Tom, Mary and Bill are aged 10,12 and 15 years respectively. They share 259 euros in the same ratio as their ages. Find how much one receives.

Find the scale using the two bases:

9/12 = 3/4

The smaller triangle is 3/4 of the larger one.

Multiply the known side by 3/4

X = 8 x 3/4 = 6

X= 6

Answer:

Step-by-step explanation:

1. 9  4  5  2  3  5  .  3  2  1  

Ones : 5

Tens : 3

Hundreds : 2

Thousands : 5

Ten Thousands : 4

Hundred Thousands : 9

Tenths : 3

Hundredths : 2

Thousandths : 1

2.  5  6  9  3  4  3  5  .  1  2  3  

Ones : 5

Tens : 3

Hundreds : 4

Thousands : 3

Ten Thousands : 9

Hundred Thousands : 6

Million : 5

Tenths : 1

Hundredths : 2

Thousandths : 3

Answer:

D. 4 units to the left

The transformation of the function will be 4 units to the left. The correct option is D.

A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They've simply shifted in one or more directions.

Given that the functions are f(x) = x³ and g(x) = ( x + 4 )³. The translation of the function will be at 4 units to the left.

When the functions are plotted on the graph the translation is seen to the left of the origin at the coordinate (-4,0).

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b.

To determine how many accounts will minimize the long run average cost.

Given the function;

We need to plot a graph of the function and identify the lowest point on the graph ( since we are minimizing).

Above is a section of the graph of the function.

The lowest point on the graph is at;

Therefore, the number of accounts that will minimize the long run average cost is 24 accounts.

Also, the minimum long run average cost is 0

c.

We want to determine whether the territories should be merged together.

To do this we will check their average long run cost when they merge and compare to their average long run cost when they are separate;

When the merge, the total number of accounts is;

So, the long run average cost is;

When they are separate, as calculated in a.

the long run average cost for both is;

So, since the long run average cost for when they merge is greater that the total long run average cost when the are separate, then they should not merge the two territories because merging the two territories increases the long run average cost. And we all know the aim is to always try to reduce cost.

Therefore, they should not merge

Answer:

\(8\frac{14}{15}\)

Decimal form: \(8.933333\)

Step-by-step explanation:

\(2 \frac{1}{3}+6\frac{3}{5}\)

To solve, you will need to add.

First, add the whole number together.

\(2+6=8\)

\(\frac{1}{3}+\frac{3}{5} \\=14/15\)

So now add everything together(the whole number and fraction).

\(8+\frac{14}{15}=8\frac{14}{15} (Answer)\)

Hope this helps!

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same. The formula for this property can be expressed in real numbers a, b and c. If a × c = b × c.

Property of Equality:

The equivalence property describes the relationship between two equal quantities. If you apply a math operation to one side of the equation, you must also apply it to the other side of the equation to maintain balance.

That is, a property that does not change the truth value of an equation or does not affect the equivalence of two or more quantities is called an equality property. These equality properties help solve various algebraic equations and define equivalence or equilibrium relationships.

Multiplicative Property of Equality:

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same.

The formula for this property can be expressed as for the real numbers a, b, and c.

If a × b, then, a × c = b × c.

In algebra, the multiplicative property of an equation helps extract unknown terms from an equation. Because multiplication and division are opposites of each other.

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Answer:

Pentagon

Step-by-step explanation:

Hope this helps!! :D

Answer:

5=4x+13

4x+13=5

4x=5-13

4x= -8

x = -8÷4

x = -2

# be careful£

Answer: 360

Step-by-step explanation:

done

Answer:

50mm

Hope that helps!

Step-by-step explanation:

The height of the image formed by the concave mirror is equal -8 cm.

To determine the height of the image formed by the concave mirror, we can use the mirror equation:

1/f = 1/d_o + 1/d_i

Where f is the focal length, d_o is the object distance (distance of the candle from the mirror), and d_i is the image distance (distance of the image from the mirror).

In this case, the focal length (f) is given as 5 cm, and the object distance (d_o) is 15 cm. Plugging these values into the mirror equation, we can solve for d_i:

1/5 = 1/15 + 1/d_i

Simplifying the equation, we find:

1/d_i = 1/5 - 1/15 = 1/15

Taking the reciprocal of both sides, we get:

d_i = 15 cm

Since the height of the image is related to the height of the object by the equation:

height_of_image / height_of_object = -d_i / d_o

Plugging in the values, we have:

height_of_image / 8 cm = -15 cm / 15 cm = -1

Solving for the height of the image, we find:

height_of_image = -8 cm

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Answer:

Here are six equivalent expressions to 12x - 6:

6(2x - 1)

3(4x - 2)

2(6x - 3)

1(12x - 6)

4(3x - 1)

(12x - 6) + 0

These expressions are all equivalent to 12x - 6 because they all have the same value, regardless of the value of x. This is because the terms on the right side of the equation cancel out, leaving only the constant value on the left side. For example, in the first expression, 6(2x - 1), the 2x and -1 terms cancel out, leaving only 6. This is the same for the other expressions listed above.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here are six equivalent expressions to the given expression:

Note that in each of the above expressions, the value of 12x - 6 is preserved, but the terms and the order of operations may be different. For example, in the second expression, the subtraction has been expressed as addition with a negative number, and in the fourth and sixth expressions, the subtraction has been expressed as multiplication with a fraction.

