A tour bus travels 2,160 miles in 36 hours. What is the average distance the bus travels in one hour?​

Answer:

Don't join the points with lines

Make the numbers on the vertical axis larger

Label the axes

Step-by-step explanation:

Make all the points different colours → I don't think that would be useful. Unless the teacher asked you to in class, it's probably not a good answer.

Put the title on the bottom → Same. Unless the teacher asked you to in class, it's not really useful and probably not a good answer.

Don't join the points with lines → Teachers ask indeed not to do this, so I think it's a good answer. Most of the time they prefer students to use curves (hope it's the good translation).

Make the numbers on the vertical axis larger → Since both axes represent notes, it would be easier to compare with the same scale. If that's what the teacher meant, then I think it's correct.

Label the axes → This one is interesting, because right now we don't what they represent at all.

Hope it helps, good luck for your exercices :)

Answer:

x = 108

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

x/-18 = -6

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that -6 does indeed equal -6.

∴ x = 108 is the solution to the equation.

Answer:

$825.28

Step-by-step explanation:

First, we need to calculate the 15% off sale:

870(0.85) = 739.50

Now, we will calculate and add on the sales tax:

739.50(1.116) = 825.28

So, the final price of the dresser will be $825.28

Hence, the total cost of the dresser is $ \(15.138\).

What is the percentage?

Percentages are generally defined as a ratio of any value to the whole value multiplied by \(100\).

The symbol used to represent the percentage is %. Percentage means a number or a ratio represented in the form of fractions of \(100\). It is represented using the percentage sign ‘%’.

Here given that,

A dresser is normally priced at $\(870\). ​ ​This weekend however, there is a sale where everything is \(15\)% off. ​ ​If the sales tax on items is \(11.6\)%,

Firstly we will calculate the \(15\)% off sale is

\(15\)%\(=\frac{15}{100}\\\\\)

\(15\)%\(=0.15\)

So,\(870(0.15) =130.5\)

Then,

\(\frac{11.6}{100}=0.116\) %

The sales tax on items is \(11.6\)% is

\(130.5(0.116)=15.138\) $

Hence, the total cost of the dresser is $ \(15.138\).

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Answer:

66.6666666667

Step-by-step explanation:

I osnt know how to explain it but that's the answer sorry

The solution of the expression divide 200 by 3 is,

⇒ 66.67

We have to given that,

To divide 200 by 3

We have to divide the number as,

⇒ 200 ÷ 3

3 ) 200 ( 66.6

   - 18

   ------

       20

      - 18

      ------

          20

        - 18

        ------

            2

Therefore, The solution of the expression divide 200 by 3 is,

⇒ 66.67

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Answer:

\(1\frac{7}{15}\)

Step-by-step explanation:

The computation of the water did Audrina drink altogether is as follows:

\(= \frac{4}{5} + \frac{2}{3}\\\\= \frac{12 + 10}{15} \\\\= \frac{22}{15}\)

Now in a mixed fraction, it would be

\(1\frac{7}{15}\)

Hence, the water did Audrina drink altogether is \(1\frac{7}{15}\)

Answer: 24 children

Step-by-step explanation:

Answer:

Step-by-step explanation:

So if 25% have blue eyes, 75% do not.

100% - 25% = 75%

What is 75% of 32?

Change 75% to a decimal by movinf g the decimal two places to the left.

and multiply.

32 × .75 = 24

This is how to calculate the solution.

The solution is given below.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

The perimeter of a rectangle is 40 cm. The length is 14 cm.

Let x = width of the rectangle.

Ravi says he can find the width using the equation 2(x + 14) = 40.

Fran says she can find the width using the equation 2x + 28 = 40.

now, we get,

1. Divide both sides by 2

 2(x+14) = 40

 x+14 = 20

2. Isolate the x term by subtracting 14 from both sides

3. x = 6. The width of the triangle is 6 cm.

4. Isolate the x term by subtracting 28 from both sides

 2x + 28 = 40

 2x = 12

5. Divide both sides by 2

6. x = 6

7. The two equations have the same solution, because by the distributive rule, 2(x+14) = 2x+28.

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The total cost of 44 people in the class party will be $631

The total cost in dollars of a class party is 59 + 13n

Where n = number of people attending in the class party

Let F(n) be the function representing the total cost in dollars of a class party

Such as, F(n) = 59 + 13n

As per the question, the total cost of attending the 44 people will be:

For 44 people we have n = 44

As we had, F(n) = 59 + 13n

Here, F(n) will be treated as a function in which n will be its domain while F(n) will give the output as a range.

F(44) = 59 + 13(44)

     = 59 + 572

    = 631

Total cost will be $631

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Note that this prompt is designed to test ones knowledge on cosigners and loans. See the correct responses below.

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Answer:

A≈110.11

using formula 1/4\(\sqrt5(5+2\sqrt5)a2\)

Step-by-step explanation:

Answer:  "possible" rational roots: ±1/5, ±3, ±1

Step-by-step explanation:  Take plus or minus the factors of the constant divided by the factors of the leading coefficient.

