A standard train ticket in a certain city costs $1.50 per ride. People who use the train also have the option of purchasing a frequent rider pass for $17.25 per month. With the pass, a ticket costs only $0.75 per ride. How many train rides a month make the frequent rider pass a better deal than standard train tickets?

Answers

Answer 1

Just off the bat 17$is 12 rides and then 17.25 +0.75 is 18 so 13 rides

Answer 2
x = number of rides per month.

Without the pass, the cost per ride is 2.00 per ride.

With the pass, the cost per ride is 1.25 per ride plus 15.75 per month.

You want to know at what number of rides does the cost per ride using the pass become cheaper than the cost per ride without using the pass.

The formula for total cost is as follows:

without the pass:

C1 = 2*x

with the pass:

C2 = 15.75 + 1.25*x

You want to know when C2 becomes less than C1.

C2 < C1 is the inequality equation you are looking for.

Since C2 = 15.75 + 1.25*x, and C1 = 2*x, this equation becomes:

15.75 + 1.25*x < 2*x

Subtract 1.25*x from both sides of this equation to get:

15.75 < 2*x - 1.25*x which becomes:

15.75 < .75*x

Divide both sides of this equation by .75*x to get:

15.75/.75 < x

Simplify to get:

21 < x

21 < x is the same as x > 21.

Your answer is the C2 becomes cheaper than C1 when x > 21.

If you make x = 21, then:

C1 = 2*21 = 42
C2 = 15.75 + 1.25*21 = 15.75 + 26.25 = 42

They are equal.

If you make x = 22, then:

C1 = 2*22 = 44
C2 = 15.75 + 1.25*22 = 15.75 + 27.5 = 43.25

43.25 is cheaper than 44 so C2 is cheaper than C1, confirming that the equation is good.

Related Questions

jester has a piece of wood measuring 1 and 2/3 m.he needs to cut in pieces measuring 3/4 m long.how many pieces of wood did jester cut​

Answers

Answer:

2 pieces

Step-by-step explanation:

Given

[tex]Length = 1\frac{2}{3}m[/tex]

[tex]Pieces = \frac{3}{4}m[/tex]

Required

Calculate the number of pieces

To do this, we have to divide the length of the wood by the length of each piece.

Represent this with x

[tex]x= \frac{Length}{Pieces}[/tex]

[tex]x= 1\frac{2}{3}/\frac{3}{4}[/tex]

Convert mixed numbers to improper fraction

[tex]x= \frac{5}{3}/\frac{3}{4}[/tex]

Change division to multiplication

[tex]x= \frac{5}{3}*\frac{4}{3}[/tex]

[tex]x= \frac{20}{9}[/tex]

[tex]x = 2.22[/tex]

[tex]x = 2[/tex]

Substitute x=3y+1 into the expression-x -7 and simplify

Answers

Answer:

Step-by-step explanation:

x-7

3y+1-7

3y-6

3x+y=10
Which are solutions of the linear equation select all that apply

(1,6)
(2,4)
(3,1)
(4,-1)
(5,-5)

Answers

The only answer is (2,4)

5x - 4y = -8 x + 4y F-16​

Answers

The answer is 12 I think

plz help me i need it done​

Answers

Answer:

Final answers are ,

• 9

•-7

• 7

• -85

Step-by-step explanation:

Given that when we input a number then first it will be multiplied by 2 and finally decreased by(-1) .

Input 5 :-

• Firstly Multiplying it by 2 → 2× 5 = 10

• Subtracting 1 from it → 10 - 1 = 9

Output = 9

====================================

Input (-3) :-

• Firstly Multiplying it by 2 → 2× -3 = -6

• Subtracting 1 from it → -6- 1 = (-7)

Output = (-7)

====================================

Input 4 :-

• Firstly Multiplying it by 2 → 2× 4 = 8

• Subtracting 1 from it → 8 - 1 = 7

Output = 7

====================================

Input (-42) :-

• Firstly Multiplying it by 2 → 2× -42 = -84

• Subtracting 1 from it → -84 - 1 = -85

Output = (-85)

====================================

Find the missing side length in the right triangle below.

Answers

Answer:

69

Step-by-step explanation:

using the numbers 3, 5, and 8, can you write nine proper fractions and nine improper fractions? You may use each number only once within a fraction. ​

Answers

Answer:

First, we can write a fraction as a/b

Where a is the numerator, and b is the denominator.

A proper fraction is a fraction where the numerator is smaller than the denominator.

