The bus fare in a city is $2.00. People who use the bus have the option of purchasing a monthly coupon book for $24.00. With the coupon​ book, the fare is reduced to $1.00. Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.
The bus must be used ? times.

Answers

Answer 1

Answer:

What fair

Step-by-step explanation:


Related Questions

Solve this equation. 3(x−9)>3x+6

Answers

Answer:

No solution

Step-by-step explanation:

There are no values of x that make the inequality true.

4. Isoke's salary in 2015 is $30 000 per year. Every year her salary
is increased by 5%.
In 2016 her salary will be
30 000 x 1.05 = $31 500
In 2017 her salary will be 30 000 x 1.05 X 1.05 = $33075
In 2018 her salary will be 30 000 x 1.05 x 1.05 x 1.05 = $34728.75
And so on.
a). What will her salary be in 2019?
b) What will her salary be in 2021?

Answers

Answer:

in 2019, $36 465.19

in 2021, $40 202.87

Step-by-step explanation:

2015 is $30 000 per year

if it is increased by 5% every year

then,

in 2019, her salary will be $30 000 x (1.05)^4 = $36 465.19

in 2021, her salary will be $30 000 x (1.05)^6 = $40 202.87

HELP GRAPH THE LINE THAT REPRESENTS THIS EQUATION

y +2 = 1/2(x +2)

Answers

Answer:

Step-by-step explanation:

Let f(x) = 3x + 7.

Find f '(x).

Answers

The inverse of f(x) is when you switch the position of the x's and y's (or f(x))

x=3y+7, and then isolate the y so you get a normal function

(x-7)/3

When considering order of operations (PEMDAS), addition will ALWAYS come before subtraction.

True
False

Answers

Parenthises

Exponent

Multiply

Divide

Add

Subtract

The answer is true because it comes before subtraction in the phrase PEMDAS.

Answer:

true

Step-by-step explanation:

please

excuse

my

dear

aunt

sally

aunt is the addition while sally is subtraction therefore it is true hope this helps!! :D

Find the area and perimeter of
the parallelogram:
17ft
12ft
15ft

Answers

Step-by-step explanation:

The area = base × height

= 12 × 17 = 204

the perimeter = 2(17 + 15) = 2 × 32 = 64

please give me a brainliest answer

Vickie was born on this day in 1981. Including leap years, how many seconds old is Vickie?

Answers

Answer:

Vickie is about 1,256,428,800 seconds old.

Step-by-step explanation:

1 year = about 31,536,000 seconds

2021 - 1981 = 40

39 × 31,536,000 = 1,229,904,000 (total 365-day years in seconds discluding this year)

____________________________________________

Now, add the leap days.

Since 1981, there has been 10 leap years, meaning 10 leap days.

1 leap day = about 86,400 seconds

86,400 × 10 = 864,000 (total leap day seconds)

____________________________________________

Today is 10/24/2021, so it is the 297th day of the year.

1 day = exactly 86,400 seconds

297 × 86,400 = 25,660,800 (total seconds this year)

____________________________________________

Add all values to get the total amount of seconds.

1,229,904,000 + 864,000 + 25,660,800 = 1,256,428,800 (total seconds of how old is Vickie)

Mike´s fitness center charges $30 per month for a membership. All-Day fitness club charges $22 per month plus an $80 initiation fee for a membership. After how many months will the total amount paid to the two fitness clubs be the same?

Answers

Answer:

10 months

Step-by-step explanation:

30x=22x+80

8x=80

x=10

Enola bought snacks for her team's practice. She bought a bag of oranges for $2.06 and a 3-pack of juice bottles. The total cost before tax was $5.06. Write and solve an equation which can be used to determine xx, how much each bottle of juice costs.

Answers

equation: 3x + 2.06 = 5.06

x = 1

Step-by-step explanation:

The cost of each bottle is $1.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Enola bought a bag of oranges for $2.06 and a 3-pack of juice bottles.

The total cost before tax was $5.06.

let the cost of one juice bottle be x.

So, the equation is

2.06 + 3x = 5.06

3x = 5.06 - 2.06

3x= 3

x= 1

Hence, the cost of each bottle is $1.

