Laura owns and operates Aunt Linda’s Pecan Pies. She has learned that her profits, P(x), from the sale of x cases of pies, are given by P(x) = 150x – x2.

a. The company will “break-even” when the profit is zero. How many cases of pies should Laura sell in order to break-even? (Solve for x when P(x) = 0.) Write your answer in a complete sentence with proper grammar and correct spelling.


b. How many cases of pies should she sell in order to maximize profit? What is the maximum profit? Write your answer in a complete sentence with proper grammar and correct spelling.

Answer:

-0.12

Step-by-step explanation:

0.0844/(-0.72)=-0.11722222222

-0.11722222222 rounded to the nearest hundredths in -0.12

Answer:

- 0.11722222222

Step-by-step explanation:

- 0.0844 ÷ - 0.72 = - 0.11722222222

Answer:

c 111 mark me

Step-by-step explanation:

and ur welcome lol

Answer:

105

Step-by-step explanation:

if it true i add 65 +40 =105 so yeah

Answer:

Step-by-step explanation:

y = -5/4x + 5

Answer:

48m²

Explanation:

since 3cm represents 4m, the width of the dining hall would be 4m. its length on the drawing is 9cm, which is 3 times of 3cm, so we can also multiply 4m by 3 to find the real length of the dining hall. this would give us 12m.

3cm : 4m

(multiply both by 3)

9cm : 12m

now, we can calculate the area of the dining hall using the equation 12m × 4m = 48m².

i hope this helps! :D

Answer:

34 inches is the answer

Step-by-step explanation:

Answer: yes true or false

Step-by-step explanation: 7 true, 8 true, and 9 false

Answer:

a) Are the events 'winning' and 'playing at home' independent?  

Since the probabilities are same, the events are independent

b) Are the events "losing" and "playing away" independent?

Since the probabilities are same, the events are independent

Answer:

The median of the numbers is 3.66 less than the mean

Step-by-step explanation:

To find the median, find the middle of the numbers

0.6, 0.7, 0.85, 1.5, 5.4

To find the mean, add all the numbers and divide by the number of numbers

0.6 + 0.7 + 0.85 + 15 + 5.4 = 22.55

22.55/5 = 4.51

To find how less, subtract the median from the mean

4.51 - 0.85 = 3.66

Answer:

See explanation

Step-by-step explanation:

Recall that

Amount = Principal + Interest

The formula is;

A = P(1 + r)^n

Where;

P= principal, n = time and r = rate

Hence;

P + I =  P(1 + r)^n

P + 193.03 = P(1.021)^2

P + 193.03 = 1.04P

P - 1.04P = -  193.03

-0.04 P =  -  193.03

P = 193.03/0.04

P = $ 4825.75

B) When A = $6000, n=?

From;

A=   P(1 + r)^n

6000 = 4825.75 (1.021)^n

6000/4825.75 = (1.021)^n

1.24 =  (1.021)^n

Taking logarithm of both sides;

log 1.24 = n log 1.021

n = log 1.24/log 1.021

n = 0.0934/0.009

n = 10 years

Answer:

first step is to divide -12 by 6

Step-by-step explanation:

The first step would be to divide -12 by 6

-12/6 = -2

-2(-3) = 6

6 + 8 = 14

Answer: Method B is an experiment because it randomly assigns volunteers a sunscreen, while method A is an observational study.

Step-by-step explanation:

Based on the information given, we can infer that method A is an observational study. An observational study simply refers to the study whereby the researchers just observe the impact of a rise factor without them trying to change the people or things exposed to it. This can be seen as the survey adults visited the beach on the busy weekend asking each adult the brand of sunscreen that they use and then assess their arms for sun exposure.

Method B is an experiment. An experiment refers to a test that's carried out in order to evaluate a particular hypothesis or theory. Method B is an experiment because it randomly assigns volunteers a sunscreen.

Therefore, the correct option is D.

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 6/-5

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

The probability that a restaurant customer approves of the food given that they already approved of the service is 0.8, or 80%.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Let's use Bayes' theorem to solve this problem.

