The bus fare in a city is 1.75 . People who use the bus have the option of purchasing a monthly coupon book for . With the coupon​ book, the fare is reduced to 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. g

Answers

Answer 1

Answer:

26 times

Step-by-step explanation:

Given

Without Coupon

[tex]Rate = 1.75[/tex] per trip

With Coupon

[tex]Coupon = 26[/tex]

[tex]Rate = 0.75[/tex] per trip

Required

The number of trips to be taken for both option (i.e. with or without coupon) to be equal

See comment for complete question

Let the number of trips in a month be x.

Without Coupon

Total amount is:

[tex]Total = Rate * x[/tex]

[tex]Total = 1.75x[/tex]

Without Coupon

Total amount is:

[tex]Total = Coupon + Rate * x[/tex]

[tex]Total = 26 + 0.75x[/tex]

To get x, we simply equate both options

[tex]1.75x = 26 + 0.75x[/tex]

Collect like terms

[tex]-0.75x + 1.75x = 26[/tex]

[tex]x = 26[/tex]


Related Questions

HELP HELP

13. A floor plan for a house uses a scale in which 1 inch represents 3 feet. The kitchen in the house is 10.5 feet wide. On the plan, the kitchen is

14. An architect is building a model of an apartment building that will be 186 meters tall. The architect uses a scale in which 1 centimeter represents 4 meters . The model will be

Answers

Answer:

13. 3.5

14. 21.5

Step-by-step explanation:

For each one, divide the real size by what 1 unit measures. For the first question, the real size is 10.5 and 1 unit (in this case an inch) represents 3 feet. So do 10.5/3 to get the number of inches uses to represent the total width. 10.5/3 = 3.5

For the second one, the real size is 186 meters. And 1 unit (this time it's a centimeter) represents 4 meters. So do 186/4 and you get 21.5, which is the number of centimeters used to represent the total height.

Write the first five terms of the arithmetic sequence.
Please show work. Scam answers will be reported.

Answers

Answer:

Step-by-step explanation:

HELP ASAP I WILL MARK BRAINLIEST!!!
Find the surface area of the sphere.
r=3 cm
Formulas for Spheres
S.A. = 41r2
V=far S.A. = [?] cm2
Round to the nearest tenth.

Answers

Answer: 113.0cm²

Step-by-step explanation:

The surface area if a square is calculated as:

= 4πr²

where, radius = 3cm

Surface area = 4πr²

= 4 × 3.14 × 3²

= 4 × 3.14 × 9

= 113.04

= 113.0cm²

Therefore, the surface area is 113.0cm²

Please help me please

Answers

…………………………………………..,……
the answe is the second one I think

PLEASE HELP! GIVING 20 POINTS


do to the problem

find the surface area of this prism

Answers

Answer:

The surface area is 23

Step-by-step explanation:

Good Luck!

Answer:

A=2(wl+hl+hw)=2·(8·10+5·10+5·8)=340

Step-by-step explanation:

Write an equation in slope-intercept form for the line perpendicular to y = -2x + 5 and containing the point (8,-3)

Answers

slope-intercept form of an equation for the line perpendicular to y = -2x + 5 is

y = 1/2x -7

What is perpendicular line?

The straight line that makes 90 degrees angle with a given line is called the perpendicular to the first line. The indicator of a line perpendicular to other line is the slope that is negative reciprocal to each other.

What is the equation of line perpendicular to the given line?

we know the slope intercept form of an equation of line is y = mx + b

m is the slope of line and b is the y intercept.

given, equation of a line, y = -2x+5

the slope m = -2 and y intercept, b = 5

we need to write an equation in slope-intercept form that perpendicular to the above line and containing the point (8, -3)

The required line of equation will have a slope equal to the negative reciprocal of the given slope.

hence, the slope will be m = 1/2

the equation of straight line will be y = 1/2x + b

as the line passes through the points (8, -3)

so, -3 = 1/2 × 8 + b

   b = -7

y intercept of the new equation = -7

the new equation of line is y = 1/2x -7

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If x = 5, then which inequality is true

Answers

Answer:

G

Step-by-step explanation:

Plug X into the inequality.

(5) - 2 < 7 is true

Hope this helps! :)

Answer: G) x-2<7

Step-by-step explanation:

x=5

5-2<7

3<7

three is less than 7.

Ed is on a road trip. He has already traveled 212 miles and is driving at a rate of 65 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 675 total miles?

