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

Nata spent $28 on 2 DVDs.At this rate ,how much would 5 DVDs cost?At what rate did she spend her money?

Answers

Answer:

$70 for 5 DVDs  one dvd costs $14

Step-by-step explanation:

Answer:

5 cd's is 70 dollars

Step-by-step explanation:

28 divided by 2 = 14

Therefore 1 cd = 14 dollars

14 x 5 = 70$=5 CD's

f(x)=-4x+2 find f(x) when x=1

Answers

Answer:

6

Step-by-step explanation:

plug in 1 for where it says x and you would get 6

PLEASE ANSWER!!! Assume the angles marked as 60 degrees measure 55 degrees instead, and the angle marked 43 degrees measures 50 degrees instead. Determine the measures of other angles. How do you find the answer for angles D and E?

Answers

Answer:

D is 85° and E is 95°

sorry I found it easier to write on paper.

how many miles can the car ride drive on 11 gallons of fuel

Answers

Answer:

220

Step-by-step explanation:

There are about 20 miles worth of gas per gallon so 20 x 11 = 220

4. During a 12- hour period, the temperature dropped 48°. How many degrees did the temperature drop each hour.
Is the answer negative or positive? Please help..

Answers

Answer:

-4

Step-by-step explanation:

Ethan builds two different kinds of chairs, rockers and swivels. It takes him 3 hours to build a rocker and requires 2 oz of stain. It takes him 2 hours to build a swivel chair and requires 8 oz of stain. Ethan has 56 oz of stain available and he can only work up to 24 hours. He makes $12 profit on each rocker and $10 profit on each swivel chair. 1. Since there cannot be negative chairs, create two constraints to represent this. 2.Create a constraint for the hours it takes to build the chairs. 3. Create a constraint for the stain it takes for the chairs. PLEASE HELP

Answers

Answer:

(1) [tex]x\geq 0\; \text {and}\;y\geq 0[/tex]

(2) [tex]3x + 2y\leq[/tex] 24

(3) [tex]x+4y\leq 28[/tex]

Step-by-step explanation:

Let x and y be the numbers of rockers and swivels made by Ethan.

(1) Since the number of chairs can't be negative. So,

x\geq0 and y\geq 0 are the two constraints.

(2) He can work a maximum of 24 hours.

The time required to make 1 rocker chair and 1 swivels chair are 3 hr and 2 hr respectively.

So, the time required to make x rocker chair = 3x hr

and the time required to make y swivel chair = 2y hr.

The total time required is  3x + 2y hr which can't be more than the available time, 24 hr.

So, the required constraint is

[tex]3x + 2y\leq 24[/tex]

(3) Similarly,

As 1 rocker chair requires 2 oz strain and 1 swivel chair required 8 ox strain.

So, to make x rocker chair 2x oz required and make y swivel chair 8y oz required which can't be more than the available oz, 56.

So, the required constraint is

[tex]2x + 8y\leq 56[/tex]

[tex]\Rightarrow x+4y\leq 28.[/tex]

If you buy a car wash at the gas station for $6.00, the cost per gallon is $2.35. Use your equation from the previous question to find how many gallons of gas you could buy with 40 dollars.

help asap if you do you will get the crown thingy

Answers

Answer:2.35x+6.00=y

x=number of gallons of gas

Step-by-step explanation:

Two integers have a difference of 18 and a sum of 2. What is the product of the two integers?

Answers

Answer:

the product of the two integers is -80

Answer:

-80

Explanation:

it was on a mathcounts competition

What is the value of the expression show when n= 6
“8 less than the quotient of 42 and a number”

Answers

Answer:

-1

Step-by-step explanation:

Your answer is -1 because you replace the variable n with 6. 42/6 = 7. 8-7 = -1

PLEASE ANSWER FAST.
The question is in the picture.
(question 24)

Answers

Answer:

As the values of x increase both function decrease in value.

Step-by-step explanation:

Please help i’m having a hard time answering it

Answers

So we know 5ft to 1cm then
4x5=20ft
6x5=30ft

WILL GIVE BRAINLST FOR WHOEVER ANSWERS FIRST Which of the following equations is equivalent to 6(3p – 2) = 20?
Group of answer choices


9p – 4 = 20


9p – 8 = 20


18p – 12 = 20


18p – 2 = 20

Answers

It would be the 3rd option, because you multiply 6 and 3 and get 18, and then multiply 6 and 2 and get 12 so it would be 18p-12=20

Solve the equation. Identify any extraneous solutions.
h = sqrt 3h

-3 is a solution of the original equation. 0 is an extraneous solution.

