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

each face of a cube is a square with a side length of 7 inches what is the total area off all the faces of the cube

Answers

Answer: 294 square inches

Explanation:
A = L*W
In a square, all side lengths are equal.
A = 7*7
A = 49 square inches
^^^this is the area of one face of the cube

A cube has six faces, so multiply that value by 6.
49 * 6 = 294 square inches

Least common multiple of 168 and 76

Answers

Answer:

Best to draw out a factor tree.

Answer:

3192

this is the answer but if you need to show work then I can't help ya bud

someone please solve this for me i swear i will give you a brainliest i really need help on this

Answers

Answer:

1) Yes, it is rational.

2) Yes, it is rational.

3) There are three repeating digits.

Step-by-step explanation:

Lets solve them in order.

1) First lets see what the characteristics of a rational number are. We know that, to be a rational number, a number must either:

Can be expressed as a fractionRepeatAre integersAnd terminate

An irrational number is a number that never repeats or ends. They are also not integers, but we will focus on the never repeats or ends part.

So, lets look at it. Does 0.147 repeat, terminate, be expressed as a fraction, and is it an integer? Well, its not an integer, it doesn't repeat, and it isn't a fraction. However, it does terminate, which means it is rational.

2) Is 0.147 repeating a rational or irrational number. Remember, we need to see if it terminates, repeats, is an integer, or is a fraction. Well, it doesn't terminate, it is not a fraction, and it is not an integer. However, it does repeat. That means that it is a rational number.

3) Now, to figure out how many repeating digits there are. In math, we know that the line above the numbers in the decimal place means that they repeat. So simply find out how many digits are below that line. Well, we see that 1, 4, and 7 are under the line. In total that is three digits. So the answer is 3.

An elevator was at floor24. It was down 6 floors, up 10 floors, and then down 8 floors. At what floor did it stop?

Answers

The elevator is on floor 20.

24 - 6 = Floor 18
18 + 10 = Floor 28

28 - 8 = Floor 20

If f(1) = 160 and

f(n)=1/2f(n-1) what is f(5)?

Answers

Answer:

10

Step-by-step explanation:

[tex]f(n) = \frac{160}{ {2}^{(n - 1)} } [/tex]

Answer:

This is 10

f(5) = 5f

100 points and brainleist to whoever gets these right

Answers

Answer:

the answer is 8 that is

4/1/2

4÷1/2

4×2/1=

8

Answer:

#14/(1/2) = 4*2 = 8#2(12.034) + 5/8 = 12.034 + 0.625 = 12.659#3(2/3)/(1/6) = (2/3)*6 = 4#4(3.406) + 3 4/7 = 3.406 + 3.571 = 6.977 (4/7 is rounded to the nearest thousandths)#53/5             = Rational0                = Whole & Integer & Rational -25/5 = -5  = Whole & Integer & Rational

PLZ HELP
which relation is a function?​

Answers

Answer:

The Bottom one

Step-by-step explanation:

The Line cant pass thru it twice. I think, if not sorry.

Rose :)

Unless there is a fourth option, which there probably is and if there is then the 4th option is correct.
All three graphs in the picture above are NOT functions because they do not pass the vertical line test :)

Amy is training for a half marathon. in practice, she runs 2 miles in 15 minutes. If she continues at the same rate, how many miles will she run in 1 hour?

A. 4
B. 8
C. 16
D. 30

Answers

Step-by-step explanation:

B. 8

she will run for 8 miles,

step

find Amy's speed

convert the minutes into hours by dividing by 60

[tex] \frac{2}{15 \times \frac{1}{60} } \\ = 8 \: miles \: per \: hour[/tex]

find the number of miles ran by multiplying the speed by the time, ie

[tex]8 \times 1 = 8 \\ \: therefore \: the \: answer \: is \: \: 8 \: miles[/tex]

Andrew and Kate have $30 to spend on dinner, tax, and gratuity at Mo's Restaurant, Tax is 0%, and they will give a 15%
tip on the total bill after taxes. Their dinner costs $21.00. Which statement correctly explains whether Andrew and Kate
have enough money to pay their bill?
Yes. They have enough to pay their bill: $30x1.08 - 131 80 and $31 80x1.15 - $38.57,
Yes. They have enough to pay their bill: $21x1.08 - $22 28 and $22.28x1 Why 625,80),
No. They do not have enough to pay their bill: 130 x 1.08 - 531 80 and $31 80x115 -- $38 57,
No. They do not have enough to pay their bill: $21x 108 - $22.28 and $22.28 x 1.15 - $25 60.

Answers

Answer:

If the cost of dinner is less then the money that the Andrew and Kate have then we can say Andrew and Kate have enough money to pay their bill. answer should be "b".

Step-by-step explanation:

Answer: its B.)

Step-by-step explanation:

Please help me as soon as possible!