Answer:

i just realy need points

Step-by-step explanation:

Answer:

11.66 meters

Step-by-step explanation:

First draw a diagram. See attachment.

We notice that if we draw everything out, we get a right triangle.

The flag pole and its shadow are the two legs, with lengths 10 and 6 meters. We want to find the distance from the top of the pole to the end of the shadow, so we need to use the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:

a² + b² = c²

Here, a = 10 and b = 6, and we want to find c:

a² + b² = c²

10² + 6² = c²

100 + 36 = c²

136 = c²

c = √136 = 2√34 ≈ 11.66 meters

~ an aesthetics lover

Answer:

11.7

Step-by-step explanation:

A solution of 150 h is administered at a rate of 8 ml / hr.

We express the answer in terms of mg/hr m g / h r

90 mg dopamine / 20 ml = 4.5 mg/ml

4.5 mg/ml * 8 ml/h = 36 mg/h

90 mg * 1 h / 36 mg= 150 h to administer -- using the inverse of 90 mg per 1 hour and cancelling mg in numerator and ml denominator.

Hence, 150 h is administered at a rate of 8 ml / hr.

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Answer:

answer by your own

Step-by-step explanation:lol

Answer:

D.

Step-by-step explanation:

The first step is to subtract 2 on both sides, so

3(y - 5) + 2 - 2 = 5 - 2

3(y - 5) = 3

Next, multiply by or distribute the 3 on the left side.

3y - 15 = 3

Then, add 15 on both sides.

3y - 15 + 15 = 3 + 15

3y = 18

Finally, divide by 3 on both sides.

3y/3 = 18/3

y = 6

Answer:

-6.25

Step-by-step explanation:

The answer is -6.25.

Answer:

y = 10

Step-by-step explanation:

100 square root is 10

so 10² = 100

Answer:

y=10

Step-by-step explanation:

y is squared so to get y by itself you have to take the square root of each side and you get y=10

Answer:

Equation: 2 x 8 = 16

Step-by-step explanation:

1.8 ≈ 2

8 ≈ 8

2 x 8 = L

L = 16

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

To find the coordinates of the centroid for the region bounded by the curves y=16x, y=9/x, y=0, and x=10, we need to calculate the x-coordinate and y-coordinate of the centroid separately. First, let's find the x-coordinate of the centroid.

We can use the formula: x-bar = (1/A) ∫[a,b] xf(x) dx, where A is the area of the region. The intersection points of the curves y=16x and y=9/x can be found by setting the equations equal to each other: 16x=9/x.

Solving this equation, we get x=±√(9/16)=±3/4. Since the region is bounded by x=10, we take the positive value x=3/4. To find the area A, we integrate the difference between the curves: A=∫[3/4,10] (16x-9/x) dx. Evaluating this integral, we find A=400-9ln(10).

Now we can calculate the x-coordinate of the centroid: x-bar=(1/A) ∫[3/4,10] x(16x-9/x) dx. Simplifying the integral and evaluating it, we get x-bar=(8160-36ln(10))/(400-9ln(10)). Next, let's find the y-coordinate of the centroid.

Since the region is symmetric about the x-axis, the y-coordinate of the centroid will be y-bar=0. Therefore, the exact coordinates of the centroid for the given region are: (x-bar, y-bar)=((8160-36ln(10))/(400-9ln(10)), 0).

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Answer:

82

Step-by-step explanation:

divide this shape into a triangle and rectangle and use 24 as the base of the triangle using the Pythagoras theorem you get that the perpendicular is 7 and since 13 is also parallel to that side, 13+7=20 so one side equals 20 one side equals 25 one side equals 24 and one side equals 13 now add all of these to get 82

Step-by-step explanation:

See image below ..... perimeter = 25 + 13 + 24 + 13 + x

  x is found using pythagorean theorem for right triangles

x = 7 units

total perimeter is then 82 units

Answer:

3(d - 1)

Step-by-step explanation:

You can factor 3 out from the expression to get 3(d - 1).

Hope this helps :)

Answer:

3(d- 1) = 3d - 3 as factor or  we an re-arrange  to show another  -3 + 3d    so  3(d-1) =3d-3 if asked to rearrange

Step-by-step explanation:   3d -3 = 3(d-3 )An equation states that two expressions are equal in value      But if asked to re-arrange then we would show that 3d-3 = -3 + 3d  as we we remove the bracket and we would re-arrange

When we use the Associative Property to write an expression equivalent to (w+9)+3 we simply place the number outside of the bracket infront of the bracket and multiply by a number that divides cleanly into it so that 3(d-1) = 3d - 3

The mean of the population is 46 and standard deviation of the population is 4.

