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

Natalie sawed five boards of equal length to make a stool. Each was 9 tenths of a meter long. What is the total length of the boards
she sawed?

PLS HELP

Answers

4.5 Meters

9/10th of 1 Meter is 0.9M
0.9M times 5 (the number of boards) = 4.5M

good luck <3

Write an algebraic expression for the phrase 6 times Z

Answers

Answer:

6z

Step-by-step explanation:

The answer would be 6z = y

How many people will 1 cup of rice serve?

Answers

Answer:

4

Step-by-step explanation:

Answer:

it will serve 3 people!

Step-by-step explanation:

divide 6 by 2!

hope this helped!

for brainliest!

Find the percent increase from 85 to 125

Answers

Answer: 47.06

Step-by-step explanation: math

need help right now due today I will get brainiest with all the answers

Answers

Answer:

9. 9 1/2

10. 1 1/2

11. 15 3/4

12. 1 1/3

13. 12 stores sell shoes.

14. the area of the floor is 7,606.625 ft²

15. 3 1/3

16. 4 skateboards

hope this helps. have a good day

Jacob won 62 super bouncy balls playing
horseshoes at the county fair. At school he
gave two to every student in his math class. He only has 2 remaining. How
many students are in his class?

Answers

Answer:

30

Step-by-step explanation:

62 = 2x + 2

62 - 2 = 2x

60 = 2x

x = 30

1. Who pays more money in taxes?
1)The middle class.
2)The more money you make, the more you pay in taxes.
3)The less money you make, the more you pay in taxes.
4) The poor.

Answers

the more money u make, the more taxes u have to pay

Answer:

the answer is 2

Step-by-step explanation:

Can someone please help!!!!

Answers

Answer:

2/5

Step-by-step explanation:

since the denominators are the same, the question is basically -4+6, which is 2.  But remember to include the denominator

4. A rectangle has a diagonal of 8 cm. The diagonal creates a 60° angle at the base of the rectangle.
[2]
a. Draw a picture of the rectangle
[4]
b. Write an EXACT expression for the base and the height of the rectangle.
[2]
C. Use your expressions to find the EXACT area of the rectangle.

Answers

9514 1404 393

Answer:

  a) see attachment

  b) base: 4, height: 4√3

  c) area: 16√3

Step-by-step explanation:

a) The figure is drawn in the attachment

__

b) The side lengths of a 30-60-90 right triangle have the ratio ...

  1 : √3 : 2

Multiplying these by 4 gives the side lengths of each triangle created by the diagonal. The base (short leg) is 4 units; the height (long leg) is 4√3 units.

__

c) The area is the product of base and height:

  A = bh

  A = 4(4√3) = 16√3 . . . . square units


Gabriel lives and works in Michigan, which has a flat state income tax of
4.25%. If his annual salary is $69,255 and he gets paid once a month, how
much is withheld from his gross income for state income tax each pay
period?

Answers

Answer:4,050

Step-by-step explanation:

Withholding Rate: 4.25% | Personal Exemption: $4,400 | 2019 Michigan Income Tax Withholding Tables. Withholding Rate: 4.25% | Personal Exemption: $4,050 | 2019 Michigan Income Tax Withholding Tables.

A=
B=
Blank 1:
Blank2:

Answers

Answer:

a=3,b=1

Step-by-step explanation:

In a parallelogram opposite sides are equal/congruent.

Using this, we know that 3a-4=a+2 and b+1=2b

1st equation:

3a-4=a+2

-a       -a

2a-4=2

   +4 +4

2a=6

a=3

2nd equation:

b+1=2b

-b     -b

b=1

a=3, b=1

2010
can
Regina had 30 meters of ribbon. She gave 2.7 meters of the ribbon to each
of her four friends and used the rest to tie some presents for her birthday
party. Each present required 75 centimeters of ribbon to tie. Find the
maximum number of presents Regina could tie.

Answers

Answer:

25 presents.

Step-by-step explanation:

First subtract 2.7(4) from 30.

30 - 2.7(4) = 19.2 meters

Now, convert 19.2 into centimeters.

There's 100cm in 1m, so 19.2 meters can be found by doing:

19.2 x 100 = 1920 cm.