Answers

675/65 10.385
675-212 463
463/65 7.123
So about 7 hours left

Math is a valuable skill for many workers at their jobs. List two specific examples where math is used in the workplace.

Answers

Answer:

1. A simple cashier working at a supermarket

2. Doctors/medical professionals

Step-by-step explanation:

Although usually simple the cashiers must be able to do basic math to be able to give the correct amount of change to the customer

Medical professionals are constantly converting measurements in the workplace needing math to help with their cases

Answer:

1. Doctors regularly analyze numbers, make computations and employ statistics or to find the success rate of treatments. Math skills also are important when analyzing X-rays and CAT scans.

2. Electrical engineers use math in many ways in their career. They use math to help design and test electrical equipment. They use math to calculate amp and volt requirements for electrical projects. They use math in creating computer simulations and designs for new products.

Step-by-step explanation:

And math teaches other important practices, including how to approach tasks methodically, pay attention to detail, and think abstractly. Science, technology, and engineering disciplines, for example, rely heavily on mathematics.

hazar is having 4 friends over to play video games. Each person will spend $6 on game rental and $4 on drinks and snacks, Write two expressions for the total cost for hazar and his friends

Answers

Answer: Here are two possible expressions for the total cost for Hazar and his friends:

The first expression is to add the cost of game rental and drinks and snacks for all the four friends

6x + 4x =10x where x is the number of friends

Second expression is to calculate the cost for each of the 4 friends and then add it together

(6 + 4) * 4 = 40

Both the expressions represent the same outcome, that is the total cost of $40 for Hazar and his friends to play video games.

It's depend on how you want to represent it, both are correct and represents the same outcome.

Step-by-step explanation:

right angle
The sum of yo and 50° is a right
find the value of yo. [4]
then​

Answers

Answer:

The angle yo measures 40º.

Step-by-step explanation:

Given that the sum of yo and 50 ° is a right angle, to find the value of yo the following calculation must be performed, knowing that a right angle measures 90 °:

50 + yo = 90

yo = 90 - 50

yo = 40

Therefore, the angle yo measures 40º.

Luz has 2 red, 2 white, and 3 blue marbles in a cup. If she draws two marbles at random and does not replace the first
one, find the probability of a white marble and then a blue marble.

Answers

Answer:

The probability of white marble is 2/ 7

The probability of blue marble = 3/7

Step-by-steThe prop explanation:

10. Enter a fraction to 0.93. Use only whole numbers for numerators and denominators.

Answers

Answer:

93/100

Step-by-step explanation:

Answer:

93/100

Step-by-step explanation:

Erica drove 200 miles and Steve drove 212.0 kilometers. Who drove
farther? (1km = 0.62 mile)

Answers

Answer:

212×0.62=131.44 so Erica drove farther.

Answer:

The answer is Erica drove farther.

Step-by-step explanation:

212 kilometers is 131 miles and Erica drove 200 miles so Erica drove further.

solve for 30 points and brainliest
7³(8)÷3(2)-1800.3 repeating

Answers

Answer:

29.033333

Step-by-step explanation:

Answer: -1342.966 repeating

Step-by-step explanation: Pemdas≈7^3(8)/6-1800.3=(343)(4)/(3)-1800.3=457.333-1800.3=1342.96

A company that manufactures cell phones has been given a quarterly operating budget of $951,615.00. The company's quarterly
operating cost consists of two costs: an overhead fixed cost and the manufacturing cost of each cell phone. The company knows
that the overhead fixed cost per quarter is $225,378.00, and the cost to manufacture each cell phone is $58.90.
If the company's quarterly operating costs cannot exceed the quarterly budget, then what is the maximum number of cell phones
that they can manufacture during the quarter?
OA. 19,983
OB
8,504
C. 4,677
OD.
12,330

Answers

Answer: D. 12,330 phones

Step-by-step explanation:

First remove the fixed cost from the operating budget so that the variable cost that can be spent on each phone is known in total:

= 951,615 - 225,378

= $726,237

With each phone costing $58.90, the total number of phones that can be produced is therefore:

= Variable budget / Variable cost per phone

= 726,237 / 58.90

= 12,330 phones

i will give Brainiest if you are right

Answers

Answer:

D. $69,160

Step-by-step explanation:

40,820(10) - 33,904(10) = 408,200 - 339,040 = 69,160

please hurry need done asap

Answers

Answer:

Last option is the correct answer

[tex] y=\frac{72}{x} [/tex]

Step-by-step explanation:

When x = 36

[tex] \implies y=\frac{72}{36} = 2[/tex]

When x = 18

[tex] \implies y=\frac{72}{18} = 4[/tex]

When x = 8

[tex] \implies y=\frac{72}{8} = 9[/tex]

When x = 6

[tex] \implies y=\frac{72}{6} = 12[/tex]

What's the pattern of 1, 2, 4, 5, 7, 8, 10

Answers

Answer:

skipping by 3's

Step-by-step explanation:

Answer:

first term +1

second term +2

+1

+2

+1

+2

and so on

Step-by-step explanation:

What is the factored form. Help doing test rn!!!

