5. A train leaves Town A at 0845 hours and arrives at Town B at 1510 hours. (i) How long does the train take to travel from Town A to Town B? (ii) If the average speed of the train is 108 km/h, find the distance between Town A and Town B.​

Answer: x = 13/4

Step-by-step explanation:

Easy, let's use x to define the number:

3x + 5 = 7x - 8

We take the 3x to the other side:

5 = 4x - 8

We take the 8 to the other side:

13 = 4x

x = 13/4

Answer:

The strongest correlation is 0.87. In general, a correlation is a measure of the strength and direction of a linear relationship between two variables. Correlation values range from -1 to 1, with -1 indicating a perfect negative linear relationship, 0 indicating no linear relationship, and 1 indicating a perfect positive linear relationship. Among the numbers you have provided, 0.87 is the only one that is greater than 0, indicating a positive linear relationship between the two variables. This means that as one variable increases, the other variable also tends to increase. This is the strongest possible positive linear relationship, making 0.87 the strongest correlation among the numbers you have provided.

Step-by-step explanation:

Answer: A. p + (3p – 5) + (4p + 6)

Step-by-step explanation:  Total number of tomato plants that Lauryn, Padma, and Kent grew = 8p + 1

Answer: 2x(x^-4)(x^-2)

The value of x, the distance from the base of the roof to the top of the roof is 8 feet.

What is Pythagorean theorem?

The Pythagorean theorem, also known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse.

Given: The roof of a patio is in the shape of triangle.

We have to find the distance x from the base of the roof to a top of the roof.

Let the base of the roof is divided into two parts by the line x.

The half distance is 15 feet.

The triangle made is a right angle triangle.

So we can we the Pythagorean theorem to find the value of x.

By the Pythagorean theorem,

x^2 + 15^2 = 17^2

x^2 + 225 =  289

          x^2 = 289 - 225

          x^2 = 64

              x = 8

Hence, the value of x, the distance from the base of the roof to the top of the roof is 8 feet.

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The angle between two lines having slopes as 1 and 1 is 0°. thus, the two lines coincide with each other.

The formula to find the angle between two lines having slop m1 and m2 is

tan θ= ± (m2 – m1 ) / (1+m1m2)

Substituting the value of slope in this equation

tan θ = ± (1-1)/ (1 + 1×1)

tan  θ =± 0

 θ=   [tex]tan^{-} (0)[/tex]

θ = 0°

When two straight lines cross, two sets of angles are created. The intersection creates two acute angles and two obtuse angles. The slopes of the intersecting lines have an impact on the angles' absolute values.

It is also important to note that because the slope of a line parallel to the y-axis is indeterminate, it is impossible to calculate the angle created by two lines intersecting.

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Answer: its the 3 anwers

Step-by-step explanation:

Answer:

Sure! The formula for simple interest is I = P x R x T, where I is the interest, P is the principal, R is the interest rate, and T is the time.

To find the interest, you would plug in the values for P, R, and T and solve the equation. For example, if you have a principal of $500, an interest rate of 10%, and a time of 5 years, the formula would look like this: I = 500 x 0.1 x 5 = $250.

To find the principal, you would rearrange the formula to solve for P. This would give you P = I / (R x T). Using the same values as before, the formula would look like this: P = 250 / (0.1 x 5) = $500.

To find the interest rate, you would rearrange the formula to solve for R. This would give you R = I / (P x T). Using the same values as before, the formula would look like this: R = 250 / (500 x 5) = 0.1.

To find the time, you would rearrange the formula to solve for T. This would give you T = I / (P x R). Using the same values as before, the formula would look like this: T = 250 / (500 x 0.1) = 5.

I hope this helps! Let me know if you have any other questions

The sample size to meet the error margin is 2185.

What is the error margin?

The margin of error is a statistic that describes how much random sampling error there is in survey results. One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.

Here, we have

The sample size (n) is calculated according to the formula:

n =  p(1 - p) (z²/ e²)

Where:

z = 1.96 for a confidence level (α) of 95%, p = proportion, e = margin of error.

z = 1.96, p = 0.35, e = 0.02

n =  0.35(1 - 0.35) (1.962/ 0.022)

n = (0.2275)(9604)

= 2184.91

n ≈ 2185

Hence, the sample size meets the error margin is 2185.

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Correct selling price = $10

What is selling price?

The selling price of an item is the price at which it is purchased. For instance, $10 would be regarded as the umbrella's selling price if Neil sold the identical umbrella for that sum. It is referred to as S.P.

Based on given conditions formulate:

= 6(1+67%)

= 6(1.67)

= 10

correct selling price = $10

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Answer:

Step-by-step explanation: D-days, W=weeks

7d times 6w=42 d

A bijection between two sets is constructed below and also proved that it is both one-one and onto.

