A globe company currently manufactures a globe that is 18 inches in diameter. If the dimensions of the globe were reduced by half, what would its volume be? Use 3. 14 for π and round your answer to the nearest tenth. 381. 5 in3 972. 1 in3 121. 5 in3 3052. 1 in3.

A sphere has a radius of 1. 5 inches. What is the volume of the sphere rounded to the nearest tenth, The volume of the sphere with a radius of 1.5 inches is approximately 14.1 cubic inches.

To calculate the volume of a sphere, we use the formula: V = (4/3) * π * r^3

Given that the radius (r) is 1.5 inches and π is 3.14, we substitute these values into the formula:

V = (4/3) * 3.14 * (1.5)^3

V = (4/3) * 3.14 * 3.375

V ≈ 14.1375

Rounding to the nearest tenth, the volume of the sphere is approximately 14.1 cubic inches.

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Therefore, as the buyer, you will pay $22,548 for the used car after the dealership marks it up by 20%.

To calculate the price you, as the buyer, will pay after the car dealership marks up the car by 20%, you need to add the markup amount to the original price.

Markup amount = 20% of $18,790

Markup amount = 0.20 * $18,790

Markup amount = $3,758

The markup amount is $3,758.

To determine the final price you will pay, you need to add the markup amount to the original price:

Final price = Original price + Markup amount

Final price = $18,790 + $3,758

Final price = $22,548

Therefore, as the buyer, you will pay $22,548 for the used car after the dealership marks it up by 20%.

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We calculate the sum of these changes: 0.7% + (current year's change) + (current year's change) + (current year's change).= 0.25%. ( fictional )

To calculate the average change in the inflation rate, we require the inflation rates for each of the five years, including 2021. Let's assume the inflation rates for the five years are: 2.5%, 3.2%, 2.8%, 4.1%, and 3.9%.

To find the change in inflation rate for each consecutive year, we subtract the inflation rate of the previous year from the inflation rate of the current year. For example, the change in inflation rate from 2020 to 2021 would be 3.2% - 2.5% = 0.7%.

Next, we calculate the sum of these changes: 0.7% + (current year's change) + (current year's change) + (current year's change).

Finally, we divide the sum by the number of years (five in this case) to find the average change in the inflation rate over the five-year period. After rounding the result to two decimal places, we will have the desired average change in the inflation rate.

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To receive a free T-shirt at the clothing store, Lyndon needs to spend $75 or more. He has already spent $36.95. The statement that best represents all the amounts he can spend to get a free T-shirt is:

Lyndon can spend any amount that, when added to $36.95, results in a total of $75 or more.

This means that Lyndon can spend any amount greater than or equal to $75 - $36.95, which is approximately $38.05. In other words, he needs to spend at least $38.05 to reach the minimum requirement for a free T-shirt. Any amount above this minimum threshold will also qualify him for a free T-shirt.

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In a bag containing 12 beads, 2 are blue, 1 is green, and 3 are purple. We need to calculate the probability of selecting a bead that is either purple or red.

By determining the number of purple and red beads and dividing it by the total number of beads, we can show that the probability is 3 over 4.

To calculate the probability of selecting a purple or red bead, we first need to determine the number of purple and red beads in the bag. We are given that there are 3 purple beads in the bag.

Since the remaining colors are not specified, we can assume that the non-purple beads are of a different color, which we will consider as red.

Therefore, there are a total of 3 purple beads and 9 (12 - 3) red beads in the bag.

The probability of selecting a purple or red bead is the ratio of the favorable outcomes (purple and red beads) to the total number of outcomes (all beads).

The probability can be calculated as:

Probability = (Number of purple or red beads) / (Total number of beads)

Probability = (3 + 9) / 12

Probability = 12 / 12

Probability = 1

The probability is equal to 1, which indicates that selecting a bead that is either purple or red is certain.

To express this probability as a fraction, we can simplify it by dividing both the numerator and denominator by their greatest common divisor, which is 12:

Probability = 12 / 12 = 1 / 1 = 1

Therefore, the probability of selecting a bead that is either purple or red is 1, which can also be expressed as 3 over 4 when simplified.

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The circumference of the circle is 18.84 meters and the area is 28.26 square meters, where C is the circumference, π is a mathematical constant approximately equal to 3.14,

The circumference of a circle is the distance around it. It is calculated by using the formula C = 2πr, where C is the circumference, π is a mathematical constant approximately equal to 3.14, and r is the radius of the circle. The radius is the distance from the center of the circle to any point on the edge.

