Which ratio is equivalent to the ratio 10:9? A 40 to 27 B 30:36 C 36 to 30 40:36​

The difference between 126 1/4 and 78 7/12 is 143/3 or 47 2/3.

To find the difference between the numbers simplify means;

to subtract 78 7/12 from 126 1/4 .

126 1/4 - 78 7/12

First, convert the mixed fractions into improper fractions.

( 126 × 4 + 1 )/4 - ( 78 × 12 + 7) /12

505/4 - 943/12

Multiply first term by 3/3 which is the same as 1.

( 505/4 × 3/3 ) - 943/12

1515/12 - 943/12

( 1515 - 943) / 12

572 / 12

143/3 or 47 2/3.

Therefore, the difference is 143/3 or 47 2/3.

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The equation of the parabola from the vertex is f(x) = -3(x - 5)² + 9

The equation of the function is given as

f(x) = 3x²

Also, we have

Vertex = (5, 9)

The form of the equation is given as

f(x) = a(x - h)² + k

Where

Vertex = (h, k)

This means that

Vertex = (h, k) = (5, 9)

Substitute (h, k) = (5, 9) in the equation f(x) = a(x - h)² + k

So, we have

f(x) = a(x - 5)² + 9

This also means that

f(x) = -3(x - 5)² + 9

The -3 is gotten from f(x) = -3x²

Hence, the equation of the parabola is f(x) = -3(x - 5)² + 9

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Answer:

0.2

Step-by-step explanation:

The amount that x changed by is expressed as;

∆x = x final - x initial

∆x = xf - xi

If x varies from x=1.7 to x=1.9, then;

x final = 1.9

x initial = 1.7

Substitute into the expression above

∆x = 1.9-1.7

∆x = 0.2

Hence the variable x changed by 0.2

The exchange by 0.2.

Given that,

Based on the above information, the calculation is as follows:

 = x final - x initial

  = 1.9-1.7

= 0.2

Therefore we can conclude that the exchange by 0.2.

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The quadratic equation whose vertex (- 1, - 9) is y = 15 · x² + 30 · x + 6. The values of b and c are 30 and 6 respectively.

In this problem we find a quadratic equation with two missing coefficients and a given vertex. To find this expression we have to obtain the expression of the parabola in vertex form, whose form is shown below:

(y - k) = C · (x - h)²

Where:

First, transform the polynomial into standard form:

y = 15 · x² + b · x + c

y = 15 · x² + b · x + c - 9 + 9

y + 9 = 15 · x² + b · x + (c + 9)

y + 9 = 15 · [x² + (b / 15) · x + (c + 9) / 15]

Second, determine by comparison the values of b and c:

(x + 1)² = x² + (b / 15) · x + (c + 9) / 15

x² + 2 · x + 1 = x² + (b / 15) · x + (c + 9) / 15

2 = b / 15

b = 30

1 = (c + 9) / 15

c = 6

Third, write the entire expression:

y = 15 · x² + 30 · x + 6

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\( \Large \bold{SOLUTION\ 1:} \)

\( \small \begin{array}{l} \text{First, we need to check if the given differential} \\ \text{equation is exact.} \\ \\ (1-xy)^{-2} dx + \big[y^2 + x^2 (1-xy)^{-2}\big]dy = 0 \\ \\ \dfrac{dx}{(1-xy)^2} + \left[y^2 + \dfrac{x^2}{(1-xy)^2}\right]dy = 0 \\ \\ \quad M(x, y) dx + N(x, y) dy = 0 \end{array} \)

\( \small \begin{array}{l l}\tt\: M(x,y) = \dfrac{1}{(1 - xy)^2}, & N(x,y) = y^2 + \dfrac{x^2}{(1-xy)^2}\\ \\\tt \dfrac{\partial M}{\partial y} = \dfrac{-2(-x)}{(1 - xy)^3}, & \dfrac{\partial N}{\partial x} = \dfrac{2x}{(1 - xy)^2} + \dfrac{-2(-y)x^2}{(1 - xy)^3} \\ \\\tt \dfrac{\partial M}{\partial y} = \dfrac{2x}{(1 - xy)^3}, & \dfrac{\partial N}{\partial x} = \dfrac{2x(1 - xy)+2x^2y}{(1 - xy)^3} \\ \\\tt \: & \dfrac{\partial N}{\partial x} = \dfrac{2x}{(1 - xy)^3} \end{array} \)

