You want to rent a car for the day.Prestige car rentals charges $47 plus $0.07 per mile to rent a midsize vehicle . Gateway Auto changes a $35 fee plus $0.12 per mile for the same car. For what number of miles will both companies charge the same price?

Answers

Answer 1

Answer:

240 miles

Step-by-step explanation:

Given that:

Charges offered by Prestige car rentals for renting a midsize vehicle:

Fixed charges = $47

Per mile charges for renting a midsize vehicle = $0.07

Charges offered by Gateway Auto for renting a midsize vehicle:

Fixed charges = $35

Per mile charges for renting a midsize vehicle = $0.12

To find:

Number of miles for which both the companies charge the same price?

Solution:

Let the number of miles for which both the companies will charge the same price = [tex]x[/tex] miles

Charges for one mile by Prestige car rentals = $0.07

Charges for [tex]x[/tex] miles by Prestige car rentals = $0.07[tex]x[/tex]

Total charges by Prestige Car rentals = $47 + $0.07[tex]x[/tex]

Charges for one mile by Gateway Auto = $0.12

Charges for [tex]x[/tex] miles by Gateway Auto = $0.12[tex]x[/tex]

Total charges by Gateway Auto = $35 + $0.12[tex]x[/tex]

As per question statement, the charges are same:

[tex]\$47 + \$0.07x = \$35 + \$0.12x\\\Rightarrow 12=0.05x\\\Rightarrow x=\dfrac{1200}{5}\\\Rightarrow \bold{x=240\ miles}[/tex]


Related Questions

Chuck needs to drive 400 miles on the highway.
Gas costs $1.50 per gallon. How much will it cost for
gas to drive his truck 400 miles?

Answers

Answer:

$600

Step-by-step explanation:

400*1.5=600

he heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x – 72.5| = 4. What are the minimum and maximum temperatures in the house? 72.5°F and 76.5°F 68.5°F and 76.5°F 70.5°F and 74.5°F 72.5°F and 74.5°F

Answers

Answer:

B. 68.5 & 76.5

Step-by-step explanation:

In order to solve this equation you first need to change your equasion to fit 2 scenarios. So, your 2 equations are x-72.5=4 and x-72.5=-4. From there, you need to solve by adding 72.5 to each equation giving you x=76.5 and x=68.5. 68.5 degrees F is your minimum temperature and 76.5 degrees F is your maximum temperature. I have included a screenshot of my handwritten work included below for those who are visual learners.

For any rectangle ABCD, determine whether each statement is always, sometimes, or never true. ∠a≅∠b

Answers

Answer:

always

Step-by-step explanation:

no matter what the angles of a rectangle will be 90 degrees so the answer is always

Answer:

Step-by-step explanation:

Consecutive angles are equal only when dealing with a square or a rectangle. All other 4 sided figures do not have this property.

So the answer is sometimes.

A student raises her grade from a 75 to a 90 what is the percent of increas in the students grade average

a)20%
b)16.7%
c)8.3%
d)15%

Answers

Answer:

b

Step-by-step explanation:

I got a 100 on this test so try and do well

15 POINTS PLEASE HELP!

Answers

Answer:

buddy...u weren't able to attach it properly...

Step-by-step explanation:

u may type it out in the comments...

calculate the value of the expression (-8)·(-1/3)​

Answers

Answer:

8/3

Step-by-step explanation:

If we multiply it the subtraction will cut off and 8 will mulitply to 8/3.

Solve for x. Each figure is a trapezoid​

Answers

The answer is 6x+2 hope it helps

1) Solve the equation 7x+5 = 7x-3

Answers

Answer: no solutions

7x + 5 = 7x - 3

5 = -3                  [ subtract 7x from both sides ]

Since we end up with 5 = -3, a clearly false equation, we conclude that the original equation has no solutions.

i hope this helps! :D

Answer:

empty set

Step-by-step explanation:

Let's solve your equation step-by-step:

7x+5=7x−3

Step 1: Subtract 7x from both sides.

7x+5−7x=7x−3−7x

5=−3

Step 2: Subtract 5 from both sides.

5−5=−3−5

0=−8

So that There is no solution.( empty set .∅)

please make as brilliant.

Patrice and Arnold went to the bank together and checked their account balances Patrice's balance was - 55 and Arnold's was - 56 . Who has a greater debt? Explain using the concept of absolute value.

Answers

Answer:

Arnold has greater debt because he owes an extra dollar to the bank

Step-by-step explanation:

For which value of a are the graphs of 4 = 3x + 6y and ax – 8y = 12 parallel?
a = -4
O a =
= - 1 / 1
a = 1/2
O
a = 2

Answers

Answer: a=-4

Step-by-step explanation:

can anyone help me ?

