You ride an express bus from the center of town to your street. You have two payment options. Option A is to buy a monthly pass for $30 and pay $0.80 per ride. Option B is to pay $2.30 per ride. After how many rides will the total costs of the two options be the same?

Answers

Answer 1

Answer:

20 rides

Step-by-step explanation:

Let x represent how many rides you take.

Option A's cost can be represented by 0.8x + 30.

Option B's cost can be represented by 2.3x.

Set these expressions equal to each other, then solve for x:

0.8x + 30 = 2.3x

30 = 1.5x

20 = x

So, the costs will be the same at 20 rides


Related Questions

Select the two values of x that are roots of this equation.
X2 + 2x - 5 = 0

Answers

Answer:

[tex]x=-1+\sqrt{6 }[/tex]

[tex]x=-1-\sqrt{6 }[/tex]

Step-by-step explanation:

[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

Ignore the A before the ±. It wouldn't let me type it correctly.

x² + 2x - 5 = 0

a = 1

b = 2

c = - 5

[tex]x=\frac{-2±\sqrt{2^{2}-4((1)(-5)) } }{2(1)}[/tex]

[tex]x=\frac{-2±\sqrt{4-4((1)(-5)) } }{2(1)}[/tex]

[tex]x=\frac{-2±\sqrt{4+20 } }{2(1)}[/tex]

[tex]x=\frac{-2±\sqrt{24 } }{2}[/tex]

[tex]x=\frac{-2±\sqrt{(2)(12) } }{2}[/tex]

[tex]x=\frac{-2±\sqrt{(2)(2)(6) } }{2}[/tex]

[tex]x=\frac{-2±\sqrt{(2)(2)(2)(3) } }{2}[/tex]

[tex]x=\frac{-2±(\sqrt{2} )(\sqrt{2})(\sqrt{(2)(3) )} }{2}[/tex]

[tex]x=\frac{-2±2\sqrt{6 } }{2}[/tex]

Two separate equations

[tex]x=\frac{-2+2\sqrt{6 } }{2}[/tex]

[tex]x=\frac{-2-2\sqrt{6 } }{2}[/tex]

[tex]x=-1+\sqrt{6 }[/tex]

[tex]x=-1-\sqrt{6 }[/tex]

What is the measure of arc WYZ?
----------

231

255

200

168

Answers

9514 1404 393

Answer:

  (a)  231°

Step-by-step explanation:

  arc WYZ = arc WX + arc XYZ

  arc WYZ = 51° +180° . . . . . XZ is a diameter, substitute known arc measures

  arc WYZ = 231°

Find the missing side length.

Answers

Answer:

x = 4ft

Step-by-step explanation:

[tex]by \ Pythagoras \ theorem : \\x^2 = 3^2 + 3^2 \\\\x^2 = 9 + 9 = 18\\x = \sqrt{18} = \sqrt{2 \times 3 \times 3} = 3\sqrt{2}\ = 4.24 = 4ft[/tex]

Ramon drew boxplots to summarize the number of pages in each chapter of two books. The values of the interquartile ranges for these boxplots are the same. Which boxplot could represent this data?

Answers

Answer

look at the ss i sent to see the answer

Step-by-step explanation:

If the diameter of the circle is 42 cm, then the area of ​​the shaded area is​

Answers

9514 1404 393

Answer:

  781.4 cm²

Step-by-step explanation:

The shaded region consists of four (4) 30° sectors and eight (8) 60° segments. The formulas for the areas of these figures can be used.

  area of sector = (1/2)r²θ

  area of segment = (1/2)r²(θ -sin(θ))

For radius r, the area of the 4 sectors is ...

  sector area = 4(1/2)(r²)(π/6) = (π/3)r²

and the area of the 8 segments is ...

  segment area = 8(1/2)(r²)(π/3 -sin(π/3)) = 4r²(π/3 -√3/2) = (4/3)πr² -r²(2√3)

So, the total shaded area is ...

  shaded area = r²(π/3 +4π/3 -2√3)

The radius of the circle is 21 cm, so the shaded area is ...

  (21 cm)²(5π/3 -2√3) ≈ 781.4 cm²

I NEED HELP ITS ALMOST DUE!!

Answers

I think the value of w would be 9

Answer:

B) 9

Step-by-step explanation:

rise over run and simplify

Which of the following points are in the second quadrant of the xy-plane? Check all that apply. O A. (-4,2) O B. (-7, 6) O C. (4,8) O D. (2,2) O 6 E. (6,-2) O F. (-2,-8)​

Answers

Answer:

a and b bc that are in the negative-positive quad

2 birds are building a nest. Bird A is flying toward the nest at the same time bird B is flying away from it

Answers

Answer:

Step-by-step explanation:

is it that 1 bird is at the nest and the other is flying away ?


Simplify the following expression as much as possible.
(4+1)-(3-51)(-2+57)
O A. -15-241
O B. 35-241
O C. -15+ 261
O D. 35+261

Answers

It’s C

I did the problem...

Find the distance between each pair points

Answers

Message me the calculations

length of wall is 13.5m calculate the area in cm2 ​

Answers

Answer:

15 Apr 2018 — Area of path parallel to the remaining length of ... Area of parallelogram ABCD = AB × AE = 8 × 4 cm2 ... We can also calculate area of shaded portion by using area of..

