A Hertz Rent-a Car is a car agency charges $40 for one day plus $0.10 per mile to rent a full size car. Enterprise Rent-A-Car charges $18 for one day plus $0.20 cents per mile to rent the same car. How many miles could you drive in one day that would result in the final bill to be the same from both companies?

Answers

Answer 1

Answer: 220 miles

Step-by-step explanation:

Let's write the equations for each case:

A Hertz Rent-a Car:

Charges a fixed amount of $40, plus a $0.10 per mile.

Then if you drive x miles, we get a total cost of:

C(x) = $40 + $0.10*x

Enterprise Rent-A-Car:

Chares a fixed amount of $18 plus $0.20 per mile, so if you drive x miles, the cost is:

K(x) = $18 + $0.20*x

Now, we want to find how many miles you can drive such that you would pay the same in both companies.

Then we need to find x such that:

C(x) = K(x)

$40 + $0.10*x = $18 + $0.20*x

Let's solve this for x.

$40 - $18 = $0.20*x - $0.10*x

$22 = ($0.20 - $0.10)*x

$22 = $0.10*x

$22/$0.10 = x

220 = x

So if you drive exactly 220 miles, you would pay the same in both companies.


Related Questions

Assume that when adults with smartphones are randomly selected, 64% use them in meetings or classes. If 5 adult smartphone users are randomly selected, find the probability that exactly 3 of them use their smartphones in meetings or classes. The probability is (Round to four decimal places as needed.)​

Answers

Answer:

[tex]P(3) = 0.3397[/tex]

Step-by-step explanation:

The given details represent binomial distribution. So, we have:

[tex]n = 5[/tex]

[tex]p = 64\% = 0.64[/tex]

Required

Calculate P(3)

This is calculated using:

[tex]P(x) = ^nC_x * p^x * (1- p)^{n-x}[/tex]

This gives:

[tex]P(3) = ^5C_3 * 0.64^3 * (1- 0.64)^{5-3}[/tex]

[tex]P(3) = 10 * 0.64^3 * 0.36^2[/tex]

[tex]P(3) = 0.3397[/tex]

1.
Calculate the following:
(4 + 2) + ( x 1
2. Simplify the following
a. 37423-4
b. 9-2​

Answers

First answer is 6+x

2. A.37419

  B. 7

a group of preschoolers has 31 boys and 37 girls. What is the ratio of girls to boys

Answers

Answer:

37:31 or any other way of writing 37 to 31

Step-by-step explanation:

Write the ratio the same way the question asks, there are 37 girls and 31 boys. This cannot be simplified.

Which expression is equivalent to tan(x – pi)?

Answers

Answer:

it's b

Step-by-step explanation:

correct on edge!

The equivalent expression is tanx.

We have given that,

tan(x – pi)

We have to determine the expression equivalent to the given expression

What is the tan ratio?

tan(x)=sinx/cosx

[tex]=\frac{\sin \left(x\right)}{\cos \left(x\right)}[/tex]

[tex]=\tan \left(x\right)[/tex]

Therefore the equivalent expression is tanx.

To learn more about the equivalent expression visit:

https://brainly.com/question/24734894

#SPJ2

3. If a week is 7 days, what fraction of a week is 2 days?

Answers

A fraction of a week in 2 days is: 2/7

Isaiah decided to build a fence around his property. He lives on a rectangular lot 70 feet long and 50 feet wide. How many feet of fence does he need to buy?​

Answers

Answer:250 feet

Step-by-step explanation: a rectangle has four sides, now you have two numbers, 70 and 50. so you do  4÷2 = 2 now take 2 a multiply it 70(140) now do it with 50(100) now add em (250) it is how i do it

5/8 plus 1/16 simplified

Answers

we want to make their denominators the same to add them, their common denominator is 16
So 5/8 will become 10/16
now we can add both fractions easily
10/16 + 1/16 = 11/16

the net of a retangular prism is shown below. The surface area of each face is labeled. 12 square centimeters, 12 square centimeters, 18 square centimeters, 18 square centimeters, 24 square centimeters, and 24 square centimeters. which values represent the dimentions, in centimeters, of the retangular prism?



HELP QUICKLY PLEASE

Answers

Answer:

76

Step-by-step explanation:

i need help right now!!!!

Answers

Answer:

look at the picture i sent...........

PLEASE HELP!!!! The problem is in the photo below

Answers

Answer:

105m by 105m

Step-by-step explanation:

multiply 7 x 15 to get 105.

Hope it helps!!! :)))

Fine the slope of the line through (20, -8), (9, -8)

Answers

Answer: The slope is 0

What is the area of the triangle?

Answers

60 I think, because it’s base times height divided by two

How many moles are in 9.03 x 1023 Li atoms?
please help me

Answers

Answer:

1.5 moles

Step-by-step explanation:

number of moles = no. of particles / Avagadro number

therefore, number of moles. = 9.033 * 10^23 / 6.022 * 10^23

therefore, no. of moles = 1.5

There are 1.5 moles in 9.033 * 10^23 Lithium atoms.

find tan C will mark branylis​

Answers

Answer:

i think26 and 10

Step-by-step explanation:

Answer:

c.  12/5

Step-by-step explanation:

With reference angle C

perpendicular (P)= 24

base(b) = 10

Then

Tan < C = p / b

Tan < C = 24/ 10

Tan < C = 12/5

Hope it helps :)

I have $8$ pieces of strawberry candy (all identical) and $7$ pieces of rhubarb candy (all identical). Find the number of ways I can distribute this candy to $5$ children.

