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Rom4ik [11]
2 years ago
14

A commercial airplane broke a record when it traveled 5,540 kilometers from new york to london in 5 hours because of a strong je

t stream. on the same day, a different airplane traveled 2,964 kilometers from denver to hartford in 3 hours. part a: how much further, in kilometers, did the plane from new york to london fly in one hour compared to the plane from denver to hartford?
Mathematics
1 answer:
katen-ka-za [31]2 years ago
4 0

The plane from new york to london fly  515.2 km per hour compared to the plane from denver to hartford .

<h3>What is Ratio ?</h3>

Ratio is when a number is divided by any other number and written in the form p:q.

It is given in the question that

A commercial airplane broke a record when it traveled 5,540 kilometers from new york to london in 5 hours .

a different airplane traveled 2,964 kilometers from denver to hartford in 3 hours.

The airplane travelled 5,540 kilometers in 5 hours

In 1 hour , the commercial airplane covered  5540/5 = 1108 km.

In 1 hour , the other airplane covered  2964/5 = 592.8 km

Therefore the plane from new york to london fly 1108- 592.8 = 515.2 km per hour compared to the plane from denver to hartford .

To know more about Ratio

brainly.com/question/13419413

#SPJ1

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Which expression is equivalent to square root 55x^7y6/11x^11y^8
Novay_Z [31]

Answer:

\large\boxed{\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\dfrac{\sqrt5}{x^2y}}

Step-by-step explanation:

\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\sqrt{\dfrac{55}{11}\cdot\dfrac{x^7}{x^{11}}\cdot\dfrac{y^6}{y^8}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=\sqrt{5x^{7-11}y^{6-8}}=\sqrt{5x^{-4}y^{-2}}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt5\cdot\sqrt{x^{-4}}\cdot\sqrt{y^{-2}}=\sqrt5\cdot\sqrt{x^{(-2)(2)}}\cdot\sqrt{y^{(-1)(2)}}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt5\cdot\sqrt{(x^{-2})^2}\cdot\sqrt{(y^{-1})^2}\qquad\text{use}\ \sqrt{a^2}=a

=\sqrt5\cdot x^{-2}\cdot y^{-1}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\to a^{-1}=\dfrac{1}{a}\\\\=\sqrt5\cdot\dfrac{1}{x^2}\cdot\dfrac{1}{y}=\dfrac{\sqrt5}{x^2y}

6 0
3 years ago
Estamate 12871+6281+5146 by first rounding each number to the nearest thousand.
Pie
12,871 rounded to nearest thousand = 13,000.

6281 rounded to nearest thousand = 6,000.

5146 rounded to nearest thousand = 5,000.

In total, 13,000 + 6,000 + 5,000 = 24,000.
4 0
3 years ago
The table shows the distance Allison drove on one day of her vacation. Is the relationship between the distance and the time a p
Anuta_ua [19.1K]

Answer:

we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

In our case, the table shows the distance Allison drove on one day of her vacation.

Time (h)              1         2        3          4        5

Distance (mi)       55    100     165     280    250

using the equation

k = y/x

susbtitute y = 55, x = 1

k = 55/1 = 55

substitute y = 100, x = 2

k = y/x

k = 100 / 2 = 50

substitute y = 165, x = 3

k = y/x

k = 165 / 3 = 55

substitute y = 280, x = 4

k = y/x

k = 280 / 4 = 70

substitute y = 250, x = 5

k = y/x

k = 250 / 5 = 50

It is clear that the value of 'k' does not remain constant.

Therefore, we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

6 0
3 years ago
Marris decides to bake his parents a cookie in the shape of a regular dodecagon (12‑gon) for their 12-day anniversary.
allochka39001 [22]

Answer:

The answer to each question is:

  • A.) 403.2 cm^{2}
  • B.) 100. 8 cm^{2}

Step-by-step explanation:

A.) To obtain the area of the dodecagon, you can use the next formula:

  • Area of a dodecagon = 6 * apothem * edge

In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:

  • Apothem = Edge * \frac{2+\sqrt{3}}{2}

If we replace the value of the edge, we obtain:

  • Apothem = 6 cm * \frac{2+\sqrt{3}}{2}
  • Apothem = 11.2 cm (approximately).

With this data, we can find the area:

  • Area of a dodecagon = 6 * apothem * edge
  • Area of a dodecagon = 6 * 11.2 cm * 6 cm
  • Area of a dodecagon = 403.2 cm^{2}

Then,<u> the area of the dodecagon is 403.2 </u>cm^{2}<u> approximately</u>.

B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.

If:

  • 12 pieces = 403.2 cm^{2}
  • 3 pieces = X

Then:

  • X = (3 * 403.2 cm^{2}) / 12
  • X = 1209.6 cm^{2} / 12
  • X = 100. 8 cm^{2}

In this form, <u>when the cookie has 3 pieces, its area is 100. 8 </u>cm^{2}<u> approximately</u>.

5 0
3 years ago
Translate 5 times a number decreased by 2 into algebraic equation.
iragen [17]

Hello from MrBillDoesMath!

Answer:             5n - 2  

where "n" is the number mentioned in the problem statement

Thank you,

MrB

3 0
3 years ago
Read 2 more answers
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