Soccer ball profit
y=-6x^2 + 100x - 180
Suppose the store wants to earn a daily profit of $150 from the sale of soccer balls. To earn this profit, what price should the store charge for each soccer ball? Explain how to solve this problem.

Answers

Answer 1

Answer:

$8.33 per soccer ball.

Step-by-step explanation:

Y max is =236.67   is the max profit from the soccer balls. This goes on when you charge 8.33 a ball

Answer 2

Answer:

need to solve the equation 150 = -6x2 + 100x - 180. I can subtract 150 from both sides and use the quadratic formula to find x = 4.53 and 12.13. This means that if the store sells soccer balls for $4.53 or $12.13, it will earn a daily profit of $150.


Related Questions

If I add 8.0g of sugar to a cup of tea, and have 2 cups of tea in the morning, how much sugar will I have consumed from drinking tea?

Answers

Answer:

16 grams

Step-by-step explanation:

multiply 8.0 grams x 2 cups.

Answer: 16 grams

Step-by-step explanation: 8.0 times 2 is 16. So you drank 16 grams of sugar in 2 cups of tea

Which expression represents the prime factorization of 450? A. 2 x 3 x 5 x 5 B. 2 x 2 x 5 x 5 C. 2 x 3 x 3 x 5 x 5 D. 2 x 2 x 3 x 5 x 5

Answers

Answer:

c

Step-by-step explanation:

The prime factorization of 450 is 2 × 3 × 3 × 5 × 5. Written with exponents, the answer is 2 × 32 × 52.

It expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5. The correct answer is option C.

What is Prime Factorization?

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

The given number is as follows:

450

We need to write 450 as the product of its prime factors, which is 450.

⇒ 450 = 2 x 3 x 3 x 5 x 5

Hence, it expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5.

Therefore, the correct answer is option C.

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If one kilogram equals 2.2 pounds how many kilograms equal 112 pounds

Answers

About 50.8 kilograms is equal to 112 pounds.

Answer & Step-by-step explanation:

Assuming that there is a constant rate of change, we can use the equation:

[tex]y=kx[/tex]

k is the constant rate of change. Set up an equation in which the pounds are determined by the rate of change between kilograms and pounds:

[tex]1=k(2.2)[/tex]

Isolate the variable k:

[tex]\frac{1}{2.2}=\frac{k(2.2)}{2.2}\\\\\frac{1}{2.2}=k[/tex]

Set up another equation like so:

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

Insert values:

[tex]\frac{1}{2.2}=\frac{y}{112}[/tex]

Solve for y. Cross multiply:

[tex]1(112)=2.2y\\\\112=2.2y[/tex]

Isolate the variable. Divide both sides by 2.2:

[tex]\frac{112}{2.2}=\frac{2.2y}{2.2} \\\\ y=50.9090...[/tex]

So, there are about 50.9 kilograms in 112 pounds.

:Done

Sally is having a party and she has invited nine of her friends.
She is going to make a special non-alcoholic fruit punch for them all
to drink. Sally wants to make enough fruit punch for herself
and all her friends to have one glass each.
Sallys Fruit Punch Recipe.
The recipe below makes enough
fruit punch for 1 person.

1/2 lime
1/2 lemon
100ml pineapple juice 200ml lemonade 100ml orange juice
1) How much of each ingredient will she need?

Limes
Lemons Pineapple juice Lemonade Orange juice
Cost of ingredients:
Pineapple Juice
Lemons 50 each
Limes 40c each
Lemonade (2 liter bottle) $1.60
Orange juice (1 liter carton) 80c
Pineapoe juice (1 liter carton) 90c

Answers

Answer:

1) 5 limes, 5 lemons, 1,000 mL of pineapple juice, 2,000 mL of lemonade, 1,000 of orange juice

2) Limes = $2, Lemons = $2.5, Lemonade = $1.60, Orange Juice = 80c, Pineapple Juice = 90c

Step-by-step explanation:

1/2 limes · 10 = 5

1/2 lemons · 10 = 5

100 mL of pineapple juice · 10 = 1,000 mL

200 mL of lemonade · 10 = 2,000 mL

100 mL of orange juice · 10 = 1,000 mL

Cost:

