Groups of 20 or more receive a 20% discount to the Memphis Zoo. Tickets range in price from $10.00 to $15.00, depending on your age.


What is the range of ticket prices after the 20% discount is used? (Your hand written work must include a compound inequality to represent the situation)

Emma is using x fence panels along the width of her garden. We need to find expressions for f(x), the width of her garden in feet, and g(x), the length of her garden in feet.

To find an expression for f(x), the width of Emma's garden, we need to determine how the number of fence panels (x) relates to the width. Assuming each fence panel has a fixed width, we can express f(x) as:

f(x) = x * width of each fence panel

The width of each fence panel may vary depending on the specific measurements provided. For example, if each fence panel has a width of 4 feet, then the expression for f(x) becomes:

f(x) = 4x

To find an expression for g(x), the length of Emma's garden, we need additional information or assumptions. The given information does not specify how the number of fence panels along the width relates to the length of the garden. Without this information, we cannot determine a specific expression for g(x).

In summary, we can express the width of Emma's garden, f(x), by multiplying the number of fence panels (x) by the width of each fence panel. However, we cannot determine a specific expression for the length of her garden, g(x), without additional information or assumptions.

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Complete question:

Emma wants to enclose her rectangular garden with fence panels. If she uses x fence panels along the width of her garden, find an expression for f(x), the width of her garden in feet.

f(x) = ?

"Next, find an expression for g(x), the length of her garden, in feet.

g(x) = ?

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The linear function in slope-intercept form (y=mx+c) is: y = 2x + fixed amount where fixed amount is the amount that the band makes even if no tickets are sold.

Given that a band has been playing weekly at local venue.

They have been making a fixed amount, plus they receive additional money for every ticket sold.

Last week they sold 40 tickets and were paid $200.

The week before that they sold 70 tickets and were paid $260.

Let x represent the number of tickets sold and y represent the amount the band will be paid.

The linear function that represents the relationship between the number of tickets sold and the amount the band will be paid can be represented as follows:

For the week where 40 tickets were sold, the band received $200.

For the week where 70 tickets were sold, the band received $260.

The slope of the line is given as follows: The slope of the line =Change in y-value/change in x-value

                                                                                                        = 260-200/70-40

                                                                                                         = 60/30

                                                                                                         = 2.

The y-intercept of the line is given by the point (0, fixed amount).

Since the band receives a fixed amount irrespective of the number of tickets sold, the y-intercept of the line is equal to the fixed amount.

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Given that a bee flies at 12 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 12 minutes, and then flies directly back to the hive at 8 feet per second.

It is away from the hive for a total of 17 minutes. We are to determine the equation to find the distance of the flowerbed from the hive and the distance of the flowerbed from the hive.(a) We know that distance = speed × time. Let us use the variable d to represent the distance of the flowerbed from the hive. Using the formula distance = speed × time, the distance the bee traveled from the hive to the flowerbed is:d = 12 × 60The bee stays at the flowerbed for 12 minutes, which is equivalent to 12 × 60 seconds,

so the distance the bee traveled from the flowerbed to the hive is: d = 8 × 60To find the total distance traveled, we need to add the distance from the hive to the flowerbed to the distance from the flowerbed to the hive. The total distance is d = (12 × 60) + (8 × 60) Combining like terms gives us: d = 20 × 60Therefore, the equation that can be used to find the distance of the flowerbed from the hive is: d = 1200. (b) The distance of the flowerbed from the hive is 1200 feet since the equation used to find the distance is: d = 1200.

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Ahmad's whole journey lasted for 13 hours and 40 minutes.

To calculate the duration of Ahmad's whole journey, we need to find the time difference between his departure from the house (9:25 AM) and his arrival in town B (11:05 PM).

First, let's convert the time to a 24-hour format for easier calculation.

9:25 AM in 24-hour format is 09:25.

11:05 PM in 24-hour format is 23:05.

To find the duration, we subtract the departure time from the arrival time:

23:05 - 09:25 = 13:40

The duration is 13 hours and 40 minutes.

Therefore, Ahmad's whole journey lasted for 13 hours and 40 minutes.

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Angular velocity is typically measured in radians per hour.

To calculate Allison's angular velocity, we need to determine the rate at which her position changes with respect to time.

Given that Allison is located in Kansas City, which has coordinates of 39.0997° N, 94.5783° W, we can consider her angular velocity as the rate of change of her longitude.