In this case, the constant is 3, so the factors are 1 and 3, and the leading coefficient is 5, so the factors are 5 and 1.

1/5, 3/5, 1/1 and 3/1  are possibilities, simplify and attach the ± to each.

The possible rational roots of the polynomial function f(x) = 5x² - 3x + 3 are; ±1/5, ±3/5, ±1, ±3

Root, in mathematics, a solution to an equation, usually expressed as a number or an algebraic formula.

It is a solution to an equation.

Given that a polynomial f(x) = 5x²-3x+3, we need to find the rational roots of the polynomial,

f(x) = 5x²-3x+3

The rational root theorem states that for a polynomial to have any rational roots, then the roots must be of the form;

± (Factors of coefficient of constant term/factors of the coefficient of the highest power)

Now, the coefficient of the highest power is 5 and the constant term is 3.

Factors of 5 = 1, 5

Factors of 3 = 1, 3

Thus, the possible rational roots are; ±1/5, ±3/5, ±1, ±3

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Answer:

10/3

Step-by-step explanation:

rate of change = gradient

(17-7)/(6-3) = 10/3

basically difference of y values / difference of x values

\(\huge \bf༆ Answer ༄\)

Let's solve ~

[ Since, ln (1) = 0 ]

Therefore, the statement is true ~

Answer:

In(x+y) - In(x+y)

= In(\( \frac{x + y}{x + y} \))

= In(1)

=0

Hence, the statement is true!!

Answer:

E500

Step-by-step explanation:

Given x the original price of the coat

437.5 + 0.125x = x

437.5 = 0.875x

x = E500

Considering that the logo is composed by a semi-circle, a square and a right triangle, it's area is of 143.47 square inches.

The area of a semi-circle of radius r is given by:

\(A = 0.5\pi r^2\)

In this problem, the radius is of r = 7 in, hence it's area in square inches is of:

\(A_{sc} = 0.5\pi \times 7^2 = 76.97\)

The area of a square of side l is given by:

\(A = l^2\)

In this problem, we have that l = 7 in, hence it's area in square inches is of:

\(A_{sq} = 7^2 = 49\)

The area of a right triangle of sides a and b is given by:

\(A = \frac{ab}{2}\)

In this problem, we have that a = 5 in, b = 7 in, hence it's area in square inches is of:

\(A_{rt} = \frac{5 \times 7}{2} = 17.5\)

It is given by the sum of the areas of each figure, hence:

\(A = A_{sc} + A_{sq} + A_{rt} = 76.97 + 49 + 17.5 = 143.47\)

It's area is of 143.47 square inches.

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An equation is formed of two equal expressions. The number of people that can sit at a table is 6.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of people that can be seated at a table be represented by x, while the number of people that can be seated in a booth is y.

The equation for the two floor plans can be written as,

24x + 11y = 254

12x + 17y = 242

Solving the above equations, by plotting the two of the given equations. Therefore, the number of people that can sit at a table is 6.

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Answer:

x^2 + x -12

Step-by-step explanation:

Here, we want to get the quadratic polynomial given its roots

Mathematically, we have it that;

x = 3 and x = -4

We can have that re-written before equating to zero as;

x-3 and x + 4

We can then proceed to multiply these two binomials

(x-3)(x + 4)

= x(x+ 4) -3(x + 4)

= x^2 + 4x -3x -12

= x^2 + x - 12

Answer:

120 degrees

Step-by-step explanation:

There are 120 degrees in a third of a full turn. To determine this, you need to start with a full turn which is 360 degrees.

Answer:

120⁰ is the answer. Hope it helps have a nice day also ;)

From the box of 18 candies, there are 14 candies that contain only caramel.

There are 10 candies that contain both chocolate and caramel. There are 3 candies that do not contain either chocolate or caramel. There are 12 candies that contain chocolate.

To find the number of candies that contain only caramel, we can use the formula:

Total number of candies = candies with chocolate + candies with caramel - candies with both + candies with neither

Plugging in the given values, we get:

18 = 12 + candies with caramel - 10 + 3

Simplifying, we get:

candies with caramel = 14

Therefore, there are 14 candies that contain only caramel.

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Answer:

  £25,353.01

Step-by-step explanation:

You want to know the debt in 14 years if it is initially £800 and increases by 28% per year.

The amount with interest compounded is given by ...

  A = P(1 +r)^t

where P is the principal borrowed, r is the annual interest rate, and t is the number of years.

Bryn will owe ...

  A = 800·1.28^14 ≈ 25353.01

After 14 years Bryn will owe £25,353.01.

<95141404393>

Answer:

Answer:

The prime polynomials are

x² + 9

x² + 3x + 9

Step-by-step explanation:

The volume of the given pyramid is approximately 780.975 cubic kilometers.

Given information:

The provided shape is a pyramid with a triangular base.

And the width of the base is 11.7 kilometers and the length of the base is 26.7 kilometers.

And the height of the pyramid is 15 kilometers.