5 limes · 0.4 = $2

5 lemons · 0.5 = $2.5

mL to L

1,000 mL of pineapple juice = 1 L, this costs 90¢

2,000 mL of lemonade = 2 L, this costs $1.60

1,000 mL of orange juice = 1 L, this costs 80¢

Overall:

5 limes for $2

5 lemons for $2.5

1 L of of pineapple juice for 90¢

2 L of lemonade for $1.60

1 L of orange juice for 80¢

Pablo has saved $40 to buy a Nintendo switch that costs $310.
If he can save $15 each week
, how many weeks will it take Pablo
to save enough to buy the Nintendo Switch?
A. What is the problem about?
B. What is the problem asking you
find?
C. Solve the problem and explain how you get your answer.
to

Answers

Answer:

18 weeks

Step-by-step explanation:  

Part A:

The problem is about Pablo saving up money to buy a nintendo switch.

Part B:

The problem is asking you how many weeks it will take to have enough money for the Nintendo switch.

Part C

Equation: 40 + 15w = 310

310 - 40 = 270

270/15 = 18

18 weeks

Hopefully this helps you :)

pls mark brainlest ;)


Given point (-6, -2) and a slope of 5, write an equation in slope-intercept form.

Answers

Answer:

y = 5x + 28

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 5 , thus

y = 5x + c ← is the partial equation

To find c substitute (- 6, - 2) into the partial equation

- 2 = - 30 + c ⇒ c = - 2 + 30 = 28

y = 5x + 28 ← equation of line

A. Calculate the circumference of each circle described. Use | [ 3.14 and
round to the nearest hundredth.
1. The diameter of a circle is 6 centimeters.

Answers

Answer:

18.84cm

Step-by-step explanation:

C=πd

C=3.14×6

C=18.84cm

Can someone please answer the two questions circled :>

Answers

Answer:

For question 2 the slope is 1. So what you do is get the points you need to put on the graph and move them up one. Like how you did on question 1.

(0.5, 5) (1, 10) (1.5, 15) (2, 20) (2.5, 25)

Question 3 is the same thing but the slope is now 2. Then you would have to pin the points as...

(1, 2) (2, 4) (3, 6) (4, 8) (5, 10)

Hope this helped :)

is the product of a positive number and a negative number a positive ​

Answers

Answer:

Hey there!

False. The product of a positive number and a negative number is always NEGATIVE.

Let me know if this helps :)

Answer:

FALSE

Step-by-step explanation:

When you multiply a negative number by a positive number then the product is always negative. When you multiply two negative numbers or two positive numbers then the product is always positive.

Find the solution to the equation or inequality below. You must type in the entire solution, for example x=5 if it is an equation or x>5 if it is an inequality.

5x - 9 = 26

Answers

5x - 9 = 26
5x - 9 + 9 = 26 + 9
5x = 35
5x/5 = 35/5
X = 7

Which point represents the approximate location of 28?
A) point A
B) point B
C) point C
D) point D

Answers

Answer:

a.

Step-by-step explanation:

It appears to be increasing in increments of ten

Answer this: A) point A

emily bought 3 vases of flowers.the most expensive vase of flowers was 12.00 and least expensive was 8.00 which is a reasonable total amount emily could have paid for the 3 vases of flowers

Answers

Answer:$30

Step-by-step explanation:8+12=20 and I would figure she had another one with a price inbetween the two so I chose 10 and added 20+10=30

Emily's Mom sends her into the store with $10, telling her to buy as many apples as possible. If each apple costs 80 cents. how much change (in cents) will Emily receive?​

Answers

Answer:

Emily will receive 40 cents in return

SIMPLE QUESTION, 25 PTS: The cities G, H, and I, in respective order, lie approximately in a straight line. The distance from city G to city H is 72 miles. The distance from city G to city I is 92 miles. Find the distance from city H to city I.

Answers

Hey there! I'm happy to help!

From G to I is the total distance of the line (92). G to H is the first portion of the line (72) while H to I is the other portion.