Learn more about equation here:

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Factor the Trinomial 6x^2 -23x +20
(And please show the work/steps.)

Answers

Step-by-step explanation:

6x²-23x+20

=>6x²-8x-15x+20

=>2x(3x-4)-5(3x-4)

=>(3x-4)(2x-5)

hope this helps you.

Step-by-step explanation:

the answer is in the image above

Find f(x) if it is known that f(x-2)=2x-4

Answers

Answer:

f=2

Step-by-step explanation:

f(x-2)=2x-4

divide x-2 to 2x-4

f=2

f(2-2)=4-4

Pls help me !!!!!! With question number one

1. Angelica is five years less than double Jaheim’s age . Jaheim is 14years old . How many years old is Angelica

Answers

Answer:

23

Step-by-step explanation:

14x2=28-5=23

Answer:

23

Step-by-step explanation:

add 14+14= 28-5=23

please help me .. thank you ​

Answers

Hello BinibiningDel!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

Fill in the blanks.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

The process of finding the factors of a polynomial is known as factoring.The factor that appears repeatedly in each term is known as the common factor.A trinomial is an algebraic expression with three terms.The constant term is definite in value.6mn - 9m = 3m (2n - 3). The greatest common factor is 3m.A polynomial doesn't have a fractional exponent.[tex]\boxed{\bold{\dfrac{y^{2} - 3y + 3}{5y}}}[/tex] is a polynomial.A rational algebraic expression comes in the form of p/q where p & q are polynomials.[tex]\boxed{\bold{\dfrac{y^{2} - 3y + 3}{5y}}}[/tex] is a rational algebraic expression.[tex]\boxed{\bold{\dfrac{3x}{x+4}}}[/tex] is the rational algebraic expression written in the simplest form.

__________________

Hope it'll help you!

ℓu¢αzz ッ

I need help with my math, please?

Answers

Answer:

Step-by-step explanation:

Correct=Brainlest Evaluate (-4-0.7-1)÷-4 Convert into a decimal​

Answers

Answer:(-4 - 0.7 - 1)÷-4 = 57/40 = 1 17/40 = 1.425

Spelled result in words is fifty-seven fortieths (or one and seventeen fortieths).

How do you solve fractions step by step?

   Conversion a decimal number to a fraction: 0.7 = 7/10 = 7/10

   a) Write down the decimal 0.7 divided by 1: 0.7 = 0.7/1

   b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

   0.7/1 = 7/10

   Note: 7/10 is called a decimal fraction.

   c) Simplify and reduce the fraction

   7/10 = 7 * 1/10 * 1 = 7 * 1/10 * 1

   Subtract: -4 - 0.7 = -4/1 - 7/10 = -4 · 10/1 · 10 - 7/10 = -40/10 - 7/10 = -40 - 7/10 = -47/10

   For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(1, 10) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 10 = 10. In the following intermediate step, the fraction result cannot be further simplified by canceling.

   In other words - minus four minus seven tenths = minus forty-seven tenths.

   Subtract: the result of step No. 2 - 1 = -47/10 - 1 = -47/10 - 1/1 = -47/10 - 1 · 10/1 · 10 = -47/10 - 10/10 = -47 - 10/10 = -57/10

   For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 1) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 1 = 10. In the following intermediate step, the fraction result cannot be further simplified by canceling.

   In other words - minus forty-seven tenths minus one = minus fifty-seven tenths.

   Divide: the result of step No. 3 : (-4) = -57/10 : (-4) = -57/10 · -1/4 = -57 · (-1)/10 · 4 = 57/40

   Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of -4/1 is 1/-4) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, the fraction result cannot be further simplified by canceling.

   In other words - minus fifty-seven tenths divided by minus four = fifty-seven fortieths.

Relationship B has a greater rate than Relationship A. This graph represents Relationship A.


Which equations could represent Relationship B?


Select each correct answer.



y = 0.6x


y=23x


y=14x


y=34x

First-quadrant graph showing a ray from the origin through the points begin ordered pair 4 comma 2 end ordered pair and begin ordered pair 8 comma 4 end ordered pair.

