There are some red counters and some blue counters in a bag. The ratio of red counters to blue counters is 5:1. 2 counters are removed at random.

The probability that both the counters talen are red is 22/35.

Vic's strike rate after ten balls is 27.Vic's strike rate in cricket is given by the number of runs scored divided by the number of balls faced multiplied by 100.

Given that Vic has scored 27 runs in his first ten balls, we need to find his strike rate (SR).To find the strike rate, we use the formula:(number of runs scored / number of balls faced) x 100Substituting the given values, we get:(27/10) × 100 = 270/10 = 27

Vic's strike rate after ten balls is 27.

The strike rate (SR) of a batsman in cricket is calculated as the number of runs he scores (or can score) per hundred balls. The formula to find the strike rate of a batsman is given by the number of runs scored divided by the number of balls faced multiplied by 100.Given that Vic has scored 27 runs in his first ten balls, we need to find his strike rate (SR).To find the strike rate, we use the formula:(number of runs scored / number of balls faced) x 100Substituting the given values, we get:(27/10) × 100 = 270/10 = 27

Vic's strike rate after ten balls is 27.

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The system of equations representing the ticket sales situation is 10s + 10c = 170 and 5s + 9c = 109.

Let's represent the number of senior citizen tickets sold on the first day as 's' and the number of child tickets as 'c'. On the first day, the school sold 10 senior citizen tickets and 10 child tickets, which resulted in a total revenue of $170. This can be expressed as the equation 10s + 10c = 170.

On the second day, the school sold 5 senior citizen tickets and 9 child tickets, resulting in a total revenue of $109. This can be represented as the equation 5s + 9c = 109.

Therefore, the system of equations that represents this ticket sales situation is:
10s + 10c = 170
5s + 9c = 109

These equations can be used to solve for the values of 's' and 'c', representing the number of senior citizen and child tickets sold respectively, in order to determine the ticket prices and sales quantities.

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The volume of the trailer is 97 1/4 cubic feet. The calculation is based on multiplying the height, width, and length of the trailer.

To calculate the volume of the trailer, we multiply the three dimensions: height, width, and length.

The height of the trailer is given as 12 feet, the width is 5 1/2 feet, and the length is 15 1/2 feet. To multiply these measurements, we convert the mixed fractions into improper fractions. The width can be expressed as 11/2 feet, and the length as 31/2 feet.

Now, we multiply the three dimensions:

12 feet × 11/2 feet × 31/2 feet = (12 × 11 × 31) / (2 × 2 × 2) = 4074 / 8 = 509 1/4 cubic feet.

Therefore, the volume of the trailer is 509 1/4 cubic feet.

However, since the answer choices provided are not in mixed fraction format, we convert 509 1/4 to an improper fraction, which is 2049/4. The nearest answer choice is 97 1/4 cubic feet (97.25 in decimal form), which accurately represents the volume of the trailer. Thus, the correct answer is A. 97 1/4.

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The Selective Service Act played a significant role in providing the military personnel needed during times of war and has been revised and utilized in subsequent conflicts in the United States.

The Selective Service Act, also known as the Selective Draft Act, was enacted in the United States in 1917 during World War I. It established a system for the conscription or compulsory military service of young men into the armed forces. The specific provisions of the Selective Service Act included:

1. Registration: All men between the ages of 21 and 30 were required to register for potential military service.

2. Draft Boards: Local draft boards were established to oversee the selection and induction of individuals into the military.

3. Exemptions: The Act allowed for certain exemptions from military service based on factors such as physical or mental disabilities, essential occupations, and religious objections.

4. Conscientious Objectors: Provisions were made for individuals with religious or moral objections to war to perform alternative service deemed beneficial to the country.

5. Penalties: Failure to register or comply with the Act's provisions could result in penalties, including fines or imprisonment.

The Selective Service Act played a significant role in providing the military personnel needed during times of war and has been revised and utilized in subsequent conflicts in the United States.

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The set of equations that would have infinitely many solutions is[tex]y = 3x + 7[/tex]and [tex]y = 3x + 7[/tex].

These equations represent two parallel lines with the same slope (3) and the same y-intercept (7). Since the lines are parallel, they will never intersect and thus have infinitely many solutions.

In other words, any point on one line will satisfy both equations simultaneously. This means that for any value of x, the corresponding y value on both lines will be the same.

