The remains of an ancient ball court in


Monte Alban, Mexico, include a rectangular playing


alley with a perimeter of about 60 m. The length of the


alley is five times the width. Find the length and the


width of the playing alley

The volume of the empty portion of Container B is given as follows:

34.6 ft³.

The volume of a cylinder of radius r and height h is given by the equation presented as follows:

V = πr²h.

(the radius is half the diameter).

Hence the volume of Container A is given as follows:

V = π x 7² x 13

V = 2001.2 ft³.

The volume of container B is given as follows:

V = π x 6² x 18

V = 2035.8 ft³.

Then the volume of the empty portion of Container B is given as follows:

2035.8 - 2001.2 = 34.6 ft³.

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Now we know that;tan x = Opposite/Adjacent side of the angle x tan x = Opposite/Adjacent sideTherefore, the Opposite side = tan x * Adjacent sideHere, we have only the value of tan x.

Thus, we need the value of any one side to find the other side value. But, we don't have the value of any of the sides. So, we will take an arbitrary value of one of the sides, suppose 1.We know that tan x = Opposite/Adjacent sideNow, we have Adjacent side = 1Therefore, tan x = Opposite/1Opposite side = tan xNow, Opposite side = 0.2962 (from the given equation)

Therefore, the measure of the angle can be found using the tangent ratio formula.tan x = Opposite/Adjacenttan x = 0.2962/1tan x = 16.92°Thus, the measure of the angle x to the nearest tenth of a degree is 16.9°.Therefore, the answer is, the measure of angle x is 16.9° to the nearest tenth of a degree.

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To calculate Elizabeth's finance charge using the previous balance method, we need to determine the average daily balance and then apply the APR (Annual Percentage Rate) to calculate the finance charge.

First, let's calculate the average daily balance:

Beginning Balance: $969.26

Days until payment: 2 (from July 1st to July 3rd)

Payment: $45.00

Days until purchase: 7 (from July 3rd to July 10th)

Purchase: $67.48

Days until payment: 2 (from July 10th to July 12th)

Payment: $20.00

Days until payment: 16 (from July 12th to July 28th)

Payment: $85.00

To calculate the average daily balance, we sum up the balances for each day and divide it by the total number of days in the billing cycle (30 days).

Average Daily Balance = (969.26 × 2 + 0 × 7 + 67.48 × 2 + 0 × 16) / 30 = $85.95

Next, we can calculate the finance charge using the APR:

Finance Charge = Average Daily Balance × (APR / 365) × Number of Days in the Billing Cycle

Finance Charge = 85.95 × (0.1461 / 365) × 30 ≈ $9.97

Therefore, Elizabeth's July finance charge will be approximately $9.97. The correct answer is option a.

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To determine the height of the pole, we can use the concept of similar triangles. The ratios of corresponding sides of similar triangles are equal.The height of the pole is 24 meters.

By setting up a proportion between the height of the pole and the length of its shadow and the height of the observer and the length of their shadow, we can find the height of the pole.

Let's denote the height of the pole as h. We can set up a proportion between the height of the pole and the length of its shadow and the height of the observer and the length of their shadow:

h / 16 = 1.80 / 1.20

By cross-multiplying and solving for h, we get:

h = (16 * 1.80) / 1.20 = 24

Therefore, the height of the pole is 24 meters.

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The slope of a line perpendicular to the line given by the equation 4x - 6y = -24 is -3/2.

To find the slope of a line perpendicular to the line given by the equation 4x - 6y = -24, we first need to put this equation in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Rearranging the given equation, we get:

4x - 6y = -24

-6y = -4x - 24

y = (2/3)x + 4

So the slope of the original line is m = 2/3.

For a line that is perpendicular to this line, the slope will be the negative reciprocal of the original slope. That is, if the original slope is m, then the slope of the perpendicular line will be -1/m.

So for the line given by the equation 4x - 6y = -24, the slope of a line perpendicular to it is:

-1/m = -1/(2/3) = -3/2

Therefore, the slope of a line perpendicular to the line given by the equation 4x - 6y = -24 is -3/2.

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To sum up, Edgar's behavior is an example of positive reinforcement as he has learned to associate finishing his work before going to bed with positive consequences.

Edgar's behavior is an example of a learning process known as operant conditioning. Operant conditioning is the concept that we learn to associate our behavior with its consequences, either positive or negative. We are motivated by rewards, such as praise, and punishments, such as criticism, that we experience as a result of our behavior.

