Joseph is going on a trip and he needs to rent a car. He looks online and finds two companies that offer different pricing options for car rentals. Company A charges $0.25 per mile plus a $50 rental fee. Company B charges $0.45 per mile plus a $20 rental fee.

What is the maximum number of miles that Joseph can drive in order for Company B to be a better buy? The company charges only for whole number mileage (not fractional increments of miles driven).

A) 125 miles
B) 149 miles
C) 150 miles
D) 151 miles

Answers

Answer 1

Answer:

E.The price for travelling 150 miles is same for both company.

Step-by-step explanation:

We are given that Joseph is going on a trip and he needs to rent a car.

Company A

Charge $0.25  per mile plus  $50 rental fee.

Company B  charges 40.45 per mile plus $20 rental fee.

A.Total distance=150 miles

Company A

Charges for 150 miles=$37.5

Total charges=37.5+50=$87.5

Company B

Charges for 150 miles==$67.5

Total charge=20+67.5=$87.5

The price for travelling 150 miles is same for both company.

But if distance greater than 150 miles such 155  miles

Company A

Total charge=$88.75

Company B

Total charges=$89.75

Company A is better deal if Joseph more than 150 miles.

If distance 145 miles

Price form company A=$86.25

Price form company B=$85.25

Company B is better deal if Joseph travel less than 150 miles.

Hence, option E is true.

I hope this helps you <3333


Related Questions

Elizabeth has a loyalty card good for a 20% discount at her local hardware store.
What would her total In dollars and cents be, after the discount and before tax, if the
total cost of all the items she wants to buy is $19.20? Round to the nearest cent.

Answers

Answer:15.36

Step-by-step explanation:

Took the test

sora
-
[tex](secx - 1 \secx + 1) [/tex]

Answers

Answer:

[tex] \frac{ \frac{1}{ \cos(x) } - 1 }{1 + \frac{1}{ \cos(x) } } = \frac{ \frac{1 - \cos(x) }{ \cos(x) } }{ \frac{1 + \cos(x) }{ \cos(x) }} = (1 - \cos(x)) \times (1 + \cos(x)) = 1 - { \cos(x) }^{2} = { \sin(x) }^{2} [/tex]

HELP ME PLEASEEEEEEEEEEE

Answers

Answer:

The correct answer is 6

Step-by-step explanation:

42 = 7r

R = 42/7 = 6

Answer:

r=6

Step-by-step explanation:

Divide both sides of the equation by the same term

simplify

Suppose that a committee is studying whether or not there is a waste of time in our judicial system. It is interested o the mean amount of time individuals waste at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was 8 hours with a sample standard deviation of 4 hours.
i. ¯x=
ii. sx=
iii. n=
iv. n−1=

Answers

Answer:

i. ¯x= 8

ii. sx= 4

iii. n= 81

iv. n−1= 80

Step-by-step explanation:

i. ¯x=

This is the sample mean, which is 8 hours.

ii. sx=

Standard deviation of the sample, which is of 4 hours.

iii. n=

Size of the sample, which is 81.

iv. n−1=

Degrees of freedom(sample size subtracted by 1), which is 81 - 1 = 80


It takes Gloria 3 hours to rake the leaves in her yard. If Gloria rakes the leaves 4 times each
fall for 5 years, how many hours will she rake leaves over the five year period?
A 60 hours
CB 75 hours
C 120 hours
D 160 hours

Answers

The answer is A. 3x4=12 12x5= 60

Consider the two rules for numerical patterns given below.
Pattern A: Start at 0, add 4
Pattern B: Start with O, add 12
Which statement describes the relationship between the corresponding terms of
the two patterns?
A Each term of Pattern B is three times the corresponding term of Pattern A.
B Each term of Pattern A is three times the corresponding term of Pattern B.
с Each term of Pattern A is 12 more than the corresponding term of Pattern B.
D Each term of Pattern B is 8 more than the corresponding term of Pattern A.

Answers

Ok no problem EZZZ

Answer:

The answer is  A there you go the other person tricked you he just said easy so he can have enough words to get the points next time do not be fooled :)

Use the diagram to name the following

Answers

1. Circle P
2. PB
3. DE
4. AB

Answer:

1. P

2. BP

3. DE

4. AB

Step-by-step explanation:

Determine the independent and dependent variable from the following equations:
1. y = 3x - 5

2. 9 = -16s + 6

3. p= 7+39

4. m = 2 - 4n

Answers

Answer:123 because 1 is before 2

Answer:

I don't know what I have already asked for record

Just wanted to make sure I got the right answer

Answers

Answer:

D

Step-by-step explanation:

Find the midrange for the group of data items.
2, 2, 5, 5, 8, 8, 10

Answers

Answer:

5

Step-by-step explanation:

Answer:5

Start striking off the numbers one from the left and then from the right continuously until you're left with a number in the middle

There are 750 people at a football game Out of this number 320 are students what percent of people at the football game are not students? Round to the nearest hundredth,if needed.

