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how many quarters in a roll - Londonproperty

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 Divide both sides by 5 to find \( y \):

📌 y = \frac{45}{5} = 9

📌 Therefore, the second vent releases \(\boxed{9}\) methane bubbles.

📌 A palynologist discovers that the ratio of pollen grains from conifer trees to those from deciduous trees in a sample is \( 7:4 \). If there are 28 conifer pollen grains, how many deciduous pollen grains are there?

📌 Let the number of deciduous pollen grains be \( z \). According to the problem, the ratio of conifer to deciduous pollen grains is \( 7:4 \), and there are 28 conifer pollen grains. We set up the proportion:

📌 \frac{28}{z} = \frac{7}{4}

📌 Cross-multiply to solve for \( z \):

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r = \frac{5\sqrt{2}}{2}
C = 2\pi r = 2\pi \left(\frac{5\sqrt{2}}{2}\right) = 5\pi\sqrt{2}
Thus, the circumference of the circle is:
\boxed{5\pi\sqrt{2}}
Given a triangle with sides \(7 \, \text{cm}\), \(24 \, \text{cm}\), a...
The triangle is a right triangle (since \(7^2 + 24^2 = 25^2\)). The ar...
A = \frac{1}{2} \times 7 \times 24 = 84 \, \text{cm}^2
The altitude to the hypotenuse \(c = 25\) is:
h_c = \frac{2A}{c} = \frac{168}{25} = 6.72 \, \text{cm}
The altitude to side \(a = 7\)

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