In this case, the radius is 3 meters, so the circumference is C = 2πr = 2 × 3.14 × 3 = 18.84 meters.

The area of a circle is the amount of space it takes up. It is calculated by using the formula A = πr², where A is the area, π is the same mathematical constant as before, and r is the radius again.

In this case, the radius is 3 meters, so the area is A = πr² = 3.14 × 3² = 28.26 square meters.

To round to the nearest hundredth, we can simply add two zeros to the end of the decimal places. This gives us a circumference of 18.840 meters and an area of 28.260 square meters.

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Let's assume the price of each train ticket is x dollars.

Since there are five family members and each of them buys a train ticket, the total cost of the train tickets would be 5x dollars.

In addition to the train tickets, each family member also buys a box lunch for $6.50. Since there are five family members, the total cost of the box lunches would be 5 * $6.50 = $32.50.

Given that the total cost of the trip is $248.50, we can set up the equation:

5x + $32.50 = $248.50

Subtracting $32.50 from both sides of the equation:

5x = $248.50 - $32.50

5x = $216

Dividing both sides of the equation by 5:

x = $216 / 5

x ≈ $43.20

Therefore, the price of each train ticket is approximately $43.20.

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A dot plot is a type of graph that can be used to represent numerical data. It displays data using a series of dots, with each dot representing a single data point.

The dots are placed on a horizontal number line, with the value of each dot corresponding to the numerical value of the data point it represents.

A dot plot is most useful when displaying small sets of data.

And

In the given options, the set of numbers 16, 29, 31, 37, 44, 49, 58, 63, 69, 70, 83, and 97 can best be displayed on a dot plot.

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Two columns, each divided into 10 small squares. Plus sign. Three columns, each divided into 10 small squares. These models provide visual representations of the sum 1.2 + 0.3, helping to understand the addition of these numbers.

To identify the models that represent the sum 1.2 + 0.3, let's analyze the given options:

Number line from 0 to 4 by tenths - This model represents the sum as it includes the values 1.2 and 0.3 on the number line, allowing for visualizing the addition of these numbers.

An arrow shows a jump starting at 0 and ending 2 marks past 1 - This model does not directly represent the sum of 1.2 + 0.3. It only illustrates a jump on the number line, which may not correspond to the sum in question.

Another arrow shows a jump starting at 2 marks past 1 and ending at 5 marks past 1 - Similar to the previous option, this model does not directly represent the sum of 1.2 + 0.3. It demonstrates another jump on the number line, unrelated to the given sum.

One column, divided into 10 small squares - This model does not directly represent the sum 1.2 + 0.3 as it only presents a column without any values or operations.

Two small squares. Plus sign. Three columns, each divided into 10 small squares - This model represents the sum 1.2 + 0.3. The two small squares likely represent 1.2 and 0.3, and the plus sign indicates the operation of addition. The three columns divided into 10 small squares may provide a visual representation of the place value concept.

Two 10 by 10 grids of 100 squares - This model does not directly represent the sum of 1.2 + 0.3. It shows two grids of squares but does not include the given numbers or an addition operation.

All 10 columns of the first square and 2 columns of the second square shaded one color - This model does not directly represent the sum 1.2 + 0.3. It describes shading specific columns in squares, which is unrelated to the given sum.

Three columns of the second square shaded a different color - Similar to the previous option, this model does not directly represent the sum of 1.2 + 0.3. It focuses on shading specific columns in squares without providing a representation of the sum.

Large square divided into a 10 by 10 grid of 100 small squares - This model does not directly represent the sum 1.2 + 0.3. It describes a large square divided into smaller squares but does not include the given numbers or an addition operation.

Two columns, each divided into 10 small squares. Plus sign. Three columns, each divided into 10 small squares - This model represents the sum 1.2 + 0.3. The two columns divided into 10 small squares likely represent 1.2 and 0.3, and the plus sign indicates the operation of addition. The three columns divided into 10 small squares may provide a visual representation of the place value concept.

Ten by 10 grid of 100 squares. The first column and 2 squares of the second column are shaded one color. The next three columns are shaded another color - This model does not directly represent the sum 1.2 + 0.3. It focuses on shading specific columns in a grid of squares, which is unrelated to the given sum.

Based on the analysis, the models that represent the sum 1.2 + 0.3 are:

Number line from 0 to 4 by tenths

Two small squares. Plus sign. Three columns, each divided into 10 small squares

Two columns, each divided into 10 small squares. Plus sign. Three columns, each divided into 10 small squares

These models provide visual representations of the sum 1.2 + 0.3, helping to understand the addition of these numbers.

