 13

x = 13 / 12

PLZZZZ PLZZZ I HAVE 9 MINUTES LEFT PLZZZ ANSWER THIS PLZZZ IM BEGGING PLZZZ NO SCAMS NO NUN PLZZZ JUST ANSWER

Answers

Answer:

AC=19

AB=8.5

<BAD=65

<ABC=115

<BAE=35

Help fast I gotta pass

Answers

Answer:

the value of x=25

option B

i found it !hjjihvjjijb

I'll give the first person to answer a Brainliest :)
Factor: -4y - 16

Answers

Answer:

-4(y+4)

Step-by-step explanation:

Factors is something that influences something else.

Distributive property:

A(B+C)=AB+AC

16=4*4

Rewrite the problem down.

-4y-4*4

Solve.

Find the common term of -4.

-4(y+4)

As a result, the final answer is -4(y+4).

What is the decay factor that corresponds to a 10% decrease?
10
C. 90
b. 0.10
d. 0.90

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.90

Natasha runs all the way around the edge of her backyard. Her back-yard is 11 feet wide and 15 feet long. How far does Natasha run?

Answers

Answer:

The answer is 52

Step-by-step explanation:

This problem is perimeter so you add 11 plus 11 plus 15 plus 15 to get 52.

3rd of the day C: dis for u friend

Answers

Answer:

Thanks for the points!

Step-by-step explanation:

Helps so much if I got that Brainliest crown

You are so generous

Answer:

hi! do you need help with anything? :)

Step-by-step explanation:

Jackie deposits $2,050 into an account that pays 6.8% interest compounded annually. How much will be in the account (to the nearest dollar) after 6 years?

Answers

Answer:

$2091 (exact answer is $2090.80)

Step-by-step explanation:

2050 × 6.8% = 6.8

So, interest will add an extra $6.80 to his account

6.8 × 6 = 40.8

So, after 6 years, interest will make him an additional $40.80.

Add 40.80 to his original amount of money.

2050 + 40.8 = 2090.80

Round it up to the nearest dollar.

$2091

I don't know what the answer is. Please Help

Answers

Answer:

Step-by-step explanation:

Hope this helps

~R3V0

please help 30 points

Answers

Answer:

The area of the polygon is 624.5 square feet.

Step-by-step explanation:

The total area of the figure ([tex]A[/tex]), in square feet, is the sum of the areas of two triangles and a rectangle, that is:

[tex]A = A_{I}+A_{II}+A_{III}[/tex] (1)

Where:

[tex]A_{I}[/tex] - Area of the big triangle, in square feet.

[tex]A_{II}[/tex] - Area of the small triangle, in square feet.

[tex]A_{III}[/tex] - Area of the rectangle, in square feet.

Then, we expand the formula by using all dimensions presented in the image attached:

[tex]A = \frac{1}{2}\cdot (25\,ft)\cdot (33\,ft-8\,ft) + \frac{1}{2}\cdot (8\,ft)\cdot (43\,ft-35\,ft) + (35\,ft)\cdot (8\,ft)[/tex]

[tex]A = 624.5\,ft^{2}[/tex]

The area of the polygon is 624.5 square feet.

please helppp

three numbers have a ratio of 2:3:4 . find the largest number if their sum is 36

Answers

Answer: 16 is the largest number

Explanation: Hope this helps!

Answer:

Step-by-step explanation:

2x + 3x + 4x = 36

x = 4

Largest number = 4x = 16

After winning a soccer game, the coach took the team out for ice cream cones. He spent $21 on 12 single-scoop ice cream cones. If all the ice cream cones cost the same amount, what was the cost of one ice cream cone?

Answers

Answer:

Unitary cost= $1.75

Step-by-step explanation:

Giving the following information:

He spent $21 on 12 single-scoop ice cream cones.

To calculate the unitary cost, we need to use the following formula:

Total cost= number of units*unitary cost

Unitary cost= total cost / number of units

Unitary cost= 21 / 12

Unitary cost= $1.75

Anacondas are snakes found in South America anacondas can measure over 16 1/2 feet in length how many inches are in 16 1/2

Answers

Answer:

198 inches

Step-by-step explanation:

There are 12 inches in each foot

multiply 16 by 12 you get 192

Half of a foot is 6 inches

add 6 inches and you get 198

Answer:

There are 198 inches in 16 1/2 feet

Step-by-step explanation:

16.5 × 12 = 198 inches

p (x) = - 2/3x^2 compare the graph of f (x) = x ^2

Answers

Answer:

p(x) is reflected over the x axis and is shrunken vertically by a factor of 2/3.

Step-by-step explanation:

Hope this helps.

A certain forest covers an area of 3900 km^2. Suppose that each year this area decreases by 6.75%. What will the area be after 12 years

Answers

Answer:

1686

Step-by-step explanation:

Rate of reduction = 100 - 6.75 = 93.25%

After 12 years, the reduction in trees = 0.9325^12 = 0.432301

Area after 12 years = 3900 x 0.432301 = 1686

-15.3 = -7.5k + 55.2

Answers

Answer:

k=0.1

Step-by-step explanation:

-15.3=-7.5k+55.2

7.5k=15.3+55.2

7.5k=70.5

k=70.5/7.5

k=705mul.10/75mul.10

k=705/0/750

k=0.1

Which is the graph of a quadratic equation that has a positive discriminant?

Answers

Answer:

Step-by-step explanation:

on edge :)

Answer:

Step-by-step explanation:

edge

Multiply.

(x+3)(2x+4)

A
3x2 + 7x + 12

B
2x2 + 7x + 12

C
3x2 + 10x + 12

D
2x2 + 10x + 1

Answers

Answer:

2x²+10x+12

Step-by-step explanation:

2x²+4x+6x+12

2x²+10x+12

6 grade math pls help

Answers

Answer: <2=60°

Step-by-step explanation:

Equilateral meaning all same. Triangle whole will be 180° So 60x3=180°

Answer:

<2=60

Step-by-step explanation:

I hope it help

i need help please help me i’m freaking out and I really need this

Answers

Answer: oof

Step-by-step explanation:

Answer:

the answer is a

Step-by-step explanation:

A jacket has an original price tag of $68. The jacket is on sale for 80% of its original price. What is the sale price of the jacket?

Answers

Answer:

I believe it is 54.40$

Step-by-step explanation:

I think weird. so

68 divided by 5 which will give you 20%(13.6) then multiply by 4 which is 80%(54.4)

Answer:

Sale price = $13.6

Step-by-step explanation:

The 80% cost of the jacket is,

→ (68/100) × 80

→ 0.68 × 80

→ $54.4

Now the sale price will be,

→ 100% - 80%

→ 68 - 54.4

→ $13.6

Hence, sale price is $13.6.

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