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Novay_Z [31]
3 years ago
9

Plane A is descending toward the local airport, and plane B is ascending from the same airport. Plane A is descending at a rate

of 2,500 feet per minute. Plane B is ascending at a rate of 4,000 feet per minute. If plane A is currently at an altitude of 14,000 feet and plane B is at an altitude of 1,000 feet, how long will it take them to be at the same altitude? The equation representing plane A’s descent is y = -2,500x + 14,000. The equation representing plane B’s ascent is y = 4,000x + 1,000. In both equations, y represents altitude and x represents time in minutes.
Mathematics
1 answer:
Bas_tet [7]3 years ago
5 0

Answer: 2 minutes

Step-by-step explanation:

Given the following :

Plane A's descent :

y = -2,500x + 14,000

Plane B's Ascent :

y = 4,000x + 1,000

where y = altitude x = minute

Time to be at the same altitude :

Being at the same altitude means ;

Plane A's descent = Plane B's Ascent

-2,500x + 14,000 = 4,000x + 1,000

-2500x - 4000x = 1000 - 14000

-6500x = - 13000

x = 13000 / 6500

x = 2

x = 2minutes.

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14

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35% of 40 is 14

8 0
2 years ago
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A 5×6 rectangular grid with unit cells is given. Let A(0, 0) and B(5, 6) be the bottom-left corner and top-right corner, respect
harina [27]

Answer:

462 paths from A to B

Step-by-step explanation:

The question is incomplete. However, a possible question is to determine the number of possible paths on the grid map.

The first step is to represent the grid map itself. (See attachment 1)

From the question, we understand that:

  • Only right movement is allowed in the horizontal direction
  • Only up movement is allowed in the vertical direction

There are a several number of ways to navigate through. However, one possible way is in attachment 2

In attachment 2,

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  • U represents the up movement

And we have:

R = 5     and    U = 6

The number of possible paths (N) is then calculated as:

N = \frac{(N + U)!}{N!U!}

Substitute values for N and U

N = \frac{(5 + 6)!}{5!6!}

N = \frac{11!}{5!6!}

N = \frac{39916800}{120 * 720}

N = \frac{39916800}{86400}

N = 462

<em>Hence, there are 462 possible paths from A to B</em>

4 0
3 years ago
A truck driver is going down a one way street the wrong way, and passes at least ten cops. Why is he not caught?
Murljashka [212]
The truck driver was walking
4 0
3 years ago
What is the quotient of 5 7 ÷ 5 14 ?
KatRina [158]

Answer:

<h2><u>=</u> <u>   57 / 514  </u>    <u>(Decimal: 0.110895)</u></h2>

Step-by-step explanation:

57 / 514

<u>=   57 / 514 </u>

<u>(Decimal: 0.110895)</u>

<u></u>

<u></u>

<u></u>

<u></u>

<u></u>

<u></u>

<u></u>

<u></u>

<u></u>

<h2><u>And if that is not what you are looking for here: </u></h2><h2><u></u></h2>

Rewrite the equation as  

x /14 =  5/ 7 .  x/ 14 =  5/ 7

Multiply both sides of the equation by  

14.14  ⋅  x /14 =  14 ⋅ 5 /7

Simplify both sides of the equation.

Tap for fewer steps...

Cancel the common factor of  14 .  

Cancel the common factor.

14 ⋅  x /14 =  14 ⋅ 5 /7

Rewrite the expression.

x = 14 ⋅ 5 /7

Simplify  14 ⋅  5/ 7 .

Cancel the common factor of  7 .

Factor  7  out of  14 .

x = 7 ( 2 ) ⋅ 5/ 7

Cancel the common factor.

x = 7 ⋅  2 ⋅  5/ 7

Rewrite the expression.

x  = 2 ⋅ 5

Multiply  2  by  5 .

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3 0
2 years ago
Mary's weight went from 80kg to 68kg. express her weight loss as a % of her original weight
Ratling [72]

80-68=12

12/80=0.12


12% is the answer

6 0
3 years ago
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