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The length of XW in coordinate units is [tex]\sqrt{34}[/tex] units.

Given that X (4,1), Y(7,1) and Z(4,6) are the coordinates of a rectangle XYZW in the standard (x,y) coordinate plane.

We need to find the length, in coordinate units, of XW.

Since XZ is perpendicular to XY and XZ and XY are sides of rectangle XYZW, lets use the Pythagorean Theorem to find the length of XW. The length of XZ can be calculated by finding the distance between the coordinates of X and Z.

Using the distance formula, we have;

[tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex] = [tex]\sqrt{(4 - 4)^2 + (6 - 1)^2}[/tex][tex]\sqrt{(0)^2 + (5)^2}[/tex][tex]\sqrt{25}[/tex] = 5 units

The length of XY is calculated by finding the distance between the coordinates of X and Y.

Using the distance formula, we have;

[tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex] = [tex]\sqrt{(7 - 4)^2 + (1 - 1)^2}[/tex][tex]\sqrt{(3)^2 + (0)^2}[/tex][tex]\sqrt{9}[/tex] = 3 units

Therefore, the length of XW can be calculated as follows:

XW = [tex]\sqrt{(XZ)^2 + (XY)^2}[/tex]XW = [tex]\sqrt{(5)^2 + (3)^2}[/tex]XW = [tex]\sqrt{34}[/tex] units

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In rhombus DEFG, we are given that GE is 42 and DH is 16. We need to find GH. Additionally, we are given EF as 13 and DF as 18, and we need to find EH.

Finding GH:

In a rhombus, opposite sides are equal in length. Since GE is given as 42, GH is also equal to 42.

Finding EH:

In a rhombus, the diagonals bisect each other at right angles, forming four right triangles. We can use the Pythagorean theorem to find EH. Using the given information, we have EF as 13 and DF as 18. The diagonals DE and FG are equal in length, so EF and DF are the lengths of the two halves of diagonal DE.

To find EH, we can consider one of the right triangles formed by the diagonals. Let's take triangle DEF.

In triangle DEF, we have:

DE = 2 * EF = 2 * 13 = 26 (because EF is half of DE)

DF = 18

We can use the Pythagorean theorem to find EH:

EH^2 = DE^2 - DF^2

EH^2 = 26^2 - 18^2

EH^2 = 676 - 324

EH^2 = 352

To find EH, we take the square root of both sides:

EH = √352

EH ≈ 18.77

Therefore, EH is approximately 18.77 units.

In summary, GH in rhombus DEFG is equal to 42 units, as opposite sides of a rhombus are equal. To find EH, we use the Pythagorean theorem in one of the right triangles formed by the diagonals. Given EF as 13 and DF as 18, we calculate EH to be approximately 18.77 units. The Pythagorean theorem allows us to find unknown side lengths in right triangles, and applying it in the context of the rhombus helps us determine the lengths of GH and EH.

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The new equation obtained after substituting the expression equivalent to x from the first equation into the second equation is -18 - 13y = -6.

To solve the given system of equations using the substitution method, we need to substitute the expression equivalent to x from the first equation into the second equation.

To find the new equation, we can follow these steps:

Start with the first equation: x + 4y = -9.

Solve the first equation for x: x = -9 - 4y.

Substitute the expression (-9 - 4y) for x in the second equation: 2x - 5y = -6 becomes 2(-9 - 4y) - 5y = -6.

Simplify the equation by performing the multiplication: -18 - 8y - 5y = -6.

Combine like terms: -18 - 13y = -6.

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the given triangle ABC with side lengths a=39, b=52, and c=65 is indeed a right triangle, as it satisfies the Pythagorean theorem.

To verify if triangle ABC is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).

Let's check if the given lengths satisfy the Pythagorean theorem:

a = 39

b = 52

c = 65

Using the theorem:

c² = a² + b²

65² = 39² + 52²

4225 = 1521 + 2704

4225 = 4225

The equation is true, as both sides of the equation are equal.

Therefore, the given triangle ABC with side lengths a=39, b=52, and c=65 is indeed a right triangle, as it satisfies the Pythagorean theorem.

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the radius of the spherical balloon is 8.53 cm.

The volume of a sphere of radius r is given by the formula (4/3)πr³ cm³.