The equations[tex]y = 3x + 7[/tex] and [tex]y = 3x + 7 \\[/tex]represent the same line, so any point on that line is a solution to the system of equations. Therefore, there are infinitely many solutions.

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Ahmed's investment would be worth approximately $1,902.36 at the end of 6 years, compounded quarterly.To calculate the investment worth at the end of 6 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = Final amount (investment worth)

P = Principal amount (initial investment)

r = Annual interest rate (as a decimal)

n = Number of times interest is compounded per year

t = Number of years

In this case, Ahmed invested $1,500 at an interest rate of 4% (0.04 as a decimal), compounded quarterly (n = 4), for 6 years (t = 6).

Using the formula, we can calculate the investment worth:

A = 1500(1 + 0.04/4)^(4*6)

A = 1500(1 + 0.01)^24

A = 1500(1.01)^24

A ≈ 1500(1.268242)

A ≈ $1,902.36

Therefore, Ahmed's investment would be worth approximately $1,902.36 at the end of 6 years, compounded quarterly.

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The temperature in degrees Celsius, when the thermometer reads 28 R, is approximately -257.59 °C.

To convert the temperature from degrees Rankine (R) to degrees Celsius (°C), we can use the formula:

°C = (°R - 491.67) × 5/9

Given that the temperature reading on the thermometer is 28 R, we can substitute this value into the formula to find the temperature in degrees Celsius:

°C = (28 - 491.67) × 5/9

Simplifying the calculation:

°C ≈ (-463.67) × 5/9

°C ≈ -257.59

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To find the distance between City A and City C, we need to calculate the midpoint between the coordinates of City A and City B.

Given:

City A: (3, 8)

City B: (-3, 20)

To find the midpoint between City A and City B, we can use the midpoint formula:

Midpoint = [(x1 + x2) / 2, (y1 + y2) / 2]

Applying the formula:

Midpoint = [(3 + (-3)) / 2, (8 + 20) / 2]

Midpoint = [0 / 2, 28 / 2]

Midpoint = [0, 14]

So, the coordinates of City C are (0, 14).

Now, to calculate the distance between City A and City C, we can use the distance formula:

Distance = √[(x2 - x1)^2 + (y2 - y1)^2]

Applying the formula:

Distance = √[(0 - 3)^2 + (14 - 8)^2]

Distance = √[(-3)^2 + 6^2]

Distance = √[9 + 36]

Distance = √45

Distance ≈ 6.71 (rounded to two decimal places)

Therefore, the distance between City A and City C is approximately 6.71 units.

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The length of the garden could be 12 feet, and the width could be 9 feet, or vice versa, in order to achieve an area of 108 square feet.

Let's represent the length of the garden as 'L' and the width as 'W'. The area of a rectangle is given by the formula A = L * W. In this case, the area is 108 square feet. Therefore, we have the equation:

L * W = 108.

To find the length and width of the garden, we need to determine the factors of 108 that could represent its dimensions. The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 108.

By examining these factors, we look for pairs of values that multiply to 108. For example, L = 12 and W = 9 would satisfy the equation L * W = 108. Similarly, L = 9 and W = 12 would also work.

Therefore, the length of the garden could be 12 feet and the width could be 9 feet, or vice versa. Both combinations result in an area of 108 square feet, fulfilling the given conditions.

In conclusion, the length of the garden could be 12 feet, and the width could be 9 feet, or vice versa, in order to achieve an area of 108 square feet.

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The answer is parallel.The slope of the two lines is the same, i.e., -3. Hence, both lines are parallel to each other. Therefore, the answer is parallel.

First of all, we have to find the equation of each line, given the point-slope form:

Slope of the line passing through (-2, 2) with a slope of -3:

Since the slope of the line is -3 and it passes through (-2, 2), the equation is:

y - 2 = -3(x + 2) ⇒ y - 2 = -3x - 6 ⇒ y = -3x - 4

The equation of the first line is y = -3x - 4.

Slope of the line passing through (2, -2) with a slope of -3:

Since the slope of the line is -3 and it passes through (2, -2), the equation is:

y - (-2) = -3(x - 2) ⇒ y + 2 = -3x + 6 ⇒ y = -3x + 4

The equation of the second line is y = -3x + 4.

Now, let's analyze the slopes of both lines. The slope of the two lines is the same, i.e., -3. Hence, both lines are parallel to each other. Therefore, the answer is parallel.