Answers

Answer:

y = 0.6x

Step-by-step explanation:

Look what happens as we move from point (4, 2) to point (8, 4).  The x coordinate increases by 4 and the y coordinate by 2.  Thus, the slope of the line representing Relationship A is m = rise / run = 2/4, or 0.5.

The only one of the four possible answers that could be correct is y = 0.6x, which has a greater rate (slope) than does the given line (m = 0.5).

Answer: 0.6

2/3

3/4

I took the test and got those as my answer. Btw here's the image for proof :)

Can someone help me with this?!

Answers

Answer:

1) measure angle T= 72, measure angle U=54

2)measure angle M=76, measure angle N=76

3)EF= 18 inches, measure angle F=134

4)measure angle P,Q,R= 60

Step-by-step explanation:

A human hair is approximately 40 microns (um) wide. If 1 um is equal to 10
-6
meters (m),
and 1 nanometer (nm) is equal to 10-9m, then how many nanometers wide is a human hair?
A
0.0004 nm
B
0.004 nm
C
4,000 nm
D
40,000 nm

Answers

Answer:

D 40,000nm

Step-by-step explanation: 1nm/10^-9m * 10^-6/1um = 10^3 nm/um

Therefore in 40 microns there are:

40um * 10^3 nm/um = 40 * 10^3 nm = 40,000 nm

The human hair is 40,000 nanometers wide.

Option D is the correct answer.

Given,

A human hair is approximately 40 microns (um) wide.

1 um is equal to [tex]10^{-6}[/tex] meters (m)

1 nanometer (nm) is equal to [tex]10^{-9}[/tex] m.

We need to find how many nanometers wide is human hair.

How do we add exponents?

We can add the exponents if we have the same base.

Example:

a² x a³ = [tex]a^{(2+3)}[/tex] = [tex]a^{5}[/tex]

[tex]a^{-2}[/tex] x [tex]a^{-3}[/tex] = [tex]a^{(-2 +( -3))}[/tex] = [tex]a^{-5}[/tex]

We have,

Human hair = 40 microns (um) wide.

And,

1 um = [tex]10^{-6}[/tex] m

1 nm = [tex]10^{-9}[/tex] m

[tex]10^{-9}[/tex] m = 1 nm

Multiplying by 10³ on both sides.

[tex]10^{-9}[/tex] x 10³ = 10³ nm

[tex]10^{(-9+3)}[/tex] = 10³ nm

[tex]10^{-6}[/tex] m = 10³ nm

1 um = [tex]10^{-6}[/tex]m

1 um = 10³ nm

Human hair = 40 um

1 um = 10³ nm

Multiplying 40 on both sides.

40 x 1 um = 40 x 10³ nm

40 um = 40 x 1000 nm

40 um = 40,000 nm

Thus human hair is 40,000 nanometers wide.

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which is the correct simplification:
giving brainliest

Answers

Answer:

The answer is letter E.........

Answer:

Step-by-step explanation:

Can the sides of a triangle have lengths 3, 3, and 9?​

Answers

Answer:

No, the sum of the lengths of ANY 2 sides must be greater than the lengths of this 3rd side.

Step-by-step explanation:

Sau một thời gian sử dụng, một tủ sách nghệ thuật đã có dấu hiệu bị xuống cấp và
cần sửa lại (xem hình vẽ). Các ngăn BC, DE và FG gỗ bị
mục và cần thay mới. Chủ nhà sách cần 3 miếng ván sao
cho khớp với các vị trí này. Em hãy giúp chủ nhà sách
tính toán chiều dài các miếng ván này sao cho khớp với
các vị trí cần thay thế. Biết ngăn HI=12 dm. Tính chiều
dài các ngăn BC;DE;FG

Answers

Answer:

Step-by-step explanation:

how do you find common multiples and factors explain

Answers

Answer:

We can find the common multiples of two or more numbers by listing the multiples of each number and then finding their common multiples. For example, to find the common multiples of 3 and 4, we list their multiples and then find their common multiples. Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, ...

expand and simplify (3x-1)(x-3)​

Answers

Following are simplifications to the given expression:

Given:

[tex]\bold{(3x-1)(x-3)}[/tex]

To find:

simplify=?