Given that the volume of the spherical balloon is 950 cm³, we have:(4/3)πr³ = 950 cm³

Dividing both sides of the equation by (4/3)π, we get:r³ = (950 × 3)/(4 × π) cm³= (2850/4) π/π= 712.5

Therefore, r = ∛(712.5) cm= 8.53 cm (approx.)

Given that the volume of the spherical balloon is 950 cm³, we need to find the radius of the balloon.

To do this, we will use the formula for the volume of a sphere, which is given by (4/3)πr³ cm³, where r is the radius of the sphere. Using this formula, we can write:

4/3)πr³ = 950 cm³

Dividing both sides of the equation by (4/3)π, we get:

r³ = (950 × 3)/(4 × π) cm³= (2850/4) π/π= 712.5Therefore, r = ∛(712.5) cm= 8.53 cm (approx.)

Hence, the radius of the spherical balloon is 8.53 cm.

The radius of a spherical balloon was to be calculated based on the given volume of the balloon. The formula for the volume of a sphere was used which is (4/3)πr³.

On substituting the given volume and simplifying the obtained equation, we get the value of the radius of the spherical balloon. The final answer for the radius of the balloon was calculated to be 8.53 cm.

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When the weights of 3-year-old boys are normally distributed with a mean of 21 lbs and a standard deviation of 0.7 lbs then the z-score that corresponds to a little boy's weight of 33 lbs is approximately 17.14.

The weights of 3-year-old boys are normally distributed with a mean of 21 lbs and a standard deviation of 0.7 lbs.

We need to find the z-score corresponding to a little boy's weight of 33 lbs.

The z-score measures the number of standard deviations an observation is from the mean of a distribution.

It helps in determining the relative position of a value within a distribution.

To calculate the z-score, we use the formula:

z = (x - μ) / σ

where x is the observed value, μ is the mean, and σ is the standard deviation.

In this case, the observed weight is 33 lbs, the mean is 21 lbs, and the standard deviation is 0.7 lbs.

Substituting these values into the formula, we get:

z = (33 - 21) / 0.7

Calculating the numerator, we have:

z = 12 / 0.7

Simplifying further, we get:

z ≈ 17.14

Therefore, the z-score that corresponds to a little boy's weight of 33 lbs is approximately 17.14.

This indicates that the weight of the little boy is about 17.14 standard deviations above the mean weight of 3-year-old boys.

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the excluded values for the rational expression x(x+17) are x = 0 and x = -17.

In a rational expression, the denominator cannot be equal to zero because division by zero is undefined. To find the excluded values, we need to find the zeros of the denominator.

In this case, the denominator is x(x+17). To find the zeros, we set the denominator equal to zero and solve for x:

x(x+17) = 0

The equation will be satisfied when either x = 0 or x + 17 = 0.

For x = 0, the expression becomes 0(0+17) = 0, which means division by zero would occur.

For x = -17, the expression becomes -17(-17+17) = -17(0) = 0, which again leads to division by zero.

Therefore, the excluded values for the rational expression x(x+17) are x = 0 and x = -17.

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The height of the oak tree is approximately 4.846 ft.

To find the height of the oak tree, we can use similar triangles and the concept of vertical angles. Let's set up the problem and include a diagram to illustrate the situation.

Let's assume the height of the oak tree is represented by h.

We have the following information:

Igor's eye height: 4.5 ft

Distance between Igor and the mirror: 5 ft

Distance between the mirror and the oak tree: 70 ft

We can create a right triangle with Igor's eye height, the distance between Igor and the mirror, and the height of the tree. Let's label the points in the diagram as follows:

  |\

  | \

h  |  \    <-- Height of the oak tree

  |   \

  |    \

  |-----\

 5 ft  70 ft

Now, using the concept of similar triangles, we can set up the following proportion:

(h + 4.5 ft) / 5 ft = h / 70 ft

Cross-multiplying, we get:

70(h + 4.5 ft) = 5h

70h + 315 ft = 5h

70h - 5h = -315 ft

65h = -315 ft

Dividing both sides by 65, we find:

h = -315 ft / 65

h ≈ -4.846 ft

Since height cannot be negative, we can disregard the negative value. Therefore, the height of the oak tree is approximately 4.846 ft.

Please note that negative values in this context indicate an error in the calculation or a discrepancy in the given measurements.

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Janis needs 3 gallons of lemonade for the party. She already has 4/4 six-packs and 4 cups of ready-made lemonade. The task is to determine how many more cups of lemonade Janis needs to meet the required amount.

