Kenny and Ben start competing businesses selling hats. Kenny buys supplies, costing $3, before he starts selling his
hats for $0.50 each.
Ben sells his hats for $0.25 each and spent only $1 on supplies. At
what point have they sold the same number of hats and made the
same profit (income minus costs)?
Write your answer as a coordinate point (hats, profit). HELP PLZ WHAT ARE THE EQUATIONS??

Answers

Answer 1

9514 1404 393

Answer:

  (8, 1)

Step-by-step explanation:

Let x represent the number of hats sold by each seller.

__

Kenny's cost: $3

Kenny's revenue: $0.50x

Kenny's profit = revenue - cost: y = 0.50x -3

__

Ben's cost: $1

Ben's revenue: $0.25x

Ben's profit = revenue - cost: y = 0.25x -1

__

The profit and sales will be the same when the same (x, y) values satisfy both profit equations.

  y = 0.50x -3

  y = 0.25x -1

  0.50x -3 = 0.25x -1 . . . . . substitute for y

  0.25x = 2 . . . . . . . . . . . add 3-0.25x

  x = 8 . . . . . . . . . . multiply by 4

  y = 0.25x -1 = 2 -1 = 1 . . . using Ben's profit equation

The profit and sales will be the same for ...

  (hats, profit) = (8, 1)


Related Questions

1. Josh is reading a book that contains 100 pages. If he reads 1/3 of the book in 1/6 of an hour, how many pages per hour does Josh read?​

Answers

100/3=33.33.... 1/6= 10 mins 33.33....*6= 199.98

hope this helped you out!!

How many tenths and how many hundreds are represented in 65/100?

(by the way this is about decimals)

What is the decimal form for 65/100?

Please explain the answers

Answers

Answer:

There are 60 tenths and 5 hundreths

the decimal form is 0.65

Step-by-step explanation:

What is r?

r = one-third
r = 3
r = two-thirds
r = one-half

Answers

Answer:

what is the equation.

Step-by-step explanation:

comment the equation

Answer:

r = r

 -incomplete

Step-by-step explanation:

since there is no equation or no limitations along with the question, i cannot say what r can be, if there is an equation or additional info I can better tell you, but rn, r literally is equal to all of those answers

Dana bought 144 pencils for $8.64.which equation could be used to determine the cost of each pencil,x?
A.144/8.64=x
B.x/144=8.64
C.8.64-x=144
D.144x=8.64​

Answers

Answer:

144x=8.64

This way you can divide by 144 to find how much each individual pencil costs

PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.

Answers

Answer:

OPS and TSP,

QPS and PSR

Step-by-step explanation:

The alternate interior angles look like the picture provided below. Next time, don't clickbait with the wrong amount of points.

QPS is included but isn't one of the answers because they it's not a multiple choice question.

I need help with this I will mark you

Answers

Answer: A

Step-by-step explanation:

Answer: A or 46.50

Step By-Step Explanation:

Ms. jones wants to take her students for all of her classes on a field trip to see a Broadway production. There are three shows to choose from. She wants to determine which show students would like to see. which sample would be the most appropriate for this survey?

A: Every fifth student that enters her classroom

B: Her Honors class

C: 5 boys in each of her class

D: At the end of the day, ask teachers what they think student will like

Answers

Answer:

A

Step-by-step explanation:

Because it is a random sample

The green arcs show a pair of SAME SIDE INTERIOR ANGLES.

Drag the two black points to show another pair.

Same side interior angles are:
Always congruent
Sometimes congruent
Never congruent
Explain your thinking.

Answers

It would be purple and green

Will give Brainliest!
2x2(69.4 x 2)

Answers

Answer:

555.2

Step-by-step explanation:

A popcorn cup is in the shape of a cone. The slant height of the cone is 9 inches, and the diameter is 6.2 inches. What is the volume of the cone? Use pi equals 3.14. help

Answers

Answer:

V = 262.61 m³

Step-by-step explanation:

Given: Slant height of the cone is 9 inches, the diameter is 6.2 inches.  

To find: Volume of the cone

Formula: The formula for the volume of a cone is V = 1/3hπr².  

Solve: The base area of the cone. π defines the ratio of any circle's circumference to its diameter and is approximately equal to 3.141593, however, the value 3.14 is often used.

