Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven. For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile. Write an equation and find the number of miles for which the companies’ charges will be the same.

Answers

Answer 1

Answer:

100 miles

Step-by-step explanation:

Let the number of miles driven = x

Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven.

$55 + $0.25x

55 + 0.25x

For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile.

$45 + $0.35x

45 + 0.35x

Equation :

55 + 0.25x = 45 + 0.35x

The number of miles for which the companies’ charges will be the same is calculated as:

55 + 0.25x = 45 + 0.35x

Collect like terms

55 - 45 = 0.35x - 0.25x

10 = 0.10x

x = 10/0.10

x = 100 miles

The number of miles for which the companies’ charges will be the same is

100 miles.


Related Questions

What is the equation of this line in slope intercept form? A.y=3x+1 B.y= -1/3x -1 C.y= -3x - 1 D.y= 3x - 1

Answers

Answer:

C

Step-by-step explanation:

Chapter 4, Final Chapter! - What is the Slope?

Answers

Answer:

The Slope is -1/3

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest

PLEASE HELP
-1 2/3 + (-2 1/6) A. Use the real number properties to write an equivalent expression for this sum.
B. Find the sum. Express your answer as a mixed number in lowest terms. ​

Answers

Answer:

-3 5/6

Here is what i did to solve it.:

-1 2/3 = -5/3, and -2 1/6 = -13/6.  The LCD is 6.

We convert -5/3 to -10/6 and combine this result with -13/6:

-10/6 - 13/6 = -23/6

This last result can be rewritten as -3 5/6.

Hope this help, stay safe and have a nice day! :))))))

Answer:

-3 5/6

Here is what i did to solve it.:

-1 2/3 = -5/3, and -2 1/6 = -13/6.  The LCD is 6.

We convert -5/3 to -10/6 and combine this result with -13/6:

-10/6 - 13/6 = -23

Use the picture below to answer Problems 1 and 2.

1. Describe a sequence of translations that would map Figure H onto Figure K.
2. Describe a sequence of translations that would map Figure ) onto itself.

Answers

Answer: 1. Describe a sequence of translations that would map Figure H onto Figure K.

⃗⃗⃗⃗⃗⃗

Translate Figure H along vector , and then

⃗⃗⃗⃗⃗⃗ translate the image along vector .

⃗⃗⃗⃗⃗⃗

Translate Figure H along vector , and then

⃗⃗⃗⃗⃗⃗ translate the image along vector .

2. Describe a sequence of translations that would map Figure J onto itself.

⃗⃗⃗⃗⃗⃗

Translate Figure J along vector , and then

⃗⃗⃗⃗⃗⃗ translate the image along vector .

⃗⃗⃗⃗⃗⃗

Translate Figure J along vector , and then

⃗⃗⃗⃗⃗⃗ translate the image along vector .

Step-by-step explanation:

The graph shows the printing rate of printer a printer b can print a rate of 25 pagws per minute how does the rate for printer b compare

Answers

Answer:greater,greater,15

The printing rate for Printer B is

greater

than the rate for Printer A because the rate of 25 pages per minute is

greater

than the rate of

15

pages per minute for Printer A.

The answers to the fill ups are:

(a) greater than

(b) greater than

(c) 15

What is Graph?

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Usually, data that varies over time is represented with a line graph.

Given:

As, slope for printer A= 30-2/2-0

                                    = 30/2 = 15 pages per minute.

So, the rate of Printer A is 15 pages per minute.

Thus,

The rate for Printer B is greater than the rate for Printer A because the rate of 25 pages per minute is greater than the rate of 15 pages per minute for Printer A.

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What are the solutions to the quadratic equation 3(x − 4)2 = 75?

x = −9 and x = 1
x = −5 and x = 5
x = −4 and x = 4
x = −1 and x = 9

Answers

Answer:

x=-1 and x=9

Step-by-step explanation:

[tex]3(x-4)^{2} =75[/tex]

[tex](x-4)^{2} =\frac{75}{3}[/tex]

[tex](x-4)^{2}[/tex]=[tex]25[/tex]

[tex](x-4)(x-4)[/tex]=[tex]25[/tex]

[tex]x^{2} -4x-4x+16[/tex]=[tex]25[/tex]

[tex]x^{2} -8x+16[/tex]=[tex]25[/tex]

[tex]x^{2} -8x+16-25=0[/tex]

[tex]x^{2} -8x-9=0[/tex]

[tex](x-9)(x+1)=0[/tex]

[tex]x-9=0\\x=0+9\\x=9[/tex]        [tex]x+1=0\\x=0-1\\x=-1[/tex]

therefore x=9 and x=-1

Answer:

the answer is d x = −1 and x = 9

Step-by-step explanation:

A calculator screen shows a number in scientific notation as 4.67e-8 write this number in standard form

Answers

Answer:

467 000 000

Step-by-step explanation:

4.67e-8 is rewritten as 4.67 x 10^-8.

