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.

Answers

Answer 1

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


Related Questions


WZ=WZ is what logic property
please help!!

Answers

Answer:

it is b

Step-by-step explanation:

Simplify the following Boolean expressions to the minimum number of terms using the properties of Boolean algebra (show your work and write the property you are applying). State if they cannot be simplified.

A. A’B + AB

B. XY + X(WZ + WZ’) the answer is B.

The pairs of polygons are similar. Give the scale factor of Figure A to figure B

Answers

Answer:

2/5

Step-by-step explanation:

Use two corresponding sides.

In triangle A, look at the side between 1 mark and 2 marks on the angles. Its length is 10.

In triangle B, look at the side between 1 mark and 2 marks on the angles. Its length is 4.

To find the scale factor from A to B, divide a length in B by its corresponding length is A.

4/10 = 2/5

Answer: The scale factor from A to B is 2/5.

Given that Figure A and Figure B are similar polygons, the scale factor of Figure A to Figure B = 5/2.

Recall:

Similar Polygons have corresponding side lengths whose ratio are equal. That is, their pairs of corresponding sides are proportional.The ratio of any of their corresponding side length = scale factor

Given the two pairs of similar polygons, the scale factor of figure A to figure B will be calculated as follows:

A side length of Figure A = 10Corresponding side length of Figure B = 4

Scale factor of Figure A to Figure B = 10/4 = 5/2

Learn more about similar polygons on:

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In the quadrant you start at (5,2) and move 3 units left and 2 units up.

Answers

Answer:

(2,4)

Step-by-step explanation:

Your x-value goes 3 units to the left which is subtracting the value and your y-value is going up by 2 which is adding to your y-value.

Which building is located in Quadrant​ II?

Answers

The quadrants are labeled with quadrant I (numeral one) and the upper right part is quadrant II (Roman numeral two)

Natalie is an expert archer. The following table shows her scores (points) based on the number of targets she hit.
Targets hit 111 222 555
Points 333 666 151515
Plot the ordered pairs from the table.
Are Natalie's points proportional to the number of targets she hit?

Answers

Answer:

The answer is A

Step-by-step explanation:

The graph should look like this.

The graph for the points is attached with the answer the graph is linear.

What is an ordered pair?

An ordered pair in mathematics is a set of two things. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples or 2-length sequences.

Given that the points are:-

Targets hit    1      2         5

Points           3     6         15

The graph of the point will be linear. The points will come at the linear stage.

The graph of the points is attached with the answer below.

To know more about an ordered pair follow

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Equation is y=1.5x+4 find an answer for:

Write an equation in standard form whose line is less steep and translated down 7 units.

Answers

Answer:

  6x -5y = 15

Step-by-step explanation:

The given line has a slope of 1.5 and a y-intercept of 4. We assume that "translated down 7 units" means the y-intercept needs to be -3. "Less steep" will mean the slope is less than 1.5. We can make the slope be 1.2, so it will be less steep.

Then the slope-intercept form of the desired line is ...

  y = 1.2x -3

Adding 3-y, this becomes ...

  1.2x -y = 3

Multiplying this by 5 to put it into standard form, we have ...

  6x -5y = 15

_____

Additional comment

Since the lines have different slopes, each point on the original line will be translated up or down by a different amount. We chose the y-intercept as the point to be translated by the specified amount. The question could be more clear on that point, as well as whether lines with negative slope (say, -2) are considered to be "less steep."

There are 8 states in the United States that begin with the letter “M.” If you chose a state at random, what is the probability you get a state that begins with the letter M? What is the probability you don’t get a state that begins with the letter M?

Answers

Answer: 8/50

Step-by-step explanation:

simplified is 4/25

Which are two numbers that multiply to -20 but add to 1

Answers

Answer:

-4 and 5

Step-by-step explanation:

(-4)(5)

=-20

(-4)+5

=1

The two numbers that multiply to -20 but add to 1 are 5 and -4.

We have,

To find two numbers that multiply to -20 but add to 1, we can set up a system of equations.

Let's assume the two numbers are x and y.

We can set up the following equations based on the given conditions:

Equation 1: xy = -20 (the numbers multiply to -20)

Equation 2: x + y = 1 (the numbers add to 1)

To solve this system of equations, we can use the substitution or elimination method.

Let's use the substitution method here:

From Equation 2, we can rewrite it as y = 1 - x.

