11B. Long Beach Towing Company charges $40 plus $5 per mile to
tow a car. The Five-Star Towing Company charges $70 plus $2 per
mile. After how many miles the charges for the two companied will
be the same?

Answers

Answer 1

Answer:

The charges will be the same after 10 miles.

Step-by-step explanation:

Long Beach Towing Company:

Charges $40 plus $5 per mile. So after x miles, the charge will be of:

[tex]L(x) = 40 + 5x[/tex]

Five-Star Towing Company:

Chargers of $70 plus $2 per mile. So after x miles, the charge will be of:

[tex]F(x) = 70 + 2x[/tex]

After how many miles the charges for the two companied will be the same?

This is x for which:

[tex]L(x) = F(x)[/tex]

So

[tex]40 + 5x = 70 + 2x[/tex]

[tex]5x - 2x = 70 - 40[/tex]

[tex]3x = 30[/tex]

[tex]x = \frac{30}{3}[/tex]

[tex]x = 10[/tex]

The charges will be the same after 10 miles.


Related Questions

Sergi says that 10% of a number will always be less than 20% of any other number. Complete one inequality to support Sergi’s claim and one to show that he is incorrect

Answers

Answer:

x × 0.1 < y × 0.2

x = 100, y = 10

Step-by-step explanation:

10% of a really large number can be bigger than 20% of a small number. 10% of 100 is 10. 20% of 10 is 2. 10 is bigger than 2 so Sergi's claim is false.

The table represents the height of a ball thrown up from the roof of a building, h(t), in meters, t seconds after it is thrown upward.

A 2-column table with 7 rows. The first column is labeled t with entries 0, 2, 4, 6, 8, 10, 12. The second column is labeled h(t) with entries 0, 60.4, 81.6, 63.6, 6.4, negative 90, negative 225.6.

Which statements are true? Check all that apply.

The ball is at the same height as the building between 8 and 10 seconds after it is thrown.
The height of the ball decreases and then increases.
The ball reaches its maximum height about 4 seconds after it is thrown
The ball hits the ground between 8 and 10 seconds after it is thrown.
The height of the building is 81.6 meters.

Answers

Answer:

A and C

Step-by-step explanation:

on Edge

Please help I’m begging you!!! No false answer if you have a question don’t put as an answer please

Answers

Answer:

Step-by-step explanation:

11. 7 × 8 = 8 × 7 [commutative property]

12. 5 × 0 = 0 × 5 [commutative property]

13. 5 × (0 + 8) = (5 × 0) + (5 × 8) [[distributive property]

14. (7 × 1) + (7 × 9) = 7(1 + 9) [distributive property]

15. 6 × 1 = 6 [Identity property of multiplication]

16. 9 × (10 × 1) = (9 × 10) × 1 [[commutative property]

17. 1 × 10 = 10 [Identity property]

18. 7 × 1 = 7 [Identity property]      

19. 4 × 8 = 8 × 4 [commutative property]

20. 4 × (1 × 2) = (4 × 1) × 2 [commutative property]

Round your answer to the nearest hundredth if needed.
The diameter of a circle is 15 inches long. What is the circumference of the circle
4.71 inches
47 inches
47.10 inches
.471

Answers

Answer:

47.12 so 47.10

Step-by-step explanation:

Mr. Johnson buys 50 pencils and gives 30 of them to his students.
Which percent of the pencils did he give to his students?

Answers

Answer:

3/5

Step-by-step explanation:

Mental math:)))))))

answer:

whole: 50

part: 30

30/50 = 0.6 --> 60%

final answer: 60%

-- request: please mark brainiest, and click the thanks button if correct <3

Identify them as complementary supplementary vertical or adjacent

Answers

1. vertical
2. supp
3.adjacent
4. vertical
5.supp
6.comp

2. There are 18 girls and 21 boys in a classroom. Write the ratio of girls to boys


help​

Answers

Answer:

6:7

Step-by-step explanation:

both values can be divided by 3

18/39 i think bc i think you have to add the boys and girls together at the end :)

The pollen scale has four levels of severity: low, moderate, high, and extremely high. Atlanta, GA had 0 low days, 4 moderate days, 12 high days, and 6 extremely high days. What was the median pollen
severity in Atlanta? What was the mode? What was the range?

Answers

Answer:

12 is the mode and the range is 4  the median pollen 6

PLZZZZ HELP What specific measure of a geometric figure is shown in the image?

