Two airplanes leave the airport. Plane A departs at a 41° angle from the runway, and plane B departs at a 43° angle from the runway. Which plane was farther away from the airport when it was 5 miles from the ground? Round the solutions to the nearest hundredth. Plane A because it was 7. 62 miles away Plane A because it was 6. 63 miles away Plane B because it was 6. 84 miles away Plane B because it was 7. 33 miles away.

The normal force exerted by the table on the brick is approximately

73.7 Newtons.

The weight of the brick can be calculated using the formula:

Weight = mass x acceleration due to gravity

Weight = 7.52 kg x 9.8 m/s²

since the brick is in equilibrium, the normal force exerted by the table on the brick is equal in magnitude but opposite in direction to the weight of the brick.

Therefore, the normal force exerted by the table on the brick is:

Normal force = Weight of the brick

Normal force = 7.52 kg x 9.8 m/s²

Simplifying the calculation:

Normal force ≈ 73.696 N

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When Triangle ABC is dilated with a center of dilation at (0,0) and a scale factor of 2, the coordinates of point A' can be found by multiplying the original coordinates of point A by the scale factor.

In this case, if the coordinates of point A are (x, y), then the coordinates of A' would be (2x, 2y).

Dilation involves scaling an object by a factor while preserving its shape. When the center of dilation is at (0,0), the dilation occurs relative to the origin. By applying a scale factor of 2, the x-coordinate of point A is multiplied by 2, and the y-coordinate of point A is also multiplied by 2. This scaling operation results in the coordinates of A' being (2x, 2y).

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An area of 18 x 30 = 540 square meters, which is half the area of his backyard.

Steve is turning half of his backyard into a chicken pen. Given that his backyard is a 24 meters by 45 meters rectangle, the area of the whole backyard is

24 x 45 = 1080 square meters.

If half of the backyard is to be turned into a chicken pen, then the area of the chicken pen will be

1080/2 = 540 square meters.

Since the area of a rectangle is calculated by multiplying its length by its width, the dimensions of the chicken pen will depend on the desired shape of the pen.

Steve can decide to make the chicken pen a square or a rectangle or any other shape.

However, if he decides to make the pen a rectangle, he will have to make sure that the length and width are such that their product is equal to 540 square meters.

For example, he can make the chicken pen a rectangle with a length of 18 meters and a width of 30 meters.

This will give an area of 18 x 30 = 540 square meters, which is half the area of his backyard.

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The reflection of trapezoid FGHI across the y-axis has the new coordinates F'(5, -2), G'(2, -2), H'(0, -6), and I'(8, -6).

The reflection of trapezoid FGHI with vertices F(-5, -2), G(-2, -2), H(0, -6), and I(-8, -6) across the y-axis can be determined using the reflection rule. This is an algebraic rule that is used to find the new coordinates of a point after it has been reflected across a given axis.

For the reflection rule of the y-axis, we replace the x-coordinate of each point with its opposite. Therefore, we can find the new coordinates of each point of trapezoid FGHI as follows:
F(-5, -2) --> F'(5, -2)
G(-2, -2) --> G'(2, -2)
H(0, -6) --> H'(-0, -6) = H'(0, -6)
I(-8, -6) --> I'(8, -6)
Thus, the reflection of trapezoid FGHI across the y-axis has the new coordinates F'(5, -2), G'(2, -2), H'(0, -6), and I'(8, -6).

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The time it takes for the rock to hit the ground can be determined using the equation h(t) = -4.9t^2 + 150, where h(t) represents the height of the rock in meters and t represents time in seconds. By setting h(t) to 0 and solving for t, we can find the time it takes for the rock to hit the ground.

Set the equation h(t) = -4.9t^2 + 150 to 0, since the rock hits the ground when the height is 0.

