A bicycle store costs ​$4200 per month to operate. The store pays an average of ​$55 per bike. The average selling price of each bicycle is ​$195. How many bicycles must the store sell each month to break​ even?

Answers

Answer 1

The store must sell 30 bicycles each month to break even.

To break even, the total revenue from selling bicycles must be equal to the total cost of operating the store. Let's calculate the revenue and cost of the store for selling x bicycles in a month.

Revenue from selling x bicycles = selling price per bike × number of bikes sold

= $195x

Cost of operating the store = fixed cost + variable cost

= $4200 + (cost per bike × number of bikes sold)

= $4200 + ($55x)

To break even, the revenue must equal the cost. So we can set up the linear equation equation:

$195x = $4200 + $55x

Solving for x, we get:

$140x = $4200

x = $4200 / $140

x = 30

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Related Questions

Mr. and Mrs. Barnes budget to spend $350 on a coat, shoes, and a television at a department store. The table shows how much Mr. and Mrs. Barnes would spend if they buy all the items.

Answers

Mr. and Mrs. Barnes would spend $414 if they buy all the items.

What are the types of representing data?

Data refers to the elements that make up persons, things, events, and ideas. It could be an integer, a title, or anycast. Data must be tabulated after collection in order to study their prominent characteristics.

The presentation of data is the name given to such a configuration.

Bar Chart, Histogram, Line Graph, Pie Chart, Frequency Distribution Table.

From the given table,

The cost of the coat is 55% of $180, which is,

= (55/100)×180.

= $99.

The cost of the shoe is (1/2) of $150 which is,

= $(150/2).

= $75.

The cost of the television is, $240.

Therefore,The total spending is, = $(99 + 75 + 240).

= $414.

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Complete the follow two column proof
(Best answer gets Brainly!)

Answers

The two column proof showing that ΔFHK ~ ΔGHJ is as detailed below.

How to write the two column proof?

A two-column proof is defined as a geometric proof that consists of a list of statements, and the reasons that we know those statements are true.

Statement 1: FG/FH = KJ/KH

Reason 1: Ratio of similar sides of a triangle

Statement 2: ∠H ≅ ∠H

Reason 2: Reflexive Property of Congruence

Statement 3: ΔFHK ~ ΔGHJ

Reason 3: SAS Similarity Theorem

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During lunch, Dasia drinks 2 3/4 cups of milk. Taniya drinks 1 1/6 cups of milk, Calixte drinks 8/8 cups of milk. How much milk do the 3 students drink?

Answers

The amount of milk the 3 students drink is 4 11/12 cups of milk

How much milk do the 3 students drink?

From the question, we have the following parameters that can be used in our computation:

Dasia = 2 3/4

Taniya = 1 1/6

Calixte = 8/8

The amount of milk the 3 students drink is calculated as

Total = 2 3/4 + 1 1/6 + 8/8

Evaluate the sum

Total = 4 11/12

Hence, the total is 4 11/12 cups of milk

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f c(x) = 4x – 2 and d(x) = x2 + 5x, what is (c circle d) (x)?

Answers

Answer:

[tex]16x^2-24x+9[/tex]

Step-by-step explanation:

To find (c circle d)(x), we need to first find d(c(x)) and then simplify.

First, we need to find c(x) and substitute it into d(x), as follows:

d(c(x)) = d(4x - 2) = (4x - 2)^2 + 5(4x - 2)

Expanding the square and simplifying, we get:

d(c(x)) = 16x^2 - 24x + 9

Now, we have (c circle d)(x) = d(c(x)) = 16x^2 - 24x + 9.

True or false : A pure monopoly involves a very large number of firms producing a single unique product.

Answers

The solution is, a single firm producing a product for which there are no close substitutes.

What is pure monopoly ?

A pure monopoly has been characterized mostly as individual manufacturer sellers, i.e., 100 percent of the market share. Throughout the UK, a corporation can be considered and has monopolistic control if someone has a market penetration of further above 25 percent.

here, we have,

A pure monopoly is a single supplier having a market or industry i.e. defined.

