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

Shelly runs 2.5 miles in 18 minutes. What is her mile time in minutes?​

Answers

Answer:

7.2 minutes

Step-by-step explanation:

You can just divide 18 minutes by 2.5, and you will get 7.2 minutes per mile. Hope it helps!

IF YOU KNKW WHAT THE ANSWER IS PLEASE HELP ME

Answers

Answer:

exponential

Step-by-step explanation:

This function can be expressed as 125*3^x, where x is the number of hours passed.

Since linear equations are expressed as mx+b, quadratics are expressed as ax^2+bx+c, and exponential functions are expressed as ab^x, only the exponential function would be a valid answer.

help please i dont wanna fail

Answers

Answer:

it'd be 3,752

Step-by-step explanation:

since the perimeter is 268 X 14 = your answer

what expression can be used to 80% of 120

Answers

Answer:

59%

Step-by-step explanation:

Answer:

96=80% of 120

Step-by-step explanation:

A kayak is originally priced at $100. The online retailer gives a discount and the kayak is now priced at $75. Enter the percentage discount for the cost of the kayak.

Answers

Answer:

25%

Step-by-step explanation:

Discount:

  $100 * .25 = $25

New Price:

  $100 - $25 = $75

Explain how Main Sequence Stars
are different from Giant stars and
Dwarf stars?


Help me with thissss

Answers

A giant star is a star with substantially larger radius and luminosity than a main-sequence (or dwarf) star of the same surface temperature. They lie above the main sequence (luminosity class V in the Yerkes spectral classification) on the Hertzsprung–Russell diagram and correspond to luminosity classes II and III.

Adam wants to create an outdoor rectangular kennel. The length will be three feet more than twice the width. Write and use an equation to find the length and width of the kennel if Adam has 54 feet of fencing. Write and solve an equation to solve this problem.

Answers

Step-by-step explanation:

l = 3 + 2w

P= 2w t 2l

= 2w+2(3+2w)

=2w+6+4w

=6w+6 = 54

6w=48

w=8

divide 6 both side

l=3+2(8)=3+16=19

answer

width 8feet and length 19 feet

What is the coefficient in the simplified expression?

Answers

Answer:

poins lang talaga to

Step-by-step explanation:

hahahahahahahahahahahahahaha

PLEASE PLEASE HELP AND FAST
Morrie completed the work to solve this problem. Is his work correct?

Negative StartFraction 5 over 6 EndFraction minus (negative three-fourths) = Negative StartFraction 5 over 6 EndFraction minus three-fourths = Negative StartFraction 8 over 10 EndFraction = Negative four-fifths

What were Morrie’s errors? Check all that apply.
He should have made all the signs positive.
He should have changed Negative StartFraction 5 over 6 EndFraction minus (negative three-fourths) to Negative StartFraction 5 over 6 EndFraction + three-fourths
He should have found the common denominator, 12.
He should have subtracted StartFraction 5 over 6 EndFraction and Three-fourths
The answer should be Negative StartFraction 1 over 12 EndFraction

Answers

Answer:

The correct answers are B, C, and E.

Step-by-step explanation:

Answer:

b c e

Step-by-step explanation:

Write the sentence as an equation.
m divided by 341 equals 315

Answers

Answer:

m/341=315

Step-by-step explanation:

Answer:

m/341=315 because the divided symbol is / and the equals symbol is = so replace the words with the symbol.

Solve for r.
-13 = r/9 + 8

Answers

Answer:

Your answer is going to be r= -189

Step-by-step explanation:

(-13)-8=(r/9+8)-8

9(-21)=(r/9)9

r=-189

Solve for x.
z=(x-5)k

Answers

Answer:

x=z/k+5

Step-by-step explanation:

the answer is z/k + 5 = x

PLEASE HELP MEE ASAP!

Answers

Answer:

Step-by-step explanation:

1/6

An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet per minute. Assume the plane continues at the same rate of descent. whats the slope and y intercept ​

Answers

Answer:

The slope is -2000 and the y-intercept is 30,000

Step-by-step explanation:

slope-intercept form: y=-2000x+30,000

12) 12 ft. = ? yd. (1yd. = 3 ft)

13) 2 gal. = ? qt. (4qt.= 1 gal.)

14) 2 gal. = ? oz. (1qt. = 32 oz.)

Help!!

Answers

12. 4 yds.
13. 8 qts.
14. 118 oz

Open-Ended Which of these situations can be represented by the opposite of 53? Use pencil and

paper. Describe two more situations that can be represented by the opposite of 53.

A book was 53 pages shorter than you expected.

Andrew spent $53.

The temperature was 53°F.

Jennifer sold 53 apples.

Select each situation that can be represented by the opposite of 53.

O A. Andrew spent $53.

OB. Jennifer sold 53 apples.

OC. A book was 53 pages shorter than you expected.

D. The temperature was 53°F.

Answers

Answer:

A book was 53 pages shorter than you expected

Jennifer sold 53 apples.

Andrew spent $53.

Step-by-step explanation:

The question proposed that we should determine which situation can be said to be the opposite of 53. From the listed option, we will realize that the following:

A book was 53 pages shorter than you expected

Jennifer sold 53 apples.