Answers

Answer: m∠T = 48°

ΔMAT has MA = MT

=> ΔMAT is a isosceles triangle at M

=> ∠A = ∠T = (180° - ∠M)/2

=> x + 20  = (180 - 3x)/2

⇔ 2x + 40 = 180 - 3x

⇔ 5x = 140

⇔ x = 140/5

⇔ x = 28

=> ∠A = ∠T = 28 + 20 = 48°

Step-by-step explanation:

(3a-2) (3a-2) kindly explain me the steps plus give me solution

Answers

Answer:

9a to the power 2 +4 is the answer

Step-by-step explanation:

multiple 3a x 3a u wud get 9a to the power 2

-2 x -2 u wud get = 4

then combine the two and write the answer

Answer:

9a² - 12a + 4

Step-by-step explanation:

Given

(3a - 2)(3a - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

3a(3a - 2) - 2(3a - 2) ← distribute both parenthesis

= 9a² - 6a - 6a + 4 ← collect like terms

= 9a² - 12a + 4

solve for all the values of the interior angles​

Answers

Answer:

x = 6

Step-by-step explanation:

measure of angle E: 5(6) + 8 = 38

measure of angle D: 6(6) + 8 = 44

measure of angle C:  180 - 82 = 98

check answers by adding all 3 angle measures to make sure they equal 180 degrees  

anyone please help!!!​

Answers

Answer:

11

Step-by-step explanation:

Answer:22(a)

Step-by-step explanation:22 is a factor of 66

How many solutions does 7x -10 = 7(x+3)

Answers

Answer: The answer to this question is that there is no solution to that problem

Step-by-step explanation:

16(x+3)=4(x+9)
solve for x​

Answers

Respuesta :

Ecuación : 16 (x + 3) = 4 (x + 9)

Resolvemos :

  [tex]16(x+3)=4(x+9)\\16x+48=4x+36\\16x-4x=36-48\\12x=-12\\x=-12/12\\\\\boxed{x=-1}[/tex]

Explicación paso a paso :

        16 (x + 3) = 4 (x + 9)

Multiplicamos los paréntesis "16(x+3)" y "4(x+9)"

        16x + 48 = 4x + 36

Términos semejantes ...

        16x - 4x = 36 - 48

Restamos respectivamente ...

        12x = -12

El número 12 multiplicando a "x" pasa a dividir...

        x = -12 ÷ 12

Dividimos y ya tenemos el resultado!! ^-^      x = -1

Ver mas ejemplos : brainly.lat/tarea/29507142

ILL MARK U BRAINLIEST HELP

Answers

Answer:

6x-y

Step-by-step explanation:

Add the two expressions

Answer:

6x + -y

Lets simplify this step by step:

2x + 7y + 4x −8y

2x + 7y + 4x + −8y

Then we combine like terms

=2x + 7y + 4x + −8y

=(2x + 4x) + (7y + −8y)

= 6x + −y

there are 40 boys and 20 girls at the party 35% from boys wearing glasses and 60% girls wearing how many people wearing glasses glasses

Answers

Answer:

12 g 14 b

Step-by-step explanation:

.

Can Someone plz help me i will mark brainliest

Answers

Answer:

a

Step-by-step explanation:

if u multiply by -5 the 5s will cancel out

Answer:

c

Step-by-step explanation:

sorry if it wrong

The cost of two books is ₹126.If the cost of one book is twice the other, the find the cost of books.​

Answers

$84 is the doubled price and $42

Y+4=2(x+3) In slope-intercept form

Answers

Y=2x+2 this is the answer hope this helps
Answer: y =  m x  +  b . Y  =  2 x  +  2______________________________________Hope this helps!

Also can I please have Brainliest?

Only if I'm correct of course.

Your welcome, Loves!

The graph shows the parent function f(x)=0.75x.

Answers

answer:

it should be the graph on the top right!

The graph of the parent function f(x) = 0.75ˣ + 1 is shown in figure.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The parent function is,

⇒ f(x) = 0.75ˣ + 1

Now,

Since, The parent function is,

⇒ f(x) = 0.75ˣ + 1

Hence, The points on the function are (0, 2) and (1, 1.75).

Thus, The graph of the parent function is given in option 2.

Learn more about the function visit:

https://brainly.com/question/13804741

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lus
If f(x) = 3x + 7, find:
f(3) = [?]

Answers

Answer:

The answer is 16

Step-by-step explanation:

You substitute 3 in for x.

2 Hiroaki says that a constant of proportionality must be a whole number and

cannot be a fraction or a decimal. Explain why Hiroaki is incorrect.