V = π × r² × h / 3

π × r²

V = 262.610935 m³

In the nearest tenths, the volume of the cone is V = 262.61 m²

15 people working 5 hours per day can make 30 units of a product in 10 days. Assuming all other factors remaining
constant and people of same efficiency are used to make the same products, in how many days can 10 people
make 10 units of the product if each of them works 10 hours per day?
SELECT ONLY ONE
2.5 days
7.5 days
12 days
26 days

Answers

The required number of days is 2.5 days

First, we need to calculate the amount of units generated per day.

If 15 people working 5 hours per day can make 30 units of a product in 10 days, then the amount of units per day is calculated as:

Units per day = (15*5*10)/30

Units per day = 750/30

Units per day = 25 units/day

If people of the same efficiency are used to make the same products, the number of days needed by 10 people to make 10 units of the product if each of them works 10 hours per day will be;

Number of days = (25*10)/10*10

Number of days = 250/100

Number of days = 2.5 days

Hence the required number of days is 2.5 days

Learn more on proportions here: https://brainly.com/question/19994681

Please answer correctly math problemo #4

Answers

Answer:

4/3 or 1 + 1/3

Step-by-step explanation:

To divide fractions, we take the reciprocal of the second fraction and multiply that by the first. The reciprocal of 1/2 is 2. 2 multiplied by 2/3 is 4/3, which can also be represented as 1 and 1/3

Find the value of x. Round to the
nearest tenth.

Answers

Answer 20

Step by Step: None

yo can someone pls help me with this i’ve been crying for the last hour bc i can’t figure it out and it’s due in 30 minutes. the question is “find the area and perimeter to this composite figure”. i will give you the most brainly if you answer and solve. thank you <3

Answers

9514 1404 393

Answer:

area: 524 cm²perimeter: 124.8 cm

Step-by-step explanation:

The rectangle in the middle has a width equal to the radius of the semicircular ends, so (20 cm)/2 = 10 cm.

The semicircular ends, together, make a complete circle of radius 10 cm.

The area is the sum of the areas of the parts:

  A = LW = (21 cm)(10 cm) = 210 cm² . . . . . . rectangle area

  A = πr² = π(10 cm)² = 100π cm² ≈ 314 cm² . . . . . circle area

The total area is ...

  210 cm² +314 cm² = 524 cm² . . . . area of the figure

__

The perimeter of the figure is the sum of the lengths of all of the edges. From the left, working clockwise, we have ...

  P = (1/2 circle of diameter 20) + (rectangle top = 21) +(1/2 circle of diameter 20) +(circle radius = 10) +(rectangle bottom = 21) +(circle radius = 10)

The two 1/2 circles add to a whole circle with a circumference of ...

  C = πd = (3.14)(20 cm) = 62.8 cm

Then the whole perimeter is ...

  P = 62.8 cm + 21 cm + 10 cm + 21 cm + 10 cm = 124.8 cm

_____

Note that we have used 3.14 for pi. If you use a more exact value, your answers will be slightly different.

Convert: 11,000 feet = miles and feet​

Answers

2.08 miles hope this helpsss
2.08 miles is the convention of 11,000 feet.

At the close of one business day, TNT stock was trading at $40 per share. At the close of the next business day, the stock was trading at $43 per share. Find the percent of increase

Answers

Find the increase amount:

43-40 = 3

Divide increase amount by starting value:

3/40 = 0.075

Multiply by 100:

0.075 x 100 = 7.5% increase

Erin has a rope that is 3 yards long.
Into how many pieces can she cut the rope if each piece is 1/4 yard long?

Answers

Answer:

12 pieces

Step-by-step explanation:

3/0.25 = 12 pieces

Answer:

12 pieces

Step-by-step explanation:

3/.25=12

Answer the question in the picture plz

Answers

A number raised to a fraction would be the same as a root to the inverse of the fraction.

What that means is the sqrt(8) raised to 1/4 is the same as being 4th root of 8.

So rewriting the given equation you would have cubic root 8 x 4th root 8

Combine the roots by multiplying: 3 x 4 = 12

The equivalent equation would be C. 12 root 8 ^ x

What's the circumference of a
circle with a diameter of 18 inches?
Use 3.14 for n.
C = [?] inches

Answers

Answer:

56.55 inches

Step-by-step explanation:

You buy a new backpack that costs $62.00. The sales tax is 6.5%. What is the total amount you need to pay, including tax? ​

Answers

Answer:

$66.03 in total.