Solution:

[tex]\to \bold{(3x-1)(x-3)}\\\\\to \bold{(3x^2-9x-x+3)}\\\\\to \bold{(3x^2-10x+3)}\\\\[/tex]

Therefore, the final answer is "[tex]\bold{3x^2-10+3}[/tex]".

Learn more:

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What type of polynomial is P(x)=x3−1?
A. cubic
B. quintic
C. linear
D. quartic

Answers

Answer:

A.

Step-by-step explanation:

Cubic because the highest exponent is 3.

The classification of the polynomial P(x) = x^3−1 by degree is; Cubic. Hence, option A is correct.

What are polynomials forms?

Generally, polynomials take the form,

P(x) = ax^n + bx^(n-1) + cx^(n-2).... + z

where:

a, b....= arbitrary constants

x = variable

n = highest power of the variable in the polynomial

The given polynomial is P(x) = x^3−1

The classification of the polynomial P(x) = x^3−1 by degree is; Cubic.

Cubic function is one that has the highest exponent is 3.

Hence, option A is correct.

Read more about this concept;

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Write an equivalent expression for 6(3g + 2) - 2g. Simplify the expression.

Answers

Answer:

16g + 12

Step-by-step explanation:

6(3g + 2) - 2g

18g + 12 - 2g

16g + 12

Solve the following quadratic equation.
d²-5d+6=0

Answers

Answer:

[tex]d=2[/tex] and [tex]d=3[/tex]

Step-by-step explanation:

[tex]d^2-5d+6=0[/tex]

[tex](d-2)(d-3)=0[/tex]

[tex]d=2[/tex] and [tex]d=3[/tex]

answers: d=2 and d=3

At a movie theater, there were 7 kids
for every 2 adults. If kids tickets cost $5
and adult tickets cost $8, how much
money did the theater make if there
were 54 people in the theater?

Answers

There are 12 adults and 42 kids, which in total cost $306

Answer:

$306

Step-by-step explanation:

Adult cost = no of adult × adult cost

no of adult = 12

adult tickets cost = $8

= 12 x $8

= $96

kids cost = no of kids x kids tickets cost

no of kids = 42

kids tickets cost = $5

= 42 x $5

= $210

total sales for the theatre =$96 +$210

= $306

Your bedroom is 20 feet long by 12 feet wide. You are make a scale drawing of you bedroom with the scale 1⁄2 inch = 4 feet, what would the dimensions be?

Answers

Divide actual feet by scaled feet then multiply by scale inches:

20 feet / 4 = 5

5 x 1/2 = 2 1/2

12 feet / 4 = 3

3 x 1/2 = 1 1/2

Dimensions are 2 1/2 inches by 1 1/2 inches

In football, the path that a defender must run to tackle the ball carrier is called the path of pursuit. If the ball carrier runs 40 yards to the end zone and the path of pursuit is 45 yards, how far apart were the ball carrier and defender when they started? Answer with appropriate precision. (Hint: Use the Pythagorean Theorem.)

Answers

Answer:

Step-by-step explanation:

The ball carrier and defender were 20.62 ft apart

Let the path the ball carrier runs = x and y = path of pursuit and L = distance between defender and ball carrier when they started.

x, L and y form a right angled triangle with y being the hypotenuse side of the triangle.

From Pythagoras' theorem,

x² + L² = y²

So, L² = y² - x²

L = √(y² - x²)

Since x = 40 yards and y = 45 yards,

#substituting the values of the variables into the equation, we have

L = √(y² - x²)

L = √(45² - 40²)

L = √(2025 - 1600)

L = √425

L = 20.62 ft

So, the ball carrier and defender were 20.62 ft apart

Learn more about Pythagoras' theorem here:

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Is each number correctly expressed in scientific notation? Choose Yes or No.
Number Scientific Notation
4,836,000,000 4.836 × 106
Choose...
0.0000005812 5.812 × 10–7
Choose...
546,000,000,000 5.46 × 1011
Choose...

Answers

Answer:

NoYesYes

Step-by-step explanation:

The first one is incorrect because would be 4,836,000 instead of 4,836,000,000. The correct notion would be [tex]4.836*10^9[/tex]

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