Willy Wonka has 2 candies, Wonka bars and Everlasting Gobstoppers. Both have both natural sugar and sucrose in them. Each Wonka Bar has 4 grams of natural sugar and 1 gram of sucrose. Each Everlasting Gobstopper has 2 grams of natural sugar and 3 grams of sucrose. Mr. Wonka has 60 grams of natural sugar and 75 grams of sucrose. If each Everlasting Gobstopper has a profit of $1.3 and each Wonka Bar has a profit of $3.2, how many of each candy would give him the maximum profit?

Answers

Answer 1

Answer:

Wonka bars=3 and  Everlasting Gobstoppers=24

Step-by-step explanation:

let the wonka bars be X

and everlasting gobstoppers be Y

the objective is to

maximize 1.3x+3.2y=P

subject to constraints

natural sugar

4x+2y=60------1

sucrose

x+3y=75---------2

x>0, y>0

solving 1 and 2 simultaneously we have

4x+2y=60----1

x+3y=75------2

multiply equation 2 by 4 and equation 1 by 1 to eliminate x we have

 4x+2y=60

 4x+12y=300

-0-10y=-240

10y=240

y=240/10

y=24

put y=24 in equation 2 we have'

x+3y=75

x+3(24)=75

x+72=75

x=75-72

x=3

put x=3 and y=24 in the objective function we have

maximize 1.3x+3.2y=P

1.3(3)+3.2(24)=P

3.9+76.8=P

80.7=P

P=$80.9

Answer 2

Answer:

wonka bars=3 and  Everlasting Gobstoppers=24

Step-by-step explanation:


Related Questions

Help asap!!
Jenny predicted that she would sell 12 bracelets, but she actually sold 16 bracelets. Which expression would find the percent error? Use the table below to help answer the question.


Percent Error


Item

Approximate value

Exact value

Error

Absolute error

Ratio

Percent error

Bracelets

12

16

–4

4


-4/12(100)

-4/12

4/16

4/16(100)

Answers

4/16(100)

Step-by-step explanation:

Answer:

4/16(100)

Step-by-step explanation:

Write the domain and range of the function as an inequality

Answers

Answer: Choice C

Domain = [tex]-\infty < x < +\infty[/tex]

Range = [tex]y \le -4[/tex]

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

Explanation:

The arrows on the graph indicate it goes on forever in both left and right directions. So the domain is the set of all real numbers and as an inequality, we write [tex]-\infty < x < +\infty[/tex] which is the same as saying [tex]-\infty < x < \infty[/tex]

This says x is between negative infinity and positive infinity.

In set builder notation, we would say [tex]\{x | x \in \mathbb{R}\}[/tex] and in interval notation, we would write [tex](-\infty, \infty)[/tex]

As you can probably see, the domain is the set of all possible x inputs of a function.

--------------------------

The range is the set of all possible y outputs of a function.

The largest output is y = -4 which is where the vertex is located.

There is no smallest y value as the arrows point down, and the graph goes forever in that direction.

So we say the range is [tex]-\infty < y \le -4[/tex] which shortens to [tex]y \le -4[/tex]

The range in set builder notation is [tex]\{y | y \in \mathbb{R}, \ y \le -4\}[/tex]

The range in interval notation is [tex](-\infty, -4][/tex] The square bracket says to include the endpoint, while the parenthesis excludes the endpoint.

Several English professors categorized the literary works from their
seminars by time period and length, as shown in the table. According to
the table, what percent of the literary works with 500 or more pages are
from the 19th century?

Answers

Answer:

358

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

Which statement(s) apply to stratified random sampling? Check all that apply.

A) It can provide better estimates than a simple random sample.
B) The researcher needs some knowledge of the population in terms of characteristics relevant to the study.
C) A challenge is that it is necessary to have strata of the same size.
D) Creating strata of similar individuals to sample from reduces variability.
E) It can be difficult to obtain with a very large population.

