answer this pls
pls answer​

Answer This Plspls Answer

Answers

Answer 1

Answer:

1/12

Step-by-step explanation:

Given

5/14 x 7/30

Solving

This can easily be solved by using cross-multiplicationIf we are given a fraction a/b, it can be rewritten as a x 1/b⇒ 5 x 1/14 x 7 x 1/30Now combine (7 and 1/14) and (5 and 1/30)⇒ 7 x 1/14 x 5 x 1/30⇒ 7/14 x 5/30⇒ 1/2 x 1/6⇒ 1/12
Answer 2

Answer:

\(\dfrac{1}{12}\)

Step-by-step explanation:

Rewrite the denominators as products of factors, then cancel the common factors.

\(\begin{aligned}\dfrac{5}{14} \times \dfrac{7}{30} & =\dfrac{5}{2 \cdot 7} \times \dfrac{7}{6 \cdot5}\\\\ & = \dfrac{5 \cdot 7}{2 \cdot 7 \cdot 6 \cdot 5}\\\\ & = \dfrac{1}{2 \cdot 6}\\\\ & = \dfrac{1}{12}{\end{aligned}\)


Related Questions

A person is skateboarding to their local skate shop to pick up some sick rims. They skate at 8 miles per hour. The store is 2.5 miles away. How long will it take them to get to the store in hours?

Answers

Answer: 0.3125 hours

Step-by-step explanation:

The formula for time taken to cover a distance is:

= Distance / Speed

Distance = 2.5 miles

Speed = 8 miles per  hour

Time taken = 2.5 / 8

= 0.3125 hours

In minutes this is:

= 0.3125 * 60 mins

= 19 mins approx

Re-write the following system of equations in matrix format and solve them by using Cramer's rule. z+5x= 24 3x+2z+3y=7 -x+2y=-9

Answers

The solution of the given system of equations is (-3, 5/3, -4) by using Cramer's rule.

The given system of equations is given as,z + 5x = 243x + 2z + 3y = 7-x + 2y = -9

To solve the given system of equations by using the Cramer's rule, we have to first represent the given system in matrix format.

             Matrix format: ⎡1 0 5⎤ ⎡x⎤ ⎡24⎤ ⎢0 3 2⎥ ⎢y⎥=⎢7⎥ ⎣-1 2 0⎦ ⎣z⎦ ⎣-9⎦

Using the formula for Cramer's rule, we know that,

                       x = Dx / D, y = Dy / D, z = Dz / D, whereD is the determinant of the coefficient matrix, Dx is the determinant of the matrix obtained by replacing the x column with the constant matrix, Dy is the determinant of the matrix obtained by replacing the y column with the constant matrix, and Dz is the determinant of the matrix obtained by replacing the z column with the constant matrix.

       Calculation of D: D = | A | = ⎡1 0 5⎤ ⎡0 3 2⎥ ⎣-1 2 0⎦

Applying the Laplace expansion along the first column, D = 1 |⎡3 2⎤| - 0 |⎡-1 2⎤| + 5 |⎡-1 3⎤| |⎣2 0⎦| |⎣2 0⎦| |⎣2 0⎦| D = 6 Calculation of Dx: Dx = ⎡24 0 5⎤ ⎡3 2⎤ ⎢7 3 2⎥ ⎢-1 2⎥ ⎣-9 2 0⎦ ⎣2 0⎦

Applying the Laplace expansion along the first column, Dx = 24 |⎡3 2⎤| - 0 |⎡-1 2⎤| + 5 |⎡-9 2⎤| |⎣3 2⎦| |⎣3 2⎦| |⎣3 2⎦|

                          Dx = -18

Calculation of Dy: Dy = ⎡1 24 5⎤ ⎡0 2 2⎤ ⎢0 7 2⎥ ⎢-1 -1 0⎥ ⎣-1 -9 0⎦ ⎣2 0 0⎦

Applying the Laplace expansion along the second column, Dy = 0 |⎡1 5⎤| - 24 |⎡0 2⎤| + 5 |⎡0 2⎤| |⎣-1 0⎦| |⎣-1 0⎦| |⎣-1 0⎦|

                            Dy = 10

Calculation of Dz: Dz = ⎡1 0 24⎤ ⎡0 3 2⎥ ⎢0 3 7⎥ ⎢-1 2 -1⎥ ⎣-1 2 -9⎦ ⎣3 2 0⎦

Applying the Laplace expansion along the third column,

                              Dz = 24 |⎡3 2⎤| - 10 |⎡-1 2⎤| + 0 |⎡-1 3⎤| |⎣2 0⎦| |⎣2 0⎦| |⎣2 0⎦|

                         Dz = -24

Now we have the values of D, Dx, Dy and Dz.