Negative -> decimal with lots of places, Positive -> big, big number

Move the decimal place right 8 times so you end up with a small decimal.

4.67 -> 467000000

I Need A Expert To Answer This! Find The Measure Of The indicated Angle In The Diagram.

Answers

Answer:

So,you're answer will be 21°{degree}..

Answer:

  m∠YPQ = 159°

Step-by-step explanation:

m∠QRP = 107

m∠RQP = 52

m∠RPQ = x

m∠QRP + m∠RQP + m∠RPQ = 180°

107 + 52 + x = 180

159 + x = 180

x = 21°

m∠RPQ = x = 21°

m∠RPQ + m∠YPQ = 180°

21° + m∠YPQ = 180°

m∠YPQ = 159°

Round 463,751 to the nearest hundred.

Answers

Answer : 463, 800


Explanation:

Answer:

463,800

Step-by-step explanation:

:) watch this be wrong lol

John ran for president of the chess club. Of the 325 members in the chess club, 195 members voted for John. What percent of students voted for John?

can someone help me out.

Answers

Answer:

65%

Step-by-step explanation:

325-195=130

130/200= 65

Help!!!!!!!!!!!!!!!!
Find the values of the letters​

Answers

Answer:

A = -3

B = 5

Proof:

A ⇒ -3+5 = 2

B ⇒ 3+2 = 5

Answer:

7=A 6=B

Step-by-step explanation: 37+25=62

An employee earns a 12% commission rate on the cameras he sells. If he earns $384 in commission, what were his total sales?

Answers

Answer:

$3,200

Step-by-step explanation:

384/12= 32

32*100= 3200

Answer:

He earns $46.08 because that would be 12% of $384:)

What is the sign of the product if you multiplied three negative integers?

Answers

Answer:

negative

Step-by-step explanation:

Answer:

negative

Step-by-step explanation:

negative times negative is positive

then, the positive times negative is negative

do i use mean and standard deviation or median and interquartile range?

Answers

Answer: median and interquartile range

Step-by-step explanation:

Please Help Me!!!! ;)

Answers

Answer:

Value of x: 110

Step-by-step explanation:

5+5=10

120-10=110

2. Tina uSUally brings her children every Sunday afternoon at the children's park in their barangay. The park is 350m Iong and 200m wide complete with slides and
swings for children to play. If is surounded by a pathway of unifom width for children who loves biking and jogging. Suppose the total area of the park and the pathway is 74,464 m2.


a. How wide is the pathway of the park?
b. If you were Tina, woulad you like your children fo go biking and jogging in that park?​

Answers

Answer: kindly check explanation

Step-by-step explanation:

Given the following :

Total area of parknand path way = 74,464 m2.

Dimension of park = 350m by 200m

Using the area of rectangle formula:

Area = Length * width

Area of park = 350m * 200m

Area of park = 70,000

Area of path = (74,464 - 70,000) = 4,464m2

Since path has uniform width, then width of the the path is sqrt(4464) = 66.8m

2.) the path of the park seems a bit narrow, hence, I wouldn't love children to bike and jog in such a narrow path

A seamstress was hired to make band uniforms for Hinsdale High school. The seamstress bought 148 yards of material. There were 16 students in the concert band and 20 students in the symphonic band. How much material did she have for each uniform?
A. 36/9 yards
B. 37/9 yards
C. 35/9 yards
D. 38/9 yards

Answers

Answer:

No estoy seguro, intenta preguntarle a tu profesor

Step-by-step explanation:

The seamstress had 37/9 yards of material for each uniform.

What is division?

In mathematics, division is a process of dividing a number into equal parts and calculating the maximum number of equal parts that can be made.

How to solve it?

Given that total amount of material = 148 yards

number of students in the concert band = 16

number of students in the symphonic band = 20

Total number of students = number of students in the concert band + number of students in the symphonic band

= 16 + 20 = 36

For 36 students, there are 148 yards of material.

Then for 1 student, there are 148/36 = 37/9 yards of material.