Answers

Answer:

The correct options are;

A) It can provide better estimates than s simple random sample

B) The researcher needs some knowledge of the population in terms of characteristics relevant to the study

E) Creating strata of similar individuals reduces variability

Step-by-step explanation:

In order to reduce the variance in the population being studied the stratified sampling technique is used which consists of separating the given sample from the population into different strata based on known characteristics and finding out the result of the experiment in each strata. Each strata posses a common or shared attribute such as educational level or total level of income.

The statements that apply to stratified random sampling are;

A) It can provide better estimates than a simple random sample.

B) The researcher needs some knowledge of the population in terms of characteristics relevant to the study.

D) Creating strata of similar individuals to sample from reduces variability.

E) It can be difficult to obtain with a very large population.

Stratified random sampling is a method of sampling from a population that involves dividing the entire population into homogeneous groups that called strata.

The way it is done is that a random sample from each stratum is usually taken in a number that proportional to the size of the stratum if we compare it to the population size.

From the definitions above, the options that apply are, A, B, D and E.

Read more about stratified random sampling at; https://brainly.com/question/1954758


2. Lauren is thinking about spending all of her allowance money to buy a new bike. If she has $224
and she can only afford of the price of the bike, how much does the bike cost?

Answers

Answer:

$224

Step-by-step explanation:

The bike costs  $224

  From the expression of the problem, we know that she used all her money to buy the bike.

  That means;

      Allowance money  = bike cost

Therefore, the cost of the bike is  $224

subtract from both sides -6- (8.4) =1.2x +8.4 - (8.4)​

Answers

Answer: -6- (8.4) =1.2x +8.4 - (8.4)​

X = - 12

You have inherited a large collection of audio compact discs and decide to purchase a HiFi system to play them. At the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. How many different HiFi systems are available to purchase from this retailer

Answers

Answer:

24

Step-by-step explanation:

Since at the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. We have 4 different ways of selecting the CD players, we also have 2 different ways of selecting the amplifiers and 3 different ways of selecting the 3 sets of speakers.

So, the total number of different HiFi systems are available to purchase from this retailer is 4 × 3 × 2 = 24 .

So we have 24 different HiFi systems are available to purchase from this retailer

1.) 9x + 2x - 5x + 7 - 6

Answers

Answer:

6x+1

Step-by-step explanation:

9x+2x-5x+7-6

11x-5x+7-6

6x+1

Awnser: 6x+1 :D

                                         

What you do is you split it in half so 9x plus 2x is 11x minus 5x is 6x. 7-6 is 1. Put them together and you get 6x+1

Solve the inequality:

u^2 > 8u + 33

Answers

Answer:

u<−3 or u>11

Step-by-step explanation:

u2=8u+33

u2−(8u+33)=8u+33−(8u+33)(Subtract 8u+33 from both sides)

u2−8u−33=0

(u+3)(u−11)=0(Factor left side of equation)

u+3=0 or u−11=0(Set factors equal to 0)

u=−3 or u=11

4y+13x-5+6y-x simplified

Answers

Answer:

[tex]12x+10y-5[/tex]

Step-by-step explanation:

[tex]4y+13x-5+6y-x[/tex]

Combine the like terms

[tex]12x+10y-5[/tex]

PLEASE HELP!!! I WILL GIVE BRAINLIST!

Answers

Answer:

Ok

Step-by-step explanation:

What’s the question

In the expression 3x2y + 4x – 5x2y, are the terms 3x2y and –5x2y like terms? Explain by providing support for your answer.

Answers

Answer:

yes

Step-by-step explanation:

These are like terms because they  have the same variables and powers. The coefficients do not need to match for it to be considered a like term.

Answer:

Sample Response: Yes, they are like terms because like terms have the same variables raised to the same powers. Both terms contain an x and y variable with the x variable squared.

