there were 170 people at the concert. If 85% of the seats were filled how many seats are in the auditorium

In comparing distances, Lynne lives closer to the playground than Jorge. This is determined by comparing the fractions representing their distances from the playground, with Lynne's being smaller.

In this situation, we need to compare the distances each person lives from the playground. Jorge lives 5/6 mile from the playground and Lynne lives 4/6 mile from the playground. Since a smaller fraction represents a smaller distance, we can say that Lynne lives closer to the playground than Jorge does.

To understand this better, consider fractions as a way to divide a whole into parts. The larger the denominator, the more parts the whole is divided into and the smaller each part is. But in this case, the denominators are the same (6), so we look at the numerators. The numerators tell us how many of these parts we have. Since 4 is smaller than 5, Lynne who lives 4/6 mile away lives closer than Jorge who lives 5/6 mile away.

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Ricardo incorrectly determined he needed 1/4 cup of olive oil for one loaf of bread. The correct amount is 1/6 cup when the 2/3 cup required for four loaves is divided by four.

Ricardo has a recipe for four loaves of bread that requires 2/3 cup of olive oil. To adjust the recipe to make one loaf, he needs to divide the amount of olive oil by four. If Ricardo shades two parts of a paper folded into three parts to represent 2/3, and then folds this paper into four parts and shades one of those, he is effectively calculating one fourth of 2/3. The calculation for the correct amount of olive oil for one loaf is as follows:

(2/3) × (1/4) = 2/12

= 1/6

So, the correct amount of olive oil needed for one loaf is 1/6 cup, not 1/4 cup, which means Ricardo's model does not give him the correct amount.

Answer:

I also got 43 using the same strategy as the first guy.

Step-by-step explanation:

90*-40*=43*

Final answer:

To find the per capita debt in 2005, divide the national debt of $10 trillion by the U.S. population of 100 million. The per capita debt comes out to be approximately $100,000 per person.

Explanation:

To calculate the per capita debt, we need to divide the national debt by the population of the U.S. The question states that the national debt at the end of 2005 was about $10 trillion, and the population was about 10 to the 8th power (100,000,000). To find the per capita debt, we perform the following calculation:

Per Capita Debt = Total National Debt / Population

= $10,000,000,000,000 / 100,000,000

= $100,000

Thus, the per capita debt was approximately $100,000 per person at the end of 2005.

The correct answer is [tex]L = \frac{5}{p}[/tex]

To write an equation that models the length (in yards) of each piece of yarn if Marcus cuts a 5-yard length into p pieces, we need to express the length of each piece as a function of the number of pieces (p).

Given information:

- The total length of yarn is 5 yards.

- Marcus needs to cut the yarn into p equal pieces.

Let L be the length of each piece of yarn in yards.

[tex]\text{Total length} = \text{Sum of the lengths of all pieces}[/tex]

[tex]5 = L \times p[/tex]

[tex]L = \frac{5}{p}[/tex]

Therefore, the equation that models the length (in yards) of each piece of yarn if Marcus cuts it into p pieces is:

[tex]L = \frac{5}{p}[/tex]

Answer:

The decimal point should be placed between the digits 7 and 6 because the product should be greater than 4 × 1 and less than 5 × 2.

Step-by-step explanation:

Answer: CO≅HZ

Step-by-step explanation:

The two chords are congrunt so the intercepted arcs are congruent  CO≅HZ

Since segment CO is congruent to segment HZ, a congruence statement that is true include the following: C. CO ≅ HZ.

In Mathematics and Euclidean Geometry, two geometric figures are considered to be congruent only when their corresponding side lengths are equal and the magnitude of their angles are congruent.

Since we know that rigid motions preserve both the side length and angle measure, this ultimately implies that congruent segments have the same (equal) length.

In this context, we can reasonably infer and logically deduce that arc CO is congruent with arc HZ because chord CO is congruent to chord HZ;

arc CO ≅ arc HZ (intercepted arcs).

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Answer: The mean hours the groups of teens spent studying is little bit greater for  15- to 16-year old teen or about same .

The range range for the two groups of of teens is greater for 13- to 14-year old teens.

Step-by-step explanation:

We know that the mean of a data is given by :-

[tex]\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}[/tex]

Range = largest observation - least observation

From the given table :

The mean hours spent by 13- to 14-year olds is given by :-

[tex]\text{Mean}=\dfrac{87}{10}=8.7[/tex]

[tex]\text{Range=12-2=10}[/tex]

The mean hours spent by 15- to 16-year olds is given by :-

[tex]\text{Mean}=\dfrac{89}{10}=8.9[/tex]

[tex]\text{Range=12-4=8}[/tex]

The mean hours the groups of teens spent studying is little bit greater for  15- to 16-year old teen or can say about same.

The range range for the two groups of of teens is greater for 13- to 14-year old teens.

67° and 23° are complementary angles.

67 + 23 = 90

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

here, we have,

67 degrees and 23 degrees

we know,

67 + 23 = 90

Hence, 67° and 23° are complementary angles.

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Answer:

20 million cubic feet every 1 mins

Step-by-step explanation:

180÷3=60

60÷3=20

Final answer:

To solve 7x6, visualize a table with 7 rows of 6 columns each. Multiplying these numbers means counting all the cells in this table, which equals 42, since 7 times 6 is 42.

Explanation:

To find the product of 7x6, imagine you have 7 rows of a chart and each row has 6 columns. This means you'll fill the chart with numbers so that there are six numbers in each of the seven rows. Multiplying 7 by 6 means you're essentially counting how many numbers you'll have if you filled all the rows and columns.

To find the result, you just need to do a simple multiplication of the two numbers (7 and 6).
Here's how it's done step-by-step:

Understand that 7x6 is the same as adding the number 6 together, 7 times.

6 + 6 + 6 + 6 + 6 + 6 + 6

When you add them up, you get 42.

Therefore, the product of 7x6 is 42, meaning if you had a table with 7 rows and 6 columns, it would contain 42 cells.

The area for carpeting a floor is the measurement of the surface that needs to be covered by carpet, while the perimeter refers to the total length around the edges of the floor.

The area for carpeting a floor is the measurement of the surface that needs to be covered by carpet. The perimeter, on the other hand, refers to the total length around the edges of the floor. The choice between calculating the area or perimeter for carpeting a floor depends on whether you need to determine how much carpet material is needed (area) or how much carpet edge is required (perimeter).

For example, if you want to calculate the area to determine the amount of carpet needed to cover the floor, you would measure the length and width of the floor and multiply them together. The resulting area would be in square units (such as square feet or square meters).

On the other hand, if you want to calculate the perimeter to determine how much carpet edge needs to be trimmed or finished, you would add up the lengths of all the sides of the floor. The resulting perimeter would be in linear units (such as feet or meters).

The locker is closer.

Final answer:

Sophie waits for Rana after finishing a biking trip of 20 miles, accounting for their different speeds. The answer is calculated based on the difference in distances covered by Sophie and Rana.

Explanation:
Sophie bikes at a speed of s miles per hour, and Rana bikes at a speed of r miles per hour. They went for a 20 miles trip each at their usual speeds. After Sophie finishes, Rana still has to cover a distance of 20 - 20*(r/s) miles. Therefore, the time Sophie waits for Rana is (20 - 20*(r/s))/s hours.