The price of 7 citrons and 9 fragrant wood apples is 135 units. The price of 9 citrons and 7 fragrant wood apples is 137 units. Find the price of a citron and the price of a wood apple.

The price of a citron is :

The price of a wood apple is :

Answer:

Point B is 4 units to the right and 2 units down

Step-by-step explanation:

Since our x is positive, we are going to the right of the x-axis (where positive values lay).

Since our y is negative, we are going down in the y-axis (where negative values lay).

1. Cost is proportional to Area includes;

-Carpeting that cost $22 for every 3 square yard

-Cost ($) and Area (ft^2) table

-Mulch that cost a set amount to cover a square foot

2.    Cost is not proportional to Area;

- Linear graph

-  Asphalt sealant that is quoted at a set price per square foot, plus a labor fee

3. Not enough information

- A wood deck quoted at a bulk cost for 25 square feet.

The Linear graph is not proportional to the area looking at the coordinates that has been provided. The cost to the yard area does not have a consistent progression. By this, $1,600 should cove 60 yd² instead of 80

The above answer is based on the information provided in the picture as seen below;

Drag each object to show whether cost is proportional to area in the situation represented.

Cost is proportional to Area       Cost is not proportional to Area               Not enough information

a. A wood deck quoted at a bulk cost for 25 square feet.

d. Asphalt sealant That is quoted at a set price per square foot, plus a labor fee.

c. Carpeting that cost $22 for every 3 square yard

d. Mulch that cost a set amount to cover a square foot

e.   Cost ($)                 Area (ft^2)

       500                        400

       750                         600

     1000                        800

f. A cost ($) and area (yd^2) that has coordinates (0, 0), (20, 1200) (80, 1600)

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The area of the triangle is equal to 1337 square feet. (Correct choice: A)

In this problem we must determine the area of the triangle given the lengths of all sides, this can be done by using Heron's formula:

A = √[s · (s - a) · (s - b) · (s - c)]

s = 0.5 · (a + b + c)

Where:

If we know that a = 47 ft, b = 59 ft and c = 65 ft, then the area of the triangle is:

s = 0.5 · (47 ft + 59 ft + 65 ft)

s = 85.5 ft

A = √[(85.5 ft) · (85.5 ft - 47 ft) · (85.5 ft - 59 ft) · (85.5 ft - 65 ft)]

A = 1337.252 ft²

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Answer:

[tex]28 + y + 36 = 180[/tex]

[tex]64 + y = 180[/tex]

[tex]y = 116[/tex]

Answer:

5.45

Step-by-step explanation:

literally do 10.9/2

Answer:Transpolar Drift Stream y el anticiclónico Beaufort Gyre

Step-by-step explanation:

The  scale factor of the dilation is 30:1.

We have,

A superhero action figure has a volume of 1500 cm³.

The volume of the dilated figure is 45,000 cm³

Now, the scale factor should be

= 45000/ 1500

= 30 /1

Thus, the scale factor of the dilation is 30:1.

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The list of the outcomes in a sample space and the number of times each outcomes occurs is a frequency table

Given data ,

The outcomes in a sample space and the frequency with which each event happens are displayed in a frequency table, which is a tabular representation of data.

It shows the frequency or count of each result, which makes the data distribution easier to see. In statistics and probability, frequency tables are frequently used to compile and analyze data from experiments, surveys, or other data-generating activities.

Hence , the solution is frequency table

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Answer:

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. Hence, we use this formula to solve for the missing length:

c^2 = a^2 + b^2

Plugging in the given values, we get:

c^2 = 12^2 + 12^2 c^2 = 144 + 144 c^2 = 288 c ≈ √288

Rounding √288 to the nearest ten gives 17. Therefore, the missing length is approximately 17.

Hence, c ≈ 17 is the answer.

Step-by-step explanation:

We can see that the triangle has two equal angles, then it is an isosceles triangle.

Here we have a triangle where we know that the interior angles are:

x°, 4x°, and 4x°

remember that the sum of the interior angles of any triangle is 180°, then we can write the linear equation:

x + 4x + 4x = 180

Solving that for x we will get:

9x = 180

x = 180/9

x = 30

Then the angles are:

x° = 20°

4x° = 80°

4x° = 80°

We can see that we have two equal angles, then the triangle is an isosceles triangle.

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The seller will owe the buyer an amount of $2,933.40.

