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Answer:

x = 8

y = 146

Error = 4.86%

Step-by-step explanation:

Number of business class passenger = x

and the economy class passenger = y

Total number of passengers = 154

x + y = 154 ------(1)

Cost of business class tickets and economy class tickets are €320 and €85 respectively.

Total amount received by airlines is €14970.

320x + 85y = 14970

64x + 17y = 2994 --------(2)

Multiply equation (1) by 17 and subtract from equation (2)

(64x + 17y) - (17x + 17y) = 2994 - 2618

47x = 376

x = 8

From equation (1),

8 + y = 154

y = 154 - 8

y = 146

Airline officer wrote down the amount received as €14270

Then difference from the actual amount received = 14970 - 14270

                                                                                   = €700

% Error =  [tex]\frac{\text{Difference in amount}}{\text{Actual amount}}\times 100[/tex]

            = [tex]\frac{700}{14970}\times 100[/tex]

            = 4.676

            ≈ 4.68%

Therefore, x = 8 and y = 146

             and % error = 4.68%

Step-by-step explanation:

If y = - 5

Then put value of y

5x + 4(-5) = - 20

5x - 20 = - 20

5x = - 20 + 20

5x = 0

x = 0

Answer:

x = 0

y = -5

Step-by-step explanation:

Since you already have the value of y, all you need to do is plug it into the equation, like so:

5x + 4y = -20

5x + 4(-5) = -20

5x - 20 = -20

Add 20 to both sides:

5x - 20 = -20

    + 20  + 20

___________

5x = 0

Finally, divide both sides by 5:

5x = 0

x = 0

So now you have, x = 0 and y = -5

Answer:

1.6 km

Step-by-step explanation:

subtract 2.5 from 4.1

The greater than sign is what makes it true because a positive number is always greater than a negative number.

7.1 > -7.1

Answer:

> is the answer

Step-by-step explanation:

Some times it is hard to understand which symbol it is. - 7.1 is left of the number line, so that mean its is less that a whole number/ full decimal.

Pls mark me as brainliest, thank you have a wonderful day!

Answer:

x = 2   days

y = 250  $

Step-by-step explanation:

We call "y"  total renting costs  and  "x" total vacation days

according to that in first case we have:

y  =  100*x  + 50

And for the second case

y  =  120*x +  10               (1)

That two equation system represent the equation system of the situation, therefore if we solve that system we will determine the choises with same costs

equating these two equations:

100*x  +  50  =  120*x + 10

50 - 10  = 120*x - 100*x

20*x = 40

x = 2   days

Plugging that value in any of the equation (1) or (2) we get y value

y  =  120*2  +  10

y = 250  $

Answer:

-3x^3+7y^2+9y

Step-by-step explanation:

y - y² + 4y + 7y² – 3 x3 + y² + 4y​

Combine Like Terms:

=y+−y2+4y+7y2+−3x3+y2+4y

=(−3x3)+(−y2+7y2+y2)+(y+4y+4y)

=−3x3+7y2+9y

If [tex]\(y = \log_b(x)\)[/tex], then [tex]\(b^y = x\)[/tex] is the equivalent exponential form.

The logarithmic equation [tex]\(y = \log_b(x)\)[/tex] is equivalent to the exponential form [tex]\(b^y = x\)[/tex]. These two forms are related by the definition of logarithms.

In the logarithmic form [tex]\(y = \log_b(x)\)[/tex], [tex]\(b\)[/tex] is the base of the logarithm, [tex]\(x\)[/tex] is the argument of the logarithm, and [tex]\(y\)[/tex] is the exponent to which the base [tex]\(b\)[/tex] must be raised to obtain [tex]\(x\)[/tex].

In the exponential form [tex]\(b^y = x\)[/tex], [tex]\(b\)[/tex] is the base, [tex]\(y\)[/tex] is the exponent, and [tex]\(x\)[/tex] is the result of raising the base [tex]\(b\)[/tex] to the power of [tex]\(y\)[/tex].

So, if [tex]\(y = \log_b(x)\)[/tex], then [tex]\(b^y = x\)[/tex] is the equivalent exponential form.