To find the volume of a pyramid with a triangular base, we use the formula:

V = (1/3)Bh

where V is the volume, B is the area of the base, and h is the height of the pyramid.

In this case, we are given that the base of the pyramid is a triangle with a width of 11.7 kilometers and a length of 26.7 kilometers.

To find the area of this triangle, we use the formula for the area of a triangle:

B = (1/2)bh

where b is the width and h is the length of the base of the triangle.

Substituting the given values, we get:

B = (1/2)(11.7)(26.7)

B = 156.195 km²

Now, we substitute the values of B and h into the formula for the volume of a pyramid:

V = (1/3)(156.195)(15)

V = 780.975 km³.

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The compound interval for the given interval is (-∞, ∞).

A compound inequality is a combination of two inequalities that are combined by either using "and" or "or". The process of solving each of the inequalities in the compound inequalities is as same as that of a normal inequality but just while combining the solutions of both inequalities depends upon whether they are clubbed by using "and" or "or".

The given intervals are (-∞, -2] or [-3, ∞).

Now, the compound interval is (-∞, ∞)

Thus, the interval notation is -∞<x<∞

Therefore, the compound interval for the given interval is (-∞, ∞).

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Linear regression forecasting is an algorithm used for identifying and predicting the future values of a dependent variable based on the independent variable.

The major restriction in linear regression forecasting is that it only takes into account the linear relationship between the dependent and independent variables.

The model assumes that the relationship between the dependent and independent variable is linear and not nonlinear. This assumption may not always be true because there might be cases where the relationship between the variables is non-linear, which can result in inaccuracies in the forecast.

The model's reliability is also based on the quality of the data used for regression analysis. If the data is incorrect, outdated, or incomplete, the accuracy of the model can be negatively affected. Another limitation is that the model assumes that the relationship between the dependent and independent variables is constant over time, which may not be true in the real world.

Also, linear regression is a parametric method that requires certain assumptions about the data, including the normality of the residuals and constant variance of the errors.Linear regression forecasts require data to be independent and unbiased and may not work well if data contains outliers or noise.

Linear regression cannot identify causality or differentiate between correlation and causality. Hence, it is recommended to use linear regression along with other techniques for better accuracy.

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Answer:

17

Step-by-step explanation:

12 1/2-(-4 1/2)

12 1/2+ 4 1/2

17

Answer and fdaStep-by-step explanation:::

The answer depends on the numbers that are inputted for a and b.

If the numbers that are inputted for both a and b are rational, then a + b would be rational.

If the numbers that are inputted for both a and b are irrational, then a + b would be irrational.

If one of the variables is rational and the other is irrational, then a + b would be irrational.

#teamtrees #PAW (Plant And Water)

Answer:

48 holes

Step-by-step explanation:

We know that in 3 minutes, a squirrel managed to bury 12 holes. Now, what if there were 12 minutes?

To solve this, we need to see the increase in minutes and implement the same thing to the holes.

So how do we get 3 minutes to 12 minutes? By multiplying 3 by 4, now do the same for the amount of holes the squirrel burrowed in 3 minutes.

3min * 4 = 12min

12 holes * 4 = 48 holes

Answer:

Step-by-step explanation:

Water in a 10 gallon tank is draining at a rate of 2 gallons per hour.

= 10 - 2x

Water in a separate tank is filling at a rate of 4 gallons per hour.

= 10 + 4x

Equating both Equations together

10 - 2x = 10 + 4x

10 - 10 = 4x - 2x

How long until the tanks have the same amount of water?

Let the time = x

Step-by-step explanation:

This is trigonometry. Focusing on Y initially, we can see that Y is the opposite, and 32 is the hypotenuse. Therefore, we must use sin:

\( \sin(60) = \frac{y}{32} \)

\(y = \sin(60) \times 32\)

\(y \approx28\)

Next X. We can see that X is the adjacent, and 32 is the hypotenuse, so we must use cos:

\( \cos(60) = \frac{x}{32} \)

\(x = \cos(60) \times 32\)

\(x = 16\)

Now let's look at A. We can see that a is the adjacent, and 12 is the opposite, so we must use tan:

\( \tan(60) = \frac{12}{a} \)

\(a = \frac{12}{ \tan(60) } \)

\(a \approx7\)

Now, B. We can see that B is the hypotenuse, and 12 is the opposite, so we must use sin:

\( \sin(60) = \frac{12}{b} \)

\(b = \frac{12}{ \sin(60) } \)

\(b \approx14\)

Answer:

Below in bold.

Step-by-step explanation:

The first triangle is a 30-60-90 triangle,

so the sides are in the ratio 2 : 1 : √3,  where 2 is the hypotenuse, the 1 is adjacent to 60 degree angle and the √3 is opposite the 60 degree angle.

So x = 1/2 * 32 = 16

and y = 16√3  or 27.71 to nearest hundredth.

The second one is the same special triangle, so

√3/2 = 12/b

b = 24/√3

 = 8√3  or 13.86  to nearest hundredth.

a = 1/2 b = 4√3 or 6.93 to nearest hundredth.