rewrite this division expression as an equivalent multiplication expression. 9/4 divided by 7/5 ​

The answer to this Question based on Linear equation is 28 and 45

What is Linear Equation?

It is a equation in which the degree of each and every variable is 1 only is called linear equation

Solution:

Let the time taken to complete maths homework be x and time to complete science homework be y

first we know that total time taken was 1 hr 15 minutes means 75 minutes which in turn means x + y = 75

and from 2nd relation that we are given

x = 2y - 9

now we got the 2 linear equations now we just need to solve them to get our final answer

putting this equation in first equation we got we get

2y - 9 + y = 75

3y - 9 = 75

3y = 84

y = 28

and hence x = 2y - 9

x = 56  - 9

x = 45

hence time to complete maths was 45 minutes and time to complete science is 28 minutes

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well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two

\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)

Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.

Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.

From the given information, we can set up the following equations:

Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)

Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)

We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.

Let's calculate the determinants:

D = determinant of the coefficient matrix

Dx = determinant of the matrix obtained by replacing the x column with the constants

Dy = determinant of the matrix obtained by replacing the y column with the constants

Using Cramer's rule, we can find the values of x and y:

x = Dx / D

y = Dy / D

Now, let's calculate the determinants:

D = (0.5)(10) - (0.7)(8) = -1.6

Dx = (16.5)(10) - (0.7)(246) = 150

Dy = (0.5)(246) - (16.5)(8) = -18

Finally, we can calculate the values of x and y:

x = Dx / D = 150 / (-1.6) = -93.75

y = Dy / D = -18 / (-1.6) = 11.25

However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:

x ≈ -94 (rounded to -94)

y ≈ 11 (rounded to 11)

Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

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Question

Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).

Answer: = (-2,3)

Step-by-step explanation:

Here, fixed point = origin = (0,0)

Transformation rule for rotation of  \(90^{\circ}\)counterclockwise about the origin:

\((x,y)\to (-y,x)\)

Then, the image of the point (3,2) =  (-2,3)

Hence, the image of the point (3,2) after a rotation of  \(90^{\circ}\)counterclockwise about the origin = (-2,3)

Answer: The answer is -2,3 because 90 degrees of the orgin :) enjoy

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

4(3.30)+ 6(1.25)

Step-by-step explanation:

because you would multiply 4 and 3.30 and 6 ×1.25 :)

Therefore, In the figure, a∥b  angle m∠7 = 34° .

An angle is a figure in Euclidean geometry made up of two rays that share a vertex, or common terminus, and are referred to as the sides of the angle. Angles of two rays lie in the plane containing the rays. Angles can also result from the intersection of two planes. Dihedral angles are the name given to them.

Here,

Given that a and b are parallel lines,

∠3 and ∠7  are corresponding angles and congruent

m∠3 = 34°

thus ,m∠7 =m∠3 = 34°

so, m∠7 = 34°

Therefore, In the figure, a∥b  m∠7 = 34° .

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Answer: 1 gallon converts to 4 quarts convert to 8 pints convert to 16 cups

Step-by-step explanation:

Answer:

7. According to your line of best fit, what is the arm span of a 74-inch-tall person?

Dont need to do all. Just do thep

Answer:

  373.5 rpm

Step-by-step explanation:

You want the rotational speed of a 3 ft wheel traveling 30 miles in 45 minutes.

We want to multiply by factors that eliminate units we don't want and replace them with units we do want.

  \(\dfrac{30\text{ mi}}{45\text{ min}}\times\dfrac{5280\text{ ft}}{1\text{ mi}}\times\dfrac{1\text{ rev}}{\pi(3\text{ ft})}=\dfrac{30\cdot5280\text{ rev}}{45\cdot3\pi\text{ min}}=\boxed{\dfrac{3520}{3\pi}\text{ rpm}\approx373.5\text{ rpm}}\)

__

Additional comment

The circumference of the wheel is ...

  C = πd . . . . . where d is the diameter, or twice the radius

The distance the wheel travels in one revolution is the length of its circumference.

The size of a wheel is given by its diameter. A "3 ft wheel" has a diameter of 3 feet, or a radius of 1.5 feet.

Answer:

X=102 y=288 =390

Step-by-step explanation:

X=50+32=82=180-82=102

Y= 50+32=82=360-82=288

Total answer is =390

If you use the normal distribution to estimate the probability that score exceeds 100, the answer would be zero.

This is because a normal distribution is a continuous probability distribution, and the probability of any individual score, no matter how high or low, is always zero.

However, this answer contradicts the assumption of a normal distribution for scores because it implies that scores cannot exceed 100, which is not true. Scores can theoretically range from negative infinity to positive infinity, and in practice, there may be some scores above 100, especially if the measurement instrument is imprecise or the test is very difficult.

