You and your siblings decided to make 10 pies for a bake sale. There were 8 slices in each apple pie and 10 slices in each shoo-fly pie. At the sale, there were 84 slices available. How many of each pie were made?

4 apple and 6 shoo-fly

2 apple and 8 shoo-fly

6 apple and 4 shoo-fly

8 apple and 2 shoo-fly

According to given information, option C is the correct answer.

Given that Darrel divided 8,675 by 87.

His work is shown below.

Step 1: Set up the problem with the dividend under the division symbol and the divisor outside.

Step 2: Estimate a reasonable quotient and place it above the dividend. Then multiply and subtract. Bring down the next digit of the dividend.

Step 3: Repeat step 2 until the dividend has been brought down completely.

The given picture shows the steps done:

Option C: Darrel forgot to place a zero in the quotient.

Thus option C is the correct answer.

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After reducing the price by 12%, the price of the car would be $2,376. To find the price of the car after a 12% reduction, we can calculate 12% of the original price and subtract it from the original price.  

To find the price of the car after the 12% reduction, we need to calculate 12% of $2,700 and subtract that amount from the original price. First, we find 12% of $2,700 by multiplying 0.12 (12% expressed as a decimal) by $2,700:

12% of $2,700 = 0.12 * $2,700 = $324

Next, we subtract $324 from the original price of $2,700:

$2,700 - $324 = $2,376

Therefore, after the 12% reduction, the price of the car would be $2,376. This reduction reflects a decrease in price from the original value, providing potential buyers with a discounted price for the car.

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The inequality that represents the given sentence is: n - 5 ≥ 32.

In this inequality, "n" represents the number in question. The phrase "the difference of number n and 5" indicates that we are subtracting 5 from n. The phrase "is at least 32" implies that the result of the subtraction must be greater than or equal to 32. Therefore, we write the inequality as n - 5 ≥ 32.

To explain this further, if we want to find a value for n that satisfies the given condition, we need to find a number that, when 5 is subtracted from it, gives us a result of at least 32. By adding 5 to both sides of the inequality, we can rewrite it as n ≥ 37, which means n must be greater than or equal to 37 for the difference between n and 5 to be at least 32.

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The polygon described in this scenario is a regular pentagon. In the given diagram, the vertices of the pentagon are labeled as P, Q, R, S, and T. The line segment PR is drawn within the pentagon, and it is mentioned that the angle QPR and QRP both measure 20 degrees.

A line segment PR is drawn within the polygon, and the measure of both angles QPR and QRP is 20 degrees. Based on this information, we can determine that the polygon in question is a regular pentagon.

A regular polygon is defined as a polygon where all sides have the same length and all angles have the same measure. In the case of a regular pentagon, it specifically has five sides and five angles. The given information confirms that the angles QPR and QRP both measure 20 degrees, satisfying the criteria for a regular polygon.

By identifying the polygon as a regular pentagon, we can understand its fundamental properties, such as equal side lengths and equal angles. The name "regular" emphasizes the uniformity of the polygon's sides and angles, while "pentagon" specifies that it consists of five sides.

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Joshua spent an amount determined by the prices of mixed nuts, chocolate candies, and granola to make the trail mix.

The exact cost cannot be determined without the price per pound of each ingredient.

To calculate how much Joshua spent to make the trail mix, we need to know the price per pound of each ingredient: mixed nuts, chocolate candies, and granola. Without this information, we cannot provide an exact answer.

However, we can provide a general approach to calculate the cost if we have the price per pound for each ingredient. Let's assume the price per pound of mixed nuts is $x, the price per pound of chocolate candies is $y, and the price per pound of granola is $z.

To determine the cost of each ingredient, we multiply the weight in pounds by the respective price per pound. For mixed nuts, Joshua bought 1/5 pound, so the cost of mixed nuts would be (1/5) * x. For chocolate candies, he bought 1/2 pound, so the cost of chocolate candies would be (1/2) * y. Lastly, for granola, he bought 1 1/4 pounds, so the cost of granola would be (1 1/4) * z.

To find the total cost, we add the costs of all three ingredients: (1/5) * x + (1/2) * y + (1 1/4) * z.

Without the specific prices per pound, we cannot provide a numerical answer, but you can calculate the total cost using the given weights and the corresponding prices per pound.

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The equation is 38.25 = 4.25h and Tomás worked for 9 hours.

To find the number of hours it took Tomás to clean the garage, we can set up an equation using the given information.

Let's assume the number of hours Tomás worked is "h."