In Edgar's case, his relief and ability to fall asleep after completing his research paper can be considered a reward. Thus, he has been conditioned to associate finishing his work before going to bed with positive consequences. This learning process is an example of positive reinforcement.

Positive reinforcement, in which a positive stimulus is used to encourage a desired behavior, is the most effective way to promote good behavior and discourage undesirable behavior. Positive reinforcement can take many forms, including praise, recognition, and tangible rewards.

By contrast, negative reinforcement, which involves removing an unpleasant stimulus, can also be used to encourage a desired behavior, but it is not as effective as positive reinforcement in the long term.

To sum up, Edgar's behavior is an example of positive reinforcement as he has learned to associate finishing his work before going to bed with positive consequences.

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Therefore, at the equilibrium point, the number of DVDs will be 510.71 and the price per DVD will be $18.85 (rounded to the nearest cent).

The equilibrium point is the point at which supply and demand are equal. At this point, the price and quantity demanded will be stable. When a commodity's unit price increases, demand decreases, while the manufacturer usually increases the supply. The point at which supply and demand are equal is known as the equilibrium point. The quantity demanded and the price per DVD can be calculated when supply equals demand.

When supply is equal to demand, we can equate both equations as:

S = Dwhere S is supply and D is demand.

S = -0.05P + 600 ... equation 1

D = 0.3P - 60 ... equation 2

We will now solve the above equations for P, which is the price per DVD.

S = D-0.05P + 600 = 0.3

P - 60-0.05P - 0.3

P = -60 - 600-0.35

P = -660

P = 660/0.35

= 1885.71 cents

= 18.85 dollars (rounded to the nearest cent)

Now that we know the price per DVD, we can calculate the quantity demanded by inserting P into one of the above equations. Using equation 1:

S = -0.05(1885.71) + 600S

= 510.71

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The cost of a 12-minute phone call is $4.20.

The cost of a nine-minute phone call is $3.15. To find the cost of a 12-minute phone call, we must first determine the cost per minute. We can do this by dividing the cost of a nine-minute call by 9 minutes, which gives us the cost per minute.

3.15 ÷ 9 = $0.35 (cost per minute) Now that we know the cost per minute, we can find the cost of a 12-minute phone call by multiplying the cost per minute by the number of minutes. 12 × $0.35 = $4.20 Therefore, the price of a 12-minute phone call is $4.20.

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The best approximation for the volume of a regulation baseball with a diameter of about 3 inches is 14 in³.

The volume of a sphere is given by the formula V = (4/3)πr³, where V represents the volume and r represents the radius. In this case, we have the diameter, which is 2 times the radius.

The radius of a baseball with a diameter of about 3 inches is approximately 3/2 = 1.5 inches.

Substituting the radius into the volume formula:

V = (4/3)π(1.5)³ = (4/3)(3.14)(1.5)³ = (4/3)(3.14)(3.375) ≈ 14 in³

Therefore, the best approximation for the volume of the baseball is 14 in³.

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The true statements are: - (x × y) × z = x × (y × z) and - (x – y) – z = x – (y – z)

Let's evaluate each statement:

1. X y = y x:

  This statement is generally not true for complex numbers. Multiplication of complex numbers is not commutative, so in most cases, X y is not equal to y x.

2. (x × y) × z = x × (y × z):

  This statement is true. The associative property holds for multiplication of complex numbers. The order of multiplication does not affect the final result.

3. x – y = y – x:

  This statement is generally not true for complex numbers. Subtraction of complex numbers is not commutative, so in most cases, x - y is not equal to y - x.

4. (x y) z = x (y z):

  This statement is true. The associative property holds for multiplication of complex numbers. The order of multiplication does not affect the final result.

5. (x – y) – z = x – (y – z):

  This statement is true. The associative property holds for subtraction of complex numbers. The order of subtraction does not affect the final result.

To summarize, the true statements are:

- (x × y) × z = x × (y × z)

- (x – y) – z = x – (y – z)

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To find the x-values that are solutions of the equation

[tex]x^3 + 5x^2 - x - 7 - (x^2 + 6x + 3)[/tex], we first need to simplify the equation and find the zeros.

