One car rental agency charges $0.29 per mile plus a $10 weekly fee. Another rental agency charges $.0.35 per mile with no fee. You need to rent the car for 3 weeks. Write and solve an equation to find the number of miles for which both agencies will charge the same.

Answers

Answer 1

Answer:

166.67 miles.

Step-by-step explanation:

let the number of mile for which the cost for both car rental be same is x mile

For first car rental

weekly fees charged = $10

cost of 1 mile = $0.29

cost of x miles = x*cost of 1 mile = $0.29x

total money charged by first car rental = $10 + $0.29x

For other car rental

weekly fees charged = 0

cost of 1 mile = $0.35

cost of x miles = x*cost of 1 mile = $0.35x

total money charged by other car rental = $0.29x

_______________________________________

since we have to find miles for which charges are same

thus

total money charged by first car rental  = total money charged by other car rental

10 + 0.29x = 0.35x --------------------equation required

=> 10 = 0.35x - 0.29x

=> 10 = 0.06x

=> x = 10/0.06 = 166.67

Thus, the number of miles for which both agencies will charge the same is 166.67 miles.


Related Questions

Is (2, 2) a solution to this system of equations? 3x + 7y = 20 7x + y = 16

Answers

Answer: Yes they both pass through the point

29747 ÷ 5828 × 492 equals what?​

Answers

The answer is 2511.242965

Answer:

2511.2429

Step-by-step explanation:

You should know this this like yr 7 stuff

29747÷ 5828=5.1041523

5.1041523 × 492= 2511.2429

Hummingbirds beat their wings very fast. The smaller the
hummingbird is, the faster its wings beat. The average hummingbird beats its
wings about 3 x 10 3 times a minute. How many times a minute is that, written as
a whole number?

Pls help me! I will give brainliest

Answers

Answer:

A hummingbird's heart beats from 225 times per minute when it's at rest and more than 1,200 times per minute when it is flying. Its wings beat about 70 times per second in regular flight and more than 200 times per second while diving.

Answer: A hummingbird's heart beats from 225 times per minute when it's at rest and more than 1,200 times per minute when it is flying. Its wings beat about 70 times per second in regular flight and more than 200 times per second while diving.

Step-by-step explanation:

hey please help this is really important (first to answer i will give brainlyiest) after some else answers

Answers

Answer:

can u type out the question i cant see the photo i will help thou

Step-by-step explanation:

Answer:

29

-26

Step-by-step explanation:

the equation of f(x) is given. to find f(8) just apply 8 in the place of x in the equation

same method for f(-3) just apply -3 in place of x

find the value of each power 1. 3 to the power of negative 3 2. 4 to the power of 4

Answers

Answer:

1. 1/3

2. 256

Step-by-step explanation:

3/3/3 is .133333 (3's are repeated)

4*4*4*4 is 256

20 pounds of pet food for
$14.99
Find the unit rate?




Answers

Answer:

$0.75 per pound

Step-by-step explanation:

To find the unit rate, divide the price by the amount you have.

14.99/20 = 0.7495


Calvin starts a business and has to
take out a loan of $500. He makes
a profit of $200 during the first
month and then for the next two
months records a profit of $-20
and the fourth month made a
profit of $300. What is the total
profit for the first four months of
Calvin's business?

Answers

Answer:

-40

Step-by-step explanation:

Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. Utilize the information provided to determine your answer. A correct numerical answer with no work shown will receive only 1 point.

Micah vacationed on a Caribbean island in the summer at a luxury hotel. He spent an entire day on a sightseeing excursion that explored the beautiful scenery of the city. Those who went on the trip boarded a bus which went 15mph through a 30 mile section of the city's countryside. There was a lunch stop at a local eatery before the group continued on a 3 hour tour of the city’s sights at a speed of 10mph. Lastly, the bus left the city and travelled 40 miles back to the hotel. Micah arrived back at the hotel exactly 2 hours after leaving the local eatery. What was the bus’s average rate for the entire trip?

Answers

Answer:

The bus's average rate for the entire trip is approximately 14.29 mph

Step-by-step explanation:

The given information are;

The speed of the bus through the 30 mile section = 15 mph

The time the bus moved at 10 mph = 3 hours

The distance the bus travelled back from the city = 40 miles

The time Micah arrived back at the hotel after leaving the local eatery = 2 hours

Assuming Micah correctly arrived back at the hotel after leaving the city = 2 hours  

We have;

Total distance = 30 miles + 3 hour ×  10 mph + 40 miles = 100 miles

Total time = 30 miles/(15 mph) + 3 hours + 2 hours = 7 hours

The average velocity = Total distance/(Total time) = 100 miles/(7 hours) ≈ 14.29 mph.