Therefore the seamstress had 37/9 yards of material for each uniform. So, option B is correct.

Learn more about division here -

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Use the zero product property to find the solutions to the equation 2x2 + x – 1 = 2.

Answers

[tex]2 {x}^{2} + x - 1 = 2 [/tex]

Subtract sides -2

[tex]2 {x}^{2} + x - 1 - 2 = 2 - 2 [/tex]

[tex]2 {x}^{2} + x - 3 = 0 [/tex]

[tex](x - 1)(2x + 3) = 0[/tex]

_________________________________

[tex]x - 1 = 0[/tex]

[tex]x = 1[/tex]

##############################

[tex]2x + 3 = 0[/tex]

[tex]x = - \frac{3}{2} \\ [/tex]

_________________________________

Done♥️♥️♥️♥️♥️

Answer: I think its C on edge

help help HELP!!! PLEASE

Answers

Grapth the line using the slope and y intercept or two points
Slope 1/2
y intercept (0,1)
x y
-2 0
0. 1

The speed of the particles________when a substance is heated
A. increases
B. decrease
C. stays the same

Answers

Answer:

increases It increases piggy piggy

Answer:

increases due to the presence of kinetic energy

What are the slope and the y-intercept of the line shown in the graph?

A. y-intercept = 2 and slope = -3
B. y-intercept = 2 and slope = 3
C. y-intercept = 3 and slope = 2
D. y-intercept = -3 and slope = 2

Answers

Answer:

A

Step-by-step explanation:

The y intercept is where the line crosses the Y (vertical) axis. In this case, it happens at y=2

The slope is the rate of change. For every 1 space it moves on the horizontal axis, it moves 3 vertical spaces. It is going down, so it is -3

What is the equation of the line?

Answers

Answer:

y = 2/3x + 4

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

State the minimum monthly income and hourly wage per worker needed to cover monthly expenses for the family you used in part a. Then, explain how to calculate the hourly wage based on the monthly income and state the hourly wage. Assume that each full-time worker works four 40-hour work weeks per month, and each part-time worker works two 40-hour weeks per month.
HOUSING $1,386

FOOD $804

CHILD CARE $1,709

Transportation $1,235

HEALTH CARE $908

OTHER NECESSITIES $884

TAXES $1,483

Monthly Total $8,409

Annual Total $100,909

Answers

Answer:

these teachers b expectin u to do this bs

Step-by-step explanation:

f(x)= -3/4x+6

Find the inverse I need help pretty bad please help!!

Answers

Answer:

f⁻¹(x)= - 4x/3 +8

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

Complete the factorization of 3x2 – 10x + 8.

3x^2 – 10x + 8 = (x – _ )( _ x – 4)

Answers

(3x-4)(x-2) is the answer

Answer:

picture of answer on edge 2023.

Step-by-step explanation:

I need help on this answer please​

Answers

Answer:

i cant see it

Step-by-step explanation:

Answer:

Just solve the equation in the question get the total and solve all the other equations they give you and see which one has the same total as the equation in the question.

Step-by-step explanation:

Sorry for not giving you a solid answer but I don't know what the other equations are to give you the answer. :)

Hope this helps tho! owo

larry gets a 5% wage rise. his new wage is £252 per week. what was larrys wage before his wage rise

Answers

The raise was 5% which is 0.05 as a decimal.

For his new rate his original rate was multiplied by 1.05 ( original + 5%)

To find original amount, divide new amount by 1.05:

252 / 1.05 = 240

His original pay was £240

You can check by multiplying the original pay by 5% and adding:

240 x 0.05 = 12

240 + 12 = 252

On average, Johanna drinks 2/3 of a 12 ounce can of soda in one hour.

How much does she drink in one and a half hours?

Answers

Answer:

12oz or a whole can of soda in 1 hour 30 minutes.

Step-by-step explanation:

[tex]\frac {2} {3}[/tex] of 12 is 8, so that means the Johanna drinks 8oz of soda in 1 hour, this means that Johanna also drinks 12oz of soda in 1 hour 30 minutes.

are irrational numbers intergers

Answers

Answer:

No they are not intergers

Step-by-step explanation:

Hope this helps

write four integers between -10 and 3​

Answers

Answer:

-4, -3, -2, -1

Step-by-step explanation:

all the integers between -10 and 3

-9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2

Answer:

-9, -8, 2, 1

Step-by-step explanation:

Integers are whole number that can either be positive or negative.

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