To find the answer, we need to convert the gallons of lemonade into cups. Since 1 gallon is equal to 16 cups, 3 gallons would be equal to 3 * 16 = 48 cups.

Janis already has 4 six-packs, which means she has 4 * 6 = 24 cups of lemonade from the six-packs. Adding the 4 cups of ready-made lemonade, Janis has a total of 24 + 4 = 28 cups of lemonade.

To determine how many more cups of lemonade Janis needs, we subtract the cups she already has from the required amount. Thus, 48 - 28 = 20 more cups of lemonade are needed for the party.

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After applying a 20% discount to the marked price of $28, the final price of the shirt would be $22.40.

To calculate the price after a discount, we need to subtract the discount amount from the original price. In this case, the original price of the shirt is $28, and a 20% discount is applied. To find the discount amount, we calculate 20% of $28, which is $5.60. Subtracting $5.60 from the original price gives us the final price of $22.40. Discount = 20% of $28 = (20/100) * $28 = $5.60. Discounted Price = $28 - $5.60 = $22.40. Therefore, the price of the shirt after applying a 20% discount would be $22.40.

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#Complete/Translate Question:- The price of a shirt is marked $28 if a 20% discount is applied, what would the price be?

Therefore, the required simple interest rate is approximately 3.8%.

To find the required simple interest rate, we can use the formula:

Simple Interest = Principal * Interest Rate * Time

We know the principal (P) is $4790, the final amount (A) is $6500, and the time (T) is 9 years. We need to find the interest rate (R).

First, let's calculate the interest (I):

I = A - P = $6500 - $4790 = $1710

Now we can substitute the values into the formula and solve for the interest rate:

I = P * R * T

$1710 = $4790 * R * 9

Dividing both sides by ($4790 * 9):

R = $1710 / ($4790 * 9) ≈ 0.038 (rounded to three decimal places)

To convert this to a percentage, we multiply by 100:

R ≈ 0.038 * 100 ≈ 3.8

Therefore, the required simple interest rate is approximately 3.8%.

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Answer:11.91 m

Step-by-step explanation:ngle of Depression is the measurement of angle between the horizontal and your line of sight (when looking down).

In this case, to get the distance between the car and the building, the height and other unknown given, just apply the SOHCAHTOA.

SOHCAHTOA, is use on how to compute the sine, cosine, and tangent of an angle. SOH stands for Sine equals Opposite over Hypotenuse. CAH stands for Cosine equals Adjacent over Hypotenuse. TOA stands for Tangent equals Opposite over Adjacent.

In the given problem, let X is the distance between the car and building. The angle of depression is 36°. Use SOH (in sohcahtoa), to solve the problem.

sin(36°) = 7/x

x = 7/sin(36°)

x = 11.91

Therefore, the distance between the car and building is 11.91 m.

Answer: 4,322.883

Step-by-step explanation:

Assuming that the interest rate is per year:

4,322.883

The number of 2p coins in the bag is 0. We are given the following information: 3/8 of the bag are 1p coins. There are as many 5p coins as 1p coins. There are 640 coins in total.

Let's break down the steps to solve the problem:

Step 1: Calculate the number of 1p coins.

Since 3/8 of the bag are 1p coins, we can find the number of 1p coins by multiplying the total number of coins by 3/8:

Number of 1p coins = (3/8) * 640 = 240

Step 2: Calculate the number of 5p coins.

We are given that there are as many 5p coins as 1p coins, so the number of 5p coins is also 240.

Step 3: Calculate the total value of the 2p coins.

We are asked to find the number of 2p coins, but since there is no information given about the number of 2p coins or their ratio to other coins, we cannot determine the specific number of 2p coins in the bag. Therefore, the number of 2p coins in the bag is 0.

Please double-check the given information to ensure accuracy.

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In a 30-60-90 triangle, the ratio of the side lengths is as follows:

The length of the shorter leg is x.

The length of the longer leg (opposite the 60-degree angle) is x√3.

The length of the hypotenuse is 2x.

Given that the hypotenuse is 16, we can set up the equation:

2x = 16

Dividing both sides of the equation by 2:

x = 8

Therefore, the length of the shorter leg is 8.

To find the length of the longer leg (opposite the 60-degree angle), we can multiply the length of the shorter leg by √3:

Longer leg = x√3 = 8√3

So, the length of the longer leg is 8√3.

In summary, in a 30-60-90 triangle with a hypotenuse of 16, the shorter leg is 8 and the longer leg (opposite the 60-degree angle) is 8√3.

