1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lianna [129]
3 years ago
5

An Uber fare in Columbus is $3.50 for the first ½ mile and additional mileage charged at a rate of $0.30 for each additional 0.1

mile. You plan to give the driver a $2 tip. How many miles can you ride for $15? Please show or explain your calculations.
Mathematics
1 answer:
Alina [70]3 years ago
5 0

If we consider the first half mile to be charged at $0.30 per tenth also, that half-mile costs $1.50 and the charges amount to a fixed fee of $2.00 and a variable fee of $0.30 per tenth mile.

After you subtract the $2 tip and the fixed $2 fee from the trip budget amount, you have $11.00 you can spend on mileage charges. At 0.30 per tenth mile, you can travel

... $11.00/$0.30 = 36 2/3 . . . . tenth-miles

The trip is measured in whole tenths, so you can ride ...

... 36 × 1/10 = 3.6 miles

_____

If you want to see this in the form of an equation, you can let x represent the miles you can travel. Then your budget amount gives rise to the inequality ...

... 3.50 + 0.30((x -.50)/0.10) + 2.00 ≤ 15.00

... 3.50 + 3x -1.50 +2.00 ≤15.00 . . . . . . . eliminate parentheses

... 3x ≤ 11.00 . . . . . . . . . . . . . . . . . . . . . . . . collect terms, subtract 4

... x ≤ 11/3 . . . . . . . . . . . . . . . . . . . . . . . . . . divide by 3

... x ≤ 3.6 . . . . . rounded down to the tenth

You might be interested in
A ball is shot upward from a slingshot at a velocity of 15 m/s the height of the ball after t seconds is given by h(t)=10+ 5t+1/
otez555 [7]

Answer:

The instantaneous velocity after eight seconds is 9 m/s

Step-by-step explanation:

Given as :

The ball shot upward with velocity of 15 m/s

The height of the ball after t sec is given as h(t) = 10 + 5t + \frac{1}{4}t^{2}

Now, The instantaneous velocity after 8 sec = \frac{\partial h(t)}{\partial t}

Or, The instantaneous velocity = \frac{\partial (10 +5t + \frac{1}{4}t^{2})}{\partial t}

or, The instantaneous velocity = 5 + \frac{1}{4}\times 2 t

Now at t = 8 sec

The instantaneous velocity = 5 + 4 = 9 m/s

Hence The instantaneous velocity of ball at t = 8 sec , is 9 m/s  Answer

3 0
3 years ago
Solve the systems by the addition method 2x + y = - 1x - 2y = - 4
inna [77]

Answer:

x = -6/5

y =7/5

Step-by-step explanation:

2x + y = - 1

x - 2y = - 4

Multiply the first equation by 2 so we can eliminate y

2(2x + y = - 1)

4x + 2y = -2

Add this to the second equation

4x + 2y = -2

x - 2y = - 4

---------------------

5x + 0y = -6

Divide by 5

5x/5 = -6/5

x = -6/5

Multiply the second equation by -2 so we can eliminate x

-2(x - 2y = - 4)

-2x+4y = 8

Add this to the first equation

2x + y = - 1

-2x+4y = 8

---------------------

0x + 5y = 7

Divide by 5

5y/5 = 7/5

y =7/5

6 0
3 years ago
What is the value of f(4) + f(7)
tatyana61 [14]
Is there more to this problem? By saying f(4), you'd be inputting a 4 for every variable x. There is not enough info here to answer the question.
7 0
3 years ago
Y=1/2x+2 which graph represents the function
Tanya [424]

Answer:

Graph number 1

Step-by-step explanation:

According to the equation the y-intercept is 2. The only graph with the y-intercept of (0,2) is the first graph. So, graph number 1 represents the function.

7 0
3 years ago
Read 2 more answers
Plz tell me where to mark and the answers....
damaskus [11]
Well x=1 always unless it tells you other wise so 1+0.5 would equal 1.5 and so after that you keep adding so 1.5 + 0.5 equal 2 so you keep taking the previous answer and adding 0.5 to it
5 0
3 years ago
Other questions:
  • In which set are all of the numbers solutions to this inequality?
    7·1 answer
  • Find the equation of the circle that has a diameter with endpoints located at (-3,6) and (9,6)
    8·1 answer
  • PLZ HURRY IT'S URGENT!!
    14·2 answers
  • Lilly wants to get some granola bars. At Kroger you can get 6 strawberry and 4 cherry together for $6.90. At Sams club you can g
    10·1 answer
  • You are making necklaces for your friends. You have 72 blue beads and 42 red beads. Each friend will receive an identical neckla
    9·1 answer
  • Solve for x, x-6≤3 simplify
    12·2 answers
  • What is .382 as a fraction
    12·2 answers
  • What is the solution to this matrix equation?
    12·1 answer
  • NEED HELP ASAP!!!!!!
    14·2 answers
  • Please help me wit dis .
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!