Answers

Given:

Hiroaki says that a constant of proportionality must be a whole number and  cannot be a fraction or a decimal.

To find:

The explanation, why Hiroaki is incorrect.

Solution:

If y is directly proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

[tex]\dfrac{y}{x}=k[/tex]

where, k is the constant of proportionality.

It means, the constant of proportionality is the ratio of two directly proportional variables.

So, constant of proportionality can be any real.

Thus, the statement that a constant of proportionality must be a whole number and  cannot be a fraction or a decimal is incorrect.

Hence, Hiroaki is incorrect because constant of proportionality can be any real.

2. Write an equation in slope intercept form with the given Information Goes through points (1, 8) and (5, 0)

Answers

Answer:

[tex]y = -2x + 10[/tex]

Step-by-step explanation:

Slope: [tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Slope-Intercept Form: [tex]y=mx+b[/tex]

[tex]m=\frac{8-0}{1-5}[/tex]

[tex]m = -2[/tex]

[tex]y = -2x + b[/tex]

[tex]0 = -2 (5)+b[/tex]

[tex]0=(-10)+b[/tex]

[tex]b = 10[/tex]

[tex]y = -2x + 10[/tex]

What is the point-slope form of an equation passing through (0, -5) with a 5 points
slope of 2? *

Answers

Answer:

y=2x-5

Step-by-step explanation:

[tex]y-y_{1}=m(x-x_{1})[/tex]

[tex]x_{1}=0, y_{1}=-5\\[/tex], and m=2

[tex]y-(-5)=2(x-0)[/tex], -(-5)-Two negatives make it positive, and you distribute the 2

[tex]y+5=2x[/tex], you now subtract 5 to get y by itself to get your answer of

[tex]y=2x-5[/tex]

*NOTE* (0,-5) is the y-intercept, so you could have used the linear equation of y=mx+b, m=2, and b(y-intercept)=-5

giving you y=2x-5

The graph shows a line and two similar triangles. On a coordinate plane, a line goes through (0, 3) and (6, 11). A small triangle has a rise of 4 and run of 3. What is the equation of the line? y = 3 x + 3 y = three-fourths x + 3 y = four-thirds x + 3 y = 4 x + 3

Answers

Answer:

i think that the answer is the first equation

Step-by-step explanation:

The equation of the line passing through the points (0, 3) and (6, 11) is:

y = (4/3)x + 3.

Option C is the correct answer.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

To find the equation of the line passing through the points (0, 3) and (6, 11).

We can use the slope-intercept form of a linear equation,

which is y = mx + b, where m is the slope of the line and b is the y-intercept.

First, we can find the slope of the line by using the formula:

[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]

where

[tex](x_1, y_1) = (0, 3)\\(x_2, y_2) = (6, 11).[/tex]

So,

m = (11 - 3) / (6 - 0) = 8/6 = 4/3

The slope of the line is 4/3.

Next,

We can use the point-slope form of a linear equation to write the equation of the line in terms of one of the points and the slope:

[tex]y - y_1 = m(x - x_1)[/tex]

Choosing the point (0, 3), we get:

y - 3 = (4/3)(x - 0)

Simplifying and solving for y, we get:

y = (4/3)x + 3

Therefore,

The equation of the line passing through the points (0, 3) and (6, 11) is:

y = (4/3)x + 3.

Learn more about equation of a line here:

https://brainly.com/question/23087740

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Alaina surveyed students on her bus about their homework.The results are shown in this two-way table. Student Homework Last Night Responses Had Homework 8 Did Not Have Homework 4 Alaina used this data to design a spinner with 6 congruent sections that predicts whether a randomly selected student had homework last night. How many sections of Alaina’s spinner represent students who did not have homework? 2 4 6 8

Answers

Answer:

2

Step-by-step explanation:

Answer: 2

I got it right on ed

Kareem has a collect of dimes and quarters. He can tell that he has more quarters than dimes, and he knows that he has at most $2.

Write the system of inequalities to represent this.

Answers

Answer:

D<Q≤2 Or D<Q Q+D≤2

Step-by-step explanation:

I'm pretty sure this is the answer but it's been a while since I've done system of inequalities. Essentially the value and number of dimes is less than the value and number of quarters. And the value of both is less than or equal to 2 dollars

will give brainiest pls help

Answers

Answer: b

Step-by-step explanation:

B

Answer:

The American Revolutionary War (1775–1783), also known as the American War of ... Britain remained under siege in Gibraltar but scored a major victory over the French navy. ... in America, and the colonial legislatures argued that they had exclusive right .... Howe then seized control of New York City on September 15

Step-by-step explanation:

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