This is a math question,
Please Solve Correctly.

Answers

Given:

Number of strawberry candy = [tex]\bold{8\ pieces}[/tex]

Number of rhubarb candy = [tex]\bold{7 \ pieces}[/tex]

Find the number of ways for equally distributing candy to all 5 children

Using formula:

[tex]\to \bold{_{n} C_{r}=\frac{n !}{r!(n-r) !}}[/tex]

Calculating the distributing way for strawberry candy:

[tex]\to \bold{_{8} C_{5}=\frac{8 !}{5!(8-5) !}}[/tex]

           [tex]\bold{=\frac{8 !}{5! \ 3 !}}\\\\\bold{=\frac{8 \times 7 \times 6 \times 5!}{5! \ 3 \times 2\times 1}}\\\\\bold{=\frac{8 \times 7 \times 6 }{ 6}}\\\\\bold{=8 \times 7}\\\\\bold{=56}[/tex]

Calculating the distributing way for rhubarb candy:

[tex]\to \bold{_{7} C_{5}=\frac{7 !}{5!(7-5) !}}[/tex]

           [tex]\bold{=\frac{7 !}{5! \ 2 !}}\\\\\bold{=\frac{7 \times 6 \times 5!}{5! \ 2\times 1}}\\\\\bold{=\frac{ 7 \times 6 }{ 2}}\\\\\bold{=7 \times 3}\\\\\bold{=21}[/tex]

Adding both distributing ways:

[tex]\to \bold{56+21=77}[/tex] ways

Learn more:

probability: brainly.com/question/23044118

Factor 10x2 – 42x – 108.
Question 20 options:

A)

(5x + 9)(x + 6)

B)

2(5x + 9)(x – 6)

C)

(x + 9)(5x – 6)

D)

2(10x – 9)(x + 6)

Answers

Answer:

B

Step-by-step explanation:

You have to know how to factor polynomials.

2(5x^2-21x-54)

2(5x^2-30x+9x-54)

2(5x(x-6)+9(x-6))

2(5x+9)(x-6)

It’s gone be B.(5x +9

If a=.3 and b=.5, what is the value of a=b ?

Answers

Answer:

5.0/5.

Step-by-step explanation:

Answer:

3A = 5B A/B=5/3 (A + B) / B=(5+3) / 3 (A + B) / B=8/3 इसलिए सही उत्तर विकल्प B है।

Hope this helps

Step-by-step explanation:

Please answer ASAP this is due tomorrow

Answers

I found this answer online for the same question so i suppose this is it

Help me answer this for brainliest ​

Answers

Answer:

question 1(2)

answer 4

question 2(3)

answer 1

question 3(4)

(a)6; factored

(b)7; factored

c(8); factored

LAST ONE PLEASE :) thank you thank you

Answers

Answer:

163 I would think

Step-by-step explanation:

please help me i really need help please

Answers

Answer:

d

Step-by-step explanation:

10 points || answer ASAP if you can

Answers

Answer:

It would affect the mean, range, and standard deviation

Step-by-step explanation:

I got this right on the test :)

what is meaning of pictogram​

Answers

here u go

i hope u got it

4 and b = 5.
Evaluate the given expression when a
2a + 6b
HELP

Answers

The answer is 40
2a=2x5 and 6b=6x5
(2x5)+(6x5)
2x5=10
6x5=30
10+30=40

Dr. Toliver has 6 fossils.

Dr. Cook has 5 times as many fossils as Dr. Maranan.

They have 90 fossils altogether. How many fossils does Dr. Maranan have?

Copyright 2020 Edmentum, Inc. All Rights Reserved

(hp

Answers

Answer:

dude 30 fossils are left

Step-by-step explanation:

Darren had 20 minutes to do a three-problem quiz. He spent 11
7
10
minutes on question A and 4
2
5
minutes on question B. How much time did he have left for question C?

Answers

Answer:

He had 5 minutes left for question C.

Step-by-step explanation:

20 minutes to do the quiz.

He spent:

11 minutes on question A

4 minutes of question B.

So, for the first 2 questions, he used 15 minutes.

How much time did he have left for question C?

Total of 20 minutes, in the first two questions he used 15. So

20 - 15 = 5

He had 5 minutes left for question C.

7) Find 18th term of the arithmetic sequence:
{13, 8, 3, -2, -7, ...}

Tysm

Answers

13-8=5

8-5=3

3-5=-2

-2-5=-7

etc.

Just keep subtracting 5 until you have the 18th term

---

hope it helps

Answer:

-77

Step-by-step explanation:

Reasoning:

Every step is decreasing by 5, therefor you will do 13-5 18 times. this will get you -77

Tapiwa raked 5% more leaves than Adam raked. Tapiwa raked 357 liters of leaves.
How many liters of leaves did Adam rake?

Answers

Answer:

340 liters

Step-by-step explanation:

This means that Tapiwah raked x plus 5% of x leaves. Knowing that Tapiwah actually raked 357 liters, we can find the value of x as follows. So, Adam raked 340 liters of leaves.

FOR 100 POINTS
Match each equation to a step that will help solve the equation for x.

Answers

Answer: a: divide by 3 on both sides

B: add 3 to both sides

C: multiply by -3 on both sides

D: divide by -3 on both sides

E: add 1/3 to both sides

F: subtract 3 from both sides

G: multiply by 3 on both sides

H: subtract 1/3 from both sides.

Step-by-step explanation:

pls someone anwser quick

Answers

The total surface area is 716.28 squared units
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