To find H to I, simply subtract 72 from 92!

92-72=20

The distance from city H to city I is 20 miles.

Have a wonderful day! :D

Answer:

20

Step-by-step explanation:

2/3x = 6
A. x = 9
B. x = 4
C. x = 18
D. x = 12

Answers

Answer:

x = 9

Step-by-step explanation:

2/3x = 6

Multiply each side by 3/2

3/2 * 2/3x = 6 * 3/2

x = 18/2

x = 9

A. x=9

Hope this helps

write the inverse of f(x) = x + 5

Answers

Answer:

f^-1(x) = x - 5

Step-by-step explanation:

f(x) = x + 5

y = x + 5

x = y + 5

y = x - 5

f^-1(x) = x - 5

Answer:

f^ -1(x) = x - 5

Step-by-step explanation:

y =x+5

To find the inverse, exchange x and y

x = y+5

Solve for y

Subtract 5 from each side

x-5 = y+5-5

x-5 = y

The inverse is  x-5

Which expressions are polynomials??

Answers

Answer:

Options (1) and (2)

Step-by-step explanation:

Properties of a polynomial,

1). A polynomial having division by a variable can't be defined as a polynomial.

  Example:

   (y² + [tex]\frac{x}{1+x}[/tex])

2). A polynomial can't have a negative exponent.

  Example : [tex](x^{-2}+y-6)[/tex]

3). Polynomials don't have the radicals.

  Example : y² + x√3

4). A polynomial can't have a fraction exponent.

   Example : [tex]x^2+x^{\frac{1}{2}}-1[/tex]

By these properties, Options (3) and (4) are not the polynomials.

Options (1) and (2) are the correct options.

Identify the conclusion of the statement.
If a line is vertical, then the slope of the line is undefined.
A)
a line is vertical
B)
a line is horizontal
C)
the slope of the line is zero
D)
the slope of the line is undefined

Answers

Answer:

D) The slope of the line is undefined

Step-by-step explanation:

A vertical line will have an undefined slope, because it does not run horizontally.

To find the slope, you calculate it with rise over run, however, a vertical line will not run horizontally, meaning the run is 0.

And, dividing anything by 0 will get you an undefined answer.

So, D is correct. the slope of the line is undefined

Answer:

the slope of the line is undefined

Step-by-step explanation:

i just took test

Math Comprehension

Convert 77º F into kelvins.

Answers

Answer:

298.15 K

Step-by-step explanation:

Give two real-world situations that could be represented by the value 30

Answers

Answer:

1) I went shopping and I saw a dress and i went to the check out line and the lady told me that my total with be 30 dollars

2) It was my birthday and i took all my birthday cards and i counted all my money i got.. the total was 30$.

Step-by-step explanation:

a. If a bus travels 6km in to minutes, what
distance does it travel in Isecondo​

Answers

Answer:

60 second

Step-by-step explanation:

6km into minutes

1 minutes is 60 second

It travels 50 metres in 1 second if that was what you were asking


Jesse runs a 26-mile race in 5 hours. LJ runs a 15-mile race in 2 hours. Who runs at a slower rate?

Answers

Answer: Jesse

because i guess i divided the number you could do it however 15 divided by 2 = 7.5 and 26 divided by 5 = 5.2

Answer:

Jesse is the slower rate.

Step-by-step explanation:

The slower rate is going to be determined by the distance divided by the time.

Jesse: 26 / 5 = 5.2 miles / hour

LJ:    15 / 2 = 7.5 miles / hour

Jesse is the slower rate.