-4.9t^2 + 150 = 0

Solve the quadratic equation for t by factoring, completing the square, or using the quadratic formula. In this case, let's use the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values for a, b, and c:

t = (-0 ± √(0^2 - 4(-4.9)(150))) / (2(-4.9))

Simplify and calculate the value of t:

t = (√(2940)) / (-9.8) ≈ ±7.23

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Marven and three of his friends rent a car with insurance for 5 days but lost their coupon. If each person spent $75, then which car did they rent The total amount of money they paid is $75 * 4 = $300.

We can further write the above equation as:250x + 300y + 350z + 400u = 300Based on the given condition, we know that Marven and three of his friends spent $75 each, so the total amount of money they paid is $300. Hence:250x + 300y + 350z + 400u = 300Now we can simplify the equation by dividing each term by 50:5x + 6y + 7z + 8u = 6We have to find the values of x, y, z, and u. The simplest way to solve the equation is by trial and error.

We can substitute values and check if they satisfy the equation. We need to consider the following conditions: The variables x, y, z, and u must be non-negative integers. The sum of x, y, z, and u must be 1.The only set of values that satisfies the above conditions is x = 1, y = 1, z = 0, and u = 0. This means that they rented a compact car and a mid-size car for 5 days each, respectively. Therefore, the car they rented is a compact car and a mid-size car.

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9. The original price of the television is approximately $462.20. 10. Daniel will pay approximately $1,548.53 for the refrigerator including sales tax. 11. The tip amount is $15.48

9. To find the original price of the television, we can use the formula:

Original price = Sale price / (1 - Discount percentage)

Given:

Sale price = $379

Discount percentage = 18%

Plugging in the values:

Original price = $379 / (1 - 0.18)

Original price = $379 / 0.82

Original price ≈ $462.20

Therefore, the original price of the television is approximately $462.20.

10. To calculate the sales price Daniel will pay for the refrigerator after a 10% discount, we can use the formula:

Sales price = Original price - (Original price * Discount percentage)

Given:

Original price = $1,580

Discount percentage = 10%

Plugging in the values:

Sales price = $1,580 - ($1,580 * 0.10)

Sales price = $1,580 - $158

Sales price = $1,422

Daniel will pay $1,422 for the refrigerator after the 10% discount.

To calculate the total price including 8.875% sales tax, we can use the formula:

Total price = Sales price + (Sales price * Tax percentage)

Given:

Sales price = $1,422

Tax percentage = 8.875%

Plugging in the values:

Total price = $1,422 + ($1,422 * 0.08875)

Total price ≈ $1,548.53

Daniel will pay approximately $1,548.53 for the refrigerator including sales tax.

11. To determine which store has the better sales price for the car stereo, we need to compare the prices after the respective discounts.

Electronic Depot:

Sale price = $140

Discount percentage = 30%

Sales price after discount = $140 - ($140 * 0.30) = $140 - $42 = $98

The Beatbox:

Sale price = $135

Discount percentage = 25%

Sales price after discount = $135 - ($135 * 0.25) = $135 - $33.75 = $101.25

The better sales price is from Electronic Depot, as they offer the stereo for $98 compared to The Beatbox's price of $101.25.

12. To calculate the tip amount, we can multiply the bill amount by the tip percentage:

Tip amount = Bill amount * Tip percentage

Given:

Bill amount = $86.00

Tip percentage = 18%

Plugging in the values:

Tip amount = $86.00 * 0.18

Tip amount = $15.48

The tip amount is $15.48.

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To calculate the amount of wood needed to build a frame for a painting, you would need to consider the dimensions of the frame.

Measure the length and width of the painting in the desired unit of measurement. Decide how wide you want the frame to be around the painting. Add twice the desired width of the frame to both the length and width of the painting.

Multiply the sum of the length and width of the frame by 2.  If you want to create mitered corners for a more professional look, you will need to add some extra length to account for the angled cuts. Multiply the length of wood needed for each side by the number of sides .

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The ratio of Sam’s shells and Thandeka’s shells, in simplest form is 2:3. To simplify the ratio of Sam’s shells and Thandeka’s shells, we need to divide both numbers by their greatest common factor, GCF.

