In 2000, the average plane ticket cost $323.85. Now, the average place ticket is $342.98. Determine the change in price of the plane ticket.

Answer:22

Step-by-step explanation:27-5

The value of p when q is 2 is 1

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value.

This means that has x increases y will decrease and vice versa.

If p is inversely proportional to q , then p = kq

when p = 2, q = 4

2 = k4

k = 2/4

k = 1/2

When q = 2

p = 1/2 × 2

p = 1

Therefore the value of p is 1

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Answer alternate exterior angles theorem

Step-by-step explanation

just do it

Answer:

I can tell it's the answer number 5

Answer:

let the

radius = diameter/2= 32/2= 16cm

now

perimeter of semi circle = 1/2×22/7×r

= 1/2×22/7×16

= 25.14cm

hence perimeter of semi circle is 25 .14cm

Answer:

-36

Step-by-step explanation:

4(1 - 25) + 70 - 10

PEMDAS

Parentheses first

4( -24) + 70 -10

Then multiply and divide

-96 + 70-10

Then add and subtract

-36

Las cantidades de bolitas para cada una de las tres personas son las siguientes:

Amanda: 19 bolitas

Rodrigo: 15 bolitas

Patricio: 69 bolitas

En este problema tenemos a tres personas (Amanda, Rodrigo y Patricio) que se reparten 103 bolitas, en términos algebraicos, cada persona es representada por las siguientes ecuaciones:

Amanda

x = y + 4

Rodrigo

y

Patricio

z = 2 · (x + y) + 1

Total

x + y + z = 103

A continuación, determinamos la cantidad de bolitas asociada con Rodrigo:

x + y + 2 · (x + y) + 1 = 103

3 · x + 3 · y = 102

x + y = 34

y + 4 + y = 34

2 · y = 30

y = 15

Luego, determinamos las cantidades de bolitas de Amanda y Patricio:

x = 15 + 4

x = 19

z = 2 · (19 + 15) + 1

z = 2 · 34 + 1

z = 68 + 1

z = 69

El enunciado se encuentra escrito en español y el lenguaje de la respuesta es el mismo del enunciado.

The statement is written in Spanish and the language used in the answer is the same of the statement.

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The perimeter and the area of rectangle EFGH are 24 cm and 35 square cm

From the question, we have the following parameters that can be used in our computation:

Side length, AB = 5 cm

Extension AE=AH=FC=GC = 2cm

Using the above as a guide, we have the following:

Dimension of the rectangle = 5 cm By (5 + 2) cm

So, we have

Dimension of the rectangle = 5 cm By 7 cm

The perimeter is then calculated as

P = 2 * (5 + 7) = 24 cm

The area is calculated as

A = 5 * 7 = 35 square cm

Hence, the perimeter and the area of rectangle EFGH are 24 cm and 35 square cm

See attachment for figure

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Answer:

the conclusion is not valid

Answer: The conclusion is valid by the law of syllogism

The law of syllogism follows the basic form:

If P, then Q

If Q, then R

Therefore, if P then R

We can write it like this

\(P \to Q \\\\Q \to R\\\\\therefore P \to R\)

We can think of it like starting at town P, moving to Q, then to R. Or we could go from P directly to R if we aren't worried about the town in the middle (town Q).

The value of cos(2α + β) using trigonometric identities is; -1.0155

We are given;

α = sin⁻¹(4/5)

β = tan⁻¹(12/5)

Thus;

sin α = 4/5

tan β = 12/5

From trigonometric ratios, we can say that;

cos α = 3/5

sin β = 12/13

cos β = 5/13

We know from trigonometric identities that  cos (a + b) = cos a cos b - sin a sin b.

Thus;

cos(2α + β) = cos 2α cos β - sin 2α sin β

Thus;

cos(2α + β) = 2(3/5) * (5/13)) - ((2 * 4/5 * 12/13))

= 0.4615 - 1.477

= -1.0155

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Considering the given equations for revenue and cost, the company will break-even when 356 widgets are sold.