Help!!!!!! Put the circle with the greatest area on top. circumference = 30 diameter = 3 radius = 10

Answers

radius=10 is the largest

then the circumference=30

and the smallest circle is radius=3

Answer:

10 , 30 , 3

Step-by-step explanation:

Your radius: 10 is the greatest

The circumference is 30 that came from 10 x 3( diameter x radius)

and the diameter is 3 which is the smallest

Your air conditioner hasn’t been working properly, so you decide to set up an appointment to have it fixed. The repair company tells you that it costs $99 for a one time service fee plus $50 every hour. The technician came to your house and determined the drain was clogged. The total bill came to $549. Write an equation that represents this situation. (do not use any spaces in your equation & use the letter "x" to represent your variable)

Answers

Answer:

[tex]99 + 50x = 549[/tex]

Alternatively you can write it as;

[tex]50x - 450 = 0[/tex]

Step-by-step explanation:

One time service fee=$99

Rate of service=$50/hour

let unknown hours=x

Therefore the equation is

[tex]99 + 50x = 549[/tex]

or you can further simplify it to:

[tex]50x - 450 = 0[/tex]

And you can then solve for x to be 9 hours.

Sonjesa found a job in advertising that pays a yearly salary of $47,300. What is her weekly salary?
$6,757.14
$909.62
$985.42
$3,941.67

Answers

Answer:

$909.62

Explanation:

If Sonjesa makes $47,300 a year and in a year there are 52 weeks we do the equation...

$47,300 / 52 weeks = weekly salary

47300 / 52 = 909.615

If we round that equals $909.62

Hope this helps!

Evaluate the expression for p = –2.4 and q = –4. Write your answer as a decimal or whole number. pq − p =

Answers

p= -2.4
q= -4
pq-p

So sub in the variables and use a calculator
(-2.4)(-4)-(-2.4)

Two negatives multiplied together is positive.
Two negatives added together is positive.

9.6+2.4= 12.0


can someone please do this by applying the distributive property

Answers

distribute the -9. -9h+18=27 then subtract 18 from both sides so -9h=9 then divide both sides by -9 and your answer will be h=-1

A store sells candles.
• The retail price was a 45% markup
over the manufacturer price.
• A month later, the store reduced the
retail price of the candles by 20
percent.
What percent markup is the new retail
price over the manufacturer price?

Answers

Answer:

25%

Step-by-step explanation:

If you start at 45% and it reduces by 20% you are just doing 45-20 which equals 25. (Please let me know if im wrong)

16 percent markup is the new retail price over the manufacturer price.

Here,

A store sells candles.

Retail price will be 45% marked-up

A month later, store reduced the retail price of the candles by 20%.

We have to find the percent markup.

What is the percentage?

The percentage is the value per hundred.

Now,

Consider the manufacturer price = 100x

Retail price will be 45% marked-up

Hence,  100x+45% of 100x = 145x

Reduced retail price of the ladder after one month = 145x-145x*20/100

Reduced retail price of the ladder after one month = 116x

Percentage markup of the reduced retail price over the manufacturer price will be:

={(reduced retail price - manufacturer price)/manufacturer price} *100

=[ (116x-100x)/100x ] *100 = 16%

Hence, 16 percent markup is the new retail price over the manufacturer price.

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Hanson has 38 pieces of candy. He gives away c of the pieces. Write an expression that
shows the number of pieces of candy Hanson has left.

Answers

Answer:

38-c

Step-by-step explanation:

We know that the answer is 38-c because any piece of candy that Hanson gives away will be subtracted from the amount that he started out with.

Which features describe the graph? Select all that apply. Group of answer choices positive: (–2, 2) range: (–3, 4] domain: (–3, 3] decreasing: (–1, 4) negative: (–3, –2), (2, 5] increasing: (–3, –1)

Answers

Answer:

A,B,C,F

Step-by-step explanation:

The correct answer would be options (A), (B), (C), and (F)

(A) positive: (–2, 2)

(B) range: (–3, 4]

(C) domain: (–3, 3]

(F) increasing: (–3, –1)

What are the domain and range of the function?

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

The vertical span of the range is from y > -3 to y = 3. The interval for this is [(-3, 3].

The horizontal range, from x > -3 to x = +4, represents the domain. This is represented by the interval [(-3, 4].

The graph decreases to the right, it gets smaller. There is no mention of the endpoints. The x values are in the range (-1, 4).

The graph is increasing where it goes up to the right. The endpoints are generally not included. The x-values are in the interval (-3, -1).

The region of the graph that is above the x-axis is positive. The interval contains x. (-2, 2).

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