Therefore, x = Dx / D, y = Dy / D, z = Dz / D,x = -18/6 = -3 y = 10/6 = 5/3 z = -24/6 = -4

Hence, the value of x, y, and z is (-3, 5/3, -4) respectively.

Therefore, the solution of the given system of equations is (-3, 5/3, -4) by using Cramer's rule.

Learn more about Cramer's rule

brainly.com/question/30682863

#SPJ11

Evaluate f(x) = 5x – 8 when 8 when I = -3.0, and 4.​

Answers

Answer:

f(3)=3

Step-by-step explanation:

Plugin 3 for x, and simplify

f(x) =5(x)−12

f(3) =5(3)−12

=15−12

f(3)=3

if the f is differentiable, then its derivative is the maximizing argument in the computation of the convex conjugate:

Answers

while the derivative of a differentiable function is important in the computation of the convex conjugate, it is not accurate to say that the derivative is the maximizing argument.

The statement you provided is not entirely accurate. While it is true that the derivative of a differentiable function can play a role in computing the convex conjugate, it is not accurate to say that the derivative is the maximizing argument in the computation of the convex conjugate.

Let's clarify the concepts involved:

Convex conjugate: Given a function f, its convex conjugate (also known as the Legendre-Fenchel transform) is denoted as f∗ and is defined as:

f∗(y) = sup(x)(⟨x, y⟩ - f(x))

Here, sup denotes the supremum (least upper bound), ⟨x, y⟩ represents the inner product of x and y, and f(x) is the original function.

Derivative: The derivative of a function f(x) with respect to x, denoted as f'(x) or df/dx, gives you the rate of change of the function at a particular point.

The relationship between the derivative and the convex conjugate can be seen through the Moreau-Rockafellar duality theorem, which states that if f is a proper, convex, and lower-semicontinuous function, then its convex conjugate f∗ is also proper, convex, and lower-semicontinuous.

In this duality relationship, the gradient (or derivative) of f plays a crucial role, but it is not the maximizing argument itself.

To learn more about differentiable function

https://brainly.com/question/15406243

#SPJ11

Which are steps in the process of completing the square used to solve the equation? 1 = 2(x2 + 2x) 1 = 2x2 + 4x 2 = 2(x2 + 2x + 1) 3 = 2(x + 1)2 2 = 2(x + 1)2

Answers

Answer: 1 2 and 4 hope this helps

Step-by-step explanation:

Answer:

yes, the correct answers are:

A) 1 = 2(x2 + 2x)

B) 1 = 2x2 + 4x

D) 3 = 2(x + 1)2

Step-by-step explanation:

got it correct in edg 2020 hope this is of help :)

(a) what is the probability that the first sample following the mean shift produces a statistics that plots inside the control limits?

Answers

The probability that the first sample following the mean shift produces a statistics that plots inside the control limits: β ^{m-1}( 1-β )

What is Probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Pr(shift found on mth sample) = Pr (not detected for (m-1) samples) x Pr (detected on mth)

= [ 1-(1-β) ]^{m-1} ( 1-β )

=β ^{m-1}( 1-β )

the anticipated number of subgroups to be examined before the shift is seen

ARL=1/{1-β}

Shift not detected on the first sample following the shift:

Pr = 1-(1-β) = β

Pr n successive samples that are outside of the control limits

= ( 1- β )^{n}

f) the likelihood that at least one out of n consecutive statistical plots will fall outside the control limit.

=[1- ( 1- β )]^{n}

=β^{n}

Hence, The probability that the first sample following the mean shift produces a statistics that plots inside the control limits is β ^{m-1}( 1-β )

To learn more about Probability click on the link

https://brainly.com/question/24756209

#SPJ4

If a spinner will land on red 45% of the time, yellow 15% of the time, and blue 40% of the time, what are the chances it wont land on red

Answers

Answer:

55%

Step-by-step explanation:

Chances it wont land on red = chances of blue + chances of yellow

                                                = 55%

For every 3 minutes that Ryan runs on the treadmill, he burns 28
calories. How many calories can he expect to burn if he runs for 24
minutes?

Answers

Answer:

He will burn 224 calories.

Step-by-step explanation:

Multiply 8 by 28 to get your answers because he runs 8 times more in 24 minutes.

:))

4x + 33 = 10x + 3
show your work

Answers

Answer:

on 4x + 33 = 10x + 3, we could use inverse operation and move 10x to left side, which will create -6x+33=3. we could also use the same thing to 33 and get -6x=-30. if we divide -30 by -6, we would get 5

Step-by-step explanation:

4+33=10+3

4+33−33=10+3−33

4=10−3

=5

What is chi-square for association?

Answers

The Chi-Square Test for Association is used to determine if there is any association between two variables

The chi-square test of association is used to determine whether there is an association between two variables. It's really a hypothesis test of independence. The null hypothesis states that the two variables are unrelated, or independent. The alternative hypothesis is that the two variables are related. The following example shows how to perform this test using the SPC for Excel software (by Ajit Tamhane and Dorothy Dunlop, Prentice-Hall, from his Statistics and Data Analysis, 2000). A study was conducted to determine whether job satisfaction was related to income. A total of 901 people participated in the survey. The data are shown below. Use the chi-square test of association to determine whether two variables are associated. 

know more about chi square click here;

#SPJ4

Which of these equations has infinitely many solutions?
A
W+ 12 = 6 + W + 6
B.
W-4 = W+4.
C
W+6 = 3(w+2)
D
W-1 = 4W-8

Answers

Answer:

A. W+ 12 = 6 + W + 6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Meyer used 8 loads of gravel to cover 2/5 of his driveway. How many loads of gravel will he need to cover his entire driveway?

Answers

Answer:Meyer uses 2.5 loads

Step-by-step explanation:Why does he use 2.5? Because, he has 8 loads and with 1 load he covers 2/5 of his driveway so 2 loads covers 4/5 and 2.5 loads cover 5/5 of his driveway

HELP ASAP!! What is the average rate of change between x = -3 and x = 4 for the equation y = 8x2?

Answers

Answer:

\(x=-3\\y=8(-3)^2\\y=8(9)\\y=72\)

\(x=4\\y=8(4)^2\\y=8(16)\\y=128\)

128-72=56

average rate of change is 56

Step-by-step explanation:

Plz let me know if im right

Answer:

8 is the average rate of change

Step-by-step explanation:

Plugin -3 and 4 in for x.

y = 8(-3)^2

y = 72

y = 8(4)^2

y = 128

128-72/4-(-3) = the average rate of change

56/7=8

What is the solution to the system of equations y =- 3x 2 5x 2y 15?

Answers

The solution for system of equation provided as per the given question will be x = -19 and y = 55 or (-19,55).

It is given that the equations are:

y = –3x – 2

Simplifying it further, we get:

y + 3x = -2 (equation 1)

5x + 2y = 15 (equation 2)

Multiplying y + 3x = -2 by 2 and subtracting from 5x + 2y = 15, we get:

2y - 2y + 5x -6x = 15 + 4

-x = 19

x = -19

Plugging the value of x in the equation y + 3x = -2, we get:

y + 3 × - 19 = -2

y - 57 = -2

y = -2 + 57

y = 55

To learn more about equations: https://brainly.com/question/22688504

#SPJ4

use scenario 6-16. on average, how many people will the reporter have to stop before he finds his first democrat?

Answers

On an average, 1.67 people will have to be stopped by the reporter before he finds his first democrat.

What is democrat?

A supporter of democracy, Democratic Party subscriber, a democratic government, or a system of government where the people rule, may be referred to as a Democrat, Democrat, or Democratic.

The central value of a set of data is expressed mathematically as the average of a list of data. It is defined mathematically as the ratio between the total number of units in the list and the sum of all the data. The term "mean" in statistics also refers to the average of a given set of numerical data.

For instance, (2+3+4)/3 = 9/3 = 3 is the average of 2, 3, and 4. As a result, in this instance, 3, which also includes 2, 3, and 4, serves as the central value. Finding the average value of a group of numbers is what average means, then.

Average is calculated by dividing the total number of values by the sum of the individual values.

Learn more about democrat

https://brainly.com/question/29798235

#SPJ4

Can someone help me please

Can someone help me please

Answers

Answer:

x= 70°

Step-by-step explanation:

the lines overlapping the two sides on the triangle mean that those two sides are congruent, meaning that both of those angles would be equal to 70°

witch expression is equivalent to |-5| + |3|
A -8
B -2
C 2
D 8​

Answers

Answer:

D

Step-by-step explanation:

WHEN APPLY MOD | | , we consider making every values in it positive.

so, equation becomes:

+5 + (+3)

= +8

therefore, D 8

Answer:

D

Step-by-step explanation:

The absolute value function always gives a positive result, that is

| - a | = | a | = a

Given

| - 5 | + | 3 |

= 5 + 3

= 8 → D

2(8x +9) -8(7-5x)

Please can someone help

Answers

Answer:

56x-38

Step-by-step explanation:

2(8x+9)-8(7-5x)

16x+18

-8(7-5x)

-56+40x

16x+18-56+40x

Add all like terms

56x-38

Answer:16x + 18 -56+40x=0

16x+40x +18-56=0

56x-38=0

56x=38

X=19/28

Step-by-step explanation:

Newton's law of gravitation state that the force F of attraction between two bodies varies jointly as their masses M1 and M2 and inversely as the square of the distance between them. Two bodies whose centers are 500mi apart attract each other with a force of 15lb.What will be the force of attraction if their masses were tripled and the distance between their centers doubled?​

Answers

I really don’t know this answer I tried everything

how do i solve −3 1/3 ÷ 9

Answers

-3 1/3=-10/3

-10/3 / 9 = -10/3 * 1/9 = -10/27

Hope this helps! Good luck! Bye.

Answer:

0.1

Step-by-step explanation:

-10/3 / 9 = -10/3 * 1/9

aimee has 20 apples and wants to have the same amount of apples in each bag but ends up with more than one bag of apples and each bag to contain more than one apple
work out all the possibilities for all of the number of apples that she could use for each bag

Answers

Answer:

There are 4 possibilities: 2, 4, 5 or 10 apples in each bag.

===========

Let the number of apples in each bag is x, then the number of bags is 20/x.

Since the number of apples in each bag is greater than one and number of bags is greater than one, we have the following conditions:

x > 1 , 20/x > 1 ⇒ x < 20,x is factor of 20.

The factors of 20 between 1 and 20 are:

2, 4, 5, 10

The possibilities are:

If x = 2, then the number of bags is 20/2 = 10;If x = 4, then the number of bags is 20/4 = 5;If x = 5, then the number of bags is 20/5 = 4;If x = 10, then the number of bags is 20/10 = 2.

Find the equation of the line parallel to -2x +y = 3, that passes through the point
(-3,-1). Write your answer in slope-intercept form. Do not use spaces in your
answer. Enter any fractions like a/b or -a/b.

Answers

Answer:

y=-2x-9

Step-by-step explanation:

First, convert -2x+y=3 to an expression in slope-intercept form. This will be written as y=-2x+3.

Parallel lines have the same slope.

So, the slope of the new line will also be -2x.

Now, use the given coordinates and put them and the slope into point-slope form.

Point slope: y-y1=m(x-x1)

y+3=-2(x+3)

Finally, distribute -2 to (x+3) and simplify the equation.

y+3=-2x-6

y=-2x-9

Find an expression which represents the sum of (3x+9y)(3x+9y) and (5x+7y)(5x+7y) in simplest terms.

Answers

The expressions (7x - 6y) and (3x - 5y) added together result in 10x - 11y.

What is unitary method?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.

On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Consider your square as being composed of smaller unit squares.

The number of unit squares necessary to completely cover the surface area of a specific 2-D shape is used to calculate the area of a figure. Some typical units for measuring area are square cms, square feet, square inches, square meters, etc.

Draw unit squares with 1-centimeter sides in order to calculate the area of the square figures shown below. The shape will therefore be measured.

According to our question-

(7x – 6y) and (3x – 5y

Then the sum of the expressions will be

(7x – 6y) + (3x – 5y)

7x – 6y + 3x – 5y

10x – 11y

Hence, The expressions (7x - 6y) and (3x - 5y) added together result in 10x - 11y.

learn more about unitary method click here:

brainly.com/question/24587372

#SPJ4

Find the perimeter
x + 7y

8x-x+y units

units
The perimeter is units.
(Simplify your answer. Do not factor)

Answers

Thus, the linear equation for the perimeter if the rectangle is found as:

P = 2(8x + 8y) units.

Explain about the perimeter of rectangle?

P = (L + W) 2 is the perimeter rule for a rectangle, where P stands for perimeter, L for length, and W for width.

To find the perimeter of a rectangle with specified dimensions, all you need to do is enter the values of L and W into the formula.

The perimeter calculation can be used, for instance, to calculate how many feet with brick border are required overall if the rectangle  depicts a garden that requires a brick border.

Given data:

Length = x + 7y units

Width = 8x-x+y units

perimeter P = 2(L + W)

P = 2(x + 7y + 8x - x + y)

adding the same variables.

P = 2(8x + 8y)

Thus, the linear equation for the perimeter if the rectangle is found as:

P = 2(8x + 8y) units.

Know more about the perimeter of rectangle

https://brainly.com/question/10452031

#SPJ1

Complete question:

Find the perimeter

Length = x + 7y units

Width = 8x-x+y units

A craftsman wants to build this fiddle. He needs to know the area of the face of the fiddle. How could he use the measurements shown to find the​ area?

Answers

The Area of Trapezium is 50, 267 mm².

We have,

base 1 = 224 mm

base 2 = 77 mm

Height = 334 mm

Now, Area of Trapezium

= 1/2 (Sum of parallel side) x height

= 1/2 (224 + 77) x 334

= 1/2 x 301 x 334

= 50, 267 mm²

Learn more about Area here:

https://brainly.com/question/27683633

#SPJ1

Two containers P and Q are filled with different amounts of water. Each container has a small hole. The graph shows the amount of water, V milliliters, left in each container after x minutes.

Explain what the y-intercept means in this scenario.

Two containers P and Q are filled with different amounts of water. Each container has a small hole. The

Answers

Answer:

Step-by-step explanation:

Equation of the line for container O and container P will be in the form of,

y = mx + b

Here m = slope of the line = Change in amount of water per minute

b = y-intercept

From the graph attached,

y-intercept 'b' represents the initial amount of water in the container.

For container O, initial amount of water in the container is 1000 mL.

Similarly, initial amount in the container is 900 mL.

type the correct answer in the box. simplify the following expression into the form a bi, where a and b are rational numbers. ( 4 − i ) ( − 3 7 i ) − 7 i ( 8 2 i )

Answers

The final simplified expression is: -211/7i - 3/7

To simplify the given expression, let's work step by step:

(4 - i)(-3/7i) - 7i(8/2i)

First, let's simplify each multiplication:

(4 * -3/7i - i * -3/7i) - (7i * 8/2i)

Now, simplify further:

(-12/7i + 3/7i^2) - (56/2)

Remember that i^2 is equal to -1:

(-12/7i + 3/7(-1)) - (28)

Simplify the expression:

(-12/7i - 3/7) - 28

Combining like terms:

-12/7i - 3/7 - 28

Now, let's express the terms as a single fraction:

-12/7i - 3/7 - 196/7

Combine the numerators:

(-12 - 3 - 196)/7i - 3/7

Simplify further:

(-211)/7i - 3/7

The final simplified expression is:

-211/7i - 3/7

To know more about Expression related question visit:

https://brainly.com/question/28170201

#SPJ11

Solve for the?
Pls actually help

Solve for the? Pls actually help

Answers

8172737484949271726262

problem: report error anabel's horse runs $24$ miles per hour. jackie's horse runs $28$ miles per hour. both horses stand at the starting line of a straight $2$-mile track, and jackie's horse starts running $30$ seconds after anabel's. how many miles from the starting line does jackie's horse catch up to anabel's?

Answers

The miles from the starting line does which jackie's horse catch up to Anabel's is 1.4 miles.

What is defined as the rate?The unit rate is distinct from the rate, which compares a certain number of units of first quantity to one unit of a second quantity. To put it another way, the second quantity with in comparison has always been 1. One minute, for example, has 60 seconds. As a result, we can convey that as 60 seconds per minute as a unit rate.

Let the distance covered by Jackie's horse be 'd'.

Let the time taken be 't'.

Distance = time * rate

Jackie's horse travelled distance; d = 28t   .....eq1

Anabel's horse travelled the distance d = 24t + 1/5.  .....eq2

Equating equation 1 and 2.

28t = 24t + 1/5

Simplifying.

4t = 1/5

t = 1/20 hour.

The same distance can be covered in 1/20 hour ;

Put the value of t in eq 1.

d = 28t

d = 28(1/20)

d = 12/5 miles

d = 1.4 miles

Thus, the miles from the starting line does which jackie's horse catch up to Anabel's is 1.4 miles.

To know more about the rate, here

https://brainly.com/question/119866

#SPJ4

A sphere has a radius of 6.2 centimeters. what is the approximate lateral surface area?

Answers

Answer:

483.05

Step-by-step explanation:

the surface area of sphere =

4×pi ×r^2=

4×pi×6.2

Other Questions
ASAP PLEASE HELP ME!!!!Who is your favorite character in Romeo and Juliet? Why?Three sentences. subtract (7x^5-12x^2y+33y^2) from (5x^5-5x^2y+9y^2) simplify your results: What is the Goddess Hestia from? YALL HELPPP What is the initial value of the function represented by this table? give response to this reply in 100 wordsThe accounts affected by closing entries are revenue accounts, expenses, dividends, and summary accounts. These accounts are affected because they include a closing entry which is a process that closes each account as the information is shifted to each statement. A closing journal entry is entered at the end of each accounting based on the organization's fiscal year. The more endless accounts such as liabilities, equities, and assets like stocks are continuously monitored for the next year and are necessary to analyze the company's financial practices. These earnings are kept and are not impacted by the closing journal entry. Being that there is a lot of fine-tooth combing when it comes to tracking down the finances of different accounts I could understand how it would feel time- consuming and frustrating for any local business owner. If I were to provide any information on the importance of providing accurate financial projections for his business. I would explain that if he were to maintain his books he would be able to see that the closing entries of each account would show exactly where his revenue is flowing and exactly what his expenses are to keep him On Sunday, a local hamburger shop sold a combined total of 320 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Sunday? Based on a poll, among adults who regret getting tattoos, 13% say that they were too young when they got their tattoos.Assume that ten adults who regret getting tattoos are randomly selected, and find the indicated probability. Completeparts (a) through (d) below. From the moment that the Other June meets June, she is mean to her. Why do you think the Other June did this? In your opinion, what drives a person to bully other people? How could this help us find solutions for bullying? dr. craft has decided to buy a megamillions lottery ticket. despite the fact that there is a 1 in 176,000,000 chance that he will win, he thinks that he can win it this time because this is his lucky day. dr. craft is suffering from what (among other things)? Chris ran 23.7 miles less than Laura last week. Chris ran 8.3 miles. How man miles did Laura run? write a telephone conversation between -caller name is WHO -operator name is Asking when did Universal Declaration of Human Rights declared What did the Chavns and the Incas have in common? Both civilizations lived in the Andes Mountains. Both civilizations lived along the Gulf Coast. Both civilizations fell around 200 BCE. Both civilizations fell in the 1530s. Check these answers. Should Delaware change the driving age? Healthcare workers should only share protected health information in ______ situations. Dramatic irony in the story the open boat The original price of a skateboard was $85. The owner of the storemarked it 20% off. Calculate the discount and sale price. 1. liola drives 130 m up a hill that has a slope of 7. what horizontal distance, to the nearest hundredth of ameter, has she covered?o 129. 03 mo 15. 84 mo 15. 96 mo 130. 97 m A group of friends wants to go to the amusement park. They have $81 to spend on parking and admission. Parking is $15, and tickets cost $22 per person, including tax. Which equation or tape diagram could be used to represent the context if x represents the number of people who can go to the amusement park?