Answers

The answer is D hope this helps!

Answer:

130⁰ angle???

Step-by-step explanation:

im so sorry if it's wrong

What is the number that is divisible by 7?

13, 17, 91, or 771

Answers

The correct answer is 771

Step-by-step explanation:

13÷7=1.85717÷7=2.42891÷7=13771÷7=110.142

Hence,

91 is divisible by 7.

HELPPPPPPPPPPPPP
A total of 18 guests attended a birthday party. Seven friends stayed after the party to help
dean up. How many left when the party ended?
Part 1 out of 3
To solve this problem, let x represent the
A. total number of guests plus the number who stayed to help clean up.
B. number of guests who left when the party ended.
C. total number of guests
D. number of friends who stayed to help clean up.

Answers

Answer:

Step-by-step explanation:

B

MATH
please help me with this question? i don’t understand it

Answers

The answer is 1.2

You just look at the graph at x = 6.
The point is marked as (-6, 1.2).

Goal is to make $100. What % of the goal was met if raised $350?

Answers

______________________________

A = m ÷ t × 100= $100 ÷ $350 × 100= 28.6%THE GOAL WAS SURPASSED BY 28.6%

______________________________

A car was driving for 4 hours and covered 224 miles. A high-speed train is ten times as fast as this car. Find the train's speed.

Answers

Answer:

The speed of the train is 560 MPH.

Step-by-step explanation:

The car's speed can be detemined  by Distance / Time. This would mean we would have to do 224 / 4, which would equal 56.

Now, all we have to do is mulitply 56 by 10. This would equal 560.

What is the difference When the product of 1/3 and 2/3 is subtracted from the sum of 1/3 and 2/3​

Answers

the difference is 1/3

Which of the following speeds will produce lowest miles per gallon?
A. 35 mph
B. 105 mph
c. 45 mph
D. 55 mph
SUBMIT

Answers

Answer: B. 105 mph

Step-by-step explanation:

Answer:

trust me (D) is the correct answer can you mark b please thank you

Step-by-step explanation:

I hope it help you lot see you around

PLZZ I NEED HELP if ur good at math help meeee. I NEED HELP

Answers

It looks like it’s already answered I’m confused about that

What created the Vancouver Island?
O earthquake
O volcanoes
O fault
O ocean

Answers

Answer:

Volcano

Step-by-step explanation:

Answer:

volcanoes

Step-by-step explanation:

Vancouver island was formed around 150 million years ago when   volcanic activity pushed sedimentary rock upwards from the sea floor to from the island landscape.   /hope this helps/

845,333,129 expanded​

Answers

800000000+40000000+5000000+300000+30000+3000+100+20+9

7z + 2 = 26
In this equation, what is the variable?

Answers

Answer:

Z is the variable

Step-by-step explanation:

Z is the variable i hope this helps you

X^3-6x^2-7x+60=0 i need help

Answers

Answer:

x= -3, 4 or 5

Step-by-step explanation:

if you factor out the expressions, they look like this:

(x+3)(x-4)(x-5) = 0

A truck like the one shown delivers a load of gasoline to a gas station 3 times a week. The storage tank at the gas station holds 9 loads of fuel. How much more gas does the storage tank hold than the truck.


The truck hauls 2,700 gallons.

Answers

Answer:

21,600 gallons

Step-by-step explanation:

The truck hauls 2,700 gallons.

Given :

A truck load of gasoline = 2700 gallons

Capacity of storage tank = 9 loads

Gallons of fuel which storage tank can take :

9 loads

1 load = 2700 gallons

9 * 2700 gallons

= 24300 gallons

Hence, the storage tank holds (9 - 1) = 8 more loads of gasoline than the truck :

24300 gallons - 2700 gallons = 21600 gallons

whats(the difference of 2 times d minus 3)?

Answers

Answer:

[tex]2d - 3 \: [/tex]

hope it helps⁽⁽ଘ( ˊᵕˋ )ଓ⁾⁾

Answer:

the answer is -2d -3

Step-by-step explanation:

I hope my answer is correct

find the number of words with or without meaning that can be formed with the letters of the word 'NIGERIA'​

Answers

Near, Are, In, Air, Rine, Gin, Grain, Rain, Gain, Rag, Nag, Age, Rage, Ear, and Earn

If f(x) = 2^x + 4 and g(x) = x^2 – 4 what is the value of f(5) +g(-3)

Answers

f(5)=2^5+4

f(5)=32+4=36

g(-3)=(-3)^2-4

=9-4

=5

f(5)+g(-3)=36+5

=41

The perimeter of rectangular garden is 94 m. The length is 13 m more than the width. Find the length and the width.