Answers

750-320= 430
(430 are not students)
430/750= 0.5733333
To make it a percentage you move the decimal point 2 places to the left so it would be 57.3%
(I hope you understand I’m very bad at explaining)

The percent of people at the football game are not students will be 57.33%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

The number of peoples in football game = 750

The number of students = 320

Now.

Find the percent of people at the football game are not students as;

Number of people are not students = 750 - 320

                                                       = 430

Thus, The percent of people at the football game are not students is;

Percent = 430 / 750 x 100

            = 0.5733 x 100

            = 57.33%

Hence, The percent of people at the football game are not students will be 57.33%.

Learn more about the percent visit:

https://brainly.com/question/843074

#SPJ2

9(6k + 3r)=

A) 15k+12r

B) 54k+27r

C) 6(3k+0r

D) 3(18k+9r​

Answers

Answer:

B

Step-by-step explanation:

9*6k+9*3r

54k+27r so the answer is B

Hopes this helps:

Answer: B 54k + 27r

Please mark as brainlist

Identify the functions that exhibit a removable discontinuity.

Answers

Answer:

h(x) and k(x)

Step-by-step explanation:

The functions that exhibit a removable discontinuity are function i(x) and function k(x)

What is a quadratic equation?

"An equation of the form ax² + bx + c = 0 is a quadratic equation."

What is a function?

"It defines a relation between input and output values."

What is discontinuous function?

"This function has a discontinuity at one or more values mainly because of the denominator of a function is being zero at that."

What is removable discontinuity?

"If adjusting the function's value at the point of discontinuity will render the function continuous, then such discontinuity is called removable discontinuity."

What is non-removable discontinuity?

"If adjusting the function's value at the point of discontinuity will not render the function continuous, then such discontinuity is called non-removable discontinuity."

For given question,

1) Consider a function [tex]f(x)=\frac{x^{2} +4x-21}{x^{2} -13x+42}[/tex]

If we factorize the quadratic equation at numerator and denominator then the given function would be,

[tex]f(x)=\frac{(x-3)(x+7)}{(x-7)(x-6)}[/tex]

We can observe that the function f(x) is discontinuous at x = 7 and x= 6.

So, the function f(x) has non-removable discontinuity.

2) Consider a function [tex]g(x)=\frac{2x^{2} -5x+12}{2x+3}[/tex]

We can observe that the function g(x) is discontinuous at x -3/2.

We cannot factorize the quadratic equation at numerator.

So, the function g(x) has non-removable discontinuity.

3) Consider a function [tex]h(x)=\frac{x-3}{x^{2} -9}[/tex]

If we factorize the quadratic equation at denominator then the given function h(x) would be,

[tex]\Rightarrow h(x)=\frac{(x-3)}{(x-3)(x+3)}\\\\\Rightarrow h(x)=\frac{1}{x+3}[/tex]

We can observe that the function h(x) is discontinuous at x = -3

So, the function h(x) has non-removable discontinuity.

4) Consider a function [tex]i(x)=\frac{x^{2} -8x+15}{x-5}[/tex]

If we factorize the quadratic equation at numerator then the given function would be,

[tex]\Rightarrow i(x)=\frac{(x-5)(x-3)}{x-5}\\\\ \Rightarrow i(x)=x-3[/tex]

We can observe that the function i(x) is a continuous function.

So, the function i(x) has removable discontinuity.

5) Consider a function [tex]j(x)=\frac{x+4}{-2x+8}[/tex]

We can observe that the function j(x) is discontinuous at x = 4

And the function j(x) has non-removable discontinuity.

6) Consider a function [tex]k(x)=\frac{2x^{2} +x-15}{2x-5}[/tex]

If we factorize the quadratic equation at numerator then the given function would be,

[tex]\Rightarrow k(x)=\frac{(x+3)(2x-5)}{(2x-5)}\\\\ \Rightarrow k(x)=x+3x^{2}[/tex]

We can observe that the function k(x) is a continuous function.

So, the function k(x) has removable discontinuity.

Therefore, the functions that exhibit a removable discontinuity are function i(x) and function k(x)

Learn more about the removable discontinuity here:

https://brainly.com/question/9648611

#SPJ2

Nancy rides her horse with a constant speed of 12 miles per hour. How long will she take to travel a distance of 6 miles?