The firm should be considered as an industry also in this there is no competitor or any subsitution existed.

It can be arise at the time when the market share of the one firm is more than 90%

So as per the given situation, the above represent the answer

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How do you do 3 + 4?

Answers

7

We can solve it by using a fractional part of a component of your body known as brain... which you might not have considering you asked such an high end mathematical question... This can be solved using the concept of Addition...

It’s 7 let’s add together 3 4 5 6 7

100 POINTS AND BRAINLIEST

Answers

Answer:0.67<1(top part)

3x - y < 1

3/3       1/3=0.33...

0.33..-y  < 1

-0.33=0     1-0.33..=0.67<1

i only know the top art sorry

Answer:

its 0.67

Step-by-step explanation:

Suppose two bicyclists start at the same location.
The first bicyclist rides due south and the other rides due east. Find the speed that each bicyclist rode in miles per hour if they are 12√2 miles apart after riding for 1.5 hours at the same speed.

Answers

Answer:

8 Mph

Step-by-step explanation:

We can solve this problem by using the Pythagorean theorem, which relates the lengths of the sides of a right triangle. Let's call the speed of the first bicyclist "v1" and the speed of the second bicyclist "v2". After 1.5 hours of riding, the first bicyclist has traveled 1.5v1 miles to the south, and the second bicyclist has traveled 1.5v2 miles to the east. The distance between them is the hypotenuse of a right triangle with legs of length 1.5v1 and 1.5v2:

c^2 = (1.5v1)^2 + (1.5v2)^2

where c is the distance between the two bicyclists, which is given as 12√2 miles. Substituting and simplifying, we get:

(12√2)^2 = (1.5v1)^2 + (1.5v2)^2

288 = 2.25v1^2 + 2.25v2^2

128 = v1^2 + v2^2

We also know that the two bicyclists are traveling at the same speed, so v1 = v2. Substituting this into the equation above, we get:

128 = 2v1^2

v1^2 = 64

v1 = √64 = 8

Therefore, each bicyclist is traveling at a speed of 8 miles per hour.

Refer to the image attached.

A chord which passes through the centre is called · A. radius · B. diameter · C. arc · D. none

Answers

Answer:

It would be a diameter

Step-by-step explanation:

The diameter is also a chord.

A tessellation is a ____ pattern that completely covers a plane with no gaps or overlaps.


Proportional
Repeating
Reflection
Transformation

Answers

Answer:

Repeating

Step-by-step explanation:

A Tessellation is when you cover a surface with a pattern of flat shapes, so there are no gaps. So, the answer is Repeating.

12. When 3a2-7a+6 is subtracted from 4a²-3a +4, the result is
(1) a² +4a-2
(2) a²-10a-2
(3)-a²-4a+2
(4) 7a²-10a+10

Answers

Answer:

(1) a² +4a-2

Step-by-step explanation:

[tex]4a^2-3a\:+4\:-\:\left(3a^2-7a+6\right)\\\\= 4a^2-3a\:+4\:- 3a^2 + 7a -6[/tex]    

Grouping like terms
[tex](4a^2 -3a^2) +(-3a + 7a) +(4 - 6)\\\\= a^2 +4a - 2[/tex]

Helpppppp


It’s about finding the missing angle it’s easy but I forgot how too

Answers

Angle number 2, represents measures the ∠SXU.

What is a transversal?

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

Given, Are three lines RS, TU, and VW and TU intersects RS and VW at

X and Y respectively.

We know when we write an ∠ABC we measure the angle of 'B'.

Given, An ∠SXU, in which we are measuring the angle of X with respect to S and U.

Therefore, 2 is the number that represents ∠SXU.

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Find the volume of the composite solid below. Round to the nearest tenth.
a

310.7 inches cubed

b

315 inches cubed

c

320.7 inches cubed

d

204.1 cubic inches

Answers

The volume of the composite solid is 320.7 cubic inches.

What is a composite solid?