To be able to compute the owed amount, first, we have to compute the daily rate per day which is shown below:

= Rent received / number of days in a month

= $4,400 / 30 days

= 146.67 per day

Data:

Number of days in a month = 30 days

Landlord received a rent on December 10

The remaining days would be =  30 days - 10 days = 20 days

Now, the owed amount would be calculated as:

= Remaining days × per day rate

= 20 days × 146.67

= $2,933.40

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Answer:

Step-by-step explanation:

7x+2.50y=600

a) The range of years centered about the mean in which about 68% of the data in between 1291 or 1213.

b) The range of years centered about the mean in which about 95% of the data in between 1330 or 1174.

c) The range of years centered about the mean in which about 95% of the data in between 1369 or 1135.

We have,

Mean= 1252

Standard deviation= 39

a) The range of years centered about the mean in which about 68% of the data

= 1252 ±39

= 1252 + 39 or 1252 -39

= 1291 or 1213

b) The range of years centered about the mean in which about 95% of the data

= 1252 ± 2(39)

= 1252 + 78 or 1252- 78

= 1330 or 1174

c) The range of years centered about the mean in which about 95% of the data

= 1252 ± 3(39)

= 1252 + 117 or 1252- 117

= 1369 or 1135

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Answer:

x = 6 feet

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 8² = 10²

x² + 64 = 100 ( subtract 64 from both sides )

x² = 36 ( take square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6 feet

Gus will need to fill the bucket 3 times to completely fill the fish tank, assuming he doesn't spill any water.

To find how many times Gus will need to fill the bucket to completely fill the fish tank, we first need to calculate the volume of the bucket. The formula for the volume of a cylinder is:

V = πr²h

where V is the volume, r is the radius, and h is the height.

Substituting the given values into the formula gives:

V = 3.14 x 5² x 20

V = 3.14 x 25 x 20

V = 1570 inches³

Therefore, each time Gus fills the bucket, he will add 1570 inches³ of water to the fish tank. To calculate how many times he needs to fill the bucket to fill the entire fish tank, we can divide the total volume of the fish tank by the volume of the bucket:

4710 / 1570 = 3

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Complete question is:

Gus has a fish tank that holds 4710 inches³ of water. He is using a cylinder shaped bucket with a radius of 5 inches and a height of 20 inches to fill the tank. How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn't spill a drop?

Answer: the answer is 48 or b

Step-by-step explanation:

Heron's formula states that the area (A) of a triangle with side lengths a, b, and c is given by:

A = √(s(s-a)(s-b)(s-c))

where s is the semiperimeter, which is half the perimeter of the triangle:

s = (a + b + c) / 2

In this case, the side lengths are a = 9, b = 12, and c = 18. Therefore, the semiperimeter is:

s = (9 + 12 + 18) / 2 = 39 / 2

Using Heron's formula, we can now calculate the area of the triangle:

The value of total weight of the fish Nicholas and his father caught, in pounds is,

⇒ 87/4 pounds

We have to given that;

Nicholas caught a fish that weighed 14 1/2 pounds.

And, His father caught a fish that weighed half as much as the fish Nicholas caught.

Hence, The weight of fish caught  by his father is,

⇒ 14 1/2 ÷ 2

⇒ 29/2 × 1/2

⇒ 29/4

Thus, The value of total weight of the fish Nicholas and his father caught, in pounds is,

⇒ 14 1/2 + 29/4

⇒ 29/2 + 29/4

⇒ 58/4 + 29/4

⇒ 87/4 pounds

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Answer:

88

Step-by-step explanation:

The distance traveled by a rider on a Ferris wheel can be calculated by finding the circumference of the wheel and then multiplying it by the number of complete laps.

The formula for the circumference of a circle is:

C = πd

where C is the circumference, d is the diameter, and π is a constant approximately equal to 3.14.

In this case, the diameter of the Ferris wheel is 14 meters, so the radius (half the diameter) is 7 meters.

C = πd = π(14) = 43.9823 meters (rounded to 4 decimal places)

To find the distance traveled after 2 complete laps, we need to multiply the circumference by 2:

distance = 2C = 2(43.9823) = 87.9646 meters

Rounding to the nearest meter, the distance traveled by a rider after 2 complete laps is 88 meters.

If it has 2 complex zeros, then it must have 2 real zeros.

Remember that the number of zeros that a polynomial of degree N has is also N.

For example in functions like:

f(x) = x^N

We can say that the zero x = 0 has a multiplicity of N, so we have N equal zeros.

Then a polynomial of degree 4 has 4 zeros, if two are complex, then the other two are real zeros.

So we conclude that the answer is 2.

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The value of sin A using trigonometric ratios is: 12/13

There are three main trigonometric ratios in right angle triangles and they are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

We want to find sin A and as such using trigonometric ratios on the attached right angle triangle, we have:

sin A = 12/13

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Answer:

tanx

Step-by-step explanation:

Answer:

Area = 7 7/18 or 39/2 square units

Step-by-step explanation:

To find the area of a rectangle, you need to multiply its length by its width.