Answers

Answer:

it will take her 30 minutes long

Answer

30 minutes

Step-by-step explanation:

6 is half of 12 and Nancy is moving 12 mph. half of an hour is 30 minutes so the answer would be 30 minutes.

help me find the answer
100 point if u help

Answers

Answer:

maybe it is 3600 m not sure though

If a 5-foot tall man casts a shadow of 12 feet when standing on level ground, then the distance from the top of his head to the tip of his shadow is​

Answers

Answer:

13 feet

Step-by-step explanation:

you can use the Pythagorean Theorem to solve this problem because the man standing on the ground forms a 90 degree angle

5² + 12² = c²

25 + 144 = c²

169 = c²

c = √169 which is 13

Convert:
2 tons 15,000 ounces =
ounces

Answers

answer 79,000
explanation 1 ton is 32,000 ounces and you have 2 so you would have 64,000 and you add the extra 15,000 to get 79,000

What is the perimeter of this shape? Use numbers only.

Answers

Answer:

30 m

Step-by-step explanation:

You simply add the lengths of all the sides. 3 m is not needed for this.

Answer:

10+5+4+6+5 = 30m

Step-by-step explanation:

Theo wants to use a cookie recipe
that makes 36 cookies, but he wants
to increase the number of cookies to
54. If the recipe calls for 2 cups
of sugar, how much sugar should
he use?

Answers

Answer:

3 cups of sugar

Step-by-step explanation:

you increase it as per ratio,in this case ratio is 1.5

Help it’s important!!

Answers

Answer:

The answer is going to be letter B.

A model of a house is created by putting a square pyramid on a cube. The resulting figure has a surface area of 165 square inches 5 in. What is the height of one of the triangular faces? O 2 inches O 4 inches O 5 inches O 6 inches​

Answers

Answer:

Is 4 inches or B

Step-by-step explanation:

I can't really break it down but I did get it right on Edge 2021.

I need the coordinates like ASAP

Answers

(3,8) is the correct answer!

a car travels 156 miles in 3 hours and 15 minutes. how many miles does it travel per hour

Answers

Answer:

48 mph

Step-by-step explanation:

Convert 3 hours 15 minutes to hours.

15 minutes = 15/60 hour = 1/4

So 3 hours 15 mins = 3 1/4 hours = 13/4 hours

156 miles in 13/4 hours ==> speed = 156 ÷ 13/4 = 156 x 4/13 = 48


find the number of terms in the series for the series given below.

Answers

C . bc its the right answer :)

Divide. Write your answer in the following form:
F(x)= Q + R/D



PLEASE HELP!!!!!!!

Answers

Answer:

are those synthetic division?

Mika is a local farmer who is interested in how often residents in her town go to a farmer's market each month. She surveys 124 families and finds that, on average, those families visit a farmers' market 4.2 times per month with a sample standard deviation of 1.3. If Mika wants to be 99% confident (z=2.58) using this sample, what should her margin of error be and what does it mean?

Answers

Answer:

The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.

Step-by-step explanation:

Margin of error

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Standard deviation of 1.3

This means that [tex]\sigma = 1.3[/tex]

She surveys 124 families

This means that [tex]n = 124[/tex]

Margin of error and meaning:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 2.58\frac{1.3}{\sqrt{124}}[/tex]

[tex]M = 0.3012[/tex]

The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.

to spend to much traveling and country the day she arrived the exchange rate was 1.4 country a dollars Per country B dollars if she exchange 500 country B dollars when she arrived how many country eight dollars she receive

Answers

Answer:

She receives 700 country A dollars.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

1.4 country a dollars Per country B dollar

She exchanges 500 country B dollars, so:

1.4 country A dollars - 1 country B dollar

x country A dollars - 500 country B dollars

Applying cross multiplication:

[tex]x = 1.4*500 = 700[/tex]

She receives 700 country A dollars.

What steps would I take to solve this question?

Answers

9514 1404 393

Answer:

  arc FG = 115°

  arc EG = 165°

Step-by-step explanation:

The first step is to understand how these arcs are arranged on a circle. The next step is to realize the whole is the sum of the parts. Arcs have the same measure as their central angle. A circle totals 360°.

  arc EF + arc FG = arc EFG . . . . parts of an arc add to give the whole arc

  80° + arc FG = 195°

  arc FG = 115° . . . . . . . . . subtract 80°

__

Similarly, parts of a circle add to give the whole circle.

  arc EFG + arc EG = 360°

  195° + arc EG = 360°

  arc EG = 165° . . . . . . . . . subtract 195°

HELP ASAP BOX AND WHISKEE PLOTS! WILL MARK BRAINLIEST!

Answers

Answer:

True

Step-by-step explanation:

James used 30% of his savings to buy video games. If he had $60 dollars saved. How much does he have left

Answers

Answer: $42 left

Step-by-step explanation:

30% of 60 = 18 60-18 leaves $42

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