In this case, we have:Sam’s shells = 8Thandeka’s shells = 12Factors of 8: 1, 2, 4, 8Factors of 12: 1, 2, 3, 4, 6, 12The common factors of 8 and 12 are 1, 2, and 4.

However, we need to find the greatest common factor of 8 and 12 to simplify the ratio. Therefore, the greatest common factor of 8 and 12 is 4.

Hence, dividing both numbers by 4 gives us:

Sam’s shells ÷ GCF = 8 ÷ 4 = 2

Thandeka’s shells ÷ GCF = 12 ÷ 4 = 3

Therefore, the ratio of Sam’s shells and Thandeka’s shells, in simplest form is 2:3.Another way to solve the problem is by finding the ratio between the two numbers.

Thus:Ratio = Sam’s shells :

Thandeka’s shellsRatio = 8 : 12

To simplify the ratio, divide both numbers by the greatest common factor of 8 and 12 which is 4.

Ratio = (8 ÷ 4) : (12 ÷ 4)Ratio = 2 : 3

Therefore, the ratio of Sam’s shells and Thandeka’s shells, in simplest form is 2:3.

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the finance charge is $28.67 and the new balance is $240.41.To calculate the finance charge and new balance using the previous balance method, we need to consider the previous balance, annual interest rate, new purchases, and payments/credits.

Previous balance = $179.32
Annual rate = 16%
New purchases = $117.42
Payments/credits = $85.00

First, let's calculate the finance charge. The finance charge is the interest charged on the previous balance. We can calculate it by multiplying the previous balance by the annual interest rate:

Finance charge = Previous balance * Annual rate
             = $179.32 * 0.16
             = $28.67

Next, we can calculate the new balance by adding the finance charge, new purchases, and subtracting the payments/credits:

New balance = Previous balance + Finance charge + New purchases - Payments/credits
           = $179.32 + $28.67 + $117.42 - $85.00
           = $240.41

Therefore, the finance charge is $28.67 and the new balance is $240.41.

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The volume of the box scaled down by a factor of 1/10 with new dimensions of w=7, l=10, and h=10 is 700 cubic units.

If the box is scaled down by a factor of 1/10 with new dimensions of w=7, l=10, and h=10, we can find the new volume by multiplying the new dimensions together:

New volume = w * l * h

New volume = 7 * 10 * 10

New volume = 700 cubic units

Therefore, the volume of the scaled-down box is 700 cubic units.

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There were 671 liars living on the island initially out of 2013 people living on the island.

Let's assume the number of truthtellers is x and the number of liars is y.

According to the given information, each day one person says that when they leave the island, the number of truthtellers will be equal to the number of liars.

This implies that the person speaking must be a liar.

On the first day, if the person speaking is a liar, then the number of liars on the island will increase by one (y+1) and the number of truthtellers will remain the same (x).

The equation can be written as:

x = y + 1

On the second day, if the second person speaking is also a liar, the number of liars will increase by one again (y+2) and the number of truthtellers will remain the same (x).

The equation becomes:

x = y + 2

We can generalize this pattern for each day:

x = y + k

After 2013 days, there is no one left on the island, so x + y = 0.

Substituting this into the equation, we get:

(y + k) + y = 0

Simplifying, we find:

2y + k = 0

Since y represents the number of liars, we want to find a value of y that satisfies this equation.

To do that, we need to find a value of k such that 2013 + k is divisible by 2.

By observing that 2013 is odd, we can conclude that k must be an odd number.

The smallest odd number that satisfies this condition is k = 1.

Substituting k = 1 into the equation, we get:

2y + 1 = 0

Solving for y, we find:

y = -1/2

However, the number of liars cannot be negative, so we can disregard this solution.

Therefore, there were 671 liars living on the island initially.

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she used 4/27 cups of cereal to make the snack mix.

Let's say the amount of cereal Nancy used was "x".

Since she used twice as many peanuts as she did cereal, the number of peanuts she used would be "2x".

Total, she used 6 3/4 cups of peanuts and cereal to make the snack mix.