By subtracting x^2 + 6x + 3 from both sides of the equation, we get:

[tex]x^3 + 5x^2 - x - 7 - (x^2 + 6x + 3) = 0[/tex]

[tex]x^3 + 5x^2 - x - 7 - x^2 - 6x - 3 = 0\\x^3 + 4x^2 - 7x - 10 = 0[/tex]

Now, to find the zeros of this polynomial, we set it equal to zero and factor it if possible:

[tex]x^3 + 4x^2 - 7x - 10 = 0[/tex]

By trying different values, we can find that x = -2 is a zero of the polynomial. Therefore, (x + 2) is a factor of the polynomial.

Using synthetic division or long division, we can divide the polynomial [tex]x^3 + 4x^2 - 7x - 10 = 0[/tex] by (x + 2):

[tex]| (x^3 + 4x^2 - 7x - 10) ÷ (x + 2) |= x^2 + 2x - 5[/tex]

Now, we can factor the quadratic equation x^2 + 2x - 5:

(x + 2)(x - 1) = 0

Setting each factor equal to zero and solving for x, we get:

x + 2 = 0 --> x = -2

x - 1 = 0 --> x = 1

Therefore, the x-values that are solutions to the equation x^3 + 5x^2 - x - 7 = x^2 + 6x + 3 are x = -2 and x = 1. The intersection points of the two polynomials occur at these x-values.

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The correct answer is that the event you described is dependent.

When Yolanda grabs 2 red checkers and replaces them between each draw, the outcome of the first draw affects the probability of the second draw. This is because replacing the checkers means that the probability of drawing a red checker remains the same for each individual draw, but the overall probability changes after each draw.

Let's break it down:

In the first draw, Yolanda has a certain probability of drawing a red checker.

After the first draw, if Yolanda indeed drew a red checker, there is one less red checker in the pool and the total number of checkers has decreased.

In the second draw, Yolanda now has a different probability of drawing a red checker compared to the first draw because the pool of available checkers has changed.

Therefore, the outcome of the first draw affects the probability of the second draw, making the event dependent.

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If y/z = 0.7, then α can be determined using the trigonometric ratio "tan".

Since y/z = 0.7, we can let y = 7x and z = 10x. Thus, y + z = 7x + 10x = 17x.Also, we have tan α = y/x = (7/10)x/x = 7/10.So, we have tan α = 7/10.Thus, α = tan⁻¹(7/10).

Now, we can use a calculator to evaluate the angle to the nearest degree.

Using a scientific calculator, we can compute tan⁻¹(7/10) ≈ 35.54°.

Hence, the measure of α to the nearest degree is 36° (since we round up to the nearest degree).

That α measures 36° to the nearest degree.

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Answer:

[tex]\sf z - \dfrac{3}{4}[/tex]

Step-by-step explanation:

      Subtract 3/4 from z.

             [tex]\sf z - \dfrac{3}{4}[/tex]

The wall area that needs to be painted, excluding the doorway, is 125 square feet.

The total area of the wall is obtained by multiplying its length and width:

Total area = 11 ft * 13 ft = 143 square feet.

The area of the doorway is given by multiplying its length and width:

Doorway area = 6 ft * 3 ft = 18 square feet.

To find the area of the wall that needs to be painted, we subtract the area of the doorway from the total area:

Painting area = Total area - Doorway area = 143 square feet - 18 square feet = 125 square feet.

Therefore, you will need 125 square feet of paint to cover the wall only.

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The difference between the fastest boy's time and the slowest boy's time can be found by comparing their respective times and calculating the difference.

To determine the fastest and slowest times among James, Gilbert, Matthew, and Simon, we examine their recorded times: 2/3, 11/12, 5/6, and 7/12.

To compare these fractions, we need to find a common denominator. In this case, the least common multiple of the denominators 3, 12, 6, and 12 is 12.

Converting the fractions to have a denominator of 12, we get:

James: 2/3 = 8/12

Gilbert: 11/12 (already in terms of 12)

Matthew: 5/6 = 10/12

Simon: 7/12 (already in terms of 12)

Now, we can clearly see that the fastest time is 8/12 (James) and the slowest time is 11/12 (Gilbert).

To find the difference between these two times, we subtract the slowest time from the fastest time:

8/12 - 11/12 = -3/12 = -1/4

Therefore, the difference between the fastest boy's time and the slowest boy's time is -1/4, or in other words, the fastest boy is 1/4 of a unit of time faster than the slowest boy.

