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AlladinOne [14]
2 years ago
8

PLEASE HELP ASAP FOR 15 POINTS There are white, blue, and red boats in a marina. Two-thirds of the boats in the marina are white

, 4/ 7 of the remaining boats are blue, and the rest are red. If there are 15 red boats, how many boats are in the marina? 15 POINTS!
Mathematics
1 answer:
navik [9.2K]2 years ago
7 0

Answer:

white 2/3

blue: 4/7 * (1 - 2/3) = 4/21

red: 1 - 2/3 - 4/21 = 1/7

15 / (1/7) = 105 boats are in the marina.


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\bold{\text{Answer:  b.}\quad \dfrac{y^2}{100}+\dfrac{x^2}{49}=1}

<u>Step-by-step explanation:</u>

The ellipse is vertical so y has the biggest radius.

Major axis (y) = 20 so the y-radius is 20/2 = 10

Minor axis (x) = 14 so the x-radius is 14/2 = 7

The equation of an ellipse is:   \dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1   where

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Assume: (h, k) = (0, 0)

\dfrac{(x-0)^2}{7^2}+\dfrac{(y-0)^2}{10^2}=1\\\\\\\dfrac{x^2}{49}+\dfrac{y^2}{100}=1\\\\\\\longrightarrow \dfrac{y^2}{100}+\dfrac{x^2}{49}=1

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3y=6+5(-3)

2.) Solve 3y=6+5(-3)

Combine Like Term: 3y=6+-15

Combine Like Term Even More: 3y= -9

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^  ^

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