Answers

Answer:

9.53 AU

Step-by-step explanation:

One positive number is 5 times another number. The difference between the two numbers is 1464, find the numbers.

Answers

Answer:

The answer is 292.8

Step-by-step explanation:

You just have to divided 1464 by 5

Which of the following statements are true based upon the given I I information

Answers

The one that you have selected it makes more sense ngl.

Help me please please ..........

Answers

Answer:

D

do you rlly need an explanation?

Answer:

b-16/25

Step-by-step explanation:

cause 0.64 would be 64/100 but I can be simplified down to 32/50 but that also could be simplified down to 16/25 which would be your answer because it can not be simplified any more

Hector took out a small loan of $900 for 18 months. The simple interest rate on the loan was 10.5%. How much will he pay in interest on the loan?

Answers

Answer:

The answer would be $1.89 in interest.

Step-by-step explanation:

First, change 10.5% into a decimal. To do this, you divide 10.5÷100. This equals 0.105

next, you multiply 0.105 with 12 (12 months in a year)

This equals 1.26

But, Hector still has 6 months left he has to pay for.

So, one way you can do this is divide 1.26 by 2, which equals 0.63.

THEN, you add 0.63 with 1.26, giving you the answer, 1.89

So, the answer for this equation would be 1.89.

What is a general rule for simplifying expressions like x^a .x^b? where does this rule
comes from

Answers

So, x^a*x^b would simplify to x^(a+b)

As for the proof of this,
Given that addition, subtraction, multiplication, and division are already known and don’t need to be proved, we know:

x^a = x*x*x… (a times)
x^b = x*x*x… (b times)

If we were to multiply these two expressions together, we’d simply get:

x^a*x^b = x*x*x… (a+b times)

And thus, that is why

x^a*x^b = x^(a+b)

Find the solutions to the following equation.
0 =(x-6)(x+4)

Answers

Answer:

x=6,−4

Step-by-step explanation:

1 Switch sides.

(x-6)(x+4)=0  

2 Solve for xx.

x=6,-4

Answer:

2−2−24

Step-by-step explanation:

4) f(m)= 4(m + 2) – 3

Answers

Answer:

STEP

1

:

Equation at the end of step 1

fm - (4 • (m + 2) - 3) = 0

STEP

2

:

Equation at the end of step 2

fm - 4m - 5 = 0

ANSWER QUICK PLEASE!
Which of the following is NOT an expression?
A. 3x + 4 = 7
B. 6 - i/5
C. x + 8
D. 2x - 3

Answers

Answer:

A. 3x + 4 = 7

Step-by-step explanation:

Expressions do not have an equal sign.

Hopefully this helps!

Brainliest please?

The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 point

Answers

(g + 4) – 3g = 1 + g

can someone help me?

G=?

Which is steeper & why?
A ramp with a rise of 2ft and a run of 6ft
OR
A ramp with a rise of 1ft and a run of 4ft

Answers

A ramp with a rise of 1 ft and a run of 4ft

Directions: Use the information in the charts to answer the questions. Type of Fruit Cost Estimated Cost apple $1.75/pound W 8.75 orange $2.35/pound 9.40 banana $1.50/pound 4.50 Annie bought 5 pounds of apples, 4 pounds of oranges, and three pounds of bananas. Part a. Round the prices to the nearest whole dollar to estimate how much money she spent. Part b. How much money did Annie actually spend? Write a numerical expression to represent the amount of money that Annie spent. Was your estimation an overestimation or underestimation? Why do you think that might be?​

Answers

Answer:

For part B

Step-by-step explanation:

($1.75*5 pounds of apples)+($2.35*4 pounds of oranges)+($1.50*3 pounds of bananas) = $8.75+$9.40+$4.50 = $22.65

Overestimation

Answer:. the estimate would be 52 dollars

the actual number would be 48.25 dollars

(1.75*5)+(8.75*4)+(1.50*3)=48.25

(2*5)+(9*4)+(2*3)=52

it was an over estimate

when working with Money you round up so you make sure you are not short on change or something along the lines of that, hopes this helps:) tell me if you need a further explanation

Choose the sentence that is equivalent to the following statement:
Among any two consecutive positive integers, there is at least one integer that is not prime.
a. If x and y are positive integers, then x is not prime and y is not prime.
b. If x and y are positive integers, then x is not prime or y is not prime.
c. If x is a positive integer, then x is not prime and x 1 is not prime.
d. If x is a positive integer, then x is not prime or x 1 is not prime.

Answers

Answer:

bbbbbbbb

Step-by-step explanation:

bbbbbbbbb;bbbbbbbvvvbbbbb;vvvvvvvvvvvvvv

Please help me help please help

Answers

Answer:

-2

Step-by-step explanation:

2/(-1) = -2

rise is 2

run is -1 ( to the left)

Simplify (23)-2
- -13
2
ОО
O 64
DONE

Answers

9514 1404 393

Answer:

  (b)  (correct choice is marked)

Step-by-step explanation:

The expression can be evaluated according to the Order of Operations and the rules of exponents.