0 and 3 are solutions of the original equation.

3 is a solution of the original equation. 0 is an extraneous solution.

0 is a solution of the original equation. 3 is an extraneous solution.

Answers

Answer:

It's the second option:

0 and 3 are both solutions.

Step-by-step explanation:

h = √(3h)        Square both sides:

h^2 = 3h

h^2 - 3h = 0

h(h - 3) = 0

h = 0, 3.

If we plug h = 0 into the original equation:

0 = √(3*0) = 0 so this is a root.

x = 3:

3 = √(3*3) = 3 so this is also a root.

Answer:0 and 3 are solutions of the original equation.

Step-by-step explanation:

Which of the following equations does not represent the sinusoidal function graphed below?
y = -2sin2x
y = 2sin2x + pi/2
y = 2sin2(x +pi/2 )
y = 2sin(2x + π)

Answers

Answer:

y = 2sin2 x + pie/ 2

Step-by-step explanation:

Answer: y= 2sin2(x +pi/2 )

What do you need if you have to write the equation of a parabola?

Answers

This straight line outside the parabola is called the directrix. For parabolas that open either up or down, the standard form equation is (x - h)^2 = 4p(y - k). For parabolas that open sideways, the standard form equation is (y - k)^2 = 4p(x - h). The vertex or tip of our parabola is given by the point (h, k).

2x + 3b = 156
5 = b + 8

Answers

Answer:

x = 29 ,  b = -3

Step-by-step explanation:

5 = b + 8

5 - 8 = b

-3 = b

b = -3

2x + 3b = 156

156 / 3 = 52

52 / 2 = 26

x + b = 26

26 + 3 = 29

x = 29

are lines a and b parallel? and could you explain?

Answers

They are parallel because the lines would never intersect or touch each other
I mean they look straight so yeah man

A box of crayons costs $1.75, including tax. Mr. Valentino wants to purchase boxes of crayons for his class and has a $25 budget. Write an inequality to solve for the number of boxes of crayons Mr. Valentino can purchase.
NEED HELP PLZZZ :( WILL GIVE BRAINIEST IF RIGHT
A $1.75x ≤ $25
B $1.75x ≥ $25
C $25x ≤ $1.75
D $25x ≥ $1.75

Answers

Answer:

A ) $1.75 x  ≤ $25

Step-by-step explanation:

the cost of x boxes of crayons = 1.75x dollars

If there is a budget of only $ 25,

So, the cost of x boxes of crayons ≤ $25

Answer:

Since his budget is 25, it's less than or equal to ( ≤ 25). That means your answer would be A  $1.75x ≤ $25 because 1.75 times the amount of crayons can't go over the $25 budget.

What is the equation of the line that is perpendicular to y = -x + 4 and passes through
the point (-1, 3)?

Answers

Answer:

Try y=x²+4

Step-by-step explanation:

y=-x+4

when its perpendicular you change the -x to x. When you have a perpendicular equation flip the sign and if fraction flip the fraction as well but there isn't a fraction here so you just change the -x to a +x and then work out the problem like this

y-3=x(x- -1)

y-3=x²+1

 +3     +3

__________

y=x²+4

Kelly inherits land which had a basis to the decedent of $95,000 and a fair market value of $50,000 on August 4, 2018, the date of the decedent’s death. The executor distributes the land to Kelly on November 12, 2018, at which time the fair market value is $49,000. The fair market value on February 4, 2019, is $45,000. In filing the estate tax return, the executor elects the alternate valuation date. Kelly sells the land on June 10, 2019, for $48,000. What is herrecognized gain or loss? ($1,000) ($2,000) ($47,000) $1,000 None of the above

Answers

Answer:

The correct option is;

Her recognized loss is ($1,000)

Step-by-step explanation:

The given information are;

The basis of the land to the decedent = $95,000

The land's market value on 4th of August 2018 when the decedent died  = $50,000

The alternate valuation date = 6 months + The date of death of the decedent = 4th February, 2019

The value filed by the executor on the tax return using the alternate valuation date = The market value of the estate on 4th of February 2019

The market value of the land on 4th of February 2019 = $45,000

∴ The value filed by the executor on the tax return using the alternate valuation date = $45,000

The value of the land on November 12, 2018 when the executor distributed the land to Kelly = $49,000

The value at which Kelly sells the land on June 10, 2019 = $48,000

Given that, recognized gain is the profit made from selling an asset based on the value of the asset when it was obtained, we have;

Kelly's recognized gain or loss = (The value at which Kelly sells the land) - (The value of the land when the executor distributed the land to Kelly)

Kelly's recognized gain or loss = $48,000 - $49,000 = -$1,000 = ($1,000)

Therefore, Kelly's recognized loss = ($1,000).