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Bridget is planting a pepper garden and she has space to plant four rows. She decides to plant 1/2 of a row of each type of pepper. We need to find how many different types of peppers she is going to plant.

To find the solution to this problem, we first need to determine the total number of rows Bridget will plant. Bridget has space to plant four rows and she is planting 1/2 of a row of each type of pepper. So, the total number of rows she is going to plant = 4 * 1/2= 2 rows. Next, we need to find how many different types of peppers Bridget is going to plant. As she is planting 1/2 of a row of each type of pepper, we can assume that each type of pepper occupies 1/2 of a row. So, the total number of different types of peppers she is going to plant = Total number of rows / Number of rows occupied by one type of pepper= 2 / 1/2 = 2 * 2/1= 4Thus, Bridget is going to plant four different types of peppers.

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The line plot is also known as a dot plot.

The given information can be organized as follows:3 students sold 5 candles2 more students sold 6 candles than those who sold 5 candles3 students sold 8 candles1 student sold 12 candles Remaining students sold 9 candles.To create a line plot of candles sold, they will mark an X on the number line for each student's number of candles sold. The number line should go from 0 to the largest number of candles sold. The largest number of candles sold in this case is 12.The number of students selling the same number of candles is used to determine the height of each X mark. For example, 3 students sold 5 candles, so their mark should be placed at the number 5 on the number line with the height of the mark as 3.

A good scale for their line plot is to count by ones (1). This is because the highest number of candles sold is 12, and counting by ones will make it easy to mark an X on the number line for each student's number of candles sold.

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Given that18 pieces of rope measuring 2/5m each were cut from an 8m long rope. The remaining length of rope was cut into shorter pieces of length 1/5m each.

Now, we are to find out how many pieces of 1/5m long rope were obtained?Solution:Total length of the rope = 8 mThe length of each rope cut from it = 2/5 mNumber of pieces = 18Total length of rope cut off = (18 × 2/5) m = 7.2 mLength of rope left = (8 - 7.2) m = 0.8 mThis remaining length of the rope is now cut into pieces of 1/5 m each.

So, number of pieces obtained = (0.8)/(1/5)= (0.8 × 5) /1= 4 piecesHence, 4 pieces of 1/5m long rope were obtained. Number of pieces = 18Total length of rope cut off = (18 × 2/5) m = 7.2 mLength of rope left = (8 - 7.2) m = 0.8 mThis remaining length of the rope is now cut into pieces of 1/5 m each.

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To find the distance between the library and the firehouse in Adams, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the library and the firehouse form the two sides of a right triangle, with the school being the right angle. The distance between the library and the school is 16 kilometers (south) and the distance between the firehouse and the school is 12 kilometers (west).

Using the Pythagorean theorem, we can calculate the distance between the library and the firehouse:

[tex]Distance^2 = (Library-School Distance)^2 + (School-Firehouse Distance)^2[/tex]

[tex]Distance^2 = 16^2 + 12^2[/tex]

[tex]Distance^2 = 256 + 144[/tex]

[tex]Distance^2 = 400[/tex]

Taking the square root of both sides, we find:

Distance = √400

Distance = 20 kilometers

Therefore, the distance between the library and the firehouse in Adams is 20 kilometers.

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The difference between the highest and lowest temperatures in the data set. In this case, the highest temperature is 9.5°C and the lowest temperature is -5.4°C. The range of temperatures for the first 10 days in January is 15.9°C.

To calculate the range, we need to find the difference between the highest and lowest temperatures in the data set. In this case, the highest temperature is 9.5°C and the lowest temperature is -5.4°C.

The range is obtained by subtracting the lowest temperature from the highest temperature: 9.5 - (-5.4) = 9.5 + 5.4 = 15.9.

Therefore, the range of temperatures for the first 10 days in January is 15.9°C. The range represents the span of temperatures in the data set, indicating the variability or spread of the temperatures during that period.

In this case, the range tells us that the temperatures ranged from -5.4°C to 9.5°C, with a difference of 15.9°C between the highest and lowest recorded temperatures.

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The value of x is 27.

We are given the following information:

If PQR ~ UTV, find the value of x.

From the diagram, we can see that:

PQR ~ UTV means that the corresponding angles are equal, and the corresponding sides are proportional.

We can set up the following proportion:

UT/PR = TV/PQUT/(x + 3) = TV/12

Now, lets solve for x.