We know that Tomás was paid $4.25 per hour, so the total amount he earned can be calculated by multiplying the hourly rate by the number of hours worked:

Total earnings = Hourly rate * Number of hours

In this case, the total earnings are $38.25, and the hourly rate is $4.25:

$38.25 = $4.25 * h

To solve for "h," we need to isolate the variable on one side of the equation. We can do this by dividing both sides of the equation by $4.25:

$38.25 / $4.25 = h

Simplifying the right side:

9 = h

Therefore, it took Tomás 9 hours to clean the garage.

By setting up the equation and solving it, we determined that Tomás worked for 9 hours.

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The combined water filtration capacity of filters A and B in Smalltown is 349.55 gallons per minute. Over a period of 70 minutes, these filters can filter approximately 24,467.5 gallons of water, ensuring a clean water supply for the town's residents.

Filter A can filter 179.85 gallons per minute, and filter B can filter 169.7 gallons per minute. To determine the combined filtration capacity, we add the individual capacities of the filters: 179.85 + 169.7 = 349.55 gallons per minute.

Next, we calculate the total amount of water filtered over 70 minutes by multiplying the combined filtration capacity by the duration: 349.55 gallons/minute * 70 minutes = 24,467.5 gallons. Therefore, over the course of 70 minutes, filters A and B can filter approximately 24,467.5 gallons of water, providing a significant volume of clean drinking water for the residents of Smalltown.

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The mean for the first set of numbers is 4. The mean for the second set of numbers is 4. The mean for the third set of numbers is 5. The mean for the fourth set of numbers is 4.11.

To calculate the mean, we sum up all the numbers in the set and divide the sum by the total count of numbers.

For the first set of numbers (5, 5, 5, 4, 4, 2, 2), the sum is 27. There are 7 numbers in the set, so the mean is 27/7 = 4.

For the second set of numbers (7, 5, 1, 2, 8, 3, 3), the sum is 29. There are 7 numbers in the set, so the mean is 29/7 = 4.

For the third set of numbers (8, 4, 2, 8, 7), the sum is 29. There are 5 numbers in the set, so the mean is 29/5 = 5.

For the fourth set of numbers (3, 3, 7, 6, 3, 3, 3, 5, 4), the sum is 37. There are 9 numbers in the set, so the mean is 37/9 = 4.11 (rounded to two decimal places).

Therefore, the mean for the respective sets of numbers are 4, 4, 5, and 4.11.

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Jorge, Martin, and Andres bought a big piece of cheese in an offer, and they divided it equally.

Jorge gave his sister half of the cheese he got, so what part of the whole cheese did Jorge's sister receive?

To begin with, let us find out how many people shared the big piece of cheese. Three people divided the cheese into equal parts.Then they shared it. We are not sure how much cheese there was in the first place,

so let us call the total amount of cheese T.Since it was divided equally among three people, each person got T/3 cheese.Then Jorge gave his sister half of the cheese he got.So, his sister received 1/2 of T/6 or T/12 cheese.

Therefore, the sister of Jorge received T/12 of the entire cheese.

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The area of a rhombus can be determined by multiplying the length of the base by the altitude. We can utilize the formula to figure out the area of the rhombus whose side is 8 m and altitude is 5 m. The area of the rhombus is 20 square meters.

Formula to find the area of a rhombus The area of a rhombus (A) is equal to half the product of its diagonal (d1 and d2). Mathematically, it can be represented as follows: A = ½ × d1 × d2Since a rhombus is a special case of a kite, we can calculate its area using the following equation: A = (½) × (base) × (height)In this particular problem, the length of the base (one of the sides of the rhombus) is 8 meters, and the altitude (the height) is 5 meters.

So, the area of the rhombus is: A = (½) × (base) × (height)A = (½) × (8 meters) × (5 meters)A = 20 square meters Therefore, the area of the rhombus is 20 square meters. Formula to find the area of a rhombus The area of a rhombus (A) is equal to half the product of its diagonal (d1 and d2). Mathematically, it can be represented as follows: A = ½ × d1 × d2Since a rhombus is a special case of a kite, we can calculate its area using the following equation: A = (½) × (base) × (height)In this particular problem, the length of the base (one of the sides of the rhombus) is 8 meters, and the altitude (the height) is 5 meters.

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The sum or difference of expression(-7x²- 3) + (11x² + 8) is 4x² + 5.

To find the sum or difference of the given expressions, (-7x²- 3) + (11x² + 8)

Simply by combine like terms.