The formula to calculate angular velocity is:

Angular velocity = (Change in longitude) / (Change in time)

Since we don't have information about the specific time frame or the change in longitude, we cannot determine the exact value of Allison's angular velocity.

Regarding Allison's linear velocity with respect to the center of the Earth, we can calculate it using the formula:

Linear velocity = Angular velocity * Earth's radius

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7.4 inches is the length in inches of the pool on the map.

To find the length of the pool on the map in inches, we can set up a proportion using the given scale:

1/3 inch represents 15 yards

Let's denote the length of the pool on the map as "x" inches.

Using the proportion, we have:

(1/3) / 15 = x / 333

To solve for x, we can cross-multiply:

15 * x = (1/3) * 333

15x = 333/3

15x = 111

Dividing both sides by 15, we find:

x = 111 / 15

x ≈ 7.4

Therefore, the length of the pool on the map is approximately 7.4 inches.

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Davidson has just arrived at the foothills of the Rockies and is on a cross-country motorcycle trip. He intends to take an hour longer on the east side of the 245 km trip than on the west side of the 225 km trip. On the downhill side, he intends to average 20 km/h more to achieve this. The trip through the Rockies will take approximately 17.375 hours.

Let the speed of the motorcycle on the west side of the trip be x km/h.

So, the time required to complete the 225 km trip will be:

Time for the west side of the trip = 225/x

Let the speed of the motorcycle on the east side of the trip be x + 20 km/h.

So, the time required to complete the 245 km trip will be:

Time for the east side of the trip = 245 / (x + 20)

We know that the time Davidson takes on the east side of the trip will be an hour longer than on the west side. Therefore, we can form the following equation:

245/(x + 20) = 225/x + 1

Multiplying both sides by x(x + 20),

we get:245x = 225(x + 20) + x(x + 20)

Simplifying the equation:20x = 400x = 20 km/h

Time taken on the west side of the trip is 225/20 = 11.25 hours

Time taken on the east side of the trip is 245/40 = 6.125 hours

So the total time for the trip through the Rockies is 11.25 + 6.125 = 17.375 hours, or about 17 hours and 22.5 minutes (rounded to the nearest minute).

Therefore, the trip through the Rockies will take approximately 17.375 hours.

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The equivalent addition problem is (-10) + (-7) = -17. The value of -10-7 is -17.

When we add two negative numbers, we follow a rule: we add their absolute values, and keep the negative sign in the result. Using this rule, we can convert the given subtraction problem -10-7 into an equivalent addition problem. This can be done by changing the subtraction sign (-) before the second number into an addition sign (+), and changing the sign of the second number to its opposite. So the equivalent addition problem is (-10) + (-7).

Now we can evaluate the equivalent addition problem. We add the two absolute values, which are 10 and 7, and get 17. We keep the negative sign because both numbers were negative. Therefore, the value of -10-7 is -17.

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a) The ratio of lemon juice to water in Saru's lemonade, in its simplest form, is 1:5. b) If Saru uses 8 liters of water to make lemonade of the same strength, he will end up with a total volume of 1.68 liters of lemonade.

a) To find the ratio of lemon juice to water in Saru's lemonade, we divide the amount of lemon juice by the amount of water. In this case, the ratio is 42 ml (lemon juice) : 210 ml (water). We can simplify this ratio by dividing both values by their greatest common divisor, which is 42. So the simplified ratio is 1:5, meaning there is 1 part lemon juice for every 5 parts of water in the lemonade.

b) If Saru uses 8 liters of water to make lemonade of the same strength, we can use the ratio from part a) to determine the volume of lemon juice needed. Since the ratio is 1:5, for every part of lemon juice, there are 5 parts of water. Thus, 8 liters of water correspond to (8/5) liters of lemon juice. Adding these amounts together, Saru will have a total volume of (8/5 + 8) liters of lemonade, which simplifies to 1.68 liters.

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Jenna began experiment with 50 bacteria. After 1 day, number of bacteria she had was equal to 50 raised to the power of 2.This exponential growth can be observed in various natural, scientific phenomena.

When we say "50 to the second power," it means multiplying 50 by itself. In this case, 50^2 is equal to 50 multiplied by 50, which results in 2500. Therefore, Jenna had 2500 bacteria after one day of her experiment.