Now substitute this value of y into Equation 1:

x(1 - x) = -20

Expanding the equation:

x - x² = -20

Rearranging the equation:

x² - x - 20 = 0

Now we have a quadratic equation.

We can factor it or use the quadratic formula to find the values of x.

Factoring the quadratic equation, we get:

(x - 5)(x + 4) = 0

Setting each factor equal to zero, we have:

x - 5 = 0 or x + 4 = 0

Solving for x, we get:

x = 5 or x = -4

Now, substitute these values of x back into Equation 2 to find the corresponding values of y:

For x = 5:

y = 1 - x = 1 - 5 = -4

For x = -4:

y = 1 - x = 1 - (-4) = 5

Therefore,

The two numbers that multiply to -20 but add to 1 are 5 and -4.

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Find the constant rate of change!

Answers

Answer: rate of change: increasing by 2

Step-by-step explanation:

Try and increase it by 2, hope this helps!

(that's a line by the 2 not a 12) PLS HELPP

Answers

Answer:

x lessthen or equel to 3/2

Step-by-step explanation:

What number makes the equation true?
+ 13 = 47

Answers

Answer:

x=34

Step-by-step explanation:

Just take 47-13=34

0.38 is ten times as much as

Answers

Answer:

0.38 is ten times as much as 0.038

What is 18 9/11 - 8 3/8

I need help asap

Answers

Answer:

10.44318182 or 919/88 or 10 39/88

Step-by-step explanation:

I used my calculator :)

Answer:

Step-by-step explanation:

18 9/11 - 8 3/8

First, we need to convert these fractions to improper fraction,

(18 * 11 + 9 / 11) - (8 * 8 + 3 / 8)

=> 207 / 11 - 67 / 8

Next, we need to find the LCM, the LCM of 8 and 11 = 88 (This is because 8 and 11 share no common factors other than 1, so the LCM will be the product of the 2 numbers)

=> (207 * 8) / (11 * 8) - (67 * 11) / (8 * 11)

=> 1656 / 88 - 737 / 88

So, then we just need to subtract the numerators to get the answer,

=> (1656 - 737) / 88

=> 919 / 88

Now, let us return it to the mixed fraction form,

=> 10 39/88

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

divede decimals by a whole number in this question 3.9÷3​

Answers

Answer:

The answer is 1.3, 1 3/10

Answer:

1.3

Step-by-step explanation:

we divide as if it were normal division. we divide 3 by 3 and get 1 and then we bring our decimal point up and finally divide the 9 by 3 and get the answer of 1.3

answer please asap and explanation would be appreciated

Answers

The answer is 120 for sure, I believe

Please help fast please please fast

Answers

Answer:

y^7

Step-by-step explanation:

all you have to do is add y^2 and y^5 together and that gets u y^7

High Hopes^^

Barry-

Answer:

[tex]y^{5}[/tex]×y²=[tex]y^{b}[/tex]

[tex]y^{5+2}[/tex]=[tex]y^{b}[/tex]

b=7

Step-by-step explanation:

How many pounds does an 10 kilogram object exert on the Earth? (Round to the nearest whole number and do not include units in your answer.) Note: There are 2.205 pounds in a kilogram.

Answers

Answer:

22 lb

Step-by-step explanation:

10 kg ⋅ 2.205 lb/1 kg ≈22 lb

1/2(10x-6)=4x+10 what is the value of x that makes the equation true?

Answers

Answer:

x=13

Step-by-step explanation:

Which of the following rational numbers has the smallest absolute value?

-1.5
-4
8
0.5

Answers

-4 because it is the lowest number you see and -4 is the value..?

Answer:

0.5 has the smallest absoulte value

Step-by-step explanation:

To find the absolute value of a number just take off the negative sign and levae the posotive numbers as is.

Find each product.
Any could please ASAP

Answers

Answer:

8x+6

12p^2 -28p

8a^2 -10a

40v+16

12x-6

48x+12

12k+42

42n+36

8k-16

7k^5 +7k^4

20a+30

9p^3 -15p^2

56n^2 +35n

21v^3 +12v^2

20p^2 +8p

36b-6

48n-36

30b-48

42n+6

12x+12

Step-by-step explanation:

I REALLY hope this helps, because the hardest part was trying to go back and forth looking at the question and answering for 20 times ;-;

How many digits you need to write all 3 digit numbers

Answers

Answer: 720

Step-by-step explanation: if what you want are all possible three digit numbers with no repetition of the digits then you have 10 choices for the first digit, you have 9 choices for the 2nd digit, and you have 8 choices for the 3rd digit giving you 10x9x8 = 720 in all.