(-7x²- 3) + (11x² + 8) can be rewritten as:

-7x² + 11xx² + (-3 + 8)

Simplifying further, we have:

4x² + 5

So, the sum or difference of (-7x²- 3) + (11x² + 8) is 4x² + 5.

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The annual population growth rate per thousand animals in this scenario is 130.

In the given population of 1000 alligators, the birthrate is 400 per year. This means that 400 new alligators are born each year. However, there are also factors that decrease the population. Each year, 150 alligators die and 150 leave the population to search for new territory. On the other hand, 30 alligators arrive from other territories to join the population.

To calculate the annual population growth rate per thousand animals, we can subtract the total number of deaths and departures (150 + 150) from the total number of births and arrivals (400 + 30). This gives us a net increase of 130 alligators.

To calculate the growth rate per thousand animals, we divide the net increase (130) by the initial population size (1000) and multiply the result by 1000. This gives us a growth rate of 130/1000 * 1000 = 130.

Therefore, the annual population growth rate per thousand animals in this scenario is 130.

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The total number of miles driven to and from school in 6 days would be 30 miles.

Since the round-trip drive to school is 2 1/2 miles, we can consider this as a distance traveled in one day. To find the total distance driven in 6 days, we need to multiply the distance traveled per day by the number of days.

Given that the round-trip distance is 2 1/2 miles, we can convert this mixed fraction to an improper fraction: 2 1/2 = 5/2 miles.

Multiplying the distance per day (5/2 miles) by the number of days (6 days) gives us:

(5/2) * 6 = (5 * 6)/2 = 30/2 = 15 miles.

Therefore, the total distance driven to and from school in 6 days is 15 miles.

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Answer: To solve the linear system using determinants, we can write the system of equations in matrix form:

| 2 3 | | x | | 6 |

| -8 -3 | | y | = | 12 |

The determinant of the coefficient matrix is calculated as follows:

D = | 2 3 |

| -8 -3 |

The determinant of a 2x2 matrix is calculated by taking the product of the main diagonal elements and subtracting the product of the off-diagonal elements:

D = (2 * -3) - (3 * -8)

D = -6 + 24

D = 18

Now, we will find the determinant of the x matrix, which is obtained by replacing the x column in the coefficient matrix with the constants:

Dx = | 6 3 |

| 12 -3 |

Dx = (6 * -3) - (3 * 12)

Dx = -18 - 36

Dx = -54

Next, we find the determinant of the y matrix, which is obtained by replacing the y column in the coefficient matrix with the constants:

Dy = | 2 6 |

| -8 12 |

Dy = (2 * 12) - (6 * -8)

Dy = 24 + 48

Dy = 72

Finally, we can solve for x and y using the determinants:

x = Dx / D

x = -54 / 18

x = -3

y = Dy / D

y = 72 / 18

y = 4

Therefore, the solution to the given linear system is x = -3 and y = 4.

The area or amount of cloth that will be required to make the sail of the boat is 50.5 square feet (approx.).

Given that the boom of a sailboat is 26 feet long and the sail is an equilateral triangle. We have to determine the amount of cloth that will be required to make the sail of the boat.

The formula to calculate the area of an equilateral triangle is:

A = (√(3)/4)*a²,

where

A represents the area of the equilateral triangle

a represents the side of the equilateral triangle.

Here, the sail is an equilateral triangle.

Therefore, the length of each side of the sailboat is given as:

Length of each side of the sailboat = 26 feet / 3

                                                          = 8.67 feet or 8 feet (approximately)

We can calculate the area of the sail using the below formula;

A = (√(3)/4)×a²,

where,

A represents the area of the equilateral triangle

a represents the length of each side of the sailboat.

By substituting the value of a = 8.67 in the above equation, we get the area of the sail as follows:

A = (√(3)/4)×a²

A = (√(3)/4)*(8.67)²

A = 50.5 square feet (approx.)

Hence, the amount of cloth that will be required to make the sail of the boat is 50.5 square feet (approx.).

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The rational number that falls between 1/13 and 2/13 is 3/13 by using average method

To find a rational number between two fractions, we can use the average method.

To find the average of two fractions a/b and c/d, we add them up and then divide them by 2.

The question is asking what rational number falls between 1/13 and 2/13.

The average of these fractions can be calculated by adding them and dividing them by 2:

1/13 + 2/13 = 3/13 Now, to check whether 3/13 is between 1/13 and 2/13, we can compare the three fractions:

1/13 < 3/13 < 2/13 Therefore, the rational number that falls between 1/13 and 2/13 is 3/13.