Step-by-step explanation:

$66.03 because 6.5% is 0.065 and $62.00 times 0.065 equals $4.03. $62.00 plus $4.03 is $66.03.

investing $27,000 in an account paying 7.25% interest compounded quarterly.
What will Jamie's account balance be in 14 years?

Answers

investing $27,000 in an account paying 7.25% interest compounded quarterly.

What will Jamie's account balance be in 14 years?

Answer:

$74,495.30

Jamie's account balance will be $73,828.74 after 14 years.

What is Compound Interest?

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Here, Principal = $27,000

         Rate of interest = 7.25% compounded quarterly

                                    = 0.0725/4 = 0.018125 per annum

         Time = 14 years or 56 quarters

Now, A = P(1+i)ⁿ

        A = 27000(1+0.018125)⁵⁶

        A = 27000 X 2.7343

        A = 73828.74

Thus, Jamie's account balance will be $73,828.74 after 14 years.

Learn more about Compound Interest from:

https://brainly.com/question/14295570

#SPJ2

state whether the following statements are true or false mathematics.
[tex] \geqslant[/tex]

Answers

Answer:

Statements? Your question is incomplete.

Bro which statements?

(i) sin²θ + cos²θ =
(ii) 1 + tan²θ =
(iii) 1 + cot² θ =
(iv) Sin 2 θ = ​

Answers

Answer:

(i) sin²θ + cos²θ = 1

(ii) 1 + tan²θ = sec²θ

(iii) 1 + cot²θ = cosec²θ

(iv) Sin 2θ = 2 Sinθ cosθ

-TheUnknownScientist

Step-by-step explanation:

(1) = 1

(2) = sec²θ

(3) = cosec² θ

(4) = 2 Sin θ cos

Consider a taxi station where taxis and customers arrive in accordance with Poisson processes with respective rates of one and three per minute. A taxi will wait no matter how many other taxis are present. However, an arriving customer that does not find a taxi waiting leaves. Find the proportion of arriving customers that get taxis.

Answers

Answer:

The proportion of arriving customers that get taxis is:

= 33%.

Step-by-step explanation:

Rate of arrival of taxis = 1 per minute

In one hour, the number of taxis arriving = 60 (60/1)

Rate of arrival of customers = 3 per minute

In one hour, the number of customers arriving = 180 (60 * 3)

The proportion of arriving customers that get taxis = 60/180

= 0.333

= 33%

b) Since the taxis wait until they get a customer, it means that they will likely transport one out of 3 customers who arrive.  Therefore, the proportion of arriving customers that get taxis is equal to 1/3 or 60/180, which is equal to 33%.

Plesse help me:) ive been stuck on this for a while

Answers

Answer:

4th number line (the one of the bottom right)

Step-by-step explanation:

First, solve the inequality, then choose the number line that mathes the solution.

3x ≤ -6

Only step: Divide by 3.

x ≤ -6/3

x ≤ -2

But which number line matches the solution?

We know this is going left, so #1 & #3 are out. This also has a closed circle (because of ≤ (less than/equal to)), so #2 is also out.

Number line #4 matches the solution (x ≤ -2), so it is the answer.

7,485 divived by 6 equals

Answers

1247.5

Hope this helps :T

I WILL MARK BRAINLIEST IF CORRECT! Look at the image below.

Answers

Answer:

C 1/10 × 33

D 0.1 × 33

Hope that helps

Select the expression that represents the following statement: 3 times one fourth the difference of 26 and 10. (4 points)

one fourth x (26 + 10) x 3
one fourth x (26 − 10) x 3
3 x one fourth x 26 − 10
3 x one fourth x 26 x 10

Answers

C I had this question‼️

Answer:

C

Step-by-step explanation:

I got it correct on a test

THIS IS DUE IN AN HOUR PLS HELP !

Answers

Answer:

27

Step-by-step explanation:

Answer:

22°

Step-by-step explanation:

<1 is a secant-secant angle (it lies outside the circle, created by two lines that cut through the circle). The measure of a secant-secant angle is half the difference of the measures of the intercepted arcs:

<1=(0.5)(98-54)

<1=(0.5)(44)

<1=22°

helppppppppppppppppppp

Answers

Answer:

X =64

Step-by-step explanation:

X = 64 mark as brainiliest thanks
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