\( \small \begin{array}{l} \tt\dfrac{\partial M}{\partial y} = \dfrac{\partial N}{\partial x} \implies \text{Differential equation is exact.} \\ \\\tt \dfrac{\partial F}{\partial x} = M(x, y) = \dfrac{1}{(1 - xy)^2} \\ \tt\displaystyle F(x, y) = \int \dfrac{1}{(1 - xy)^2} \partial x = -\dfrac{1}{y} \int \dfrac{1}{(1 - xy)^2}(-y)\partial x \\ \\ \tt\:F(x, y) = \dfrac{1}{y(1 - xy)} + h(y) \\ \\ \tt\dfrac{\partial F}{\partial y} = N(x, y) = y^2 + \dfrac{x^2}{(1-xy)^2} \\ \\\tt \dfrac{\partial}{\partial y}\left[\dfrac{1}{y(1 - xy)} + h(y)\right] = y^2 + \dfrac{x^2}{(1-xy)^2} \\ \\ \tt-\dfrac{1 - xy + y(-x)}{y^2(1 - xy)^2} + h'(y) = y^2 + \dfrac{x^2}{(1-xy)^2} \\ \\ \tt-\dfrac{1 - 2xy}{y^2(1 - xy)^2} + h'(y) = y^2 + \dfrac{x^2}{(1-xy)^2} \\ \\ h'(y) = y^2 + \dfrac{x^2}{(1-xy)^2} + \dfrac{1 - 2xy}{y^2(1 - xy)^2} \\ \\ \tt\:h'(y) = y^2 + \dfrac{x^2y^2 - 2xy + 1}{y^2(1-xy)^2} = y^2 + \dfrac{1}{y^2} \\ \\ h(y) = \dfrac{y^3}{3} - \dfrac{1}{y} + C \\ \\ \tt\text{Substituting to }F(x,y),\text{we get} \\ \\ \dfrac{1}{y(1 - xy)} + \dfrac{y^3}{3} - \dfrac{1}{y} = C \\ \\ \quad \quad \text{or} \\ \\ \tt\red{\boxed{\dfrac{x}{1 - xy} + \dfrac{y^3}{3} = C} \Longleftarrow \textit{Answer}} \end{array} \)

\( \Large \bold{SOLUTION\ 2:} \)

\( \small \begin{array}{l} \tt\text{Since we already know that the equation is exact,} \\ \text{we can then continue solving for the solution by} \\ \text{inspection method or by algebraic manipulation.} \\ \\ \tt(1-xy)^{-2} dx + \big[y^2 + x^2 (1-xy)^{-2}\big]dy = 0 \\ \\ \tt\dfrac{dx}{(1-xy)^2} + \left[y^2 + \dfrac{x^2}{(1-xy)^2}\right]dy = 0 \\ \\ \tt\dfrac{dx}{(1-xy)^2} + y^2 dy + \dfrac{x^2}{(1-xy)^2} dy = 0 \\ \\ \tt\dfrac{dx + x^2dy}{(1-xy)^2} + y^2 dy = 0 \\ \\ \tt\text{Divide both numerator and denominator of the} \\ \tt\text{fraction by }x^2. \end{array} \)

\( \small \begin{array}{c}\tt \dfrac{\dfrac{1}{x^2}dx + dy}{\dfrac{(1-xy)^2}{x^2}} + y^2 dy = 0 \\ \tt\\ \tt\dfrac{\dfrac{1}{x^2}dx + dy}{\left(\dfrac{1}{x}-y\right)^2} + y^2 dy = 0 \\ \\ \tt-\dfrac{\left(-\dfrac{1}{x^2}dx - dy\right)}{\left(\dfrac{1}{x}-y\right)^2} + y^2 dy = 0 \\ \\ \tt\displaystyle {\large{\int}} -\frac{d\left(\dfrac{1}{x}-y\right)}{\left(\dfrac{1}{x}-y\right)^2} + \int y^2 dy = \int 0 \\ \\ \tt\implies\tt \dfrac{1}{\dfrac{1}{x}-y} + \dfrac{y^3}{3} = C \\ \\\text{or} \\ \\ \tt\red{\boxed{\dfrac{x}{1 - xy} + \dfrac{y^3}{3} = C} \Longleftarrow \textit{Answer}} \end{array} \)

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Answer:

it's cut in half. the rest of the numbers are 20, 10, 5, 2.5

Step-by-step explanation:

divide all that is shown by 2 that's my proof

Answer:

for x inter let y=0

0=4x+4

4x=-4

x=-1

Answer:  D

n

Step-by-step explanation: hope this help

Answer:

1/5

Step-by-step explanation:

If you focus on one of the coordinates, for example (10,10) you will notice that 10 divided by 5 equals 2.  If you do that on both X and Y it will give you 2.  The black shape's top right cordinate is (2,2) which explains why its 1/5...

Can I plz have it!

The correct option D. a³b. the final result obtained after solving the given expression (ab²)³/b⁵ is a³b.

The given expression is;

= (ab²)³/b⁵

Cube the each term of the numerator .

= a³b²ˣ³/b⁵

By the power rule of indices.

=  a³b⁶/b⁵

Cancel the 5 power of b from  numerator with the denominator.