Andrew spent $53.

The above options are the opposite of 53. This is because a book that was shorter than expected will need to be refilled.

Suppose Jennifer has x apples, and She sold 53 apples out of it. It means x = -53, which is the opposite of 53.

Andrew spent $53; let say Andrew had y+$53. After spending $53, he has y = - $53, which is the opposite of 53.

But the temperature, which was 53°F, will still be at that position on the thermometer provided it is not being affected by external conditions.

What does sin(-u) equal?
.
.
.
.
.
.
.
PLEASE HELP!!!

Answers

Answer:

-sin(u)

Step-by-step explanation:

This is a Trig identity.  The best way to understand this is to start at zero degrees.  +u would move counterclockwise, while -u moves clockwise.  The sine function gives you how far in the y-direction you are from the x-axis.  Since you're moving the same amount by going u degrees (or u radians) around the circle as you would going -u degrees (or -u radians), your distance from the x-axis is the same.  But it reflects over the x-axis, so the two outcomes are inverses of each other.

Can someone explain how to find the slop and y-intercept?

Answers

Answer:

slope: 4/5

y-intercept: (0,4)

slope intercept form: y = 4/5 x + 4

Step-by-step explanation:

to find the slope, you have to find the difference of the x coordinants and the difference of the y coordinants. since the two coordinants we have are 0,4 and 5,0 and we know that 0 - 5 is -5 and 0 - 4 is -4 we then have to divide the two. so now we get -4/-5. since a negative divided by a negative is a positive, the negative signs cancel out. since the fraction is in simplest form, that is our answer. also, since its rise over run, it means that everytime you go up or down 4 and over 5, you will reach a whole number on the graph.

okay, now the y-intercept is when the line crosses the y-axis/when x=0. the y-intercept for this example would be 4 or (0,4). i hope that makes sense. like i said ill get back to you on the slope thing in a minute just a second...

Explain why the graph of the quadratic function ()=2++5 crosses the y-axis by does not cross the x-axis

Answers

Answer:

The graph of a quadratic function is a parabola, and its parts provide valuable information about the function.

Step-by-step explanation:

there are 678 freshmen ,and 552 sophomore students. how many more freshmen than sophomore students are there?​

Answers

Answer: There is 126 more freshmen than sophomores.

Step-by-step explanation:

Subtract the number of freshmen by the number of sophomores.

678 - 552 = 126

Just subtract 678-552
Which equals 126
There are 126 more freshmen than sophomore students

rounded to the nearest hundred thousandth the number 0.00005361 is ___​

Answers

Answer:

0.00005

Step-by-step explanation:

C Evaluate 7 . 2.7. 5 using the properties of numbers by matching each step with the property used. = 7.7.2.5 Choose... = (7-7) (2 - 5) Choose... = 49 - 10 Distributive Property Fir Commutative Property Please answer all parts of Closure Property Transitive Property Simplify. Associative Property 7.2 7.5= Substitution Property​

Answers

Answer:um this is hard i will give you the answer give me a sec

Step-by-step explanation:

Tom walks 3.2 km every morning. How many feet are in 3.2 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet? 2,654.85 feet 8,500.67 feet 10,500.93 feet 16,901.15 feetTom walks 3.2 km every morning. How many feet are in 3.2 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet? 2,654.85 feet 8,500.67 feet 10,500.93 feet 16,901.15 feet

Answers

Answer:

10,500.93 feet

Step-by-step explanation:

From the question, we are told that Tom walks 3.2km every morning.

1 mile = 1.609km

1 mile = 5280 feet

Step 1

1.609km = 1 mile

3.2km = x mile

Cross Multiply

x mile × 1.609km = 3.2km × 1 mile

x mile = 3.2km × 1 mile/1.609.

= 1.9888129273 miles

1 mile = 5280 feet

1.9888129273miles = y

Cross Multiply

y = 1.9888129273 × 5280 feet/1 mile

= 10500.932256 feet

Approximately = 10,500.93 feet

Therefore, Tom walks for 10,500.93 feet

10560

Answer:

10,500.93 feet

Step-by-step explanation:

The stemplot shows the number of magazines sold by students in a band. One data value was inadvertently omitted from the stemplot. A stemplot titled magazines sold has values 8, 9, 12, 12, 13, 15, 16, 16, 16, 18, 21, 22, 23, 27, 28, 32, 34, 40. Which statement is true? If the missing data value was 55, the range of the data would change significantly. If the missing data value was 55, the interquartile range of the data would change significantly. If the missing data value was 22, the range of the data would change significantly. If the missing data value was 22, the interquartile range of the data would change significantly.

Answers

Answer:

If the missing data value was 55, the range of the data would change significantly

If the missing data value was 22, the interquartile range of the data would change significantly

Step-by-step explanation:

Given the data

8, 9, 12, 12, 13, 15, 16, 16, 16, 18, 21, 22, 23, 27, 28, 32, 34,40

The range of the data is the difference between the highest value and the lowest value of the data.