The length of a rectangle is five inches less than twice its width. If the rectangle has a perimeter
of 80 inches, find the length and width.
I need 2 answers.

Answers

Answer:

Hi there!

Your answer is:

width=15

Length=25

Step-by-step explanation:

L=2w-5

P=80

Perimeter formula

L+L+W+W=P

(2w-5)+(2w-5)+w+w=80

6w-10=80

+10

6w=90

/6

w=15

Plug in width in length formula

L=2w-5

2(15)-5

30-5

L=25

I’ll mark Brainly! That is if you want it, I put a picture help me out please!

Answers

Answer:

a=-4 b=-2 c=-1 d=1 e=2

Step-by-step explanation:

The formula for finding the interest on a loan is I = prt. Jack borrows $2,000 for 2 years at a rate of 2%. How much interest will he owe?

Answers

9514 1404 393

Answer:

  $80

Step-by-step explanation:

You are given the principal amount (p=$2000), the annual interest rate (r=.02), and the time in years (t=2). Put the numbers in the formula and do the arithmetic.

  I = prt

  I = ($2000)(0.02)(2) = $80

Jack will owe $80 in interest.

Polly Brennan earns $10.62 per hour for playing guitar at Kaldi’s coffee shop. She works 15.5 hours a week. What is the musician’s straight time pay?

Answers

A calculator would be more helpful but.. 10.62x15.5= $164.61

Please Help?

Write 4-6 sentences describing how you can use the form of a quadratic equation to decide how it can most efficiently be solved. For each solution method (factoring, by inspection, taking a square root, completing the square, and the quadratic formula), formulate an equation that would be the most efficiently solved using that approach. Write a comprehensive solution process for each as though you are explaining it to a friend who is struggling with this topic.

I do not need 4-6 sentences, but just need main points so I can form my own sentences.

Answers

Answer:

See explanation

Step-by-step explanation:

The place to begin in attempting to solve a quadratic equation is to try to factorize it. If it can not be factorized, then look at the side of equation that contains the variable (x,b,m,n and so on). If that side is a perfect square, try to take square root of both sides.

Also, if the coefficient of the squared term in the equation is 1 and the coefficient of the middle term bearing the variable is an even number, then you can attempt to use completing the square method. Formula method can be adopted as a last resort.

x^2 -4x + 4 =0 can be solved by factorization

X(x-2) - 2(x-2) =0

Hence;

(x-2) (x-2) =0

x= 2 (twice)

(2x-2)^2 = 4 can be solved by taking square root

√[(2x-2)^2] = √4

2x-2 = 2

x= ±2

x^2 + 6x - 11 = 0 can be solved by completing the square

(x + 3)^2 = 11 + 3^2

(x + 3)^2 = 20 taking square root of both sides

x + 3 = ±√20

x + 3 = ±2√5

x= -3 ±2√5

2x^2 - x + 5 = 0 can be solved by formula method

Using

x= -b±√b^2 - 4ac/2a

a= 2, b = -1, c= 5

x= 1 ± √1 - 40/4

x= 1 ± √-39/4

x= 1 ± 39i/4

what is 12 1/2% as a fraction in simplest form

Answers

Answer:

25/2 I believe

Step-by-step explanation:

All shirts on the clearance rack are 60 percent off if one of the shirts is originally 29.95 how much does it cost

Answers

Answer:

11.89

Step-by-step explanation:

29.95-60%=11.89

Plz mark brainlist hope this helps!!!

Rebecca has 6 yards of ribbon. It takes 3/8 yard to wrap one package. How many packages can rebecca wrap

Answers

Answer:

She will have 8 pieces.

Step-by-step explanation:

PLEASE HELP ME WITH THIS QUESTION PLS!!

Answers

Answer:

Okays so John is going 50mph

50 is 1 hour

100 is 2 hours

150 is 3 hours

200 is 4 hours

250 is 5 hours

300 is 6 hours

350 is 7 hours

400 is 8 hours

450 is 9 hours

500 is 10 hours

550 is 11 hours

600 is 12 hours

650 is 13 hours

700 is 14 hours

750 is 15 hours

He will go 750 miles from his starting point in 15 hours

The answer is: 750 miles

I hope this helps you!

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