= a³b

Thus, the final result obtained after solving the given expression (ab²)³/b⁵ is a³b.

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Answer: 14.5 cm

Step-by-step explanation:

You can use dimensional analysis to convert from one unit to another.

435 miles x \(\frac{1 cm}{30 miles}\) =  14.5 cm

The units of miles cancel out and you are left with cm.

The answer is 14.5cm!

Hope this helps! :)

The value of x is 16 because, in the triangle, two interior angles is equal to the exterior angle option second is correct.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

The question is incomplete.

The complete question is:

Lines a and b are parallel. What is the value of x?

1) 15

2) 16

3) 56

4) 64

Please refer the picture for figure.

By using vertically opposite theorem in the figure:

60 degrees and its opposite(vertically opposite)

Now in the triangle, two interior angles is equal to the exterior angle::

60 + 4x = 124

x = 16

Thus, the value of x is 16 because, in the triangle, two interior angles is equal to the exterior angle option second is correct.

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Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.

Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.

What is an Angle?

An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths

To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:

Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.

Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees

Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees

Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

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The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

To draw a model showing what percent of 500 lanterns Ms. Duda's class hangs before lunch, we can use a rectangular bar model.

Draw a rectangular bar to represent the total number of lanterns, which is 500. Label it as "Total Lanterns."

Divide the rectangular bar into two parts. One part should represent the number of lanterns hung before lunch, which is 100. Label this section as "Lanterns Before Lunch."

Calculate the percentage of lanterns hung before lunch by dividing the number of lanterns hung before lunch by the total number of lanterns and multiplying by 100. In this case, (100/500) * 100 = 20%.

Draw an arrow pointing to the "Lanterns Before Lunch" section, and write "20%" next to it to represent the percentage.

The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

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Answer:

  x = 3

Step-by-step explanation:

Maybe you want the value of x such that ...

  4(6^x) = 864

Dividing by 4 gives ...

  6^x = 216

You may know that 216 = 6^3. Using that, we can equate exponents:

  6^x = 6^3

  x = 3

Alternatively, we can use logarithms to find x. Taking logs gives ...

  x·log(6) = log(216)

  x = log(216)/log(6) = 3

Answer:

Step-by-step explanation:

They are congruent.

The line in the middle is common. The two right sides are marked as congruent. The angle enclosed by the two sides are marked as congruent.

Therefore the two figures are congruent by SAS.

Answer:

2+2+2 x 2 so 12

Step-by-step explanation:

well since there’s two teams either of thme could win or lose or tie I think I’m I wrong though I’m really tired so

Answer:

$111.52

Step-by-step explanation:

You have to divide your total amount by 1.15 and that will give you your answer. To check your work you can add your answer and 15% of your answer together. {111.52+(111.52x0.15)=128.25}

Answer:

the way in which factors are grouped in a multiplication problem does not change the product.

Step-by-step explanation:

Answer:

360 *.25. then once you get that, subtract the new pay by the .25. 270 is the amount.

Step-by-step explanation:

360 x .25 = 90. then, you doo 360-90=270.

Answer:

  (x, y) = (-3, 0) and (3, 0)

Step-by-step explanation:

The x-intercepts of any relation are the points where the graph crosses the x-axis. The y-coordinate there is always 0.

This graph crosses the x-axis at x = ±3. The x-inercepts are ...

  (x, y) = (-3, 0) and (3, 0)

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

-10 + 5.47722~
=4.523~
round to nearest tenth = 4.5

Answer:

-4.5

Step-by-step explanation:

\(\sqrt{30}\) is approximately 5.47722557505.  You can find this number with a calculator.

-10 + 5.47722557505 = -4.52277442495

To add a negative and a positive number, you subtract the absolute values and take the sign of the number that has the larger absolute value.  Absolute value just means thinking of both numbers as positive numbers.

Helping in the name of Jesus.

Answer:

85 feet

Step-by-step explanation:

To find the distance traveled by the laser pointer's beam, we can use the Pythagorean theorem. The laser beam forms a right triangle with the tower as one side and the distance traveled as the hypotenuse.

Let's denote the distance traveled by the laser beam as x. We can set up the following equation using the Pythagorean theorem:

x^2 = 40^2 + 75^2

Simplifying this equation:

x^2 = 1600 + 5625

x^2 = 7225

Taking the square root of both sides:

x = √7225

x = 85

Therefore, the laser pointer's beam has traveled approximately 85 feet.

Answer: 2

Step-by-step explanation: Buying price per Apple=34/8=17/4 Rs

Selling price per Apple=57/12=19/4Rs

Profit per apple=Selling price-Buying price

Profit=  

4

19

​

−  

4

17

​

Profit=  

4

2

​

Profit=  

2

1

​

apples should be sold to earn a net profit of Rs 45

45=x× -  

2

1

​

=2  

Answer (A) 2