Using only the given numbers (only once per fraction), some examples of proper fractions are:

3/5

3/8

5/8

3/85

3/58

5/83

5/38

8/35

8/53

You can see that in all of them the denominator is larger than the numerator.

The improper fractions are those where the numerator is equal or larger than the denominator.

The 9 examples using the given numbers are:

5/3

8/5

8/3

35/8

38/5

53/8

58/3

83/5

85/3

solve for brain list asap​

Answers

Answer:

i believe the answer to this x=8

Evaluate 16/9 -2/9
4 2/3
2 2/3
1 5/9
2 4/9

Answers

Answer: C, 1 5/9

Step-by-step explanation:

16/9 - 2\9

= 14/9

= 14 ÷ 9

= 14/9 = 1 5/9

= 16/9 ÷ 2/9= 1 5/9

9.) Is the graph below line your nonlinear?

Answers

Answer:

Linear.

Step-by-step explanation:

A linear graph is any straight-line graph. That's a straight line.

Answer:

No

Step-by-step explanation:

This graph is not a non-linear line, in fact, it's a linear line. A non-linear line is a line that is not straight, a line that is curved. And as you can see in this graph, the line is straight which makes it a linear line.

Hope this helped!

Aniyah is driving home at a constant speed. After 20 minutes, she is 70 miles from
home. After 1 hour, she is 40 miles from home. What equation models her distance
from home, y, as a function of time, x? Show your work.

Answers

Answer:

Aniyah is driving home at a constant speed. After 20 minutes, she is 70 miles from

Step-by-step explanation:

home. After 1 hour, she is 40 miles from home. What equation models her distance

from home, y, as a function of time, x? Show your work.

PLEASE ANSWER THIS ASAP, I WILL BE GIVING YOU A THANKS!

Answers

Answer:

cccccccccccccccccccccc

Answer:

It is D.) Infinite Solutions

Step-by-step explanation:

0.5(10x + 6) = 2x + 3 + 3x

5x + 3 = 5x + 3

A crafter is making a triangular flag. She has two sides of length 22 in and 36 in. What are the length possibilities for the third side?

Answers

Answer:

22 in.

Step-by-step explanation:

IN MY BRAIN

the answer is 58^2 because of pythagorean theorem

At a trout farm, most of the trout have a length of 23.5 cm. The length of some differ from this by as much as 2.1 cm. Write and solve an absolute-value inequality to find the range of lengths of the trout.

Answers

Answer:

21.4 ≤ x ≤ 25.6

Step-by-step explanation:

The absolute value of a number is the non-negative value of the number without regard to its sign.

The absolute value of a real number x (|x|) is x for x is positive and -x for x is negative.

Let x represent the length of the trout. Since most trout have a length of 23.5 cm and differ by 2.1 cm, then x can be represented by:

|x - 23.5| ≤ 2.1

x - 23.5 ≤ 2.1 or -(x - 23.5) ≤ 2.1

x ≤ 2.1 + 23.5 or x - 23.5 ≥ -2.1

x ≤ 25.6 or x ≥ 21.4

Hence, the range of lengths of the trout is 21.4 ≤ x ≤ 25.6

find the slope thanks ​

Answers

Answer:

Hello! Just here so the other person can get brainliest. I will do the same for the other questions.

Step-by-step explanation:

Hello? Someone please help me with this.

Answers

Answer:

16x-6

Step-by-step explanation:

well in order to do so

u have to multiply 2 to 8x to get 16x

and then, multiply the 2 to -3 to get -6

this is the distributive property form. and that's how u get ur answer

Which set of side lengths form a right triangle?
2 inches, 3 inches, 4 inches
6 inches, 8 inches, 10 inches
8 inches, 9 inches, 11 inches
10 inches, 12 inches, 13 inches

Answers

Answer:

It’s 10 inches, 12 inches, 13 inches

Step-by-step explanation:

Use the scale factor to find the area of the enlarged figure. Explain your steps.


A small rectangle has a length of 8 and width of 4. A large rectangle has a length of 25.6 and width of a.

Answers

9514 1404 393

Answer:

  327.68 units^2

Step-by-step explanation:

The area of the small figure is ...

  area = length · width

  area = (8)(4) = 32 . . . . square units

The scale factor is ...

  scale factor = large length / small length = 25.6/8 = 3.2

The area of the larger rectangle will be the small rectangle area multiplied by the square of the scale factor:

  (32 units^2)(3.2^2) = 327.68 units^2

_____

Additional comment

We note the width is half the length, so we could figure the larger rectangle's width at 25.6/2 = 12.8 units. Then its area would be

  length · width = (25.6 units)(12.8 units) = 327.68 units^2

This seems easier to me, but is not the method required by the problem statement.