Highest value = 40

Lowest value = 8

Range = 40-8

Range = 32

If 55 was missing, we need yo find the range of the data if 55 was included.

Highest value will be 55

Lowest value = 8

Range in this case = 55-8

Range = 47

Difference in range = 47-32= 15

This means that if 55 was missing, it will significantly affect the value of the range.

- Interquartile range = Q3-Q1

Q3 is the median value of the other half of the data.

Q1 is the median value of the first half of the data.

If 55 wasn't included, the first part of the data:

8, 9, 12, 12), 13, (15, 16, 16, 16

Q1 = 13 (median value of the extracted data)

The second part of the data if 55 wasn't included:

18, 21, 22, 23), 27, (28, 32, 34, 40

Q3 = 27 (median value of the second part of the data)

IQR = Q3-Q1

IQR = 27-13

IQR = 14

If 55 was included, the data will be;

8, 9, 12, 12, 13, 15, 16, 16, 16, 18, 21, 22, 23, 27, 28, 32, 34, 40,55

Q1 = N+1/4 the value

N is the sample size = 19

Q1 = 19+1/4

Q1 = 20/4

Q1 = 5th value

The 5th value in the data is 13, hence Q1 is 13

Q3 = 3(N+1)/4th value

Q3 = 3(19+1)/4

Q3 = 60/4

Q3 is the 15th value in the dataset. Since the 15th value is 28, Q3 is 28

IQR = 28-13

IQR = 15 (if 55 was included)

Difference in IQR = 15-14 = 1

This means that if 55 was the missing data, the IQR will not change significantly.

Note that the range of the data will not change if the missing value is 22 because, the 22 is a value lower than the highest value of the dataset, hence the range will remain the same (40-8 = 32) irrespective of 22 missing or not.

For the Interquartile range

If 22 was in

Q3 = 3(N+1)/4th value

Q3 = 3(19+1)/4

Q3 = 60/4

Q3 is the 15th value in the dataset. Since the 15th value is 28, Q3 is 28

IQR = 28-13

IQR = 15 (if 55 was included)

Difference in IQR = 15-14 = 1

This means that if 55 was the missing data, the IQR will not change significantly.

Based on the calculation, the correct options are:

- If the missing data value was 55, the range of the data would change significantly

- If the missing data value was 22, the interquartile range of the data would change significantly

Answer:

a

Step-by-step explanation:

edge 2021

Which property is shown: 3t + 2r = 2r + 3t?​

Answers

Answer:

Commutative Property

Step-by-step explanation:

The commutative property shows two values or equations that are similar, but in a different order.

Examples:

3 + 4 = 4 + 3

5x + 2h = 2h + 5x

Capella is the 6th brightest star in the sky and is 41 light-years from earth. How many miles will light from Capella travel on its way to earth?

PLEASE EXPLAIN YOUR ANSWER THROUGHLY (i need to learn for a test)

Answers

9514 1404 393

Answer:

  2.41×10^14 miles

Step-by-step explanation:

The distance usually associated with a light-year is about 6 trillion miles. More precisely, it is about 5.879×10^12 miles. Then 41 light-years is 41 times that distance, or ...

  41 light-years = 41(5.879×10^12 miles) ≈ 2.41×10^14 miles

_____

You can figure the length of a light-year from the speed of light and the length of a year. The speed of light is about 186,282.4 miles per second. The number of seconds in a day is 86,400, and the number of days in a year averages 365.2425. Multiplying these values gets you to 5.878664e12 miles per year. The number used above is reasonable for most purposes. At astronomical distances, it is difficult to measure precisely.

Nine less than one fourth of a number 6. Find the number.

Answers

5.3057(600)578)542)(200)

Your free ride to work ends in 14 days. So, maybe you need a car? How much can you afford to spend? Below is what's available at a dealership near you. Which car should you buy? Before you decide, think about this: You do not have enough money in your account to buy a car. You'll have to finance your purchase. You'll have to put down 25% of the vehicle's selling price as a down payment.

Answers

Step-by-step explanation:

Kindly find attached a screenshot of the price list of some cars from motor 1 .com since you did not provide any in the question, and let us assume it is the same as what is available at a dealership near you.

From the list, since you don't have enough money in your account to buy a car, I will say you should get a 2017 Nissan Versa for $11,990

and 25% of  $11,990 is

(25/100)* 11,990

0.25* 11,990

$2997.5

So you can make a down payment of $2997.5

and pay the remainder of $8992.5 later

-3 ( -4 - 5x) = -18 i'll help with your questions :)))

Answers

Answer:

-15

Step-by-step explanation:

-3(-4-5x)= -18

12+15x= -18-12

15x= -30

x= -30÷15

x= -15

the distance between Two Cities on a map is 4.125. find the actual distance if the scale on the map was 2 inches = 40 miles

Answers

Answer:

85 miles.

Step-by-step explanation:

Lets begin by figuring out the number of miles in 4 inches. Since every 2 inches make 40 miles, we can figure out that there are 80 miles in 4 inches. To figure out that .125 part, we multiply 40 by .125, to get 5. We can add 80 plus 5 to get our grand total of 85 miles.

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