The bus's average rate for the entire trip ≈ 14.29 mph.

what is the value of y

Answers

Answer:

100°

Step-by-step explanation:

180 - 80 = 100

The line is 180 so you take away what you already know (80) and then you have 100.

Answer:

180 degree (exterior angle ) please follow and like me

Please help me I got a bad grade and I need to redo them
Find the slope

Answers

Answer:

The first one has a slope of 4

The second one has a slope of 0.3 repeating

Step-by-step explanation:

You pick two points on the graph.

You find the x and y coordinates of each point.

You find the difference between the two x coordinates.

You find the difference between the two y coordinates.

Divide the difference in the y coordinates by the x coordinates.

If im wrong sorry owo im only in elementary school... <3

Answer:

4/6

Step-by-step explanation:

Will Give Brainliest if Correct

Answers

Answer:

(a) 0

(b) -3/26

Step-by-step explanation:

(a)

We essentially plug 1 in for x and 2 in for y.

Our expression is [tex]\frac{2x-y}{y^2+1}[/tex], so making the correct substitutions yields:

[tex]\frac{2x-y}{y^2+1}=\frac{2*1-2}{2^2+1}=\frac{2-2}{4+1} =\frac{0}{5} =0[/tex]

So, the answer for part (a) is 0.

(b)

Again, we're now plugging in 1 for x and 5 for y:

[tex]\frac{2x-y}{y^2+1}=\frac{2*1-5}{5^2+1}=\frac{2-5}{25+1} =\frac{-3}{26} =-\frac{3}{26}[/tex]

So, the answer for part (b) is -3/26.

Evaluating Rational Expressions

Step-by-step explanation:

So we have the rational expression [tex]\frac{2x -y}{y^{2} +1}\\[/tex]. All we have to do is to just plug the given values for what x and y are.

Solution of a:

[tex]\frac{2x -y}{y^{2} +1}\\ \frac{2(1) -(2)}{(2)^{2} +1} \\ \frac{2 -(2)}{4+1} \\ \frac{0}{5} \\ 0[/tex]

Answer of a:

[tex]0[/tex]

Solution of b:

[tex]\frac{2x -y}{y^{2} +1}\\ \frac{2(1) -(5)}{(5)^{2} +1} \\ \frac{2 -(5)}{25+1} \\ \frac{-3}{26} \\ -\frac{3}{26}[/tex]

Answer of b:

[tex]-\frac{3}{26}\\[/tex]

A baker used 8 bags of flour every 9 days. He used
of a bag cach day
L20 nens in 5 seconds What is the rate

Answers

Answer:

0.8 repeating or 8/9 bags a day

Step-by-step explanation:

The point slope form of the equation of the line that passes through (-9,-2) and (1,3 ) is y- 3= 1/2(x-1). What is the slope intercept form of the equation for this line? (Plz help!! It’s 15 points!! )

Answers

Answer:

y=.5x+2.5 OR [tex]y=\frac{1}{2}x +\frac{5}{2}[/tex] (both are right)

Step-by-step explanation:

Distribute the 1/2

y-3=.5x-.5

add 3

y=.5x+2.5 OR [tex]y=\frac{1}{2}x +\frac{5}{2}[/tex] if you're into fractions

2. Tamara has to go on a business trip. Including taxes, her round trip airfare is $400 and her room costs $150 per night. The cab fare from the airport to the hotel is $40. If Tamara stays for two nights, how much does the trip cost, not including the cost of food?

Answers

Answer:1180,740

Step-by-step explanation:

2 night, so (400x2)+(150x2)+(40x2)=800+300+80=1180 this is cost to go and come back.

400+300+40=740 this is the cost for only going there and not coming back.

When you add my age to my son's age, you get 52. When you subtract my son's age
from my age, you get 28. How old am I and how old is my son?

Answers

your son is 24 and you are 28

Step-by-step explanation:

you have to do 52-28

Answer: You are 28. Your son is 24.
Explanation: 52-28=24

1+2x6+7= -13
where do i have to put the parenthesis so its correct

Answers

Answer:

you have to but it back 2 times

Step-by-step explanation:

ir is because it should be back 2 rimes

Help me please
Find the slope

Answers

Answer:

this is a negative slope.

Step-by-step explanation:

Hopefully you can read it this time

The mass of a freight train is 9.98 ⋅ 10^6 kilograms. The mass of an aircraft carrier is 7.3 ⋅ 10^7 kilograms. Approximately how many more kilograms is the mass of an aircraft carrier than the mass of a freight train? Show your work and write your answer in scientific notation. (10 points)

Answers

9514 1404 393

Answer:

  6.302×10^7 kg

Step-by-step explanation:

Since we want to find the difference in mass, we need to have the same exponent on both numbers. For that purpose, it is convenient to change the representation of the train's mass to 0.998×10^7 kg.