Answer:

185.25 cm^2

Step-by-step explanation:

since only length is given i considered the wall as square shape. So given :

length = 13.5 cm

area of the wall = l^2

= 13.5^2

=182.25 cm^2

What is the product of n(-0.5)(-1.2)(-5.22)?

Answers

Answer:

First multiply the first two terms so (-0.5)(-1.2) = 0.6 as product of two negative numbers is positive number.

Step-by-step explanation:

Im BIg BrAiN :D

Solve the following equation for A. Be sure to take into account whether a letter is
capitalized or not.
q2 = g(-h + A)

Answers

Answer:

A = (q² + gh) / g

Step-by-step explanation:

Given equation:

q² = g(-h + A)

Solve for A

q² = g(-h + A)

q² = -gh + gA

Add -gh to both sides

q² + gh = -gh + gA + gh

q² + gh = gA

Divide both sides by g

(q² + gh) / g = gA / g

A = (q² + gh) / g


Find the numerical value of the log expression.
log a = 11
log b = -5
log c= 6

Answers

Refer to the attachment for answer...

Which of the following best describes the equation below? 3(x + 9) + 6x = 9x - 27 A. no real solutions B. exactly one real solution, x = -1 C. exactly one real solution, x = D. infinite real solutions

Answers

Answer:

no solutions

Step-by-step explanation:

3(x + 9) + 6x = 9x - 27

Distribute

3x+27 +6x = 9x -27

Combine like terms

9x +27 = 9x -27

Subtract 9x from each side

27 = -27

This is never true so there are no solutions

If one zero of the polynomial 5z2 + 13z – p is reciprocal of the other, then find p.​

Answers

Step-by-step explanation:

Please mark as brainlist !!!!!!(☆^ー^☆)

What is the least common multiple of these two denominators? 3/6 , 2/12


A: 18
B:12
C:6
D:15​

Answers

Step-by-step explanation:

simple

multiples of 6= 1, 2, 3, 6

multiples of 12= 1, 2, 3, 4, 6, 12

.L.C.M of 12 and 6= 12

PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEE easdyfhrdfghfchdfchfch

Answers

i believe it is the third option

Point J is on line segment \overline{IK} IK . Given IK=5x,IK=5x, IJ=4,IJ=4, and JK=4x,JK=4x, determine the numerical length of \overline{IK}. IK

Answers

Answer:

IK = 20

Step-by-step explanation:

If Point J is on the line segment IK, then;

IK = IJ + JK

Given that

IJ = 4

IK = 5x

JK = 4x

Substitute into the expression

5x = 4 + 4x

5x - 4x  = 4

x = 4

Get the value of IK

IK = 5x

IK = 5(4)

IK = 20

Hence the numerical length of IK is 20

857,963 five has a value of​

Answers

Answer: 5 has a value of 50 000 2.

4,289,815

Hope this helps ;)

Can somebody give me a link to Maths Progress Core 2 active learn

Answers

Just get guath math it’s free and give every answer

Helppppppppppppppppp

Answers

Answer:37.7825

Step-by-step explanation: all you really need to do is find the percentage of 595 of 6.35 which is 37.7825

someone plz help with dis ​

Answers

Think it’s 16 is the answe e

PLS HELPP ASAP


Plss help me

Answers

Answer:

a. 42

Step-by-step explanation:

10.5x4=42

A circle has a radius of 3. An arc in this circle has a central angle of 340°. What is the length of the arc? Either enter an exact answer in terms of or use 3.14 for and enter your answer as a decimal. 340tom​

Answers

Step-by-step explanation:

length of arc=2πr(340/360)

= 2x3.14x3(0.944)

=17.78 approximately 17.8

A pair of shoes is 60% off if the sale price is now $33 find the original price

Answers

Answer:

$82.5

Step-by-step explanation:

40%-33

10%-8.25

100%-82.5

Shawn rode his bike 3 miles to the library. He rode 4 miles to his friend’s house. Then, he rode 5 miles home. How many miles in all did Shawn ride his bike?

Answers

Answer is: 12 miles

Please help 7th grade math

Answers

Answer:

d = 67.5

e = 22.5

Step-by-step explanation:

d + e = 90

d = 3e

Therefore, we can simply divide 90 by 4, which gives us 22.5, and also tells us what e equals. Then, multiply that by 3 to get d.

Hope that this helps!

Ruth is knitting hats to sell at a local fair. The booth costs her $63 and the materials for each hat cost $10. She plans on selling them for $19. How many hats will Ruth have to make to break even, and how much will sales and costs be at that point? ​

Answers

Answer: Ruth have to make 7 hats to break even.

Step-by-step explanation:

Break even point is a point where Cost = Revenue.

Let x be the number of hats sold.

Given: Cost of booth = $63

Each hat cost = $10

Selling price for each cost = $19

As per given,

Total cost = Cost of booth+ (Cost of each hat)(Number of hats)

= 63+10x

Total selling price = 19x

For break even,

63+10x=19x

9x=63

x=7

Hence, Ruth have to make 7 hats to break even.

Solve the problem. A room in the shape of a triangle has sides of length 7 yards, 8 yards, and 11 yards. If carpeting costs $13.50 per square yard and padding costs $2.25 per square yard, how much to the nearest dollar will it cost to carpet the room, assuming there is no waste? $426 $419 $440 $377
BRAINLIEST TO FIRST CORRECT ANSWER
HELP ASAP!​

Answers

27.928  times 15.75

439.866 rounds to 440

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