A composite solid is a three-dimensional object that is created by combining or "composing" two or simpler three-dimensional shapes, such as prisms, cylinders, pyramids, cones, or spheres. The combined shape may be more complicated or asymmetrical than the sum of its parts, yet it may still be measured and examined using the same geometrical rules and formulas. Cones with a frustum or truncated bases, pyramids with rectangular or triangular bases, and structures created by fusing together cylinders, prisms, or spheres are a few examples of composite solids. In order to build and create complicated structures and objects, composite solids are frequently utilized in architecture, engineering, and manufacturing.

To find the volume of the composite solid, we need to find the volumes of each of its components and add them together.

The volume of a hemisphere with a radius of 5 inches is given by:

V_hemisphere = [tex]\frac{2}{3}\pi r^{3}[/tex] = [tex]\frac{2}{3}\pi 5^{3}[/tex] = 523.6 cubic inches

Since there are two hemispheres, the total volume of the hemispheres is:

V_total_hemispheres = 2V_hemisphere = 2(523.6) = 1047.2 cubic inches

The cylinder has a radius of 5 inches and a length of 13 inches. The volume of a cylinder is given by:

V_cylinder = [tex]\pi r^2h[/tex] = [tex]\pi 5^2(13)[/tex] = 1025.0 cubic inches

The total volume of the composite solid is:

V_total = V_total_hemispheres + V_cylinder = 1047.2 + 1025.0 = 2072.2 cubic inches

Rounding to the nearest tenth, we get:

V_total ≈ 320.7 cubic inches

Therefore, the answer is option (c) 320.7 cubic inches.

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write the solution set of the given homogeneous system in parametric vector form.3x1+3x2+6x3=0−6x1−6x2−12x3=0 −4x2+4x3=0where the solution set is x =[x1 x2 x3]

Answers

The solution set of the system of equations in this problem is defined as follows:

[-3x3 x3 x3]

How to solve the system of equations?

The system of equations for this problem is defined as follows:

3x1+3x2+6x3=0.−6x1−6x2−12x3=0.−4x2+4x3=0.

From the third equation, we write x2 as a function of x3, as follows:

4x2 = 4x3

x2 = x3.

Replacing into the first equation, we can write x1 as a function of x3, hence:

3x1+3x2+6x3=0.

3x1 + 3x3 + 6x3=0.

3x1 = -9x3

x1 = -3x3.

Hence the vector solution of the system is given as follows:

[-3x3 x3 x3]

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Federico makes 60% of the free throw shots he takes in basketball. Federico is fouled, and he is in a one-and-one shooting situation meaning that he only gets a second free throw shot if he makes his first one. Each free throw shot is worth one point. What is the probability that Federico scores one point in this situation?

Answers

Based on the question given, the probability that Federico scores one point in this situation is 0.24, or 24%

Calculating the Probability of Scoring One Point in a One-and-One Free Throw Situation in Basketball

Since Federico makes 60% of his free throws, the probability that he makes his first free throw is 0.6. If he makes his first free throw, he will get a second free throw, and the probability that he makes his second free throw is also 0.6.

If he misses his first free throw, he will not get a second free throw, and he will score zero points in this situation.

So, to find the probability that Federico scores one point in this situation, we need to find the probability that he makes his first free throw and misses his second free throw:

P(score 1 point) = P(makes 1st free throw) * P(misses 2nd free throw)

= 0.6 * (1 - 0.6) [since the probability of missing a free throw is 1 minus the probability of making it]

= 0.6 * 0.4

= 0.24

Therefore, the probability that Federico scores one point in this situation is 0.24, or 24%

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How to convert 100 ml to l?

Answers

The conversion of the milliliters to liters the value of 100 milliliters is equal to ( 0.1 ) liters .

Converting milliliters to liters we have ,

Milliliters and liters are the units which is required to measure volume    of the liquid .

1 liters is equal to 1000 milliliters

⇒ 1000 milliliters = 1 liters

⇒ 1 milliliters = ( 1 / 1000 ) liters

⇒ 100 milliliters = ( 100 / 1000 ) liters

⇒ 100 milliliters = ( 1 / 10 ) liters

⇒ 100 milliliters = ( 0.1 ) liters

Therefore, the value of the converting the 100 milliliters to liters is equal to  ( 0.1 ) liters .