Given:

Length = 1 5/6

Width = 4 1/3

Convert mixed numbers to improper fractions:

Length = (6 + 5) / 6 = 11/6

Width = (3 x 4 + 1) / 3 = 13/3

Area = Length x Width

Area = (11/6) x (13/3)

Area = (143/18)

Simplify the result to mixed number or improper fraction:

Area = 7 7/18 or 39/2 square units (if we want the answer in fraction form)

The side x of the triangular base prism is 0.4 centimetres.

The diagram above is a triangular prism. The triangular base of the prism is a right triangle. Therefore, the unknown side x can be found using Pythagoras's theorem,

c²= a² + b²

where

Therefore,

x² = 0.5² - 0.3²

x² = 0.25 - 0.09

x = √0.16

x = 0.4 cm

Therefore,

x = 0.4 centimetres.

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it will take approximately 6.8 minutes until there are 50 grams of the element remaining.

We can use exponential decay formula to solve this problem:

A = A₀ ×e²(-rt)

where A is the amount of the element remaining, A₀ is the initial amount, r is the decay rate (as a decimal), t is the time elapsed.

We know that the initial mass of the element is 640 grams, the decay rate is 19.3% per minute, and we want to find the time it takes for there to be 50 grams of the element remaining. So we can write:

50 = 640 ×e²(-0.193t)

Dividing both sides by 640, we get:

0.078125 = e²(-0.193t)

Taking the natural logarithm of both sides, we get:

ln(0.078125) = -0.193t

Solving for t, we get:

t = ln(0.078125) / (-0.193)

t ≈ 6.8 minutes

Therefore, it will take approximately 6.8 minutes until there are 50 grams of the element remaining.

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Answer:

Please mark me the brainliest

Let's denote the time in minutes by t, and the mass of the element at time t by m(t). Then we can write an exponential decay equation:

m(t) = m(0) * (1 - r)^t

where m(0) is the initial mass of the element, r is the decay rate as a decimal (19.3% = 0.193), and t is the time in minutes.

We know that the initial mass is m(0) = 640 grams, and we want to find the time t when the mass has decreased to 50 grams. So we can set up the following equation:

50 = 640 * (1 - 0.193)^t

Simplifying:

0.07796875 = 0.807^t

Taking the natural logarithm of both sides:

ln(0.07796875) = ln(0.807^t)

Using the property of logarithms that ln(a^b) = b * ln(a):

ln(0.07796875) = t * ln(0.807)

Dividing both sides by ln(0.807):

t = ln(0.07796875) / ln(0.807)

Using a calculator, we get:

t ≈ 24.9

Therefore, to the nearest tenth of a minute, it will take 24.9 minutes until there are 50 grams of the element remaining.

Step-by-step explanation:

The point on the number line that is 7/9 of the way from -3.6 to 10 is approximately 6.97777777778.

To find the point on the number line that is 7/9 of the way from -3.6 to 10, we can use the following formula:

Point = Starting point + (Fraction of distance) x (Total distance)

In this case, the starting point is -3.6, the total distance is the distance from -3.6 to 10 (which is 10 - (-3.6) = 13.6), and the fraction of distance is 7/9.

Plugging in these values, we get:

Point = -3.6 + (7/9) x (13.6)

Simplifying,

Point = -3.6 + (7/9) x (13.6)

Point = -3.6 + 9.9556

Point = 6.97777777778

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Answer:

A,C,E

Step-by-step explanation:

Answer:

a and c and e

Step-by-step explanation:

got it right on my home work

The value of x satisfies the equation is 4

Index forms are described as mathematical forms that are used to represent numbers or values that are too large or small in more convenient ways.

From the information given, we have that;

(7q³ˣ)³ = 343q³⁶

expand the bracket for the values

7³. q⁹ˣ = 343q³⁶

Now find the common exponents, we have;

7³. q⁹ˣ= 7³. q³⁶

Divide the values, we have;

q⁹ˣ = q³⁶

Equate the exponents, we get;

9x = 36

Divide both sides by the coefficient of x, we get

9x/9 = 36/9

Divide the values

x = 4

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Answer:

Step-by-step explanation:

30% of the pennies in the roll were made before 1985.

To find the percentage of pennies made before 1985, we need to divide the number of pennies made before 1985 by the total number of pennies and then multiply by 100 to convert the answer into a percentage.

Number of pennies made before 1985 = 15

Total number of pennies = 50

Percentage of pennies made before 1985

= (15/50) x 100%

= 30%

Therefore, 30% of the pennies in the roll were made before 1985.

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