Answer:

The scale factor of the enlargement is 3.2. Square the scale factor to get 10.24. Find the area of the original figure, which is 32. Multiply 32 and 10.24 to get the area of the enlarged figure, which is 327.68.

Step-by-step explanation:

This is the sample response but I would use the other pearsons answer because it is NOT the sample response.

Have a great day!

32. A volleyball team played 25 games. The ratio of games won to
games lost was 6:4. How many games did the team win?

Answers

Number of volleyball games team win is 15 games

Given that;

Number of volleyball games = 25 games

Won to lost ratio = 6:4

Find:

Number of volleyball games team win

Computation:

Number of volleyball games teams win = 25[6 / (6+4)]

Number of volleyball games teams win = 25[6 / 10]

Number of volleyball games team win = 15 games

Learn more:

https://brainly.com/question/24140426?referrer=searchResults

The average weight of a mature human brain is approximately 1400 grams. What is the equivalent weight in pounds? Use the conversion equivalency 1 kilograms (kg) = 1000 grams (g) and 2.20 pounds (lb) = 1 kg.
a.
5.11 lb
b.
3.08 lb
c.
636 lb
d.
25.8 lb

Answers

the answer is b... 1400= 3.08

composite numbers to 30

Answers

Answer:

4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, Step-by-step explanation:

Consider the following frequency table representing the scores on a test.

Scores on a Test

Class Frequency
40–43 7
44–47 7
48–51 7
52–55 8
56–59 4

Required:
a. Determine the lower class boundary for the fifth class.
b. Determine the upper class boundary for the second class.
c. Determine the class width of each class.
d. Determine the number of scores between 39.5 and 55.5

Answers

Answer:

(a)56

(b)47

(c)3

(d)29

Step-by-step explanation:

From the given frequency

(a) Fifth class is 56-59.

    The lower class boundary for the fifth class is 56.

(b) Second class is 44-47.

    The upper-class boundary for the second class is 47.

(c) Class width = 47-44 = 3, 47-44 = 3.

(d) Number of scores between 39.5 and 55.5 is

    =7 + 7+ 7 + 8 =29

You spin a spinner with four numbers on it, and flip a coin. Find the probability of the compound event.
The probability of spinning a 3 and flipping heads is:

Answers

Answer:

I think 4/7 but i'm not sure.

Step-by-step explanation:

Answer:

it's 3/4 not sure

Step-by-step explanation:

The graph of a proportional relationship is given along with an equation for a difference relationship. Which situation has a greater unit rate?
•A
• B
•C

Answers

Answer:

I think its C

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

yo welcome....

NANNIIII?!

Heather studied for 30 minutes several days in a row. Before her test, she also studied for 10 more minutes. The total amount of time she spent studying was 280 minutes. Write and solve an equation to determine how many days she studied. Let d represent the number of days.

Answers

Answer:

9 days

Step-by-step explanation:

280=30d+10

270=30d

9=d

what is half of 3.5

Answers

1.25 Step-by-step explanation:

Answer:

1.75

Step-by-step explanation:

3.5/2 = 1.75

hope this helps

Practice:
3. The table shows the attendances y(in thousands) at an amusement park from 2005 to
2014, where x = 0 presents the year 2005.
Year, x
Attendance, y
0
850
1
845
2
828
3
798
4
800
5
792
6
785
7
781
8 9
775 760
The equation of the line of best fit is:
a
Interpolation: Approximate the year with b. Extrapolation: Predict the attendance at
an attendance of 770,000 people.
the amusement park in 2017.

Answers

omg that was hard I see that in my module to

1. Dixie has a bag of coins. The bag contains 10
dimes, 1 nickels, and 4 penny. She will randomly
choose a coin from the bag. What is the probability
that Dixie will NOT choose a penny?
C.
15
15
A.
B.
D. Not Here
4
Please help me I give brainilest

Answers

Answer:

Its A 11/15

Step-by-step explanation:

There are 15 probabilities and 4 of them are pennies which you cant choose from that elimenates 4 possible outomes so subtract the 4 you get 11.

4x-5+2r= -11

What is the value of x?

Answers

It would be 2x+r=-3

Hope this helps

Have a great day/night

The quotient of 56 and a number

Answers

Answer:

yes

Step-by-step explanation:

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