  (2^3)^-2 = 8^-2 = 1/8^2 = 1/64

__

The applicable rule of exponents is ...

  a^-b = 1/a^b

Answer:

The correct answer choice is option b. 1/64

Step-by-step explanation:

(2^3)^-2

= 2^3(^-2)

= 2^-6

= 1/2^6

= 1/64

A batting machine uses an automatic baseball feeder. During baseball
practice the feeder is a full. An attendant fills it with 15 baseballs so
that the feeder is now full. How many baseballs does the feeder
hold when full?
A. Write an equation to represent the problem.

Answers

The feeders in battling machine are represented in proportions and fractions.

The equation that represents the problem is: [tex]\mathbf{\frac 16x + 15 = \frac 23x}[/tex]The feeder can hold 30 baseballs, when full

The given parameters are:

[tex]\mathbf{Initial = \frac 16x}[/tex] ------ 1/6 full

[tex]\mathbf{Additional = 15}[/tex] --- baseballs added

[tex]\mathbf{Final = \frac 23x}[/tex] ---- 2/3 full

So, the equation that represents the problem is:

[tex]\mathbf{Initial + Additional = Final}[/tex]

So, we have:

[tex]\mathbf{\frac 16x + 15 = \frac 23x}[/tex]

The number of baseballs it can hold is calculated as follows:

[tex]\mathbf{\frac 16x + 15 = \frac 23x}[/tex]

Multiply through by 6

[tex]\mathbf{x + 90 = 4x}[/tex]

Collect like terms

[tex]\mathbf{4x - x = 90 }[/tex]

[tex]\mathbf{3x = 90 }[/tex]

Divide through by 3

[tex]\mathbf{x = 30 }[/tex]

Hence, the feeder can hold 30 baseballs, when full

Read more about proportions and fractions at:

https://brainly.com/question/20337104

I need help with this

Answers

Answer:

ul and lw

Step-by-step explanation:

it is very easy answer there is no need of explanation for this answer

Please answer this !!

Answers

Answer:

t=5

f=13

Step-by-step explanation:

1. What is the greatest common factor of 16, 24, 40? *
1 point
A. 4
B. 8
C. 9
D. 12
2. Which of these sets is the common factors of 36 and 42? *
1 point
A. 1, 2, 3
B. 1, 4, 6
C. 1, 3, 6
D. 1, 2, 6
3. What is the GCF of 32, 48, 64? *
1 point
A. 8
B. 12
C. 16
D.. 18
4. Calixto was asked to find the GCF of 42 and 49. What number did he find?
1 point
A. 4
B. 5
C. 6
D. 7
5. Sixty notebooks, 48 ball pens and 36 correction tapes are shared among a number of grade 5 pupils such that each gets an equal number of each kind. How many pupils will get an equal number of each kind.
1 point
A. 5
B. 10
C. 12
D. 15
6. What is the first 4 multiples of 9? *
1 point
A. 5,7,9,12
B. 9,17,20,29
C. 9,18,27,36
D. 9,10,19,29
7. What are the common multiple of 3,4 and 6? *
1 point
A. 12,24,30
B. 12,24,32
C. 12,24,36
D. 12,24,42
8. Which of the following is the LCM of 8, 12 and 20? *
1 point
A. 120
B. 220
C. 260
D. 280
9. The LCM of 18, 24 and 36 is 60. *
1 point
A. True
B. False
C. Maybe
D. I'm not sure
10. The School Canteen serves chicken and barbecue every 5 days and vegetable lumpia every 4 days. On which days are both dishes served? *
1 point
A. every 16th day
B. every 20th day
C. every 25th day
D. every 40th day

Answers

Answer:

1. B

2. C

3. A

4. D

5. C

6. C

7. A

8. A

9. B

10. B

Step-by-step explanation:

Answer:

the answer is 4

Step-by-step explanation:

Which is the best description of the data in the
histogram?
O Students mostly studied about 6 hours.
O Students who studied longer did better on the test.
O Students' study times did not vary by much.
O The majority of students studied between 4 and 8
hours.

Answers

Which is the best description of the data in the

histogram?

O Students mostly studied about 6 hours.

O Students who studied longer did better on the test.

O Students' study times did not vary by much.

O The majority of students studied between 4 and 8

hours.

Answer:  D

Step-by-step explanation:

EDGE22

Which graph best represents the solution to the system of equations shown below? y = -4x + 19 y = 2x + 1 A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 7, 3. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 3, 7. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, negative 7. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 7, negative 3.

Answers

Answer:

Option 3 is the correct answer.

A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, negative 7.

Step-by-step explanation:

y = -4x - 19 y = 2x − 1

-4x - 19 = 2x - 1

6x = -18

x = -3

y = 2(-3) - 1 = -7

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