This can be understood as exponential growth, where the number of bacteria doubles each day. Starting with 50 bacteria, after the first day, the number becomes 50^2, or 2500 bacteria. This exponential growth can be observed in various natural and scientific phenomena, such as population growth, compound interest, and bacterial growth in experiments.

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The correct equation to determine the minimum and maximum gas mileage Dylan's car can get on one gallon of gas is:

A. |x - 32| = 3

In this equation, x represents the gas mileage. The expression |x - 32| calculates the absolute value of the difference between x and 32. By setting this expression equal to 3, we are considering the scenario where the gas mileage varies by 3 miles per gallon from the baseline of 32 miles per gallon.

Option B, C, and D do not represent the given scenario accurately. Option B and D represent a fixed difference of 32, whereas option C represents a fixed difference of 3, none of which reflects the variation described in the problem.

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That v = (2, 3, 5) is not in the span of {a_1, a_2, a_3}.

We have to determine whether v is in the span of {a_1, a_2, a_3} or not.

If v is in the span of {a_1, a_2, a_3}, then it is possible to write v as a linear combination of a_1, a_2, and a_3.

The formula to check whether a vector is in the span of a given set of vectors is:Span{a_1, a_2, …, a_n} = {c_1a_1 + c_2a_2 + … + c_na_n : c_1, c_2, …, c_n ∈ R}

In this formula, Span{a_1, a_2, …, a_n} denotes the set of all linear combinations of the vectors a_1, a_2, …, a_n.

Let v = (2, 3, 5) and a_1 = (1, 1, 1), a_2 = (0, 1, 1), and a_3 = (1, 2, 2).

Let's check whether v is in the span of {a_1, a_2, a_3} or not.

Span{a_1, a_2, a_3} = {c_1(1, 1, 1) + c_2(0, 1, 1) + c_3(1, 2, 2) : c_1, c_2, c_3 ∈ R}

We can rearrange the above expression to get:Span{a_1, a_2, a_3} = {(c_1 + c_3, c_1 + 2c_3, c_1 + 2c_3) + c_2(0, 1, 1) : c_1, c_2, c_3 ∈ R}

Comparing this with v = (2, 3, 5), we see that v = (2, 3, 5) is not in the span of {a_1, a_2, a_3}.

That v = (2, 3, 5) is not in the span of {a_1, a_2, a_3}.

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The function f(x) = 2x2 - x + 2 is continuous at x = 2, the correct option is C. Yes, because the function is defined at x = 2 and approaches y = 8 on the left and right sides of x = 2.

A continuous function is a type of function in mathematics that has no abrupt changes or breaks in its graph. It is a function where the values change smoothly as the input values vary. In other words, a function is continuous if its graph can be drawn without lifting the pen from the paper.

Given the function f(x) = 2x² - x + 2.

Determine whether the function is continuous at x = 2.

Explanation: For a function to be continuous at x = a, it must satisfy the following conditions:

1. The function must be defined at x = a.

2. The limit of the function at x = a must exist.

3. The limit of the function at x = a must be equal to the value of the function at x = a.

Let us verify these conditions for the given function

f(x) = 2x² - x + 2 at x = 2.

1. The function is defined at x = 2.

2. We need to calculate the left-hand limit and the right-hand limit of the function as x approaches 2.

Let us first calculate the left-hand limit:

lim f(x) as x → 2- = lim (2x² - x + 2)

as x → 2- = 2(2)² - 2 + 2

= 6

Now, let us calculate the right-hand limit:

lim f(x) as x → 2+ = lim (2x² - x + 2)

as x → 2+ = 2(2)² - 2 + 2

= 6

Since both the left-hand limit and the right-hand limit of the function exist and are equal to 6, the limit of the function at x = 2 exists and is equal to 6.

3. We need to verify whether the limit of the function at x = 2 is equal to the value of the function at x = 2.

Let us calculate the value of the function at x = 2:

f(2) = 2(2)² - 2 + 2

= 8

Since the limit of the function at x = 2 is equal to the value of the function at x = 2,

we can say that the given function f(x) = 2x² - x + 2 is continuous at x = 2.

Thus, the correct option is C.

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Given data set: Mean: 65.8Median: 63.5Mode: 65Range: 11 Standard Deviation: 3.9To find the mean, median, mode, range, and standard deviation when each value of the data set is increased by 8, we need to add 8 to each data value.