Answers

Answer:

(y^3-2)(x^2-2)

Step-by-step explanation:

x^2y^3-2y^3 can be factored. This will be equal to y^3(x^2-2). Then for the other half it will be equal to -2(x^2-2). Because the insides are the same, the equation is the outside two number y^3 and -2 added together time the inside number x^2-2. This will make the expression (y^3-2)(x^2-2).

If this helps please mark as brainliest

HELP ASAP !!!!!!!!!!!

Triangle ABC has side lengths AB = 3, BC = 4 and CA = 5, and angle measures ∠A = 53, ∠B = 90, and ∠C = 37. Triangle DEF has side lengths DE = 9, EF = 12and FD = 15, and angle measures ∠D = 53, ∠E = 90, and ∠F = 37. Is △ABC similar to △DEF? Explain.

Answers

Step-by-step explanation:

yes, the two triangles are right angled triangles

As part of a study on pulse rates, a random sample of 10 study participants had their pulse rate taken and asked to sit quietly for 5 minutes. At the end of 5 minutes, their pulse rates were taken again. The mean difference between the two pulse rates for the 10 participants is -1.2 beats per minute with standard deviation of 2.97. Researchers are interested in estimating the mean difference in pulse rates before and after the 5 minute waiting period for the population of study participants. Calculate the 90% confidence interval for the mean difference in pulse rates for the population of study participants. Use t*

Answers

Answer:

The 90% confidence interval for the mean difference in pulse rates for the population of study participants is between -2.9 beats per minute and 0.5 beats per minute.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.8331

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.8331\frac{2.97}{\sqrt{10}} = 1.7[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is -1.2 - 1.7 = -2.9 beats per minute

The upper end of the interval is the sample mean added to M. So it is -1.2 + 1.7 = 0.5 beats per minute.

The 90% confidence interval for the mean difference in pulse rates for the population of study participants is between -2.9 beats per minute and 0.5 beats per minute.

Without doing any calculations, compare Expression A to Expression B. ( 34 + 25 ) ÷ 1 4 34 + 25 Which statement is true? A. Expression A is 2 times as great as expression B. B. Expression B is 4 times as great as expression A. C. Expression A is 4 times as great as expression B. D. The two expressions are equal to each other. PLZZZZ HELP ME ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C.Expression A is 4 times as great as expression B.

Step-by-step explanation:

Given - Without doing any calculations, compare Expression A to Expression B.

A. (34+25) ÷ 1/4

B. 34+25

To find - Which statement is true?

A. Expression A is 2 times as great as expression B.

B.Expression B is 4 times as great as expression A.

C.Expression A is 4 times as great as expression B.

D. The two expressions are equal to each other.

Solution -

The correct answer is - C. Expression A is 4 times as great as expression B.

Reason -

Given that ,

Expression A is -

( 34 + 25 ) ÷ 1 /4

It can also write it as -

4(34 + 25)

And

Expression B given as -

34 + 25

So,

We can clearly see that,

Expression A is 4 times Expression B.

So,

Option C is correct.

Can y’all help me on question 6?!

Answers

Answer:

B is the answer- positive y and negative x

Rashaad has
x
x dimes and
y
y nickels, having no less than 18 coins worth at most $1.50 combined. At least 4 of the coins are dimes. Solve this system of inequalities graphically and determine one possible solution.

Answers

Answer:

see attached for a graph4 dimes, 22 nickels

Step-by-step explanation:

You want to solve graphically the system of inequalities expressing that Rashaad has no less than a total of 18 dimes (x) and nickels (y) with a combined value of at most $1.50, of which at least 4 are dimes.