Now, do 1920 divided by 75:

1920/75 = 25.6

Since you can't tie 0.6 of a present, you disregard that. So, she can tie 25 presents.

Please help me with this question

Answers

Answer:

The answer would be C

Step-by-step explanation:

The reason it is C, is because, if you add 13 to 3, you would get 16. Then, by dividing that by 2, you would get the desired answer of 8.

Answer:

c

Step-by-step explanation:

I just know because I worked it out on paper

Another way to find slope is with the slope formula (y2-y1/x2-x1 find the slope of (3,2) (7,4)

Answers

Answer: 2/4=1/2

Step-by-step explanation: 4-2=2. 7-3=4

Answer:

1/2

Step-by-step explanation:

4-2=2

7-3=4

2/4

HL
ASA
SSS
AAS
SAD
Not congruent

Answers

Answer: 4

Step-by-step explanation:

i think

Determine whether the figures are similar.

Answers

Answer:

you don't have enough information, you would need one of the long lengths on the smaller parallelogram to determine similarity

Step-by-step explanation:

probably not enough info, have a good day!! stay safe

Approximately 4 out of 5 students in Mrs.
Haynes 7th grade math class have cell
phones. If there are 365 students in the 7th
grade, how many would you expect to have
a cell phone?

Answers

Answer:

292

Step-by-step explanation:

take 365x 4/5=292.........

The number of students having a cell phone if Approximately 4 out of 5 students in Mrs. Haynes 7th grade math class have cell phones, and there are 365 students in the 7th, is 292.

What is multiplication?

The fundamental concept of making the same number of additions repeatedly is represented by the action of multiplication.

The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors.

Given:

Approximately 4 out of 5 students in Mrs. Haynes 7th grade math class have cell phones, and there are 365 students in the 7th,

Calculate the number of students having a cell phone as shown below,

The number of students having a cell phone = 4 / 5 of 365

The number of students having a cell phone = 4 / 5 × 365

The number of students having a cell phone = 4 × 73

The number of students having a cell phone = 292

Thus, The number of students having a cell phone is 292.

To know more about multiplication:

https://brainly.com/question/1135170

#SPJ1

A company makes cylindrical candles by melting wax and putting into 3 inch diameter cylindrical jars one block of candlewax with a volume of 360 in.³ is used to make a box of 10 identical candles

Answers

I believe the answer is 1in

Answer: I said 1 inch. I am not 100% sure.

Step-by-step explanation:

Please help me asap this is due in 10 min Ill also mark brainliest

Answers

As we know that formula of area of circle is πr²

So let's apply formula

π×8.6×8.6

=232.2

=200 is the nearest hundredth.

You have to do rest of all through this method.

1) 232.35 2) 52.81 3) 373.25

Write the slope intercept form of the equation of the line through the given points

Answers

Answer:

9) y = -3x - 4

10) y = -1/3x + 14/3

11) y = x - 1

12) y = -7/5x - 18/5

13) y = 3/5x + 9/5

14) y = -2x - 3

Step-by-step explanation:

For this explanation, let's use the last problem as the example. You would use the formula y=mx+b. The first thing you would need to find would be the slope, or m. So, you would find the slope and conclude the answer is -2. After that, you would solve for b and get the answer. Hope this helped!

999 pencils cost \$7.74$7.74dollar sign, 7, point, 74.
Which equation would help determine the cost of 666 pencils?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
\dfrac{6}{x} = \dfrac{9}{\$7.74}
x
6

=
$7.74
9

start fraction, 6, divided by, x, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction

(Choice B)
B
\dfrac{x}{6} = \dfrac{9}{\$7.74}
6
x

=
$7.74
9

start fraction, x, divided by, 6, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction

(Choice C)
C
\dfrac{9}{6} = \dfrac{x}{\$7.74}
6
9

=
$7.74
x

start fraction, 9, divided by, 6, end fraction, equals, start fraction, x, divided by, dollar sign, 7, point, 74, end fraction

(Choice D)
D
\dfrac{6}{x} = \dfrac{\$7.74}{9}
x
6

=
9
$7.74

start fraction, 6, divided by, x, end fraction, equals, start fraction, dollar sign, 7, point, 74, divided by, 9, end fraction