Therefore, if we observe scores that are higher than 100, it suggests that the assumption of a normal distribution may not be appropriate for the data, and we may need to use a different distribution or statistical model to estimate probabilities or make inferences about the scores.

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Answer:

5.75 feet tall

Step-by-step explanation:

The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.

1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.

These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.

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Step-by-step explanation:

a. To find out how many hours Billy Banjo needs to work to pay for his banjo, we can set up the following equation:

$$ 6h = 300 $$

where "h" represents the number of hours Billy Banjo needs to work and 6 represents the amount of money he earns per hour.

We can solve this equation by dividing both sides by 6, giving us:

$$ h = \frac{300}{6} $$

$$ h = 50 $$

Therefore, Billy Banjo needs to work 50 hours in order to pay for his $300 banjo.

b. The equation $6h = 300$ represents the situation where Billy Banjo is trying to save money for a new banjo that costs $300, and he earns $6 per hour. The variable "h" represents the number of hours Billy Banjo needs to work in order to pay for the banjo. The left side of the equation, $6h$, represents the amount of money Billy Banjo earns in "h" hours, while the right side of the equation, 300, represents the cost of the banjo he is trying to save up for. By setting these two expressions equal to each other, we are able to solve for the value of "h," which represents the number of hours Billy Banjo needs to work in order to pay for his banjo.

Answer:

the third : x + x + x + 2 = 10

Step-by-step explanation:

x = the length of the first 2 pieces.

the third piece will be x+2 ft long.

so, the total length of the original board is the sum of all 3 pieces and must be all in all 10 ft.

10 = x + x + (x + 2) = x + x + x + 2

so, it is the third answer option.

Answer:

300

Step-by-step explanation:

1.5*200 = 300

Cool.

Answer:

Step-by-step explanation:

The volume of the solid formed by rotating the region bounded by x = (y - 7)^2 and x = 16 about the x-axis can be found using the method of cylindrical shells with the integral ∫(0 to 9) 2πx * (16 - (y - 7)^2) dy.

To find the volume of the solid formed by rotating the region bounded by the curves x = (y - 7)^2 and x = 16 about the x-axis, we can use the method of cylindrical shells. The region is bounded by y = 0 and y = 9, which are the limits of integration.

The height of each cylindrical shell is given by h(x) = 16 - (y - 7)^2. We can express this as h(x) = 16 - (x^(1/2) - 7)^2. Using the formula for volume V = ∫(0 to 9) 2πx * h(x) dx, we integrate this expression with respect to x. Evaluating the integral will give us the volume of the resulting solid.

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Answer:

C(m) = 41(flat rate) + .10m(rate per mile)

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

edge :)

Answer:

what language is that??

Step-by-step explanation:

Answer:

d is the right answer hope you get it right

Answer:

\(x \approx 24\degree \)

Step-by-step explanation:

In triangle BAC, by Pythagoras theorem:

\(AC^2 = BC^2 -BA^2 \)

\(AC^2 = (15)^2 -(9)^2 \)

\(AC^2 = 225 - 81\)

\(AC^2 = 144\)

\(AC = \sqrt {144} \)

\(AC = 12\: cm \)

In triangle ABD,

\( \tan \angle ABD =\frac{AD}{AB} \)

\( \tan \angle ABD =\frac{5}{9} \)

\( \angle ABD =\tan^{-1}\frac{5}{9} \)

\( \angle ABD =29.054604099\degree \)

\( \angle ABD =29.05\degree \)

Next, in triangle ABC, by sine rule:

\( \frac{\sin \angle ABC}{AC}=\frac{\sin \angle BAC}{BC}\)

\( \frac{\sin (\angle ABD+\angle DBC) }{12}=\frac{\sin 90\degree}{15}\)

\( \frac{\sin (29.05\degree+x) }{12}=\frac{1}{15}\)

\( \sin (29.05\degree+x) =\frac{12}{15}\)

\(29.05\degree+x = \sin^{-1}\frac{12}{15}\)

\(29.05\degree+x =53.130102354\degree \)

\(29.05\degree+x =53.13\degree \)

\(x =53.13\degree- 29.05\degree\)

\(x =24.08\degree \)

\(x \approx 24\degree \)

Yes ∆DBE is similar to ∆ABC by the SAS similarity theorem.

Similar triangles are triangles that have the same shape, but their sizes may vary. Two triangles are said to be similar if the corresponding angles are equal and the ratio of the corresponding sides are equal.

In this case, both triangles have a common angle i.e angle B and the ratio of their corresponding sides are equal. i.e 10/22 = 15/33 = 0.454. Therefore we can say that ∆DBE is similar to ∆ABC.

