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2 years ago

A recipe requires 2 eggs for every 5 dozen cookies. At this rate, how many eggs are required for 30 dozen

Mathematics

2 answers:

exis [7]2 years ago

7 0

Answer:

Step-by-step explanation:

Theres 6 5's in 30. ( 5,10,15,20,25 and 30.)

There is 2 eggs in every 5 dozen cookies, ( 5d, 2, 10d, 4, 15d, 6, 20d, 8, 25d, 10, 30d, 12.) The d means dozen by the way...

I am so sorry if you use this and get it wrong!! I am not good at math!! And i am sorry, this is probably confusing >-<

Lina20 [59]2 years ago

5 0

6 eggs (i think)

5x12=60 cookies require 2 eggs
30x12=360
360 divided by 60= 6

so six eggs

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The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°

GenaCL600 [577]

The measure of angle ABC is 45°

Explanation

Vertices of the triangle are: A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) $=\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5$

Length of the side AC (b) $= \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}$

Length of the side AB (c) $= \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}$

We need to find ∠ABC or ∠B . So using Cosine rule, we will get...

$cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree$

So, the measure of angle ABC is 45°

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3 years ago

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Morgarella [4.7K]

Answer:

Answer will be $e^{12}$

Step-by-step explanation:

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2 years ago

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3 years ago

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So, he runs 1.5 then adds 0.5 every day,
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A recipe requires 2 eggs for every 5 dozen cookies. At this rate, how many eggs are required for 30 dozen​

A recipe requires 2 eggs for every 5 dozen cookies. At this rate, how many eggs are required for 30 dozen