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what is the secant in trigonometry?

Answers

Secant can be defined as the reciprocal of cosine. Secant of angle A will be hypotenuse/adjacent.

There are three basic trigonometric ratios. Sin, Cos and Tan.

Sin = opposite side/ hypotenuse

Cos = adjacent side/ hypotenuse

Tan = opposite side/ adjacent side

Here in the give image, Sin(A) = a/c

                                        Cos(A) = b/c

                                        Tan(A) = a/b

There are reciprocals for each trigonometric functions

Cosecant is the reciprocal of sine. Cosec(A) = c/a

Secant is the reciprocal of  Cosine. Sec(A) = c/b

Cotangent is the reciprocal of Tangent . Cot(A) = b/a

So secant is one of inverse trigonometric functions.

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Triangle FGH is similar to triangle ABC.
Solve for x.

Answers

Answer:

PLEASE MARK BRAINLIEST.

Step-by-step explanation:

Notice how the triangle's side lengths are scaled up by a factor of 2. This means that FH*2=x. Solving for x, we get that x=6*2= 12 units.

Please i need help i dont fully understand it
(05.01)
A scale drawing of a living room is shown below. The scale is 1 : 40.

A rectangle is shown. The length of the rectangle is labeled 6 inches. The width of the rectangle is labeled 4 inches.
Show your work to determine the area of the room in square feet. (5 points)

Answers

Answer:  267 square feet

This value is approximate. The more accurate answer is roughly 266.66667 square feet but even this value is approximate as well.

========================================================

Explanation:

The scale of 1:40 means 1 inch on paper corresponds to 40 inches in real life. This type of notation is typically found on maps in the bottom corner.

What we'll do is multiply by 40 to go from the measurement on paper to the measurement in real life.

6 inches on paper gives 6*40 = 240 inches in real life. Divide by 12 to convert from inches to feet: 240/12 = 20. The room is 20 feet in length.4 inches on paper gives 4*40 = 160 inches in real life. This converts to 160/12 = 13.333 feet roughly, which is the approximate width of the room.

In short,

6 inches on paper ---> 20 feet in real life4 inches on paper ---> 13.333 feet in real life (approximate)

From here we multiply the length and width to get the area.

area = length*width

= 20*13.333

= 266.66 which rounds to about 267 square feet.

Feel free to round to some other level of precision. I'm rounding to the nearest square foot because that's the typical precision when it comes to listing sizes of houses and apartments.

six upright dominos of increasing height are lined up to be knocked down.The dominos sre numbered 0 to 5.The smallest domino number 0 is 5.00 cm tall and will be toppled by a person to start the chain reaction.Each subsequent domino 13% taller than the one before what is the height of domino number 5?

Answers

Answer:

Approximately 9.23 cm

Step-by-step explanation:

We can start by finding the height of each domino in the chain, starting with domino 0, which is 5.00 cm tall.

Let h be the height of domino 5. Then we can express the height of each domino in terms of h as follows:

Domino 0: 5.00 cm

Domino 1: 1.13 * 5.00 = 5.65 cm

Domino 2: 1.13 * 5.65 = 6.38 cm

Domino 3: 1.13 * 6.38 = 7.21 cm

Domino 4: 1.13 * 7.21 = 8.16 cm

Domino 5: 1.13 * 8.16 = h cm

Since we know that domino 5 is the tallest domino and is number 5 in the sequence, we can set the height of domino 5 equal to h and solve for h:

h = 1.13 * 8.16

h ≈ 9.23 cm

Therefore, the height of domino 5 is approximately 9.23 cm.

A cheetah ran 196 meters in 8 seconds. How long will it take for the cheetah to run 147 meters?

Answers

Answer:

Step-by-step explanation

1.   196:8=147:x

2. you multiply the outisde numbers with  the inner numbers

196*x=147*8

196x=1176

then find x

x=1176/196

x=6seconds

   

Answer:

We can use the ratio of distance to time for the cheetah's first run to find how long it will take to run 147 meters.