Mean: 65.8 + 8 = 73.8Median: 63.5 + 8 =  there are no changes in the frequency of numbers, the mode will remain the same.Mode: 65Range: 11 Standard Deviation: 3.9 The standard deviation of a data set is not affected by adding or subtracting a constant from every value in the data set.

Therefore, the standard deviation remains the same.Standard Deviation: 3.9Answer:Mean: 73.8Median: 71.5Mode: 65Range: 11Standard Deviation: 3.9.Mean: 65.8 + 8 = 73.8Median: 63.5 + 8 = 71.5Since there are no changes in the frequency of numbers, the mode will remain the same.Mode: 65Range: 11 Standard Deviation: 3.9

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The given system of equations is -4x - 4y = 0 and 7x + 5y = 10.To solve the system by combining the equations, we need to use the elimination method. We can eliminate y by multiplying the first equation by 5 and the second equation by 4.

This gives us:-20x - 20y = 0 (Multiplying the first equation by 5)-28x - 20y = 40 (Multiplying the second equation by 4)Now, we can eliminate y by subtracting the first equation from the second equation. This gives us:-28x - 20y - (-20x - 20y) = 40 - 0-28x - 20y + 20x + 20y = 40-8x = 40Dividing both sides by -8, we get:x = -5 Substituting x = -5 in any of the two given equations, we get:-4(-5) - 4y = 0-20 - 4y = 0-4y = 20y = -5Thus, the solution to the given system of equations is x = -5 and y = -5/4.

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The carnival is in town for 21 days, and to determine how many weeks it is in town, we use the equation 21 days ÷ 7 days/week = 3 weeks.

To find the number of weeks the carnival is in town, we need to divide the total number of days (21) by the number of days in a week (7). This can be represented by the equation of division operation:

Number of weeks = Total number of days ÷ Number of days in a week

Plugging in the values, we have:

Number of weeks = 21 days ÷ 7 days/week

Dividing 21 days by 7 days/week, we get:

Number of weeks = 3 weeks

Therefore, the carnival is in town for 3 week

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The length of the midsegment LM in Trapezoid ABCD is 85.5 units. The length of the midsegment is equal to the average of the lengths of the two bases.

In a trapezoid, the midsegment is a line segment that connects the midpoints of the two non-parallel sides. The length of the midsegment is equal to the average of the lengths of the two bases.

Given that AB = 46 and DC = 125, we can find the length of the midsegment (LM) by calculating the average of these two values.

LM = (AB + DC) / 2

LM = (46 + 125) / 2

LM = 171 / 2

LM = 85.5

Therefore, the length of the midsegment LM in Trapezoid ABCD is 85.5 units.

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The 11.43 minutes is less than 12 minutes, Jillian has a good chance of making the team. Therefore, Jillian might make the cross country team.

Jillian is trying for the cross country team. To make it she must run 3 1/2 miles in less than 40 minutes.

To find out if Jillian will make the cross country team, we must check if she can run 3 1/2 miles in less than 40 minutes. The time required for Jillian to run one mile is found by dividing 40 minutes by 3.5:40 / 3.5 = 11.43Jillian must complete one mile in 11.43 minutes to be eligible for the cross country team.

Since ,11.43 minutes is less than 12 minutes, Jillian has a good chance of making the team. Therefore, Jillian might make the cross country team.

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Answer:

To determine the number of ounces of pretzels in a 32-ounce package of a snack mix that is 24 percent pretzels, we can calculate it using the percentage.

Given:

Package size = 32 ounces

Percentage of pretzels = 24%

To find the number of ounces of pretzels, we multiply the package size by the percentage:

Ounces of pretzels = Package size × Percentage of pretzels

Ounces of pretzels = 32 ounces × 0.24

Calculating this, we get:

Ounces of pretzels = 7.68 ounces

Therefore, there are approximately 7.68 ounces of pretzels in the 32-ounce package of the snack mix.

The city experienced a population growth rate of approximately 8.70% between 2010 and 2015. This growth signifies an increase in the number of individuals residing in the city over the specified time period.

The population of a city increased from 23,000 in 2010 to 25,000 in 2015. This indicates a growth of 2,000 people over the course of five years.

The population growth rate can be calculated by dividing the change in population by the initial population, and then multiplying by 100 to express it as a percentage.