The mean of the sampling distribution of the sample mean will always be the same as the mean of the original non-normal distribution. In other words, the sample mean is equal to the population mean. Based on the information provided, the population mean is 46 minutes same as the mean of sample.

The standard deviation of the sampling distribution of means is equal to the standard deviation of the population divided by the square root of the sample size. Hence, standard deviation of the sampling distribution is equal to the population standard deviation divided by the square root of the same size. Standard deviation 0.4 minutes and sample size is 100, hence standard deviation = 0.4/√100 = 0.4/10 = 4.

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The simplified version of the fraction is 6

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Let numerator = N and denominator = D.

According to the first statement,

N = (D x 5) + 4.

According to the second statement, N / 2 = 3 * D.

Let's multiply the second equation by –2 and add it the first equation:

–N = –6D

+[N = (D x 5) + 4]

= –6D + (D x 5) + 4 = 0

–1D + 4 = 0

D = 4

Thus, N = 24.

Therefore, N/D = 24/4 = 6.

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The given question is appropriate, Similar question is :

The numerator of a fraction is the sum of 4 and 5 times the denominator. If you divide the fraction by 2, the numerator is 3 times the denominator. Find the simplified version of the fraction.

The relationships between the numerator and denominator coefficients of a circuit and the values of resistance (R), inductance (L), and capacitance (C) depend on the specific circuit configuration and the transfer function associated with it.

In general, the numerator coefficients of the transfer function represent the output variables of the circuit, while the denominator coefficients represent the input variables. The coefficients are determined by the circuit elements (R, L, C) and their interconnections.

For example, in a simple RC circuit (resistor and capacitor), the transfer function can be written as a ratio of polynomials in the Laplace domain. The denominator coefficients correspond to the characteristic equation of the circuit and involve the resistance and capacitance values. The numerator coefficients may be related to the initial conditions or external inputs.

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The polynomials are in standard form is x2 + 3x + 2, 3t3 + 3t2 + 2t 14

The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on. The standard form of polynomial is given by, f(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + aₙ₋₂xⁿ⁻² .....a₁x + a0, where x is the variable and ai are coefficients.

In the given options, when we analyse

x2 + 3x + 2 is given in standard form that is x2 + 3x + 2

15q 12q2 is not present in standard form

3t3 + 3t2 + 2t 14  is given in standard form

Therefore, the polynomials are in standard form is x2 + 3x + 2, 3t3 + 3t2 + 2t 14

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All the images from A-G are single rotated or single reflected versions of image W.

What is rotation?

The circular movement of an object about a centre is referred to as rotation. Different forms can be rotated by an angle about their central point. A rotation is a map in mathematics. The rotation group of a particular space refers to all rotations around a fixed point that form a group beneath a structure.

Figures A to G are images of W.

The figure W has coordinates (0,0), (0,4) and (-2,4).

Other images are either rotated or reflected.

Figure A has coordinates (0,0), (0,4) and (2,4).

This gives the formula as (x, y) → (-x, y).

(-x, y) is the formula for reflection over y axis.

Therefore, image W reflected over y axis forms image A.

Figure B has coordinates (0,0), (4,0) and (4,2).

This gives the formula as (x, y) → (y,-x).

(y,-x) is the formula for rotation of 90° in clockwise direction.

Therefore, image W rotated 90° clockwise forms image B.

Figure C has coordinates (0,0), (4,0) and (4,-2).

This gives the formula as (x, y) → (y, x).

(y, x) is the formula for reflection over (y = x) axis.

Therefore, image W reflected over (y = x) axis forms image C.

Figure D has coordinates (0,0), (0,-4) and (2,-4).

This gives the formula as (x, y) → (-x,-y).

(-x,-y) is the formula for rotation of 180°.

Therefore, image W rotated 180° forms image D.

Figure E has coordinates (0,0), (0,-4) and (-2,-4).

This gives the formula as (x, y) → (x, -y).

(x, -y) is the formula for reflection over x axis.

Therefore, image W reflected over x axis forms image E.

Figure F has coordinates (0,0), (-4,0) and (-4,-2).

This gives the formula as (x, y) → (-y, x).

(-y, x) is the formula for rotation of 90° in counter-clockwise direction.

Therefore, image W rotated 90° counter-clockwise forms image F.

Figure G has coordinates (0,0), (-4,0) and (-4,2).

This gives the formula as (x, y) → (-y, -x).

(-y, -x) is the formula for reflection over (y = -x) axis.

Therefore, image W reflected over (y = -x) axis forms image G.

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Answer:

It's y< -3/2x -2

Step-by-step explanation:

put each answer choice into desmos and match the graphs.

Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.