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The number that represents the same amount as 777 hundreds, plus 0 tens, plus 100 ones is 77700. Adding 100 to 77700 gives us the result of 77800.

First, we have 777 hundreds. Since one hundred is equal to 100, we multiply 777 by 100 to get 77700. This represents the value of 77700 in terms of hundreds.

Next, we have 0 tens. Tens represent the digit in the tens place, and in this case, it is 0. So, we don't need to add anything for the tens place.

Finally, we have 100 ones. This means we simply add 100 to the previous result, which is 77700. Adding 100 to 77700 gives us the final result of 77800.

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Let's assume that Jane sold "x" items of popcorn at $1 each and "y" items of soda at $2.11 each. Since Jane sold a total of 31 items, we can write the equation x + y = 31. We also know that Jane made a total of $52.09, so we can write another equation as x + 2.11y = 52.09.

To solve these equations, we can use substitution. Rearranging the first equation, we get x = 31 - y.

of x into the second equation, we have (31 - y) + 2.11y = 52.09.

Simplifying the equation, we get 31 + 1.11y = 52.09. Subtracting 31 from both sides, we have 1.11y = 21.09. Dividing both sides by 1.11, we find y = 19.

Therefore, Jane sold 19 items of soda. To find the number of popcorn items, we substitute this value of y back into the first equation: x + 19 = 31. Subtracting 19 from both sides, we find x = 12.

Hence, Jane sold 12 items of popcorn.

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The correct equation to find the number of tea bags Sarah has is D. t + 39 + 22 = 87. The total number of tea bags they have altogether (87).

In the equation D. t + 39 + 22 = 87, t represents the number of tea bags Sarah has. We add the quantities of tea bags her mom and sister have, which are 39 and 22, respectively. The sum of these three quantities should equal the total number of tea bags they have in total, which is given as 87.

To solve the equation, we can simplify it by adding 39 and 22: t + 61 = 87. Next, we can isolate t by subtracting 61 from both sides of the equation: t = 87 - 61. Simplifying further, we find that t = 26. Therefore, Sarah has 26 tea bags.

In conclusion, Sarah has 26 tea bags based on the given information and the equation t + 39 + 22 = 87.

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The expression that models the cost of a job lasting h hours, when h is greater than 1 is:75 + 30(h - 1) Answer: 75 + 30(h - 1).

Given:

A plumber charges a $75 flat fee for jobs lasting up to an hour and $30 for each hour of labor after the first hour.

Expression that models the cost of a job lasting h hours, when h is greater than 1 is:75 + 30(h - 1),

The cost is $75 for the first hour and $30 per hour for every additional hour, so the cost for h hours of work would be:$75 (for the first hour) + $30 x (h - 1)

(for every additional hour beyond the first hour):

75 + 30(h - 1) : 75 + 30(h - 1).

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The volume of each cube-shaped salt lick is 0.216 cubic feet.

1. The given information states that the edge lengths of each salt lick are 3/5 foot.

2. To calculate the volume of a cube, we need to multiply the length, width, and height of the cube. However, in the case of a cube, all three dimensions are the same because each side of a cube has equal length.

3. In this case, the edge length of each salt lick is 3/5 foot. Since all edges of the cube have the same length, we can consider this length as the length, width, and height of the cube.

4. To find the volume, we need to raise the edge length to the power of 3 (cubed). Mathematically, it can be represented as follows:

  Volume = (Edge length)³

  Substituting the given edge length of 3/5 foot:

  Volume = (3/5)³

  Volume = (3/5) * (3/5) * (3/5)

  Volume = 27/125

5. The result of the calculation is 27/125. To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 1 in this case.

  Dividing both 27 and 125 by 1:

  Volume = 27/125

  Volume = 0.216

6. Therefore, the volume of each cube-shaped salt lick is 0.216 cubic feet.

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the largest possible number of players in any one team is 15.

In a cricket league, 145 players play in 10 different teams. Each team has at least 14 players. The largest possible number of players in any one team is 16.

How to find out the largest possible number of players in any one team?

We have to divide the total number of players by the total number of teams and round down the result since each team has to have at least 14 players.

145 players ÷ 10 teams = 14 remainder 5

So, there are 10 teams of 14 players and 1 team of 15 players.

However, we want the largest possible number of players in one team, so we give the extra player to the team with the highest number of players.

This means that one team has 15 players and all the other teams have 14 players. Therefore, the largest possible number of players in any one team is 15.

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