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There's no specific diagram or context mentioned in your question. Thus, I'm giving a general answer to the question. Please provide more information for a specific answer.

The Pythagorean theorem is a fundamental geometric principle that relates the lengths of the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

So, the given question asks us to find the missing side lengths.

Since we don't have any further information on the given question, let's assume that the given triangle is a right triangle. Let the two given sides of a right triangle be a and b, and the missing side be c.

According to the Pythagorean theorem,

[tex]`a^2 + b^2 = c^2`[/tex]

Thus, [tex]`c = \sqrt(a^2 + b^2)`[/tex]

Here, `sqrt()` is used to represent the square root function. Therefore, we have to take the square root of `a² + b²` to find the length of the missing side.

Answer: [tex]`c = \sqrt(a^2 + b^2)`[/tex]

Leave your answers as radicals in the simplest form.

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They can sell 50 or more T-shirts and 10 or more key chains to meet or exceed their goal.Inequality;10x + 2y ≥ 500.

In mathematics, an inequality is a mathematical statement that describes a relationship between two expressions, indicating that one expression is greater than, less than, or not equal to the other expression. Inequalities are used to compare quantities or values and express their relative magnitudes.

Let x be the number of T-shirts sold and y be the number of key chains sold to meet or exceed the $500 goal.

The total amount of money raised by selling x T-shirts is 10x.

The total amount of money raised by selling y key chains is 2y.The inequality representing the situation is given by;10x + 2y ≥ 500To solve the above inequality for x, we can assume different values of y and then determine the corresponding values of x.

For example;

Let's assume y = 0,10x + 2(0) ≥ 50010x ≥ 500x ≥ 50

The smallest integer x such that x ≥ 50 is x = 50.

To get another point on the line, we can assume y:

= 10,10x + 2(10) ≥ 50010x + 20 ≥ 50010x ≥ 500 - 2010x ≥ 480x ≥ 48

The smallest integer x such that x ≥ 48 is x = 48. Since we want to meet or exceed the goal, the number of T-shirts that the science club can sell is 50 or more while the number of key chains they can sell is 10 or more.

Therefore, the answer to the question is that they can sell 50 or more T-shirts and 10 or more key chains to meet or exceed their goal.Inequality;10x + 2y ≥ 500

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A retailer sells wooden toy chests for $45 that were acquired at a cost of $30. The percentage markup of a product is the amount of profit above its cost.

Markup percentage can be calculated using the following formula:

Markup Percentage = (Markup / Cost) × 100

Therefore, to calculate the percentage markup for the wooden toy chests, we can use the given information as follows:

Cost of one wooden toy chest = $30Selling price of one wooden to y, chest = $45,

Markup = Selling price - Cost price

= $45 - $30

= $15

Now we can use the markup percentage formula to calculate the percentage markup:

Markup Percentage = (Markup / Cost) × 100

= (15 / 30) × 100

= 50%

Therefore, the percentage markup for the wooden toy chests is 50%.

A wooden toy chest is being sold by a retailer at $45, and the cost incurred in acquiring it is $30. Percentage markup is the amount of profit above the cost, expressed as a percentage of the cost.

Thus, the markup percentage is computed using the formula Markup Percentage = (Markup / Cost) × 100.

Here, the cost of one wooden toy chest is $30, and the selling price of one wooden toy chest is $45, so the markup is $15.

The markup percentage, in this case, is 50% (Markup Percentage = (15 / 30) × 100).

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The mean for Mai's data is 8.9167.

To find the mean of the data given by Mai for the past 12 school days, we need to add all the values together and then divide by the total number of values.

Here is the solution: Given data are: 9, 12, 6, 9, 10, 7, 6, 12, 9, 8, 10, 10

To find: The mean for Mai's data

To calculate the mean, we will add up all the values and then divide by the total number of values.

Mean (average) = sum of values / total number of values

Sum of values = 9 + 12 + 6 + 9 + 10 + 7 + 6 + 12 + 9 + 8 + 10 + 10= 107

Total number of values = 12

Therefore, Mean (average) = sum of values / total number of values

= 107 / 12

= 8.9167 (rounded to four decimal places)

Hence, the mean for Mai's data is 8.9167.

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none of the provided approximations for the probabilities are accurate.To determine which statement is true, we need to calculate the probabilities of selecting each color marker.

Total number of markers = 20 green + 44 orange + 30 blue = 94 markers.

P(blue) = Number of blue markers / Total number of markers = 30 / 94 ≈ 0.319.