The speed of the cheetah is given by:

Speed = distance/time

In the first run, the cheetah ran 196 meters in 8 seconds, so its speed was:

Speed = 196/8 = 24.5 meters per second

To find out how long it will take for the cheetah to run 147 meters, we can use the speed we just calculated and the distance we want to find:

Speed = distance/time

24.5 = 147/time

Solving for time:

time = 147/24.5

time = 6 seconds

Therefore, it will take the cheetah 6 seconds to run 147 meters.

If i had 1 apple and another apple how many apples would i have?

Answers

Answer:

Two

Step-by-step explanation:

It's just- 1+1

Answer: 1 + 1 = 2

Step-by-step explanation:

8 6 4 2 ... next three integers

Answers

0,-2,-4 if it's declining
8, 6, 4, 2, 0, -2, -4

you need to subtract 2

Nora bought a motorcycle for $12,000. One year later, she looked online and found that the value of her motorcycle had decreased to about $10,560. Based on this online research, she expects the motorcycle to continue decreasing in value each year.

Answers

Answer:y=12000(0.88)^x

$6,330

Step-by-step explanation: I got it wrong and saw the answer

Please help integrate Cos^3 x + ( tan^2 5x - Sec 2x )/7 x

Answers

Answer:

Step-by-step explanation:

A particle is moving along a coordinate axis such that its position is defined as s(t) = t3 − 5t2 − 8t where t ≥ 0. When is the particle speeding up?

Answers

The particle is speeding up after 1.67 seconds.

What is displacement ?

In physics, displacement refers to the distance and direction of an object's change in position from its starting point to its ending point. It is a vector quantity, which means that it has both magnitude and direction.

Displacement is different from distance, which is the total length of the path an object has traveled, regardless of direction. Displacement only considers the straight-line distance and direction between the starting and ending points.

According to given conditions :

To determine when the particle is speeding up, we need to find the acceleration of the particle.

The acceleration of the particle is given by the second derivative of its position function:

a(t) = s''(t) = 6t - 10

The particle is speeding up when its acceleration is positive. So, we need to find the values of t for which a(t) > 0.

Setting a(t) > 0, we have:

6t - 10 > 0

6t > 10

t > 10/6

t > 1.67

Since t ≥ 0, the particle is speeding up when t > 1.67.

Therefore, the particle is speeding up after 1.67 seconds.

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ok so write about the chapter 1- 12 travellers question and answer

Answers

where's the question tho

Answer:

without question how am i suppsed to answer..............

PLEASE HELP ME!
Question in image. Thank you huh

Answers

The end behavior of the polynomial is defined by:

NEG/EVENas x goes to ∞, f(x) goes to -∞as x goes to -∞, f(x) goes to -∞How to identify the end behavior of the polynomial?

Here we want to find the end behavior of a polynomial, to do it, we need to look at the degree and the sign of the leading coefficient.

Remember that the degree is the largest exponent of the polynomial.

Here we can see that the degree is 12 (on the fourth term), so it is even.

And the leading coefficient (the coefficient in the term with the largest exponent) is -10, so it is negative.

Then the first correct option is:

NEG/EVEN

Even means that both ends tend to the same value, and in this case, a negative leading coefficient means that both ends tend to negative infinity, then:

as x goes to ∞, f(x) goes to -∞as x goes to -∞, f(x) goes to -∞

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Need help with this work sheet

Answers

1) Note that it can be concluded that Rishi is not doing well with his budget. The actual overshot the by 5%. See attached Spreadsheet.

2) If the driver who hit Rishi does not have Insurance and neither does Rishi (according to the budget) then Rish will have to save up for a new car because he didn't include the cost of insurance in his budget.

What is a budget and why is it important?

A budget is a financial plan that outlines expected income and expenses for a specific period, typically a month or a year.

It helps individuals and organizations to manage their finances by ensuring that they do not spend more money than they earn, and that they allocate their funds in a way that aligns with their goals and priorities.

A budget is important because it enables people to make informed financial decisions, avoid debt, and save money for future expenses.

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What is 5/9 as a percent?.l

Answers

5/9 as a percent is 55.56%
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