The phrase "one-to-one function" should not be mistaken with "one-to-one correspondence," which is used to describe bijective functions, in which each element in the codomain is a precise mirror image of a single element in the domain.

Any function that can work with the operations of two algebraic structures is said to be a homomorphism between them. An injective homomorphism is also referred to as a monomorphism for any commonly occurring algebraic structures, particularly vector spaces.

Let t∈T

Then,

t=2k+1, for some k∈Z

Let s=3k

Then,

s∈S and f(s)=2(s/3)+1

=2k+1

=t

Therefore, for every t∈T there exists s∈S such that f(s)=t

Thus, f is onto.

Hence,

f:S  ----> T is a bijective mapping

⇒|S|=|T|

Now, we have to define a mapping f:S ---?T

By f(x)=2(x/3)+1, ∀x∈S

Given,

S={3k|k∈Z} and T={2k+1:k∈Z}

We have to prove:

|S|=|T|

Let x, y∈ S with f(x)=f(y)

Then,

2(x/3)+1=2(y/3)+1

2(x/3)=2(y/3)

(x/3)=(y/3)

x=y

So, f is one-one

Now, we have proved that f is both one-one and onto.

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Mathematical equations are essentially relationships. A line equation describes the relationship between x and y values found on a coordinate plane.

Firstly understand the values in the table. The numbers in a table are often the x and y values that are true for the line, which means the x and y values correspond to the coordinates of points on the line.

Then we need to determine the slope. We can do this by taking two points from the table and plugging them into formula.

Next we need to find the y-intercept. To do this, we need one point from the table to plug into our function.

Once you find the value of the slope, plug it into the the slope-intercept form of the line. The result is the function that describes the relationship in the given table of values.

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The coordinate of the triangle after reflection are; A'(0,3),  B'(2,1) , C'(-3,3)

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

We are given that Triangle ABC Has the verties of A(0,-3) B(2,-1) and C(-3,-3).

The transformation for reflection across the x-axis is;

(x, y) ⇒ (x, -y) . . . reflection across the x-axis

Then we have;

 A(0, -3) ⇒ A'(0, 3)

B(2,-1) = B'(2,1)

C(-3,-3) =C'(-3,3)

Therefore, The coordinate of the triangle are;

A'(0,3),  B'(2,1) , C'(-3,3)

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The Bus can hold 59 students and van can hold 18 students.

The freshman class rented and filled 1 van and 6 buses with 372 students. This can be illustrated as:

v + 6b = 372 .... i

The sophomore class rented and filled 4 vans and 12 buses with 780 students. This can be illustrated as:

4v + 12b = 780 ... ii

where v = van.

b = bus

v + 6b = 372

4v + 12b = 780

Reduce equation ii by 2. The new equations will be:

v + 6b = 372

2v + 6b = 390

Subtract

v = 18

The van can hold 18 students

Since v + 6b = 372

This will be:

18 + 6b = 372

6b = 354

b = 59.

Bus can hold 59 students.

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To get the slope, use the slope-intercept form and calculate the reciprocal of the slope of the given line .The slope of any line perpendicular to Y = 7x + 8 is -7.

The equation of any line perpendicular to Y = 7x + 8 is in the form of y = mx + b where m is the slope.

To get the slope, use the slope-intercept form and calculate the reciprocal of the slope of the given line.

The slope of the given line (Y = 7x + 8) is 7. Therefore, the slope of the line perpendicular to it is the reciprocal of 7, which is -7.

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The following two methods are used to write a linear function;

1.  Write linear functions from graph

2. Write linear equation from slope and ordered pairs

Given,

Steps to write linear functions;

The slope and the y-intercept are the two pieces of data required to build a linear function. Once these two variables have been established, you can replace m and b with them in the slope-intercept equation y = mx + b.

There are two methods;

1. Write linear functions from graph

2. Write linear equation from slope and ordered pairs;

We only have half the information if we are provided the slope and an ordered pair. Although we now know the slope, we still need to determine the y-intercept. The following steps can be used to calculate this using the slope-intercept form:

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a) The vertical rise per step is of 18.1 feet.

b) The number of steps needed to climb from road level to the 2nd floor is of: 3 steps.

The rise is obtained applying the slope concept, as follows:

Rise = Total elevation x Tangent of Angle.

The parameters are given as follows:

Then the rise per step is calculated as follows:

Rise = 24 x tangent of 37 degrees = 18.1 feet.

The total vertical elevation needed to reach the second floor is given as follows:

24 + 24 = 48 feet.

Then the total number of steps needed to climb to the 2nd floor is found applying the proportion, as follows:

48/18.1 = 2.65 steps.

Rounding up, 3 steps are needed.

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a) The estimated population for each town is given as follows:

b) The current population of Harmony Corners is of: 7,214.