The break-even point is the value of x for which:

R(x) = C(x).

In this problem, the functions are:

Hence:

R(x) = C(x)

16x = 12x + 1424

4x = 1424

x = 1424/4

x = 356

The company will break-even when 356 widgets are sold.

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Answer:

p = 6 , q = 43

Step-by-step explanation:

x² + 12x - 7

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 12x

=x² + 2(6)x + 36 - 36 - 7

= (x + 6)² - 43 ← in the form (x + p)² - q

with p = 6 and q = 43

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

Median household income | Frequency | Relative Frequency

        30,000 - 39,999                   2              2/51 or 3.921%

        40,000 - 49,999                  15            15/51 or 29.411%

        50,000 - 59,999                  21            21/51 or 41.176%

        60,000 - 69,999                  12            12/51 or 23.529%

        70,000 - 79,999                    1               1/51 or 1.960%

                Total                              51            51/51 or 100%

The correct answer is option A which is the ordered pair of point P’ will be (8.75, 5.25).

The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

If pentagon OPQRS is dilated by a scale factor of 7/4 from the origin, to create O’P’Q’R’S’, what is the ordered pair of point P’

Multiply the coordinates of point P by the scale factor 7/4  to get the coordinates of P'.

Given : P(-5,3)

P' (x,y) = P (-5 x 7/4 , 3 x 7/4)

          = P(-8.75, 5.25)

Therefore the correct answer is option A which is the ordered pair of point P’ will be (-8.75, 5.25).

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Answer:

3 blue squares and 6 white squares

Step-by-step explanation:

1 x 3 = 3

2 x 3 = 6

The answer is 3 to 6.

3 to 6 can be represented by 3 blue squares and 6 white squares.

Answer:

It is the last one. Hope this helps (:

Step-by-step explanation:

Answer:

5-4=12x+x

1=13x

1/13=×

The distance of the flag pole from the end of the shadow is 23.32 feet.

A 20 foot flag pole is casting a shadow that is 12 feet long. Therefore, the distance of the top of the flag pole to the tip of the shadow can be calculated as follows:

The situation forms a right angle triangle.

Hence, using Pythagoras's theorem, we can find the distance.

Therefore,

c² = a² + b²

where

Therefore,

20² + 12²  = c²

400 + 144 = c²

c = √544

c = 23.3238075794

Therefore,

distance of the flag pole to the end of the shadow = 23.32 feet

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The blanks that are missing in the sequence are -3 and 11

from the question, we have the following parameters that can be used in our computation:

The blanks in the sequence

When listed out, we have

_, _, 25, 39

Assuming that the sequence, is an arithmetic sequence, then we have

Common difference = 39 - 25

Common difference = 14

This means that

Previous term = 25 - 14 = 11

Firs term = 11 - 14 = -3

So, the missing terms are -3 and 11

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9514 1404 393

Answer:

  (b)  The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.

Step-by-step explanation:

The slope of the relation for Restaurant A is ...

  y/x = 1/10

The slope of the relation for Restaurant B is ...

  y/x = 5/25 = 1/5 = 2×1/10

The slope of the line for Restaurant B is 2 times as great as the slope of the line for Restaurant A.

Answer:

(C) Multiply first equation by -2 and second equation by 3, solution (1, 1)

Step-by-step explanation:

Simultaneous equations are set of equations which possess a common solution. The equations can be solved by eliminating one of the unknowns by multiplying each of the equations in a way that a common coefficient is obtained in the unknown to be eliminated.

