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kap26 [50]
2 years ago
5

Mary bought a dozen eggs at the shop she used third of dozer for breatest and quarter for breakfast. How many eggs are left?show

all your calculations.
​
Mathematics
1 answer:
sveta [45]2 years ago
4 0

When numbers are grouped in twelves, each group is referred to as a dozen.

<em>There are 5 eggs left</em>

The amount of egg she bought is:

\mathbf{Amount = 1\ dozen}

Third of a dozen for breatest, means:

\mathbf{Breatest = \frac4{12}}

Quarter for breakfast, means:

\mathbf{Breakfast = \frac1{4}}

So, the fraction of eggs left is:

\mathbf{Eggs = Amount - Breatest -Breakfast }

This gives:

\mathbf{Eggs = 1 - \frac{4}{12} - \frac{1}{4}}

Take LCM

\mathbf{Eggs = \frac{12 - 4 - 3}{12}}

\mathbf{Eggs = \frac{5}{12}\ dozen}

<em>1 dozen means 12.</em>

So, we have:

\mathbf{Eggs = \frac{5}{12} \times 12}

\mathbf{Eggs = 5}

Hence, she still has 5 eggs left

Read more about grouping of numbers at:

brainly.com/question/24231730

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The size of the angle QUP in the system formed by the <em>equilateral</em> triangle QUR, the <em>equilateral</em> triangle PUT and the square RUTS is equal to 150°.

<h3>How to determine a missing angle within a geometrical system</h3>

By Euclidean geometry we know that squares are quadrilaterals with four sides of <em>equal</em> length and four <em>right</em> angles and triangles are <em>equilateral</em> when its three sides have <em>equal</em> length and three angles with a measure of 60°. In addition, a complete revolution has a measure of 360°.

Finally, we must solve the following equation for the angle QUP:

<em>m∠QUR + m∠QUP + m∠PUT + m∠RUT =</em> 360

60 <em>+ m∠QUP +</em> 60 <em>+</em> 90 <em>= 360</em>

<em>m∠QUP +</em> 210 <em>=</em> 360

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The size of the angle QUP in the system formed by the <em>equilateral</em> triangle QUR, the <em>equilateral</em> triangle PUT and the square RUTS is equal to 150°. \blacksquare

To learn more on quadrilaterals, we kindly invite to check this verified question: brainly.com/question/13805601

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