Questions: Diedre and Ulanda have 29 songs in their repertoire. If the Spring Fling Music Festival asks them to sing 6 of those songs, what percentage of the songs from their repertoire will they perform? Round the answer to the nearest whole percentage. (Simplify your answer completely.) There are 16 common ways in which eggs can be prepared (e.g., scrambled, over easy, sunny side up). If the Breakfast Booth restaurant prepares eggs in 13 of those ways, what percentage of the common ways does the restaurant cook eggs? Round the answer to the nearest tenth. (Simplify your answer completely.) Kenneth did 1/4 of his laundry on Sunday and 5/12 of his laundry on Monday. What fraction of laundry did Kenneth do in total? (Simplify your answer completely.)

Diedre and Ulanda have 29 songs in their repertoire. If the Spring Fling Music Festival asks them to sing 6 of those songs, what percentage of the songs from their repertoire will they perform? Round the answer to the nearest whole percentage. (Simplify your answer completely.)
There are 16 common ways in which eggs can be prepared (e.g., scrambled, over easy, sunny side up). If the Breakfast Booth restaurant prepares eggs in 13 of those ways, what percentage of the common ways does the restaurant cook eggs? Round the answer to the nearest tenth. (Simplify your answer completely.)
Kenneth did 1/4 of his laundry on Sunday and 5/12 of his laundry on Monday. What fraction of laundry did Kenneth do in total? (Simplify your answer completely.)
Transcript text: Diedre and Ulanda have 29 songs in their repertoire. If the Spring Fling Music Festival asks them to sing 6 of those songs, what percentage of the songs from their repertoire will they perform? Round the answer to the nearest whole percentage. (Simplify your answer completely.) There are 16 common ways in which eggs can be prepared (e.g., scrambled, over easy, sunny side up). If the Breakfast Booth restaurant prepares eggs in 13 of those ways, what percentage of the common ways does the restaurant cook eggs? Round the answer to the nearest tenth. (Simplify your answer completely.) Kenneth did $\frac{1}{4}$ of his laundry on Sunday and $\frac{5}{12}$ of his laundry on Monday. What fraction of laundry did Kenneth do in total? (Simplify your answer completely.)
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Solution

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Solution Steps

Solution Approach
  1. To find the percentage of songs Diedre and Ulanda will perform, divide the number of songs they will sing by the total number of songs in their repertoire and then multiply by 100. Round the result to the nearest whole percentage.
Step 1: Calculate the percentage of songs performed by Diedre and Ulanda

Diedre and Ulanda have a total of 29 songs in their repertoire. They are asked to sing 6 of those songs. To find the percentage of songs they will perform, we use the formula for percentage:

\[ \text{Percentage} = \left( \frac{\text{Number of songs performed}}{\text{Total number of songs}} \right) \times 100 \]

Substituting the given values:

\[ \text{Percentage} = \left( \frac{6}{29} \right) \times 100 \]

Calculating the fraction:

\[ \frac{6}{29} \approx 0.2069 \]

Multiplying by 100 to get the percentage:

\[ 0.2069 \times 100 \approx 20.69 \]

Rounding to the nearest whole percentage:

\[ \approx 21\% \]

Final Answer

\(\boxed{21\%}\)

Step 2: Calculate the percentage of ways the restaurant prepares eggs

There are 16 common ways to prepare eggs, and the Breakfast Booth restaurant prepares eggs in 13 of those ways. To find the percentage, we use the same formula for percentage:

\[ \text{Percentage} = \left( \frac{\text{Number of ways the restaurant prepares eggs}}{\text{Total number of common ways}} \right) \times 100 \]

Substituting the given values:

\[ \text{Percentage} = \left( \frac{13}{16} \right) \times 100 \]

Calculating the fraction:

\[ \frac{13}{16} = 0.8125 \]

Multiplying by 100 to get the percentage:

\[ 0.8125 \times 100 = 81.25 \]

Rounding to the nearest tenth:

\[ \approx 81.3\% \]

Final Answer

\(\boxed{81.3\%}\)

Step 3: Calculate the total fraction of laundry Kenneth did

Kenneth did \(\frac{1}{4}\) of his laundry on Sunday and \(\frac{5}{12}\) of his laundry on Monday. To find the total fraction of laundry he did, we need to add these two fractions. First, we find a common denominator for the fractions:

The least common multiple (LCM) of 4 and 12 is 12. Converting the fractions:

\[ \frac{1}{4} = \frac{3}{12} \]

Now, adding the fractions:

\[ \frac{3}{12} + \frac{5}{12} = \frac{3 + 5}{12} = \frac{8}{12} \]

Simplifying the fraction:

\[ \frac{8}{12} = \frac{2}{3} \]

Final Answer

\(\boxed{\frac{2}{3}}\)

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