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The area of the triangular park in square meters is given by (b * h) / 2, where "b" represents the base in meters and "h" represents the height in meters.

To find the area of the triangular park in square meters, we need the measurements of the triangular park in the scale drawing. Since the scale is 1 unit = 1 meter, the measurements in the scale drawing represent the actual measurements in meters.

To determine the area of the triangular park in square meters, we need the base and height of the triangle in meters.

Let's assume that in the scale drawing, the base of the triangular park is represented by a certain number of units, and the height is represented by another number of units.

If we denote the base of the triangular park as "b" units and the height as "h" units in the scale drawing, then the actual measurements in meters would also be "b" meters for the base and "h" meters for the height.

The formula for the area of a triangle is:

Area = (1/2) * base * height

Substituting the actual measurements in meters, we have:

Area = (1/2) * b meters * h meters

Area = (1/2) * b * h square meters

Area = (b * h) / 2 square meters

Therefore, the area of the triangular park in square meters is given by (b * h) / 2, where "b" represents the base in meters and "h" represents the height in meters.

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Using 17 + 5 - 8 + 9 - 2 = 21 and 2 + 9 - 8 + 17 - 5 = 15 as two number sentences, we can form the target number of 2.
1) 2C = BF
2) B - 3E = A
3) C - A = 2D
4) F - A + B = 47
5) 3E - B + 2A = 8

In the first statement, the variable C is multiplied by 2, and the result is equal to the product of variables B and F. In the second statement, the product of variables E and 3 is subtracted from B, and the result is equal to A.

In the third statement, the difference between variables C and A is equal to twice the value of variable D. In the fourth statement, the sum of variables F and B is subtracted from A, and the result is equal to 47.

In the fifth statement, twice the value of variable A is added to 3 times the value of variable E, and this sum is subtracted from the value of variable B, which gives 8.

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To find Randy's age now, we need to use the information provided about the ratio of Jeremy's age, Randy's age, and Kaden's age 10 years ago, as well as the sum of their present ages. By setting up equations based on the given information, we can solve for Randy's age now.

Let's assume that Jeremy's age 10 years ago was 4x, Randy's age was 3x, and Kaden's age was x. This satisfies the given ratio of 4:3:1.

Now, 10 years have passed, so we need to consider their present ages. Jeremy's present age would be 4x + 10, Randy's present age would be 3x + 10, and Kaden's present age would be x + 10.

The sum of their present ages is given as 102, so we can set up the equation:

(4x + 10) + (3x + 10) + (x + 10) = 102

Simplifying the equation, we have:

8x + 30 = 102

Subtracting 30 from both sides, we get:

8x = 72

Dividing both sides by 8, we find:

x = 9

Therefore, Randy's age now is 3x + 10, which is equal to 3(9) + 10 = 37 years.

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The approximate percent of the price increase is approximately 8.5%. To find the approximate percent of the price increase, we can use the following formula: Percent Increase = ((New Value - Old Value) / Old Value) * 100

To calculate the approximate percent of the price increase, we can follow these steps:

Determine the old value: In this case, the old value is the cost before the price increase, which is given as $240.0.

Determine the new value: The new value is the cost after the price increase, which is given as $260.40. Calculate the difference: Subtract the old value from the new value to find the increase in price. In this case, it is $260.40 - $240.0 = $20.40.

Calculate the percent increase: Divide the difference by the old value, then multiply by 100 to express it as a percentage. In this case, it is (20.40 / 240.0) * 100 ≈ 8.5%.

Therefore, the approximate percent of the price increase is approximately 8.5%. This means that the price increased by around 8.5% from its original value of $240.0 to the new value of $260.40.

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The vendor cannot purchase a fraction of a bushel, the vendor can afford to buy a maximum of 5 bushels of corn with the given amount of money.

To determine how many bushels of corn the vendor can afford to buy, we need to consider the cost of each bushel of corn and the fixed delivery fee. Here's how we can calculate it:

Subtract the fixed delivery fee from the total amount of money the vendor has:

$22.00 - $5.50 = $16.50

Divide the remaining amount of money by the cost per bushel of corn to find the maximum number of bushels the vendor can buy:

$16.50 ÷ $3.00 = 5.5 bushels

Since the vendor cannot purchase a fraction of a bushel, the vendor can afford to buy a maximum of 5 bushels of corn with the given amount of money.