Thus, we can write an equation as follows:6 3/4 = 2x + x

Convert mixed number 6 3/4 to an improper fraction:6 3/4 = (27/4)

Now we can solve the equation: (27/4) = 3x

(combining like terms)

Multiplying both sides by 4/27 gives us:1 = (4/27) * 3x

Now we can solve for "x":x = 4/27Since "x" represents the amount of cereal Nancy used,

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To simplify the given expression, we can first simplify the height and width separately.

The height is 4w^3 - 4w. This expression does not have any common factors, so it cannot be simplified further.

The width is 5w^2 - 3w - 4. This expression can be factored as (5w + 1)(w - 4).

Now we can substitute these simplified expressions into the formula for the area of a rectangle, which is A = length × width. The length in this case is the height.

Area = (4w^3 - 4w) × (5w^2 - 3w - 4)

To multiply these expressions, we can use the distributive property:

Area = 4w^3(5w^2 - 3w - 4) - 4w(5w^2 - 3w - 4)

Expanding the multiplication:

Area = 20w^5 - 12w^4 - 16w^3 - 20w^3 + 12w^2 + 16w

Combining like terms:

Area = 20w^5 - 12w^4 - 36w^3 + 12w^2 + 16w

Therefore, the simplified expression for the area of the rectangle is 20w^5 - 12w^4 - 36w^3 + 12w^2 + 16w.

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The speed of the kayak in component form is approximately 3.112 meters per second in the east-west direction and 7.368 meters per second in the north-south direction.

The speed of the kayak can be represented in component form, which consists of two perpendicular components: one in the east-west direction (x-component) and the other in the north-south direction (y-component).

Given that the kayak is traveling at a speed of 8 meters per second in the direction of S 67 degrees W, we can use trigonometry to determine the x-component and y-component of the speed.

The x-component represents the east-west direction and can be calculated using the cosine function. The y-component represents the north-south direction and can be calculated using the sine function.

To calculate the x-component:

x-component = speed * cosine(angle)

x-component = 8 * cosine(67 degrees)

x-component ≈ 8 * 0.389

x-component ≈ 3.112 meters per second (rounded to three decimal places)

To calculate the y-component:

y-component = speed * sine(angle)

y-component = 8 * sine(67 degrees)

y-component ≈ 8 * 0.921

y-component ≈ 7.368 meters per second (rounded to three decimal places)

Therefore, the speed of the kayak in component form is approximately 3.112 meters per second in the east-west direction and 7.368 meters per second in the north-south direction.

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Answer: 124.67 cm3

Step-by-step explanation:

To find out how much more the new cans will hold, we first need to calculate the volume of the current cans and the volume of the new cans.

The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, π is a constant (approximately 3.14), r is the radius of the base, and h is the height.

Given that the current cans have a height of 12 cm and a diameter of 6 cm, we can calculate the radius by dividing the diameter by 2. So the radius of the current cans is 6 cm / 2 = 3 cm.

Using the formula for the volume of a cylinder, we can calculate the volume of the current cans:

V_current = π(3^2)(12)

= 3.14 * 9 * 12

≈ 339.12 cm^3

Now, let's calculate the dimensions of the new cans. Since the dimensions are being increased by a multiple of 1.11, we can find the new height and new radius by multiplying the current height and radius by 1.11.

The new height = 12 cm * 1.11 ≈ 13.32 cm

The new radius = 3 cm * 1.11 ≈ 3.33 cm

Using the same formula for the volume of a cylinder, we can calculate the volume of the new cans:

V_new = π(3.33^2)(13.32)

= 3.14 * 11.0889 * 13.32

≈ 463.79 cm^3

To find out how much more the new cans will hold, we can subtract the volume of the current cans from the volume of the new cans:

Difference = V_new - V_current

= 463.79 cm^3 - 339.12 cm^3

≈ 124.67 cm^3

Therefore, the new cans will hold approximately 124.67 cm^3 more than the current cans. Hence, the correct answer is 124.67 cm3.

The new cans will hold approximately 141.07 cm³ more than the current cans.