The expression are found applying the proportions in this problem, given from the percent change in the table.

The multiplier for each expression is given as follows:

Supposing that the population of Harmony Corners was of 6,742 on the Census, we have that:

z = 6742.

Hence the current population is of:

1.07 x 6742 = 7,214.

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Answer:

[tex]a. \: x = \frac{ - 13}{8} [/tex]

Step-by-step explanation:

[tex]1. \: - 6x - 3 = 2x + 10 \\ 2. \: - 3 = 2x + 10 + 6x \\ 3. \: - 3 = 8x + 10 \\ 4. \: - 3 - 10 = 8x \\ 5. \: - 13 = 8x \\ 6. \: \frac{ - 13}{8} = x \\ 7. \: x = \frac{ - 13}{8} [/tex]

After solving the given equation 3(-2x - 1) = 2(x + 5), we know that the value of x is (A) -13/8.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.

A formula would be 3x - 5 = 16, for instance.

When this equation is solved, we discover that the value of the variable x is 7.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

So, we got the equation:

3(-2x - 1) = 2(x + 5)

Now, solve for x as follows:

3(-2x - 1) = 2(x + 5)

-6x - 3 = 2x + 10

-6x - 2x = 10 + 3

-8x = 10

x = -13/8

Therefore, after solving the given equation 3(-2x - 1) = 2(x + 5), we know that the value of x is (A) -13/8.

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Correct question:
Solve for x.3(-2x - 1) = 2(x + 5)

A) -13/8

B) -3/4

C) 13/8

D) 3/4

Answer:

2

Step-by-step explanation:

count your fingerssssssssssssd

Answer:

80

Step-by-step explanation:

To solve, we need to find what number 64 is 80% of. To do so, we need to solve the equation [tex]\frac{100}{80}[/tex] x 64. This gives us the answer, 80.

In sentence (A) the measure of the angle AHD is 30° is incorrect according to the given diagram.

When two straight lines or rays intersect at a single endpoint, an angle is created.

The vertex of an angle is the location where two points come together.

The Latin word "angulus," which means "corner," is where the term "angle" originates.

The meeting of two planes also creates angles.

We refer to these as dihedral angles.

So, as we can see that ∠Z and ∠D are equal:

Let, 's assume that x is 30 as given is an option (B).

Then, ∠Z and ∠D are 45°.

Which will make ∠ZHD a 90°.

Which will automatically make ∠AHD a 90°.

And, hence ∠AHD will not be 30°.

Therefore, in a sentence (A) the measure of the angle AHD is 30° is incorrect according to the given diagram.

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Answer:We can write the following equation.

C = 5000+200S

where C is cost and S = sugar transported in tons.

Plot is given in attached fig.

Step-by-step explanation:

Answer:

x=22.5 please mark me as brainlyiest

Step-by-step explanation:

2(x-3)=49

2x-6=49

2x=55

x=22.5

Answer: x=10   x=-4

Step-by-step explanation:

[tex](x-3)^2=49\\\\(x-3)=7^2[/tex]

Extract the square root of both parts of the equation:

[tex]\sqrt{(x-3)^2}=\sqrt{7^2} \\\\x-3=б7\\\\x-3=7\\x-3+3=7+3\\x=10\\\\x-3=-7\\x-3+3=-7+3\\x=-4[/tex]

Answer:

D

Step-by-step explanation:

The sum of the length of any 2 sides is greater than the length of any 3rd side

10+8 = 18, so D is not possible

The minimum revenue by selling tickets will be $363 thus there will be no solution.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Suppose x is the number of hot dogs sold and y is the number of hamburgers sold.

As per the given,

hot dog for 6$ and a hamburger for 8$

6x + 8y = total cost

6x + 8y = 1106

Total x + y = 106

By substitution,

6(106 - y) + 8y = 1106

636 - 6y + 8y = 1106

2y = 470

y = 235

And, x = -129

Since the number cannot be negative thus it will be an incorrect question.

Hence "There won't be a solution because the minimum revenue from ticket sales will be $363.".

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The slope of the lines in the question are 0 and -1/2

Slope of a line is the change in y-coordinate with respect to the change in x-coordinate.

The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.

Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,

m = y₂ - y₁ / x₂ - x₁

a)

Taking the two points;

m = 7 - 7 / 5 - (-1)

m = 0

The slope is equal to 0

b)

Using the same formula above;

m = y₂ - y₁ / x₂ - x₁

m = 0 - 2 / 5 - 1

m = -2 / 4

m = -1/2

The slopes are 0 and -1/2

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Answer:

2 7/8

Step-by-step explanation:

8 3/4= 8 6/8 = 7 14/8

14/8-7/8= 7/8

7-5=2

2 7/8