Inequalities

An inequality can be written for each of the constraints:

  x + y ≥ 18 . . . . . . . no less than 18 coins

  0.10x +0.05y ≤ 1.50 . . . . . . at most $1.50 in value

  x ≥ 4 . . . . . . . . . . at least 4 dimes

Graph

A graph of these inequalities is attached. The marked points are the vertices of the triangular solution space. Each is a possible solution, along with all of the grid points inside the triangle.

One possible solution is 4 dimes and 22 nickels, for a total of 26 coins with a value of $1.50.

Using graph to solve the system of linear inequality the most likely solutions will be 4 dimes and 22 nickels, for a total of 26 coins with a value of $1.50

What is System of Linear Inequality

Systems of linear inequalities are equations with two or more linear inequalities that contain two or more variables. These equations can be used to represent real-world problems and to find the solutions of such problems. The solutions of a system of linear inequalities are all the points that are common to all of the linear inequalities in the system.

In this problem, we have to define our variables and then solve this using graphical method. The point of intersection between the two lines lies the solution to the linear inequality.

Let;

x = dimesy = nickel

x + y ≥ 18

0.1x + 0.05y ≤ 1.50

x ≥4

Using a graphing calculator to solve this,

The possible solutions is 4 dimes and 22 nickels, for a total of 26 coins with a value of $1.50.

Learn system of linear inequality here;

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A sprinkler is designed to water a circular area that has a radius of 7 feet. The sprinkler is located at (0,0) on a lawn. A flowerbed is planted 3 feet east and 6 feet south of the sprinkler.

Determine if the distance from the flowerbed to the sprinkler places the flowerbed on or within the circular area that this sprinkler can water.

No. The flowerbed is 18 feet away from the sprinkler, which is more than the 7-foot radius.
Yes. The flowerbed is exactly 7 feet away from the sprinkler.
No. The flowerbed is 9 feet away from the sprinkler, which is more than the 7-foot radius.
Yes. The flowerbed is √45 feet away from the sprinkler, which is less than the 7-foot radius.

Answers

Yes. The flowerbed is √45 feet away from the sprinkler, which is less than the 7-foot radius.

Given that,

A circular area that has a radius of 7 feet.The sprinkler is located at (0,0) on a lawn.A flowerbed is planted 3 feet east and 6 feet south of the sprinkler.

Based on the above information, the calculation is as follows:

[tex]= \sqrt(3^2 + 6^2) \\\\= \sqrt45[/tex]

= 6.7m

Therefore the above statement should be considered true.

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Answer:

It should be D

Step-by-step explanation:

What does the variable s equal in this equation?
S-10 = 31

Answers

Answer:

s = 41

Step-by-step explanation:

[tex]s - 10 = 31[/tex]

Add 10 to both the sides in order to isolate the variable 's'.

[tex]=> s - 10 + 10 = 31 + 10[/tex]

[tex]=> s = 41[/tex]

How much is the monthly amortization on an automobile loan of ₱ 900,000 to be amortized over a 5-year period at a rate 9.5% compounded monthly?

Answers

The monthly amortization on the automobile loan, given the loan amount, the period, and the compounding frequency, is ₱ 18, 901.68

How to find the amortization ?

The monthly amortization is constant so it will be an annuity. Seeing as we have the loan amount, this means that the present value of an annuity formula can be used to find the monthly amortization.

First, find the period in months:

= 5 x 12 months a year

= 60 months

The interest in months :

= 9 . 5 % / 12 months per year

= 9.5 / 12 %

The monthly amortization is:

= Loan amount / ( Present value interest factor of annuity, 60 periods, 9.5 / 12 %)

= 900, 000 / 47.614827336156

= ₱ 18, 901.68

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Please help! 10 points

Answers

Answer:

1 real soultion

Step-by-step explanation:

For
a
x
2
+
b
x
+
c
=
0
, the values of
x
which are the solutions to the equation are given by:
x
=

b
±

b
2

4
a
c
2
a
Substituting
9
for
a
;
6
for
b
and
1
for
c
gives:
x
=

6
±

6
2

(
4

9

1
)
2

9
x
=

6
±

36

36
2

9
x
=

6
±

0
2

9
x
=

6
±
0
2

9
x
=

6
18
x
=

1
3

In a class of 55 students, 15 students liked Maths but not English and 18 students liked English but
not Maths. If 5 students did not like both, how many students liked both subjects?​

Answers

Answer:

17

Step-by-step explanation:

The number of students that liked one more than the other or didn't like either is 15 + 18 + 5, which is 38. The rest of the students in the class liked both subjects. 55 - 38 = 17.

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