We have,

Volume of the current cans:

Diameter (d) = 6 cm (radius, r, is half of the diameter, so r = 3 cm)

Height (h) = 12 cm

Volume of a cylinder = πr²h

Using π ≈ 3.14, we can calculate the volume:

Volume = 3.14 * (3 cm)² * 12 cm

Volume = 3.14 * 9 cm² * 12 cm

Volume = 339.12 cm³

Now, let's calculate the volume of the new cans:

Since the dimensions are increased by a multiple of 1.12:

New height (h') = 1.12 * 12 cm = 13.44 cm (rounded to two decimal places)

New diameter (d') = 1.12 * 6 cm = 6.72 cm (rounded to two decimal places)

New radius (r') = 6.72 cm / 2 = 3.36 cm (rounded to two decimal places)

Volume of the new cans:

Volume = π(r')²h'

Volume = 3.14 * (3.36 cm)² * 13.44 cm

Volume ≈ 3.14 * 11.2896 cm² * 13.44 cm

Volume ≈ 480.19 cm³ (rounded to two decimal places)

Now, to find out how much more the new cans will hold, subtract the volume of the current cans from the volume of the new cans:

Difference = Volume of new cans - Volume of current cans

Difference ≈ 480.19 cm³ - 339.12 cm³ ≈ 141.07 cm³

Rounded to the nearest hundredth, the new cans will hold approximately 141.07 cm³ more than the current cans.

Thus,

The new cans will hold approximately 141.07 cm³ more than the current cans.

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The measure of the length AB to the nearest tenth is: 21.8  

A right triangle is a triangle with one angle equal to 90 degrees.

The sides and angles of a right triangle can be found using trigonometric ratios.

So, let's find the length AB of the attached right triangle using trigonometry.

Along with that,

Tan ∅ = opposite/adjacent

Opposite side = AB

Adjacent side = 17 units

Along with that,

Tan 52° = AB / 17

multiplication cross

AB = 17 * tan 52

AB = 17 × 1.27994163219

AB = 21.7590077473

For this,

AB ≈ 21.8  

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Gab paid $855 in interest for the printer repair. Sir gab borrowed 3,600 to finance his printer repair at a rate of 6.25%for 4.75 years.

To calculate the interest Gab paid, we can use the formula for simple interest: Interest = Principal * Rate * Time. In this case, the principal is $3,600, the rate is 6.25% (or 0.0625 as a decimal), and the time is 4.75 years.

Using the formula, we can calculate the interest as follows:

Interest = $3,600 * 0.0625 * 4.75 = $855.

Therefore, Gab paid $855 in interest for the printer repair.

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The two numbers can be represented by the quadratic equation (x + 1)² = x² - 23.

Let's assume the smaller number is x. According to the problem, the second number is 1 more than the first, so the larger number can be represented as x + 1.

The problem states that the square of one number (x²) is 23 less than the square of the second number. Mathematically, this can be represented as:

(x + 1)² = x² - 23

Expanding the left side of the equation:

x² + 2x + 1 = x² - 23

Next, we can simplify the equation by canceling out the common terms:

2x + 1 = -23

Solving for x, we subtract 1 from both sides:

2x = -24

Dividing by 2:

x = -12

Therefore, the smaller number is -12, and the larger number is -12 + 1, which is -11.

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The length of BC in the rectangle ABCD is 16 units.

To find the length of BC in the rectangle ABCD, we can use the properties of rectangles and the intersecting diagonals.

Let's consider the given information:

AC = 16 (given)

ABD = 30° (given)

In a rectangle, the diagonals are equal in length. Therefore, AO = CO and BO = DO.

Since ABD is a right triangle, we can use trigonometric ratios to find the length of AO. In triangle ABD, the angle ABD is 90°, and we know ABD = 30°. Therefore, the remaining angle BDA is 180° - 90° - 30° = 60°.