The carrier has more mass by the amount of ...

  7.3×10^7 -0.998×10^7 = (7.300 -0.998)×10^7 = 6.302×10^7 . . . kg

_____

Your (scientific or graphing) calculator or a spreadsheet can figure this for you and give you the scientific notation display.

Helpppppp I don’t understand

Answers

Supplementary: Angles that add up to 180 degrees.
This means that angle 1 and angle 2 add up to 180 degrees. You can put them into an algebraic problem like I have in this (the image I have added), and solve for what x is. That is the key to finding out what angle 1 equals!
Once you have found x you can plug it into the equation you have for angles 1 and 2 to find if they equal 180.
Hope this helps!

An ice cream shop sells five sundaes for every six cones. Yesterday the shop sold 60 sundaes. How many cones were sold?

Answers

Answer:

50

Step-by-step explanation:

To get each sundae come from sold, you divide sold by for every x cones, then multiply by how many sundaes

Answer:

72

Step-by-step explanation:

60÷5=12

6×12=72 cones

I need help please it’s a test and I don’t understand

Answers

Answer:

to get x look at that triangle that it is in I know the angles in a triangle add up to 180° so it will be 180 - 63 degrees plus 36 degrees then to get z it will be 36 + 63 because interior angles add up to one exterior angle then to get y addz + 13 degrees then subtract it from 180°

30 students in a class took a math test 24 students pass the test what percent past

Answers

Answer:

80% passed

Step-by-step explanation:

1. 24 out of 30 passed

2. In order to make it a % you have to multiply

3. 100 * 24/30

4. = 2400/30

5. Therefore the answer is 80

Problem
Justin's rice ball recipe uses 100100100 grams of rice to make 111 rice ball. Justin has 700700700 grams of rice.
How many rice balls can Justin make with 700700700 grams of rice?
rice balls

Answers

Answer:

777

join my zoom meeting no audio no camera just chat

Step-by-step explanation:

Pass code: G0qkw3

ID: 448251

Numeric Passcode: 756933

Answer:

777 rice balls

Step-by-step explanation:

17. A team won 16 and lost 4 of its.games. What percent of all of its games did
the team win?
(a) 40%
(b) 80%
(c) 75%
(d) 40%
(e) none of these
Please show the work

Answers

Answer: 80%

Step-by-step explanation

4 out of 20 equals 20%

16 out of 20 equals 80%

Select the correct answer.
Jenny is tracking the monthly sales totals for her boutique. The given piecewise function represents the boutique's monthly sales, in dollars,
where x represents the number of months since Jenny began tracking the data.
(4,000(1.1)
0 < I<3
f(0) = 1001 + 5,024 , 3 - 2 + 5x + 5,630, 6 3
What were the boutique's monthly sales when Jenny first began tracking the data?
A.
$4,000
B.
$5,324
C.
$5,616
D.
$4,400
MacBOOK

Answers

Answer:

what is your question here can you be more specific?

Step-by-step explanation:

Answer:

Please mark me as Brainliest :)

Step-by-step explanation:

helppp pleaseee
Consider the functions below.

f(x) = x
g(x) = 3x

Which of the following statements describes the graph of function g?

The graph of g is 3 times steeper than the graph of f.
The graph of g is 3 units to right of the graph of f.
The graph of g is 3 units to left of the graph of f.
The graph of g is times as steep as the graph of f.

Answers

Answer:

The graph of g is 3 times steeper than the graph of f.

Step-by-step explanation:

I just did it and got it right

Answer:

The graph of g is 3 times steeper than the graph of f.

Step-by-step explanation:

30 - 19r + 15 - 9r =
25 points!

Answers

Answer:

45-28r

Step-by-step explanation:

30+15-19r-9r

45-19r-9r

45-28r

I hope this is right! Hope this helps!

Answer:

[tex]45-28r[/tex]

Step-by-step explanation:

Combine like terms

[tex]30-19r+15-9r = 30+15-19r-9r=45-28r[/tex]

Jill jumped 6 1 3feet in the long-jump event. Jill’s best friend jumped 6 5 7feet. How much farther did Jill’s best friend jump? Describe in words the process you used to solve the problem

Answers

Answer:

Subtract 6.13ft from 6.57ft, and you should get .44 as your answer.

What is 8 x 1 + 9 x (1/10) + 6 x (1/100) + 2 x (1/1000)?

Answers

Answer:

8962

Step-by-step explanation:

8×1+9...etc..etc

= 8962

Answer:

8.962

Step-by-step explanation:

need these 3 problems answered
1.(2x-3)^2+24=0
2.(3x+1)^2-49=0
3.3x^2-12x=-45

Answers

Answer:

ummm ................

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