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marusya05 [52]
3 years ago
11

A pilot can travel for 140 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the w

ind if the pilot speed in still air is 200 mph.
Mathematics
1 answer:
quester [9]3 years ago
4 0

Answer:

  -88 mph

Step-by-step explanation:

We can use the relation ...

  time = distance/speed

to compare the times in the two directions.

  \dfrac{140}{200+w}=\dfrac{360}{200-w}\\\\140(200-w)=360(200+w)\\\\200(140-360)=w(360+140)\\\\w=\dfrac{200(-220)}{500}=-88 \quad\text{miles per hour}

The wind speed is -88 miles per hour.

_____

The problem statement tells us the travel is slower <em>with</em> the wind than <em>against</em> the wind. Hence "with the wind" must be subtracting from the net speed. That is, the wind speed is negative.

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“The perimeter P of a triangle is equal to the sum of the lengths of sides a,b, and c”
Kryger [21]

Answer:

1. Write the addition of "a", "b" and "c".

2. The equation is: P=a+b+c

Step-by-step explanation:

You know that <em>P</em> represents the perimeter of the triangle and <em>a, b </em>and <em>c </em>represent the sides of the triangle.

By definition, the sum is the result of an addition. Therefore, the statement "The perimeter <em>P</em> of a triangle is equal to the sum of the lengths of sides <em>a, b</em>, and <em>c</em>”, indicates that the perimeter is obtained by adding the lengths of the sides of the triangle.

Knowing this, you can write the following equation:

P=a+b+c

5 0
3 years ago
Sofia is comparing celluer plans. Company A charges a flat fee of 59.99 a month and .43 additional minutes. Company B charges 69
Vsevolod [243]

Answer: it will take 125 additional minutes for both costs to be equal.

Step-by-step explanation:

Let a represent the number of additional minutes that it will it take for the two to be the same.

Company A charges a flat fee of 59.99 a month and .43 additional minutes. This means that the total cost of a additional units would be

0.43x + 59.99

Company B charges 69.99 a month and .35 for additional minutes. This means that the total cost of a additional units would be

0.35x + 69.99

For the cost of the two plans to be the same, it means that

0.43x + 59.99 = 0.35x + 69.99

0.43x - 0.35x = 69.99 - 59.99

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5 0
3 years ago
Help me with this question please and thank you!!! :):)
kirill [66]

Answer:

A intersection B = ( elements which are common in both)

= ( 2,4,7,19)

A union B = ( all the elements which are either in A or in B).

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2 years ago
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Aleksandr [31]
<span>this polynomial has a repeated factor in (x - 2). so its true</span>
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3 years ago
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Which of the following polynomials is in standard form (Picture)
snow_lady [41]

Answer:

D

Step-by-step explanation:

A polynomial in standard form has the terms in ascending order.

In other words, the term with the largest degree is on the left, followed by the term with the second largest degree, etc.

The largest term in this polynomial is 2x³. Thus, we need to start with that.

The only choice that starts with 2x³ is choice D.

Thus, choice D is in standard form.

And examining choice D, we see that it is in ascending order all the way through.

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3 years ago
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