Please note that in this calculation, we assumed that the vendor would spend all of the available money on purchasing corn, without considering any additional expenses or constraints.

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The average velocity of an airplane during its journey when it moves at a velocity of 200 km/hour for 45 minutes and changes its velocity to 240 km/hour for 35 minutes can be calculated as follows:The first step is to convert the time from minutes to hours.

We can do this by dividing the number of minutes by 60 (since there are 60 minutes in an hour).So, time taken to move at a velocity of 200 km/hr for 45 minutes = 45/60 = 0.75 hoursTime taken to move at a velocity of 240 km/hr for 35 minutes = 35/60 = 0.583 hoursNow we can find the total distance traveled by the airplane. We can do this by multiplying the velocity of the airplane with the time it traveled at that velocity.Distance traveled at 200 km/hr = 200 x 0.75 = 150 kmDistance traveled at 240 km/hr = 240 x 0.583 = 139.92 kmTotal distance traveled by the airplane = 150 + 139.92 = 289.92 km.

The average velocity of the airplane during its journey can now be found by dividing the total distance traveled by the total time taken to travel that distance. Total time taken = 0.75 + 0.583 = 1.333 hours Average velocity of the airplane = Total distance traveled.

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Let's assume the number of regular bouquets as "x" and the number of mini bouquets as "y".

According to the given information, each regular bouquet has 6 roses and 2 peonies, and each mini bouquet has 2 roses and 2 peonies.

Therefore, the total number of roses used in the regular bouquets would be 6x, and the total number of peonies used in the regular bouquets would be 2x.

Similarly, the total number of roses used in the mini bouquets would be 2y, and the total number of peonies used in the mini bouquets would be 2y.

We also know that the florist has a total of 60 peonies available.

So, the equation for the total number of peonies used in both types of bouquets would be:

2x + 2y = 60

Now, let's consider the total number of bouquets. The florist has a total of 100 bouquets.

So, the equation for the total number of bouquets would be:

x + y = 100

We have two equations:

2x + 2y = 60

x + y = 100

We can solve these equations to find the values of x and y, representing the number of regular and mini bouquets, respectively.

Using any suitable method for solving linear equations, we find that x = 30 and y = 70.

Therefore, the florist makes 30 regular bouquets and 70 mini bouquets.

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option B is the correct answer.

The perimeter of a rectangle is 22 cmLet the length of the rectangle be 'l' and the breadth be 'b'As per the question, the perimeter of the rectangle is given by;Perimeter = 2(l + b) => 2(l + b) = 22 => l + b = 11.As we know that the area of a rectangle is given by;Area = l × b

Therefore, the different areas of the rectangle are; l × b1 × (11 - 1) = 10 cm²2 × (11 - 2) = 18 cm²3 × (11 - 3) = 24 cm²4 × (11 - 4) = 28 cm²5 × (11 - 5) = 30 cm²6 × (11 - 6) = 30 cm²7 × (11 - 7) = 28 cm²8 × (11 - 8) = 24 cm²9 × (11 - 9) = 18 cm²10 × (11 - 10) = 10 cm²Hence, there are only 8 different areas of the rectangle i.e., 10 cm², 18 cm², 24 cm², 28 cm², 30 cm².

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La opción que interpreta correctamente la razón entre los lápices azules y rojos en la caja de 3:1 es la opción B: "Hay tres lápices azules y 1 rojo".

Cuando se dice que la razón entre los lápices azules y los rojos en la caja es de 3:1, significa que por cada grupo de tres lápices azules, hay un lápiz rojo.
La opción A indica que hay tres lápices rojos y 1 azul, lo cual es incorrecto ya que la razón especifica que hay más lápices azules que rojos. La opción C sugiere que hay el triple de lápices rojos que de lápices azules, lo cual también es incorrecto según la razón proporcionada. La opción D indica que hay el triple de lápices azules que de lápices rojos, lo cual es contrario a la razón establecida de 3:1.
Por lo tanto, la opción que interpreta correctamente la razón 3:1 es la opción B: "Hay tres lápices azules y 1 rojo".

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To reach a height of 10 feet while accounting for the ground elevation of 15⁰, the ladder needs to be set at an angle of approximately 80.77⁰.

When placing the ladder on the ground, we need to consider both the desired height and the ground elevation. Let's denote the angle at which the ladder needs to be set as x⁰.