= P(approves of food | approves of service)

By Bayes' theorem, we can express this probability in terms of the probabilities of approving of the service and the food separately:

P(approves of food | approves of service) = P(approves of service and food) / P(approves of service)

We know that the overall customer approval rating for the service is 75%, so:

P(approves of service) = 0.75

We also know that the customer approval rating for both the service and the food is 60%, so:

P(approves of service and food) = 0.60

Substituting these values into the formula, we get:

P(approves of food | approves of service) = 0.60 / 0.75

P(approves of food | approves of service) = 0.8

Therefore, the probability that a restaurant customer approves of the food given that they already approved of the service is 0.8, or 80%.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

Answer:

115.48

Step-by-step explanation:

Rectangle = 7x11=77

2 half-circles = 3.5²[tex]\pi[/tex] = 38.48451

77+38.48=115.48

Answer:

5 times the cube of x divided by 4 times x answer is the first one from the left 5x³-4/x. the quotient of the difference of 5 times x cubed and 4 and x the answers is 5x³-4x/ the third one from the right. the cube of the difference of 5 times x and 4 the answer is the middle one

Answer:

(6,0) and (0,-8)

Step-by-step explanation:

Substitute a zero for each variable

So 4(0) - 3y = 24 to find the y-int so -3y = 24, y = -8, so y-int is (0,-8)

to find x-int y = 0 so 4x - 3(0) =24   so 4x = 24, so x = 6 so x-int is (6,0)

Answer:

Radius= 5.4

Step-by-step explanation:

Formula for Sphere- V= 4/3(pi)• r^3

r=(3 V/4 pi) = (3•660/4•pi)= 5.40114 (5.4)

Answer:

5 pizzas

Step-by-step explanation:

So first you subtract 18 so that you know that there is at least one cake.

84 - 18 = 66

When you get 66 dollars remaining, you divide it by 12 to see how many you can afford.

66/12 = 5.5

So because you can’t say you have an additonal amount of money, you would actually round down to 5.

So Matt can buy a total of 5 pizzas and 1 cake.

Answer:

5

Step-by-step explanation:

To find the number of pizzas Matt can buy while still being able to afford a cake set up an inequality. The inequality should look like [tex]84\geq 12x+18[/tex]  where x is the number of pizzas Matt bought. Then, solve the inequality by first subtracting 18 from both sides, [tex]66\geq 12x[/tex]. Next, divide both sides by 12, [tex]5.5\geq x[/tex]. This means that Matt can buy 5 pizzas. At first, it might seem like you should round up; however, if you rounded up at all then Matt could not afford the cake, so you must round down.

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: -4/7 count 4 down and 7 across

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

21 pieces of ribbon

Step-by-step explanation:

6.3/0.3= 21

Answer:

37

Step-by-step explanation:

Here the 2 angles are the same. So

74 = 2x

74/2 = x

x = 37

Answer ;

( refer the attachment for the division )

hence , x = 53

hope my answer helps you !!

Answer:

7 inches

Step-by-step explanation:

Now the area of a rectangle equals to length by width or in this scenario, height by base.

Therefore, we take a look at what we already have.

We got 5 inches for height and 35 squared inches as the area.

h= 5 inches a=35squared inches b=?

*Therefore, 5 x b =35

Through substitution this becomes:

*35/5= b

*Therefore b=7 inches

Answer:

191.0

Step-by-step explanation:

Answer:

x = 1

y = 9

Step-by-step explanation:

The diagonals of the parallelogram bisect each other. Therefore:

✔️2x + 13 = 15

2x + 13 - 13 = 15 - 13

2x = 2

2x/2 = 2/2

x = 1

✔️5y - 36 = y

5y - 36 - 5y = y - 5y

-36 = -4y

-36/-4 = -4y/-4

9 = y

y = 9

Answer:

C. 187 and 345

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 266 yards per game, standard deviation of 79 yards.

Between which two values do you expect the middle 68% of his performance to be?

By the Empirical Rule, within 1 standard deviation of the mean. So between 266 - 79 = 187 yards and 266 + 79 = 345 yards. The correct answer is given by option C.

Answer:

63 kilometers per hour for train A and 83 kilometers for train B

Step-by-step explanation:

Same beginning

but train B 20 kilometers per hour faster

15 minutes from 20 kilometers per hours are 5 kilometers

So, train B is 45 kilometers travel more far than train B.

= 360 kilometers - 45 kilometers

= 315 kilometers ÷ 5 hours

= 63 kilometers per hours

Hope it's right><

Answer:

V = [tex]\pi[/tex]r^2 x height

Step-by-step explanation:

Find the volume of the cone in terms of π. A cone with a radius of 5 feet and a height of 12 feet.

Radius (r) of the cone = 5 feet.

Height (h) of the cone = 12 feet.

The volume of the cone.

We know,

Formula of Volume of Cone is [tex] \frac{1}{3} [/tex]πr²h

Volume of the cone = [tex] \frac{1}{3} [/tex]× π × (5)² × 12

Volume of the cone = [tex] \frac{1}{3} [/tex]× π × 5 × 5 × 12

Volume of the cone = [tex] \frac{\pi \: × \: 5 \: × \: 5 \: × \: 12}{3} [/tex]

Volume of the cone = [tex] \frac{300\pi}{3} [/tex]

Volume of the cone = 100π in³

Volume of the cone is 100π in³.