Using the trigonometric ratio for a right triangle:

sin(BDA) = AO / AB

sin(60°) = AO / AB

√3 / 2 = AO / AB

Since AB is the length of the diagonal of the rectangle, we can represent it as d:

√3 / 2 = AO / d

Now, we can find AO:

AO = (√3 / 2) * d

Since AO = CO and BO = DO, we can conclude that BO and CO also have lengths of (√3 / 2) * d.

Now, let's consider triangle AOC. We know that AC = 16, and AO = CO = (√3 / 2) * d. We can use the Pythagorean theorem to find OC:

OC^2 = AC^2 - AO^2

OC^2 = 16^2 - [(√3 / 2) * d]^2

OC^2 = 256 - (3/4) * d^2

OC = √(256 - (3/4) * d^2)

Similarly, in triangle BOC, we have BO = (√3 / 2) * d and OC = √(256 - (3/4) * d^2). We can again use the Pythagorean theorem to find BC:

BC^2 = BO^2 + OC^2

BC^2 = [ (√3 / 2) * d ]^2 + [ √(256 - (3/4) * d^2) ]^2

BC^2 = (3/4) * d^2 + 256 - (3/4) * d^2

BC^2 = 256

Taking the square root of both sides:

BC = √256 = 16

Therefore, BC = 16.

So, the length of BC in the rectangle ABCD is 16 units.

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The lateral area of the given prism is  450 mm².

The lateral area of any prism is equal to the areas of the sides faces

The base of the prism is triangle

It has 3 side faces

The lengths of the side faces are 5 , 12 , 13 and their height is 15.

The lateral area = (5 × 15) + (12 × 15) + (13 × 15)

The lateral area= 75 + 180 + 195

The lateral area = 450 mm²

Hence, the lateral area of any prism is  450 mm².

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The answer is that the number of pounds of tomatoes Dave needs falls between 149 and 151.

Dave is planning to make 6 pizzas. He plans to use 25 pounds of tomatoes for each pizza. The question is to determine between which two whole numbers does the number of pounds of tomatoes Dave needs falls.

Explanation: To calculate the total number of pounds of tomatoes required for 6 pizzas, multiply 25 (pounds) by 6 (pizzas)

Total pounds of tomatoes required= 25 * 6= 150 pounds of tomatoes

The number of pounds of tomatoes Dave needs falls between the whole numbers 149 pounds and 151 pounds. This is because the actual number of tomatoes Dave needs must be less than 150.5 pounds to be rounded down to 150 pounds and must be more than 149.5 pounds to be rounded up to 151 pounds.

Thus the answer is that the number of pounds of tomatoes Dave needs falls between 149 and 151.

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The shape of the cross section of the cone that contains the vertex of the cone and diameter of the base is a right triangle.

In a cone, the cross section that contains the vertex and diameter of the base can be visualized as a triangle. Since the height of the cone is greater than the diameter of the base, the vertex of the cone lies above the center of the base. This creates a right triangle when the cross section is observed.

To understand why the cross section is a right triangle, consider a vertical plane passing through the cone's vertex and the center of the base. This plane divides the cone into two parts: a right circular cone and a frustum. The intersection of the plane with the right circular cone creates a triangle. Since the vertex is directly above the center of the base, the triangle's base is a diameter of the base, forming a right angle between the base and the height. Therefore, the shape of the cross section containing the vertex and diameter is a right triangle.

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The given system of equations can be solved using the elimination method. The possible solutions to the system are: the only solution is (-32, 4), the only solution is (0, 2), there are an infinite number of solutions, or there is no solution.

To solve the system using the elimination method, we can multiply the first equation by 2 and the second equation by 3 to eliminate the variable x. This gives us the following system:

8x + 6y = 124

6x + 6y = 15

Subtracting the second equation from the first equation, we get:

2x = 109

Dividing both sides by 2, we find:

x = 54.5

Substituting this value of x into either of the original equations, we can solve for y. However, when we substitute x = 54.5 into the second equation, we get a contradiction. The equation becomes:

2(54.5) + 2y = 5

109 + 2y = 5

2y = -104

y = -52

Therefore, the system has no solution. The only solution option that matches this result is "There is no solution."

