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
love history [14]
3 years ago
11

The bus fare in a city is People who use the bus have the option of purchasing a monthly coupon book for With the coupon​ book,

the fare is reduced to​ $0.50. How many times must someone use the bus so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon​ book? Express the total monthly cost to use the bus with a coupon​ book, f, as a function of the number of times in the month the bus is​ used, x. Then express the total monthly cost to use the bus without a coupon​ book, g, as a function of the number of times in the month the bus is​ used, x.
Mathematics
1 answer:
SashulF [63]3 years ago
7 0

Answer:

26 times

Step-by-step explanation:

The question has missing details. However, the given parameters are

Given

Without Coupon

Bus Fare = $2.00

With Coupon

Coupon = $39.00

Bus Fare = $0.50

Represent the number of fares with x

Without Coupon, cost of fares is

Cost = 2x

i.e.

f(x) = 2x

With Coupon, cost of fares is

Cost = 39 + 0.5x

i.e.

g(x) = 39 + 0.5x

To calculate when both fares will be equal, we must have:

f(x) = g(x)

2x = 39 + 0.5x

Collect like terms

2x - 0.5x = 39

1.5x = 39

Solve for x

x = 39/1.5

x = 26

This implies that, for both cost to be equal, the person must go 26 times

You might be interested in
There are 120 children standing in a line, every third child gets a rubber, every fourth child gets a ruler and every fifth chil
nevsk [136]

Answer:

It would be the 60th child

Step-by-step explanation:

3,6,9,12,

4,8,12,16,

5,10,15,

60 is the first number that can be divided by 60/3=20 60/4=15 60/5=12

Hope this helps<3

6 0
2 years ago
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
KiRa [710]

Answer:

1863 meters^{2}

Step-by-step explanation:

( 23 x 12 ) x 2 = 552

69 x 19 = 1311

 1311

<u>+552</u>

= 1863 meters^{2}

8 0
3 years ago
What is the volume of the cube shown?
viktelen [127]
It’s 11 24/64 i did this too
3 0
2 years ago
Subtract: 6/2x^+8x - x/4x^+12x-16 = 6/2x(x+4) - x/4(x+4)(x-1) = 6•2(x-1)/2x(x+4)•2(x-1) - x•x/4(x+4)(x-1)•x
ss7ja [257]

Answer:

$\frac{-x^2+12x-12}{4x(x+4)(x-1)}$

Step-by-step explanation:

$\frac{6}{2x(x+4)}- \frac{x}{4(x+4)(x-1)} $

$\frac{6\cdot2(x-1)}{2x(x+4)\cdot2(x-1)}- \frac{x\cdot x}{4(x+4)(x-1)x} $

$\frac{12(x-1)}{4x(x+4)(x-1)}- \frac{x^2}{4x(x+4)(x-1)} $

$\frac{12(x-1)-x^2}{4x(x+4)(x-1)}$

$\frac{-x^2+12x-12}{4x(x+4)(x-1)}$

5 0
3 years ago
I got this far in my working out and am already stuck. have i gone wrong?
Kipish [7]

Yes, you made an algebraic error. By multiplying 18 x 4, you messed up on order of operations.

(x+9)(x+2)*4

becomes:

(x^2+11x+18)*4

= 4x^2 + 44x + 72


anyway, this is how I would do this problem:

(x+9)(x+2)(4) = 912

(x+9)(x+2) = 228

x^2 + 11x + 18 = 228

x^2 + 11x - 220 = 0

(x+21)(x-10) = 0

x = -21 or 10

The dimensions can't be negative, so we only use x = 10

The dimensions are then 10+9, 10+2, 4

or 19, 12, 4

6 0
3 years ago
Other questions:
  • Solve for x. 4x − 3/ 3 =7 Enter your answer in the box. x =
    9·2 answers
  • Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x)= 6x^1/3 + 3x^4/3. You must justify
    14·1 answer
  • Can someone help me wit da question listed in da picture?
    8·2 answers
  • write in point-slope form an equation of the line that passes through the point (6,2) with slope of 4
    9·1 answer
  • Jason walked for 0.75 hours at a rate of 3.4 miles per hour. He determines that he walked 0.255 miles. Which best explains Jason
    13·2 answers
  • Bought to video games for a total of $55 their prices have a difference of $15
    6·1 answer
  • Answer and I will give you brainiliest ​
    14·2 answers
  • ZABD and ZDBC are supplementary angles.
    11·1 answer
  • Each bag juwad picked holds 15 apples. How many apples did he pick in two weeks? write an expression to represent this problem.
    7·2 answers
  • What is the vertex of the graph of y = x^2+ 4x?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!