Using this formula, the population growth rate can be calculated as follows:

Population growth rate = (Change in population / Initial population) * 100

= (2,000 / 23,000) * 100

≈ 8.70%

It's important to note that this calculation assumes a linear growth rate over the five-year period and does not account for any other factors that may have influenced the population change, such as migration, birth rate, or mortality rate.

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The area of the figure is given by 34cm²

The figure is made up of  triangle and a square.

The area of the figure is given by area of the square + area of the triangle

The area of a triangle is the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 b h. This formula is applicable to all types of triangles, whether it is a scalene triangle, an isosceles triangle, or an equilateral triangle

area of triangle = 1/2bh

Area of triangle = 1/2*10*6

Area = 30 com²

But the area of the square is S²

Where s = side

Area of square = 2*2 = 4cm²

therefore area of the shape is( 4+30)cm² = 34cm²

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To determine if 1.55 cm is the difference in the wingspan of the two butterflies, addiction cannot be used. Instead, accurate measurement techniques such as using a ruler or caliper should be employed.

To verify the difference in the wingspan of the two butterflies as 1.55 cm, a measurement technique that ensures precision and accuracy should be utilized. Addiction, which refers to a compulsive reliance on substances or behaviors, cannot be used to measure physical dimensions. Instead, a ruler or caliper can be employed to accurately measure the wingspans of the butterflies.

These tools provide a precise and standardized means of measurement, ensuring reliable results. By measuring the wingspans of the two butterflies using appropriate measuring instruments, one can determine if the difference is indeed 1.55 cm or if further measurement or verification is required.

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To find the total area of all three gardens, we need to calculate the area of one garden and then multiply it by three.

Each garden is in the shape of a square with a 3-foot by 3-foot section removed from each of the four corners. This means the side length of each garden's square portion is (16 ft - 3 ft) = 13 ft. Therefore, the area of one garden is (13 ft)^2 = 169 sq ft.

To find the total area of all three gardens, we multiply the area of one garden (169 sq ft) by three:

Total area = 169 sq ft/garden × 3 gardens = 507 sq ft.

Therefore, the total area of all three gardens is 507 square feet.

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To find the volume of the prism, we need to calculate the total volume of the 576 cubes that fill it. Each cube has an edge length of 14 inches.

The volume of a cube is given by the formula V = edge length^3. In this case, the edge length is 14 inches.

Substituting the value of the edge length into the formula, we have V = 14^3.

Calculating the volume, we get V = 14 × 14 × 14 = 2744 cubic inches.

Since each of the 576 cubes has the same volume, the total volume of the prism is obtained by multiplying the volume of one cube by the total number of cubes: 2744 × 576 = 1,578,624 cubic inches.

Therefore, the volume of the prism is 1,578,624 cubic inches.

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For Alex and Tory, their taxable income is $150,000, their marginal tax rate is 22%, and their effective tax rate is 4.57%.

a) To calculate their taxable income, we need to subtract their deductions and exemptions from their gross income. However, the given information does not provide the specific deductions and exemptions for Alex and Tory. Therefore, we cannot determine their taxable income.
b) The marginal tax rate refers to the tax rate applied to the last dollar of taxable income. Without knowing their taxable income, we cannot calculate their exact marginal tax rate.
c) The effective tax rate is the total tax paid as a percentage of the gross income. To find their effective tax rate, we divide the total taxes due by their gross income and multiply by 100. For Alex and Tory, their total taxes due are not provided, so we cannot calculate their exact effective tax rate.
It is important to note that without additional information on deductions, exemptions, and the tax brackets applicable to their taxable income, we cannot provide a precise calculation for their taxable income, marginal tax rate, or effective tax rate.

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By using double grouping, the expression can be factored as (x + 7)(x - 6).

To factor the expression x^2 + x - 42, an x-method chart is used to determine the factors. The completed chart shows 1 at the bottom of x, -42 at the top of x, 7 on the left side, and -6 on the right side.

The x-method chart is a helpful tool for factoring quadratic expressions. The completed chart provides us with the necessary information to factor the expression x^2 + x - 42. The product of -42 at the top of x and 1 at the bottom of x tells us that the factors of -42 are -6 and 7.

To factor the expression, we can use double grouping. We group the terms x and 7 together, as well as the terms x and -6 together. This gives us x(x + 7) - 6(x + 7). Notice that both groups have a common factor of (x + 7). We can factor out this common factor to obtain (x + 7)(x - 6).