We can do this by cross multiplying:

TV * (x + 3) = 12 * UT

Substituting TV = 24 and UT = 18x + 54 = 216x = 162

Therefore, the value of x is 162/6 = 27.

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The difference between the radii of the two pastry stamps represents the thickness of the donut. In this case, the thickness would be (1.5 - 0.5) inches, which is 1 inch.

Petra's method of using pastry stamps with different radii to create donuts with specific thickness and distinct ring shape. A radius of 1.5 inches for outer circle, another with radius of 0.5 inches for donut hole.

Petra is using two different pastry stamps to make donuts, one with a radius of 1.5 inches for the outer circle and another with a radius of 0.5 inches for the donut hole.

Outer Circle: The pastry stamp with a radius of 1.5 inches is used to stamp out the outer circle of the donut. The outer circle represents the main body of the donut.

Donut Hole: The pastry stamp with a radius of 0.5 inches is used to stamp out the donut hole in the center of the donut. The donut hole is the circular space left in the middle of the donut.

Difference: The difference between the radii of the two pastry stamps represents the thickness of the donut. In this case, the thickness would be (1.5 - 0.5) inches, which is 1 inch.

Overall Shape: The combination of the outer circle and the donut hole creates the characteristic ring shape of a donut, with the thickness determined by the difference in radii.

Therefore, Petra's method of using pastry stamps with different radii allows her to create donuts with a specific thickness and a distinct ring shape.

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Answer:

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The rate of typing is 32 words per minute.

For m minutes Hal can type 32m words.

If he types 640 words, we can set this as equation:

By solving we get:

The amount of work that would be done by pumping water up to the top edge of the can would be 784.14 ft-lbs.

The work done to pump water depends on both the weight of the water and the distance it's moved. The weight of the water is its volume times its density, and the density of water is about 62.4 lbs/ft³.

To find the total work, we add up (integrate) the work done on each piece of water, from the top of the water (x=1 ft) to the bottom of the water (x=3 ft):

W = ∫ (from x = 1 to x = 3) of 62. 4π xdx = 62.4π x [1/2x²] (from x=1 to x=3)

= 62.4π x (1/23² - 1/21²)

= 62.4π x (1/2*9 - 1/2)

= 62.4π x (4.5 - 0.5)

= 62.4π x 4

= 249.6π ft-lbs

= 784.14 ft-lbs

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The customer plans to order a large or medium 1-topping pizza without pepperoni (P). From the given options, six outcomes in the sample space represent the types of pizza the customer may order.

The customer has three size options: small (S), medium (M), and large (L). However, they specifically exclude pepperoni (P) as a topping choice. To determine the valid outcomes, we need to consider the size and topping combinations.
The customer may order a small pizza with any of the three toppings other than pepperoni, resulting in the following outcomes: Small - SG (small with green peppers), Small - SH (small with ham), and Small - SO (small with olives).
For medium pizzas, the customer can choose from the same three toppings (excluding pepperoni). Therefore, the valid outcomes for medium pizzas are: Medium - MG (medium with green peppers), Medium - MH (medium with ham), and Medium - MO (medium with olives).
Lastly, for large pizzas, the customer can select any of the three toppings (excluding pepperoni). Thus, the valid outcomes for large pizzas are: Large - LG (large with green peppers), Large - LH (large with ham), and Large - LO (large with olives).
In summary, the customer can order the following types of pizza: Small - SG, Small - SH, Small - SO, Medium - MG, Medium - MH, Medium - MO, Large - LG, Large - LH, and Large - LO.

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Given that a construction manager weighs a pallet that has 9 identical bricks and a 7-pound concrete block on it. The pallet weighs 25 pounds.

Let the weight of each brick be 'x'. As per the question, the weight of the pallet along with 9 identical bricks and a 7-pound concrete block is 25 pounds.

Therefore, the total weight of the pallet with 9 bricks and a 7-pound concrete block is: P = Weight of the pallet + (Weight of 9 bricks) + (Weight of the concrete block) P = Weight of the pallet + (9 × x) + 7P = 25

On substituting the given values,

we have 25 = Weight of the pallet + (9 × x) + 7⇒ Weight of the pallet = 25 - 9x - 7⇒ Weight of the pallet = 18 - 9x

On the other hand, we know that Weight of the pallet = (Weight of the pallet) + (Weight of the 9 bricks).