Given the simultaneous equations:

3x - 5y = -2

2x + y = 3

First step:

Multiply first equation by -2 and multiply second equation by 3,

-6x + 10y = 4

6x + 3y = 9

Second step:

Add the two equations together,

13y = 13

Divide both sides by 13

y = 1

Third step:

Put y = 1 in the first equation

3x - 5(1) = -2

3x - 5 = -2

3x = 5 - 2

3x = 3

Divide both sides by 3:

x = 1

solution (x,y) = (1,1)

Option C

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Answer:

5

Step-by-step explanation:

not 5

The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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Order of the given expression into smallest to largest are as follow:

\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12} < \frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}\)

As given in the question,

Given expressions are as follow:

\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12},\\\\\frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12}\\\\\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} \\ \\\frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)}\)

Arrange them in the order of smallest to largest by simplifying them,

\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}= \frac{2+4}{24-12\\}\)

          = 0.5

\(\frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12}= \frac{4+\sqrt{2} }{12}\)

          =0.45

\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} = \frac{2+4}{-48}\)

           = -0.125

\(\frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)}= \frac{4+\sqrt{2} }{-48}\)

            = -0.1128

-0.125 < -0.1128 < 0.45 < 0.5

Therefore, order of the given expression into smallest to largest are as follow:

\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12} < \frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}\)

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a) Mean for the first year of the contract: $63,500

The standard deviation for the first year of the contract: $2,000.

b) Mean for the second year of the contract: $65,405.

The standard deviation for the second year of the contract: $60.

We have,

To find the mean and standard deviation for the first year of the contract, we can use the given information and the properties of the normal distribution.

Given:

The mean salary for professors in the previous year = $62,000

Standard deviation in the previous year = $2,000

Raise in the first year = $1,500

Mean for the first year of the contract:

The mean salary for the first year can be obtained by adding the raise to the previous mean:

Mean = Previous Mean + Raise

Mean = $62,000 + $1,500

Mean = $63,500

The standard deviation for the first year of the contract:

Since each professor receives the same raise, the standard deviation remains the same:

Standard Deviation = $2,000

Therefore, for the first year of the contract, the mean salary is $63,500, and the standard deviation remains $2,000.

Now,

In the second year of the contract, each professor receives a 3% raise based on their salary during the first year of the contract.

To find the mean and standard deviation for the second year, we can use the given information and the properties of the normal distribution.

Mean for the second year of the contract:

To calculate the mean for the second year, we need to add a 3% raise to the mean salary of the first year:

Mean = Mean of the first year + (3% * Mean of the first year)

Mean = $63,500 + (0.03 * $63,500)

Mean = $63,500 + $1,905

Mean = $65,405

The standard deviation for the second year of the contract:

Since each professor receives a raise based on their salary from the first year, the standard deviation also increases. To calculate the standard deviation, we multiply the standard deviation from the first year by the percentage increase:

Standard Deviation = Standard Deviation of the first year * (Percentage Increase / 100)

Standard Deviation = $2,000 * (3 / 100)

Standard Deviation = $2,000 * 0.03

Standard Deviation = $60

Therefore, for the second year of the contract, the mean salary is $65,405, and the standard deviation is $60.

Thus,

a) Mean for the first year of the contract: $63,500

The standard deviation for the first year of the contract: $2,000.

b) Mean for the second year of the contract: $65,405.

The standard deviation for the second year of the contract: $60.

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Answer:

The area is 3.14159265359 metre

Step-by-step explanation:

The area of a circle is πr^2

π=3.14159265359

3.14159265359*1*1

=3.14159265359 metre

Answer:

3.34.

Step-by-step explanation:

4.2 * 0.2 + 2.5

= 0.84 + 2.5

= 3.34.

Answer:

3.34

Step-by-step explanation:

the product is 4.2×0.2=0.84

add is 2.5 + 0.84=3.34

\(\huge\mathcal {♨Answer♥}\)

(01)

(02)

(03) Yes, The xavier is correct.

8.953 > 8

8.953 < 9

8.953 is bigger than 8 and smaller than 9.

9.000 - 8.953 = 0.047

(04)

(05)

(06)

(07)

(08)

☆...hope this helps...☆

_♡_mashi_♡_