P(green) = Number of green markers / Total number of markers = 20 / 94 ≈ 0.213.

P(orange) = Number of orange markers / Total number of markers = 44 / 94 ≈ 0.468.

Based on the calculations, none of the given statements are true. The actual probabilities are approximately:

P(blue) ≈ 0.319,
P(green) ≈ 0.213,
P(orange) ≈ 0.468.

Therefore, none of the provided approximations for the probabilities are accurate.

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The expression that can be used to determine the total distance in miles Natalie jogged over these 3 nights is:

The model for finding the total distanceNatalie went on a jog 3 nights in a row and jogged the same distance each night.

The model for finding the total distance that Natalie jogged during the 3 nights is shown below:

Model for finding the total distance where each column represents one mile, and the shaded parts of each column represent the fraction of a mile that Natalie jogged each night.

From the model, we can find the total distance in miles Natalie jogged by counting the number of shaded parts in each column and then adding them together.

The number of shaded parts in each column represents the fraction of a mile that Natalie jogged each night.

Therefore, the expression that can be used to determine the total distance in miles Natalie jogged over these 3 nights is:

[tex]$$3 \cdot 1 + \frac{1}{2} + \frac{3}{4}$$ $$= 3 + \frac{2}{4} + \frac{3}{4}$$$$= 3 + \frac{5}{4}$$$$= \frac{12}{4} + \frac{5}{4}$$$$= \frac{17}{4}$$$$= \boxed{4\frac{1}{4}}\ miles$$[/tex]

Therefore, Natalie jogged a total distance of 4 and 1/4 miles over these three nights.

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Acceptance sampling is a statistical procedure that involves taking a sample of a product or a lot of products and determining if it meets the required standards or specifications.

One method of acceptance sampling involves randomly selecting a sample of items without replacement and accepting the entire batch only if every item in the sample is okay.The ABC Electronics Company has just manufactured 1200 write-rewrite CDs, out of which 90 are defective. The question is asking about the probability that the entire batch will be accepted if 3 of these CDs are randomly selected for testing.We know that out of 1200 CDs, 90 are defective.

Therefore, the number of good CDs is:1200 - 90 = 1110If 3 CDs are randomly selected, the probability of getting a good CD on the first try is:1110/1200 = 37/40The probability of getting a good CD on the second try is:1109/1199The probability of getting a good CD on the third try is:1108/1198The probability of getting all three CDs that are good is:37/40 * 1109/1199 * 1108/1198 = 0.7978Therefore, the probability that the entire batch will be accepted is 0.7978 or approximately 79.78%.

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The predicate Q(x, y) states that if x is less than y, then x^2 is less than y^2. In part (a), Q(x, y) is false when x = -2 and y = 1 because -2 is less than 1, but (-2)^2 is not less than 1^2.

In part (b), other values that make Q(x, y) false include x = 0 and y = -1, as well as x = 2 and y = 2. In part (c), Q(x, y) is true when x = 3 and y = 8 because 3 is less than 8, and 3^2 is less than 8^2. In part (d), other values that make Q(x, y) true include x = -1 and y = 0, as well as x = -2 and y = -2.

a) In Q(x, y), when x = -2 and y = 1, the statement "If x < y then x^2 < y^2" is false. Although -2 is indeed less than 1, (-2)^2 = 4 is not less than 1^2 = 1.

b) To find values where Q(x, y) is false, we can look for instances where x < y but x^2 is not less than y^2. For example, when x = 0 and y = -1, x < y holds, but (0)^2 = 0 is not less than (-1)^2 = 1. Similarly, when x = 2 and y = 2, x < y is true, but (2)^2 = 4 is not less than (2)^2 = 4.

c) When x = 3 and y = 8, Q(x, y) is true. Since 3 is less than 8, it satisfies the condition x < y, and (3)^2 = 9 is indeed less than (8)^2 = 64.

d) To find values where Q(x, y) is true, we can look for instances where x < y and x^2 < y^2. For example, when x = -1 and y = 0, x < y holds, and (-1)^2 = 1 is less than (0)^2 = 0. Similarly, when x = -2 and y = -2, x < y is true, and (-2)^2 = 4 is less than (-2)^2 = 4.

These examples demonstrate how the truth value of the predicate Q(x, y) depends on the specific values of x and y, and their relationship in terms of magnitude and their respective squares.

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The three parts are: x = 24, y = 8, and z = 32. The first part is three times the second, and the third part is equal to the sum of the first and second.

Let's assume the three parts are x, y, and z.

