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3 years ago

7

The difference of the squares of two positive consecutive even integers is 84. Find the integers. Use the fact that, if x repre

sents an even integer, then xplus2 represents the next consecutive even integer.

1 answer:

Art [367]3 years ago

7 0

Has gawd though of the letter a

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What is 0.003 as a percent.

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Nanci needs at least $140 for her vacation this summer. She already has $25 and she is selling homemade bracelets for $3.00 each

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2 years ago

Kermit's favorite iced tea is made with 151515 tea bags in every 222 liters of water. Peggy made a 121212-liter batch of iced te

muminat

Answer:

The answer is (Choice C) It is just right.

Step-by-step explanation:

<u><em>The question is incomplete, so the complete question is below:</em></u>

Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90 tea bags. What will Kermit think of Peggy's iced tea? Choose 1 answer: (Choice A) It is too strong. (Choice B) It is too weak. (Choice C) It is just right.

Now, to find which of the choice is correct.

So, we find first the unit rate of Peggy's iced tea bags per liter:

If, Peggy made a 12-liter batch of iced tea with 90 tea bags.

Then, Peggy would made a 1-liter batch of iced tea with = $\frac{90}{12} =7.5\ tea\ bags.$

Now, to get the unit rate of Kermit's iced tea bags per liter:

If, Kermit made a 2 liter of iced tea with 15 tea bags.

Then, Kermit would made a 2 liter of iced tea with = $\frac{15}{2} =7.5\ tea\ bags.$

<u><em>Thus, the quantity of tea bags per liter is same of both Kermit and Peggy.</em></u>

<u><em>Hence, Kermit will think of Peggy's iced tea that </em></u><u><em>it is just right</em></u><u><em>.</em></u>

Therefore, the answer is (Choice C) It is just right.

6 0

3 years ago

A person gets on a Ferris wheel at the starting point. The starting point is 15 feet off the ground. The Ferris wheel has a radi

lisov135 [29]

<h2>Answer:</h2>

$\boxed{\frac{25}{2}(\sqrt{6}+\sqrt{2})+65}$

<h2>Explanation:</h2>

<em>The height of the rider from the ground after the Ferris wheel</em> equals <em>the starting point is 15 feet off the ground </em><em>plus </em><em>the radius of the Ferris wheel </em><em>plus </em><em>the opposite side of the triangle ΔABC </em>(See figure below).<em> </em>Hence our goal is to find this side. We have the angle $11\pi /2=165^{\circ}$ , therefore the angle ∠BAC = 165° - 90° = 75°. So this side can be found using trigonometry:

$\overline{BC}=\overline{AB}sin(75^{\circ})=50sin(75^{\circ})=\frac{25}{2}(\sqrt{6}+\sqrt{2})$

Finally, the height is:

$H=\frac{25}{2}(\sqrt{6}+\sqrt{2})+15+50 \\ \\ \boxed{H=\frac{25}{2}(\sqrt{6}+\sqrt{2})+65}$

6 0

3 years ago