Step-by-step explanation:

HELP PLS (picture below)

Answers

The answer is C
5.26x10^3 = 5,260

C

Because it will equal 5,260 but all the other are bigger

will 20,40,30 form a right triangle

Answers

Answer:

Yes

Step-by-step explanation:

Because it is equal to 90

Answer:

accutally the answer is no i had the same thing

Step-by-step explanation:

A blouse that is size x in country A is size​ s(x) in country​ B, where ​s(x)x. A blouse that is size x in the country B is size​ t(x) in country​ C, where ​t(x)x. Find a function​ f(x) that will convert blouse sizes in country A to blouse sizes in country C.

Answers

Answer:

f(x) = [k(x): x = s(x) = t(x)]

Step-by-step explanation:

To make the question clearer, rewrite;

A blouse that is size x in country A is size s(x) in country B.

s(x) = x

A blouse that is size x in country B is size t(x) in country C.

t(x) = x

Find a function f(x) that will convert blouse sizes in country A to blouse sizes in country C.

f(x) = [k(x): x = s(x) = t(x)]

Interpretation:

f of x is equal to k of x such that x is equal to s of x which is also equal to t of x.

Where the other blouse sizes are represented by k(x) or as a function of the given size x.

Which number is rational, an integer, and a real number?
A. 1.5
B.
C. There is no such nurnber.
D. -5

Answers

Answer:
1.5

Explanation:



Mr. Friedline is an incredible gardener. He has a
rectangular plot of land that he uses for his garden in his
backyard that measures 74.52 square feet. Recently,
animals have been getting into his garden, so he wants to
put up a fence around the garden. At the Home Depot, the
fence will cost $8.95 for each foot he needs. If the length
of the garden is 8.1 feet, how much will it cost Mr. Friedline
to put a fence around his garden?

Answers

Answer:

8.1 x 8.95 = 72.495

Step-by-step explanation:

Feet x $f = $$$

A store sells 2 printers for every 5 computers the store sells 40 computers how many printers dose the store sell

Answers

It’s 16 cause 8x2=16

Select ALL graphs that do NOT represent a function.

Answers

Answer:

3 and 5

Step-by-step explanation:

If you do the vertical line test those ones do not pass. The vertical line test is the test you do to see if it is a function. You draw a vertical line and if that line crosses the graphed line only once it is a function.

Can someone help me create a slope story???

Answers

Answer:

I was walking home which I had to go up a hill I wanted to stop by the gas station which was a small hill upwords went back down that hill and the big hill to reach home.

Step-by-step explanation:

y axs = elavation

x axs = time

Hope that helped a little I need to do my hw but seen you needed help sorry if I did not help :(

Point AAA is at {(1, 5)}(1,5)left parenthesis, 1, comma, 5, right parenthesis and point CCC is at {(-5,-7)}(−5,−7)left parenthesis, minus, 5, comma, minus, 7, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that ACACA, C is 666 times as long as ABABA, B.

Answers

Answer:

(0, 3)

Step-by-step explanation:

If a point O(x, y) divides a line XY in the ratio n:m with [tex]X\ at\ (x_1,y_1)\ Y\ at\ (x_2,y_2)[/tex], the coordinates of O is:

[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]

AC is 6 times AB, this means that point B, divides line AC in the ratio 1:5. Given A at (1,5) and C at (-5, -7)

Let us assume B to be at (x, y), hence:

[tex]x=\frac{1}{1+5}(-5-1)+ 1=\frac{1}{6}(-6)+1 =0\\\\y=\frac{1}{1+5}(-7-5)+5=\frac{1}{6} (-12)+5=3[/tex]

Therefore the location of B is (0, 3)

Answer:

(0, 3)

Step-by-step explanation:

Is this a function or no

Answers

Answer: Yes it is a function

Step-by-step explanation:

Answer:

YES

Step-by-step explanation:

PLS HELP ILL MARK YOU BRAINEST DUE SOON

Answers

Answer:

A, B, C, D or simplify all of them

Step-by-step explanation:

Answer:

all 4 of them

Step-by-step explanation:

a. 29x + 92 = 29x - 11

   0x + 92 = -11

   0x ≠ -103

b. 29x + 11 =  29x - 11

   0x + 11 = -11

   0x = -22

   0 ≠ -22

c. 29x - 29 = 29x - 11

   0x = 18

   0 ≠ 18

d. 29x + 29 = 29x - 11

  0x + 29 = -11

  0x = -40

  0 ≠ 40

Carlos has saved $19.80. Shaq saved 5/6 of the amount that Carlos saved. Deontae saved 4 times as much as shaq. What is the total saved amount of all threw

Answers

102.30this is your answer to your question

what is the slope of the line that passes through the points (5, -11) and (-9,17)?

Answers

the slope for points (-9, 5) (-17, 5) is m = 0
The slope that passes through the points (5,-11) and (-9,17) is -2. I hope this helps and Pls mark brainliest!

Write the slope intercept form of an equation for the line containing (0,-3) with slope -1.

Answers

Answer:

y=-x-3

Step-by-step explanation:

Formula (point slope): y-y1=m(x-x1)

y-(-3)=-1(x-0)

(distribute the -1)

y+3=-1x+0

(combine like terms)

y=-1x-3

IF YOU CAN GET THIS YOU CAN GET SOME POINTS HURR BRAINLIEST IS WAITING!!!!!

My twin lives at the reverse of my house number. The difference between our house numbers ends in two. What are the lowest possible numbers of our house? MY HOUSE NUBER IS 19

Answers

Answer:

21 or 12

Step-by-step explanation:

Suppose, the number of one of the houses is “xy”, whose numerical value = (10x + y).

So, the number of the other house is “yx”, whose numerical value = (10y + x).

Let, “xy” > “yx”.

Now, difference of house numbers = {(10x + y) - (10y + x)} = {9 * (x - y)}; so the difference is a multiple of 9.

Now, the smallest positive number, divisible by 9, that ends with 2 is 72 = (9 * 8).

So, (x - y) = 8.

Since, 0 ≤ x, y ≤ 9; so, there are two solutions in hand:

I) x = 8, y = 0……………………..this makes the house numbers: “80” and “08”.

II) x = 9, y = 1…………………..this makes the house numbers: “91” and “19”.

So, the lowest possible numbers of the houses are “80” and “8” (not “91” and “19”).

A single digit number can not have its reverse number. hence 10,20,30,40,50,60,70,80 and 90 can not be the house number

Reverse of these numbers is same, hence 11,22,33,44,55,66,77,88 and 99 can not be the house number

For other reverse numbers the difference will be in multiples of 9 like 9,18,27,36,45,54,63,72,81

As the difference between house numbers ends in two, the lowest possible numbers of our house are 19 and 91

When 0 (zero) also considred as part of house number, the lowest possible numbers of our house are 08 and 80

· Yolanda deposited $3,547 into an account that earns 4.5%
simple annual interest. Calculate the interest Yolanda will earn
after 6 years. How much will Yolanda have in her account after 6
years?

Answers

Answer:

$4,504.69

Step-by-step explanation:

1. Which set of numbers includes the square root of 42?

a) irrational number
b) integers
c) rational numbers
d) whole numbers

2. What is the name of this set?
{ … -3, -2, -1, 0, 1, 2 3, …}
a) real numbers
b) integers
c) rational numbers
d) whole numbers

3. Which set does not include negative numbers?
a) real numbers
b) integers
c) rational numbers
d) whole numbers

4. Which of these equals an integer?
a) 12 ¸ 5
b) -12 ¸ 5
c) -15 ¸ 4
d) -15 ¸ 5

5. Which of these is closest to 150?

a) 12.2
b) 12.4
c) 14.2
d) 15

Answers

Answer:

C,B,D,A,D

Step-by-step explanation:

10 is 6% of what
number?

Answers

Answer:

60

Step-by-step explanation:

10 × 6 is 60. if it asks the % of a number, you multiply the number by %

Answer:

60

Step-by-step explanation:

hope this helps

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