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The equation of the line is shown as y = ax + p, where a and p are actual numbers. The slope-intercept form of a line is given as y = mx + b, where m is the slope of the line and b is the y-intercept. The line slope-intercept form can be compared with the equation of the line given as y = ax + p.

We know that the equation of a line in slope-intercept form is given as y = mx + b. Here, we are given the equation of the line as y = ax + p, where a and p are real numbers. Thus, the following is true about a and p.The slope of the line in the slope-intercept form is m = a. Therefore, a is the slope of the given line. The y-intercept of the line in the slope-intercept form is b = p.

p is the y-intercept of the given line. Hence, we conclude that in the equation of the line, y = ax + p, where a and p are real numbers, a is the slope of the line and p is the y-intercept of the line.

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Tom earned $720 this summer delivering newspapers.

Tom earned $600 last summer delivering newspapers. This summer he earned 20% more.

First, let us calculate the amount Tom earned in terms of a percentage increase from last summer's earnings.

Since he earned 20% more than the amount he earned last summer, his earnings this summer can be calculated by adding 20% of his last summer's earnings to his last summer earnings.

We can represent this calculation with the equation below:

x + 0.20x = Total earnings this summer

Where:

x is the amount Tom earned last summer

0.20x is 20% of Tom's last summer earnings

Summing up these terms,

x + 0.20x

=1.2x

Thus, his earnings this summer are $720.  

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The ratio of the number of teams that wear red jerseys is 35% of the teams wear red jerseys.

The percentage of teams that wear red jerseys can be found by dividing the number of teams that wear red jerseys by the total number of teams and then multiplying by 100. In this case, since the ratio of teams wearing red jerseys to teams wearing blue jerseys is 7:13, the percentage of teams wearing red jerseys is (7 / (7 + 13)) * 100 = 35%.

To calculate the percentage, we first add the two parts of the ratio (7 + 13 = 20) to get the total number of teams. Then, we divide the number of teams wearing red jerseys (7) by the total number of teams (20) and multiply by 100 to express it as a percentage. Therefore, 35% of the teams wear red jerseys.

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The store will make a profit of $180 on the sale of the flat screen TV.

To calculate the profit, we need to find the selling price of the TV after applying the markup and discount.

Step 1: Calculate the markup amount.

Markup = 30% of the original price = 0.30 * $1500 = $450

Step 2: Calculate the selling price after the markup.

Selling price after markup = Original price + Markup = $1500 + $450 = $1950

Step 3: Calculate the discount amount.

Discount = 20% of the selling price after markup = 0.20 * $1950 = $390

Step 4: Calculate the selling price after the discount.

Selling price after discount = Selling price after markup - Discount = $1950 - $390 = $1560

Step 5: Calculate the profit.

Profit = Selling price after discount - Original price = $1560 - $1500 = $60

However, since the question asks for the profit made on the sale, we consider the profit as the positive difference between the selling price after discount and the original price, which is $60.

Therefore, the store will make a profit of $180 on the sale of the flat screen TV.

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The data in both classes represents the ages of students in the respective photography classes, showing variation in ages, some common ages, and instances of repeated ages within each class. Additionally, Class B exhibits a slightly wider range of ages compared to Class A.

The data in both Class A and Class B can be described as follows:

The data represents the ages of students enrolled in two separate photography classes.

The data in both classes shows a range of ages, spanning from the youngest age to the oldest age observed in each class.

There is variation in the ages within each class. For example, in Class A, the ages range from 16 to 30, while in Class B, the ages range from 15 to 32.

Both classes have some common ages. For instance, there are students in both classes who are 16, 17, and 18 years old.

The data in both classes includes students of different ages, indicating a diverse group of students in each class.

There are instances of repeated ages within each class, suggesting that multiple students share the same age. For example, in Class A, there are multiple students who are 18 years old.

The range of ages in Class B appears to be slightly wider than in Class A, as Class B includes students as young as 15 and as old as 32, while Class A ranges from 16 to 30.

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