(Choice E)
E
None of the above

Answers

Oh yeah lol I did it on the cross and I thought it was

Answer:

A= 6/x=9/$7.74

Step-by-step explanation:

Khan Academy

s
is inversely proportional to
t
.
When
s
=
0.3
,
t
=
8

Work out
s
when
t
=
0.4

Answers

Answer:

s inversely proportional 1/t

s=0.3, t=8

s=k/t

0.3=k/8

k=0.3×8

k=2.4

find s when t=0.4

s=2.4/0.4

s=6.0 or 6

plz hellp me plzzzzzzzzzz​

Answers

Answer:

3n+6

Step-by-step explanation:

3x-2y=1x+4y=33 elimination process ​

Answers

Answer:

x = 5 ; y = 7

Step-by-step explanation:

3x - 2y = 1       --------------------(I)

 x + 4y  = 33 ------------(II)

Multiply equation (II) by (-3) and then add. So, x will be eliminated and we can find the value of y

(I)            3x - 2y = 1

(II)*(-3)   -3x -12y = -99         {Now add}

                 - 14y = -98

                        y = -98/14

y = 7

Plugin y = 7  in equation (I)

3x - 2*7 = 1

  3x - 14 = 1

         3x = 1 + 14

         3x = 15

           x = 15/3

x = 5

3.2 - 5.1n - 3n + 5= n +8.2 can someone tell me what goes in the blank

Answers

The answer for (n) is 0

A consumer agency wants to determine which of two laundry detergents, A or B, cleans better. Fifty pieces of fabric are subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale of 1–10, with 1 being the least clean to 10 being the most clean. The mean rating for detergent A is found to be significantly less than the mean rating for detergent B.

Answers

Answer:

B is the better detergent

Step-by-step explanation:

If A has a lower number on the 1-10 scale, that means on average it was closer to the lower end, or the least clean end. This means that A cleans worse than B., and B is better.

The two laundry detergents B cleans better.

Although the questions seems to be tricky at the begging because of a lot of numbers, but actually it is not.

Given to us in the question that, 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B.

Thus, we can say that the sample size for both detergent A and detergent B is same. Also, the sample is distributed randomly meaning the sample is unbiased (fair).

Also, as given the mean rating for detergent A is found to be significantly less than the mean rating for detergent B. And we know that the mean is the average of a set of given numbers.

Therefore, we can conclude that if detergent A has a lower mean meaning, it has cleaned the clothes with less effectiveness as compared to detergent B.

Hence, Out of the two laundry detergents, B cleans better.

To know more visit:

https://brainly.com/question/16967035

30 POINTS!!!!!!!!!!!!!!!!!!!! HELP PLZ
A scatter plot is shown below:

A graph shows numbers from 0 to 10 on the x axis at increments of 1 and the numbers 0 to 15 on the y axis at increments of 1. The ordered pairs 0, 14 and 1, 11 and 2, 9 and 3, 10 and 4, 7 and 5, 7 and 6, 5 and 7, 5 and 8, 3 and 9, 1 and 10, 0 are shown on the graph.

Which two ordered pairs can be joined to best draw the line of best fit for this scatter plot?

(4, 15) and (10, 7)
(1, 6) and (6, 0)
(0, 13) and (10, 11)
(0, 13) and (10, 0)

Answers

Answer:

kk

Step-by-step explanation:

(0, 13) and (10,11)

If each of the numbers in the following data set were multiplied by 17, what
would be the median of the data set?
28, 58, 20, 14, 18, 71, 36
A. 986
B. 1207
C. 476
D. 612

Answers

Answer:

B

Step-by-step explanation:

why is it when you take a shower and you come out clean, how does the towel become dirty? This some real mathematics

Answers

okay. so, when you wash your hair, there is no way to get 100% of the shampoo/conditioner out of your hair, so the excess it rubbed onto the towel. Say you have no hair. The shower isn't germ-free, so even if you feel clean, the towel and yourself is still a harbor of germs, good and bad.

Evaluate x + y , for x = 8 and y = -15
A. 7
B. 23 15 POINTS!
C. -7
D. -23

Answers

Answer:

-7



Explanation:

-15-8 = -7

You just need to bring over the negative to the answer but other than that subtract . Hope this explanation helps. Would appreciate brainliest
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