An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4000 in its reserve fund. Write an inequality to represent this situation.

Answers

Answer:

if you search the Question up the fist thing to pop up should say Gr7_Math_Revision_T2. on the 7th page your answer, I think. is there

Step-by-step explanation:

Step 1

Write and solve the inequality:

2,500 + 40a ≥ 4,000, or 40a ≥ 1,500

a ≥ 37.5

Step 2

If the shelter places 30 cats and 10 dogs,

or 40 animals, that will be enough to meet

its goal, because a = 40 is a solution to the

inequality a ≥ 37.5.

For art class, each student
is going to make a piñata using pound of
paste. The art teacher bought 20 pounds of
paste. Which equation can be used to determine
the number of students that can make piñatas?
A. (n = 20
20
B. 4 = 20
D. 2n = 20
n =

Answers

Answer:

s=25

Step-by-step explanation:

(x^2-3x+1)(x^2+2x-1) PLEASE SHOW STEP BY STEP ON HOW YOU GOT THE ANSWER

Answers

Answer:

first multiply

2x-3x+1+2x+2x-1

add all like terms

3x+1-1

final answer is 3x

Step-by-step explanation:

Answer:

=x4−x3−6x2+5x−1

Step-by-step explanation:

(x2−3x+1)(x2+2x−1)

=(x2+−3x+1)(x2+2x+−1)

=(x2)(x2)+(x2)(2x)+(x2)(−1)+(−3x)(x2)+(−3x)(2x)+(−3x)(−1)+(1)(x2)+(1)(2x)+(1)(−1)

=x4+2x3−x2−3x3−6x2+3x+x2+2x−1

=x4−x3−6x2+5x−1

44 kg of tomatoes cost $352. How many
kilograms of tomatoes can you get with
$216?

Answers

Answer:

27 tomatoes

Step-by-step explanation:

Answer:

27kg

Step-by-step explanation:

352 divided by 44 equals 8.  216 divided by 8 equals 27.  So 27 times 8 equals 216. Therefore 216 dollars will get you 27 kg of tomatoes.

Drag numbers to complete the table for missing values of x, x2, and x3.

Answers

Answer:

Values are:

x x²

10 100

5

What Eva the person on top said is rightly

(x2 – 2x – 2)(3x2 - 4x +4)

Answers

Answer:

10-4x

Step-by-step explanation:

The answer to the equation is 10-4x

Pls answer and show WORK pls do it right

Answers

Answer:

4/6

Step-by-step explanation:

1/2 needs to be converted to sixths, so we would multiple the numerator and the denominator by 3, because 2 goes into 6, 3 times, then we would get 3/6 + 1/6, then just add, 1 + 3 = 4, and then you end up with 4/6. Have A Great Day!

I need help asap pleaseeeee

Answers

Answer:

y=x-3

Step-by-step explanation:

thats the answer

A square on a coordinate plane has the points A(0, 0), B(0, 5), C(5, 5) and D(5, 0). If Square ABCD is rotated about the origin 180 degrees clockwise to form Square A'B'C'D', what would be the length of one of the sides? A. 0 units B. 5 units C. 10 units D. 20 units

Answers

Answer:

B. 5 units

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.

If a point X(x,y) is rotated about the origin 180 degrees clockwise the new point is at X'(-x, -y).

If the square with vertices at A(0, 0), B(0, 5), C(5, 5) and D(5, 0) is rotated about the origin 180 degrees clockwise the new points are at A'(0, 0), B'(0, -5), C'(-5, -5), D'(-5, 0)

A square has four equal sides. The distance between two points [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex] is:

[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Hence:

[tex]|A'B'|=\sqrt{(0-0)^2+(-5-0)^2} =5[/tex]

A store manager instruct his employees to mark up all items by 30%.

What was the clerks likely error?

Answers

Answer: i have this work book and i guess it would be the clerk didnt put the amonut up enough

Step-by-step explanation:

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