Weight of the pallet = 18 - 9x Weight of the 9 bricks = 9x

Therefore, Weight of the pallet + Weight of the 9 bricks = 25⇒ (18 - 9x) + 9x

= 25⇒ 18 - x

= 25⇒ -x

= 25 - 18 ⇒ -x

= 7⇒ x =

-7/-1⇒ x = 7

Hence, each brick weighs 7 pounds.

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Percentage of belt wearers who wear watch or not = 65% & 34% respectively.

Percentage of non belt wearers, wearing watch or not = 60% & 40% respectively.

Given,

Accessory choices of 143 people,

Now in tabular manner,

Absolute Frequency Table :

         Watch          No Watch    Total

Belt         62                    32              94

No Belt   29                   20              49

Total        91                    52              143

Relative Frequency Table

           Watch                   No Watch            Total

Belt         62/94 = 0.66      32/94 = 0.34             94

No Belt  29/49 = 0.60      20/49 = 0.40            49

Total       91/143 = 0.63      52/143 = 0.36          143

Hence,

Percentage of belt wearers who wear watch or not = 65% & 34% respectively.

Percentage of non belt wearers, wearing watch or not = 60% & 40% respectively.

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To find the explicit formula for the number of minutes Jade runs after n weeks, we can use the information given: each run in the first week is 90 minutes long, and she increases the time by 10% each week.

Let's denote the number of minutes she runs after n weeks as 'Mn'.

In the first week, Mn = 90 minutes.

For the subsequent weeks, each week's running time is 10% more than the previous week's running time.

So, we can express the explicit formula as:Mn = Mn-1 + (10/100) * Mn-1

Simplifying the expression:

Mn = Mn-1 + 0.1 * Mn-1

Mn = 1.1 * Mn-1

Therefore, the explicit formula for the number of minutes Jade runs after n weeks is:

[tex]Mn = 1.1^(n-1) * 90[/tex]

This formula represents the number of minutes she runs after n weeks, with the initial run in the first week being 90 minutes and each subsequent week increasing by 10%.

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The degree of the polynomial p(x) is 10. This is determined by identifying the highest power of x among the terms in the polynomial.

To find the degree of the polynomial p(x), we look for the highest power of x among the terms. In this case, the term with the highest power of x is 13x^10. The degree of this term is 10, which means the polynomial p(x) has a degree of 10.

The degree of a polynomial corresponds to the highest exponent of the variable in the polynomial expression. In this polynomial, the term with the highest power is x^10, and no other terms have a higher power of x. Therefore, the degree of p(x) is 10.

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Answer:

Step-by-step explanation:

When comparing the two functions f(x) = 25x^2 and g(x) = 60(5)^x, we can analyze their properties and behavior.

Growth rate: The function g(x) = 60(5)^x grows exponentially, meaning it increases rapidly as x increases. On the other hand, the function f(x) = 25x^2 grows at a quadratic rate, which is slower than exponential growth. x-intercept: The function f(x) = 25x^2 has an x-intercept at x = 0, indicating that the graph passes through the origin. The function g(x) = 60(5)^x, being an exponential function, does not have an x-intercept. Symmetry: The function f(x) = 25x^2 is symmetric about the y-axis, while the function g(x) = 60(5)^x does not exhibit any symmetry.

In summary, the functions f(x) = 25x^2 and g(x) = 60(5)^x have different growth rates, x-intercepts, and symmetry properties. Function g(x) grows exponentially, while function f(x) has a quadratic growth pattern.

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The value least likely to be the mean of the population from which the samples were taken is 18.4.

In order to determine which value is least likely to be the mean of the population, we need to analyze the sample means provided. The sample means are 16.8, 12.3, 19.0, 17.5, 18.2, and 17.5.

To assess which value is least likely to be the population mean, we can consider the concept of sampling variability. Sampling variability refers to the natural variation in sample means that arises when different samples are taken from the same population. The larger the sampling variability, the more likely it is for the sample means to differ from the population mean.

Looking at the sample means provided, we can observe that the values 16.8, 12.3, 17.5, and 17.5 are relatively close to each other. On the other hand, the values 19.0 and 18.2 are farther away from the rest of the sample means. This suggests that they are less likely to represent the population mean accurately due to their deviation from the majority of the sample means.

Therefore, the value 18.4, which is not included in the original set of sample means, is the least likely to be the mean of the population from which the samples were taken.