The probable question may be:

"What is the exponential form equivalent to the logarithmic equation [tex]\(y = \log_b(x)\)[/tex], where [tex]\(b\)[/tex] is the base of the logarithm, [tex]\(x\)[/tex] is the argument, and [tex]\(y\)[/tex] is the exponent? Provide the expression in the form [tex]\(b^y = x\)[/tex]."

The equation [tex]\(y = \log_b^x\)[/tex] can be represented in exponential form as [tex]\(b^y = x\).[/tex]

When dealing with logarithms and exponential functions, there exists an inverse relationship between them. The logarithm is the inverse of the exponential function, and vice versa. In the given equation [tex]\(y = \log_b^x\),[/tex] the logarithm is in base \(b\) with an exponent of \(x\). To rewrite this equation in exponential form, we need to switch from logarithmic notation to exponential notation.

In exponential form, the base[tex](\(b\))[/tex]is raised to the power of the logarithm ((y)), resulting in [tex]\(b^y\).[/tex] The result of this exponential expression is the value (x\), which is the argument of the logarithm. This transformation showcases the fundamental relationship between logarithms and exponentials, demonstrating that they are different representations of the same mathematical concept.

Expressing the equation as[tex]\(b^y = x\)[/tex]in exponential form clarifies how the logarithmic statement[tex](\(y = \log_b^x\))[/tex] translates into an equivalent exponential form. It emphasizes the reciprocal relationship between logarithms and exponentials, providing a clear understanding of how these forms interrelate in mathematics.

This transformation from logarithmic to exponential form serves to simplify expressions, solve equations, and understand the fundamental connection between logarithms and exponentials in mathematical operations.

"".

Answer:

130

Step-by-step explanation:

The measurement of arc BC is 130°.

Step-by-step explanation:

Given :  circle with origin O, with two line segments AC and BD which are also diameters.

Measurement of arc AB = (3 x -70)° =

Measurement of arc DC= (x +10)° = ∠3

To find : Measurement of arc BC = ∠2 =?

Solution:

Let angle subtended by the arc AC = ∠1 = (3 x -70)°

Let angle subtended by the arc BD = ∠2

Let angle subtended by the arc DC = ∠3  = ( x + 10)°

Let angle subtended by the arc AD = ∠4

AC and BD are intersecting each other at O.

So, ∠1 = ∠3  (vertically opposite angles)..[1]

∠2 = ∠4 (vertically opposite angles)..[2]

(3 x -70)° =  (x +10)° (from [1])

3x - x = 10 + 70

∠1 = ∠3 = (x +10)° =  (40 +10)° = 50°

∠1 + ∠2 + ∠3 + ∠4 = 360°

50° + ∠2 + 50° + ∠2= 360° (from [2])

2∠2 = 360° -50° - 50°

2∠2 = 260°

∠2 = 260° ÷ 2

∠2 = 130°

The measurement of arc BC is 130°.

The measurement of arc BC is 130°.

A circle with origin O, with two line segments AC and BD which are also diameters.

Measurement of arc AB = (3 x -70)° =

Measurement of arc DC= (x +10)° = ∠3

Measurement of arc BC = ∠2 =?

Let angle subtended by the arc AC = ∠1 = (3 x -70)°

Let angle subtended by the arc BD = ∠2

Let angle subtended by the arc DC = ∠3  = ( x + 10)°

Let angle subtended by the arc AD = ∠4

AC and BD are intersecting each other at O.

So, ∠1 = ∠3  (vertically opposite angles)..[1]

∠2 = ∠4 (vertically opposite angles)..[2]

(3 x -70)° =  (x +10)° (from [1])

3x - x = 10 + 70

The circumference of the circle is 360 degrees the circle.

∠1 = ∠3 = (x +10)° = (40 +10)° = 50°

∠1 + ∠2 + ∠3 + ∠4 = 360°

50° + ∠2 + 50° + ∠2= 360° (from [2])

2∠2 = 360° -50° - 50°

2∠2 = 260°

∠2 = 260° ÷ 2

∠2 = 130°

The measurement of arc BC is 130°.

To learn more about the circle visit:

https://brainly.com/question/24375372

#SPJ2

The answer is attached.

Answer:

D. -6.

Step-by-step explanation:

The inverse is the number when added to 6  results in 0.