According to the given conditions:

1) The first part is triple the second:

x = 3y

2) The third part is equal to the sum of the first and second:

z = x + y

We are also given that the sum of the three parts is 96:

x + y + z = 96

Now we can solve the equations simultaneously to find the values of x, y, and z.

Substituting the value of x from the first equation into the third equation:

(3y) + y + (3y + y) = 96

Simplifying the equation:

8y + 4y = 96

12y = 96

Dividing both sides by 12:

y = 96 / 12

y = 8

Now that we have the value of y, we can substitute it back into the first equation to find x:

x = 3y = 3(8) = 24

Lastly, substitute the values of x and y into the second equation to find z:

z = x + y = 24 + 8 = 32

Therefore, the three parts are:

x = 24

y = 8

z = 32

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Hence, the correct option is B) 11.1.

Given that Suzy had been working for 15 minutes when she finished problem 5 and she completed all 20 questions in 45 minutes.To find what fraction of the questions Suzy had finished when she finished problem 5; we need to subtract the time taken to finish problem 5 from total time and divide it by total time and the multiply it by 20. The answer can be rounded off to the nearest tenth if necessary.

Fraction of questions completed by Suzy = [(45-15)/45] × 20= 0.556 × 20= 11.12

As we see that Suzy had completed 11.12 questions when she finished the fifth problem.

Therefore, rounding it to the nearest tenth, the decimal form of the answer is 11.1.

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When the difference between means is a greater multiple of the MAD (Mean Absolute Deviation), the dot plot tends to show less visual overlap between the data sets.

The MAD is a measure of the spread or variability of a data set. It represents the average distance between each data point and the mean. A larger MAD indicates a larger spread of data points.

When the difference between the means of two data sets is a greater multiple of the MAD, it implies that the means are further apart relative to the spread of the data. This suggests that the data sets are more distinct from each other and have less overlap.

In a dot plot, each data point is represented by a dot along a number line. When the means are further apart relative to the spread of the data, the dots tend to be more separated, indicating less overlap between the two data sets.

On the other hand, if the means are closer together relative to the spread of the data (i.e., the difference between means is a smaller multiple of the MAD), the dot plot would show more visual overlap between the data sets, as the dots would be closer to each other along the number line.

Therefore, when the difference between means is a greater multiple of the MAD, the dot plot generally shows less visual overlap between the data sets.

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To find the slope of the trend line in a scatterplot, we need to use the formula for slope, which is: Slope = (Change in y)/(Change in x).

The expression that can be simplified to find the slope of the trend line in the scatterplot is the formula for slope. Therefore, the expression that can be simplified to find the slope of the trend line in the scatterplot is:Slope = (Change in y)/(Change in x).

Here, "y" represents the dependent variable, and "x" represents the independent variable in the scatterplot. The slope of the trend line shows how steep the line is.

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1/6 is the fraction of Marjorie's ribbons that are green. Marjorie has a total of 6 ribbons and spools of thread for art, consisting of 3 pink ribbons, 1 green ribbon, and 2 blue spools of thread.

1. To determine the fraction of Marjorie's ribbons that are green, we divide the number of green ribbons by the total number of ribbons.

2. To find the fraction of Marjorie's ribbons that are green, we need to calculate the ratio of green ribbons to the total number of ribbons. The total number of ribbons is the sum of all the ribbons and spools of thread, which is 3 pink ribbons + 1 green ribbon + 2 blue spools of thread, equaling 6 ribbons in total.

3. Since Marjorie has only 1 green ribbon, we can say that the fraction of her ribbons that are green is 1 out of the total 6 ribbons. This can be expressed as 1/6. Therefore, 1/6 is the fraction of Marjorie's ribbons that are green.

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The third term of the sequence is 11.

The sequence given by the rule

f(1) = 5

and

f(n) = f(n-1) + 3, for n bigger than 1.

The third term of the sequence can be calculated using the given formula of the sequence.

We are given that

f(1) = 5, which means that the first term of the sequence is 5.

We can find the second term of the sequence using the formula.

f(n) = f(n-1) + 3

Now n = 2

    f(2)  = f(2-1) + 3

           = f(1) + 3

           = 5 + 3

            = 8

Therefore, the second term of the sequence is 8.

Using the same formula we can find the third term of the sequence

f(n) = f(n-1) + 3

Now n = 3

f(3) = f(3-1) + 3

     = f(2) + 3

     = 8 + 3

      = 11

Therefore, the third term of the sequence is 11. Hence, the correct answer is 11.

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