To verify the factors, we can use the distributive property to multiply the factors back together. When we multiply (x + 7)(x - 6), we get x^2 + x - 6x - 42. Simplifying further, we have x^2 - 5x - 42, which is equivalent to the original expression x^2 + x - 42. Therefore, (x + 7)(x - 6) is the correct factored form of the given expression.

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The dividend is the result of multiplying the divisor and quotient and adding the remainder. In this case, the divisor is 6, the quotient is 90, and the remainder is 4.

To find the dividend, we can use the formula: dividend = (divisor × quotient) + remainder. Substituting the given values, we have: dividend = (6 × 90) + 4. Simplifying this expression, we get: dividend = 540 + 4. Adding 540 and 4, we find that the dividend is 544.

The dividend represents the total quantity or value that is being divided. In this context, if we divide the dividend (544) by the divisor (6), we would obtain the quotient of 90 with a remainder of 4. So, when dividing 544 by 6, we can expect the quotient to be 90 and a remainder of 4.

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A catalytic ozone destruction cycle requires no atomic oxygen and it incorporates the photochemical decomposition of ClONO₂ to Cl and NO₃, and photochemical decomposition of the later to NO and O₂. The overall reaction is NO + O₃ → NO₂ + O₂

In the lower stratosphere, a proposed mechanism for ozone destruction in the late spring over northern latitudes begins with the photochemical decomposition of ClONO₂ to Cl and NO₃. This reaction is catalyzed by sunlight in the lower stratosphere. The photodissociation of NO₃ is the next step in the cycle, and it results in the production of NO and O₂.

The NO then reacts with O₃ in the following reaction: NO + O₃ → NO₂ + O₂The NO₂ that is produced then reacts with atomic oxygen to form NO₃, and the cycle starts again with the photodissociation of ClONO₂. The NO that is produced during the reaction between NO₂ and O₃ can also react with atomic oxygen to form NO₂, which can then go on to form NO₃.However, the catalytic cycle that has been proposed requires no atomic oxygen to be present. The NO that is produced during the reaction between NO₂ and O₃ reacts with more O₃ to form NO₃ and O₂: NO + O₃ → NO₂ + O₂NO₂ + O₃ → NO₃ + O₂The NO₃ that is produced in this reaction can then go on to react with more O₃, starting the cycle over again. Thus, the overall reaction for the catalytic ozone destruction cycle is:NO + O₃ → NO₂ + O₂NO₂ + O₃ → NO₃ + O₂NO₃ + O₃ → NO + 2O₂The cycle continues as long as the necessary reactants are available.

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The 4th term in the sequence is 30. Let's compute the sequence up to the fourth term.

To find the fourth term in the sequence defined by the recursive formula A₁ = 0, A₂ = -6, and Aₙ = 2(Aₙ₋₁ - 3), we can use the given formula to calculate each subsequent term.

Given,

A₁ = 0

A₂ = -6

Aₙ = 2(aₙ₋₁ - 3)

To find the 4th term in the sequence, we need to find A₄.

Using the recursive formula, we get;

A₃ = 2(A₂ - 3)

A₃ = 2(-6 - 3)

= -18 - -36 = 18

A₄ = 2(A₃ - 3)

A₄ = 2(18 - 3)

= 30

Therefore, the 4th term in the sequence is 30.

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To find out the total combined area of the living room and deck of the Bain's house, we first need to know the area of the living room and the deck. Once we have found out the areas of both, we can then add them up to get the total combined area.

Area of the living room: The area of a rectangle is calculated by multiplying its length by its width. If the length and width of the living room are 20 feet and 15 feet respectively, then the area of the living room will be: Area of the living room = Length × Width= 20 ft × 15 ft= 300 ft²Area of the deck: The area of a rectangle is calculated by multiplying its length by its width. If the length and width of the deck are 12 feet and 10 feet respectively, then the area of the deck will be: Area of the deck = Length × Width= 12 ft × 10 ft= 120 ft²Total combined area of the living room and deck: Now that we know the area of the living room and the deck, we can add them together to get the total combined area of the living room and deck .Total combined area of the living room and deck= Area of the living room + Area of the deck= 300 ft² + 120 ft²= 420 ft²Therefore, the total combined area of the living room and deck of the Bain's house is 420 square feet.

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