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The relationship between the chirp rate of a cricket and the temperature is not a straightforward linear relationship that can be used to directly calculate the temperature difference. However, based on certain observations and studies, there is a rough correlation between the chirp rate of a cricket and the temperature.

According to the commonly referenced "Dolbear's Law," the relationship between the temperature in Fahrenheit (T) and the chirp rate in chirps per minute (N) can be approximated by the equation:

T = N / 4 + 40

This equation suggests that for every increase of 4 chirps per minute, the temperature increases by approximately 1 degree Fahrenheit. However, this relationship is not universally applicable, and other factors such as cricket species, humidity, and other environmental conditions can affect the accuracy of this approximation.

Given that the two chirp rates differ by 1.5 chirps per second, we would need to convert this difference into chirps per minute to estimate the temperature difference using Dolbear's Law. Since there are 60 seconds in a minute, the difference in chirps per minute would be:

1.5 chirps/second * 60 seconds/minute = 90 chirps/minute

Based on Dolbear's Law, if the chirp rate increased by 90 chirps per minute, the temperature would increase by approximately:

90 chirps/minute / 4 chirps/degree Fahrenheit ≈ 22.5 degrees Fahrenheit

Therefore, if the chirp rate of the cricket increased by 1.5 chirps per second, the estimated temperature difference would be around 22.5 degrees Fahrenheit. However, please note that this is an approximation based on an empirical relationship and may not be accurate in all situations.

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To evaluate (6.7 * 10⁻¹⁶) - (8.2 * 10⁻¹⁷), Celia should Subtract the numbers to get the difference.

Step 1: Make the powers of 10 the same To make the powers of 10 the same, adjust the second number, which is 8.2 × 10⁻¹⁷, to have the same power of 10 as the first number, which is 6.7 × 10⁻¹⁶.

Since 10⁻¹⁷ is a smaller power of 10 than 10⁻¹⁶, we must multiply the numerator and denominator of 8.2 × 10⁻¹⁷ by 10 to obtain an equivalent value that has the same power of 10 as the first number. Therefore, we get;8.2 × 10⁻¹⁷ = (8.2 × 10⁻¹⁷) × (10 / 10)

= 82 × 10⁻¹⁸.

Step 2: Subtract the numbers Now that we have the same power of 10 in both numbers, we can subtract them. 6.7 × 10⁻¹⁶ - 82 × 10⁻¹⁸ = 6.7 × 10⁻¹⁶ - 0.0082 × 10⁻¹⁶ = 6.6918 × 10⁻¹⁶.

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In this scenario, Tony is the one who comes out behind, and by $14. Tony's loss of $14 is smaller than Dave's loss of $20, making Tony the one who comes out behind by a smaller amount.

Tony initially purchases a hat for $14 and gives Dave a $20 bill. Since Dave doesn't have any change, he goes to Laura at Watson's Hardware store and exchanges the $20 bill for twenty $1 bills. Dave gives Tony $6 in change, which means Tony effectively paid $8 for the hat ($14 - $6).

However, it is later discovered that the $20 bill given to Laura by Dave was counterfeit. As a result, Dave compensates Laura by giving her a genuine $20 bill from the store's till. This means that Dave essentially lost $20 in the process.

So, in total, Tony ends up $14 behind because he paid $8 for the hat and received $6 in change, while Dave ends up $20 behind due to the counterfeit $20 bill. Tony's loss of $14 is smaller than Dave's loss of $20, making Tony the one who comes out behind by a smaller amount.

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if the two cities are 45 meters apart in reality, they would be represented as 5 centimeters apart on the map.

The given scale on the map is "cm to 5 m." This means that every centimeter on the map represents 5 meters in reality.

We are told that the two cities are 45 meters apart in reality. To find out how far apart they are on the map, we need to determine the equivalent distance in centimeters.

Since every centimeter on the map represents 5 meters, we can set up a proportion to find the distance on the map:

(cm on the map) / (5 m in reality) = (x cm on the map) / (45 m in reality)

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

x cm on the map = (cm on the map) * (45 m in reality) / (5 m in reality)

Simplifying the expression, we have:

x cm on the map = 9 * (cm on the map)

This means that every centimeter on the map represents 9 meters in reality.

Therefore, if the two cities are 45 meters apart in reality, they would be represented as 5 centimeters apart on the map.

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