Answers

Answer:

length: 60 width: 34

Step-by-step explanation:

helppppp The average monthly high temperatures for Boise, Idaho, are shown in the chart. Find the first quartile of the data.

Answers

80 I think I don’t exactly get what you’re asking tho

Solve the inequality. -3.5 3.5 ≤ 7x

Answers

Answer:Hopefully this can help

Step-by-step explanation:

A customer opens a savings account

that applies 4% compound interest

annually. If the initial investment is

$200.00, how much money will be in

the account at the end of two years?

Please explain

Answers

Answer:

$216.32

Step-by-step explanation:

The formula for compound interest is given as:

A = P(1 + r/n)^nt

Where:

A = Amount after t years= ??

P = Principal = Initial amount invested $200

r = Interest rate = 4%

t = time in years = 2

n = Compounding frequency = Annually = 1

First, convert R percent to r a decimal

r = R/100

r = 4%/100

r = 0.04 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 200.00(1 + 0.04/1)^(1 × 2)

A = $ 216.32

The amount of money that will be in the account at the end of two years is $216.32

A patient has an illness that typically lasts about 24 hours. The temperature, T, in degrees Fahrenheit, of the patient t hours after the illness begins is given by:T(t) = -0.02t^2 +0.4968 +98.
a. When does the patient's temperature reach its maximum value
b. What is the patient's maximum temperature during illness

Answers

Step-by-step explanation:

Given that,

The temperature, T, in degrees Fahrenheit, of the patient t hours after the illness begins is given by:

[tex]T(t)=-0.02t^2 +0.4968 t+98[/tex] ...(1)

(a) We need to find when does the patient's temperature reach its maximum value.

For maximum value.

Put dT(t)/dt = 0

[tex]\dfrac{d(T(t)}{dt}=\dfrac{d}{dt}(-0.02t^2 +0.4968t +98)\\\\=-0.04t+0.4968\\\\-0.04t+0.4968=0\\\\t=12.42\ h[/tex]

(b) Put t = 12.42 in equation (1) :

[tex]T(12.42)=-0.02(12.42)^2 +0.4968 (12.42)+98\\\\=101.08^{\circ} F[/tex]

Hence, this is the required solution.

Other Questions
The area of a right triangle is 270 square meters. The height of the right triangle is 15 meters. What is the length of the hypotenuse of the right triangle? what does 10+q equal? While deciding whether to get a job or to continue your education, you consider two small, local companies that are hiring: KwikFix and MongoRama. You learn that both employers consider you to be on par with their average worker. You do some research on the hourly wage each company pays. You find that MongoRama pays nine employees $9.00 per hour each, while one employee makes $30.00 per hour. KwikFix pays two employees $9.00 per hour, five employees $10.50 per hour, two employees $12.00 per hour, and one employee $16.50 per hour.1) Calculate the mean and the median for the salaries of the two companies, each of which has 10 What is the y-intercept? The findings from a study of training and skill development among employees of a company can be generalized to the population of:a.All employees of that companyb.All employees in the countryc.All graduate level employeesd.All citizens of the country Who was at the top of Zhou society? Sprinkler heads come in all different sizes depending on the angle of rotation desired. If a sprinkler head rotates 90 and has enough pressure to keep a constant 25-foot spray, what is the area of the sector of the lawn that gets watered? Round to the nearest square foot. helpp me hw is so stressing Explain how information is stored in nucleic acids How can being near a large body of water affect the climate of a region? PLZ help me!!! Based on their name you can guess thatthe Aplacophora havea many part (greater than 2) shella two part shellNO shella one part shell Who good with political cartoon? And know how to answer #6-7 please help (United state history) free Brainliest and point !! ................................................................................................................................................................... Find three consecutive integers such that the sum of the first and twice the second is 68 minus three times the third. What does innovation means A. An artifact with historical importance B. A government budget C. A development or creation of something new Solve 5+h>7. Graph the solution. Can anyone please help me ? Its due today :( 4 1/2 pt equals how many c Some organelles, such as the endoplasmic reticulum and Golgi bodies, have a large and folded structure. What is an advantage of these organelles having a folded structure? Solve the system by substitution6 + 2y = -26x 6 = 21