They are similar by the SAS similarity theorem i.e side angle side theorem.

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Answer:

B

Step-by-step explanation:

Answer:

-1 1/2

Step-by-step explanation:

1/2 is positive and - 2 is negative

To convert 75 degrees Fahrenheit to degrees Celsius using the given formula F = (9/5)C + 32, we can determine the equivalent temperature in Celsius by rearranging the formula and substituting the Fahrenheit value.

The formula F = (9/5)C + 32 represents the relationship between Fahrenheit (F) and Celsius (C) temperatures. To convert Fahrenheit to Celsius, we need to rearrange the formula and solve for C. Let's start with the given Fahrenheit value of 75. We substitute this value into the formula:

75 = (9/5)C + 32

To isolate C, we can first subtract 32 from both sides of the equation:

75 - 32 = (9/5)C

43 = (9/5)C

Next, we can multiply both sides by 5/9 to solve for C:

(5/9)(43) = C

Therefore, 75 degrees Fahrenheit is equivalent to approximately 23.9 degrees Celsius.

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The book  'Terrible Weather' was written by WAYNE DROPS

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Solving the equations,

1) 5x-7 = 4x+3

x = 10 (N)

2) 6+2x = 7x-9

5x = 15

x = 3 (O)

3) 8x+1 = -8-x

-9x = 9

x = -1 (A)

4) -5+12x = 18x+7

6x = -12

x = -2 (S)

5) -4x+3 = 5x-13-x

8x = 16

x = 2 (R)

6) -10-11x+24 = 3x

14x = 14

x = 1 (E)

7) 8+3x = x+11+2x

3x-3x = 11-8

3 = 0

No solution (Y)

8) 5+17x+9 = 2x+21x+14

6x = 0

x = 0 (D)

9) 6x+8-13x+10 = 4-6x-11+4x

-7x+18 = -7-2x

5x = 25

x = 5 (W)

10) -14+5-x-3 = x+6+x+3x

-18 = 6x

x = -3 (P)

Now, the answer is coded as 93716 852104

Decoding with the help of the solutions of the given equations

WAYNE DROPS

Hence, the answer is WAYNE DROPS

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Answer:

The ratio of original area to enlarged area is 1/4.

Step-by-step explanation:

Area of original circular garden is

\(\pi {( \frac{d}{2} )}^{2} = \pi \frac{ {d}^{2} }{4} \)

Area of enlarged circular garden is

\(\pi ( { \frac{2d}{2}) }^{2} = \pi {d}^{2} \)

So the ratio of original area to enlarged area is 1/4.

a) The 95% confidence interval is (10.85%, 17.23%).

b) The correct answer is B.

c) "95% confidence" means that approximately 95% of random samples of size n will produce confidence intervals that contain the true parameter value.

d) The confidence interval contradicts the assertion of the politician.

a) Using the given information, we can calculate the confidence interval for the percentage of all auto accidents involving teenage drivers.

The percentage of accidents involving teenagers can be calculated as:

Percentage = (Number of accidents involving teenagers / Total number of accidents) * 100

In this case, the number of accidents involving teenagers is 82, and the total number of accidents is 584.

Percentage = (82 / 584) * 100 ≈ 14.04%

Confidence Interval = Percentage ± (Z * Standard Error)

where Z is the critical value corresponding to the desired confidence level (95% confidence corresponds to Z ≈ 1.96), and the Standard Error is calculated as:

Standard Error = sqrt((Percentage * (100 - Percentage)) / n)

where n is the total number of accidents.

Standard Error = sqrt((14.04 * (100 - 14.04)) / 584) ≈ 1.62%

Confidence Interval = 14.04% ± (1.96 * 1.62%) ≈ (10.85%, 17.23%)

Therefore, the 95% confidence interval for the percentage of all auto accidents involving teenage drivers is approximately (10.85%, 17.23%).

b) The correct answer is B. We are 95% confident that the true percentage of accidents involving teenagers falls inside the confidence interval limits. This means that if we were to repeat the sampling and construct a confidence interval in a large number of similar experiments, approximately 95% of those intervals would contain the true percentage of accidents involving teenagers.

c) "95% confidence" means that if we were to repeat the sampling and construct confidence intervals in a large number of similar experiments, approximately 95% of those intervals would contain the true parameter value (in this case, the percentage of accidents involving teenagers). It does not imply a 95% probability for a specific interval to contain the true parameter value.

d) The confidence interval contradicts the assertion of the politician. The figure quoted by the politician, which states that "In one of every five auto accidents, a teenager is behind the wheel," is outside the calculated confidence interval of (10.85%, 17.23%).

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