So it is 0 - 6 = -6.   (6 + -6 = 0)

Answer: x+6

Step-by-step explanation:

6 more than (+) x

Answer:

6.169

-1.009= 5.1 48

Step-by-step explanation:

I did it backwards

Answer:

Top = 6.157 bottom =5.148

Step-by-step explanation:

Answer:

The last one

Step-by-step explanation:

The first one would be multiplication because you want to find the total thickness, the second one is division because it gives the total value and the amount of bags, the third one is addition because it gives you a starting value and says that they work this amount more in this month, and the last one is subtraction because he first pays with a gift card, and then with cash.

Hopefully that helped

The situation that can be represented by the equation 15 - x = 63.75​ is (d)

The equation is given as:

15 + x = 63.75

The above equation is a addition equation.

This means that the situation or scenario that describes the situation must illustrate addition.

From the list of given option, the option (d) perfectly describes the scenario.

This is so because 15 represents the worth of gift card, 63.75 represents the total amount and x represents the amount spent in cash

Read more about linear equations at:

https://brainly.com/question/14323743

Answer:

6

Step-by-step explanation:

The mode of a set of data values is the value that appears most often. ^ appers 4 times.

Answer:

B. 17.6

Step-by-step explanation:

asdasdasdasdasd

Answer:

left

Step-by-step explanation:

because -0.3 is a negative number, it will be on the left side of the x axis.

Answer: The teacher's age increases the mean.

Step-by-step explanation:

14.2 + 27 = 41.2 years

41.2/2 = 20.6 years

20.6 years > 14.2 years

Adding the 27-year-old teacher to the student book club, which has a current mean age of 14.2 years, will increase the mean age of the club.

When a 27-year-old teacher is invited to join the book club with an average age of 14.2 years, the teacher's age will increase the mean (average) age of the club members. This occurs because the mean age is calculated by adding all of the ages together and dividing by the total number of individuals in the group. Adding a number that is significantly higher than the current mean will raise the overall total, which, when divided by the new total number of individuals, will result in a higher average age than 14.2 years. We do not have the exact number of original club members, so we cannot calculate the new mean exactly, but we can confidently say the mean age will increase due to the addition of the 27-year-old teacher's age.

Answer:

B

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

                                  aₙ = 2ⁿ⁻¹

a₅ = 2⁴⁻¹ =2³=8

Answer:

3.04m

Step-by-step explanation:

Time taken to swing the rope = 3.5s

Length of the rope = L

T = 2π√(L / 9.8)

3.5 = 2π√(L / 9.8)

take the square of both sides

(3.5)² =[2π√(L/9.8)]²

12.25 = 39.48 × (L / 9.8)

12.25 = 39.48L / 9.8

39.48L = 12.25 × 9.8

39.48L = 120.05

L = 120.05 / 39.48

L = 3.04m

The length of the rope is 3.04m

Answer:

Step-by-step explanation:

3.0meters

Answer:

your awnser would be be

Step-by-step explanation:

it would be b because i took this test

Answer:

l

Step-by-step explanation:ll

Answer:

x+8y

Step-by-step explanation:

add them all together

Answer: passing through three intersecting edges

Step-by-step explanation:

To create a triangle by slicing a cube, D. pass the slicing plane through three intersecting edges, such as AB, FE, and DH, to intersect the cube and form a triangular cross-section.

To slice through a cube such that the figure formed by the intersecting plane is a triangle, you would need to follow option D, passing through three intersecting edges. Imagine the cube has vertices labeled A to H, with ABCD and EFGH being the top and bottom faces respectively, and the vertical edges connecting the corresponding vertices of these two faces.

By slicing through edge AB, edge FE, and edge DH, you would create a plane that intersects the cube in such a way that the section of the cube cut by this plane is a triangle with vertices at the points where the plane cuts through the edges AB, FE, and DH.

Answer:

The answer is |3x-3|-5

I have RSM too it’s irritating

Answer:

y=|3x-3|-5

Step-by-step explanation:

y=|3x-3|-5

Answer:

1:The base of the rectangular pyramid shown has an area of 50 square inches

2:A triangular face with a base of 10 inches has an area of 28 square inches

3:A triangular face with a base of 5 inches has an area of 17.75 square inches

4:The total surface area of the pyramid is 141.5  square inches.

Step-by-step explanation

Answer:

c) 15

Step-by-step explanation: