**Answer:**

**28 miles**

**Explanation:**

The equation that describes the relationship between the fare and the number of miles is:

f = 2.25 + 0.20(m - 1)

Where f is the fare and m is the number of miles.

So, if the taxi fare was $7.65, we can replace f by 7.65. Then:

7.65 = 2.25 + 0.20(m - 1)

Therefore, we can calculate the number of miles by solving the equation for m. So, subtracting 2.25 from both sides:

7.65 - 2.25 = 2.25 + 0.20(m - 1) - 2.25

5.4 = 0.20(m - 1)

Dividing by 0.20, we get:

[tex]\begin{gathered} \frac{5.4}{0.20}=\frac{0.20(m-1)}{0.20} \\ 27=m-1 \end{gathered}[/tex]Finally, add 1 to both sides:

27 + 1 = m - 1 + 1

28 = m

So, he travels 28 miles in the taxi

Many graduate schools require applicants to take a certain test. Those taking the test receive three scores: a verbal reasoning score, a quantitative reasoning score, and an analyticalwriting score. In 2013, the average quantitative reasoning score exceeded the average verbal reasoning score by 1.3 points, and the average verbal reasoning score exceeded theanalytical writing score by 150.5 points. The sum of the three average scores was 305.9. What was the average score for each category?The average verbal reasoning score was (Type an integer or a decimal.)The average quantitative reasoning score was (Type an integer or a decimal.)The average analytical writing score was (Type an integer or a decimal.)

*Many graduate schools require applicants to take a certain test. Those taking the test receive three scores: *

*a verbal reasoning score, *

*a quantitative reasoning score,*

*an analytical writing score.*

Let average verbal reasoning score represent by **v**

Let average quantitative reasoning score represent by **q**

Let average analytical writing score represent by **a**

*In 2013, the average quantitative reasoning score exceeded the average verbal reasoning score by 1.3 points *

i.e.,

Average quantitative reasoning score - average verbal reasoning = 1.3

q - v = 1.3 ...(1)

*The average verbal reasoning score exceeded the analytical writing score by 150.5 points.*

i.e.,

Average Reasoning score - average analytical writing = 150.5

v - a = 150.5 ...(2)

*The sum of the three average scores was 305.9.*

i.e.,

v + q + a = 305.9 ...(3)

Simplify the equation (1), (2) and (3) to get the value of q,v and a;

Add equation (1) and (2)

(q-v) + (v-a) = 1.3 + 150.5

q + a = 151.8 ....(4)

Substitute the value of (q+a=151.8) in the equation (3);

v + q + a = 305.9

v + 151.8 = 305.9

v = 305.9 - 151.8

**v = 154.1**

Substitute the value of v = 154.1 in the equation (2);

v - a = 150.5

154.1 -a = 150.5

a = 154.1 - 150.5

**a = 3.6**

Now, substitute the value of a = 3.6 in the equation (4)

q + a = 151.8

q + 3.6 = 151.8

q = 151.8 - 3.6

**q = 148.2**

**Answer :**

**The average verbal reasoning score was 154.1**

**The average quantitative reasoning score was 148.2**

**The average analytical writing score was 3.6**

Given this equation, what would the restriction be?X+6/x= -7

**Given:**

The equation is:

[tex]x+\frac{6}{x}=-7[/tex]**Find-:**

Restrictions for this equation

**Explanation:**

The equation is:

[tex]\begin{gathered} x+\frac{6}{x}=-7 \\ \\ \frac{x^2+6}{x}=-7 \end{gathered}[/tex]The denominator is not equal to zero. If the denominator is zero, then the function is undefined.

Then the restriction is:

[tex]x\ne0[/tex]For the function value of x is:

[tex]\begin{gathered} \frac{x^2+6}{x}=-7 \\ \\ x^2+6=-7x \\ \\ x^2+7x+6=0 \\ \end{gathered}[/tex]The value of "x" is:

[tex]\begin{gathered} x^2+6x+x+6=0 \\ \\ x(x+6)+1(x+6)=0 \\ \\ (x+6)(x+1)=0 \\ \\ x=-6\text{ and }x=-1 \end{gathered}[/tex]So above function value of x is possible only -6 and -1 then the restriction value is all real numbers except only -6 and -1

[tex][/tex]Hi, I was absent while my class learned this and I am unsure of how to solve for either. Any help/ explanation would be appreciated. Thanks!

Given: The figure shown

To Determine: The value of EF

Solution

Using intersecting chord theorem that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal.

Applying the theorem to the given would give us

[tex]CD\times DP=EF\times FP[/tex]Therefore

[tex]\begin{gathered} 11cm\times9cm=EF\times10cm \\ 99cm^2=EF\times10cm \\ EF=\frac{99cm^2}{10cm} \\ EF=9.9cm \end{gathered}[/tex]2. Let us label the the image given

tammy deposits $8,000 into an account that pays simple interest at a rate of 3% per year how much interest will she be paid in the first 4 years

[tex]\begin{gathered} \text{Simple interest = }\frac{\text{PRT}}{100} \\ P=\text{ principal}=8000 \\ R=\text{rate}=2\text{ \%} \\ T=\text{Time}=4 \\ \text{simple interest = }\frac{8000\times3\times4}{100} \\ \text{simple interest=}\frac{96000}{100} \\ \text{simple interest=\$960} \end{gathered}[/tex]

What is the value of x in the equation -2 = 5x + 3?

A 1

B 1/5

C-1

D-3 2/5

It’s c … -1 because 5 times -1 equals -5. So , -5 +3 equals -2. I hope this helps :)

**Answer:**

C

**Step-by-step explanation:**

- 2 = 5x + 3 ( subtract 3 from both sides )

- 5 = 5x ( divide both sides by 5 )

- 1 = x

Given h(x) = –x – 3, find h(-6).

To find h(-6), replace x = -6 into the function, as follows:

h(x) = -x - 3

h(-6) = -(-6) - 3

h(-6) = 6 - 3

**h(-6) = 3**

Can someone help me?? I just need 2 and 3

The current area of Mr. Milstein's kitchen table is:

[tex]=17\frac{1}{2}\text{ square fe}e\text{t}[/tex]The new width of Mr. Milstein's kitchen table = 5 feet

The area of the new kitchen table if the length is l is given by

[tex]\text{ Area (A) = length x width = 5l}[/tex]Note that the area of the proposed kitchen table should be larger than the current one.

[tex]\begin{gathered} \text{ The current area = }17\frac{1}{2}\text{ square fe}e\text{t} \\ \text{ The new area = 5 x l = 5l} \\ \text{ Therefore,} \\ \text{ proposed area > new area} \\ \text{ 5l >}17\frac{1}{2}\text{ square fe}e\text{t} \end{gathered}[/tex]Therefore,

[tex]\text{ 5l >}17\frac{1}{2}\text{ square fe}e\text{t can be used to get the length of the new table}[/tex]The correct option is** F**

You are the owner of Caché, a chain of women's clothing boutiques. Your state has a sales tax of 7%, and your city has an additional sales tax of 1.5%. Each quarter you are responsible for making these tax deposits to the city and state. Last quarter your stores had total revenue, including sales tax, of $271,250.

(a) 250000 of this **revenue **was sales and $11250 much was** sales tax.** (b) $11250 of sales tax should be sent to the city and $3750 sales tax should be sent to the state.

Let us assume that the total sales are $X.

According to the given situation, **7%** is the sales tax and an additional state sales tax of **1.5% **will be charges on the sales.

The total revenue including sales tax is $271250.

(a) **Total revenue** = sales + total sales tax

So, we can write,

X + X(7+1.5)% = 271250

Solving further,

X + X(8.5%) = 271250

X + 8.5X/100 = 271250

108.5X = 271250×100

X = 250000

**Total sales **is $250000.

Total** sales tax** is $(2710250-250000)

Total sales tax is $21250.

(b) Total sales is $250000.

Tax charges by city is 7%.

Using percentage formula,

**Percentage of tax = Total tax amount/Total sales amount × 100**

Putting all the values,

7 = Total tax amount/250000 × 100

Total tax amount = 7 × 2500

Total tax amount = 17500 dollars.

Total amount to be sent to the city is 175000$.

(c) Total sales is $250000.

Tax charges by city is 1.5%.

Using **percentage formula,**

Percentage of tax = Total tax amount/Total sales amount × 100

Putting all the values,

1.5 = Total tax amount/250000 × 100

Total tax amount = 1.5 × 2500

Total tax amount = 3750 dollars.

Total amount to be sent to the city is 175000$.

To know more about** Percentage formula,** visit,

https://brainly.com/question/843074

#SPJ1

On a public transportation map, two stations are 9 centimeters apart, whereas in real life thedistance between them is 3 kilometers. What is the scale of the map?Write your answer in simplest form using whole numbers.centimeters =kilometers

Given:

The distance between two stations in map, D= 9cm.

The distance between two stations in real life, d=3 km.

Now, to find the scale of the map take the ratio of D/d .

[tex]\frac{d}{D}=\frac{3\operatorname{km}}{9\text{ cm}}=\frac{1\operatorname{km}}{3\text{ cm}}=\frac{1}{3}\frac{km}{\operatorname{cm}}[/tex]So, the scale of the map is **1 km=3 cm**.

A grandfather wants to know the average height of all his grandchildren. He finds that the heights of his 9 grandchildren aregiven in inches by

mean = sum of the heights / number of grandchildren

[tex]=\frac{63+71+60+59+74+60+60+75+58}{9}[/tex][tex]=\frac{580}{9}[/tex][tex]\approx64.4[/tex]I need help with this question but no one is helping me! Can someone please help me

**Answer:**

Find the following probabilities if you are dealt cards from a standard 52-card deck. Round your answers to three decimal places.

a. If a card is randomly selected, what is the probability that the card is a heart?

13/52 = 1/4

b. If a card is randomly selected, what is the probability that the card is either a club or a spade?

26/52 = 1/2

c. If a cards is randomly selected, what is the probability that the card is both a club and a spade?

0

d. If two cards are randomly selected, what is the probability of drawing a three first, then drawing a jack?

4/52·4/51 = 4/663 = 0.006033182503

e. If two cards are randomly selected, what is the probability of drawing a heart first, then drawing a diamond?

13/52·13/51 = 13/204 = 0.06372549019

f. If two cards are randomly selected, what is the probability of drawing a face card followed by drawing an ace?

12/52·4/51 = 4/221 = 0.01809954751

g. If two cards are randomly selected, what is the probability of drawing a diamond first, then drawing an eight?

12/52·4/51 + 1/52·3/51 = 1/52 = 0.01923076923

I need help with my math

Please provide the question.

We are asked to select the mathematical expressions that represent 40% of 84

We then recall that the mathematical form of 40% is in fact 40 / 100 = 0.4

Then, 40% of 84 can be written in math terms as:

40/100 times 84 = 40/100 * 84

or also

0.4 times 84 = 0.4 * 84

Therefore there are TWO options we can select in the list of possible answers:

Answer C and answer E

The function D = 25 + 0.3x represents the daily rental charge D (in dollars) for x miles driven. Is the domain discrete or continuous?

Hello!

First, let me explain the difference between discrete and continuous.

**Discrete**: only some numbers of the interval are on the input. For example, in the interval 1 - 10, consider only the integers.

**Continuous**: all the numbers of the interval are on the input. For example: in the interval 1 - 10, all values are considered (integers and decimals).

Knowing it, let's analyze your exercise:

The function D = 25 + 0.3x represents the daily rental charge D (in dollars) for **x miles driven**.

We can represent miles as integers and also decimals, right?

• 2 miles

,• 5.750 miles

So, it means that **all values can be considered**.

So, **this is a continuous domain**.

He invested $ at 8% and Sat 12%

An actor invests some money at 8%, and $36000 more than twice the amount at 12%. The total annual interest earned

from the investment is $26400. How much did he invest at each amount? Use the six-step method.

K

oney at 8%, and $360

This will be his **initial investment**. The **amount** for 8% will be 84000, and the amount for 12% will be 204000.

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.

let x = the money invested at 8%

y = the money invested at 12%

an actor invests some money at 8% and 36,000 more than four times the amount at 12%

x = 36000 + 2y

total** annual interest** earned from the investment is 26400

0.08*x + 0.12*y = 26400

by solving the system of equations

x = 36000 + 2y

0.08*x + 0.12*y = 26400

solving the equations,

0.08(36000+2y)+0.12y=26400

2880+0.16y+0.12y=26400

y=84000

x=204000

The** amount **for 8% will be 84000, and the amount for 12% will be 204000.

To know more about** equations** here,

https://brainly.com/question/14686792

#SPJ13

A player kicks a soccer ball from a height of 2 feet. The ball reaches A maximum height of 20 feet after traveling 40 feet horizontally. And is caught by the goalkeeper 70 feet from where it was kicked. The path of the ball can be modeled by a parabola where why is the height in feet an exit the horizontal distance traveled in feet. At what height is the goalkeeper catch the ball?

The **height is 9.875 feet **from which the goalkeeper catches the ball.

The player kicks soccer from a height of 2 feet

x = 0 and y = 2

Maximum height of 20 feet after traveling 40 feet

x = 40, y = 20

So let y = a(x - 40)² + 20 (** the path of parabola**)

Since x = 0 , y = 2

So, 2 = a(0 - 40)² + 20

2 = 1600a + 20

-18 = 1600a

a = - 9/800

Thus, y = -9/800(x - 40)² + 20

Since the soccer is caught by the goalkeeper 70 feet from where it was kicked

x = 70

So at this time,

y = -9/800 ( 70 - 40)² + 20

= -9/800 × 900 + 20

= - 81/8 + 20

= 79/ 8

= 9.875 feet

Therefore the** height **at which the **goalkeeper catches the ball** is **9.875** **feet.**

To know more about **the height **refer to the link given below:

https://brainly.com/question/27030273

#SPJ1

Part 1 of 2

Two of the most expensive cars in the world are car A and car B. The prices of these two cars differ by more than $10,000. The price of car Ais $130,745

a. Assuming that you do not know which model is more expensive, write an absolute value inequality that describes this situation. Use x for the price of car B.

b. What are the possibilities for the price of car B?

The **absolute value inequality **is given by | x-130745 | > 10000

and the possibility of Car B is x < 120745 or x > 140745

What is **absolute value inequality?**

**Absolute value inequality **are inequalities in algebra that involve algebraic expressions with absolute value symbols and inequality symbols. In simple words, we can say that an absolute value inequality is an inequality with an absolute value symbol in it. It can be solved using two methods of either the number line or the formulas.

x = price of car B

x-130745 = difference in price from car A to car B

If x is the larger price, then x-130745 will be positive. If x is the smaller price, then x-130745 is negative.

In short,

x-130745 > 0 when x > 130745

x-130745 < 0 when x < 130745

Using absolute value will give us

|x-130745| = positive difference in price

The result of an absolute value is never negative

We write the |x-130745| > 10000 to indicate that the difference in price is more than 10000 dollar

| x-130645 | > 10000

Part b.

We'll use the idea that if |x| > k, then x < -k or x > k

to get the following

|x-130745| > 10000

x-130745 < -10000 or x-130745 > 10000

x < -10000+130745 or x > 10000+130745

x < 120745 or x > 140745

Car B has a price less than $120,745

OR

Car B has a price greater than $140,745

So basically anything that is not between 120745 and 140745. The price has to be positive of course.

To know more about **absolute value inequalities, **visit:

https://brainly.com/question/13344207

#SPJ9

20 POINTS, GET MARKED AS BRAINLIST IF RIGHT

P (B U C) is 0.1675 when B and C are **independent **and P (B U C) is 0 when B and C are **mutually exclusive**.

An **Independent Event** is defined as if the **outcome **of one event has no bearing on the outcome of the other, the two events are said to be independent events. Or, we may say that an **event **is considered independent if it does not **affect **the **probability **of another event. Probability-independent events mirror actual **occurrences**.

Let B and C be two events such that P(B) = 0.25 and P(C) = 0.67.

To determine P (B U C),

Given that B and C are independent.

Since B and C are **independent events**, we can just **multiply **the **probabilities **together, 0.25 × 0.67 = 0.1675

To determine P (B U C),

Given that B and C are mutually exclusive.

Since B and C cannot both **occur **at the same moment by definition because they are **mutually exclusive**, the **answer **is 0.

Therefore, P (B U C) is 0.1675 when B and C are **independent **and P (B U C) is 0 when B and C are **mutually exclusive**.

Learn more about the **Independent Events** here:

https://brainly.in/question/4042290

#SPJ1

An expression is shown below.

(3x² + 2x − 5) − (5x² − 4x + 1)

A)-2x² +6x-6

B)-2x² - 2x - 4

8x²+6x-6

D) 8x² - 2x - 4

**Answer:**

Result of [tex] \tt{}(3 {x}^{2} + 2x - 5) - ( {5x}^{2} - 4x + 1)[/tex] is [tex]\tt{} - {2x}^{2} + 6x - 6.[/tex]

**Step-by-step explanation:**

[tex] \tt{}(3 {x}^{2} + 2x - 5) - ( {5x}^{2} - 4x + 1)[/tex]

[tex]\tt{} {3x}^{2} + 2x - 5 - {5x}^{2} + 4x - 1[/tex]

[tex]\tt{} - {2x}^{2} + 6x - 6[/tex]

PLEASEE HELP THIS IS DUE 2DAY!!!!!!

Create and solve a word problem using the equation 2×+12>2(×+6).include steps and strategies on how to solve the word problem

2×+12>2(×+6)

2x+12>2x+12

-2x-12 -2x -12

That would be infinite

2x+12>2x+12

-2x-12 -2x -12

That would be infinite

A vehicle travels 426 kilometers in 6 hours. Find the unit rate

Kilometers per hour

Unit of measurement: km (kilometers)

Speed = distance/time (s = d/t)

Distance: 426 km

Time: 6 hours

Plug these values into the format S = d/t

S = 426 km/6 hours

S = 71 kph

The vehicle traveled 71 kilometers per hour.

Speed = distance/time (s = d/t)

Distance: 426 km

Time: 6 hours

Plug these values into the format S = d/t

S = 426 km/6 hours

S = 71 kph

The vehicle traveled 71 kilometers per hour.

Find g(x), where g(x) is the translation 4 units down of f(x)=x.

Write your answer in the form mx+b, where m and b are integers.

(Will mark best answer brainliest)

**Answer:**

g(x) + 4 = x

g(x) = x - 4 which is probably the answer you should submit.

**Step-by-step explanation:**

Givens

f(x) = x

g(x) +4 = f(x)

Comment

f(x) and g(x) are forms of y or z. What they mean is that whatever x is on the left, it will be make the same on the right. It is just a short hand to help you in defining the y value.

If you want to move down, The y value is the one to notice. Notice that it is not intuitive. If you want to go down the sign on y + 4 = x is the equation you use. It is the exact opposite of what you think it should be. The graph below should help you.

The red line is f(x) = x

The blue line is g(x) + 4 = x.

The blue line can be written as g(x) = x - 4 which would be more inetuitive.

3 sisters age combined are 57. Jenny is 6 years

older then Lynn. Kim is 5 less then twice the age of

Lynn age. What are each sisters ages

**Answer:**

**Step-by-step explanation:**

Jenny is 20 years old

Lynn is 14 years old

Kim is 23 years old

Compare 2x + 8 > 18 and 2c +8 < 18.

The given inequalities are :

2x + 8 > 18

2c + 8 < 18

Inequality 1 : 2x + 8 > 18

Simplify

Subtract 8 from both side :

2x + 8 - 8> 18 - 8

2x > 10

Divide both side by 2

**x > 5**

Inequality : 2c + 8 < 18

2c + 8 < 18

Subtract 8 from both side:

2c + 8 - 8 < 18 - 8

2c < 10

Divide both side by 2:

2c/2 < 10/2

**c < 5**

So, the solution is x > 5 and c < 5

So, **equation will be : c < x < 5**

Which of the following boxes should replace the question mark (?) to complete the pattern?

The most appropriate choice for **pattern** will be given by

Option E is the correct option

**What is pattern?**

**Repeated arrangement** of number or shape is called **pattern.**

Here,

Let the boxes be counted row wise

The question is all about filling all the blank boxes with orange colour.

Let the pattern be solved column wise

In the first column,

In first figure

The 2nd, 3rd and 4th boxes are filled with orange colour

Then in the second figure 5th box is filled with orange colour

To complete filling all the boxes with orange colour, 1st, 6th, 7th, 8th and 9th boxes are left. That is shown in the third figure.

In the third column

In first figure

The 5th, 6th and 9th boxes are filled with orange colour

Then in the second figure

1st, 2nd, 4th, 7th and 8th boxes are filled with orange colour

To complete filling all the boxes with orange colour, only the 3rd box is left

That is shown in third figure

Now, in the second column,

In the first figure,

1st, 7th and 8th boxes are filled with orange colour.

Then in the second figure 3rd, 6th and 9th are filled with orange colour

To complete filling all the boxes with orange colour, 2nd, 4th and 5th boxes are left.

That is shown in option E

So option E is correct

To learn more about **pattern**, refer to the link-

https://brainly.com/question/17386984

#SPJ9

Jessie has 5 dogs. 2 of them are male and 3 of them are female. What percent of the dogs are male?

**Given **

Jessie has 5 dogs

2 are male

3 are female

**Procedure **

What percent of the dogs are male?

Male dogs

[tex]\frac{2\text{males}}{5\text{ total}}=0.4=40\text{ \%}[/tex]**40 % of dogs are male**

Define a variable, set up an equation, then solve. the sum of two numbers 146. the larger number is 16 less than five times the smaller number. find both numbers.

Answer:

The smaller number = 27

The larger number = 119

Explanations:Let the smaller number be x

Let the larger number be y

The sum of the two numbers is 146

x + y = 146..............(1)

The larger number is 16 less than five times the smaller number

y = 5x - 16.............(2)

Substitute equation (2) into equation (1)

x + (5x - 16) = 146

x + 5x - 16 = 146

6x = 146 + 16

6x = 162

x = 162/6

x = 27

Substitute the value of x into equation (2)

y = 5(27) - 16

y = 135 - 16

y = 119

The smaller number = 27

The larger number = 119

Select the correct answer.

Which expression is equivalent to ³+2+3 if no denominator equals zero?

=+1

OA.

3

B.

+3

OC. 2-3

OD. +

The **second expression** 1/(x^2 - 4x + 3) is **equivalent** to the given expression.

**What are the equivalent expression?**

**Expressions** that are **equivalent** do the same thing even when they have **distinct appearances**. When we enter the same value(s) for the variable, two **algebraic expressions** that are **equivalent** have the same value (s).

Consider the given expression,

((x + 3) / (x^2 - 2x - 3)) / ((x^2 + 2x -3)/ (x + 1))

We can write the expression as,

((x + 3) / (x^2 - 2x - 3)) x ((x + 1) / (x^2 + 2x -3))

Rewrite the equation x^2 - 2x - 3 and x^2 + 2x -3 as,

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

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

plug these values in the above expression, we get

((x + 3) / ((x - 3)(x + 1)) x ((x + 1) / ((x + 3)(x - 1))

After solving this, we get

1 / ((x - 3)(x - 1) = 1 / (x^2 - 4x + 3)

Therefore, the second expression is equivalent to the given expression.

To know more about the **equivalent expressions**, click on the link

https://brainly.com/question/2972832

#SPJ13

Patrick is a mountain climber. One morning, he drove to the base of a mountain whichwas at an elevation of 900 meters. While he climbed, he gained an average of 45 metersof elevation per hour. What is the slope and y-intercept of the function representingPatrick's elevation during his climb?

**45 represents the slope while -900 is the y-intercept of the function**

Here, we want to write the slope and y-intercept of the function that represents Patrick's elevation during his climbing

From the question, we are told that he averaged an elevation of 45 meters per hour

What the slope basically does is to measure a rate of change. As we can see from here, the change represents a rate and thus, we have this as our slope

To get the y-intercept of the function, we can see this as a distance of -900 meters

The reason for this is that we can see the summit of the mountain as 0 m

So we can represent the equation as;

[tex]y\text{ = 45x-900}[/tex]What is the solution to the division problem below? (You can use long divisionor synthetic division.)2x3 - 4x2 – 3x-9X-3A. 2x2 + 3x + 3B. 2x2 + x + 3C. 2x2 + 4x + 3O D. 2x2 + 2x+3

The answer for this process of long division is, therefore:

[tex]q=2x^2+2x+3[/tex]To find the result for this long division, we needed to divide the first term of the polynomial by the x in the divisor. Then, if we see the first graph, we have:

[tex]\frac{2x^3}{x}=2x^2[/tex]Then, we need to multiply this term by the divisor (x - 3), and then, subtract the result from the first two terms of the dividend. We can see as follows:

Write the correct equation for the following statement.

You decide to rent a limo for prom. The rate is $175 plus $5 per mile

traveled. Write an equation to calculate your total cost (c) at the end of the evening for a given number of miles (m).

If you travel 45 miles what will be your total bill at the end

of the evening?

**Answer:**

**Step-by-step explanation:**

If I did the math right! The bill should be $400.00

How I did it, was I did 175+5x45.

seeing, it is $5 per mile! And the total miles you got was 45.

If I missed something, please let me know

Energy and MatterDescribe the energy transformations that occur during photosynthesis and cellular respirationDescribe how energy is used in the body
Which of the following is the correct order of these structures from largest to smallest? auniverse, solar system, galaxy, planet buniverse, galaxy, solar system, planet csolar system, universe, planet, galaxy dplanet, galaxy, solar system, universe
Explanation and answer for both Part A and B please
Wilbur landed his plane.The plane's elevation relative to the ground(in meters) as a function of time (in seconds)is graphed. How high was the plane after 1000 seconds?
janellworked as a manager for 30 years in a leading corporation and now works with the small business administration to help small businesses.janell provides free consultation and assistance to new entrepreneursand most likely belongs to .
find the area under the standard normal distribution curve to the right of . use a ti-83 plus/ti-84 plus calculator and round the answer to at least four decimal places.
copper, x-rays of frequency 2.74 10^19 Hzare emitted. What is the wavelength of thesex-rays?Answer in units of pm.
At 7 a.m., the science classroom had a temperature of 68 F. By 3 p.m.,the temperature had increased to 75 F. Calculate the rate of temperaturechange from 7 a.m. to 3 p.m
people in the preparation stage of the transtheoretical model, are actively changing their behavior and preparing ways to sustain it once the change is complete.
Translate to a system of equations and solve:Priam has a collection of nickels and quarters, with a total value of $9.30. The number of nickels is six less than three times the number of quarters. How many nickels and how many quarters does he have?
The slope of a line which passes through the vertex and the y-y intercept of the quadratic equation x^2 + 10x - 5x 2 +10x5 is
What is the group of Neon, and the family of it too?
Resources Dictionary InstructionsWriting InstructionsTARGET WRITING LEVEL: AdvancedThe three main characters inFrank Stockton's "The Lady,or the Tiger?"-- the King, thePrincess, and the Lover --each face a conflict when thePrincess and her Lover decideto marry. Identify anddescribe the conflict for eachcharacter and explain howyou believe they each resolvethe conflict.Write at least 250 words.Tip:
Identify the statements that describe mary wollstonecrafts opinions on the rights of women.
Not really an assignment question, but for class : What chinese desserts do amerians eat also?
The product of -2 and a number is at most 10.Find the possible numbers.On-5
Which country did japan fight and defeat during the sino-japanese war of 1894-1895?.
Measure and record your height in feet and inches and then convert your height to meters and then to centimeters. Feet-inches: ________________ Meters: _________________ Centimeters: ________________
The enzyme amylase will affect the breakdown of carbohydrates, but it will not affect the breakdown of proteins. The ability of an enzyme molecule to interact with specific molecules is most directly determined byA) shapes of the molecules involvedB) number of molecules involvedC) sequence of bases present in ATPD) amount of glucose present in the cell
question is in the picture