To find the value of x⁰, we can use trigonometry. In this case, we'll use the tangent function. The tangent of an angle is equal to the ratio of the length of the opposite side to the length of the adjacent side. In this scenario, the opposite side is the height of the ladder (10 feet), and the adjacent side is the horizontal distance the ladder needs to cover on the ground.

The tangent of an angle is given by the formula: tan(x⁰) = opposite/adjacent.

To calculate the adjacent side, we can use the height of the ladder and the ground elevation angle: adjacent = height / tan(ground elevation).

Plugging in the values, we have: adjacent = 10 / tan(15⁰).

Solving this equation gives us the value of the adjacent side. We can then find x⁰ by taking the arctan of the ratio: x⁰ = arctan(adjacent/height).

Calculating this value, we find x⁰ ≈ 80.77⁰.

Therefore, the ladder needs to be set at an angle of approximately 80.77⁰ to reach a height of 10 feet, accounting for the ground elevation of 15⁰.

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The statement that is true about this comparison is that they differ in the thousandths place, with 0.739 being greater than 0.7380.

The statement that is true about the comparison

0.739 > 0.7380

is that they differ in the thousandths place. The difference between the two numbers is

0.001 or 1/1000,

which is why we can say that they differ in the thousandths place. This difference is very small, but it is enough to make

0.739 greater than 0.7380.

The comparison between

0.739 and 0.7380

is true in that the former is greater than the latter by a small margin. The two numbers differ in the thousandths place, with 0.739 having a value of

0.739 and 0.7380

having a value of 0.738.

The difference between the two values is

0.001 or 1/1000,

which is very small.

However, this difference is enough to make 0.739 greater than 0.7380.

Therefore, the statement that is true about this comparison is that they differ in the thousandths place, with

0.739 being greater than 0.7380.

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The range of the function is {-7, -3/2, -2, 2}.Hence, the correct option is the last option.

The range of the function is a set of all possible values of a function. It is the set of all output values of a function. In the given function, h(x) = 1/2x– 3 with a restricted domain of {-2,0, 2, 10}.Here is the solution;

As per the question, the given function is (x) = 1/2x– 3 with a restricted domain of {-2,0, 2, 10}.Now, let us find the range of the function; Let's find the value of the function at each of the domain points. x h(x)-2 h(-2) = -4-3 = -7 0 h(0) = -3/2 2 h(2) = -2 10 h(10) = 2

Therefore, the range of the function is {-7, -3/2, -2, 2}.Hence, the correct option is the last option.

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The correct simplified version of the expression 4(9-3/4x)+6x after distributing and combining like terms is: 33 - 6x. To understand the concept of distributing and combining like terms, let us first take a look at the original expression.

4(9-3/4x)+6xTo simplify this expression, we start by applying the distributive property of multiplication over addition. That is, we multiply the number outside the parentheses (4) by each term inside the parentheses. This gives us:36 - 3x + 6xNext, we combine like terms. Here, the like terms are -3x and 6x since they both have the variable x in them. When we combine them, we get 3x. Hence, we have:36 + 3xFinally, we simplify further by rearranging the terms in descending order of degree. This gives us the final expression:3x + 36However, this is not one of the answer options provided in the question.

Therefore, we need to simplify it further. We can do this by taking out a common factor of 3 from the two terms. This gives us:3(x + 12)We can check that this is the correct answer by distributing the 3 back in and confirming that we get the original expression. Therefore, the correct simplified version of the expression after distributing and combining like terms is: 33 - 6x.

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b is 10 times bigger than c. the ratio A:b is equivalent to the ratio a:c multiplied by 5: A:b = (a:c) * 5

To determine how many times b is bigger than c, we need to compare their respective ratios.

Given:

A:b = 1:5

a:c = 2:1

To make a comparison, we can find the relative sizes of b and c by considering the ratios they have with other variables.

From the ratio A:b = 1:5, we can rewrite it as A:b = 2:10 (multiplying both sides by 2).

Comparing the ratios A:b and a:c, we can see that the ratio A:b is equivalent to the ratio a:c multiplied by 5:

A:b = (a:c) * 5

Substituting the given ratios, we have:

2:10 = (2:1) * 5

Now, we can compare the values of b and c directly:

b = 10

c = 1

Therefore, b is 10 times bigger than c.

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